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gchilders
Aug 25th, 2026
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  1. Mon Aug 24 13:14:19 2026
  2. Mon Aug 24 13:14:19 2026
  3. Mon Aug 24 13:14:19 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Aug 24 13:14:19 2026 random seeds: 1dce85dc b2d81fd2
  5. Mon Aug 24 13:14:19 2026 MPI process 0 of 1
  6. Mon Aug 24 13:14:19 2026 Using 46 OpenMP threads
  7. Mon Aug 24 13:14:19 2026 factoring 6582300124136326770157970946726744221844272908326158044749895241817465329427683586345882260537864856229798470990141694918955273845085337876059015851945051548395258328990362327473441595784085893773572293249261378257582757160728476396538453948137 (244 digits)
  8. Mon Aug 24 13:14:20 2026 no P-1/P+1/ECM available, skipping
  9. Mon Aug 24 13:14:20 2026 commencing number field sieve (244-digit input)
  10. Mon Aug 24 13:14:20 2026 R0: 100000000000000000000000000000000000000000000000
  11. Mon Aug 24 13:14:20 2026 R1: -26588814358957503287787
  12. Mon Aug 24 13:14:20 2026 A0: 1
  13. Mon Aug 24 13:14:20 2026 A1: -1
  14. Mon Aug 24 13:14:20 2026 A2: 1
  15. Mon Aug 24 13:14:20 2026 A3: -1
  16. Mon Aug 24 13:14:20 2026 A4: 1
  17. Mon Aug 24 13:14:20 2026 A5: -1
  18. Mon Aug 24 13:14:20 2026 A6: 1
  19. Mon Aug 24 13:14:20 2026 skew 1.38, size 7.250e-14, alpha 2.428, combined = 1.568e-14 rroots = 0
  20. Mon Aug 24 13:14:20 2026
  21. Mon Aug 24 13:14:20 2026 commencing relation filtering
  22. Mon Aug 24 13:14:20 2026 setting target matrix density to 110.0
  23. Mon Aug 24 13:14:20 2026 estimated available RAM is 192069.0 MB
  24. Mon Aug 24 13:14:20 2026 commencing duplicate removal, pass 1
  25. Mon Aug 24 13:21:53 2026 skipped 2 relations with composite factors
  26. Mon Aug 24 13:21:53 2026 found 25989395 hash collisions in 685865780 relations
  27. Mon Aug 24 13:22:00 2026 added 2438534 free relations
  28. Mon Aug 24 13:22:00 2026 commencing duplicate removal, pass 2
  29. Mon Aug 24 13:25:29 2026 found 0 duplicates and 688304314 unique relations
  30. Mon Aug 24 13:25:29 2026 memory use: 2089.5 MB
  31. Mon Aug 24 13:25:29 2026 reading ideals above 720000
  32. Mon Aug 24 13:25:29 2026 commencing singleton removal, initial pass
  33. Mon Aug 24 14:00:12 2026 memory use: 11024.0 MB
  34. Mon Aug 24 14:00:12 2026 reading all ideals from disk
  35. Mon Aug 24 14:00:38 2026 memory use: 35047.6 MB
  36. Mon Aug 24 14:01:32 2026 keeping 623964550 ideals with weight <= 200, target excess is 3570877
  37. Mon Aug 24 14:02:43 2026 commencing in-memory singleton removal
  38. Mon Aug 24 14:02:50 2026 begin with 688304314 relations and 623964550 unique ideals
  39. Mon Aug 24 14:03:21 2026 reduce to 436080525 relations and 346780707 ideals in 15 passes
  40. Mon Aug 24 14:03:21 2026 max relations containing the same ideal: 158
  41. Mon Aug 24 14:05:05 2026 removing 14665105 relations and 12665105 ideals in 2000000 cliques
  42. Mon Aug 24 14:05:17 2026 commencing in-memory singleton removal
  43. Mon Aug 24 14:05:22 2026 begin with 421415420 relations and 346780707 unique ideals
  44. Mon Aug 24 14:05:35 2026 reduce to 421046081 relations and 333743757 ideals in 8 passes
  45. Mon Aug 24 14:05:35 2026 max relations containing the same ideal: 155
  46. Mon Aug 24 14:07:24 2026 removing 11057048 relations and 9057048 ideals in 2000000 cliques
  47. Mon Aug 24 14:07:36 2026 commencing in-memory singleton removal
  48. Mon Aug 24 14:07:40 2026 begin with 409989033 relations and 333743757 unique ideals
  49. Mon Aug 24 14:07:51 2026 reduce to 409757150 relations and 324453589 ideals in 7 passes
  50. Mon Aug 24 14:07:51 2026 max relations containing the same ideal: 153
  51. Mon Aug 24 14:09:36 2026 removing 9906665 relations and 7906665 ideals in 2000000 cliques
  52. Mon Aug 24 14:09:48 2026 commencing in-memory singleton removal
  53. Mon Aug 24 14:09:52 2026 begin with 399850485 relations and 324453589 unique ideals
  54. Mon Aug 24 14:10:03 2026 reduce to 399654702 relations and 316350045 ideals in 8 passes
  55. Mon Aug 24 14:10:03 2026 max relations containing the same ideal: 151
  56. Mon Aug 24 14:11:36 2026 removing 9246272 relations and 7246272 ideals in 2000000 cliques
  57. Mon Aug 24 14:11:47 2026 commencing in-memory singleton removal
  58. Mon Aug 24 14:11:51 2026 begin with 390408430 relations and 316350045 unique ideals
  59. Mon Aug 24 14:12:01 2026 reduce to 390232288 relations and 308926666 ideals in 7 passes
  60. Mon Aug 24 14:12:01 2026 max relations containing the same ideal: 148
  61. Mon Aug 24 14:13:33 2026 removing 8800284 relations and 6800284 ideals in 2000000 cliques
  62. Mon Aug 24 14:13:44 2026 commencing in-memory singleton removal
  63. Mon Aug 24 14:13:48 2026 begin with 381432004 relations and 308926666 unique ideals
  64. Mon Aug 24 14:13:58 2026 reduce to 381266339 relations and 301959837 ideals in 7 passes
  65. Mon Aug 24 14:13:58 2026 max relations containing the same ideal: 143
  66. Mon Aug 24 14:15:27 2026 removing 8468572 relations and 6468572 ideals in 2000000 cliques
  67. Mon Aug 24 14:15:37 2026 commencing in-memory singleton removal
  68. Mon Aug 24 14:15:41 2026 begin with 372797767 relations and 301959837 unique ideals
  69. Mon Aug 24 14:15:51 2026 reduce to 372639542 relations and 295332226 ideals in 7 passes
  70. Mon Aug 24 14:15:51 2026 max relations containing the same ideal: 142
  71. Mon Aug 24 14:17:19 2026 removing 8215326 relations and 6215326 ideals in 2000000 cliques
  72. Mon Aug 24 14:17:28 2026 commencing in-memory singleton removal
  73. Mon Aug 24 14:17:32 2026 begin with 364424216 relations and 295332226 unique ideals
  74. Mon Aug 24 14:17:42 2026 reduce to 364272282 relations and 288964205 ideals in 7 passes
  75. Mon Aug 24 14:17:42 2026 max relations containing the same ideal: 141
  76. Mon Aug 24 14:19:07 2026 removing 8013027 relations and 6013027 ideals in 2000000 cliques
  77. Mon Aug 24 14:19:17 2026 commencing in-memory singleton removal
  78. Mon Aug 24 14:19:21 2026 begin with 356259255 relations and 288964205 unique ideals
  79. Mon Aug 24 14:19:30 2026 reduce to 356111548 relations and 282802690 ideals in 7 passes
  80. Mon Aug 24 14:19:30 2026 max relations containing the same ideal: 137
  81. Mon Aug 24 14:20:54 2026 removing 7850310 relations and 5850310 ideals in 2000000 cliques
  82. Mon Aug 24 14:21:03 2026 commencing in-memory singleton removal
  83. Mon Aug 24 14:21:07 2026 begin with 348261238 relations and 282802690 unique ideals
  84. Mon Aug 24 14:21:15 2026 reduce to 348115545 relations and 276805902 ideals in 6 passes
  85. Mon Aug 24 14:21:15 2026 max relations containing the same ideal: 135
  86. Mon Aug 24 14:22:37 2026 removing 7713473 relations and 5713473 ideals in 2000000 cliques
  87. Mon Aug 24 14:22:46 2026 commencing in-memory singleton removal
  88. Mon Aug 24 14:22:50 2026 begin with 340402072 relations and 276805902 unique ideals
  89. Mon Aug 24 14:22:58 2026 reduce to 340259629 relations and 270949198 ideals in 6 passes
  90. Mon Aug 24 14:22:58 2026 max relations containing the same ideal: 133
  91. Mon Aug 24 14:24:19 2026 removing 7603821 relations and 5603821 ideals in 2000000 cliques
  92. Mon Aug 24 14:24:28 2026 commencing in-memory singleton removal
  93. Mon Aug 24 14:24:31 2026 begin with 332655808 relations and 270949198 unique ideals
  94. Mon Aug 24 14:24:39 2026 reduce to 332513945 relations and 265202690 ideals in 6 passes
  95. Mon Aug 24 14:24:39 2026 max relations containing the same ideal: 131
  96. Mon Aug 24 14:25:58 2026 removing 7507880 relations and 5507880 ideals in 2000000 cliques
  97. Mon Aug 24 14:26:07 2026 commencing in-memory singleton removal
  98. Mon Aug 24 14:26:10 2026 begin with 325006065 relations and 265202690 unique ideals
  99. Mon Aug 24 14:26:18 2026 reduce to 324864162 relations and 259552021 ideals in 6 passes
  100. Mon Aug 24 14:26:18 2026 max relations containing the same ideal: 130
  101. Mon Aug 24 14:27:36 2026 removing 7427568 relations and 5427568 ideals in 2000000 cliques
  102. Mon Aug 24 14:27:44 2026 commencing in-memory singleton removal
  103. Mon Aug 24 14:27:47 2026 begin with 317436594 relations and 259552021 unique ideals
  104. Mon Aug 24 14:27:55 2026 reduce to 317294788 relations and 253981751 ideals in 6 passes
  105. Mon Aug 24 14:27:55 2026 max relations containing the same ideal: 128
  106. Mon Aug 24 14:29:11 2026 removing 7358177 relations and 5358177 ideals in 2000000 cliques
  107. Mon Aug 24 14:29:20 2026 commencing in-memory singleton removal
  108. Mon Aug 24 14:29:23 2026 begin with 309936611 relations and 253981751 unique ideals
  109. Mon Aug 24 14:29:31 2026 reduce to 309794624 relations and 248480654 ideals in 7 passes
  110. Mon Aug 24 14:29:31 2026 max relations containing the same ideal: 125
  111. Mon Aug 24 14:30:45 2026 removing 7294408 relations and 5294408 ideals in 2000000 cliques
  112. Mon Aug 24 14:30:54 2026 commencing in-memory singleton removal
  113. Mon Aug 24 14:30:57 2026 begin with 302500216 relations and 248480654 unique ideals
  114. Mon Aug 24 14:31:04 2026 reduce to 302356522 relations and 243041569 ideals in 6 passes
  115. Mon Aug 24 14:31:04 2026 max relations containing the same ideal: 124
  116. Mon Aug 24 14:32:17 2026 removing 7248814 relations and 5248814 ideals in 2000000 cliques
  117. Mon Aug 24 14:32:25 2026 commencing in-memory singleton removal
  118. Mon Aug 24 14:32:28 2026 begin with 295107708 relations and 243041569 unique ideals
  119. Mon Aug 24 14:32:36 2026 reduce to 294964158 relations and 237648253 ideals in 7 passes
  120. Mon Aug 24 14:32:36 2026 max relations containing the same ideal: 122
  121. Mon Aug 24 14:33:47 2026 removing 7204132 relations and 5204132 ideals in 2000000 cliques
  122. Mon Aug 24 14:33:55 2026 commencing in-memory singleton removal
  123. Mon Aug 24 14:33:58 2026 begin with 287760026 relations and 237648253 unique ideals
  124. Mon Aug 24 14:34:06 2026 reduce to 287613890 relations and 232296974 ideals in 7 passes
  125. Mon Aug 24 14:34:06 2026 max relations containing the same ideal: 120
  126. Mon Aug 24 14:35:15 2026 removing 7166657 relations and 5166657 ideals in 2000000 cliques
  127. Mon Aug 24 14:35:23 2026 commencing in-memory singleton removal
  128. Mon Aug 24 14:35:26 2026 begin with 280447233 relations and 232296974 unique ideals
  129. Mon Aug 24 14:35:33 2026 reduce to 280299738 relations and 226981768 ideals in 6 passes
  130. Mon Aug 24 14:35:33 2026 max relations containing the same ideal: 118
  131. Mon Aug 24 14:36:41 2026 removing 7135035 relations and 5135035 ideals in 2000000 cliques
  132. Mon Aug 24 14:36:48 2026 commencing in-memory singleton removal
  133. Mon Aug 24 14:36:51 2026 begin with 273164703 relations and 226981768 unique ideals
  134. Mon Aug 24 14:36:58 2026 reduce to 273015547 relations and 221696447 ideals in 6 passes
  135. Mon Aug 24 14:36:58 2026 max relations containing the same ideal: 116
  136. Mon Aug 24 14:38:04 2026 removing 7107548 relations and 5107548 ideals in 2000000 cliques
  137. Mon Aug 24 14:38:11 2026 commencing in-memory singleton removal
  138. Mon Aug 24 14:38:14 2026 begin with 265907999 relations and 221696447 unique ideals
  139. Mon Aug 24 14:38:21 2026 reduce to 265755825 relations and 216435591 ideals in 7 passes
  140. Mon Aug 24 14:38:21 2026 max relations containing the same ideal: 115
  141. Mon Aug 24 14:39:25 2026 removing 7087157 relations and 5087157 ideals in 2000000 cliques
  142. Mon Aug 24 14:39:32 2026 commencing in-memory singleton removal
  143. Mon Aug 24 14:39:34 2026 begin with 258668668 relations and 216435591 unique ideals
  144. Mon Aug 24 14:39:41 2026 reduce to 258514753 relations and 211193351 ideals in 7 passes
  145. Mon Aug 24 14:39:41 2026 max relations containing the same ideal: 113
  146. Mon Aug 24 14:40:43 2026 removing 7072030 relations and 5072030 ideals in 2000000 cliques
  147. Mon Aug 24 14:40:50 2026 commencing in-memory singleton removal
  148. Mon Aug 24 14:40:53 2026 begin with 251442723 relations and 211193351 unique ideals
  149. Mon Aug 24 14:40:59 2026 reduce to 251285778 relations and 205963134 ideals in 6 passes
  150. Mon Aug 24 14:40:59 2026 max relations containing the same ideal: 111
  151. Mon Aug 24 14:41:59 2026 removing 7056568 relations and 5056568 ideals in 2000000 cliques
  152. Mon Aug 24 14:42:06 2026 commencing in-memory singleton removal
  153. Mon Aug 24 14:42:08 2026 begin with 244229210 relations and 205963134 unique ideals
  154. Mon Aug 24 14:42:14 2026 reduce to 244069449 relations and 200745463 ideals in 6 passes
  155. Mon Aug 24 14:42:14 2026 max relations containing the same ideal: 110
  156. Mon Aug 24 14:43:13 2026 removing 7050836 relations and 5050836 ideals in 2000000 cliques
  157. Mon Aug 24 14:43:20 2026 commencing in-memory singleton removal
  158. Mon Aug 24 14:43:22 2026 begin with 237018613 relations and 200745463 unique ideals
  159. Mon Aug 24 14:43:28 2026 reduce to 236854190 relations and 195528761 ideals in 6 passes
  160. Mon Aug 24 14:43:28 2026 max relations containing the same ideal: 107
  161. Mon Aug 24 14:44:26 2026 removing 7046765 relations and 5046765 ideals in 2000000 cliques
  162. Mon Aug 24 14:44:32 2026 commencing in-memory singleton removal
  163. Mon Aug 24 14:44:35 2026 begin with 229807425 relations and 195528761 unique ideals
  164. Mon Aug 24 14:44:41 2026 reduce to 229639854 relations and 190312909 ideals in 7 passes
  165. Mon Aug 24 14:44:41 2026 max relations containing the same ideal: 103
  166. Mon Aug 24 14:45:37 2026 removing 7040285 relations and 5040285 ideals in 2000000 cliques
  167. Mon Aug 24 14:45:43 2026 commencing in-memory singleton removal
  168. Mon Aug 24 14:45:46 2026 begin with 222599569 relations and 190312909 unique ideals
  169. Mon Aug 24 14:45:51 2026 reduce to 222428455 relations and 185099915 ideals in 6 passes
  170. Mon Aug 24 14:45:51 2026 max relations containing the same ideal: 101
  171. Mon Aug 24 14:46:46 2026 removing 7041709 relations and 5041709 ideals in 2000000 cliques
  172. Mon Aug 24 14:46:52 2026 commencing in-memory singleton removal
  173. Mon Aug 24 14:46:54 2026 begin with 215386746 relations and 185099915 unique ideals
  174. Mon Aug 24 14:46:59 2026 reduce to 215209565 relations and 179879451 ideals in 6 passes
  175. Mon Aug 24 14:46:59 2026 max relations containing the same ideal: 99
  176. Mon Aug 24 14:47:52 2026 removing 7045306 relations and 5045306 ideals in 2000000 cliques
  177. Mon Aug 24 14:47:58 2026 commencing in-memory singleton removal
  178. Mon Aug 24 14:48:01 2026 begin with 208164259 relations and 179879451 unique ideals
  179. Mon Aug 24 14:48:06 2026 reduce to 207981634 relations and 174649790 ideals in 7 passes
  180. Mon Aug 24 14:48:06 2026 max relations containing the same ideal: 97
  181. Mon Aug 24 14:48:58 2026 removing 7059579 relations and 5059579 ideals in 2000000 cliques
  182. Mon Aug 24 14:49:04 2026 commencing in-memory singleton removal
  183. Mon Aug 24 14:49:06 2026 begin with 200922055 relations and 174649790 unique ideals
  184. Mon Aug 24 14:49:11 2026 reduce to 200734892 relations and 169401224 ideals in 6 passes
  185. Mon Aug 24 14:49:11 2026 max relations containing the same ideal: 94
  186. Mon Aug 24 14:50:01 2026 removing 7064984 relations and 5064984 ideals in 2000000 cliques
  187. Mon Aug 24 14:50:07 2026 commencing in-memory singleton removal
  188. Mon Aug 24 14:50:09 2026 begin with 193669908 relations and 169401224 unique ideals
  189. Mon Aug 24 14:50:13 2026 reduce to 193476571 relations and 164140973 ideals in 6 passes
  190. Mon Aug 24 14:50:13 2026 max relations containing the same ideal: 93
  191. Mon Aug 24 14:51:02 2026 removing 7079674 relations and 5079674 ideals in 2000000 cliques
  192. Mon Aug 24 14:51:08 2026 commencing in-memory singleton removal
  193. Mon Aug 24 14:51:10 2026 begin with 186396897 relations and 164140973 unique ideals
  194. Mon Aug 24 14:51:15 2026 reduce to 186197090 relations and 158859369 ideals in 7 passes
  195. Mon Aug 24 14:51:15 2026 max relations containing the same ideal: 90
  196. Mon Aug 24 14:52:02 2026 removing 7097080 relations and 5097080 ideals in 2000000 cliques
  197. Mon Aug 24 14:52:07 2026 commencing in-memory singleton removal
  198. Mon Aug 24 14:52:09 2026 begin with 179100010 relations and 158859369 unique ideals
  199. Mon Aug 24 14:52:14 2026 reduce to 178893399 relations and 153553421 ideals in 6 passes
  200. Mon Aug 24 14:52:14 2026 max relations containing the same ideal: 86
  201. Mon Aug 24 14:53:00 2026 removing 7118715 relations and 5118715 ideals in 2000000 cliques
  202. Mon Aug 24 14:53:05 2026 commencing in-memory singleton removal
  203. Mon Aug 24 14:53:07 2026 begin with 171774684 relations and 153553421 unique ideals
  204. Mon Aug 24 14:53:11 2026 reduce to 171561412 relations and 148219084 ideals in 7 passes
  205. Mon Aug 24 14:53:11 2026 max relations containing the same ideal: 84
  206. Mon Aug 24 14:53:56 2026 removing 7137438 relations and 5137438 ideals in 2000000 cliques
  207. Mon Aug 24 14:54:01 2026 commencing in-memory singleton removal
  208. Mon Aug 24 14:54:03 2026 begin with 164423974 relations and 148219084 unique ideals
  209. Mon Aug 24 14:54:07 2026 reduce to 164202094 relations and 142857211 ideals in 7 passes
  210. Mon Aug 24 14:54:07 2026 max relations containing the same ideal: 82
  211. Mon Aug 24 14:54:50 2026 removing 7164305 relations and 5164305 ideals in 2000000 cliques
  212. Mon Aug 24 14:54:55 2026 commencing in-memory singleton removal
  213. Mon Aug 24 14:54:57 2026 begin with 157037789 relations and 142857211 unique ideals
  214. Mon Aug 24 14:55:01 2026 reduce to 156805407 relations and 137457768 ideals in 7 passes
  215. Mon Aug 24 14:55:01 2026 max relations containing the same ideal: 80
  216. Mon Aug 24 14:55:42 2026 removing 7192537 relations and 5192537 ideals in 2000000 cliques
  217. Mon Aug 24 14:55:47 2026 commencing in-memory singleton removal
  218. Mon Aug 24 14:55:48 2026 begin with 149612870 relations and 137457768 unique ideals
  219. Mon Aug 24 14:55:53 2026 reduce to 149370520 relations and 132019908 ideals in 8 passes
  220. Mon Aug 24 14:55:53 2026 max relations containing the same ideal: 78
  221. Mon Aug 24 14:56:37 2026 removing 7221677 relations and 5221677 ideals in 2000000 cliques
  222. Mon Aug 24 14:56:42 2026 commencing in-memory singleton removal
  223. Mon Aug 24 14:56:43 2026 begin with 142148843 relations and 132019908 unique ideals
  224. Mon Aug 24 14:56:47 2026 reduce to 141895068 relations and 126541206 ideals in 7 passes
  225. Mon Aug 24 14:56:47 2026 max relations containing the same ideal: 75
  226. Mon Aug 24 14:57:28 2026 removing 7261757 relations and 5261757 ideals in 2000000 cliques
  227. Mon Aug 24 14:57:32 2026 commencing in-memory singleton removal
  228. Mon Aug 24 14:57:34 2026 begin with 134633311 relations and 126541206 unique ideals
  229. Mon Aug 24 14:57:37 2026 reduce to 134365830 relations and 121008626 ideals in 7 passes
  230. Mon Aug 24 14:57:37 2026 max relations containing the same ideal: 73
  231. Mon Aug 24 14:58:16 2026 removing 7300252 relations and 5300252 ideals in 2000000 cliques
  232. Mon Aug 24 14:58:21 2026 commencing in-memory singleton removal
  233. Mon Aug 24 14:58:22 2026 begin with 127065578 relations and 121008626 unique ideals
  234. Mon Aug 24 14:58:25 2026 reduce to 126780844 relations and 115419848 ideals in 7 passes
  235. Mon Aug 24 14:58:25 2026 max relations containing the same ideal: 69
  236. Mon Aug 24 14:59:02 2026 removing 7342735 relations and 5342735 ideals in 2000000 cliques
  237. Mon Aug 24 14:59:06 2026 commencing in-memory singleton removal
  238. Mon Aug 24 14:59:07 2026 begin with 119438109 relations and 115419848 unique ideals
  239. Mon Aug 24 14:59:10 2026 reduce to 119134074 relations and 109768880 ideals in 7 passes
  240. Mon Aug 24 14:59:10 2026 max relations containing the same ideal: 66
  241. Mon Aug 24 14:59:44 2026 removing 7393401 relations and 5393401 ideals in 2000000 cliques
  242. Mon Aug 24 14:59:49 2026 commencing in-memory singleton removal
  243. Mon Aug 24 14:59:50 2026 begin with 111740673 relations and 109768880 unique ideals
  244. Mon Aug 24 14:59:53 2026 reduce to 111414454 relations and 104044351 ideals in 7 passes
  245. Mon Aug 24 14:59:53 2026 max relations containing the same ideal: 66
  246. Mon Aug 24 15:00:24 2026 removing 7454046 relations and 5454046 ideals in 2000000 cliques
  247. Mon Aug 24 15:00:28 2026 commencing in-memory singleton removal
  248. Mon Aug 24 15:00:29 2026 begin with 103960408 relations and 104044351 unique ideals
  249. Mon Aug 24 15:00:32 2026 reduce to 103604440 relations and 98228847 ideals in 8 passes
  250. Mon Aug 24 15:00:32 2026 max relations containing the same ideal: 63
  251. Mon Aug 24 15:01:02 2026 removing 5054760 relations and 3821385 ideals in 1233375 cliques
  252. Mon Aug 24 15:01:05 2026 commencing in-memory singleton removal
  253. Mon Aug 24 15:01:06 2026 begin with 98549680 relations and 98228847 unique ideals
  254. Mon Aug 24 15:01:09 2026 reduce to 98377221 relations and 94233222 ideals in 7 passes
  255. Mon Aug 24 15:01:09 2026 max relations containing the same ideal: 60
  256. Mon Aug 24 15:01:49 2026 relations with 0 large ideals: 271612
  257. Mon Aug 24 15:01:49 2026 relations with 1 large ideals: 145270
  258. Mon Aug 24 15:01:49 2026 relations with 2 large ideals: 1466266
  259. Mon Aug 24 15:01:49 2026 relations with 3 large ideals: 6886382
  260. Mon Aug 24 15:01:49 2026 relations with 4 large ideals: 17301496
  261. Mon Aug 24 15:01:49 2026 relations with 5 large ideals: 25773924
  262. Mon Aug 24 15:01:49 2026 relations with 6 large ideals: 23927913
  263. Mon Aug 24 15:01:49 2026 relations with 7+ large ideals: 22604358
  264. Mon Aug 24 15:01:49 2026 commencing 2-way merge
  265. Mon Aug 24 15:02:33 2026 reduce to 63679936 relation sets and 59535937 unique ideals
  266. Mon Aug 24 15:02:33 2026 commencing full merge
  267. Mon Aug 24 15:19:40 2026 memory use: 7658.9 MB
  268. Mon Aug 24 15:19:46 2026 found 30065063 cycles, need 29562137
  269. Mon Aug 24 15:19:56 2026 weight of 29562137 cycles is about 3252284478 (110.02/cycle)
  270. Mon Aug 24 15:19:56 2026 distribution of cycle lengths:
  271. Mon Aug 24 15:19:56 2026 1 relations: 1711298
  272. Mon Aug 24 15:19:56 2026 2 relations: 2025657
  273. Mon Aug 24 15:19:56 2026 3 relations: 2275073
  274. Mon Aug 24 15:19:56 2026 4 relations: 2320175
  275. Mon Aug 24 15:19:56 2026 5 relations: 2342925
  276. Mon Aug 24 15:19:56 2026 6 relations: 2318955
  277. Mon Aug 24 15:19:56 2026 7 relations: 2242881
  278. Mon Aug 24 15:19:56 2026 8 relations: 2135597
  279. Mon Aug 24 15:19:56 2026 9 relations: 1987646
  280. Mon Aug 24 15:19:56 2026 10+ relations: 10201930
  281. Mon Aug 24 15:19:56 2026 heaviest cycle: 26 relations
  282. Mon Aug 24 15:20:06 2026 commencing cycle optimization
  283. Mon Aug 24 15:21:01 2026 start with 235032379 relations
  284. Mon Aug 24 15:27:54 2026 pruned 9127720 relations
  285. Mon Aug 24 15:27:54 2026 memory use: 6475.5 MB
  286. Mon Aug 24 15:27:54 2026 distribution of cycle lengths:
  287. Mon Aug 24 15:27:54 2026 1 relations: 1711298
  288. Mon Aug 24 15:27:54 2026 2 relations: 2070059
  289. Mon Aug 24 15:27:54 2026 3 relations: 2363856
  290. Mon Aug 24 15:27:54 2026 4 relations: 2409293
  291. Mon Aug 24 15:27:54 2026 5 relations: 2453437
  292. Mon Aug 24 15:27:54 2026 6 relations: 2419468
  293. Mon Aug 24 15:27:54 2026 7 relations: 2349208
  294. Mon Aug 24 15:27:54 2026 8 relations: 2224369
  295. Mon Aug 24 15:27:54 2026 9 relations: 2063241
  296. Mon Aug 24 15:27:54 2026 10+ relations: 9497908
  297. Mon Aug 24 15:27:54 2026 heaviest cycle: 26 relations
  298. Mon Aug 24 15:28:51 2026 RelProcTime: 8071
  299. Mon Aug 24 15:28:51 2026 elapsed time 02:14:32
  300. Mon Aug 24 15:28:52 2026
  301. Mon Aug 24 15:28:52 2026
  302. Mon Aug 24 15:28:52 2026 Msieve v. 1.54 (SVN Unversioned directory)
  303. Mon Aug 24 15:28:52 2026 random seeds: 33ef4914 68d1463e
  304. Mon Aug 24 15:28:52 2026 MPI process 0 of 1
  305. Mon Aug 24 15:28:52 2026 Using 46 OpenMP threads
  306. Mon Aug 24 15:28:52 2026 factoring 6582300124136326770157970946726744221844272908326158044749895241817465329427683586345882260537864856229798470990141694918955273845085337876059015851945051548395258328990362327473441595784085893773572293249261378257582757160728476396538453948137 (244 digits)
  307. Mon Aug 24 15:28:53 2026 no P-1/P+1/ECM available, skipping
  308. Mon Aug 24 15:28:53 2026 commencing number field sieve (244-digit input)
  309. Mon Aug 24 15:28:53 2026 R0: 100000000000000000000000000000000000000000000000
  310. Mon Aug 24 15:28:53 2026 R1: -26588814358957503287787
  311. Mon Aug 24 15:28:53 2026 A0: 1
  312. Mon Aug 24 15:28:53 2026 A1: -1
  313. Mon Aug 24 15:28:53 2026 A2: 1
  314. Mon Aug 24 15:28:53 2026 A3: -1
  315. Mon Aug 24 15:28:53 2026 A4: 1
  316. Mon Aug 24 15:28:53 2026 A5: -1
  317. Mon Aug 24 15:28:53 2026 A6: 1
  318. Mon Aug 24 15:28:53 2026 skew 1.38, size 7.250e-14, alpha 2.428, combined = 1.568e-14 rroots = 0
  319. Mon Aug 24 15:28:53 2026
  320. Mon Aug 24 15:28:53 2026 commencing linear algebra
  321. Mon Aug 24 15:28:53 2026 using VBITS=128
  322. Mon Aug 24 15:28:53 2026 stopping after matrix build
  323. Mon Aug 24 15:28:53 2026 initialized process (0,0) of 1 x 1 grid
  324. Mon Aug 24 15:28:57 2026 read 29562137 cycles
  325. Mon Aug 24 15:30:03 2026 cycles contain 96323534 unique relations
  326. Mon Aug 24 15:31:08 2026 read 96323534 relations
  327. Mon Aug 24 15:31:17 2026 using 20 quadratic characters above 4294917295
  328. Mon Aug 24 15:31:29 2026 building initial matrix
  329. Mon Aug 24 15:50:29 2026 memory use: 12257.2 MB
  330. Mon Aug 24 15:50:57 2026 read 29562137 cycles
  331. Mon Aug 24 15:51:02 2026 matrix is 29561957 x 29562137 (12980.0 MB) with weight 3688750816 (124.78/col)
  332. Mon Aug 24 15:51:02 2026 sparse part has weight 3077446589 (104.10/col)
  333. Mon Aug 24 15:58:36 2026 filtering completed in 2 passes
  334. Mon Aug 24 15:58:41 2026 matrix is 29559175 x 29559352 (12979.7 MB) with weight 3688650989 (124.79/col)
  335. Mon Aug 24 15:58:41 2026 sparse part has weight 3077403153 (104.11/col)
  336. Mon Aug 24 16:00:15 2026 BLanczosTime: 1882
  337. Mon Aug 24 16:00:15 2026 elapsed time 00:31:23
  338. Mon Aug 24 16:01:58 2026
  339. Mon Aug 24 16:01:58 2026
  340. Mon Aug 24 16:01:58 2026 Msieve v. 1.54 (SVN Unversioned directory)
  341. Mon Aug 24 16:01:58 2026 random seeds: 58ccdac1 203d5e79
  342. Mon Aug 24 16:01:58 2026 MPI process 0 of 2
  343. Mon Aug 24 16:01:58 2026 Using 6 OpenMP threads
  344. Mon Aug 24 16:01:58 2026 factoring 6582300124136326770157970946726744221844272908326158044749895241817465329427683586345882260537864856229798470990141694918955273845085337876059015851945051548395258328990362327473441595784085893773572293249261378257582757160728476396538453948137 (244 digits)
  345. Mon Aug 24 16:02:00 2026 no P-1/P+1/ECM available, skipping
  346. Mon Aug 24 16:02:00 2026 commencing number field sieve (244-digit input)
  347. Mon Aug 24 16:02:00 2026 R0: 100000000000000000000000000000000000000000000000
  348. Mon Aug 24 16:02:00 2026 R1: -26588814358957503287787
  349. Mon Aug 24 16:02:00 2026 A0: 1
  350. Mon Aug 24 16:02:00 2026 A1: -1
  351. Mon Aug 24 16:02:00 2026 A2: 1
  352. Mon Aug 24 16:02:00 2026 A3: -1
  353. Mon Aug 24 16:02:00 2026 A4: 1
  354. Mon Aug 24 16:02:00 2026 A5: -1
  355. Mon Aug 24 16:02:00 2026 A6: 1
  356. Mon Aug 24 16:02:00 2026 skew 1.38, size 7.250e-14, alpha 2.428, combined = 1.568e-14 rroots = 0
  357. Mon Aug 24 16:02:00 2026
  358. Mon Aug 24 16:02:00 2026 commencing linear algebra
  359. Mon Aug 24 16:02:00 2026 using VBITS=256
  360. Mon Aug 24 16:02:00 2026 skipping matrix build
  361. Mon Aug 24 16:02:00 2026 initialized process (0,0) of 1 x 2 grid
  362. Mon Aug 24 16:02:14 2026 matrix starts at (0, 0)
  363. Mon Aug 24 16:02:17 2026 matrix is 29559175 x 14779614 (6489.9 MB) with weight 1844326360 (124.79/col)
  364. Mon Aug 24 16:02:17 2026 sparse part has weight 1538701701 (104.11/col)
  365. Mon Aug 24 16:02:17 2026 saving the first 240 matrix rows for later
  366. Mon Aug 24 16:02:24 2026 matrix includes 256 packed rows
  367. Mon Aug 24 16:02:33 2026 matrix is 29558935 x 14779614 (6035.0 MB) with weight 1412287768 (95.56/col)
  368. Mon Aug 24 16:02:33 2026 sparse part has weight 1345564880 (91.04/col)
  369. Mon Aug 24 16:02:33 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  370. Mon Aug 24 16:02:33 2026 selected card has CUDA arch 8.0
  371. Mon Aug 24 16:07:19 2026 commencing Lanczos iteration
  372. Mon Aug 24 16:07:23 2026 memory use: 15396.4 MB
  373. Mon Aug 24 16:08:04 2026 linear algebra at 0.1%, ETA 10h26m
  374. Mon Aug 24 16:09:03 2026 checking every 40000 dimensions, checkpointing every 2840000 dimensions
  375. Tue Aug 25 02:39:33 2026 lanczos halted after 115811 iterations (dim = 29558930)
  376. Tue Aug 25 02:46:40 2026 recovered 35 nontrivial dependencies
  377. Tue Aug 25 02:46:42 2026 BLanczosTime: 38682
  378. Tue Aug 25 02:46:42 2026 elapsed time 10:44:44
  379. Tue Aug 25 02:46:43 2026
  380. Tue Aug 25 02:46:43 2026
  381. Tue Aug 25 02:46:43 2026 Msieve v. 1.54 (SVN Unversioned directory)
  382. Tue Aug 25 02:46:43 2026 random seeds: 6ebc06f9 735f094a
  383. Tue Aug 25 02:46:43 2026 MPI process 0 of 1
  384. Tue Aug 25 02:46:43 2026 Using 32 OpenMP threads
  385. Tue Aug 25 02:46:43 2026 factoring 6582300124136326770157970946726744221844272908326158044749895241817465329427683586345882260537864856229798470990141694918955273845085337876059015851945051548395258328990362327473441595784085893773572293249261378257582757160728476396538453948137 (244 digits)
  386. Tue Aug 25 02:46:44 2026 no P-1/P+1/ECM available, skipping
  387. Tue Aug 25 02:46:44 2026 commencing number field sieve (244-digit input)
  388. Tue Aug 25 02:46:44 2026 R0: 100000000000000000000000000000000000000000000000
  389. Tue Aug 25 02:46:44 2026 R1: -26588814358957503287787
  390. Tue Aug 25 02:46:44 2026 A0: 1
  391. Tue Aug 25 02:46:44 2026 A1: -1
  392. Tue Aug 25 02:46:44 2026 A2: 1
  393. Tue Aug 25 02:46:44 2026 A3: -1
  394. Tue Aug 25 02:46:44 2026 A4: 1
  395. Tue Aug 25 02:46:44 2026 A5: -1
  396. Tue Aug 25 02:46:44 2026 A6: 1
  397. Tue Aug 25 02:46:44 2026 skew 1.38, size 7.250e-14, alpha 2.428, combined = 1.568e-14 rroots = 0
  398. Tue Aug 25 02:46:44 2026
  399. Tue Aug 25 02:46:44 2026 commencing square root phase
  400. Tue Aug 25 02:46:44 2026 reading relations for dependency 1
  401. Tue Aug 25 02:46:47 2026 read 14781129 cycles
  402. Tue Aug 25 02:47:19 2026 cycles contain 48168278 unique relations
  403. Tue Aug 25 02:49:14 2026 read 48168278 relations
  404. Tue Aug 25 02:52:25 2026 multiplying 48168278 relations
  405. Tue Aug 25 02:55:03 2026 multiply complete, coefficients have about 1289.87 million bits
  406. Tue Aug 25 02:55:08 2026 initial square root is modulo 610993
  407. Tue Aug 25 03:03:29 2026 GCD is N, no factor found
  408. Tue Aug 25 03:03:29 2026 reading relations for dependency 2
  409. Tue Aug 25 03:03:33 2026 read 14778776 cycles
  410. Tue Aug 25 03:04:04 2026 cycles contain 48151380 unique relations
  411. Tue Aug 25 03:05:01 2026 read 48151380 relations
  412. Tue Aug 25 03:08:46 2026 multiplying 48151380 relations
  413. Tue Aug 25 03:11:26 2026 multiply complete, coefficients have about 1289.41 million bits
  414. Tue Aug 25 03:11:31 2026 initial square root is modulo 608123
  415. Tue Aug 25 03:20:00 2026 sqrtTime: 1996
  416. Tue Aug 25 03:20:00 2026 p98 factor: 24816718326855046992525706505578105634143822200087973210239164918916682709331915327527575831816717
  417. Tue Aug 25 03:20:00 2026 p147 factor: 265236524726695529057456238702064952214556038605995106116936392015460070815451155254529167874655102646926535811911090465980467599939589565508605261
  418. Tue Aug 25 03:20:00 2026 elapsed time 00:33:17
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