gchilders

5p3_469

Oct 12th, 2025
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  1. Sun Oct 12 11:11:40 2025
  2. Sun Oct 12 11:11:40 2025
  3. Sun Oct 12 11:11:40 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Oct 12 11:11:40 2025 random seeds: 4ea5f275 12bd20dd
  5. Sun Oct 12 11:11:40 2025 MPI process 0 of 1
  6. Sun Oct 12 11:11:40 2025 Using 46 OpenMP threads
  7. Sun Oct 12 11:11:40 2025 factoring 46217767840477668319459292674137882639677734302914600042027776691510675466831330238724955775002812061679595300505226635541690885371527658193704847168419077395419936930530973597827478176743053655944594467 (203 digits)
  8. Sun Oct 12 11:11:41 2025 no P-1/P+1/ECM available, skipping
  9. Sun Oct 12 11:11:41 2025 commencing number field sieve (203-digit input)
  10. Sun Oct 12 11:11:41 2025 R0: 67762635780344027125465800054371356964111328125
  11. Sun Oct 12 11:11:41 2025 R1: -92709463147897837085761925410587
  12. Sun Oct 12 11:11:41 2025 A0: 1
  13. Sun Oct 12 11:11:41 2025 A1: -1
  14. Sun Oct 12 11:11:41 2025 A2: 1
  15. Sun Oct 12 11:11:41 2025 A3: -1
  16. Sun Oct 12 11:11:41 2025 A4: 1
  17. Sun Oct 12 11:11:41 2025 A5: -1
  18. Sun Oct 12 11:11:41 2025 A6: 1
  19. Sun Oct 12 11:11:41 2025 skew 1.00, size 8.102e-14, alpha 2.428, combined = 1.699e-14 rroots = 0
  20. Sun Oct 12 11:11:41 2025
  21. Sun Oct 12 11:11:41 2025 commencing relation filtering
  22. Sun Oct 12 11:11:41 2025 setting target matrix density to 110.0
  23. Sun Oct 12 11:11:41 2025 estimated available RAM is 385608.3 MB
  24. Sun Oct 12 11:11:41 2025 commencing duplicate removal, pass 1
  25. Sun Oct 12 11:14:26 2025 error -11 reading relation 221241082
  26. Sun Oct 12 11:14:29 2025 error -5 reading relation 224706260
  27. Sun Oct 12 11:16:12 2025 error -11 reading relation 360822433
  28. Sun Oct 12 11:16:18 2025 error -5 reading relation 369080203
  29. Sun Oct 12 11:17:00 2025 error -5 reading relation 425002837
  30. Sun Oct 12 11:17:34 2025 error -5 reading relation 470980163
  31. Sun Oct 12 11:17:34 2025 error -6 reading relation 470980254
  32. Sun Oct 12 11:17:34 2025 error -5 reading relation 470980302
  33. Sun Oct 12 11:17:36 2025 error -5 reading relation 473427866
  34. Sun Oct 12 11:17:37 2025 error -15 reading relation 474778871
  35. Sun Oct 12 11:17:48 2025 error -5 reading relation 490315280
  36. Sun Oct 12 11:17:50 2025 error -5 reading relation 492427824
  37. Sun Oct 12 11:18:27 2025 error -1 reading relation 542543612
  38. Sun Oct 12 11:18:27 2025 error -1 reading relation 542706523
  39. Sun Oct 12 11:18:29 2025 error -1 reading relation 544852943
  40. Sun Oct 12 11:19:04 2025 error -15 reading relation 592874255
  41. Sun Oct 12 11:19:05 2025 error -15 reading relation 593001008
  42. Sun Oct 12 11:19:35 2025 error -15 reading relation 634169432
  43. Sun Oct 12 11:19:40 2025 error -5 reading relation 641568456
  44. Sun Oct 12 11:19:40 2025 error -1 reading relation 641568534
  45. Sun Oct 12 11:19:40 2025 error -5 reading relation 641596473
  46. Sun Oct 12 11:19:40 2025 error -15 reading relation 641598522
  47. Sun Oct 12 11:19:40 2025 error -1 reading relation 641771349
  48. Sun Oct 12 11:19:40 2025 error -1 reading relation 641771420
  49. Sun Oct 12 11:19:40 2025 error -5 reading relation 641771421
  50. Sun Oct 12 11:19:55 2025 error -11 reading relation 662217006
  51. Sun Oct 12 11:20:10 2025 skipped 10986 relations with b > 2^32
  52. Sun Oct 12 11:20:10 2025 skipped 1 relations with composite factors
  53. Sun Oct 12 11:20:10 2025 skipped 1143 malformed relations
  54. Sun Oct 12 11:20:10 2025 found 25832320 hash collisions in 683780428 relations
  55. Sun Oct 12 11:20:16 2025 added 2438534 free relations
  56. Sun Oct 12 11:20:16 2025 commencing duplicate removal, pass 2
  57. Sun Oct 12 11:22:24 2025 found 0 duplicates and 686218962 unique relations
  58. Sun Oct 12 11:22:24 2025 memory use: 2089.5 MB
  59. Sun Oct 12 11:22:24 2025 reading ideals above 720000
  60. Sun Oct 12 11:22:24 2025 commencing singleton removal, initial pass
  61. Sun Oct 12 11:50:08 2025 memory use: 11024.0 MB
  62. Sun Oct 12 11:50:08 2025 reading all ideals from disk
  63. Sun Oct 12 11:50:18 2025 memory use: 34908.9 MB
  64. Sun Oct 12 11:51:18 2025 keeping 620394757 ideals with weight <= 200, target excess is 3585674
  65. Sun Oct 12 11:52:31 2025 commencing in-memory singleton removal
  66. Sun Oct 12 11:52:37 2025 begin with 686218962 relations and 620394757 unique ideals
  67. Sun Oct 12 11:53:05 2025 reduce to 433229281 relations and 342098267 ideals in 13 passes
  68. Sun Oct 12 11:53:05 2025 max relations containing the same ideal: 160
  69. Sun Oct 12 11:54:35 2025 removing 14235996 relations and 12235996 ideals in 2000000 cliques
  70. Sun Oct 12 11:54:45 2025 commencing in-memory singleton removal
  71. Sun Oct 12 11:54:50 2025 begin with 418993285 relations and 342098267 unique ideals
  72. Sun Oct 12 11:55:03 2025 reduce to 418660851 relations and 329527596 ideals in 9 passes
  73. Sun Oct 12 11:55:03 2025 max relations containing the same ideal: 154
  74. Sun Oct 12 11:56:56 2025 removing 10767775 relations and 8767775 ideals in 2000000 cliques
  75. Sun Oct 12 11:57:06 2025 commencing in-memory singleton removal
  76. Sun Oct 12 11:57:10 2025 begin with 407893076 relations and 329527596 unique ideals
  77. Sun Oct 12 11:57:22 2025 reduce to 407681075 relations and 320546711 ideals in 8 passes
  78. Sun Oct 12 11:57:22 2025 max relations containing the same ideal: 151
  79. Sun Oct 12 11:59:11 2025 removing 9656483 relations and 7656483 ideals in 2000000 cliques
  80. Sun Oct 12 11:59:22 2025 commencing in-memory singleton removal
  81. Sun Oct 12 11:59:25 2025 begin with 398024592 relations and 320546711 unique ideals
  82. Sun Oct 12 11:59:36 2025 reduce to 397845060 relations and 312709785 ideals in 7 passes
  83. Sun Oct 12 11:59:36 2025 max relations containing the same ideal: 150
  84. Sun Oct 12 12:01:18 2025 removing 9021750 relations and 7021750 ideals in 2000000 cliques
  85. Sun Oct 12 12:01:27 2025 commencing in-memory singleton removal
  86. Sun Oct 12 12:01:31 2025 begin with 388823310 relations and 312709785 unique ideals
  87. Sun Oct 12 12:01:40 2025 reduce to 388659586 relations and 305523446 ideals in 6 passes
  88. Sun Oct 12 12:01:40 2025 max relations containing the same ideal: 146
  89. Sun Oct 12 12:03:14 2025 removing 8589471 relations and 6589471 ideals in 2000000 cliques
  90. Sun Oct 12 12:03:23 2025 commencing in-memory singleton removal
  91. Sun Oct 12 12:03:27 2025 begin with 380070115 relations and 305523446 unique ideals
  92. Sun Oct 12 12:03:37 2025 reduce to 379915906 relations and 298778964 ideals in 7 passes
  93. Sun Oct 12 12:03:37 2025 max relations containing the same ideal: 145
  94. Sun Oct 12 12:05:06 2025 removing 8269615 relations and 6269615 ideals in 2000000 cliques
  95. Sun Oct 12 12:05:14 2025 commencing in-memory singleton removal
  96. Sun Oct 12 12:05:18 2025 begin with 371646291 relations and 298778964 unique ideals
  97. Sun Oct 12 12:05:27 2025 reduce to 371499847 relations and 292362149 ideals in 6 passes
  98. Sun Oct 12 12:05:27 2025 max relations containing the same ideal: 144
  99. Sun Oct 12 12:06:52 2025 removing 8025130 relations and 6025130 ideals in 2000000 cliques
  100. Sun Oct 12 12:07:00 2025 commencing in-memory singleton removal
  101. Sun Oct 12 12:07:04 2025 begin with 363474717 relations and 292362149 unique ideals
  102. Sun Oct 12 12:07:13 2025 reduce to 363333139 relations and 286194658 ideals in 6 passes
  103. Sun Oct 12 12:07:13 2025 max relations containing the same ideal: 142
  104. Sun Oct 12 12:08:36 2025 removing 7831135 relations and 5831135 ideals in 2000000 cliques
  105. Sun Oct 12 12:08:44 2025 commencing in-memory singleton removal
  106. Sun Oct 12 12:08:48 2025 begin with 355502004 relations and 286194658 unique ideals
  107. Sun Oct 12 12:08:57 2025 reduce to 355362896 relations and 280223657 ideals in 6 passes
  108. Sun Oct 12 12:08:57 2025 max relations containing the same ideal: 139
  109. Sun Oct 12 12:10:32 2025 removing 7675366 relations and 5675366 ideals in 2000000 cliques
  110. Sun Oct 12 12:10:40 2025 commencing in-memory singleton removal
  111. Sun Oct 12 12:10:44 2025 begin with 347687530 relations and 280223657 unique ideals
  112. Sun Oct 12 12:10:52 2025 reduce to 347551839 relations and 274411833 ideals in 6 passes
  113. Sun Oct 12 12:10:52 2025 max relations containing the same ideal: 139
  114. Sun Oct 12 12:12:15 2025 removing 7547393 relations and 5547393 ideals in 2000000 cliques
  115. Sun Oct 12 12:12:23 2025 commencing in-memory singleton removal
  116. Sun Oct 12 12:12:26 2025 begin with 340004446 relations and 274411833 unique ideals
  117. Sun Oct 12 12:12:35 2025 reduce to 339869394 relations and 268728635 ideals in 6 passes
  118. Sun Oct 12 12:12:35 2025 max relations containing the same ideal: 137
  119. Sun Oct 12 12:14:07 2025 removing 7439312 relations and 5439312 ideals in 2000000 cliques
  120. Sun Oct 12 12:14:15 2025 commencing in-memory singleton removal
  121. Sun Oct 12 12:14:18 2025 begin with 332430082 relations and 268728635 unique ideals
  122. Sun Oct 12 12:14:27 2025 reduce to 332296644 relations and 263155096 ideals in 6 passes
  123. Sun Oct 12 12:14:27 2025 max relations containing the same ideal: 135
  124. Sun Oct 12 12:15:56 2025 removing 7345714 relations and 5345714 ideals in 2000000 cliques
  125. Sun Oct 12 12:16:04 2025 commencing in-memory singleton removal
  126. Sun Oct 12 12:16:07 2025 begin with 324950930 relations and 263155096 unique ideals
  127. Sun Oct 12 12:16:15 2025 reduce to 324817216 relations and 257674881 ideals in 6 passes
  128. Sun Oct 12 12:16:15 2025 max relations containing the same ideal: 130
  129. Sun Oct 12 12:17:31 2025 removing 7273234 relations and 5273234 ideals in 2000000 cliques
  130. Sun Oct 12 12:17:38 2025 commencing in-memory singleton removal
  131. Sun Oct 12 12:17:41 2025 begin with 317543982 relations and 257674881 unique ideals
  132. Sun Oct 12 12:17:49 2025 reduce to 317410452 relations and 252267276 ideals in 6 passes
  133. Sun Oct 12 12:17:49 2025 max relations containing the same ideal: 128
  134. Sun Oct 12 12:19:02 2025 removing 7206906 relations and 5206906 ideals in 2000000 cliques
  135. Sun Oct 12 12:19:09 2025 commencing in-memory singleton removal
  136. Sun Oct 12 12:19:13 2025 begin with 310203546 relations and 252267276 unique ideals
  137. Sun Oct 12 12:19:20 2025 reduce to 310068580 relations and 246924546 ideals in 6 passes
  138. Sun Oct 12 12:19:20 2025 max relations containing the same ideal: 126
  139. Sun Oct 12 12:20:33 2025 removing 7146824 relations and 5146824 ideals in 2000000 cliques
  140. Sun Oct 12 12:20:39 2025 commencing in-memory singleton removal
  141. Sun Oct 12 12:20:42 2025 begin with 302921756 relations and 246924546 unique ideals
  142. Sun Oct 12 12:20:50 2025 reduce to 302786181 relations and 241641223 ideals in 7 passes
  143. Sun Oct 12 12:20:50 2025 max relations containing the same ideal: 124
  144. Sun Oct 12 12:22:00 2025 removing 7095833 relations and 5095833 ideals in 2000000 cliques
  145. Sun Oct 12 12:22:06 2025 commencing in-memory singleton removal
  146. Sun Oct 12 12:22:09 2025 begin with 295690348 relations and 241641223 unique ideals
  147. Sun Oct 12 12:22:16 2025 reduce to 295554419 relations and 236408501 ideals in 6 passes
  148. Sun Oct 12 12:22:16 2025 max relations containing the same ideal: 123
  149. Sun Oct 12 12:23:27 2025 removing 7055476 relations and 5055476 ideals in 2000000 cliques
  150. Sun Oct 12 12:23:34 2025 commencing in-memory singleton removal
  151. Sun Oct 12 12:23:37 2025 begin with 288498943 relations and 236408501 unique ideals
  152. Sun Oct 12 12:23:43 2025 reduce to 288360542 relations and 231213632 ideals in 6 passes
  153. Sun Oct 12 12:23:43 2025 max relations containing the same ideal: 121
  154. Sun Oct 12 12:24:52 2025 removing 7026819 relations and 5026819 ideals in 2000000 cliques
  155. Sun Oct 12 12:24:59 2025 commencing in-memory singleton removal
  156. Sun Oct 12 12:25:02 2025 begin with 281333723 relations and 231213632 unique ideals
  157. Sun Oct 12 12:25:08 2025 reduce to 281193636 relations and 226045709 ideals in 6 passes
  158. Sun Oct 12 12:25:08 2025 max relations containing the same ideal: 119
  159. Sun Oct 12 12:26:17 2025 removing 6992582 relations and 4992582 ideals in 2000000 cliques
  160. Sun Oct 12 12:26:23 2025 commencing in-memory singleton removal
  161. Sun Oct 12 12:26:26 2025 begin with 274201054 relations and 226045709 unique ideals
  162. Sun Oct 12 12:26:32 2025 reduce to 274058573 relations and 220909543 ideals in 6 passes
  163. Sun Oct 12 12:26:32 2025 max relations containing the same ideal: 117
  164. Sun Oct 12 12:27:36 2025 removing 6971228 relations and 4971228 ideals in 2000000 cliques
  165. Sun Oct 12 12:27:43 2025 commencing in-memory singleton removal
  166. Sun Oct 12 12:27:45 2025 begin with 267087345 relations and 220909543 unique ideals
  167. Sun Oct 12 12:27:52 2025 reduce to 266942687 relations and 215792552 ideals in 6 passes
  168. Sun Oct 12 12:27:52 2025 max relations containing the same ideal: 115
  169. Sun Oct 12 12:28:54 2025 removing 6950872 relations and 4950872 ideals in 2000000 cliques
  170. Sun Oct 12 12:29:00 2025 commencing in-memory singleton removal
  171. Sun Oct 12 12:29:03 2025 begin with 259991815 relations and 215792552 unique ideals
  172. Sun Oct 12 12:29:09 2025 reduce to 259844762 relations and 210693441 ideals in 6 passes
  173. Sun Oct 12 12:29:09 2025 max relations containing the same ideal: 114
  174. Sun Oct 12 12:30:10 2025 removing 6934831 relations and 4934831 ideals in 2000000 cliques
  175. Sun Oct 12 12:30:16 2025 commencing in-memory singleton removal
  176. Sun Oct 12 12:30:18 2025 begin with 252909931 relations and 210693441 unique ideals
  177. Sun Oct 12 12:30:24 2025 reduce to 252759772 relations and 205607230 ideals in 6 passes
  178. Sun Oct 12 12:30:24 2025 max relations containing the same ideal: 110
  179. Sun Oct 12 12:31:24 2025 removing 6923984 relations and 4923984 ideals in 2000000 cliques
  180. Sun Oct 12 12:31:30 2025 commencing in-memory singleton removal
  181. Sun Oct 12 12:31:32 2025 begin with 245835788 relations and 205607230 unique ideals
  182. Sun Oct 12 12:31:38 2025 reduce to 245683221 relations and 200529409 ideals in 6 passes
  183. Sun Oct 12 12:31:38 2025 max relations containing the same ideal: 108
  184. Sun Oct 12 12:32:36 2025 removing 6918462 relations and 4918462 ideals in 2000000 cliques
  185. Sun Oct 12 12:32:42 2025 commencing in-memory singleton removal
  186. Sun Oct 12 12:32:44 2025 begin with 238764759 relations and 200529409 unique ideals
  187. Sun Oct 12 12:32:50 2025 reduce to 238608300 relations and 195453119 ideals in 6 passes
  188. Sun Oct 12 12:32:50 2025 max relations containing the same ideal: 108
  189. Sun Oct 12 12:33:46 2025 removing 6913119 relations and 4913119 ideals in 2000000 cliques
  190. Sun Oct 12 12:33:52 2025 commencing in-memory singleton removal
  191. Sun Oct 12 12:33:54 2025 begin with 231695181 relations and 195453119 unique ideals
  192. Sun Oct 12 12:34:00 2025 reduce to 231534878 relations and 190378313 ideals in 7 passes
  193. Sun Oct 12 12:34:00 2025 max relations containing the same ideal: 108
  194. Sun Oct 12 12:34:56 2025 removing 6915110 relations and 4915110 ideals in 2000000 cliques
  195. Sun Oct 12 12:35:01 2025 commencing in-memory singleton removal
  196. Sun Oct 12 12:35:03 2025 begin with 224619768 relations and 190378313 unique ideals
  197. Sun Oct 12 12:35:09 2025 reduce to 224455835 relations and 185297790 ideals in 6 passes
  198. Sun Oct 12 12:35:09 2025 max relations containing the same ideal: 106
  199. Sun Oct 12 12:36:02 2025 removing 6910882 relations and 4910882 ideals in 2000000 cliques
  200. Sun Oct 12 12:36:07 2025 commencing in-memory singleton removal
  201. Sun Oct 12 12:36:09 2025 begin with 217544953 relations and 185297790 unique ideals
  202. Sun Oct 12 12:36:15 2025 reduce to 217375783 relations and 180216123 ideals in 7 passes
  203. Sun Oct 12 12:36:15 2025 max relations containing the same ideal: 102
  204. Sun Oct 12 12:37:07 2025 removing 6917606 relations and 4917606 ideals in 2000000 cliques
  205. Sun Oct 12 12:37:12 2025 commencing in-memory singleton removal
  206. Sun Oct 12 12:37:14 2025 begin with 210458177 relations and 180216123 unique ideals
  207. Sun Oct 12 12:37:20 2025 reduce to 210285025 relations and 175123704 ideals in 7 passes
  208. Sun Oct 12 12:37:20 2025 max relations containing the same ideal: 98
  209. Sun Oct 12 12:38:10 2025 removing 6927021 relations and 4927021 ideals in 2000000 cliques
  210. Sun Oct 12 12:38:15 2025 commencing in-memory singleton removal
  211. Sun Oct 12 12:38:17 2025 begin with 203358004 relations and 175123704 unique ideals
  212. Sun Oct 12 12:38:22 2025 reduce to 203179125 relations and 170015975 ideals in 6 passes
  213. Sun Oct 12 12:38:22 2025 max relations containing the same ideal: 98
  214. Sun Oct 12 12:39:11 2025 removing 6940881 relations and 4940881 ideals in 2000000 cliques
  215. Sun Oct 12 12:39:16 2025 commencing in-memory singleton removal
  216. Sun Oct 12 12:39:18 2025 begin with 196238244 relations and 170015975 unique ideals
  217. Sun Oct 12 12:39:22 2025 reduce to 196053505 relations and 164888486 ideals in 6 passes
  218. Sun Oct 12 12:39:22 2025 max relations containing the same ideal: 95
  219. Sun Oct 12 12:40:10 2025 removing 6953606 relations and 4953606 ideals in 2000000 cliques
  220. Sun Oct 12 12:40:14 2025 commencing in-memory singleton removal
  221. Sun Oct 12 12:40:16 2025 begin with 189099899 relations and 164888486 unique ideals
  222. Sun Oct 12 12:40:21 2025 reduce to 188909941 relations and 159742860 ideals in 6 passes
  223. Sun Oct 12 12:40:21 2025 max relations containing the same ideal: 92
  224. Sun Oct 12 12:41:06 2025 removing 6971557 relations and 4971557 ideals in 2000000 cliques
  225. Sun Oct 12 12:41:11 2025 commencing in-memory singleton removal
  226. Sun Oct 12 12:41:13 2025 begin with 181938384 relations and 159742860 unique ideals
  227. Sun Oct 12 12:41:18 2025 reduce to 181742853 relations and 154573662 ideals in 7 passes
  228. Sun Oct 12 12:41:18 2025 max relations containing the same ideal: 87
  229. Sun Oct 12 12:42:02 2025 removing 6990390 relations and 4990390 ideals in 2000000 cliques
  230. Sun Oct 12 12:42:06 2025 commencing in-memory singleton removal
  231. Sun Oct 12 12:42:08 2025 begin with 174752463 relations and 154573662 unique ideals
  232. Sun Oct 12 12:42:13 2025 reduce to 174548259 relations and 149376843 ideals in 7 passes
  233. Sun Oct 12 12:42:13 2025 max relations containing the same ideal: 87
  234. Sun Oct 12 12:42:56 2025 removing 7017396 relations and 5017396 ideals in 2000000 cliques
  235. Sun Oct 12 12:43:00 2025 commencing in-memory singleton removal
  236. Sun Oct 12 12:43:02 2025 begin with 167530863 relations and 149376843 unique ideals
  237. Sun Oct 12 12:43:06 2025 reduce to 167319096 relations and 144145224 ideals in 6 passes
  238. Sun Oct 12 12:43:06 2025 max relations containing the same ideal: 84
  239. Sun Oct 12 12:43:46 2025 removing 7040215 relations and 5040215 ideals in 2000000 cliques
  240. Sun Oct 12 12:43:50 2025 commencing in-memory singleton removal
  241. Sun Oct 12 12:43:52 2025 begin with 160278881 relations and 144145224 unique ideals
  242. Sun Oct 12 12:43:56 2025 reduce to 160057808 relations and 138881324 ideals in 7 passes
  243. Sun Oct 12 12:43:56 2025 max relations containing the same ideal: 80
  244. Sun Oct 12 12:44:36 2025 removing 7074037 relations and 5074037 ideals in 2000000 cliques
  245. Sun Oct 12 12:44:40 2025 commencing in-memory singleton removal
  246. Sun Oct 12 12:44:42 2025 begin with 152983771 relations and 138881324 unique ideals
  247. Sun Oct 12 12:44:46 2025 reduce to 152752916 relations and 133573710 ideals in 6 passes
  248. Sun Oct 12 12:44:46 2025 max relations containing the same ideal: 78
  249. Sun Oct 12 12:45:24 2025 removing 7108174 relations and 5108174 ideals in 2000000 cliques
  250. Sun Oct 12 12:45:28 2025 commencing in-memory singleton removal
  251. Sun Oct 12 12:45:30 2025 begin with 145644742 relations and 133573710 unique ideals
  252. Sun Oct 12 12:45:33 2025 reduce to 145402970 relations and 128220812 ideals in 7 passes
  253. Sun Oct 12 12:45:33 2025 max relations containing the same ideal: 75
  254. Sun Oct 12 12:46:11 2025 removing 7142048 relations and 5142048 ideals in 2000000 cliques
  255. Sun Oct 12 12:46:14 2025 commencing in-memory singleton removal
  256. Sun Oct 12 12:46:16 2025 begin with 138260922 relations and 128220812 unique ideals
  257. Sun Oct 12 12:46:19 2025 reduce to 138006567 relations and 122821095 ideals in 6 passes
  258. Sun Oct 12 12:46:19 2025 max relations containing the same ideal: 75
  259. Sun Oct 12 12:46:55 2025 removing 7184046 relations and 5184046 ideals in 2000000 cliques
  260. Sun Oct 12 12:46:58 2025 commencing in-memory singleton removal
  261. Sun Oct 12 12:47:00 2025 begin with 130822521 relations and 122821095 unique ideals
  262. Sun Oct 12 12:47:03 2025 reduce to 130553354 relations and 117364351 ideals in 7 passes
  263. Sun Oct 12 12:47:03 2025 max relations containing the same ideal: 71
  264. Sun Oct 12 12:47:37 2025 removing 7224371 relations and 5224371 ideals in 2000000 cliques
  265. Sun Oct 12 12:47:40 2025 commencing in-memory singleton removal
  266. Sun Oct 12 12:47:42 2025 begin with 123328983 relations and 117364351 unique ideals
  267. Sun Oct 12 12:47:45 2025 reduce to 123043327 relations and 111850292 ideals in 6 passes
  268. Sun Oct 12 12:47:45 2025 max relations containing the same ideal: 70
  269. Sun Oct 12 12:48:17 2025 removing 7277363 relations and 5277363 ideals in 2000000 cliques
  270. Sun Oct 12 12:48:20 2025 commencing in-memory singleton removal
  271. Sun Oct 12 12:48:21 2025 begin with 115765964 relations and 111850292 unique ideals
  272. Sun Oct 12 12:48:24 2025 reduce to 115460641 relations and 106263365 ideals in 7 passes
  273. Sun Oct 12 12:48:24 2025 max relations containing the same ideal: 66
  274. Sun Oct 12 12:48:54 2025 removing 7334138 relations and 5334138 ideals in 2000000 cliques
  275. Sun Oct 12 12:48:57 2025 commencing in-memory singleton removal
  276. Sun Oct 12 12:48:58 2025 begin with 108126503 relations and 106263365 unique ideals
  277. Sun Oct 12 12:49:01 2025 reduce to 107795121 relations and 100592818 ideals in 7 passes
  278. Sun Oct 12 12:49:01 2025 max relations containing the same ideal: 64
  279. Sun Oct 12 12:49:29 2025 removing 7398782 relations and 5398782 ideals in 2000000 cliques
  280. Sun Oct 12 12:49:32 2025 commencing in-memory singleton removal
  281. Sun Oct 12 12:49:34 2025 begin with 100396339 relations and 100592818 unique ideals
  282. Sun Oct 12 12:49:37 2025 reduce to 100033527 relations and 94825374 ideals in 8 passes
  283. Sun Oct 12 12:49:37 2025 max relations containing the same ideal: 61
  284. Sun Oct 12 12:50:03 2025 removing 4409417 relations and 3360646 ideals in 1048771 cliques
  285. Sun Oct 12 12:50:06 2025 commencing in-memory singleton removal
  286. Sun Oct 12 12:50:07 2025 begin with 95624110 relations and 94825374 unique ideals
  287. Sun Oct 12 12:50:09 2025 reduce to 95492236 relations and 91331714 ideals in 7 passes
  288. Sun Oct 12 12:50:09 2025 max relations containing the same ideal: 60
  289. Sun Oct 12 12:50:44 2025 relations with 0 large ideals: 273884
  290. Sun Oct 12 12:50:44 2025 relations with 1 large ideals: 149428
  291. Sun Oct 12 12:50:44 2025 relations with 2 large ideals: 1518192
  292. Sun Oct 12 12:50:44 2025 relations with 3 large ideals: 7012202
  293. Sun Oct 12 12:50:44 2025 relations with 4 large ideals: 17259149
  294. Sun Oct 12 12:50:44 2025 relations with 5 large ideals: 25200150
  295. Sun Oct 12 12:50:44 2025 relations with 6 large ideals: 22913635
  296. Sun Oct 12 12:50:44 2025 relations with 7+ large ideals: 21165596
  297. Sun Oct 12 12:50:44 2025 commencing 2-way merge
  298. Sun Oct 12 12:51:22 2025 reduce to 61721004 relation sets and 57560482 unique ideals
  299. Sun Oct 12 12:51:23 2025 commencing full merge
  300. Sun Oct 12 13:05:13 2025 memory use: 7374.6 MB
  301. Sun Oct 12 13:05:18 2025 found 29150887 cycles, need 28640682
  302. Sun Oct 12 13:05:26 2025 weight of 28640682 cycles is about 3150879443 (110.01/cycle)
  303. Sun Oct 12 13:05:26 2025 distribution of cycle lengths:
  304. Sun Oct 12 13:05:26 2025 1 relations: 1676846
  305. Sun Oct 12 13:05:26 2025 2 relations: 1943945
  306. Sun Oct 12 13:05:26 2025 3 relations: 2181604
  307. Sun Oct 12 13:05:26 2025 4 relations: 2232410
  308. Sun Oct 12 13:05:26 2025 5 relations: 2263686
  309. Sun Oct 12 13:05:26 2025 6 relations: 2245543
  310. Sun Oct 12 13:05:26 2025 7 relations: 2178862
  311. Sun Oct 12 13:05:26 2025 8 relations: 2078848
  312. Sun Oct 12 13:05:26 2025 9 relations: 1936671
  313. Sun Oct 12 13:05:26 2025 10+ relations: 9902267
  314. Sun Oct 12 13:05:26 2025 heaviest cycle: 26 relations
  315. Sun Oct 12 13:05:33 2025 commencing cycle optimization
  316. Sun Oct 12 13:06:20 2025 start with 227656797 relations
  317. Sun Oct 12 13:11:52 2025 pruned 8877245 relations
  318. Sun Oct 12 13:11:52 2025 memory use: 6277.4 MB
  319. Sun Oct 12 13:11:53 2025 distribution of cycle lengths:
  320. Sun Oct 12 13:11:53 2025 1 relations: 1676846
  321. Sun Oct 12 13:11:53 2025 2 relations: 1985758
  322. Sun Oct 12 13:11:53 2025 3 relations: 2265850
  323. Sun Oct 12 13:11:53 2025 4 relations: 2319058
  324. Sun Oct 12 13:11:53 2025 5 relations: 2371034
  325. Sun Oct 12 13:11:53 2025 6 relations: 2346035
  326. Sun Oct 12 13:11:53 2025 7 relations: 2283675
  327. Sun Oct 12 13:11:53 2025 8 relations: 2166906
  328. Sun Oct 12 13:11:53 2025 9 relations: 2014590
  329. Sun Oct 12 13:11:53 2025 10+ relations: 9210930
  330. Sun Oct 12 13:11:53 2025 heaviest cycle: 26 relations
  331. Sun Oct 12 13:12:43 2025 RelProcTime: 7262
  332. Sun Oct 12 13:12:43 2025 elapsed time 02:01:03
  333. Sun Oct 12 13:12:44 2025
  334. Sun Oct 12 13:12:44 2025
  335. Sun Oct 12 13:12:44 2025 Msieve v. 1.54 (SVN Unversioned directory)
  336. Sun Oct 12 13:12:44 2025 random seeds: c85f99e0 5070cc47
  337. Sun Oct 12 13:12:44 2025 MPI process 0 of 1
  338. Sun Oct 12 13:12:44 2025 Using 46 OpenMP threads
  339. Sun Oct 12 13:12:44 2025 factoring 46217767840477668319459292674137882639677734302914600042027776691510675466831330238724955775002812061679595300505226635541690885371527658193704847168419077395419936930530973597827478176743053655944594467 (203 digits)
  340. Sun Oct 12 13:12:45 2025 no P-1/P+1/ECM available, skipping
  341. Sun Oct 12 13:12:45 2025 commencing number field sieve (203-digit input)
  342. Sun Oct 12 13:12:45 2025 R0: 67762635780344027125465800054371356964111328125
  343. Sun Oct 12 13:12:45 2025 R1: -92709463147897837085761925410587
  344. Sun Oct 12 13:12:45 2025 A0: 1
  345. Sun Oct 12 13:12:45 2025 A1: -1
  346. Sun Oct 12 13:12:45 2025 A2: 1
  347. Sun Oct 12 13:12:45 2025 A3: -1
  348. Sun Oct 12 13:12:45 2025 A4: 1
  349. Sun Oct 12 13:12:45 2025 A5: -1
  350. Sun Oct 12 13:12:45 2025 A6: 1
  351. Sun Oct 12 13:12:45 2025 skew 1.00, size 8.102e-14, alpha 2.428, combined = 1.699e-14 rroots = 0
  352. Sun Oct 12 13:12:45 2025
  353. Sun Oct 12 13:12:45 2025 commencing linear algebra
  354. Sun Oct 12 13:12:45 2025 using VBITS=256
  355. Sun Oct 12 13:12:45 2025 stopping after matrix build
  356. Sun Oct 12 13:12:45 2025 initialized process (0,0) of 1 x 1 grid
  357. Sun Oct 12 13:12:47 2025 read 28640682 cycles
  358. Sun Oct 12 13:13:44 2025 cycles contain 93471482 unique relations
  359. Sun Oct 12 13:14:45 2025 read 93471482 relations
  360. Sun Oct 12 13:14:51 2025 using 20 quadratic characters above 4294917295
  361. Sun Oct 12 13:15:03 2025 building initial matrix
  362. Sun Oct 12 13:31:23 2025 memory use: 11878.5 MB
  363. Sun Oct 12 13:31:43 2025 read 28640682 cycles
  364. Sun Oct 12 13:31:46 2025 matrix is 28640502 x 28640682 (12572.5 MB) with weight 3564245664 (124.45/col)
  365. Sun Oct 12 13:31:46 2025 sparse part has weight 2980753228 (104.07/col)
  366. Sun Oct 12 13:36:24 2025 filtering completed in 2 passes
  367. Sun Oct 12 13:36:28 2025 matrix is 28637865 x 28638032 (12572.2 MB) with weight 3564152299 (124.46/col)
  368. Sun Oct 12 13:36:28 2025 sparse part has weight 2980711951 (104.08/col)
  369. Sun Oct 12 13:37:31 2025 BLanczosTime: 1486
  370. Sun Oct 12 13:37:31 2025 elapsed time 00:24:47
  371. Sun Oct 12 15:16:55 2025
  372. Sun Oct 12 15:16:55 2025
  373. Sun Oct 12 15:16:55 2025 Msieve v. 1.54 (SVN Unversioned directory)
  374. Sun Oct 12 15:16:55 2025 random seeds: 28e8e71f f0793c72
  375. Sun Oct 12 15:16:55 2025 MPI process 0 of 4
  376. Sun Oct 12 15:16:55 2025 Using 15 OpenMP threads
  377. Sun Oct 12 15:16:55 2025 factoring 46217767840477668319459292674137882639677734302914600042027776691510675466831330238724955775002812061679595300505226635541690885371527658193704847168419077395419936930530973597827478176743053655944594467 (203 digits)
  378. Sun Oct 12 15:16:55 2025 no P-1/P+1/ECM available, skipping
  379. Sun Oct 12 15:16:55 2025 commencing number field sieve (203-digit input)
  380. Sun Oct 12 15:16:55 2025 R0: 67762635780344027125465800054371356964111328125
  381. Sun Oct 12 15:16:55 2025 R1: -92709463147897837085761925410587
  382. Sun Oct 12 15:16:55 2025 A0: 1
  383. Sun Oct 12 15:16:55 2025 A1: -1
  384. Sun Oct 12 15:16:55 2025 A2: 1
  385. Sun Oct 12 15:16:55 2025 A3: -1
  386. Sun Oct 12 15:16:55 2025 A4: 1
  387. Sun Oct 12 15:16:55 2025 A5: -1
  388. Sun Oct 12 15:16:55 2025 A6: 1
  389. Sun Oct 12 15:16:55 2025 skew 1.00, size 8.102e-14, alpha 2.428, combined = 1.699e-14 rroots = 0
  390. Sun Oct 12 15:16:55 2025
  391. Sun Oct 12 15:16:56 2025 commencing linear algebra
  392. Sun Oct 12 15:16:56 2025 using VBITS=256
  393. Sun Oct 12 15:16:56 2025 skipping matrix build
  394. Sun Oct 12 15:16:56 2025 initialized process (0,0) of 2 x 2 grid
  395. Sun Oct 12 15:17:17 2025 matrix starts at (0, 0)
  396. Sun Oct 12 15:17:17 2025 matrix is 14319053 x 14319045 (3676.7 MB) with weight 1098024660 (76.68/col)
  397. Sun Oct 12 15:17:17 2025 sparse part has weight 806313869 (56.31/col)
  398. Sun Oct 12 15:17:17 2025 saving the first 240 matrix rows for later
  399. Sun Oct 12 15:17:20 2025 matrix includes 256 packed rows
  400. Sun Oct 12 15:17:22 2025 matrix is 14318813 x 14319045 (3293.7 MB) with weight 684582933 (47.81/col)
  401. Sun Oct 12 15:17:22 2025 sparse part has weight 634313284 (44.30/col)
  402. Sun Oct 12 15:17:22 2025 using GPU 0 (NVIDIA H200)
  403. Sun Oct 12 15:17:22 2025 selected card has CUDA arch 9.0
  404. Sun Oct 12 15:18:02 2025 commencing Lanczos iteration
  405. Sun Oct 12 15:18:02 2025 memory use: 7570.6 MB
  406. Sun Oct 12 15:18:10 2025 linear algebra at 0.1%, ETA 1h48m
  407. Sun Oct 12 15:18:19 2025 checking every 280000 dimensions, checkpointing every 17360000 dimensions
  408. Sun Oct 12 16:59:11 2025 lanczos halted after 112203 iterations (dim = 28637620)
  409. Sun Oct 12 17:01:06 2025 recovered 36 nontrivial dependencies
  410. Sun Oct 12 17:01:06 2025 BLanczosTime: 6251
  411. Sun Oct 12 17:01:06 2025 elapsed time 01:44:11
  412. Sun Oct 12 17:03:09 2025
  413. Sun Oct 12 17:03:09 2025
  414. Sun Oct 12 17:03:09 2025 Msieve v. 1.54 (SVN Unversioned directory)
  415. Sun Oct 12 17:03:09 2025 random seeds: 0c4b4f94 bb8020e7
  416. Sun Oct 12 17:03:09 2025 MPI process 0 of 1
  417. Sun Oct 12 17:03:09 2025 Using 32 OpenMP threads
  418. Sun Oct 12 17:03:09 2025 factoring 46217767840477668319459292674137882639677734302914600042027776691510675466831330238724955775002812061679595300505226635541690885371527658193704847168419077395419936930530973597827478176743053655944594467 (203 digits)
  419. Sun Oct 12 17:03:10 2025 no P-1/P+1/ECM available, skipping
  420. Sun Oct 12 17:03:10 2025 commencing number field sieve (203-digit input)
  421. Sun Oct 12 17:03:10 2025 R0: 67762635780344027125465800054371356964111328125
  422. Sun Oct 12 17:03:10 2025 R1: -92709463147897837085761925410587
  423. Sun Oct 12 17:03:10 2025 A0: 1
  424. Sun Oct 12 17:03:10 2025 A1: -1
  425. Sun Oct 12 17:03:10 2025 A2: 1
  426. Sun Oct 12 17:03:10 2025 A3: -1
  427. Sun Oct 12 17:03:10 2025 A4: 1
  428. Sun Oct 12 17:03:10 2025 A5: -1
  429. Sun Oct 12 17:03:10 2025 A6: 1
  430. Sun Oct 12 17:03:10 2025 skew 1.00, size 8.102e-14, alpha 2.428, combined = 1.699e-14 rroots = 0
  431. Sun Oct 12 17:03:10 2025
  432. Sun Oct 12 17:03:10 2025 commencing square root phase
  433. Sun Oct 12 17:03:10 2025 reading relations for dependency 1
  434. Sun Oct 12 17:03:13 2025 read 14316341 cycles
  435. Sun Oct 12 17:03:39 2025 cycles contain 46732784 unique relations
  436. Sun Oct 12 17:04:28 2025 read 46732784 relations
  437. Sun Oct 12 17:07:47 2025 multiplying 46732784 relations
  438. Sun Oct 12 17:10:01 2025 multiply complete, coefficients have about 1248.71 million bits
  439. Sun Oct 12 17:10:05 2025 initial square root is modulo 399409
  440. Sun Oct 12 17:16:29 2025 GCD is N, no factor found
  441. Sun Oct 12 17:16:29 2025 reading relations for dependency 2
  442. Sun Oct 12 17:16:32 2025 read 14319763 cycles
  443. Sun Oct 12 17:16:57 2025 cycles contain 46742046 unique relations
  444. Sun Oct 12 17:17:42 2025 read 46742046 relations
  445. Sun Oct 12 17:20:52 2025 multiplying 46742046 relations
  446. Sun Oct 12 17:23:06 2025 multiply complete, coefficients have about 1248.96 million bits
  447. Sun Oct 12 17:23:10 2025 initial square root is modulo 400417
  448. Sun Oct 12 17:29:33 2025 GCD is N, no factor found
  449. Sun Oct 12 17:29:33 2025 reading relations for dependency 3
  450. Sun Oct 12 17:29:35 2025 read 14317458 cycles
  451. Sun Oct 12 17:30:02 2025 cycles contain 46738068 unique relations
  452. Sun Oct 12 17:30:48 2025 read 46738068 relations
  453. Sun Oct 12 17:33:28 2025 multiplying 46738068 relations
  454. Sun Oct 12 17:35:43 2025 multiply complete, coefficients have about 1248.85 million bits
  455. Sun Oct 12 17:35:46 2025 initial square root is modulo 399983
  456. Sun Oct 12 17:42:22 2025 GCD is N, no factor found
  457. Sun Oct 12 17:42:22 2025 reading relations for dependency 4
  458. Sun Oct 12 17:42:25 2025 read 14319543 cycles
  459. Sun Oct 12 17:42:55 2025 cycles contain 46732772 unique relations
  460. Sun Oct 12 17:43:39 2025 read 46732772 relations
  461. Sun Oct 12 17:46:54 2025 multiplying 46732772 relations
  462. Sun Oct 12 17:49:10 2025 multiply complete, coefficients have about 1248.71 million bits
  463. Sun Oct 12 17:49:14 2025 initial square root is modulo 399409
  464. Sun Oct 12 17:55:39 2025 GCD is N, no factor found
  465. Sun Oct 12 17:55:39 2025 reading relations for dependency 5
  466. Sun Oct 12 17:55:42 2025 read 14320913 cycles
  467. Sun Oct 12 17:56:07 2025 cycles contain 46741620 unique relations
  468. Sun Oct 12 17:56:56 2025 read 46741620 relations
  469. Sun Oct 12 17:59:48 2025 multiplying 46741620 relations
  470. Sun Oct 12 18:02:02 2025 multiply complete, coefficients have about 1248.94 million bits
  471. Sun Oct 12 18:02:05 2025 initial square root is modulo 400391
  472. Sun Oct 12 18:08:33 2025 GCD is N, no factor found
  473. Sun Oct 12 18:08:33 2025 reading relations for dependency 6
  474. Sun Oct 12 18:08:35 2025 read 14319478 cycles
  475. Sun Oct 12 18:08:59 2025 cycles contain 46739314 unique relations
  476. Sun Oct 12 18:09:46 2025 read 46739314 relations
  477. Sun Oct 12 18:12:32 2025 multiplying 46739314 relations
  478. Sun Oct 12 18:14:45 2025 multiply complete, coefficients have about 1248.88 million bits
  479. Sun Oct 12 18:14:48 2025 initial square root is modulo 400067
  480. Sun Oct 12 18:21:16 2025 GCD is N, no factor found
  481. Sun Oct 12 18:21:16 2025 reading relations for dependency 7
  482. Sun Oct 12 18:21:18 2025 read 14322651 cycles
  483. Sun Oct 12 18:21:42 2025 cycles contain 46740598 unique relations
  484. Sun Oct 12 18:22:31 2025 read 46740598 relations
  485. Sun Oct 12 18:25:51 2025 multiplying 46740598 relations
  486. Sun Oct 12 18:28:06 2025 multiply complete, coefficients have about 1248.91 million bits
  487. Sun Oct 12 18:28:09 2025 initial square root is modulo 400207
  488. Sun Oct 12 18:34:34 2025 sqrtTime: 5484
  489. Sun Oct 12 18:34:34 2025 p71 factor: 35074730565314300260175101479320478319661542025658115421839306001176373
  490. Sun Oct 12 18:34:34 2025 p133 factor: 1317694166015427999061792088559133205092704150986071662294681698043617186118843662348329872137016987583631775634662970274506900857079
  491. Sun Oct 12 18:34:34 2025 elapsed time 01:31:25
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