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  1. Fri Nov 14 17:36:16 2025
  2. Fri Nov 14 17:36:16 2025
  3. Fri Nov 14 17:36:16 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Nov 14 17:36:16 2025 random seeds: bddc2f44 4d3138d3
  5. Fri Nov 14 17:36:16 2025 Using 8 OpenMP threads
  6. Fri Nov 14 17:36:16 2025 factoring 57498479782485448502422423079895221207563471461145078579536753515846664868472455139052894278841922434401902062876486286604509708188136092166669141968243573125860091663473142497372110209491718070610399428080861133801197 (218 digits)
  7. Fri Nov 14 17:36:17 2025 searching for 15-digit factors
  8. Fri Nov 14 17:36:17 2025 commencing number field sieve (218-digit input)
  9. Fri Nov 14 17:36:17 2025 R0: 496435896616053307896048395356781369253192362
  10. Fri Nov 14 17:36:17 2025 R1: -22280841470107301759731
  11. Fri Nov 14 17:36:17 2025 A0: -1
  12. Fri Nov 14 17:36:17 2025 A1: 3
  13. Fri Nov 14 17:36:17 2025 A2: 6
  14. Fri Nov 14 17:36:17 2025 A3: -4
  15. Fri Nov 14 17:36:17 2025 A4: -5
  16. Fri Nov 14 17:36:17 2025 A5: 1
  17. Fri Nov 14 17:36:17 2025 A6: 1
  18. Fri Nov 14 17:36:17 2025 skew 1.00, size 3.824e-13, alpha 3.126, combined = 5.434e-14 rroots = 6
  19. Fri Nov 14 17:36:17 2025
  20. Fri Nov 14 17:36:17 2025 commencing relation filtering
  21. Fri Nov 14 17:36:17 2025 estimated available RAM is 78540.1 MB
  22. Fri Nov 14 17:36:17 2025 commencing duplicate removal, pass 1
  23. Fri Nov 14 17:37:10 2025 error -1 reading relation 20418463
  24. Fri Nov 14 17:37:56 2025 error -1 reading relation 38894729
  25. Fri Nov 14 17:39:16 2025 error -1 reading relation 69451579
  26. Fri Nov 14 17:39:19 2025 error -1 reading relation 70623482
  27. Fri Nov 14 17:39:32 2025 error -1 reading relation 74457847
  28. Fri Nov 14 17:39:36 2025 error -1 reading relation 76118420
  29. Fri Nov 14 17:39:37 2025 error -5 reading relation 76677575
  30. Fri Nov 14 17:39:38 2025 error -11 reading relation 77013238
  31. Fri Nov 14 17:39:40 2025 error -1 reading relation 77755676
  32. Fri Nov 14 17:41:41 2025 error -1 reading relation 125922489
  33. Fri Nov 14 17:43:53 2025 error -1 reading relation 178477527
  34. Fri Nov 14 17:44:37 2025 error -1 reading relation 196228606
  35. Fri Nov 14 17:45:19 2025 error -1 reading relation 213919479
  36. Fri Nov 14 17:46:12 2025 error -1 reading relation 233814621
  37. Fri Nov 14 17:46:45 2025 error -1 reading relation 246356953
  38. Fri Nov 14 17:46:46 2025 error -1 reading relation 247234551
  39. Fri Nov 14 17:46:57 2025 error -11 reading relation 251894489
  40. Fri Nov 14 17:47:55 2025 error -15 reading relation 273747485
  41. Fri Nov 14 17:47:55 2025 error -15 reading relation 273763069
  42. Fri Nov 14 17:48:11 2025 error -6 reading relation 281021114
  43. Fri Nov 14 17:49:41 2025 error -1 reading relation 315172042
  44. Fri Nov 14 17:51:21 2025 error -1 reading relation 356215693
  45. Fri Nov 14 17:53:41 2025 error -5 reading relation 413697959
  46. Fri Nov 14 17:53:43 2025 error -1 reading relation 414602755
  47. Fri Nov 14 17:54:05 2025 error -1 reading relation 424935692
  48. Fri Nov 14 17:54:14 2025 error -1 reading relation 427404149
  49. Fri Nov 14 17:54:30 2025 error -15 reading relation 434566114
  50. Fri Nov 14 17:56:16 2025 error -1 reading relation 479006995
  51. Fri Nov 14 17:56:20 2025 error -1 reading relation 480903457
  52. Fri Nov 14 17:56:33 2025 error -1 reading relation 484908597
  53. Fri Nov 14 17:56:45 2025 error -1 reading relation 490135978
  54. Fri Nov 14 17:58:13 2025 error -1 reading relation 527378132
  55. Fri Nov 14 17:58:43 2025 error -1 reading relation 539265445
  56. Fri Nov 14 17:59:40 2025 error -1 reading relation 562987287
  57. Fri Nov 14 18:00:15 2025 error -1 reading relation 577526913
  58. Fri Nov 14 18:00:39 2025 error -1 reading relation 586815040
  59. Fri Nov 14 18:00:43 2025 error -1 reading relation 589047531
  60. Fri Nov 14 18:00:54 2025 error -1 reading relation 593922828
  61. Fri Nov 14 18:01:23 2025 error -1 reading relation 605838652
  62. Fri Nov 14 18:01:31 2025 error -1 reading relation 609343892
  63. Fri Nov 14 18:01:38 2025 error -1 reading relation 612475141
  64. Fri Nov 14 18:02:14 2025 error -1 reading relation 627584675
  65. Fri Nov 14 18:02:14 2025 error -15 reading relation 627823680
  66. Fri Nov 14 18:02:14 2025 error -11 reading relation 627823681
  67. Fri Nov 14 18:02:14 2025 error -1 reading relation 627868734
  68. Fri Nov 14 18:02:15 2025 error -15 reading relation 627893366
  69. Fri Nov 14 18:02:15 2025 error -11 reading relation 627893367
  70. Fri Nov 14 18:02:15 2025 error -1 reading relation 627944192
  71. Fri Nov 14 18:02:41 2025 error -1 reading relation 638251703
  72. Fri Nov 14 18:02:42 2025 error -1 reading relation 638916809
  73. Fri Nov 14 18:02:44 2025 error -1 reading relation 639364819
  74. Fri Nov 14 18:02:44 2025 error -1 reading relation 639713040
  75. Fri Nov 14 18:03:23 2025 error -1 reading relation 655626099
  76. Fri Nov 14 18:03:27 2025 error -1 reading relation 657623871
  77. Fri Nov 14 18:03:51 2025 error -1 reading relation 666694114
  78. Fri Nov 14 18:04:04 2025 error -1 reading relation 672912931
  79. Fri Nov 14 18:04:13 2025 error -1 reading relation 675499884
  80. Fri Nov 14 18:04:13 2025 error -1 reading relation 675543117
  81. Fri Nov 14 18:04:20 2025 error -5 reading relation 678595317
  82. Fri Nov 14 18:04:22 2025 skipped 3086 relations with b > 2^32
  83. Fri Nov 14 18:04:22 2025 skipped 645 malformed relations
  84. Fri Nov 14 18:04:22 2025 found 134758510 hash collisions in 679660166 relations
  85. Fri Nov 14 18:04:25 2025 added 2438358 free relations
  86. Fri Nov 14 18:04:25 2025 commencing duplicate removal, pass 2
  87. Fri Nov 14 18:12:30 2025 found 141440508 duplicates and 540658016 unique relations
  88. Fri Nov 14 18:12:30 2025 memory use: 3411.0 MB
  89. Fri Nov 14 18:12:30 2025 reading ideals above 292093952
  90. Fri Nov 14 18:12:30 2025 commencing singleton removal, initial pass
  91. Fri Nov 14 18:41:44 2025 memory use: 11024.0 MB
  92. Fri Nov 14 18:41:44 2025 reading all ideals from disk
  93. Fri Nov 14 18:42:02 2025 memory use: 13783.9 MB
  94. Fri Nov 14 18:42:26 2025 commencing in-memory singleton removal
  95. Fri Nov 14 18:42:31 2025 begin with 540658016 relations and 439757918 unique ideals
  96. Fri Nov 14 18:43:19 2025 reduce to 354874500 relations and 236006668 ideals in 14 passes
  97. Fri Nov 14 18:43:19 2025 max relations containing the same ideal: 30
  98. Fri Nov 14 18:43:30 2025 reading ideals above 720000
  99. Fri Nov 14 18:43:31 2025 commencing singleton removal, initial pass
  100. Fri Nov 14 19:15:15 2025 memory use: 6024.0 MB
  101. Fri Nov 14 19:15:16 2025 reading all ideals from disk
  102. Fri Nov 14 19:15:50 2025 memory use: 17611.7 MB
  103. Fri Nov 14 19:16:20 2025 keeping 265863501 ideals with weight <= 200, target excess is 1835933
  104. Fri Nov 14 19:17:02 2025 commencing in-memory singleton removal
  105. Fri Nov 14 19:17:08 2025 begin with 354874500 relations and 265863501 unique ideals
  106. Fri Nov 14 19:17:38 2025 reduce to 354873661 relations and 265862662 ideals in 6 passes
  107. Fri Nov 14 19:17:38 2025 max relations containing the same ideal: 200
  108. Fri Nov 14 19:20:01 2025 removing 12064068 relations and 10064068 ideals in 2000000 cliques
  109. Fri Nov 14 19:20:07 2025 commencing in-memory singleton removal
  110. Fri Nov 14 19:20:12 2025 begin with 342809593 relations and 265862662 unique ideals
  111. Fri Nov 14 19:20:46 2025 reduce to 342517112 relations and 255503903 ideals in 7 passes
  112. Fri Nov 14 19:20:46 2025 max relations containing the same ideal: 200
  113. Fri Nov 14 19:23:02 2025 removing 9198538 relations and 7198538 ideals in 2000000 cliques
  114. Fri Nov 14 19:23:08 2025 commencing in-memory singleton removal
  115. Fri Nov 14 19:23:13 2025 begin with 333318574 relations and 255503903 unique ideals
  116. Fri Nov 14 19:23:45 2025 reduce to 333125505 relations and 248111046 ideals in 7 passes
  117. Fri Nov 14 19:23:45 2025 max relations containing the same ideal: 200
  118. Fri Nov 14 19:25:56 2025 removing 8289030 relations and 6289030 ideals in 2000000 cliques
  119. Fri Nov 14 19:26:01 2025 commencing in-memory singleton removal
  120. Fri Nov 14 19:26:06 2025 begin with 324836475 relations and 248111046 unique ideals
  121. Fri Nov 14 19:26:38 2025 reduce to 324669824 relations and 241654290 ideals in 7 passes
  122. Fri Nov 14 19:26:38 2025 max relations containing the same ideal: 198
  123. Fri Nov 14 19:28:46 2025 removing 7766095 relations and 5766095 ideals in 2000000 cliques
  124. Fri Nov 14 19:28:52 2025 commencing in-memory singleton removal
  125. Fri Nov 14 19:28:57 2025 begin with 316903729 relations and 241654290 unique ideals
  126. Fri Nov 14 19:29:25 2025 reduce to 316751676 relations and 235735164 ideals in 6 passes
  127. Fri Nov 14 19:29:25 2025 max relations containing the same ideal: 195
  128. Fri Nov 14 19:31:32 2025 removing 7426543 relations and 5426543 ideals in 2000000 cliques
  129. Fri Nov 14 19:31:37 2025 commencing in-memory singleton removal
  130. Fri Nov 14 19:31:42 2025 begin with 309325133 relations and 235735164 unique ideals
  131. Fri Nov 14 19:32:12 2025 reduce to 309181325 relations and 230163822 ideals in 7 passes
  132. Fri Nov 14 19:32:12 2025 max relations containing the same ideal: 193
  133. Fri Nov 14 19:34:10 2025 removing 7178526 relations and 5178526 ideals in 2000000 cliques
  134. Fri Nov 14 19:34:15 2025 commencing in-memory singleton removal
  135. Fri Nov 14 19:34:20 2025 begin with 302002799 relations and 230163822 unique ideals
  136. Fri Nov 14 19:34:45 2025 reduce to 301866458 relations and 224848077 ideals in 6 passes
  137. Fri Nov 14 19:34:45 2025 max relations containing the same ideal: 191
  138. Fri Nov 14 19:36:47 2025 removing 6990735 relations and 4990735 ideals in 2000000 cliques
  139. Fri Nov 14 19:36:52 2025 commencing in-memory singleton removal
  140. Fri Nov 14 19:36:57 2025 begin with 294875723 relations and 224848077 unique ideals
  141. Fri Nov 14 19:37:19 2025 reduce to 294742955 relations and 219723624 ideals in 6 passes
  142. Fri Nov 14 19:37:19 2025 max relations containing the same ideal: 187
  143. Fri Nov 14 19:39:18 2025 removing 6839316 relations and 4839316 ideals in 2000000 cliques
  144. Fri Nov 14 19:39:23 2025 commencing in-memory singleton removal
  145. Fri Nov 14 19:39:27 2025 begin with 287903639 relations and 219723624 unique ideals
  146. Fri Nov 14 19:39:52 2025 reduce to 287774448 relations and 214754218 ideals in 6 passes
  147. Fri Nov 14 19:39:52 2025 max relations containing the same ideal: 187
  148. Fri Nov 14 19:41:47 2025 removing 6717949 relations and 4717949 ideals in 2000000 cliques
  149. Fri Nov 14 19:41:51 2025 commencing in-memory singleton removal
  150. Fri Nov 14 19:41:55 2025 begin with 281056499 relations and 214754218 unique ideals
  151. Fri Nov 14 19:42:20 2025 reduce to 280928806 relations and 209907628 ideals in 6 passes
  152. Fri Nov 14 19:42:20 2025 max relations containing the same ideal: 185
  153. Fri Nov 14 19:44:14 2025 removing 6621650 relations and 4621650 ideals in 2000000 cliques
  154. Fri Nov 14 19:44:19 2025 commencing in-memory singleton removal
  155. Fri Nov 14 19:44:26 2025 begin with 274307156 relations and 209907628 unique ideals
  156. Fri Nov 14 19:44:47 2025 reduce to 274180438 relations and 205158367 ideals in 6 passes
  157. Fri Nov 14 19:44:47 2025 max relations containing the same ideal: 185
  158. Fri Nov 14 19:46:35 2025 removing 6538440 relations and 4538440 ideals in 2000000 cliques
  159. Fri Nov 14 19:46:39 2025 commencing in-memory singleton removal
  160. Fri Nov 14 19:46:46 2025 begin with 267641998 relations and 205158367 unique ideals
  161. Fri Nov 14 19:47:07 2025 reduce to 267516281 relations and 200493270 ideals in 6 passes
  162. Fri Nov 14 19:47:07 2025 max relations containing the same ideal: 180
  163. Fri Nov 14 19:48:54 2025 removing 6464919 relations and 4464919 ideals in 2000000 cliques
  164. Fri Nov 14 19:48:59 2025 commencing in-memory singleton removal
  165. Fri Nov 14 19:49:02 2025 begin with 261051362 relations and 200493270 unique ideals
  166. Fri Nov 14 19:49:24 2025 reduce to 260924959 relations and 195900883 ideals in 6 passes
  167. Fri Nov 14 19:49:24 2025 max relations containing the same ideal: 177
  168. Fri Nov 14 19:51:08 2025 removing 6407722 relations and 4407722 ideals in 2000000 cliques
  169. Fri Nov 14 19:51:12 2025 commencing in-memory singleton removal
  170. Fri Nov 14 19:51:16 2025 begin with 254517237 relations and 195900883 unique ideals
  171. Fri Nov 14 19:51:37 2025 reduce to 254390660 relations and 191365543 ideals in 6 passes
  172. Fri Nov 14 19:51:37 2025 max relations containing the same ideal: 174
  173. Fri Nov 14 19:53:19 2025 removing 6354019 relations and 4354019 ideals in 2000000 cliques
  174. Fri Nov 14 19:53:23 2025 commencing in-memory singleton removal
  175. Fri Nov 14 19:53:27 2025 begin with 248036641 relations and 191365543 unique ideals
  176. Fri Nov 14 19:53:48 2025 reduce to 247909352 relations and 186883118 ideals in 6 passes
  177. Fri Nov 14 19:53:48 2025 max relations containing the same ideal: 172
  178. Fri Nov 14 19:55:27 2025 removing 6312369 relations and 4312369 ideals in 2000000 cliques
  179. Fri Nov 14 19:55:34 2025 commencing in-memory singleton removal
  180. Fri Nov 14 19:55:38 2025 begin with 241596983 relations and 186883118 unique ideals
  181. Fri Nov 14 19:55:56 2025 reduce to 241467620 relations and 182440192 ideals in 6 passes
  182. Fri Nov 14 19:55:56 2025 max relations containing the same ideal: 168
  183. Fri Nov 14 19:57:35 2025 removing 6271683 relations and 4271683 ideals in 2000000 cliques
  184. Fri Nov 14 19:57:39 2025 commencing in-memory singleton removal
  185. Fri Nov 14 19:57:43 2025 begin with 235195937 relations and 182440192 unique ideals
  186. Fri Nov 14 19:58:04 2025 reduce to 235065503 relations and 178036843 ideals in 6 passes
  187. Fri Nov 14 19:58:04 2025 max relations containing the same ideal: 165
  188. Fri Nov 14 19:59:42 2025 removing 6244576 relations and 4244576 ideals in 2000000 cliques
  189. Fri Nov 14 19:59:46 2025 commencing in-memory singleton removal
  190. Fri Nov 14 19:59:50 2025 begin with 228820927 relations and 178036843 unique ideals
  191. Fri Nov 14 20:00:09 2025 reduce to 228689456 relations and 173659496 ideals in 6 passes
  192. Fri Nov 14 20:00:09 2025 max relations containing the same ideal: 164
  193. Fri Nov 14 20:01:51 2025 removing 6216289 relations and 4216289 ideals in 2000000 cliques
  194. Fri Nov 14 20:01:55 2025 commencing in-memory singleton removal
  195. Fri Nov 14 20:02:01 2025 begin with 222473167 relations and 173659496 unique ideals
  196. Fri Nov 14 20:02:20 2025 reduce to 222340185 relations and 169308872 ideals in 6 passes
  197. Fri Nov 14 20:02:20 2025 max relations containing the same ideal: 160
  198. Fri Nov 14 20:03:58 2025 removing 6192720 relations and 4192720 ideals in 2000000 cliques
  199. Fri Nov 14 20:04:02 2025 commencing in-memory singleton removal
  200. Fri Nov 14 20:04:05 2025 begin with 216147465 relations and 169308872 unique ideals
  201. Fri Nov 14 20:04:26 2025 reduce to 216011253 relations and 164978479 ideals in 6 passes
  202. Fri Nov 14 20:04:26 2025 max relations containing the same ideal: 158
  203. Fri Nov 14 20:06:00 2025 removing 6172225 relations and 4172225 ideals in 2000000 cliques
  204. Fri Nov 14 20:06:06 2025 commencing in-memory singleton removal
  205. Fri Nov 14 20:06:10 2025 begin with 209839028 relations and 164978479 unique ideals
  206. Fri Nov 14 20:06:27 2025 reduce to 209699594 relations and 160665322 ideals in 6 passes
  207. Fri Nov 14 20:06:27 2025 max relations containing the same ideal: 156
  208. Fri Nov 14 20:08:09 2025 removing 6158822 relations and 4158822 ideals in 2000000 cliques
  209. Fri Nov 14 20:08:12 2025 commencing in-memory singleton removal
  210. Fri Nov 14 20:08:16 2025 begin with 203540772 relations and 160665322 unique ideals
  211. Fri Nov 14 20:08:35 2025 reduce to 203399324 relations and 156363526 ideals in 6 passes
  212. Fri Nov 14 20:08:35 2025 max relations containing the same ideal: 154
  213. Fri Nov 14 20:10:03 2025 removing 6145567 relations and 4145567 ideals in 2000000 cliques
  214. Fri Nov 14 20:10:07 2025 commencing in-memory singleton removal
  215. Fri Nov 14 20:10:12 2025 begin with 197253757 relations and 156363526 unique ideals
  216. Fri Nov 14 20:10:28 2025 reduce to 197109816 relations and 152072380 ideals in 6 passes
  217. Fri Nov 14 20:10:28 2025 max relations containing the same ideal: 152
  218. Fri Nov 14 20:12:00 2025 removing 6141134 relations and 4141134 ideals in 2000000 cliques
  219. Fri Nov 14 20:12:03 2025 commencing in-memory singleton removal
  220. Fri Nov 14 20:12:06 2025 begin with 190968682 relations and 152072380 unique ideals
  221. Fri Nov 14 20:12:21 2025 reduce to 190819835 relations and 147780713 ideals in 6 passes
  222. Fri Nov 14 20:12:21 2025 max relations containing the same ideal: 147
  223. Fri Nov 14 20:13:49 2025 removing 6134895 relations and 4134895 ideals in 2000000 cliques
  224. Fri Nov 14 20:13:53 2025 commencing in-memory singleton removal
  225. Fri Nov 14 20:13:55 2025 begin with 184684940 relations and 147780713 unique ideals
  226. Fri Nov 14 20:14:10 2025 reduce to 184532669 relations and 143491653 ideals in 6 passes
  227. Fri Nov 14 20:14:10 2025 max relations containing the same ideal: 146
  228. Fri Nov 14 20:15:33 2025 removing 6132378 relations and 4132378 ideals in 2000000 cliques
  229. Fri Nov 14 20:15:36 2025 commencing in-memory singleton removal
  230. Fri Nov 14 20:15:39 2025 begin with 178400291 relations and 143491653 unique ideals
  231. Fri Nov 14 20:15:53 2025 reduce to 178244149 relations and 139201224 ideals in 6 passes
  232. Fri Nov 14 20:15:53 2025 max relations containing the same ideal: 139
  233. Fri Nov 14 20:17:13 2025 removing 6138307 relations and 4138307 ideals in 2000000 cliques
  234. Fri Nov 14 20:17:16 2025 commencing in-memory singleton removal
  235. Fri Nov 14 20:17:19 2025 begin with 172105842 relations and 139201224 unique ideals
  236. Fri Nov 14 20:17:31 2025 reduce to 171944582 relations and 134899642 ideals in 6 passes
  237. Fri Nov 14 20:17:31 2025 max relations containing the same ideal: 137
  238. Fri Nov 14 20:18:47 2025 removing 6140779 relations and 4140779 ideals in 2000000 cliques
  239. Fri Nov 14 20:18:51 2025 commencing in-memory singleton removal
  240. Fri Nov 14 20:18:53 2025 begin with 165803803 relations and 134899642 unique ideals
  241. Fri Nov 14 20:19:09 2025 reduce to 165637314 relations and 130590139 ideals in 6 passes
  242. Fri Nov 14 20:19:09 2025 max relations containing the same ideal: 134
  243. Fri Nov 14 20:20:21 2025 removing 6148670 relations and 4148670 ideals in 2000000 cliques
  244. Fri Nov 14 20:20:24 2025 commencing in-memory singleton removal
  245. Fri Nov 14 20:20:26 2025 begin with 159488644 relations and 130590139 unique ideals
  246. Fri Nov 14 20:20:39 2025 reduce to 159316170 relations and 126266644 ideals in 6 passes
  247. Fri Nov 14 20:20:39 2025 max relations containing the same ideal: 132
  248. Fri Nov 14 20:21:48 2025 removing 6158550 relations and 4158550 ideals in 2000000 cliques
  249. Fri Nov 14 20:21:54 2025 commencing in-memory singleton removal
  250. Fri Nov 14 20:21:56 2025 begin with 153157620 relations and 126266644 unique ideals
  251. Fri Nov 14 20:22:08 2025 reduce to 152979060 relations and 121927083 ideals in 6 passes
  252. Fri Nov 14 20:22:08 2025 max relations containing the same ideal: 126
  253. Fri Nov 14 20:23:13 2025 removing 6170730 relations and 4170730 ideals in 2000000 cliques
  254. Fri Nov 14 20:23:16 2025 commencing in-memory singleton removal
  255. Fri Nov 14 20:23:19 2025 begin with 146808330 relations and 121927083 unique ideals
  256. Fri Nov 14 20:23:29 2025 reduce to 146623074 relations and 117568480 ideals in 6 passes
  257. Fri Nov 14 20:23:29 2025 max relations containing the same ideal: 123
  258. Fri Nov 14 20:24:33 2025 removing 6189890 relations and 4189890 ideals in 2000000 cliques
  259. Fri Nov 14 20:24:36 2025 commencing in-memory singleton removal
  260. Fri Nov 14 20:24:39 2025 begin with 140433184 relations and 117568480 unique ideals
  261. Fri Nov 14 20:24:51 2025 reduce to 140239951 relations and 113182572 ideals in 6 passes
  262. Fri Nov 14 20:24:51 2025 max relations containing the same ideal: 120
  263. Fri Nov 14 20:25:51 2025 removing 6209807 relations and 4209807 ideals in 2000000 cliques
  264. Fri Nov 14 20:25:54 2025 commencing in-memory singleton removal
  265. Fri Nov 14 20:25:56 2025 begin with 134030144 relations and 113182572 unique ideals
  266. Fri Nov 14 20:26:09 2025 reduce to 133829543 relations and 108769182 ideals in 6 passes
  267. Fri Nov 14 20:26:09 2025 max relations containing the same ideal: 118
  268. Fri Nov 14 20:27:05 2025 removing 6232617 relations and 4232617 ideals in 2000000 cliques
  269. Fri Nov 14 20:27:10 2025 commencing in-memory singleton removal
  270. Fri Nov 14 20:27:12 2025 begin with 127596926 relations and 108769182 unique ideals
  271. Fri Nov 14 20:27:21 2025 reduce to 127385460 relations and 104321790 ideals in 6 passes
  272. Fri Nov 14 20:27:21 2025 max relations containing the same ideal: 113
  273. Fri Nov 14 20:28:15 2025 removing 6262466 relations and 4262466 ideals in 2000000 cliques
  274. Fri Nov 14 20:28:21 2025 commencing in-memory singleton removal
  275. Fri Nov 14 20:28:22 2025 begin with 121122994 relations and 104321790 unique ideals
  276. Fri Nov 14 20:28:31 2025 reduce to 120901440 relations and 99834207 ideals in 6 passes
  277. Fri Nov 14 20:28:31 2025 max relations containing the same ideal: 109
  278. Fri Nov 14 20:29:23 2025 removing 6294005 relations and 4294005 ideals in 2000000 cliques
  279. Fri Nov 14 20:29:26 2025 commencing in-memory singleton removal
  280. Fri Nov 14 20:29:30 2025 begin with 114607435 relations and 99834207 unique ideals
  281. Fri Nov 14 20:29:38 2025 reduce to 114375508 relations and 95304501 ideals in 6 passes
  282. Fri Nov 14 20:29:38 2025 max relations containing the same ideal: 105
  283. Fri Nov 14 20:30:28 2025 removing 6329739 relations and 4329739 ideals in 2000000 cliques
  284. Fri Nov 14 20:30:30 2025 commencing in-memory singleton removal
  285. Fri Nov 14 20:30:32 2025 begin with 108045769 relations and 95304501 unique ideals
  286. Fri Nov 14 20:30:42 2025 reduce to 107800168 relations and 90724895 ideals in 6 passes
  287. Fri Nov 14 20:30:42 2025 max relations containing the same ideal: 100
  288. Fri Nov 14 20:31:26 2025 removing 6368783 relations and 4368783 ideals in 2000000 cliques
  289. Fri Nov 14 20:31:32 2025 commencing in-memory singleton removal
  290. Fri Nov 14 20:31:34 2025 begin with 101431385 relations and 90724895 unique ideals
  291. Fri Nov 14 20:31:44 2025 reduce to 101169077 relations and 86089024 ideals in 7 passes
  292. Fri Nov 14 20:31:44 2025 max relations containing the same ideal: 95
  293. Fri Nov 14 20:32:27 2025 removing 6412686 relations and 4412686 ideals in 2000000 cliques
  294. Fri Nov 14 20:32:29 2025 commencing in-memory singleton removal
  295. Fri Nov 14 20:32:30 2025 begin with 94756391 relations and 86089024 unique ideals
  296. Fri Nov 14 20:32:40 2025 reduce to 94477051 relations and 81391779 ideals in 6 passes
  297. Fri Nov 14 20:32:40 2025 max relations containing the same ideal: 90
  298. Fri Nov 14 20:33:22 2025 removing 6459127 relations and 4459127 ideals in 2000000 cliques
  299. Fri Nov 14 20:33:24 2025 commencing in-memory singleton removal
  300. Fri Nov 14 20:33:25 2025 begin with 88017924 relations and 81391779 unique ideals
  301. Fri Nov 14 20:33:32 2025 reduce to 87718046 relations and 76626970 ideals in 6 passes
  302. Fri Nov 14 20:33:32 2025 max relations containing the same ideal: 90
  303. Fri Nov 14 20:34:11 2025 removing 6512777 relations and 4512777 ideals in 2000000 cliques
  304. Fri Nov 14 20:34:13 2025 commencing in-memory singleton removal
  305. Fri Nov 14 20:34:14 2025 begin with 81205269 relations and 76626970 unique ideals
  306. Fri Nov 14 20:34:21 2025 reduce to 80880483 relations and 71782816 ideals in 7 passes
  307. Fri Nov 14 20:34:21 2025 max relations containing the same ideal: 83
  308. Fri Nov 14 20:35:00 2025 removing 6569815 relations and 4569815 ideals in 2000000 cliques
  309. Fri Nov 14 20:35:02 2025 commencing in-memory singleton removal
  310. Fri Nov 14 20:35:03 2025 begin with 74310668 relations and 71782816 unique ideals
  311. Fri Nov 14 20:35:10 2025 reduce to 73953062 relations and 66847535 ideals in 7 passes
  312. Fri Nov 14 20:35:10 2025 max relations containing the same ideal: 78
  313. Fri Nov 14 20:35:43 2025 removing 6634898 relations and 4634898 ideals in 2000000 cliques
  314. Fri Nov 14 20:35:45 2025 commencing in-memory singleton removal
  315. Fri Nov 14 20:35:46 2025 begin with 67318164 relations and 66847535 unique ideals
  316. Fri Nov 14 20:35:52 2025 reduce to 66921469 relations and 61806863 ideals in 8 passes
  317. Fri Nov 14 20:35:52 2025 max relations containing the same ideal: 73
  318. Fri Nov 14 20:36:23 2025 removing 6720689 relations and 4720689 ideals in 2000000 cliques
  319. Fri Nov 14 20:36:25 2025 commencing in-memory singleton removal
  320. Fri Nov 14 20:36:26 2025 begin with 60200780 relations and 61806863 unique ideals
  321. Fri Nov 14 20:36:31 2025 reduce to 59746518 relations and 56620474 ideals in 7 passes
  322. Fri Nov 14 20:36:31 2025 max relations containing the same ideal: 69
  323. Fri Nov 14 20:36:59 2025 removing 3841082 relations and 2844721 ideals in 996361 cliques
  324. Fri Nov 14 20:37:01 2025 commencing in-memory singleton removal
  325. Fri Nov 14 20:37:02 2025 begin with 55905436 relations and 56620474 unique ideals
  326. Fri Nov 14 20:37:07 2025 reduce to 55735904 relations and 53603849 ideals in 9 passes
  327. Fri Nov 14 20:37:07 2025 max relations containing the same ideal: 66
  328. Fri Nov 14 20:37:38 2025 relations with 0 large ideals: 135900
  329. Fri Nov 14 20:37:38 2025 relations with 1 large ideals: 58390
  330. Fri Nov 14 20:37:38 2025 relations with 2 large ideals: 539124
  331. Fri Nov 14 20:37:38 2025 relations with 3 large ideals: 2863245
  332. Fri Nov 14 20:37:38 2025 relations with 4 large ideals: 8117477
  333. Fri Nov 14 20:37:38 2025 relations with 5 large ideals: 13619861
  334. Fri Nov 14 20:37:38 2025 relations with 6 large ideals: 14238079
  335. Fri Nov 14 20:37:38 2025 relations with 7+ large ideals: 16163828
  336. Fri Nov 14 20:37:38 2025 commencing 2-way merge
  337. Fri Nov 14 20:38:17 2025 reduce to 36401421 relation sets and 34269366 unique ideals
  338. Fri Nov 14 20:38:17 2025 commencing full merge
  339. Fri Nov 14 20:49:59 2025 memory use: 4509.7 MB
  340. Fri Nov 14 20:50:02 2025 found 18488144 cycles, need 18199566
  341. Fri Nov 14 20:50:06 2025 weight of 18199566 cycles is about 1638139093 (90.01/cycle)
  342. Fri Nov 14 20:50:06 2025 distribution of cycle lengths:
  343. Fri Nov 14 20:50:06 2025 1 relations: 1355657
  344. Fri Nov 14 20:50:06 2025 2 relations: 1587199
  345. Fri Nov 14 20:50:06 2025 3 relations: 1727600
  346. Fri Nov 14 20:50:06 2025 4 relations: 1731724
  347. Fri Nov 14 20:50:06 2025 5 relations: 1741034
  348. Fri Nov 14 20:50:06 2025 6 relations: 1677525
  349. Fri Nov 14 20:50:06 2025 7 relations: 1572665
  350. Fri Nov 14 20:50:06 2025 8 relations: 1415102
  351. Fri Nov 14 20:50:06 2025 9 relations: 1234511
  352. Fri Nov 14 20:50:06 2025 10+ relations: 4156549
  353. Fri Nov 14 20:50:06 2025 heaviest cycle: 22 relations
  354. Fri Nov 14 20:50:10 2025 commencing cycle optimization
  355. Fri Nov 14 20:50:44 2025 start with 120057795 relations
  356. Fri Nov 14 20:53:38 2025 pruned 4116449 relations
  357. Fri Nov 14 20:53:39 2025 memory use: 3545.9 MB
  358. Fri Nov 14 20:53:39 2025 distribution of cycle lengths:
  359. Fri Nov 14 20:53:39 2025 1 relations: 1355657
  360. Fri Nov 14 20:53:39 2025 2 relations: 1617980
  361. Fri Nov 14 20:53:39 2025 3 relations: 1789651
  362. Fri Nov 14 20:53:39 2025 4 relations: 1792907
  363. Fri Nov 14 20:53:39 2025 5 relations: 1817351
  364. Fri Nov 14 20:53:39 2025 6 relations: 1744996
  365. Fri Nov 14 20:53:39 2025 7 relations: 1637508
  366. Fri Nov 14 20:53:39 2025 8 relations: 1458854
  367. Fri Nov 14 20:53:39 2025 9 relations: 1258537
  368. Fri Nov 14 20:53:39 2025 10+ relations: 3726125
  369. Fri Nov 14 20:53:39 2025 heaviest cycle: 22 relations
  370. Fri Nov 14 20:54:02 2025 RelProcTime: 11865
  371. Fri Nov 14 20:54:02 2025 elapsed time 03:17:46
  372. Fri Nov 14 20:54:45 2025
  373. Fri Nov 14 20:54:45 2025
  374. Fri Nov 14 20:54:45 2025 Msieve v. 1.54 (SVN Unversioned directory)
  375. Fri Nov 14 20:54:45 2025 random seeds: 79b60295 1b5e2427
  376. Fri Nov 14 20:54:45 2025 Using 8 OpenMP threads
  377. Fri Nov 14 20:54:45 2025 factoring 57498479782485448502422423079895221207563471461145078579536753515846664868472455139052894278841922434401902062876486286604509708188136092166669141968243573125860091663473142497372110209491718070610399428080861133801197 (218 digits)
  378. Fri Nov 14 20:54:45 2025 searching for 15-digit factors
  379. Fri Nov 14 20:54:45 2025 commencing number field sieve (218-digit input)
  380. Fri Nov 14 20:54:45 2025 R0: 496435896616053307896048395356781369253192362
  381. Fri Nov 14 20:54:45 2025 R1: -22280841470107301759731
  382. Fri Nov 14 20:54:45 2025 A0: -1
  383. Fri Nov 14 20:54:45 2025 A1: 3
  384. Fri Nov 14 20:54:45 2025 A2: 6
  385. Fri Nov 14 20:54:45 2025 A3: -4
  386. Fri Nov 14 20:54:45 2025 A4: -5
  387. Fri Nov 14 20:54:45 2025 A5: 1
  388. Fri Nov 14 20:54:45 2025 A6: 1
  389. Fri Nov 14 20:54:45 2025 skew 1.00, size 3.824e-13, alpha 3.126, combined = 5.434e-14 rroots = 6
  390. Fri Nov 14 20:54:45 2025
  391. Fri Nov 14 20:54:45 2025 commencing linear algebra
  392. Fri Nov 14 20:54:45 2025 using VBITS=256
  393. Fri Nov 14 20:54:45 2025 stopping after matrix build
  394. Fri Nov 14 20:54:46 2025 read 18199566 cycles
  395. Fri Nov 14 20:55:07 2025 cycles contain 54701829 unique relations
  396. Fri Nov 14 20:58:08 2025 read 54701829 relations
  397. Fri Nov 14 20:58:28 2025 using 20 quadratic characters above 4294917295
  398. Fri Nov 14 20:58:49 2025 building initial matrix
  399. Fri Nov 14 21:07:06 2025 memory use: 6795.1 MB
  400. Fri Nov 14 21:07:15 2025 read 18199566 cycles
  401. Fri Nov 14 21:07:17 2025 matrix is 18199383 x 18199566 (6665.5 MB) with weight 1899020120 (104.34/col)
  402. Fri Nov 14 21:07:17 2025 sparse part has weight 1565323826 (86.01/col)
  403. Fri Nov 14 21:09:16 2025 filtering completed in 2 passes
  404. Fri Nov 14 21:09:19 2025 matrix is 18197291 x 18197458 (6665.3 MB) with weight 1898953223 (104.35/col)
  405. Fri Nov 14 21:09:19 2025 sparse part has weight 1565293858 (86.02/col)
  406. Fri Nov 14 21:10:04 2025 BLanczosTime: 919
  407. Fri Nov 14 21:10:04 2025 elapsed time 00:15:19
  408. Fri Nov 14 22:06:23 2025
  409. Fri Nov 14 22:06:23 2025
  410. Fri Nov 14 22:06:23 2025 Msieve v. 1.54 (SVN unknown)
  411. Fri Nov 14 22:06:23 2025 random seeds: 7a738382 511558e7
  412. Fri Nov 14 22:06:23 2025 Using 4 OpenMP threads
  413. Fri Nov 14 22:06:23 2025 factoring 57498479782485448502422423079895221207563471461145078579536753515846664868472455139052894278841922434401902062876486286604509708188136092166669141968243573125860091663473142497372110209491718070610399428080861133801197 (218 digits)
  414. Fri Nov 14 22:06:24 2025 no P-1/P+1/ECM available, skipping
  415. Fri Nov 14 22:06:24 2025 commencing number field sieve (218-digit input)
  416. Fri Nov 14 22:06:24 2025 R0: 496435896616053307896048395356781369253192362
  417. Fri Nov 14 22:06:24 2025 R1: -22280841470107301759731
  418. Fri Nov 14 22:06:24 2025 A0: -1
  419. Fri Nov 14 22:06:24 2025 A1: 3
  420. Fri Nov 14 22:06:24 2025 A2: 6
  421. Fri Nov 14 22:06:24 2025 A3: -4
  422. Fri Nov 14 22:06:24 2025 A4: -5
  423. Fri Nov 14 22:06:24 2025 A5: 1
  424. Fri Nov 14 22:06:24 2025 A6: 1
  425. Fri Nov 14 22:06:24 2025 skew 1.00, size 3.824e-13, alpha 3.126, combined = 5.434e-14 rroots = 6
  426. Fri Nov 14 22:06:24 2025
  427. Fri Nov 14 22:06:24 2025 commencing linear algebra
  428. Fri Nov 14 22:06:24 2025 using VBITS=64
  429. Fri Nov 14 22:06:24 2025 skipping matrix build
  430. Fri Nov 14 22:06:36 2025 matrix starts at (0, 0)
  431. Fri Nov 14 22:06:39 2025 matrix is 18197291 x 18197458 (6665.3 MB) with weight 1898953223 (104.35/col)
  432. Fri Nov 14 22:06:39 2025 sparse part has weight 1565293858 (86.02/col)
  433. Fri Nov 14 22:06:39 2025 saving the first 48 matrix rows for later
  434. Fri Nov 14 22:06:42 2025 matrix includes 64 packed rows
  435. Fri Nov 14 22:06:45 2025 matrix is 18197243 x 18197458 (6417.8 MB) with weight 1594068979 (87.60/col)
  436. Fri Nov 14 22:06:45 2025 sparse part has weight 1500422635 (82.45/col)
  437. Fri Nov 14 22:06:46 2025 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  438. Fri Nov 14 22:06:46 2025 selected card has CUDA arch 12.0
  439. Fri Nov 14 22:23:02 2025 commencing Lanczos iteration
  440. Fri Nov 14 22:23:04 2025 memory use: 12696.8 MB
  441. Fri Nov 14 22:25:44 2025 checking every 10000 dimensions, checkpointing every 440000 dimensions
  442. Fri Nov 14 22:27:15 2025 linear algebra at 0.2%, ETA 41h32m
  443. Sun Nov 16 15:53:39 2025 lanczos halted after 287775 iterations (dim = 18197239)
  444. Sun Nov 16 15:53:55 2025 recovered 34 nontrivial dependencies
  445. Sun Nov 16 15:53:57 2025 BLanczosTime: 150453
  446. Sun Nov 16 15:53:57 2025 elapsed time 41:47:34
  447. Sun Nov 16 16:03:59 2025
  448. Sun Nov 16 16:03:59 2025
  449. Sun Nov 16 16:03:59 2025 Msieve v. 1.54 (SVN unknown)
  450. Sun Nov 16 16:03:59 2025 random seeds: 028d11fb 96977788
  451. Sun Nov 16 16:03:59 2025 Using 4 OpenMP threads
  452. Sun Nov 16 16:03:59 2025 factoring 57498479782485448502422423079895221207563471461145078579536753515846664868472455139052894278841922434401902062876486286604509708188136092166669141968243573125860091663473142497372110209491718070610399428080861133801197 (218 digits)
  453. Sun Nov 16 16:04:00 2025 no P-1/P+1/ECM available, skipping
  454. Sun Nov 16 16:04:00 2025 commencing number field sieve (218-digit input)
  455. Sun Nov 16 16:04:00 2025 R0: 496435896616053307896048395356781369253192362
  456. Sun Nov 16 16:04:00 2025 R1: -22280841470107301759731
  457. Sun Nov 16 16:04:00 2025 A0: -1
  458. Sun Nov 16 16:04:00 2025 A1: 3
  459. Sun Nov 16 16:04:00 2025 A2: 6
  460. Sun Nov 16 16:04:00 2025 A3: -4
  461. Sun Nov 16 16:04:00 2025 A4: -5
  462. Sun Nov 16 16:04:00 2025 A5: 1
  463. Sun Nov 16 16:04:00 2025 A6: 1
  464. Sun Nov 16 16:04:00 2025 skew 1.00, size 3.824e-13, alpha 3.126, combined = 5.434e-14 rroots = 6
  465. Sun Nov 16 16:04:00 2025
  466. Sun Nov 16 16:04:00 2025 commencing square root phase
  467. Sun Nov 16 16:04:00 2025 reading relations for dependency 1
  468. Sun Nov 16 16:04:03 2025 read 9096599 cycles
  469. Sun Nov 16 16:04:21 2025 cycles contain 27348142 unique relations
  470. Sun Nov 16 16:16:15 2025 read 27348142 relations
  471. Sun Nov 16 16:19:50 2025 multiplying 27348142 relations
  472. Sun Nov 16 16:28:05 2025 multiply complete, coefficients have about 717.27 million bits
  473. Sun Nov 16 16:28:10 2025 initial square root is modulo 2722831
  474. Sun Nov 16 16:39:22 2025 sqrtTime: 2122
  475. Sun Nov 16 16:39:22 2025 p105 factor: 164410725284830967126091934208320942417839427914924224436164419828765594763777348478381941018982278381021
  476. Sun Nov 16 16:39:22 2025 p114 factor: 349724628261769689336322667010490253611678976412378929561446290453966959943550514291345254284914502769388090623057
  477. Sun Nov 16 16:39:22 2025 elapsed time 00:35:23
  478.  
Tags: math
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