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12821_67m1 msieve.log

kyleaskine
Sep 5th, 2026
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  1. Fri Sep 4 15:56:12 2026
  2. Fri Sep 4 15:56:12 2026
  3. Fri Sep 4 15:56:12 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Sep 4 15:56:12 2026 random seeds: 48443fb9 497f3627
  5. Fri Sep 4 15:56:12 2026 Using 8 OpenMP threads
  6. Fri Sep 4 15:56:12 2026 factoring 21885197334110275216614611654262966211848875201552244095581814364088483314680091713542107014753220533555766500808435214098103231772059023087293698453643675359574523953922516280332982648905482213310234693619821055804703485843694301175574133158048922792249862217 (260 digits)
  7. Fri Sep 4 15:56:12 2026 no P-1/P+1/ECM available, skipping
  8. Fri Sep 4 15:56:12 2026 commencing number field sieve (260-digit input)
  9. Fri Sep 4 15:56:12 2026 R0: 1
  10. Fri Sep 4 15:56:12 2026 R1: -1538653758553740329372251996974056176818443021
  11. Fri Sep 4 15:56:12 2026 A0: -12821
  12. Fri Sep 4 15:56:12 2026 A1: 0
  13. Fri Sep 4 15:56:12 2026 A2: 0
  14. Fri Sep 4 15:56:12 2026 A3: 0
  15. Fri Sep 4 15:56:12 2026 A4: 0
  16. Fri Sep 4 15:56:12 2026 A5: 0
  17. Fri Sep 4 15:56:12 2026 A6: 1
  18. Fri Sep 4 15:56:12 2026 skew 3.73, size 6.255e-14, alpha 2.026, combined = 1.502e-14 rroots = 2
  19. Fri Sep 4 15:56:12 2026
  20. Fri Sep 4 15:56:12 2026 commencing relation filtering
  21. Fri Sep 4 15:56:12 2026 setting 4 target densities:Fri Sep 4 15:56:12 2026 70Fri Sep 4 15:56:12 2026 80Fri Sep 4 15:56:12 2026 90Fri Sep 4 15:56:12 2026 130Fri Sep 4 15:56:12 2026
  22. Fri Sep 4 15:56:12 2026 estimated available RAM is 78540.1 MB
  23. Fri Sep 4 15:56:12 2026 commencing duplicate removal, pass 1
  24. Fri Sep 4 16:04:36 2026 error -1 reading relation 612717405
  25. Fri Sep 4 16:04:36 2026 error -1 reading relation 613197136
  26. Fri Sep 4 16:04:37 2026 error -1 reading relation 614166760
  27. Fri Sep 4 16:04:37 2026 error -1 reading relation 614416944
  28. Fri Sep 4 16:04:37 2026 error -1 reading relation 614416945
  29. Fri Sep 4 16:04:37 2026 error -1 reading relation 614528447
  30. Fri Sep 4 16:04:37 2026 error -1 reading relation 614528448
  31. Fri Sep 4 16:04:38 2026 error -1 reading relation 614924930
  32. Fri Sep 4 16:04:38 2026 error -1 reading relation 614924931
  33. Fri Sep 4 16:04:38 2026 error -1 reading relation 615150174
  34. Fri Sep 4 16:04:38 2026 error -1 reading relation 615411735
  35. Fri Sep 4 16:04:38 2026 error -1 reading relation 615820426
  36. Fri Sep 4 16:04:39 2026 error -1 reading relation 616681075
  37. Fri Sep 4 16:04:39 2026 error -1 reading relation 616791859
  38. Fri Sep 4 16:04:39 2026 error -1 reading relation 616903395
  39. Fri Sep 4 16:04:42 2026 error -1 reading relation 619932704
  40. Fri Sep 4 16:05:25 2026 error -1 reading relation 671772092
  41. Fri Sep 4 16:05:25 2026 error -1 reading relation 671772093
  42. Fri Sep 4 16:05:25 2026 error -1 reading relation 671772094
  43. Fri Sep 4 16:05:25 2026 error -1 reading relation 672046151
  44. Fri Sep 4 16:05:31 2026 error -1 reading relation 679862976
  45. Fri Sep 4 16:05:32 2026 error -1 reading relation 680247821
  46. Fri Sep 4 16:05:32 2026 error -1 reading relation 681029124
  47. Fri Sep 4 16:05:33 2026 error -1 reading relation 681427859
  48. Fri Sep 4 16:05:35 2026 error -1 reading relation 684771181
  49. Fri Sep 4 16:05:40 2026 error -1 reading relation 690450750
  50. Fri Sep 4 16:05:42 2026 error -1 reading relation 694004827
  51. Fri Sep 4 16:05:49 2026 skipped 1924 relations with b > 2^32
  52. Fri Sep 4 16:05:49 2026 found 152547513 hash collisions in 702085905 relations
  53. Fri Sep 4 16:05:54 2026 added 1219767 free relations
  54. Fri Sep 4 16:05:54 2026 commencing duplicate removal, pass 2
  55. Fri Sep 4 16:10:51 2026 found 166546397 duplicates and 536759275 unique relations
  56. Fri Sep 4 16:10:51 2026 memory use: 5286.0 MB
  57. Fri Sep 4 16:10:51 2026 reading ideals above 554893312
  58. Fri Sep 4 16:10:51 2026 commencing singleton removal, initial pass
  59. Fri Sep 4 16:23:04 2026 memory use: 11024.0 MB
  60. Fri Sep 4 16:23:04 2026 reading all ideals from disk
  61. Fri Sep 4 16:23:08 2026 memory use: 13092.4 MB
  62. Fri Sep 4 16:23:21 2026 commencing in-memory singleton removal
  63. Fri Sep 4 16:23:24 2026 begin with 536759275 relations and 434179298 unique ideals
  64. Fri Sep 4 16:23:50 2026 reduce to 353628621 relations and 233706872 ideals in 15 passes
  65. Fri Sep 4 16:23:50 2026 max relations containing the same ideal: 32
  66. Fri Sep 4 16:24:01 2026 reading ideals above 720000
  67. Fri Sep 4 16:24:01 2026 commencing singleton removal, initial pass
  68. Fri Sep 4 16:42:59 2026 memory use: 6024.0 MB
  69. Fri Sep 4 16:42:59 2026 reading all ideals from disk
  70. Fri Sep 4 16:43:09 2026 memory use: 18083.0 MB
  71. Fri Sep 4 16:43:27 2026 keeping 290031313 ideals with weight <= 200, target excess is 1850007
  72. Fri Sep 4 16:43:53 2026 commencing in-memory singleton removal
  73. Fri Sep 4 16:43:58 2026 begin with 353628621 relations and 290031313 unique ideals
  74. Fri Sep 4 16:44:24 2026 reduce to 353574312 relations and 289977001 ideals in 9 passes
  75. Fri Sep 4 16:44:24 2026 max relations containing the same ideal: 200
  76. Fri Sep 4 16:45:48 2026 removing 13951980 relations and 11951980 ideals in 2000000 cliques
  77. Fri Sep 4 16:45:53 2026 commencing in-memory singleton removal
  78. Fri Sep 4 16:45:58 2026 begin with 339622332 relations and 289977001 unique ideals
  79. Fri Sep 4 16:46:20 2026 reduce to 339207162 relations and 277606540 ideals in 8 passes
  80. Fri Sep 4 16:46:20 2026 max relations containing the same ideal: 200
  81. Fri Sep 4 16:47:42 2026 removing 10558926 relations and 8558926 ideals in 2000000 cliques
  82. Fri Sep 4 16:47:47 2026 commencing in-memory singleton removal
  83. Fri Sep 4 16:47:52 2026 begin with 328648236 relations and 277606540 unique ideals
  84. Fri Sep 4 16:48:11 2026 reduce to 328385772 relations and 268783428 ideals in 7 passes
  85. Fri Sep 4 16:48:11 2026 max relations containing the same ideal: 198
  86. Fri Sep 4 16:49:29 2026 removing 9482126 relations and 7482126 ideals in 2000000 cliques
  87. Fri Sep 4 16:49:33 2026 commencing in-memory singleton removal
  88. Fri Sep 4 16:49:37 2026 begin with 318903646 relations and 268783428 unique ideals
  89. Fri Sep 4 16:49:57 2026 reduce to 318680614 relations and 261076812 ideals in 7 passes
  90. Fri Sep 4 16:49:57 2026 max relations containing the same ideal: 197
  91. Fri Sep 4 16:51:16 2026 removing 8880386 relations and 6880386 ideals in 2000000 cliques
  92. Fri Sep 4 16:51:21 2026 commencing in-memory singleton removal
  93. Fri Sep 4 16:51:25 2026 begin with 309800228 relations and 261076812 unique ideals
  94. Fri Sep 4 16:51:45 2026 reduce to 309596840 relations and 253991737 ideals in 7 passes
  95. Fri Sep 4 16:51:45 2026 max relations containing the same ideal: 193
  96. Fri Sep 4 16:53:02 2026 removing 8473294 relations and 6473294 ideals in 2000000 cliques
  97. Fri Sep 4 16:53:06 2026 commencing in-memory singleton removal
  98. Fri Sep 4 16:53:10 2026 begin with 301123546 relations and 253991737 unique ideals
  99. Fri Sep 4 16:53:28 2026 reduce to 300932899 relations and 247326619 ideals in 7 passes
  100. Fri Sep 4 16:53:28 2026 max relations containing the same ideal: 191
  101. Fri Sep 4 16:54:39 2026 removing 8181513 relations and 6181513 ideals in 2000000 cliques
  102. Fri Sep 4 16:54:43 2026 commencing in-memory singleton removal
  103. Fri Sep 4 16:54:47 2026 begin with 292751386 relations and 247326619 unique ideals
  104. Fri Sep 4 16:55:04 2026 reduce to 292567947 relations and 240960485 ideals in 7 passes
  105. Fri Sep 4 16:55:04 2026 max relations containing the same ideal: 188
  106. Fri Sep 4 16:56:12 2026 removing 7957973 relations and 5957973 ideals in 2000000 cliques
  107. Fri Sep 4 16:56:16 2026 commencing in-memory singleton removal
  108. Fri Sep 4 16:56:20 2026 begin with 284609974 relations and 240960485 unique ideals
  109. Fri Sep 4 16:56:36 2026 reduce to 284432701 relations and 234824091 ideals in 7 passes
  110. Fri Sep 4 16:56:36 2026 max relations containing the same ideal: 185
  111. Fri Sep 4 16:57:43 2026 removing 7777713 relations and 5777713 ideals in 2000000 cliques
  112. Fri Sep 4 16:57:47 2026 commencing in-memory singleton removal
  113. Fri Sep 4 16:57:50 2026 begin with 276654988 relations and 234824091 unique ideals
  114. Fri Sep 4 16:58:04 2026 reduce to 276481099 relations and 228871340 ideals in 6 passes
  115. Fri Sep 4 16:58:04 2026 max relations containing the same ideal: 180
  116. Fri Sep 4 16:59:09 2026 removing 7640729 relations and 5640729 ideals in 2000000 cliques
  117. Fri Sep 4 16:59:13 2026 commencing in-memory singleton removal
  118. Fri Sep 4 16:59:16 2026 begin with 268840370 relations and 228871340 unique ideals
  119. Fri Sep 4 16:59:30 2026 reduce to 268669124 relations and 223058140 ideals in 6 passes
  120. Fri Sep 4 16:59:30 2026 max relations containing the same ideal: 177
  121. Fri Sep 4 17:00:33 2026 removing 7524186 relations and 5524186 ideals in 2000000 cliques
  122. Fri Sep 4 17:00:37 2026 commencing in-memory singleton removal
  123. Fri Sep 4 17:00:40 2026 begin with 261144938 relations and 223058140 unique ideals
  124. Fri Sep 4 17:00:53 2026 reduce to 260973820 relations and 217361669 ideals in 6 passes
  125. Fri Sep 4 17:00:53 2026 max relations containing the same ideal: 176
  126. Fri Sep 4 17:01:54 2026 removing 7432359 relations and 5432359 ideals in 2000000 cliques
  127. Fri Sep 4 17:01:58 2026 commencing in-memory singleton removal
  128. Fri Sep 4 17:02:01 2026 begin with 253541461 relations and 217361669 unique ideals
  129. Fri Sep 4 17:02:14 2026 reduce to 253371040 relations and 211757648 ideals in 6 passes
  130. Fri Sep 4 17:02:14 2026 max relations containing the same ideal: 171
  131. Fri Sep 4 17:03:14 2026 removing 7356727 relations and 5356727 ideals in 2000000 cliques
  132. Fri Sep 4 17:03:17 2026 commencing in-memory singleton removal
  133. Fri Sep 4 17:03:20 2026 begin with 246014313 relations and 211757648 unique ideals
  134. Fri Sep 4 17:03:32 2026 reduce to 245843832 relations and 206229129 ideals in 6 passes
  135. Fri Sep 4 17:03:32 2026 max relations containing the same ideal: 167
  136. Fri Sep 4 17:04:31 2026 removing 7291432 relations and 5291432 ideals in 2000000 cliques
  137. Fri Sep 4 17:04:34 2026 commencing in-memory singleton removal
  138. Fri Sep 4 17:04:38 2026 begin with 238552400 relations and 206229129 unique ideals
  139. Fri Sep 4 17:04:49 2026 reduce to 238379400 relations and 200763344 ideals in 6 passes
  140. Fri Sep 4 17:04:49 2026 max relations containing the same ideal: 165
  141. Fri Sep 4 17:05:46 2026 removing 7236810 relations and 5236810 ideals in 2000000 cliques
  142. Fri Sep 4 17:05:49 2026 commencing in-memory singleton removal
  143. Fri Sep 4 17:05:52 2026 begin with 231142590 relations and 200763344 unique ideals
  144. Fri Sep 4 17:06:03 2026 reduce to 230968535 relations and 195351084 ideals in 6 passes
  145. Fri Sep 4 17:06:03 2026 max relations containing the same ideal: 161
  146. Fri Sep 4 17:06:59 2026 removing 7192691 relations and 5192691 ideals in 2000000 cliques
  147. Fri Sep 4 17:07:01 2026 commencing in-memory singleton removal
  148. Fri Sep 4 17:07:04 2026 begin with 223775844 relations and 195351084 unique ideals
  149. Fri Sep 4 17:07:15 2026 reduce to 223600271 relations and 189981405 ideals in 6 passes
  150. Fri Sep 4 17:07:15 2026 max relations containing the same ideal: 158
  151. Fri Sep 4 17:08:09 2026 removing 7150252 relations and 5150252 ideals in 2000000 cliques
  152. Fri Sep 4 17:08:12 2026 commencing in-memory singleton removal
  153. Fri Sep 4 17:08:15 2026 begin with 216450019 relations and 189981405 unique ideals
  154. Fri Sep 4 17:08:26 2026 reduce to 216270032 relations and 184649603 ideals in 6 passes
  155. Fri Sep 4 17:08:26 2026 max relations containing the same ideal: 155
  156. Fri Sep 4 17:09:17 2026 removing 7125831 relations and 5125831 ideals in 2000000 cliques
  157. Fri Sep 4 17:09:21 2026 commencing in-memory singleton removal
  158. Fri Sep 4 17:09:23 2026 begin with 209144201 relations and 184649603 unique ideals
  159. Fri Sep 4 17:09:35 2026 reduce to 208961618 relations and 179339529 ideals in 7 passes
  160. Fri Sep 4 17:09:35 2026 max relations containing the same ideal: 153
  161. Fri Sep 4 17:10:27 2026 removing 7099327 relations and 5099327 ideals in 2000000 cliques
  162. Fri Sep 4 17:10:30 2026 commencing in-memory singleton removal
  163. Fri Sep 4 17:10:32 2026 begin with 201862291 relations and 179339529 unique ideals
  164. Fri Sep 4 17:10:42 2026 reduce to 201676722 relations and 174052990 ideals in 6 passes
  165. Fri Sep 4 17:10:42 2026 max relations containing the same ideal: 149
  166. Fri Sep 4 17:11:31 2026 removing 7082459 relations and 5082459 ideals in 2000000 cliques
  167. Fri Sep 4 17:11:34 2026 commencing in-memory singleton removal
  168. Fri Sep 4 17:11:37 2026 begin with 194594263 relations and 174052990 unique ideals
  169. Fri Sep 4 17:11:47 2026 reduce to 194404097 relations and 168778507 ideals in 7 passes
  170. Fri Sep 4 17:11:47 2026 max relations containing the same ideal: 145
  171. Fri Sep 4 17:12:36 2026 removing 7066878 relations and 5066878 ideals in 2000000 cliques
  172. Fri Sep 4 17:12:39 2026 commencing in-memory singleton removal
  173. Fri Sep 4 17:12:41 2026 begin with 187337219 relations and 168778507 unique ideals
  174. Fri Sep 4 17:12:50 2026 reduce to 187144741 relations and 163517228 ideals in 6 passes
  175. Fri Sep 4 17:12:50 2026 max relations containing the same ideal: 141
  176. Fri Sep 4 17:13:36 2026 removing 7061955 relations and 5061955 ideals in 2000000 cliques
  177. Fri Sep 4 17:13:39 2026 commencing in-memory singleton removal
  178. Fri Sep 4 17:13:41 2026 begin with 180082786 relations and 163517228 unique ideals
  179. Fri Sep 4 17:13:51 2026 reduce to 179883455 relations and 158253858 ideals in 7 passes
  180. Fri Sep 4 17:13:51 2026 max relations containing the same ideal: 139
  181. Fri Sep 4 17:14:35 2026 removing 7060137 relations and 5060137 ideals in 2000000 cliques
  182. Fri Sep 4 17:14:38 2026 commencing in-memory singleton removal
  183. Fri Sep 4 17:14:41 2026 begin with 172823318 relations and 158253858 unique ideals
  184. Fri Sep 4 17:14:50 2026 reduce to 172615907 relations and 152984212 ideals in 7 passes
  185. Fri Sep 4 17:14:50 2026 max relations containing the same ideal: 136
  186. Fri Sep 4 17:15:34 2026 removing 7059528 relations and 5059528 ideals in 2000000 cliques
  187. Fri Sep 4 17:15:37 2026 commencing in-memory singleton removal
  188. Fri Sep 4 17:15:39 2026 begin with 165556379 relations and 152984212 unique ideals
  189. Fri Sep 4 17:15:47 2026 reduce to 165341198 relations and 147707235 ideals in 6 passes
  190. Fri Sep 4 17:15:47 2026 max relations containing the same ideal: 132
  191. Fri Sep 4 17:16:28 2026 removing 7061174 relations and 5061174 ideals in 2000000 cliques
  192. Fri Sep 4 17:16:30 2026 commencing in-memory singleton removal
  193. Fri Sep 4 17:16:33 2026 begin with 158280024 relations and 147707235 unique ideals
  194. Fri Sep 4 17:16:42 2026 reduce to 158057197 relations and 142420714 ideals in 7 passes
  195. Fri Sep 4 17:16:42 2026 max relations containing the same ideal: 126
  196. Fri Sep 4 17:17:23 2026 removing 7075045 relations and 5075045 ideals in 2000000 cliques
  197. Fri Sep 4 17:17:26 2026 commencing in-memory singleton removal
  198. Fri Sep 4 17:17:28 2026 begin with 150982152 relations and 142420714 unique ideals
  199. Fri Sep 4 17:17:37 2026 reduce to 150749120 relations and 137109933 ideals in 7 passes
  200. Fri Sep 4 17:17:37 2026 max relations containing the same ideal: 125
  201. Fri Sep 4 17:18:18 2026 removing 7101547 relations and 5101547 ideals in 2000000 cliques
  202. Fri Sep 4 17:18:21 2026 commencing in-memory singleton removal
  203. Fri Sep 4 17:18:23 2026 begin with 143647573 relations and 137109933 unique ideals
  204. Fri Sep 4 17:18:30 2026 reduce to 143403767 relations and 131761550 ideals in 6 passes
  205. Fri Sep 4 17:18:30 2026 max relations containing the same ideal: 122
  206. Fri Sep 4 17:19:09 2026 removing 7122231 relations and 5122231 ideals in 2000000 cliques
  207. Fri Sep 4 17:19:12 2026 commencing in-memory singleton removal
  208. Fri Sep 4 17:19:14 2026 begin with 136281536 relations and 131761550 unique ideals
  209. Fri Sep 4 17:19:22 2026 reduce to 136024062 relations and 126378633 ideals in 7 passes
  210. Fri Sep 4 17:19:22 2026 max relations containing the same ideal: 115
  211. Fri Sep 4 17:20:00 2026 removing 7154200 relations and 5154200 ideals in 2000000 cliques
  212. Fri Sep 4 17:20:02 2026 commencing in-memory singleton removal
  213. Fri Sep 4 17:20:04 2026 begin with 128869862 relations and 126378633 unique ideals
  214. Fri Sep 4 17:20:12 2026 reduce to 128595651 relations and 120946704 ideals in 7 passes
  215. Fri Sep 4 17:20:12 2026 max relations containing the same ideal: 111
  216. Fri Sep 4 17:20:48 2026 removing 7195089 relations and 5195089 ideals in 2000000 cliques
  217. Fri Sep 4 17:20:50 2026 commencing in-memory singleton removal
  218. Fri Sep 4 17:20:52 2026 begin with 121400562 relations and 120946704 unique ideals
  219. Fri Sep 4 17:20:59 2026 reduce to 121106645 relations and 115453575 ideals in 7 passes
  220. Fri Sep 4 17:20:59 2026 max relations containing the same ideal: 105
  221. Fri Sep 4 17:21:34 2026 removing 7254035 relations and 5254035 ideals in 2000000 cliques
  222. Fri Sep 4 17:21:36 2026 commencing in-memory singleton removal
  223. Fri Sep 4 17:21:38 2026 begin with 113852610 relations and 115453575 unique ideals
  224. Fri Sep 4 17:21:44 2026 reduce to 113533262 relations and 109875728 ideals in 7 passes
  225. Fri Sep 4 17:21:44 2026 max relations containing the same ideal: 101
  226. Fri Sep 4 17:22:16 2026 removing 5800507 relations and 4288982 ideals in 1511525 cliques
  227. Fri Sep 4 17:22:18 2026 commencing in-memory singleton removal
  228. Fri Sep 4 17:22:18 2026 begin with 107732755 relations and 109875728 unique ideals
  229. Fri Sep 4 17:22:25 2026 reduce to 107513887 relations and 105365300 ideals in 7 passes
  230. Fri Sep 4 17:22:25 2026 max relations containing the same ideal: 96
  231. Fri Sep 4 17:22:57 2026 trying target density 70
  232. Fri Sep 4 17:23:05 2026 relations with 0 large ideals: 70154
  233. Fri Sep 4 17:23:05 2026 relations with 1 large ideals: 23475
  234. Fri Sep 4 17:23:05 2026 relations with 2 large ideals: 340399
  235. Fri Sep 4 17:23:05 2026 relations with 3 large ideals: 2321114
  236. Fri Sep 4 17:23:05 2026 relations with 4 large ideals: 8669082
  237. Fri Sep 4 17:23:05 2026 relations with 5 large ideals: 19575441
  238. Fri Sep 4 17:23:05 2026 relations with 6 large ideals: 27951512
  239. Fri Sep 4 17:23:05 2026 relations with 7+ large ideals: 48562710
  240. Fri Sep 4 17:23:05 2026 commencing 2-way merge
  241. Fri Sep 4 17:23:53 2026 reduce to 71957730 relation sets and 69809143 unique ideals
  242. Fri Sep 4 17:23:53 2026 commencing full merge
  243. Fri Sep 4 17:36:11 2026 memory use: 8330.6 MB
  244. Fri Sep 4 17:36:18 2026 found 39589500 cycles, need 39291343
  245. Fri Sep 4 17:36:28 2026 weight of 39291343 cycles is about 2750631029 (70.01/cycle)
  246. Fri Sep 4 17:36:28 2026 distribution of cycle lengths:
  247. Fri Sep 4 17:36:28 2026 1 relations: 4728411
  248. Fri Sep 4 17:36:28 2026 2 relations: 5096574
  249. Fri Sep 4 17:36:28 2026 3 relations: 5274808
  250. Fri Sep 4 17:36:28 2026 4 relations: 4966121
  251. Fri Sep 4 17:36:28 2026 5 relations: 4506659
  252. Fri Sep 4 17:36:28 2026 6 relations: 3934585
  253. Fri Sep 4 17:36:28 2026 7 relations: 3255787
  254. Fri Sep 4 17:36:28 2026 8 relations: 2518992
  255. Fri Sep 4 17:36:28 2026 9 relations: 1837194
  256. Fri Sep 4 17:36:28 2026 10+ relations: 3172212
  257. Fri Sep 4 17:36:28 2026 heaviest cycle: 17 relations
  258. Fri Sep 4 17:36:35 2026 commencing cycle optimization
  259. Fri Sep 4 17:37:25 2026 start with 191604197 relations
  260. Fri Sep 4 17:40:41 2026 pruned 4493384 relations
  261. Fri Sep 4 17:40:44 2026 memory use: 6433.0 MB
  262. Fri Sep 4 17:40:44 2026 distribution of cycle lengths:
  263. Fri Sep 4 17:40:44 2026 1 relations: 4728411
  264. Fri Sep 4 17:40:44 2026 2 relations: 5199703
  265. Fri Sep 4 17:40:44 2026 3 relations: 5460384
  266. Fri Sep 4 17:40:44 2026 4 relations: 5091743
  267. Fri Sep 4 17:40:44 2026 5 relations: 4631064
  268. Fri Sep 4 17:40:44 2026 6 relations: 3992880
  269. Fri Sep 4 17:40:44 2026 7 relations: 3270684
  270. Fri Sep 4 17:40:44 2026 8 relations: 2470145
  271. Fri Sep 4 17:40:44 2026 9 relations: 1755222
  272. Fri Sep 4 17:40:44 2026 10+ relations: 2691107
  273. Fri Sep 4 17:40:44 2026 heaviest cycle: 17 relations
  274. Fri Sep 4 17:41:34 2026 trying target density 80
  275. Fri Sep 4 17:41:42 2026 relations with 0 large ideals: 70154
  276. Fri Sep 4 17:41:42 2026 relations with 1 large ideals: 23475
  277. Fri Sep 4 17:41:42 2026 relations with 2 large ideals: 340399
  278. Fri Sep 4 17:41:42 2026 relations with 3 large ideals: 2321114
  279. Fri Sep 4 17:41:42 2026 relations with 4 large ideals: 8669082
  280. Fri Sep 4 17:41:42 2026 relations with 5 large ideals: 19575441
  281. Fri Sep 4 17:41:42 2026 relations with 6 large ideals: 27951512
  282. Fri Sep 4 17:41:42 2026 relations with 7+ large ideals: 48562710
  283. Fri Sep 4 17:41:42 2026 commencing 2-way merge
  284. Fri Sep 4 17:42:24 2026 reduce to 71957730 relation sets and 69809143 unique ideals
  285. Fri Sep 4 17:42:25 2026 commencing full merge
  286. Fri Sep 4 17:56:13 2026 memory use: 8495.6 MB
  287. Fri Sep 4 17:56:18 2026 found 37666429 cycles, need 37369343
  288. Fri Sep 4 17:56:28 2026 weight of 37369343 cycles is about 2989760323 (80.01/cycle)
  289. Fri Sep 4 17:56:28 2026 distribution of cycle lengths:
  290. Fri Sep 4 17:56:28 2026 1 relations: 3592645
  291. Fri Sep 4 17:56:28 2026 2 relations: 4179028
  292. Fri Sep 4 17:56:28 2026 3 relations: 4393254
  293. Fri Sep 4 17:56:28 2026 4 relations: 4228028
  294. Fri Sep 4 17:56:28 2026 5 relations: 4045300
  295. Fri Sep 4 17:56:28 2026 6 relations: 3646200
  296. Fri Sep 4 17:56:28 2026 7 relations: 3218248
  297. Fri Sep 4 17:56:28 2026 8 relations: 2698295
  298. Fri Sep 4 17:56:28 2026 9 relations: 2171294
  299. Fri Sep 4 17:56:28 2026 10+ relations: 5197051
  300. Fri Sep 4 17:56:28 2026 heaviest cycle: 20 relations
  301. Fri Sep 4 17:56:35 2026 commencing cycle optimization
  302. Fri Sep 4 17:57:22 2026 start with 208568292 relations
  303. Fri Sep 4 18:01:22 2026 pruned 5855396 relations
  304. Fri Sep 4 18:01:23 2026 memory use: 6624.9 MB
  305. Fri Sep 4 18:01:23 2026 distribution of cycle lengths:
  306. Fri Sep 4 18:01:23 2026 1 relations: 3592645
  307. Fri Sep 4 18:01:23 2026 2 relations: 4268885
  308. Fri Sep 4 18:01:23 2026 3 relations: 4561737
  309. Fri Sep 4 18:01:23 2026 4 relations: 4359408
  310. Fri Sep 4 18:01:23 2026 5 relations: 4180908
  311. Fri Sep 4 18:01:23 2026 6 relations: 3737355
  312. Fri Sep 4 18:01:23 2026 7 relations: 3280958
  313. Fri Sep 4 18:01:23 2026 8 relations: 2703329
  314. Fri Sep 4 18:01:23 2026 9 relations: 2135206
  315. Fri Sep 4 18:01:23 2026 10+ relations: 4548912
  316. Fri Sep 4 18:01:23 2026 heaviest cycle: 20 relations
  317. Fri Sep 4 18:02:09 2026 trying target density 90
  318. Fri Sep 4 18:02:18 2026 relations with 0 large ideals: 70154
  319. Fri Sep 4 18:02:18 2026 relations with 1 large ideals: 23475
  320. Fri Sep 4 18:02:18 2026 relations with 2 large ideals: 340399
  321. Fri Sep 4 18:02:18 2026 relations with 3 large ideals: 2321114
  322. Fri Sep 4 18:02:18 2026 relations with 4 large ideals: 8669082
  323. Fri Sep 4 18:02:18 2026 relations with 5 large ideals: 19575441
  324. Fri Sep 4 18:02:18 2026 relations with 6 large ideals: 27951512
  325. Fri Sep 4 18:02:18 2026 relations with 7+ large ideals: 48562710
  326. Fri Sep 4 18:02:18 2026 commencing 2-way merge
  327. Fri Sep 4 18:03:09 2026 reduce to 71957730 relation sets and 69809143 unique ideals
  328. Fri Sep 4 18:03:09 2026 commencing full merge
  329. Fri Sep 4 18:18:42 2026 memory use: 8655.4 MB
  330. Fri Sep 4 18:18:48 2026 found 36138356 cycles, need 35845343
  331. Fri Sep 4 18:18:57 2026 weight of 35845343 cycles is about 3226092972 (90.00/cycle)
  332. Fri Sep 4 18:18:57 2026 distribution of cycle lengths:
  333. Fri Sep 4 18:18:57 2026 1 relations: 2786911
  334. Fri Sep 4 18:18:57 2026 2 relations: 3413305
  335. Fri Sep 4 18:18:57 2026 3 relations: 3725024
  336. Fri Sep 4 18:18:57 2026 4 relations: 3714446
  337. Fri Sep 4 18:18:57 2026 5 relations: 3574253
  338. Fri Sep 4 18:18:57 2026 6 relations: 3379029
  339. Fri Sep 4 18:18:57 2026 7 relations: 3079025
  340. Fri Sep 4 18:18:57 2026 8 relations: 2705552
  341. Fri Sep 4 18:18:57 2026 9 relations: 2299853
  342. Fri Sep 4 18:18:57 2026 10+ relations: 7167945
  343. Fri Sep 4 18:18:57 2026 heaviest cycle: 22 relations
  344. Fri Sep 4 18:19:03 2026 commencing cycle optimization
  345. Fri Sep 4 18:19:54 2026 start with 225289523 relations
  346. Fri Sep 4 18:24:37 2026 pruned 7321258 relations
  347. Fri Sep 4 18:24:39 2026 memory use: 6805.9 MB
  348. Fri Sep 4 18:24:39 2026 distribution of cycle lengths:
  349. Fri Sep 4 18:24:39 2026 1 relations: 2786911
  350. Fri Sep 4 18:24:40 2026 2 relations: 3492304
  351. Fri Sep 4 18:24:40 2026 3 relations: 3877617
  352. Fri Sep 4 18:24:40 2026 4 relations: 3843177
  353. Fri Sep 4 18:24:40 2026 5 relations: 3718539
  354. Fri Sep 4 18:24:40 2026 6 relations: 3486581
  355. Fri Sep 4 18:24:40 2026 7 relations: 3171854
  356. Fri Sep 4 18:24:40 2026 8 relations: 2750381
  357. Fri Sep 4 18:24:40 2026 9 relations: 2308114
  358. Fri Sep 4 18:24:40 2026 10+ relations: 6409865
  359. Fri Sep 4 18:24:40 2026 heaviest cycle: 22 relations
  360. Fri Sep 4 18:25:27 2026 trying target density 130
  361. Fri Sep 4 18:25:36 2026 relations with 0 large ideals: 70154
  362. Fri Sep 4 18:25:36 2026 relations with 1 large ideals: 23475
  363. Fri Sep 4 18:25:36 2026 relations with 2 large ideals: 340399
  364. Fri Sep 4 18:25:36 2026 relations with 3 large ideals: 2321114
  365. Fri Sep 4 18:25:36 2026 relations with 4 large ideals: 8669082
  366. Fri Sep 4 18:25:36 2026 relations with 5 large ideals: 19575441
  367. Fri Sep 4 18:25:36 2026 relations with 6 large ideals: 27951512
  368. Fri Sep 4 18:25:36 2026 relations with 7+ large ideals: 48562710
  369. Fri Sep 4 18:25:36 2026 commencing 2-way merge
  370. Fri Sep 4 18:26:27 2026 reduce to 71957730 relation sets and 69809143 unique ideals
  371. Fri Sep 4 18:26:27 2026 commencing full merge
  372. Fri Sep 4 18:48:49 2026 memory use: 9137.5 MB
  373. Fri Sep 4 18:48:54 2026 found 31934666 cycles, need 31839343
  374. Fri Sep 4 18:49:02 2026 weight of 31839343 cycles is about 4139439894 (130.01/cycle)
  375. Fri Sep 4 18:49:02 2026 distribution of cycle lengths:
  376. Fri Sep 4 18:49:02 2026 1 relations: 1245112
  377. Fri Sep 4 18:49:02 2026 2 relations: 1818795
  378. Fri Sep 4 18:49:02 2026 3 relations: 2167667
  379. Fri Sep 4 18:49:02 2026 4 relations: 2253575
  380. Fri Sep 4 18:49:02 2026 5 relations: 2316640
  381. Fri Sep 4 18:49:02 2026 6 relations: 2298532
  382. Fri Sep 4 18:49:02 2026 7 relations: 2267100
  383. Fri Sep 4 18:49:02 2026 8 relations: 2177997
  384. Fri Sep 4 18:49:02 2026 9 relations: 2067023
  385. Fri Sep 4 18:49:02 2026 10+ relations: 13226902
  386. Fri Sep 4 18:49:02 2026 heaviest cycle: 28 relations
  387. Fri Sep 4 18:49:08 2026 commencing cycle optimization
  388. Fri Sep 4 18:50:08 2026 start with 288560764 relations
  389. Fri Sep 4 18:59:20 2026 pruned 13638271 relations
  390. Fri Sep 4 18:59:20 2026 memory use: 7446.7 MB
  391. Fri Sep 4 18:59:20 2026 distribution of cycle lengths:
  392. Fri Sep 4 18:59:20 2026 1 relations: 1245112
  393. Fri Sep 4 18:59:20 2026 2 relations: 1866581
  394. Fri Sep 4 18:59:20 2026 3 relations: 2263703
  395. Fri Sep 4 18:59:20 2026 4 relations: 2352540
  396. Fri Sep 4 18:59:20 2026 5 relations: 2437480
  397. Fri Sep 4 18:59:20 2026 6 relations: 2415389
  398. Fri Sep 4 18:59:20 2026 7 relations: 2389837
  399. Fri Sep 4 18:59:20 2026 8 relations: 2286680
  400. Fri Sep 4 18:59:20 2026 9 relations: 2166844
  401. Fri Sep 4 18:59:20 2026 10+ relations: 12415177
  402. Fri Sep 4 18:59:20 2026 heaviest cycle: 28 relations
  403. Fri Sep 4 19:00:10 2026 RelProcTime: 11038
  404. Fri Sep 4 19:00:10 2026
  405. Fri Sep 4 19:00:10 2026 commencing linear algebra
  406. Fri Sep 4 19:00:10 2026 using VBITS=256
  407. Fri Sep 4 19:00:10 2026 building matrices for all densities
  408. Fri Sep 4 19:00:10 2026 found 4 density files
  409. Fri Sep 4 19:00:10 2026 building matrix for density 70
  410. Fri Sep 4 19:00:24 2026 read 39291343 cycles
  411. Fri Sep 4 19:01:11 2026 cycles contain 106384995 unique relations
  412. Fri Sep 4 19:13:16 2026 read 106384995 relations
  413. Fri Sep 4 19:13:45 2026 using 20 quadratic characters above 4294917295
  414. Fri Sep 4 19:14:20 2026 building initial matrix
  415. Fri Sep 4 19:27:24 2026 memory use: 13675.6 MB
  416. Fri Sep 4 19:27:37 2026 read 39291343 cycles
  417. Fri Sep 4 19:27:41 2026 matrix is 39291166 x 39291343 (11835.8 MB) with weight 3387427305 (86.21/col)
  418. Fri Sep 4 19:27:41 2026 sparse part has weight 2670466301 (67.97/col)
  419. Fri Sep 4 19:31:22 2026 filtering completed in 2 passes
  420. Fri Sep 4 19:31:27 2026 matrix is 39284028 x 39284199 (11835.3 MB) with weight 3387267984 (86.22/col)
  421. Fri Sep 4 19:31:27 2026 sparse part has weight 2670426313 (67.98/col)
  422. Fri Sep 4 19:32:46 2026 building matrix for density 80
  423. Fri Sep 4 19:32:48 2026 read 37369343 cycles
  424. Fri Sep 4 19:33:30 2026 cycles contain 106411294 unique relations
  425. Fri Sep 4 19:37:40 2026 read 106411294 relations
  426. Fri Sep 4 19:38:12 2026 using 20 quadratic characters above 4294917295
  427. Fri Sep 4 19:38:53 2026 building initial matrix
  428. Fri Sep 4 19:54:02 2026 memory use: 13679.3 MB
  429. Fri Sep 4 19:54:11 2026 read 37369343 cycles
  430. Fri Sep 4 19:54:15 2026 matrix is 37369166 x 37369343 (12556.1 MB) with weight 3584029770 (95.91/col)
  431. Fri Sep 4 19:54:15 2026 sparse part has weight 2880449731 (77.08/col)
  432. Fri Sep 4 19:58:35 2026 filtering completed in 2 passes
  433. Fri Sep 4 19:58:41 2026 matrix is 37364604 x 37364774 (12555.8 MB) with weight 3583918542 (95.92/col)
  434. Fri Sep 4 19:58:41 2026 sparse part has weight 2880418667 (77.09/col)
  435. Fri Sep 4 19:59:59 2026 building matrix for density 90
  436. Fri Sep 4 20:00:02 2026 read 35845343 cycles
  437. Fri Sep 4 20:00:43 2026 cycles contain 106425965 unique relations
  438. Fri Sep 4 20:04:37 2026 read 106425965 relations
  439. Fri Sep 4 20:05:08 2026 using 20 quadratic characters above 4294917295
  440. Fri Sep 4 20:05:42 2026 building initial matrix
  441. Fri Sep 4 20:22:05 2026 memory use: 13692.5 MB
  442. Fri Sep 4 20:22:14 2026 read 35845343 cycles
  443. Fri Sep 4 20:22:17 2026 matrix is 35845166 x 35845343 (13274.3 MB) with weight 3779447319 (105.44/col)
  444. Fri Sep 4 20:22:17 2026 sparse part has weight 3085478460 (86.08/col)
  445. Fri Sep 4 20:27:10 2026 filtering completed in 2 passes
  446. Fri Sep 4 20:27:17 2026 matrix is 35842125 x 35842295 (13274.1 MB) with weight 3779365655 (105.44/col)
  447. Fri Sep 4 20:27:17 2026 sparse part has weight 3085452350 (86.08/col)
  448. Fri Sep 4 20:28:42 2026 building matrix for density 130
  449. Fri Sep 4 20:28:45 2026 read 31839343 cycles
  450. Fri Sep 4 20:29:34 2026 cycles contain 106448351 unique relations
  451. Fri Sep 4 20:33:55 2026 read 106448351 relations
  452. Fri Sep 4 20:34:36 2026 using 20 quadratic characters above 4294917295
  453. Fri Sep 4 20:35:18 2026 building initial matrix
  454. Fri Sep 4 20:57:24 2026 memory use: 13790.0 MB
  455. Fri Sep 4 20:57:43 2026 read 31839343 cycles
  456. Fri Sep 4 20:57:47 2026 matrix is 31839166 x 31839343 (16035.5 MB) with weight 4525715950 (142.14/col)
  457. Fri Sep 4 20:57:47 2026 sparse part has weight 3853381553 (121.03/col)
  458. Fri Sep 4 21:04:03 2026 filtering completed in 2 passes
  459. Fri Sep 4 21:04:10 2026 matrix is 31838809 x 31838980 (16035.5 MB) with weight 4525705374 (142.14/col)
  460. Fri Sep 4 21:04:10 2026 sparse part has weight 3853378427 (121.03/col)
  461. Fri Sep 4 21:05:42 2026 BLanczosTime: 7532
  462. Fri Sep 4 21:05:42 2026 elapsed time 05:09:30
  463. Sat Sep 5 03:13:40 2026
  464. Sat Sep 5 03:13:40 2026
  465. Sat Sep 5 03:13:40 2026 Msieve v. 1.54 (SVN unknown)
  466. Sat Sep 5 03:13:40 2026 random seeds: 139946ab 00c1d6ce
  467. Sat Sep 5 03:13:40 2026 factoring 21885197334110275216614611654262966211848875201552244095581814364088483314680091713542107014753220533555766500808435214098103231772059023087293698453643675359574523953922516280332982648905482213310234693619821055804703485843694301175574133158048922792249862217 (260 digits)
  468. Sat Sep 5 03:13:41 2026 no P-1/P+1/ECM available, skipping
  469. Sat Sep 5 03:13:41 2026 commencing number field sieve (260-digit input)
  470. Sat Sep 5 03:13:41 2026 R0: 1
  471. Sat Sep 5 03:13:41 2026 R1: -1538653758553740329372251996974056176818443021
  472. Sat Sep 5 03:13:41 2026 A0: -12821
  473. Sat Sep 5 03:13:41 2026 A1: 0
  474. Sat Sep 5 03:13:41 2026 A2: 0
  475. Sat Sep 5 03:13:41 2026 A3: 0
  476. Sat Sep 5 03:13:41 2026 A4: 0
  477. Sat Sep 5 03:13:41 2026 A5: 0
  478. Sat Sep 5 03:13:41 2026 A6: 1
  479. Sat Sep 5 03:13:41 2026 skew 3.73, size 6.255e-14, alpha 2.026, combined = 1.502e-14 rroots = 2
  480. Sat Sep 5 03:13:41 2026
  481. Sat Sep 5 03:13:41 2026 commencing linear algebra
  482. Sat Sep 5 03:13:41 2026 using VBITS=256
  483. Sat Sep 5 03:13:41 2026 skipping matrix build
  484. Sat Sep 5 03:14:34 2026 matrix starts at (0, 0)
  485. Sat Sep 5 03:14:42 2026 matrix is 37364604 x 37364774 (12555.8 MB) with weight 3583918542 (95.92/col)
  486. Sat Sep 5 03:14:42 2026 sparse part has weight 2880418667 (77.09/col)
  487. Sat Sep 5 03:14:42 2026 saving the first 240 matrix rows for later
  488. Sat Sep 5 03:14:57 2026 matrix includes 256 packed rows
  489. Sat Sep 5 03:15:07 2026 matrix is 37364364 x 37364774 (11871.1 MB) with weight 2642781141 (70.73/col)
  490. Sat Sep 5 03:15:07 2026 sparse part has weight 2514112529 (67.29/col)
  491. Sat Sep 5 03:15:07 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  492. Sat Sep 5 03:15:07 2026 selected card has CUDA arch 12.0
  493. Sat Sep 5 03:15:07 2026 computed block_nnz 128000000 (L2 cache 100663296 bytes, average column weight 67.3)
  494. Sat Sep 5 03:15:07 2026 nonzeros per matrix block: 256000000
  495. Sat Sep 5 03:23:20 2026 commencing Lanczos iteration
  496. Sat Sep 5 03:23:23 2026 memory use: 31296.6 MB
  497. Sat Sep 5 03:24:02 2026 linear algebra at 0.1%, ETA 12h32m
  498. Sat Sep 5 03:24:57 2026 checking every 50000 dimensions, checkpointing every 3050000 dimensions
  499. Sat Sep 5 15:44:48 2026 lanczos halted after 146393 iterations (dim = 37364362)
  500. Sat Sep 5 15:50:07 2026 recovered 35 nontrivial dependencies
  501. Sat Sep 5 15:50:08 2026 BLanczosTime: 45387
  502. Sat Sep 5 15:50:08 2026 elapsed time 12:36:28
  503. Sat Sep 5 11:55:00 2026
  504. Sat Sep 5 11:55:00 2026
  505. Sat Sep 5 11:55:00 2026 Msieve v. 1.54 (SVN unknown)
  506. Sat Sep 5 11:55:00 2026 random seeds: 1b908d8d 252d382c
  507. Sat Sep 5 11:55:00 2026 Using 8 OpenMP threads
  508. Sat Sep 5 11:55:00 2026 factoring 21885197334110275216614611654262966211848875201552244095581814364088483314680091713542107014753220533555766500808435214098103231772059023087293698453643675359574523953922516280332982648905482213310234693619821055804703485843694301175574133158048922792249862217 (260 digits)
  509. Sat Sep 5 11:55:01 2026 no P-1/P+1/ECM available, skipping
  510. Sat Sep 5 11:55:01 2026 commencing number field sieve (260-digit input)
  511. Sat Sep 5 11:55:01 2026 R0: 1
  512. Sat Sep 5 11:55:01 2026 R1: -1538653758553740329372251996974056176818443021
  513. Sat Sep 5 11:55:01 2026 A0: -12821
  514. Sat Sep 5 11:55:01 2026 A1: 0
  515. Sat Sep 5 11:55:01 2026 A2: 0
  516. Sat Sep 5 11:55:01 2026 A3: 0
  517. Sat Sep 5 11:55:01 2026 A4: 0
  518. Sat Sep 5 11:55:01 2026 A5: 0
  519. Sat Sep 5 11:55:01 2026 A6: 1
  520. Sat Sep 5 11:55:01 2026 skew 3.73, size 6.255e-14, alpha 2.026, combined = 1.502e-14 rroots = 2
  521. Sat Sep 5 11:55:01 2026
  522. Sat Sep 5 11:55:01 2026 commencing square root phase
  523. Sat Sep 5 11:55:01 2026 reading relations for dependency 1
  524. Sat Sep 5 11:55:12 2026 read 18682255 cycles
  525. Sat Sep 5 11:55:48 2026 cycles contain 53200160 unique relations
  526. Sat Sep 5 12:13:44 2026 read 53200160 relations
  527. Sat Sep 5 12:18:28 2026 multiplying 53200160 relations
  528. Sat Sep 5 12:23:47 2026 multiply complete, coefficients have about 1489.37 million bits
  529. Sat Sep 5 12:23:50 2026 initial square root is modulo 4796191
  530. Sat Sep 5 12:34:11 2026 found factor: 247465688567473089995446276580737298715553731169632236806552360398653
  531. Sat Sep 5 12:34:11 2026 reading relations for dependency 2
  532. Sat Sep 5 12:34:14 2026 read 18681613 cycles
  533. Sat Sep 5 12:34:34 2026 cycles contain 53202356 unique relations
  534. Sat Sep 5 12:37:13 2026 read 53202356 relations
  535. Sat Sep 5 12:42:31 2026 multiplying 53202356 relations
  536. Sat Sep 5 12:48:03 2026 multiply complete, coefficients have about 1489.42 million bits
  537. Sat Sep 5 12:48:06 2026 initial square root is modulo 4798933
  538. Sat Sep 5 12:58:32 2026 sqrtTime: 3811
  539. Sat Sep 5 12:58:32 2026 p69 factor: 247465688567473089995446276580737298715553731169632236806552360398653
  540. Sat Sep 5 12:58:32 2026 p74 factor: 33386539138052494245502037061997412742676754018821942335207535302263084417
  541. Sat Sep 5 12:58:32 2026 p118 factor: 2648890908169295188116585369150625498765592526626677973898471503176795591331044260778561309231169448266716483746197117
  542. Sat Sep 5 12:58:32 2026 elapsed time 01:03:32
  543.  
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