kyleaskine

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Jul 25th, 2026
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  1. Sat Jul 25 09:11:37 2026
  2. Sat Jul 25 09:11:37 2026
  3. Sat Jul 25 09:11:37 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Jul 25 09:11:37 2026 random seeds: 95ebca70 cf0496b2
  5. Sat Jul 25 09:11:37 2026 Using 8 OpenMP threads
  6. Sat Jul 25 09:11:37 2026 factoring 21977677799981318612220982571276372141443855405023642157952252460115612616840087929176307303195790366098444151815081092853988522962555698580301244654836362149038193611040283435681182307 (185 digits)
  7. Sat Jul 25 09:11:37 2026 no P-1/P+1/ECM available, skipping
  8. Sat Jul 25 09:11:37 2026 commencing number field sieve (185-digit input)
  9. Sat Jul 25 09:11:37 2026 R0: -555417619785745963850187826179155277
  10. Sat Jul 25 09:11:37 2026 R1: 8557327480526207228693
  11. Sat Jul 25 09:11:37 2026 A0: -214611408868637077282880404320569186638988384
  12. Sat Jul 25 09:11:37 2026 A1: 40882872099177704695535634418885375622
  13. Sat Jul 25 09:11:37 2026 A2: 828767600595355883992905429791
  14. Sat Jul 25 09:11:37 2026 A3: -9629132562480107374133
  15. Sat Jul 25 09:11:37 2026 A4: -117776500584810
  16. Sat Jul 25 09:11:37 2026 A5: 831600
  17. Sat Jul 25 09:11:37 2026 skew 82057109.31, size 7.218e-18, alpha -8.284, combined = 5.937e-14 rroots = 5
  18. Sat Jul 25 09:11:37 2026
  19. Sat Jul 25 09:11:37 2026 commencing relation filtering
  20. Sat Jul 25 09:11:37 2026 setting 4 target densities:Sat Jul 25 09:11:37 2026 90Sat Jul 25 09:11:37 2026 110Sat Jul 25 09:11:37 2026 130Sat Jul 25 09:11:37 2026 140Sat Jul 25 09:11:37 2026
  21. Sat Jul 25 09:11:37 2026 estimated available RAM is 78540.1 MB
  22. Sat Jul 25 09:11:37 2026 commencing duplicate removal, pass 1
  23. Sat Jul 25 09:13:08 2026 error -1 reading relation 41563783
  24. Sat Jul 25 09:13:08 2026 error -1 reading relation 41862186
  25. Sat Jul 25 09:13:31 2026 error -1 reading relation 53591355
  26. Sat Jul 25 09:13:38 2026 error -1 reading relation 56692698
  27. Sat Jul 25 09:13:39 2026 error -1 reading relation 57136719
  28. Sat Jul 25 09:13:42 2026 error -1 reading relation 58856824
  29. Sat Jul 25 09:13:58 2026 error -1 reading relation 67397395
  30. Sat Jul 25 09:14:04 2026 error -1 reading relation 70630223
  31. Sat Jul 25 09:14:27 2026 error -1 reading relation 82884220
  32. Sat Jul 25 09:14:28 2026 error -1 reading relation 83358245
  33. Sat Jul 25 09:15:20 2026 error -1 reading relation 115495778
  34. Sat Jul 25 09:15:25 2026 error -1 reading relation 118302599
  35. Sat Jul 25 09:15:33 2026 error -1 reading relation 124023823
  36. Sat Jul 25 09:16:07 2026 error -1 reading relation 144883472
  37. Sat Jul 25 09:16:24 2026 error -15 reading relation 155245046
  38. Sat Jul 25 09:16:33 2026 error -15 reading relation 160679584
  39. Sat Jul 25 09:16:51 2026 error -1 reading relation 171874662
  40. Sat Jul 25 09:16:55 2026 error -1 reading relation 174613187
  41. Sat Jul 25 09:18:06 2026 error -1 reading relation 219041540
  42. Sat Jul 25 09:18:17 2026 error -1 reading relation 226244854
  43. Sat Jul 25 09:18:18 2026 error -1 reading relation 227395597
  44. Sat Jul 25 09:18:18 2026 error -1 reading relation 227402206
  45. Sat Jul 25 09:18:39 2026 error -1 reading relation 241122503
  46. Sat Jul 25 09:18:51 2026 error -1 reading relation 246058398
  47. Sat Jul 25 09:18:53 2026 error -1 reading relation 246966433
  48. Sat Jul 25 09:19:06 2026 error -1 reading relation 255611479
  49. Sat Jul 25 09:20:02 2026 error -1 reading relation 276108441
  50. Sat Jul 25 09:20:09 2026 error -1 reading relation 281362197
  51. Sat Jul 25 09:20:15 2026 error -1 reading relation 286238433
  52. Sat Jul 25 09:20:19 2026 error -1 reading relation 289795832
  53. Sat Jul 25 09:20:26 2026 error -1 reading relation 295817699
  54. Sat Jul 25 09:20:50 2026 error -1 reading relation 304565748
  55. Sat Jul 25 09:20:51 2026 error -1 reading relation 304965215
  56. Sat Jul 25 09:21:59 2026 error -1 reading relation 328045163
  57. Sat Jul 25 09:22:24 2026 error -1 reading relation 336516483
  58. Sat Jul 25 09:22:32 2026 error -1 reading relation 339276199
  59. Sat Jul 25 09:22:33 2026 error -1 reading relation 339529796
  60. Sat Jul 25 09:23:26 2026 error -1 reading relation 359077156
  61. Sat Jul 25 09:23:39 2026 error -1 reading relation 364124666
  62. Sat Jul 25 09:23:47 2026 error -1 reading relation 367003348
  63. Sat Jul 25 09:25:04 2026 error -1 reading relation 390955273
  64. Sat Jul 25 09:25:32 2026 error -1 reading relation 403811647
  65. Sat Jul 25 09:25:48 2026 error -1 reading relation 409421315
  66. Sat Jul 25 09:25:52 2026 error -1 reading relation 413493901
  67. Sat Jul 25 09:25:57 2026 error -1 reading relation 416829569
  68. Sat Jul 25 09:26:05 2026 error -1 reading relation 419345233
  69. Sat Jul 25 09:26:06 2026 error -1 reading relation 419673108
  70. Sat Jul 25 09:26:34 2026 error -1 reading relation 429518289
  71. Sat Jul 25 09:27:05 2026 error -1 reading relation 439942046
  72. Sat Jul 25 09:27:55 2026 error -1 reading relation 457713469
  73. Sat Jul 25 09:29:14 2026 error -1 reading relation 485426374
  74. Sat Jul 25 09:29:18 2026 error -1 reading relation 487136411
  75. Sat Jul 25 09:29:23 2026 error -1 reading relation 490037606
  76. Sat Jul 25 09:29:23 2026 error -1 reading relation 490141016
  77. Sat Jul 25 09:29:29 2026 error -1 reading relation 493722938
  78. Sat Jul 25 09:29:31 2026 error -1 reading relation 494448789
  79. Sat Jul 25 09:29:31 2026 error -1 reading relation 494450310
  80. Sat Jul 25 09:29:34 2026 error -1 reading relation 495722140
  81. Sat Jul 25 09:30:08 2026 error -1 reading relation 512049615
  82. Sat Jul 25 09:30:20 2026 error -1 reading relation 518030044
  83. Sat Jul 25 09:30:22 2026 error -1 reading relation 519230738
  84. Sat Jul 25 09:30:38 2026 error -1 reading relation 528044587
  85. Sat Jul 25 09:30:47 2026 error -1 reading relation 532707772
  86. Sat Jul 25 09:30:49 2026 error -1 reading relation 533711915
  87. Sat Jul 25 09:30:50 2026 error -1 reading relation 534202589
  88. Sat Jul 25 09:30:52 2026 error -1 reading relation 535444476
  89. Sat Jul 25 09:30:58 2026 error -1 reading relation 538784004
  90. Sat Jul 25 09:31:03 2026 error -1 reading relation 542219724
  91. Sat Jul 25 09:31:15 2026 error -1 reading relation 550343441
  92. Sat Jul 25 09:31:15 2026 error -15 reading relation 550835995
  93. Sat Jul 25 09:31:15 2026 error -1 reading relation 550835996
  94. Sat Jul 25 09:31:15 2026 error -1 reading relation 550956439
  95. Sat Jul 25 09:31:17 2026 error -1 reading relation 551713793
  96. Sat Jul 25 09:31:25 2026 error -1 reading relation 558257713
  97. Sat Jul 25 09:31:49 2026 error -1 reading relation 575348817
  98. Sat Jul 25 09:32:24 2026 error -1 reading relation 602167287
  99. Sat Jul 25 09:32:43 2026 error -1 reading relation 610106427
  100. Sat Jul 25 09:32:49 2026 error -1 reading relation 613541820
  101. Sat Jul 25 09:32:50 2026 error -1 reading relation 614186641
  102. Sat Jul 25 09:32:51 2026 error -1 reading relation 614633171
  103. Sat Jul 25 09:32:54 2026 error -1 reading relation 616049676
  104. Sat Jul 25 09:33:15 2026 error -1 reading relation 626671475
  105. Sat Jul 25 09:33:16 2026 error -1 reading relation 627443207
  106. Sat Jul 25 09:33:18 2026 error -1 reading relation 628584839
  107. Sat Jul 25 09:33:19 2026 skipped 1 relations with b > 2^32
  108. Sat Jul 25 09:33:19 2026 skipped 2 relations with composite factors
  109. Sat Jul 25 09:33:19 2026 skipped 563 malformed relations
  110. Sat Jul 25 09:33:19 2026 found 125168382 hash collisions in 628759307 relations
  111. Sat Jul 25 09:33:32 2026 added 120939 free relations
  112. Sat Jul 25 09:33:32 2026 commencing duplicate removal, pass 2
  113. Sat Jul 25 09:44:11 2026 found 131023983 duplicates and 497856263 unique relations
  114. Sat Jul 25 09:44:11 2026 memory use: 3411.0 MB
  115. Sat Jul 25 09:44:12 2026 reading ideals above 257490944
  116. Sat Jul 25 09:44:12 2026 commencing singleton removal, initial pass
  117. Sat Jul 25 10:19:23 2026 memory use: 11024.0 MB
  118. Sat Jul 25 10:19:24 2026 reading all ideals from disk
  119. Sat Jul 25 10:20:23 2026 memory use: 12981.4 MB
  120. Sat Jul 25 10:21:11 2026 commencing in-memory singleton removal
  121. Sat Jul 25 10:21:16 2026 begin with 497856263 relations and 441067300 unique ideals
  122. Sat Jul 25 10:21:59 2026 reduce to 295264057 relations and 215780574 ideals in 17 passes
  123. Sat Jul 25 10:21:59 2026 max relations containing the same ideal: 31
  124. Sat Jul 25 10:22:06 2026 reading ideals above 720000
  125. Sat Jul 25 10:22:06 2026 commencing singleton removal, initial pass
  126. Sat Jul 25 10:49:15 2026 memory use: 6024.0 MB
  127. Sat Jul 25 10:49:15 2026 reading all ideals from disk
  128. Sat Jul 25 10:50:00 2026 memory use: 14488.1 MB
  129. Sat Jul 25 10:50:50 2026 keeping 242378879 ideals with weight <= 200, target excess is 1531775
  130. Sat Jul 25 10:51:22 2026 commencing in-memory singleton removal
  131. Sat Jul 25 10:51:26 2026 begin with 295264057 relations and 242378879 unique ideals
  132. Sat Jul 25 10:52:08 2026 reduce to 295254676 relations and 242369498 ideals in 9 passes
  133. Sat Jul 25 10:52:08 2026 max relations containing the same ideal: 200
  134. Sat Jul 25 10:54:07 2026 removing 14635595 relations and 12635595 ideals in 2000000 cliques
  135. Sat Jul 25 10:54:13 2026 commencing in-memory singleton removal
  136. Sat Jul 25 10:54:18 2026 begin with 280619081 relations and 242369498 unique ideals
  137. Sat Jul 25 10:54:51 2026 reduce to 280070795 relations and 229180389 ideals in 8 passes
  138. Sat Jul 25 10:54:51 2026 max relations containing the same ideal: 199
  139. Sat Jul 25 10:56:35 2026 removing 10993914 relations and 8993914 ideals in 2000000 cliques
  140. Sat Jul 25 10:56:40 2026 commencing in-memory singleton removal
  141. Sat Jul 25 10:56:45 2026 begin with 269076881 relations and 229180389 unique ideals
  142. Sat Jul 25 10:57:10 2026 reduce to 268731639 relations and 219838472 ideals in 7 passes
  143. Sat Jul 25 10:57:10 2026 max relations containing the same ideal: 197
  144. Sat Jul 25 10:58:38 2026 removing 9848682 relations and 7848682 ideals in 2000000 cliques
  145. Sat Jul 25 10:58:42 2026 commencing in-memory singleton removal
  146. Sat Jul 25 10:58:46 2026 begin with 258882957 relations and 219838472 unique ideals
  147. Sat Jul 25 10:59:11 2026 reduce to 258588105 relations and 211692648 ideals in 8 passes
  148. Sat Jul 25 10:59:11 2026 max relations containing the same ideal: 193
  149. Sat Jul 25 11:00:23 2026 removing 9209459 relations and 7209459 ideals in 2000000 cliques
  150. Sat Jul 25 11:00:27 2026 commencing in-memory singleton removal
  151. Sat Jul 25 11:00:31 2026 begin with 249378646 relations and 211692648 unique ideals
  152. Sat Jul 25 11:00:46 2026 reduce to 249108874 relations and 204211372 ideals in 7 passes
  153. Sat Jul 25 11:00:46 2026 max relations containing the same ideal: 188
  154. Sat Jul 25 11:01:52 2026 removing 8786415 relations and 6786415 ideals in 2000000 cliques
  155. Sat Jul 25 11:01:56 2026 commencing in-memory singleton removal
  156. Sat Jul 25 11:01:59 2026 begin with 240322459 relations and 204211372 unique ideals
  157. Sat Jul 25 11:02:13 2026 reduce to 240067727 relations and 197168268 ideals in 7 passes
  158. Sat Jul 25 11:02:13 2026 max relations containing the same ideal: 184
  159. Sat Jul 25 11:03:18 2026 removing 8484043 relations and 6484043 ideals in 2000000 cliques
  160. Sat Jul 25 11:03:22 2026 commencing in-memory singleton removal
  161. Sat Jul 25 11:03:25 2026 begin with 231583684 relations and 197168268 unique ideals
  162. Sat Jul 25 11:03:38 2026 reduce to 231337285 relations and 190435886 ideals in 7 passes
  163. Sat Jul 25 11:03:38 2026 max relations containing the same ideal: 181
  164. Sat Jul 25 11:04:41 2026 removing 8256811 relations and 6256811 ideals in 2000000 cliques
  165. Sat Jul 25 11:04:45 2026 commencing in-memory singleton removal
  166. Sat Jul 25 11:04:48 2026 begin with 223080474 relations and 190435886 unique ideals
  167. Sat Jul 25 11:05:00 2026 reduce to 222838744 relations and 183935379 ideals in 7 passes
  168. Sat Jul 25 11:05:00 2026 max relations containing the same ideal: 178
  169. Sat Jul 25 11:06:02 2026 removing 8080081 relations and 6080081 ideals in 2000000 cliques
  170. Sat Jul 25 11:06:07 2026 commencing in-memory singleton removal
  171. Sat Jul 25 11:06:10 2026 begin with 214758663 relations and 183935379 unique ideals
  172. Sat Jul 25 11:06:26 2026 reduce to 214518071 relations and 177612713 ideals in 8 passes
  173. Sat Jul 25 11:06:26 2026 max relations containing the same ideal: 176
  174. Sat Jul 25 11:07:38 2026 removing 7946761 relations and 5946761 ideals in 2000000 cliques
  175. Sat Jul 25 11:07:42 2026 commencing in-memory singleton removal
  176. Sat Jul 25 11:07:45 2026 begin with 206571310 relations and 177612713 unique ideals
  177. Sat Jul 25 11:08:04 2026 reduce to 206330000 relations and 171422565 ideals in 7 passes
  178. Sat Jul 25 11:08:04 2026 max relations containing the same ideal: 175
  179. Sat Jul 25 11:09:11 2026 removing 7837013 relations and 5837013 ideals in 2000000 cliques
  180. Sat Jul 25 11:09:14 2026 commencing in-memory singleton removal
  181. Sat Jul 25 11:09:18 2026 begin with 198492987 relations and 171422565 unique ideals
  182. Sat Jul 25 11:09:38 2026 reduce to 198250204 relations and 165340584 ideals in 8 passes
  183. Sat Jul 25 11:09:38 2026 max relations containing the same ideal: 172
  184. Sat Jul 25 11:10:44 2026 removing 7755809 relations and 5755809 ideals in 2000000 cliques
  185. Sat Jul 25 11:10:48 2026 commencing in-memory singleton removal
  186. Sat Jul 25 11:10:51 2026 begin with 190494395 relations and 165340584 unique ideals
  187. Sat Jul 25 11:11:06 2026 reduce to 190249418 relations and 159337475 ideals in 6 passes
  188. Sat Jul 25 11:11:06 2026 max relations containing the same ideal: 164
  189. Sat Jul 25 11:12:17 2026 removing 7693931 relations and 5693931 ideals in 2000000 cliques
  190. Sat Jul 25 11:12:21 2026 commencing in-memory singleton removal
  191. Sat Jul 25 11:12:24 2026 begin with 182555487 relations and 159337475 unique ideals
  192. Sat Jul 25 11:12:41 2026 reduce to 182303364 relations and 153388986 ideals in 6 passes
  193. Sat Jul 25 11:12:41 2026 max relations containing the same ideal: 163
  194. Sat Jul 25 11:13:45 2026 removing 7645731 relations and 5645731 ideals in 2000000 cliques
  195. Sat Jul 25 11:13:48 2026 commencing in-memory singleton removal
  196. Sat Jul 25 11:13:51 2026 begin with 174657633 relations and 153388986 unique ideals
  197. Sat Jul 25 11:14:06 2026 reduce to 174398189 relations and 147481230 ideals in 7 passes
  198. Sat Jul 25 11:14:06 2026 max relations containing the same ideal: 158
  199. Sat Jul 25 11:15:06 2026 removing 7611003 relations and 5611003 ideals in 2000000 cliques
  200. Sat Jul 25 11:15:09 2026 commencing in-memory singleton removal
  201. Sat Jul 25 11:15:12 2026 begin with 166787186 relations and 147481230 unique ideals
  202. Sat Jul 25 11:15:26 2026 reduce to 166519446 relations and 141599534 ideals in 7 passes
  203. Sat Jul 25 11:15:26 2026 max relations containing the same ideal: 151
  204. Sat Jul 25 11:16:24 2026 removing 7594183 relations and 5594183 ideals in 2000000 cliques
  205. Sat Jul 25 11:16:27 2026 commencing in-memory singleton removal
  206. Sat Jul 25 11:16:28 2026 begin with 158925263 relations and 141599534 unique ideals
  207. Sat Jul 25 11:16:43 2026 reduce to 158647487 relations and 135724504 ideals in 7 passes
  208. Sat Jul 25 11:16:43 2026 max relations containing the same ideal: 144
  209. Sat Jul 25 11:17:40 2026 removing 7588716 relations and 5588716 ideals in 2000000 cliques
  210. Sat Jul 25 11:17:43 2026 commencing in-memory singleton removal
  211. Sat Jul 25 11:17:45 2026 begin with 151058771 relations and 135724504 unique ideals
  212. Sat Jul 25 11:17:58 2026 reduce to 150769291 relations and 129842901 ideals in 7 passes
  213. Sat Jul 25 11:17:58 2026 max relations containing the same ideal: 137
  214. Sat Jul 25 11:18:49 2026 removing 7597501 relations and 5597501 ideals in 2000000 cliques
  215. Sat Jul 25 11:18:52 2026 commencing in-memory singleton removal
  216. Sat Jul 25 11:18:54 2026 begin with 143171790 relations and 129842901 unique ideals
  217. Sat Jul 25 11:19:05 2026 reduce to 142866767 relations and 123936830 ideals in 7 passes
  218. Sat Jul 25 11:19:05 2026 max relations containing the same ideal: 132
  219. Sat Jul 25 11:19:54 2026 removing 7611982 relations and 5611982 ideals in 2000000 cliques
  220. Sat Jul 25 11:19:57 2026 commencing in-memory singleton removal
  221. Sat Jul 25 11:19:59 2026 begin with 135254785 relations and 123936830 unique ideals
  222. Sat Jul 25 11:20:10 2026 reduce to 134932000 relations and 117998017 ideals in 7 passes
  223. Sat Jul 25 11:20:10 2026 max relations containing the same ideal: 127
  224. Sat Jul 25 11:20:50 2026 removing 7647351 relations and 5647351 ideals in 2000000 cliques
  225. Sat Jul 25 11:20:53 2026 commencing in-memory singleton removal
  226. Sat Jul 25 11:20:54 2026 begin with 127284649 relations and 117998017 unique ideals
  227. Sat Jul 25 11:21:03 2026 reduce to 126938989 relations and 112000534 ideals in 8 passes
  228. Sat Jul 25 11:21:03 2026 max relations containing the same ideal: 124
  229. Sat Jul 25 11:21:45 2026 removing 7688446 relations and 5688446 ideals in 2000000 cliques
  230. Sat Jul 25 11:21:48 2026 commencing in-memory singleton removal
  231. Sat Jul 25 11:21:49 2026 begin with 119250543 relations and 112000534 unique ideals
  232. Sat Jul 25 11:22:03 2026 reduce to 118880303 relations and 105936604 ideals in 8 passes
  233. Sat Jul 25 11:22:03 2026 max relations containing the same ideal: 117
  234. Sat Jul 25 11:22:45 2026 removing 7753757 relations and 5753757 ideals in 2000000 cliques
  235. Sat Jul 25 11:22:47 2026 commencing in-memory singleton removal
  236. Sat Jul 25 11:22:49 2026 begin with 111126546 relations and 105936604 unique ideals
  237. Sat Jul 25 11:22:59 2026 reduce to 110723773 relations and 99774231 ideals in 8 passes
  238. Sat Jul 25 11:22:59 2026 max relations containing the same ideal: 112
  239. Sat Jul 25 11:23:40 2026 removing 7835176 relations and 5835176 ideals in 2000000 cliques
  240. Sat Jul 25 11:23:43 2026 commencing in-memory singleton removal
  241. Sat Jul 25 11:23:45 2026 begin with 102888597 relations and 99774231 unique ideals
  242. Sat Jul 25 11:23:55 2026 reduce to 102446858 relations and 93490471 ideals in 8 passes
  243. Sat Jul 25 11:23:55 2026 max relations containing the same ideal: 106
  244. Sat Jul 25 11:24:36 2026 removing 7936018 relations and 5936018 ideals in 2000000 cliques
  245. Sat Jul 25 11:24:38 2026 commencing in-memory singleton removal
  246. Sat Jul 25 11:24:40 2026 begin with 94510840 relations and 93490471 unique ideals
  247. Sat Jul 25 11:24:47 2026 reduce to 94019613 relations and 87055001 ideals in 7 passes
  248. Sat Jul 25 11:24:47 2026 max relations containing the same ideal: 102
  249. Sat Jul 25 11:25:24 2026 removing 8067246 relations and 6067246 ideals in 2000000 cliques
  250. Sat Jul 25 11:25:26 2026 commencing in-memory singleton removal
  251. Sat Jul 25 11:25:27 2026 begin with 85952367 relations and 87055001 unique ideals
  252. Sat Jul 25 11:25:36 2026 reduce to 85396503 relations and 80421883 ideals in 8 passes
  253. Sat Jul 25 11:25:36 2026 max relations containing the same ideal: 94
  254. Sat Jul 25 11:26:07 2026 removing 8225456 relations and 6225456 ideals in 2000000 cliques
  255. Sat Jul 25 11:26:09 2026 commencing in-memory singleton removal
  256. Sat Jul 25 11:26:10 2026 begin with 77171047 relations and 80421883 unique ideals
  257. Sat Jul 25 11:26:18 2026 reduce to 76530411 relations and 73543153 ideals in 8 passes
  258. Sat Jul 25 11:26:18 2026 max relations containing the same ideal: 87
  259. Sat Jul 25 11:26:46 2026 removing 5661353 relations and 4450954 ideals in 1210399 cliques
  260. Sat Jul 25 11:26:48 2026 commencing in-memory singleton removal
  261. Sat Jul 25 11:26:49 2026 begin with 70869058 relations and 73543153 unique ideals
  262. Sat Jul 25 11:26:55 2026 reduce to 70546223 relations and 68765071 ideals in 8 passes
  263. Sat Jul 25 11:26:55 2026 max relations containing the same ideal: 81
  264. Sat Jul 25 11:27:23 2026 trying target density 90
  265. Sat Jul 25 11:27:28 2026 relations with 0 large ideals: 5684
  266. Sat Jul 25 11:27:28 2026 relations with 1 large ideals: 25960
  267. Sat Jul 25 11:27:28 2026 relations with 2 large ideals: 391393
  268. Sat Jul 25 11:27:28 2026 relations with 3 large ideals: 2471261
  269. Sat Jul 25 11:27:28 2026 relations with 4 large ideals: 8297153
  270. Sat Jul 25 11:27:28 2026 relations with 5 large ideals: 16330126
  271. Sat Jul 25 11:27:28 2026 relations with 6 large ideals: 19707312
  272. Sat Jul 25 11:27:28 2026 relations with 7+ large ideals: 23317334
  273. Sat Jul 25 11:27:28 2026 commencing 2-way merge
  274. Sat Jul 25 11:28:06 2026 reduce to 42688511 relation sets and 40907359 unique ideals
  275. Sat Jul 25 11:28:06 2026 commencing full merge
  276. Sat Jul 25 11:37:57 2026 memory use: 4853.9 MB
  277. Sat Jul 25 11:38:02 2026 found 21261443 cycles, need 21019559
  278. Sat Jul 25 11:38:08 2026 weight of 21019559 cycles is about 1891925417 (90.01/cycle)
  279. Sat Jul 25 11:38:08 2026 distribution of cycle lengths:
  280. Sat Jul 25 11:38:08 2026 1 relations: 2204537
  281. Sat Jul 25 11:38:08 2026 2 relations: 2013225
  282. Sat Jul 25 11:38:08 2026 3 relations: 2057584
  283. Sat Jul 25 11:38:08 2026 4 relations: 2015645
  284. Sat Jul 25 11:38:08 2026 5 relations: 1947358
  285. Sat Jul 25 11:38:08 2026 6 relations: 1849477
  286. Sat Jul 25 11:38:08 2026 7 relations: 1697494
  287. Sat Jul 25 11:38:08 2026 8 relations: 1524959
  288. Sat Jul 25 11:38:08 2026 9 relations: 1316693
  289. Sat Jul 25 11:38:08 2026 10+ relations: 4392587
  290. Sat Jul 25 11:38:08 2026 heaviest cycle: 21 relations
  291. Sat Jul 25 11:38:13 2026 commencing cycle optimization
  292. Sat Jul 25 11:38:49 2026 start with 131394038 relations
  293. Sat Jul 25 11:41:45 2026 pruned 3558380 relations
  294. Sat Jul 25 11:41:47 2026 memory use: 4222.7 MB
  295. Sat Jul 25 11:41:47 2026 distribution of cycle lengths:
  296. Sat Jul 25 11:41:47 2026 1 relations: 2204537
  297. Sat Jul 25 11:41:47 2026 2 relations: 2059090
  298. Sat Jul 25 11:41:47 2026 3 relations: 2129944
  299. Sat Jul 25 11:41:47 2026 4 relations: 2069492
  300. Sat Jul 25 11:41:47 2026 5 relations: 2011190
  301. Sat Jul 25 11:41:47 2026 6 relations: 1895879
  302. Sat Jul 25 11:41:47 2026 7 relations: 1741705
  303. Sat Jul 25 11:41:47 2026 8 relations: 1548610
  304. Sat Jul 25 11:41:47 2026 9 relations: 1325068
  305. Sat Jul 25 11:41:48 2026 10+ relations: 4034044
  306. Sat Jul 25 11:41:48 2026 heaviest cycle: 21 relations
  307. Sat Jul 25 11:42:23 2026 trying target density 110
  308. Sat Jul 25 11:42:29 2026 relations with 0 large ideals: 5684
  309. Sat Jul 25 11:42:29 2026 relations with 1 large ideals: 25960
  310. Sat Jul 25 11:42:29 2026 relations with 2 large ideals: 391393
  311. Sat Jul 25 11:42:29 2026 relations with 3 large ideals: 2471261
  312. Sat Jul 25 11:42:29 2026 relations with 4 large ideals: 8297153
  313. Sat Jul 25 11:42:29 2026 relations with 5 large ideals: 16330126
  314. Sat Jul 25 11:42:29 2026 relations with 6 large ideals: 19707312
  315. Sat Jul 25 11:42:29 2026 relations with 7+ large ideals: 23317334
  316. Sat Jul 25 11:42:29 2026 commencing 2-way merge
  317. Sat Jul 25 11:43:25 2026 reduce to 42688511 relation sets and 40907359 unique ideals
  318. Sat Jul 25 11:43:25 2026 commencing full merge
  319. Sat Jul 25 11:57:11 2026 memory use: 4990.4 MB
  320. Sat Jul 25 11:57:14 2026 found 19791990 cycles, need 19591559
  321. Sat Jul 25 11:57:19 2026 weight of 19591559 cycles is about 2155137614 (110.00/cycle)
  322. Sat Jul 25 11:57:19 2026 distribution of cycle lengths:
  323. Sat Jul 25 11:57:19 2026 1 relations: 1616150
  324. Sat Jul 25 11:57:19 2026 2 relations: 1539021
  325. Sat Jul 25 11:57:19 2026 3 relations: 1565958
  326. Sat Jul 25 11:57:19 2026 4 relations: 1529654
  327. Sat Jul 25 11:57:19 2026 5 relations: 1522773
  328. Sat Jul 25 11:57:19 2026 6 relations: 1479614
  329. Sat Jul 25 11:57:19 2026 7 relations: 1435205
  330. Sat Jul 25 11:57:19 2026 8 relations: 1353608
  331. Sat Jul 25 11:57:19 2026 9 relations: 1246613
  332. Sat Jul 25 11:57:19 2026 10+ relations: 6302963
  333. Sat Jul 25 11:57:19 2026 heaviest cycle: 26 relations
  334. Sat Jul 25 11:57:23 2026 commencing cycle optimization
  335. Sat Jul 25 11:58:00 2026 start with 149201211 relations
  336. Sat Jul 25 12:02:59 2026 pruned 5126514 relations
  337. Sat Jul 25 12:03:02 2026 memory use: 4405.8 MB
  338. Sat Jul 25 12:03:02 2026 distribution of cycle lengths:
  339. Sat Jul 25 12:03:02 2026 1 relations: 1616150
  340. Sat Jul 25 12:03:02 2026 2 relations: 1575036
  341. Sat Jul 25 12:03:02 2026 3 relations: 1623673
  342. Sat Jul 25 12:03:02 2026 4 relations: 1578292
  343. Sat Jul 25 12:03:02 2026 5 relations: 1581522
  344. Sat Jul 25 12:03:02 2026 6 relations: 1531718
  345. Sat Jul 25 12:03:02 2026 7 relations: 1489605
  346. Sat Jul 25 12:03:02 2026 8 relations: 1397272
  347. Sat Jul 25 12:03:02 2026 9 relations: 1283826
  348. Sat Jul 25 12:03:02 2026 10+ relations: 5914465
  349. Sat Jul 25 12:03:02 2026 heaviest cycle: 26 relations
  350. Sat Jul 25 12:03:42 2026 trying target density 130
  351. Sat Jul 25 12:03:46 2026 relations with 0 large ideals: 5684
  352. Sat Jul 25 12:03:46 2026 relations with 1 large ideals: 25960
  353. Sat Jul 25 12:03:46 2026 relations with 2 large ideals: 391393
  354. Sat Jul 25 12:03:46 2026 relations with 3 large ideals: 2471261
  355. Sat Jul 25 12:03:46 2026 relations with 4 large ideals: 8297153
  356. Sat Jul 25 12:03:46 2026 relations with 5 large ideals: 16330126
  357. Sat Jul 25 12:03:46 2026 relations with 6 large ideals: 19707312
  358. Sat Jul 25 12:03:46 2026 relations with 7+ large ideals: 23317334
  359. Sat Jul 25 12:03:46 2026 commencing 2-way merge
  360. Sat Jul 25 12:04:42 2026 reduce to 42688511 relation sets and 40907359 unique ideals
  361. Sat Jul 25 12:04:42 2026 commencing full merge
  362. Sat Jul 25 12:17:47 2026 memory use: 5073.5 MB
  363. Sat Jul 25 12:17:50 2026 found 18630098 cycles, need 18557559
  364. Sat Jul 25 12:17:54 2026 weight of 18557559 cycles is about 2413126851 (130.03/cycle)
  365. Sat Jul 25 12:17:54 2026 distribution of cycle lengths:
  366. Sat Jul 25 12:17:54 2026 1 relations: 1183881
  367. Sat Jul 25 12:17:54 2026 2 relations: 1223792
  368. Sat Jul 25 12:17:54 2026 3 relations: 1267886
  369. Sat Jul 25 12:17:54 2026 4 relations: 1245122
  370. Sat Jul 25 12:17:54 2026 5 relations: 1251964
  371. Sat Jul 25 12:17:54 2026 6 relations: 1220202
  372. Sat Jul 25 12:17:54 2026 7 relations: 1216213
  373. Sat Jul 25 12:17:54 2026 8 relations: 1162024
  374. Sat Jul 25 12:17:54 2026 9 relations: 1122157
  375. Sat Jul 25 12:17:54 2026 10+ relations: 7664318
  376. Sat Jul 25 12:17:54 2026 heaviest cycle: 28 relations
  377. Sat Jul 25 12:17:58 2026 commencing cycle optimization
  378. Sat Jul 25 12:18:31 2026 start with 166406661 relations
  379. Sat Jul 25 12:23:44 2026 pruned 6770831 relations
  380. Sat Jul 25 12:23:44 2026 memory use: 4581.8 MB
  381. Sat Jul 25 12:23:44 2026 distribution of cycle lengths:
  382. Sat Jul 25 12:23:44 2026 1 relations: 1183881
  383. Sat Jul 25 12:23:44 2026 2 relations: 1253133
  384. Sat Jul 25 12:23:44 2026 3 relations: 1316171
  385. Sat Jul 25 12:23:44 2026 4 relations: 1288218
  386. Sat Jul 25 12:23:44 2026 5 relations: 1304382
  387. Sat Jul 25 12:23:44 2026 6 relations: 1270578
  388. Sat Jul 25 12:23:44 2026 7 relations: 1269242
  389. Sat Jul 25 12:23:44 2026 8 relations: 1213338
  390. Sat Jul 25 12:23:44 2026 9 relations: 1169242
  391. Sat Jul 25 12:23:44 2026 10+ relations: 7289374
  392. Sat Jul 25 12:23:44 2026 heaviest cycle: 28 relations
  393. Sat Jul 25 12:24:21 2026 trying target density 140
  394. Sat Jul 25 12:24:26 2026 relations with 0 large ideals: 5684
  395. Sat Jul 25 12:24:26 2026 relations with 1 large ideals: 25960
  396. Sat Jul 25 12:24:26 2026 relations with 2 large ideals: 391393
  397. Sat Jul 25 12:24:26 2026 relations with 3 large ideals: 2471261
  398. Sat Jul 25 12:24:26 2026 relations with 4 large ideals: 8297153
  399. Sat Jul 25 12:24:26 2026 relations with 5 large ideals: 16330126
  400. Sat Jul 25 12:24:26 2026 relations with 6 large ideals: 19707312
  401. Sat Jul 25 12:24:26 2026 relations with 7+ large ideals: 23317334
  402. Sat Jul 25 12:24:26 2026 commencing 2-way merge
  403. Sat Jul 25 12:25:19 2026 reduce to 42688511 relation sets and 40907359 unique ideals
  404. Sat Jul 25 12:25:19 2026 commencing full merge
  405. Sat Jul 25 12:51:19 2026 memory use: 1904.9 MB
  406. Sat Jul 25 12:51:20 2026 found 122316 cycles, need 9405475
  407. Sat Jul 25 12:51:20 2026 too few cycles, matrix probably cannot build
  408. Sat Jul 25 12:51:21 2026 RelProcTime: 13184
  409. Sat Jul 25 12:51:21 2026
  410. Sat Jul 25 12:51:21 2026 commencing linear algebra
  411. Sat Jul 25 12:51:21 2026 using VBITS=256
  412. Sat Jul 25 12:51:21 2026 building matrices for all densities
  413. Sat Jul 25 12:51:22 2026 found 3 density files
  414. Sat Jul 25 12:51:22 2026 building matrix for density 90
  415. Sat Jul 25 12:51:31 2026 read 21019559 cycles
  416. Sat Jul 25 12:52:02 2026 cycles contain 69343389 unique relations
  417. Sat Jul 25 13:04:04 2026 read 69343389 relations
  418. Sat Jul 25 13:04:29 2026 using 20 quadratic characters above 4294917295
  419. Sat Jul 25 13:04:54 2026 building initial matrix
  420. Sat Jul 25 13:14:15 2026 memory use: 9831.7 MB
  421. Sat Jul 25 13:14:33 2026 read 21019559 cycles
  422. Sat Jul 25 13:14:36 2026 matrix is 21019381 x 21019559 (7892.9 MB) with weight 2432350003 (115.72/col)
  423. Sat Jul 25 13:14:36 2026 sparse part has weight 1816847931 (86.44/col)
  424. Sat Jul 25 13:17:06 2026 filtering completed in 2 passes
  425. Sat Jul 25 13:17:11 2026 matrix is 21012832 x 21013008 (7892.4 MB) with weight 2432091301 (115.74/col)
  426. Sat Jul 25 13:17:11 2026 sparse part has weight 1816777690 (86.46/col)
  427. Sat Jul 25 13:17:55 2026 building matrix for density 110
  428. Sat Jul 25 13:17:56 2026 read 19591559 cycles
  429. Sat Jul 25 13:18:26 2026 cycles contain 69366620 unique relations
  430. Sat Jul 25 13:20:59 2026 read 69366620 relations
  431. Sat Jul 25 13:21:19 2026 using 20 quadratic characters above 4294917295
  432. Sat Jul 25 13:21:43 2026 building initial matrix
  433. Sat Jul 25 13:33:12 2026 memory use: 9540.3 MB
  434. Sat Jul 25 13:33:20 2026 read 19591559 cycles
  435. Sat Jul 25 13:33:22 2026 matrix is 19591380 x 19591559 (8673.3 MB) with weight 2648756499 (135.20/col)
  436. Sat Jul 25 13:33:22 2026 sparse part has weight 2038565245 (104.05/col)
  437. Sat Jul 25 13:36:05 2026 filtering completed in 2 passes
  438. Sat Jul 25 13:36:10 2026 matrix is 19588621 x 19588798 (8673.0 MB) with weight 2648624273 (135.21/col)
  439. Sat Jul 25 13:36:10 2026 sparse part has weight 2038521385 (104.07/col)
  440. Sat Jul 25 13:36:51 2026 building matrix for density 130
  441. Sat Jul 25 13:36:53 2026 read 18557559 cycles
  442. Sat Jul 25 13:37:20 2026 cycles contain 69368581 unique relations
  443. Sat Jul 25 13:39:40 2026 read 69368581 relations
  444. Sat Jul 25 13:40:04 2026 using 20 quadratic characters above 4294917295
  445. Sat Jul 25 13:40:28 2026 building initial matrix
  446. Sat Jul 25 13:52:39 2026 memory use: 9568.4 MB
  447. Sat Jul 25 13:52:47 2026 read 18557559 cycles
  448. Sat Jul 25 13:52:49 2026 matrix is 18557381 x 18557559 (9443.1 MB) with weight 2860339701 (154.13/col)
  449. Sat Jul 25 13:52:49 2026 sparse part has weight 2252770909 (121.39/col)
  450. Sat Jul 25 13:55:23 2026 filtering completed in 2 passes
  451. Sat Jul 25 13:55:28 2026 matrix is 18556707 x 18556883 (9443.1 MB) with weight 2860307572 (154.14/col)
  452. Sat Jul 25 13:55:28 2026 sparse part has weight 2252762245 (121.40/col)
  453. Sat Jul 25 13:56:04 2026 BLanczosTime: 3883
  454. Sat Jul 25 13:56:04 2026 elapsed time 04:44:27
  455. Sat Jul 25 19:52:03 2026
  456. Sat Jul 25 19:52:03 2026
  457. Sat Jul 25 19:52:03 2026 Msieve v. 1.54 (SVN unknown)
  458. Sat Jul 25 19:52:03 2026 random seeds: d2f150b9 1d0c5c91
  459. Sat Jul 25 19:52:03 2026 Using 8 OpenMP threads
  460. Sat Jul 25 19:52:03 2026 factoring 21977677799981318612220982571276372141443855405023642157952252460115612616840087929176307303195790366098444151815081092853988522962555698580301244654836362149038193611040283435681182307 (185 digits)
  461. Sat Jul 25 19:52:03 2026 no P-1/P+1/ECM available, skipping
  462. Sat Jul 25 19:52:03 2026 commencing number field sieve (185-digit input)
  463. Sat Jul 25 19:52:03 2026 R0: -555417619785745963850187826179155277
  464. Sat Jul 25 19:52:03 2026 R1: 8557327480526207228693
  465. Sat Jul 25 19:52:03 2026 A0: -214611408868637077282880404320569186638988384
  466. Sat Jul 25 19:52:03 2026 A1: 40882872099177704695535634418885375622
  467. Sat Jul 25 19:52:03 2026 A2: 828767600595355883992905429791
  468. Sat Jul 25 19:52:03 2026 A3: -9629132562480107374133
  469. Sat Jul 25 19:52:03 2026 A4: -117776500584810
  470. Sat Jul 25 19:52:03 2026 A5: 831600
  471. Sat Jul 25 19:52:03 2026 skew 82057109.31, size 7.218e-18, alpha -8.284, combined = 5.937e-14 rroots = 5
  472. Sat Jul 25 19:52:03 2026
  473. Sat Jul 25 19:52:03 2026 commencing linear algebra
  474. Sat Jul 25 19:52:03 2026 using VBITS=256
  475. Sat Jul 25 19:52:03 2026 skipping matrix build
  476. Sat Jul 25 19:52:10 2026 matrix starts at (0, 0)
  477. Sat Jul 25 19:52:12 2026 matrix is 18556707 x 18556883 (9443.1 MB) with weight 2860307572 (154.14/col)
  478. Sat Jul 25 19:52:12 2026 sparse part has weight 2252762245 (121.40/col)
  479. Sat Jul 25 19:52:12 2026 saving the first 240 matrix rows for later
  480. Sat Jul 25 19:52:15 2026 matrix includes 256 packed rows
  481. Sat Jul 25 19:52:20 2026 matrix is 18556467 x 18556883 (8517.5 MB) with weight 2063978123 (111.22/col)
  482. Sat Jul 25 19:52:20 2026 sparse part has weight 1935896845 (104.32/col)
  483. Sat Jul 25 19:52:22 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  484. Sat Jul 25 19:52:22 2026 selected card has CUDA arch 12.0
  485. Sat Jul 25 19:52:23 2026 computed block_nnz 164084801 (L2 cache 100663296 bytes, average column weight 104.3)
  486. Sat Jul 25 19:52:23 2026 nonzeros per matrix block: 256000000
  487. Sat Jul 25 19:54:46 2026 commencing Lanczos iteration
  488. Sat Jul 25 19:54:48 2026 memory use: 20432.8 MB
  489. Sat Jul 25 19:55:05 2026 linear algebra at 0.2%, ETA 2h41m
  490. Sat Jul 25 19:55:29 2026 checking every 110000 dimensions, checkpointing every 6930000 dimensions
  491. Sat Jul 25 22:37:15 2026 lanczos halted after 72705 iterations (dim = 18556465)
  492. Sat Jul 25 22:38:15 2026 recovered 28 nontrivial dependencies
  493. Sat Jul 25 22:38:16 2026 BLanczosTime: 9973
  494. Sat Jul 25 22:38:16 2026 elapsed time 02:46:13
  495. Sat Jul 25 19:06:43 2026
  496. Sat Jul 25 19:06:43 2026
  497. Sat Jul 25 19:06:43 2026 Msieve v. 1.54 (SVN unknown)
  498. Sat Jul 25 19:06:43 2026 random seeds: 4b479564 742c1a4c
  499. Sat Jul 25 19:06:43 2026 Using 8 OpenMP threads
  500. Sat Jul 25 19:06:43 2026 factoring 21977677799981318612220982571276372141443855405023642157952252460115612616840087929176307303195790366098444151815081092853988522962555698580301244654836362149038193611040283435681182307 (185 digits)
  501. Sat Jul 25 19:06:43 2026 no P-1/P+1/ECM available, skipping
  502. Sat Jul 25 19:06:43 2026 commencing number field sieve (185-digit input)
  503. Sat Jul 25 19:06:43 2026 R0: -555417619785745963850187826179155277
  504. Sat Jul 25 19:06:43 2026 R1: 8557327480526207228693
  505. Sat Jul 25 19:06:43 2026 A0: -214611408868637077282880404320569186638988384
  506. Sat Jul 25 19:06:43 2026 A1: 40882872099177704695535634418885375622
  507. Sat Jul 25 19:06:43 2026 A2: 828767600595355883992905429791
  508. Sat Jul 25 19:06:43 2026 A3: -9629132562480107374133
  509. Sat Jul 25 19:06:43 2026 A4: -117776500584810
  510. Sat Jul 25 19:06:43 2026 A5: 831600
  511. Sat Jul 25 19:06:43 2026 skew 82057109.31, size 7.218e-18, alpha -8.284, combined = 5.937e-14 rroots = 5
  512. Sat Jul 25 19:06:43 2026
  513. Sat Jul 25 19:06:43 2026 commencing square root phase
  514. Sat Jul 25 19:06:43 2026 reading relations for dependency 1
  515. Sat Jul 25 19:06:49 2026 read 9277885 cycles
  516. Sat Jul 25 19:07:04 2026 cycles contain 34679244 unique relations
  517. Sat Jul 25 19:13:50 2026 read 34679244 relations
  518. Sat Jul 25 19:15:29 2026 multiplying 34679244 relations
  519. Sat Jul 25 19:18:45 2026 multiply complete, coefficients have about 2052.53 million bits
  520. Sat Jul 25 19:18:49 2026 initial square root is modulo 1610935541
  521. Sat Jul 25 19:25:32 2026 GCD is 1, no factor found
  522. Sat Jul 25 19:25:32 2026 reading relations for dependency 2
  523. Sat Jul 25 19:25:33 2026 read 9278855 cycles
  524. Sat Jul 25 19:25:44 2026 cycles contain 34681552 unique relations
  525. Sat Jul 25 19:29:14 2026 read 34681552 relations
  526. Sat Jul 25 19:31:00 2026 multiplying 34681552 relations
  527. Sat Jul 25 19:34:24 2026 multiply complete, coefficients have about 2052.67 million bits
  528. Sat Jul 25 19:34:28 2026 initial square root is modulo 1613285731
  529. Sat Jul 25 19:41:05 2026 sqrtTime: 2062
  530. Sat Jul 25 19:41:05 2026 p90 factor: 385466198831595052297504152423802739045347467258186651064068230487818182694880013885293049
  531. Sat Jul 25 19:41:05 2026 p95 factor: 57015836580740163912049210674654631208468970302202597019614469539561668069346756527725352758843
  532. Sat Jul 25 19:41:05 2026 elapsed time 00:34:22
  533.  
Tags: math
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