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kyleaskine
Jun 2nd, 2026
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  1. Sat May 30 15:59:14 2026
  2. Sat May 30 15:59:14 2026
  3. Sat May 30 15:59:14 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat May 30 15:59:14 2026 random seeds: 0a40a554 a27dc97c
  5. Sat May 30 15:59:14 2026 Using 14 OpenMP threads
  6. Sat May 30 15:59:14 2026 factoring 2318588180901024580615375226552134229966306304298260258656541316067181264694423669977736410970520220657553865817050025588853344838297414811819090249108422560120575907597489517495516951 (184 digits)
  7. Sat May 30 15:59:14 2026 no P-1/P+1/ECM available, skipping
  8. Sat May 30 15:59:14 2026 commencing number field sieve (184-digit input)
  9. Sat May 30 15:59:14 2026 R0: -364500340672243101712114428288222724
  10. Sat May 30 15:59:14 2026 R1: 13640656653153944575327
  11. Sat May 30 15:59:14 2026 A0: -77799625086722093362461906727182247847659350
  12. Sat May 30 15:59:14 2026 A1: -2903169108189116654198388207626426515
  13. Sat May 30 15:59:14 2026 A2: 263196422401214612313556412592
  14. Sat May 30 15:59:14 2026 A3: 2739758272617172012711
  15. Sat May 30 15:59:14 2026 A4: -352985838234558
  16. Sat May 30 15:59:14 2026 A5: 2162160
  17. Sat May 30 15:59:14 2026 skew 38223728.28, size 7.845e-18, alpha -8.168, combined = 6.221e-14 rroots = 3
  18. Sat May 30 15:59:14 2026
  19. Sat May 30 15:59:14 2026 commencing relation filtering
  20. Sat May 30 15:59:14 2026 setting 4 target densities:Sat May 30 15:59:14 2026 80Sat May 30 15:59:14 2026 100Sat May 30 15:59:14 2026 120Sat May 30 15:59:14 2026 140Sat May 30 15:59:14 2026
  21. Sat May 30 15:59:14 2026 estimated available RAM is 78540.1 MB
  22. Sat May 30 15:59:14 2026 commencing duplicate removal, pass 1
  23. Sat May 30 16:00:42 2026 error -1 reading relation 79652864
  24. Sat May 30 16:06:07 2026 error -1 reading relation 170603226
  25. Sat May 30 16:06:11 2026 error -15 reading relation 173333319
  26. Sat May 30 16:06:11 2026 error -15 reading relation 173351307
  27. Sat May 30 16:06:15 2026 error -1 reading relation 177074668
  28. Sat May 30 16:06:16 2026 error -1 reading relation 177937842
  29. Sat May 30 16:06:43 2026 error -1 reading relation 200620842
  30. Sat May 30 16:06:44 2026 error -1 reading relation 202164166
  31. Sat May 30 16:06:44 2026 error -1 reading relation 202177373
  32. Sat May 30 16:09:01 2026 error -1 reading relation 306032211
  33. Sat May 30 16:09:07 2026 error -1 reading relation 307627689
  34. Sat May 30 16:09:58 2026 error -1 reading relation 322159935
  35. Sat May 30 16:11:14 2026 error -1 reading relation 343384033
  36. Sat May 30 16:13:25 2026 error -1 reading relation 381917361
  37. Sat May 30 16:13:25 2026 error -1 reading relation 381921702
  38. Sat May 30 16:13:53 2026 error -1 reading relation 390290180
  39. Sat May 30 16:13:57 2026 error -1 reading relation 391404883
  40. Sat May 30 16:14:02 2026 error -1 reading relation 392902821
  41. Sat May 30 16:14:09 2026 error -1 reading relation 395086661
  42. Sat May 30 16:14:11 2026 error -1 reading relation 395599848
  43. Sat May 30 16:14:13 2026 error -1 reading relation 396050688
  44. Sat May 30 16:14:14 2026 error -1 reading relation 396339210
  45. Sat May 30 16:14:16 2026 error -1 reading relation 397013436
  46. Sat May 30 16:14:17 2026 error -1 reading relation 397370208
  47. Sat May 30 16:14:24 2026 error -1 reading relation 399377598
  48. Sat May 30 16:15:02 2026 error -1 reading relation 410409195
  49. Sat May 30 16:15:04 2026 error -1 reading relation 410695699
  50. Sat May 30 16:15:11 2026 error -15 reading relation 412725390
  51. Sat May 30 16:16:37 2026 error -1 reading relation 437674280
  52. Sat May 30 16:17:25 2026 error -1 reading relation 451625423
  53. Sat May 30 16:18:41 2026 error -1 reading relation 474167800
  54. Sat May 30 16:19:06 2026 error -1 reading relation 481467743
  55. Sat May 30 16:19:10 2026 error -1 reading relation 482484065
  56. Sat May 30 16:21:18 2026 error -1 reading relation 518084977
  57. Sat May 30 16:21:49 2026 error -1 reading relation 527304034
  58. Sat May 30 16:22:29 2026 error -1 reading relation 538639533
  59. Sat May 30 16:22:51 2026 error -1 reading relation 545124310
  60. Sat May 30 16:24:02 2026 error -1 reading relation 565915714
  61. Sat May 30 16:24:19 2026 error -1 reading relation 570962232
  62. Sat May 30 16:25:06 2026 error -1 reading relation 584664210
  63. Sat May 30 16:25:35 2026 error -1 reading relation 593019238
  64. Sat May 30 16:26:57 2026 error -1 reading relation 615522862
  65. Sat May 30 16:27:01 2026 error -1 reading relation 616662020
  66. Sat May 30 16:27:06 2026 error -1 reading relation 617933860
  67. Sat May 30 16:27:18 2026 error -1 reading relation 621272480
  68. Sat May 30 16:27:18 2026 error -1 reading relation 621281281
  69. Sat May 30 16:27:31 2026 error -1 reading relation 625491231
  70. Sat May 30 16:27:32 2026 error -15 reading relation 625624726
  71. Sat May 30 16:27:53 2026 error -1 reading relation 631774900
  72. Sat May 30 16:28:04 2026 error -1 reading relation 635100615
  73. Sat May 30 16:28:05 2026 error -1 reading relation 635350314
  74. Sat May 30 16:28:07 2026 error -1 reading relation 636094953
  75. Sat May 30 16:29:40 2026 error -1 reading relation 663229510
  76. Sat May 30 16:29:55 2026 skipped 336 malformed relations
  77. Sat May 30 16:29:55 2026 found 140030326 hash collisions in 667308040 relations
  78. Sat May 30 16:30:12 2026 added 121705 free relations
  79. Sat May 30 16:30:12 2026 commencing duplicate removal, pass 2
  80. Sat May 30 16:44:06 2026 found 149644432 duplicates and 517785313 unique relations
  81. Sat May 30 16:44:06 2026 memory use: 3411.0 MB
  82. Sat May 30 16:44:06 2026 reading ideals above 281346048
  83. Sat May 30 16:44:06 2026 commencing singleton removal, initial pass
  84. Sat May 30 17:23:03 2026 memory use: 11024.0 MB
  85. Sat May 30 17:23:04 2026 reading all ideals from disk
  86. Sat May 30 17:23:16 2026 memory use: 13378.7 MB
  87. Sat May 30 17:23:48 2026 commencing in-memory singleton removal
  88. Sat May 30 17:23:53 2026 begin with 517785313 relations and 443309570 unique ideals
  89. Sat May 30 17:24:45 2026 reduce to 322862925 relations and 227991406 ideals in 14 passes
  90. Sat May 30 17:24:45 2026 max relations containing the same ideal: 32
  91. Sat May 30 17:24:56 2026 reading ideals above 720000
  92. Sat May 30 17:24:57 2026 commencing singleton removal, initial pass
  93. Sat May 30 18:03:43 2026 memory use: 6024.0 MB
  94. Sat May 30 18:03:43 2026 reading all ideals from disk
  95. Sat May 30 18:04:01 2026 memory use: 15799.8 MB
  96. Sat May 30 18:04:39 2026 keeping 256945046 ideals with weight <= 200, target excess is 1631078
  97. Sat May 30 18:05:32 2026 commencing in-memory singleton removal
  98. Sat May 30 18:05:39 2026 begin with 322862925 relations and 256945046 unique ideals
  99. Sat May 30 18:06:21 2026 reduce to 322857709 relations and 256939830 ideals in 8 passes
  100. Sat May 30 18:06:21 2026 max relations containing the same ideal: 200
  101. Sat May 30 18:09:34 2026 removing 13564582 relations and 11564582 ideals in 2000000 cliques
  102. Sat May 30 18:09:42 2026 commencing in-memory singleton removal
  103. Sat May 30 18:09:49 2026 begin with 309293127 relations and 256939830 unique ideals
  104. Sat May 30 18:10:30 2026 reduce to 308876657 relations and 244955144 ideals in 8 passes
  105. Sat May 30 18:10:30 2026 max relations containing the same ideal: 200
  106. Sat May 30 18:13:44 2026 removing 10249835 relations and 8249835 ideals in 2000000 cliques
  107. Sat May 30 18:13:51 2026 commencing in-memory singleton removal
  108. Sat May 30 18:13:57 2026 begin with 298626822 relations and 244955144 unique ideals
  109. Sat May 30 18:14:32 2026 reduce to 298360098 relations and 236436632 ideals in 7 passes
  110. Sat May 30 18:14:32 2026 max relations containing the same ideal: 199
  111. Sat May 30 18:17:22 2026 removing 9196192 relations and 7196192 ideals in 2000000 cliques
  112. Sat May 30 18:17:29 2026 commencing in-memory singleton removal
  113. Sat May 30 18:17:35 2026 begin with 289163906 relations and 236436632 unique ideals
  114. Sat May 30 18:18:08 2026 reduce to 288936692 relations and 229011630 ideals in 7 passes
  115. Sat May 30 18:18:08 2026 max relations containing the same ideal: 195
  116. Sat May 30 18:21:06 2026 removing 8605414 relations and 6605414 ideals in 2000000 cliques
  117. Sat May 30 18:21:14 2026 commencing in-memory singleton removal
  118. Sat May 30 18:21:19 2026 begin with 280331278 relations and 229011630 unique ideals
  119. Sat May 30 18:21:51 2026 reduce to 280123634 relations and 222197085 ideals in 7 passes
  120. Sat May 30 18:21:51 2026 max relations containing the same ideal: 194
  121. Sat May 30 18:24:35 2026 removing 8207475 relations and 6207475 ideals in 2000000 cliques
  122. Sat May 30 18:24:42 2026 commencing in-memory singleton removal
  123. Sat May 30 18:24:47 2026 begin with 271916159 relations and 222197085 unique ideals
  124. Sat May 30 18:25:18 2026 reduce to 271720434 relations and 215792516 ideals in 7 passes
  125. Sat May 30 18:25:18 2026 max relations containing the same ideal: 189
  126. Sat May 30 18:28:04 2026 removing 7922674 relations and 5922674 ideals in 2000000 cliques
  127. Sat May 30 18:28:11 2026 commencing in-memory singleton removal
  128. Sat May 30 18:28:16 2026 begin with 263797760 relations and 215792516 unique ideals
  129. Sat May 30 18:28:47 2026 reduce to 263609926 relations and 209680647 ideals in 7 passes
  130. Sat May 30 18:28:47 2026 max relations containing the same ideal: 186
  131. Sat May 30 18:31:30 2026 removing 7711338 relations and 5711338 ideals in 2000000 cliques
  132. Sat May 30 18:31:36 2026 commencing in-memory singleton removal
  133. Sat May 30 18:31:41 2026 begin with 255898588 relations and 209680647 unique ideals
  134. Sat May 30 18:32:11 2026 reduce to 255714963 relations and 203784315 ideals in 7 passes
  135. Sat May 30 18:32:11 2026 max relations containing the same ideal: 185
  136. Sat May 30 18:34:54 2026 removing 7541438 relations and 5541438 ideals in 2000000 cliques
  137. Sat May 30 18:35:00 2026 commencing in-memory singleton removal
  138. Sat May 30 18:35:05 2026 begin with 248173525 relations and 203784315 unique ideals
  139. Sat May 30 18:35:29 2026 reduce to 247992853 relations and 198060846 ideals in 6 passes
  140. Sat May 30 18:35:29 2026 max relations containing the same ideal: 183
  141. Sat May 30 18:37:58 2026 removing 7408027 relations and 5408027 ideals in 2000000 cliques
  142. Sat May 30 18:38:04 2026 commencing in-memory singleton removal
  143. Sat May 30 18:38:09 2026 begin with 240584826 relations and 198060846 unique ideals
  144. Sat May 30 18:38:37 2026 reduce to 240404689 relations and 192471261 ideals in 7 passes
  145. Sat May 30 18:38:37 2026 max relations containing the same ideal: 178
  146. Sat May 30 18:41:07 2026 removing 7298386 relations and 5298386 ideals in 2000000 cliques
  147. Sat May 30 18:41:13 2026 commencing in-memory singleton removal
  148. Sat May 30 18:41:17 2026 begin with 233106303 relations and 192471261 unique ideals
  149. Sat May 30 18:41:44 2026 reduce to 232926403 relations and 186991519 ideals in 7 passes
  150. Sat May 30 18:41:44 2026 max relations containing the same ideal: 175
  151. Sat May 30 18:44:02 2026 removing 7211808 relations and 5211808 ideals in 2000000 cliques
  152. Sat May 30 18:44:08 2026 commencing in-memory singleton removal
  153. Sat May 30 18:44:12 2026 begin with 225714595 relations and 186991519 unique ideals
  154. Sat May 30 18:44:38 2026 reduce to 225534924 relations and 181598533 ideals in 7 passes
  155. Sat May 30 18:44:38 2026 max relations containing the same ideal: 173
  156. Sat May 30 18:47:00 2026 removing 7140916 relations and 5140916 ideals in 2000000 cliques
  157. Sat May 30 18:47:06 2026 commencing in-memory singleton removal
  158. Sat May 30 18:47:10 2026 begin with 218394008 relations and 181598533 unique ideals
  159. Sat May 30 18:47:32 2026 reduce to 218212101 relations and 176274088 ideals in 6 passes
  160. Sat May 30 18:47:32 2026 max relations containing the same ideal: 169
  161. Sat May 30 18:49:47 2026 removing 7083478 relations and 5083478 ideals in 2000000 cliques
  162. Sat May 30 18:49:52 2026 commencing in-memory singleton removal
  163. Sat May 30 18:49:56 2026 begin with 211128623 relations and 176274088 unique ideals
  164. Sat May 30 18:50:16 2026 reduce to 210944535 relations and 171004873 ideals in 6 passes
  165. Sat May 30 18:50:16 2026 max relations containing the same ideal: 165
  166. Sat May 30 18:52:23 2026 removing 7034476 relations and 5034476 ideals in 2000000 cliques
  167. Sat May 30 18:52:28 2026 commencing in-memory singleton removal
  168. Sat May 30 18:52:32 2026 begin with 203910059 relations and 171004873 unique ideals
  169. Sat May 30 18:52:55 2026 reduce to 203722356 relations and 165780886 ideals in 7 passes
  170. Sat May 30 18:52:55 2026 max relations containing the same ideal: 158
  171. Sat May 30 18:55:06 2026 removing 7002707 relations and 5002707 ideals in 2000000 cliques
  172. Sat May 30 18:55:11 2026 commencing in-memory singleton removal
  173. Sat May 30 18:55:15 2026 begin with 196719649 relations and 165780886 unique ideals
  174. Sat May 30 18:55:34 2026 reduce to 196528528 relations and 160585191 ideals in 6 passes
  175. Sat May 30 18:55:34 2026 max relations containing the same ideal: 155
  176. Sat May 30 18:57:40 2026 removing 6967804 relations and 4967804 ideals in 2000000 cliques
  177. Sat May 30 18:57:45 2026 commencing in-memory singleton removal
  178. Sat May 30 18:57:48 2026 begin with 189560724 relations and 160585191 unique ideals
  179. Sat May 30 18:58:06 2026 reduce to 189364181 relations and 155418881 ideals in 6 passes
  180. Sat May 30 18:58:06 2026 max relations containing the same ideal: 152
  181. Sat May 30 19:00:10 2026 removing 6951849 relations and 4951849 ideals in 2000000 cliques
  182. Sat May 30 19:00:15 2026 commencing in-memory singleton removal
  183. Sat May 30 19:00:18 2026 begin with 182412332 relations and 155418881 unique ideals
  184. Sat May 30 19:00:36 2026 reduce to 182211590 relations and 150264157 ideals in 6 passes
  185. Sat May 30 19:00:36 2026 max relations containing the same ideal: 147
  186. Sat May 30 19:02:32 2026 removing 6943786 relations and 4943786 ideals in 2000000 cliques
  187. Sat May 30 19:02:37 2026 commencing in-memory singleton removal
  188. Sat May 30 19:02:41 2026 begin with 175267804 relations and 150264157 unique ideals
  189. Sat May 30 19:03:00 2026 reduce to 175059453 relations and 145109785 ideals in 7 passes
  190. Sat May 30 19:03:00 2026 max relations containing the same ideal: 142
  191. Sat May 30 19:04:55 2026 removing 6936038 relations and 4936038 ideals in 2000000 cliques
  192. Sat May 30 19:04:59 2026 commencing in-memory singleton removal
  193. Sat May 30 19:05:02 2026 begin with 168123415 relations and 145109785 unique ideals
  194. Sat May 30 19:05:20 2026 reduce to 167907356 relations and 139955320 ideals in 7 passes
  195. Sat May 30 19:05:20 2026 max relations containing the same ideal: 140
  196. Sat May 30 19:07:06 2026 removing 6942336 relations and 4942336 ideals in 2000000 cliques
  197. Sat May 30 19:07:11 2026 commencing in-memory singleton removal
  198. Sat May 30 19:07:14 2026 begin with 160965020 relations and 139955320 unique ideals
  199. Sat May 30 19:07:32 2026 reduce to 160740602 relations and 134785961 ideals in 7 passes
  200. Sat May 30 19:07:32 2026 max relations containing the same ideal: 135
  201. Sat May 30 19:09:20 2026 removing 6953416 relations and 4953416 ideals in 2000000 cliques
  202. Sat May 30 19:09:25 2026 commencing in-memory singleton removal
  203. Sat May 30 19:09:27 2026 begin with 153787186 relations and 134785961 unique ideals
  204. Sat May 30 19:09:42 2026 reduce to 153551725 relations and 129594224 ideals in 6 passes
  205. Sat May 30 19:09:42 2026 max relations containing the same ideal: 131
  206. Sat May 30 19:11:25 2026 removing 6967364 relations and 4967364 ideals in 2000000 cliques
  207. Sat May 30 19:11:29 2026 commencing in-memory singleton removal
  208. Sat May 30 19:11:32 2026 begin with 146584361 relations and 129594224 unique ideals
  209. Sat May 30 19:11:49 2026 reduce to 146338565 relations and 124377885 ideals in 7 passes
  210. Sat May 30 19:11:49 2026 max relations containing the same ideal: 126
  211. Sat May 30 19:13:27 2026 removing 6998816 relations and 4998816 ideals in 2000000 cliques
  212. Sat May 30 19:13:31 2026 commencing in-memory singleton removal
  213. Sat May 30 19:13:34 2026 begin with 139339749 relations and 124377885 unique ideals
  214. Sat May 30 19:13:49 2026 reduce to 139078298 relations and 119114149 ideals in 7 passes
  215. Sat May 30 19:13:49 2026 max relations containing the same ideal: 121
  216. Sat May 30 19:15:20 2026 removing 7030078 relations and 5030078 ideals in 2000000 cliques
  217. Sat May 30 19:15:24 2026 commencing in-memory singleton removal
  218. Sat May 30 19:15:26 2026 begin with 132048220 relations and 119114149 unique ideals
  219. Sat May 30 19:15:40 2026 reduce to 131771514 relations and 113803615 ideals in 7 passes
  220. Sat May 30 19:15:40 2026 max relations containing the same ideal: 117
  221. Sat May 30 19:17:07 2026 removing 7074882 relations and 5074882 ideals in 2000000 cliques
  222. Sat May 30 19:17:10 2026 commencing in-memory singleton removal
  223. Sat May 30 19:17:12 2026 begin with 124696632 relations and 113803615 unique ideals
  224. Sat May 30 19:17:26 2026 reduce to 124401468 relations and 108429431 ideals in 7 passes
  225. Sat May 30 19:17:26 2026 max relations containing the same ideal: 113
  226. Sat May 30 19:18:43 2026 removing 7133125 relations and 5133125 ideals in 2000000 cliques
  227. Sat May 30 19:18:46 2026 commencing in-memory singleton removal
  228. Sat May 30 19:18:48 2026 begin with 117268343 relations and 108429431 unique ideals
  229. Sat May 30 19:19:01 2026 reduce to 116947650 relations and 102970910 ideals in 7 passes
  230. Sat May 30 19:19:01 2026 max relations containing the same ideal: 108
  231. Sat May 30 19:20:16 2026 removing 7208187 relations and 5208187 ideals in 2000000 cliques
  232. Sat May 30 19:20:19 2026 commencing in-memory singleton removal
  233. Sat May 30 19:20:21 2026 begin with 109739463 relations and 102970910 unique ideals
  234. Sat May 30 19:20:34 2026 reduce to 109392383 relations and 97410308 ideals in 8 passes
  235. Sat May 30 19:20:34 2026 max relations containing the same ideal: 105
  236. Sat May 30 19:21:46 2026 removing 7298645 relations and 5298645 ideals in 2000000 cliques
  237. Sat May 30 19:21:49 2026 commencing in-memory singleton removal
  238. Sat May 30 19:21:51 2026 begin with 102093738 relations and 97410308 unique ideals
  239. Sat May 30 19:22:05 2026 reduce to 101713123 relations and 91724919 ideals in 9 passes
  240. Sat May 30 19:22:05 2026 max relations containing the same ideal: 101
  241. Sat May 30 19:23:16 2026 removing 7407955 relations and 5407955 ideals in 2000000 cliques
  242. Sat May 30 19:23:20 2026 commencing in-memory singleton removal
  243. Sat May 30 19:23:22 2026 begin with 94305168 relations and 91724919 unique ideals
  244. Sat May 30 19:23:32 2026 reduce to 93880512 relations and 85885055 ideals in 7 passes
  245. Sat May 30 19:23:32 2026 max relations containing the same ideal: 93
  246. Sat May 30 19:24:39 2026 removing 7544114 relations and 5544114 ideals in 2000000 cliques
  247. Sat May 30 19:24:42 2026 commencing in-memory singleton removal
  248. Sat May 30 19:24:43 2026 begin with 86336398 relations and 85885055 unique ideals
  249. Sat May 30 19:24:52 2026 reduce to 85854218 relations and 79850000 ideals in 7 passes
  250. Sat May 30 19:24:52 2026 max relations containing the same ideal: 90
  251. Sat May 30 19:25:50 2026 removing 7706803 relations and 5706803 ideals in 2000000 cliques
  252. Sat May 30 19:25:52 2026 commencing in-memory singleton removal
  253. Sat May 30 19:25:54 2026 begin with 78147415 relations and 79850000 unique ideals
  254. Sat May 30 19:26:03 2026 reduce to 77588706 relations and 73573662 ideals in 8 passes
  255. Sat May 30 19:26:03 2026 max relations containing the same ideal: 82
  256. Sat May 30 19:26:58 2026 removing 7922568 relations and 5922568 ideals in 2000000 cliques
  257. Sat May 30 19:27:01 2026 commencing in-memory singleton removal
  258. Sat May 30 19:27:02 2026 begin with 69666138 relations and 73573662 unique ideals
  259. Sat May 30 19:27:11 2026 reduce to 68998848 relations and 66969358 ideals in 8 passes
  260. Sat May 30 19:27:11 2026 max relations containing the same ideal: 76
  261. Sat May 30 19:27:59 2026 removing 911475 relations and 774036 ideals in 137439 cliques
  262. Sat May 30 19:28:01 2026 commencing in-memory singleton removal
  263. Sat May 30 19:28:02 2026 begin with 68087373 relations and 66969358 unique ideals
  264. Sat May 30 19:28:09 2026 reduce to 68079682 relations and 66187608 ideals in 6 passes
  265. Sat May 30 19:28:09 2026 max relations containing the same ideal: 76
  266. Sat May 30 19:28:11 2026 trying target density 80
  267. Sat May 30 19:28:18 2026 relations with 0 large ideals: 5834
  268. Sat May 30 19:28:18 2026 relations with 1 large ideals: 35303
  269. Sat May 30 19:28:18 2026 relations with 2 large ideals: 493680
  270. Sat May 30 19:28:18 2026 relations with 3 large ideals: 2906357
  271. Sat May 30 19:28:18 2026 relations with 4 large ideals: 9033218
  272. Sat May 30 19:28:18 2026 relations with 5 large ideals: 16523523
  273. Sat May 30 19:28:18 2026 relations with 6 large ideals: 18677423
  274. Sat May 30 19:28:18 2026 relations with 7+ large ideals: 20404344
  275. Sat May 30 19:28:18 2026 commencing 2-way merge
  276. Sat May 30 19:29:20 2026 reduce to 41546353 relation sets and 39654279 unique ideals
  277. Sat May 30 19:29:20 2026 commencing full merge
  278. Sat May 30 19:45:55 2026 memory use: 4489.7 MB
  279. Sat May 30 19:46:06 2026 found 21482721 cycles, need 21222479
  280. Sat May 30 19:46:15 2026 weight of 21222479 cycles is about 1697844115 (80.00/cycle)
  281. Sat May 30 19:46:15 2026 distribution of cycle lengths:
  282. Sat May 30 19:46:15 2026 1 relations: 2431343
  283. Sat May 30 19:46:15 2026 2 relations: 2282859
  284. Sat May 30 19:46:15 2026 3 relations: 2341710
  285. Sat May 30 19:46:15 2026 4 relations: 2274666
  286. Sat May 30 19:46:15 2026 5 relations: 2223748
  287. Sat May 30 19:46:15 2026 6 relations: 2018771
  288. Sat May 30 19:46:15 2026 7 relations: 1810131
  289. Sat May 30 19:46:15 2026 8 relations: 1529043
  290. Sat May 30 19:46:15 2026 9 relations: 1236936
  291. Sat May 30 19:46:15 2026 10+ relations: 3073272
  292. Sat May 30 19:46:15 2026 heaviest cycle: 18 relations
  293. Sat May 30 19:46:26 2026 commencing cycle optimization
  294. Sat May 30 19:47:20 2026 start with 118307048 relations
  295. Sat May 30 19:51:34 2026 pruned 2772038 relations
  296. Sat May 30 19:51:38 2026 memory use: 3990.5 MB
  297. Sat May 30 19:51:39 2026 distribution of cycle lengths:
  298. Sat May 30 19:51:39 2026 1 relations: 2431343
  299. Sat May 30 19:51:39 2026 2 relations: 2332210
  300. Sat May 30 19:51:39 2026 3 relations: 2419120
  301. Sat May 30 19:51:39 2026 4 relations: 2333924
  302. Sat May 30 19:51:39 2026 5 relations: 2284776
  303. Sat May 30 19:51:39 2026 6 relations: 2062343
  304. Sat May 30 19:51:39 2026 7 relations: 1839569
  305. Sat May 30 19:51:39 2026 8 relations: 1531201
  306. Sat May 30 19:51:39 2026 9 relations: 1221723
  307. Sat May 30 19:51:39 2026 10+ relations: 2766270
  308. Sat May 30 19:51:39 2026 heaviest cycle: 18 relations
  309. Sat May 30 19:52:42 2026 trying target density 100
  310. Sat May 30 19:52:49 2026 relations with 0 large ideals: 5834
  311. Sat May 30 19:52:49 2026 relations with 1 large ideals: 35303
  312. Sat May 30 19:52:49 2026 relations with 2 large ideals: 493680
  313. Sat May 30 19:52:49 2026 relations with 3 large ideals: 2906357
  314. Sat May 30 19:52:49 2026 relations with 4 large ideals: 9033218
  315. Sat May 30 19:52:49 2026 relations with 5 large ideals: 16523523
  316. Sat May 30 19:52:49 2026 relations with 6 large ideals: 18677423
  317. Sat May 30 19:52:49 2026 relations with 7+ large ideals: 20404344
  318. Sat May 30 19:52:49 2026 commencing 2-way merge
  319. Sat May 30 19:53:45 2026 reduce to 41546353 relation sets and 39654279 unique ideals
  320. Sat May 30 19:53:45 2026 commencing full merge
  321. Sat May 30 20:13:36 2026 memory use: 4606.6 MB
  322. Sat May 30 20:13:47 2026 found 19775315 cycles, need 19526479
  323. Sat May 30 20:13:56 2026 weight of 19526479 cycles is about 1952968502 (100.02/cycle)
  324. Sat May 30 20:13:57 2026 distribution of cycle lengths:
  325. Sat May 30 20:13:57 2026 1 relations: 1752677
  326. Sat May 30 20:13:57 2026 2 relations: 1604731
  327. Sat May 30 20:13:57 2026 3 relations: 1683646
  328. Sat May 30 20:13:57 2026 4 relations: 1664486
  329. Sat May 30 20:13:57 2026 5 relations: 1694436
  330. Sat May 30 20:13:57 2026 6 relations: 1643747
  331. Sat May 30 20:13:57 2026 7 relations: 1564824
  332. Sat May 30 20:13:57 2026 8 relations: 1428510
  333. Sat May 30 20:13:57 2026 9 relations: 1284246
  334. Sat May 30 20:13:57 2026 10+ relations: 5205176
  335. Sat May 30 20:13:57 2026 heaviest cycle: 23 relations
  336. Sat May 30 20:14:06 2026 commencing cycle optimization
  337. Sat May 30 20:15:12 2026 start with 135675486 relations
  338. Sat May 30 20:21:38 2026 pruned 4312597 relations
  339. Sat May 30 20:21:42 2026 memory use: 4167.9 MB
  340. Sat May 30 20:21:42 2026 distribution of cycle lengths:
  341. Sat May 30 20:21:42 2026 1 relations: 1752677
  342. Sat May 30 20:21:42 2026 2 relations: 1644115
  343. Sat May 30 20:21:42 2026 3 relations: 1745748
  344. Sat May 30 20:21:42 2026 4 relations: 1720471
  345. Sat May 30 20:21:42 2026 5 relations: 1758629
  346. Sat May 30 20:21:42 2026 6 relations: 1699233
  347. Sat May 30 20:21:42 2026 7 relations: 1617484
  348. Sat May 30 20:21:42 2026 8 relations: 1466422
  349. Sat May 30 20:21:42 2026 9 relations: 1310069
  350. Sat May 30 20:21:42 2026 10+ relations: 4811631
  351. Sat May 30 20:21:42 2026 heaviest cycle: 23 relations
  352. Sat May 30 20:22:51 2026 trying target density 120
  353. Sat May 30 20:22:59 2026 relations with 0 large ideals: 5834
  354. Sat May 30 20:22:59 2026 relations with 1 large ideals: 35303
  355. Sat May 30 20:22:59 2026 relations with 2 large ideals: 493680
  356. Sat May 30 20:22:59 2026 relations with 3 large ideals: 2906357
  357. Sat May 30 20:22:59 2026 relations with 4 large ideals: 9033218
  358. Sat May 30 20:22:59 2026 relations with 5 large ideals: 16523523
  359. Sat May 30 20:22:59 2026 relations with 6 large ideals: 18677423
  360. Sat May 30 20:22:59 2026 relations with 7+ large ideals: 20404344
  361. Sat May 30 20:22:59 2026 commencing 2-way merge
  362. Sat May 30 20:23:54 2026 reduce to 41546353 relation sets and 39654279 unique ideals
  363. Sat May 30 20:23:55 2026 commencing full merge
  364. Sat May 30 20:47:27 2026 memory use: 4700.4 MB
  365. Sat May 30 20:47:37 2026 found 18542309 cycles, need 18358479
  366. Sat May 30 20:47:47 2026 weight of 18358479 cycles is about 2203224874 (120.01/cycle)
  367. Sat May 30 20:47:47 2026 distribution of cycle lengths:
  368. Sat May 30 20:47:47 2026 1 relations: 1319738
  369. Sat May 30 20:47:47 2026 2 relations: 1226684
  370. Sat May 30 20:47:47 2026 3 relations: 1282711
  371. Sat May 30 20:47:47 2026 4 relations: 1305118
  372. Sat May 30 20:47:47 2026 5 relations: 1334433
  373. Sat May 30 20:47:47 2026 6 relations: 1337753
  374. Sat May 30 20:47:47 2026 7 relations: 1304447
  375. Sat May 30 20:47:47 2026 8 relations: 1257910
  376. Sat May 30 20:47:47 2026 9 relations: 1183317
  377. Sat May 30 20:47:47 2026 10+ relations: 6806368
  378. Sat May 30 20:47:47 2026 heaviest cycle: 27 relations
  379. Sat May 30 20:47:56 2026 commencing cycle optimization
  380. Sat May 30 20:49:05 2026 start with 152451005 relations
  381. Sat May 30 20:57:58 2026 pruned 5941227 relations
  382. Sat May 30 20:57:58 2026 memory use: 4336.5 MB
  383. Sat May 30 20:57:58 2026 distribution of cycle lengths:
  384. Sat May 30 20:57:58 2026 1 relations: 1319738
  385. Sat May 30 20:57:58 2026 2 relations: 1257636
  386. Sat May 30 20:57:58 2026 3 relations: 1332965
  387. Sat May 30 20:57:58 2026 4 relations: 1354197
  388. Sat May 30 20:57:58 2026 5 relations: 1393041
  389. Sat May 30 20:57:58 2026 6 relations: 1393118
  390. Sat May 30 20:57:58 2026 7 relations: 1364579
  391. Sat May 30 20:57:58 2026 8 relations: 1308585
  392. Sat May 30 20:57:58 2026 9 relations: 1228709
  393. Sat May 30 20:57:58 2026 10+ relations: 6405911
  394. Sat May 30 20:57:58 2026 heaviest cycle: 27 relations
  395. Sat May 30 20:59:03 2026 trying target density 140
  396. Sat May 30 20:59:11 2026 relations with 0 large ideals: 5834
  397. Sat May 30 20:59:11 2026 relations with 1 large ideals: 35303
  398. Sat May 30 20:59:11 2026 relations with 2 large ideals: 493680
  399. Sat May 30 20:59:11 2026 relations with 3 large ideals: 2906357
  400. Sat May 30 20:59:11 2026 relations with 4 large ideals: 9033218
  401. Sat May 30 20:59:11 2026 relations with 5 large ideals: 16523523
  402. Sat May 30 20:59:11 2026 relations with 6 large ideals: 18677423
  403. Sat May 30 20:59:11 2026 relations with 7+ large ideals: 20404344
  404. Sat May 30 20:59:11 2026 commencing 2-way merge
  405. Sat May 30 21:00:06 2026 reduce to 41546353 relation sets and 39654279 unique ideals
  406. Sat May 30 21:00:06 2026 commencing full merge
  407. Sat May 30 21:26:28 2026 memory use: 4743.9 MB
  408. Sat May 30 21:26:38 2026 found 17489926 cycles, need 17480479
  409. Sat May 30 21:26:46 2026 weight of 17480479 cycles is about 2447948905 (140.04/cycle)
  410. Sat May 30 21:26:46 2026 distribution of cycle lengths:
  411. Sat May 30 21:26:46 2026 1 relations: 1036768
  412. Sat May 30 21:26:46 2026 2 relations: 988818
  413. Sat May 30 21:26:46 2026 3 relations: 1042269
  414. Sat May 30 21:26:46 2026 4 relations: 1049920
  415. Sat May 30 21:26:46 2026 5 relations: 1086860
  416. Sat May 30 21:26:46 2026 6 relations: 1100012
  417. Sat May 30 21:26:46 2026 7 relations: 1097181
  418. Sat May 30 21:26:46 2026 8 relations: 1079274
  419. Sat May 30 21:26:46 2026 9 relations: 1039340
  420. Sat May 30 21:26:46 2026 10+ relations: 7960037
  421. Sat May 30 21:26:46 2026 heaviest cycle: 28 relations
  422. Sat May 30 21:26:55 2026 commencing cycle optimization
  423. Sat May 30 21:28:05 2026 start with 168633500 relations
  424. Sat May 30 21:39:22 2026 pruned 7636058 relations
  425. Sat May 30 21:39:22 2026 memory use: 4496.2 MB
  426. Sat May 30 21:39:22 2026 distribution of cycle lengths:
  427. Sat May 30 21:39:22 2026 1 relations: 1036768
  428. Sat May 30 21:39:22 2026 2 relations: 1013974
  429. Sat May 30 21:39:22 2026 3 relations: 1083050
  430. Sat May 30 21:39:22 2026 4 relations: 1091922
  431. Sat May 30 21:39:22 2026 5 relations: 1138207
  432. Sat May 30 21:39:22 2026 6 relations: 1150954
  433. Sat May 30 21:39:22 2026 7 relations: 1154358
  434. Sat May 30 21:39:22 2026 8 relations: 1132029
  435. Sat May 30 21:39:22 2026 9 relations: 1093549
  436. Sat May 30 21:39:22 2026 10+ relations: 7585668
  437. Sat May 30 21:39:22 2026 heaviest cycle: 28 relations
  438. Sat May 30 21:40:28 2026 RelProcTime: 20474
  439. Sat May 30 21:40:28 2026
  440. Sat May 30 21:40:28 2026 commencing linear algebra
  441. Sat May 30 21:40:28 2026 using VBITS=256
  442. Sat May 30 21:40:28 2026 building matrices for all densities
  443. Sat May 30 21:40:28 2026 found 4 density files
  444. Sat May 30 21:40:28 2026 building matrix for density 80
  445. Sat May 30 21:40:31 2026 read 21222479 cycles
  446. Sat May 30 21:41:17 2026 cycles contain 66926538 unique relations
  447. Sat May 30 21:45:25 2026 read 66926538 relations
  448. Sat May 30 21:45:46 2026 using 20 quadratic characters above 4294917295
  449. Sat May 30 21:46:13 2026 building initial matrix
  450. Sat May 30 22:02:54 2026 memory use: 9566.6 MB
  451. Sat May 30 22:03:07 2026 read 21222479 cycles
  452. Sat May 30 22:03:10 2026 matrix is 21222299 x 21222479 (7240.7 MB) with weight 2247418777 (105.90/col)
  453. Sat May 30 22:03:10 2026 sparse part has weight 1643442154 (77.44/col)
  454. Sat May 30 22:07:46 2026 filtering completed in 2 passes
  455. Sat May 30 22:07:52 2026 matrix is 21213925 x 21214102 (7240.1 MB) with weight 2247124363 (105.93/col)
  456. Sat May 30 22:07:52 2026 sparse part has weight 1643377653 (77.47/col)
  457. Sat May 30 22:08:52 2026 building matrix for density 100
  458. Sat May 30 22:08:55 2026 read 19526479 cycles
  459. Sat May 30 22:09:38 2026 cycles contain 66959359 unique relations
  460. Sat May 30 22:13:20 2026 read 66959359 relations
  461. Sat May 30 22:13:45 2026 using 20 quadratic characters above 4294917295
  462. Sat May 30 22:14:12 2026 building initial matrix
  463. Sat May 30 22:32:24 2026 memory use: 9266.6 MB
  464. Sat May 30 22:32:34 2026 read 19526479 cycles
  465. Sat May 30 22:32:37 2026 matrix is 19526301 x 19526479 (7986.5 MB) with weight 2453484931 (125.65/col)
  466. Sat May 30 22:32:37 2026 sparse part has weight 1859303599 (95.22/col)
  467. Sat May 30 22:37:36 2026 filtering completed in 2 passes
  468. Sat May 30 22:37:43 2026 matrix is 19522331 x 19522505 (7986.2 MB) with weight 2453317822 (125.67/col)
  469. Sat May 30 22:37:43 2026 sparse part has weight 1859258079 (95.24/col)
  470. Sat May 30 22:38:46 2026 building matrix for density 120
  471. Sat May 30 22:38:49 2026 read 18358479 cycles
  472. Sat May 30 22:39:35 2026 cycles contain 66967835 unique relations
  473. Sat May 30 22:43:13 2026 read 66967835 relations
  474. Sat May 30 22:43:39 2026 using 20 quadratic characters above 4294917295
  475. Sat May 30 22:44:06 2026 building initial matrix
  476. Sat May 30 23:03:53 2026 memory use: 9289.8 MB
  477. Sat May 30 23:04:04 2026 read 18358479 cycles
  478. Sat May 30 23:04:06 2026 matrix is 18358301 x 18358479 (8724.4 MB) with weight 2655348226 (144.64/col)
  479. Sat May 30 23:04:06 2026 sparse part has weight 2066750137 (112.58/col)
  480. Sat May 30 23:08:41 2026 filtering completed in 2 passes
  481. Sat May 30 23:08:47 2026 matrix is 18356614 x 18356788 (8724.2 MB) with weight 2655268295 (144.65/col)
  482. Sat May 30 23:08:47 2026 sparse part has weight 2066726409 (112.59/col)
  483. Sat May 30 23:10:00 2026 building matrix for density 140
  484. Sat May 30 23:10:02 2026 read 17480479 cycles
  485. Sat May 30 23:10:53 2026 cycles contain 66960338 unique relations
  486. Sat May 30 23:14:29 2026 read 66960338 relations
  487. Sat May 30 23:14:56 2026 using 20 quadratic characters above 4294917295
  488. Sat May 30 23:15:23 2026 building initial matrix
  489. Sat May 30 23:38:03 2026 memory use: 9317.6 MB
  490. Sat May 30 23:38:16 2026 read 17480479 cycles
  491. Sat May 30 23:38:18 2026 matrix is 17480301 x 17480479 (9440.1 MB) with weight 2849328959 (163.00/col)
  492. Sat May 30 23:38:18 2026 sparse part has weight 2264898426 (129.57/col)
  493. Sat May 30 23:43:19 2026 filtering completed in 2 passes
  494. Sat May 30 23:43:26 2026 matrix is 17480119 x 17480294 (9440.1 MB) with weight 2849319549 (163.00/col)
  495. Sat May 30 23:43:26 2026 sparse part has weight 2264895465 (129.57/col)
  496. Sat May 30 23:44:49 2026 BLanczosTime: 7461
  497. Sat May 30 23:44:49 2026 elapsed time 07:45:35
  498. Sun May 31 14:24:53 2026
  499. Sun May 31 14:24:53 2026
  500. Sun May 31 14:24:53 2026 Msieve v. 1.54 (SVN unknown)
  501. Sun May 31 14:24:53 2026 random seeds: 9f54017c 9858ddff
  502. Sun May 31 14:24:53 2026 Using 6 OpenMP threads
  503. Sun May 31 14:24:53 2026 factoring 2318588180901024580615375226552134229966306304298260258656541316067181264694423669977736410970520220657553865817050025588853344838297414811819090249108422560120575907597489517495516951 (184 digits)
  504. Sun May 31 14:24:53 2026 no P-1/P+1/ECM available, skipping
  505. Sun May 31 14:24:53 2026 commencing number field sieve (184-digit input)
  506. Sun May 31 14:24:53 2026 R0: -364500340672243101712114428288222724
  507. Sun May 31 14:24:53 2026 R1: 13640656653153944575327
  508. Sun May 31 14:24:53 2026 A0: -77799625086722093362461906727182247847659350
  509. Sun May 31 14:24:53 2026 A1: -2903169108189116654198388207626426515
  510. Sun May 31 14:24:53 2026 A2: 263196422401214612313556412592
  511. Sun May 31 14:24:53 2026 A3: 2739758272617172012711
  512. Sun May 31 14:24:53 2026 A4: -352985838234558
  513. Sun May 31 14:24:53 2026 A5: 2162160
  514. Sun May 31 14:24:53 2026 skew 38223728.28, size 7.845e-18, alpha -8.168, combined = 6.221e-14 rroots = 3
  515. Sun May 31 14:24:53 2026
  516. Sun May 31 14:24:53 2026 commencing linear algebra
  517. Sun May 31 14:24:53 2026 using VBITS=64
  518. Sun May 31 14:24:53 2026 skipping matrix build
  519. Sun May 31 14:25:24 2026 matrix starts at (0, 0)
  520. Sun May 31 14:25:29 2026 matrix is 21213925 x 21214102 (7240.1 MB) with weight 2247124363 (105.93/col)
  521. Sun May 31 14:25:29 2026 sparse part has weight 1643377653 (77.47/col)
  522. Sun May 31 14:25:29 2026 saving the first 48 matrix rows for later
  523. Sun May 31 14:25:33 2026 matrix includes 64 packed rows
  524. Sun May 31 14:25:35 2026 matrix is 21213877 x 21214102 (6994.4 MB) with weight 1821506037 (85.86/col)
  525. Sun May 31 14:25:35 2026 sparse part has weight 1621400883 (76.43/col)
  526. Sun May 31 14:25:36 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  527. Sun May 31 14:25:36 2026 selected card has CUDA arch 12.0
  528. Sun May 31 14:33:33 2026 commencing Lanczos iteration
  529. Sun May 31 14:33:35 2026 memory use: 14150.7 MB
  530. Sun May 31 14:36:13 2026 checking every 10000 dimensions, checkpointing every 450000 dimensions
  531. Sun May 31 14:37:44 2026 linear algebra at 0.1%, ETA 48h 6m
  532. Tue Jun 2 14:44:55 2026 lanczos halted after 335480 iterations (dim = 21213876)
  533. Tue Jun 2 14:45:14 2026 recovered 29 nontrivial dependencies
  534. Tue Jun 2 14:45:17 2026 BLanczosTime: 174024
  535. Tue Jun 2 14:45:17 2026 elapsed time 48:20:24
  536. Tue Jun 2 14:48:28 2026
  537. Tue Jun 2 14:48:28 2026
  538. Tue Jun 2 14:48:28 2026 Msieve v. 1.54 (SVN unknown)
  539. Tue Jun 2 14:48:28 2026 random seeds: da78780a caa0e325
  540. Tue Jun 2 14:48:28 2026 Using 8 OpenMP threads
  541. Tue Jun 2 14:48:28 2026 factoring 2318588180901024580615375226552134229966306304298260258656541316067181264694423669977736410970520220657553865817050025588853344838297414811819090249108422560120575907597489517495516951 (184 digits)
  542. Tue Jun 2 14:48:28 2026 no P-1/P+1/ECM available, skipping
  543. Tue Jun 2 14:48:28 2026 commencing number field sieve (184-digit input)
  544. Tue Jun 2 14:48:28 2026 R0: -364500340672243101712114428288222724
  545. Tue Jun 2 14:48:28 2026 R1: 13640656653153944575327
  546. Tue Jun 2 14:48:28 2026 A0: -77799625086722093362461906727182247847659350
  547. Tue Jun 2 14:48:28 2026 A1: -2903169108189116654198388207626426515
  548. Tue Jun 2 14:48:28 2026 A2: 263196422401214612313556412592
  549. Tue Jun 2 14:48:28 2026 A3: 2739758272617172012711
  550. Tue Jun 2 14:48:28 2026 A4: -352985838234558
  551. Tue Jun 2 14:48:28 2026 A5: 2162160
  552. Tue Jun 2 14:48:28 2026 skew 38223728.28, size 7.845e-18, alpha -8.168, combined = 6.221e-14 rroots = 3
  553. Tue Jun 2 14:48:28 2026
  554. Tue Jun 2 14:48:28 2026 commencing square root phase
  555. Tue Jun 2 14:48:28 2026 reading relations for dependency 1
  556. Tue Jun 2 14:48:48 2026 read 10608558 cycles
  557. Tue Jun 2 14:49:19 2026 cycles contain 33464568 unique relations
  558. Tue Jun 2 15:02:33 2026 read 33464568 relations
  559. Tue Jun 2 15:05:57 2026 multiplying 33464568 relations
  560. Tue Jun 2 15:12:16 2026 multiply complete, coefficients have about 2026.39 million bits
  561. Tue Jun 2 15:12:23 2026 initial square root is modulo 1229713501
  562. Tue Jun 2 15:26:29 2026 sqrtTime: 2281
  563. Tue Jun 2 15:26:29 2026 p83 factor: 53233147591038082784385634170560677669099162288496866233569424452594443022733445403
  564. Tue Jun 2 15:26:29 2026 p101 factor: 43555346355122611403639693430717780438291161954482049523637124972469171825872749683342502678733921717
  565. Tue Jun 2 15:26:29 2026 elapsed time 00:38:01
  566.  
Tags: math
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