kyleaskine

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Jul 25th, 2026
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  1. Sat Jul 25 13:14:01 2026
  2. Sat Jul 25 13:14:01 2026
  3. Sat Jul 25 13:14:01 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Jul 25 13:14:01 2026 random seeds: 2174c84c 2658b0b7
  5. Sat Jul 25 13:14:01 2026 Using 8 OpenMP threads
  6. Sat Jul 25 13:14:01 2026 factoring 550350473873359489153420090166225573620731068337557007945581779316376495530778964124069005695038577630927029838022967191649538126409332423447797687339231582278937128376089574513218548121462016581695906264486651447481415129988313417992353088401 (243 digits)
  7. Sat Jul 25 13:14:01 2026 no P-1/P+1/ECM available, skipping
  8. Sat Jul 25 13:14:01 2026 commencing number field sieve (243-digit input)
  9. Sat Jul 25 13:14:01 2026 R0: 3532871725192437591460404959576364495475208057762
  10. Sat Jul 25 13:14:01 2026 R1: -1879593499986749153862319
  11. Sat Jul 25 13:14:01 2026 A0: 1
  12. Sat Jul 25 13:14:01 2026 A1: 3
  13. Sat Jul 25 13:14:01 2026 A2: -3
  14. Sat Jul 25 13:14:01 2026 A3: -4
  15. Sat Jul 25 13:14:01 2026 A4: 1
  16. Sat Jul 25 13:14:01 2026 A5: 1
  17. Sat Jul 25 13:14:01 2026 skew 1.48, size 1.670e-16, alpha 2.379, combined = 2.886e-13 rroots = 5
  18. Sat Jul 25 13:14:01 2026
  19. Sat Jul 25 13:14:01 2026 commencing relation filtering
  20. Sat Jul 25 13:14:01 2026 setting 4 target densities:Sat Jul 25 13:14:01 2026 90Sat Jul 25 13:14:01 2026 110Sat Jul 25 13:14:01 2026 130Sat Jul 25 13:14:01 2026 140Sat Jul 25 13:14:01 2026
  21. Sat Jul 25 13:14:01 2026 estimated available RAM is 78540.1 MB
  22. Sat Jul 25 13:14:01 2026 commencing duplicate removal, pass 1
  23. Sat Jul 25 13:14:31 2026 error -1 reading relation 31019083
  24. Sat Jul 25 13:14:36 2026 error -1 reading relation 35995558
  25. Sat Jul 25 13:14:55 2026 error -1 reading relation 57539449
  26. Sat Jul 25 13:15:06 2026 error -1 reading relation 69886668
  27. Sat Jul 25 13:15:14 2026 error -15 reading relation 79708007
  28. Sat Jul 25 13:15:14 2026 error -1 reading relation 80052933
  29. Sat Jul 25 13:15:16 2026 error -1 reading relation 81317991
  30. Sat Jul 25 13:15:20 2026 error -1 reading relation 85522918
  31. Sat Jul 25 13:15:21 2026 error -1 reading relation 87377326
  32. Sat Jul 25 13:15:23 2026 error -1 reading relation 89481120
  33. Sat Jul 25 13:15:29 2026 error -1 reading relation 95170110
  34. Sat Jul 25 13:15:40 2026 error -1 reading relation 108051234
  35. Sat Jul 25 13:15:45 2026 error -1 reading relation 112933187
  36. Sat Jul 25 13:16:19 2026 error -15 reading relation 147978294
  37. Sat Jul 25 13:16:19 2026 error -15 reading relation 148644078
  38. Sat Jul 25 13:16:19 2026 error -1 reading relation 148644079
  39. Sat Jul 25 13:16:20 2026 error -15 reading relation 149424728
  40. Sat Jul 25 13:16:21 2026 error -1 reading relation 149696340
  41. Sat Jul 25 13:16:21 2026 error -15 reading relation 149774475
  42. Sat Jul 25 13:16:21 2026 error -15 reading relation 150448404
  43. Sat Jul 25 13:16:21 2026 error -1 reading relation 150461676
  44. Sat Jul 25 13:16:23 2026 error -15 reading relation 152268286
  45. Sat Jul 25 13:16:23 2026 error -11 reading relation 152279517
  46. Sat Jul 25 13:16:24 2026 error -1 reading relation 152662439
  47. Sat Jul 25 13:16:24 2026 error -15 reading relation 153226640
  48. Sat Jul 25 13:16:26 2026 error -15 reading relation 154822706
  49. Sat Jul 25 13:16:26 2026 error -1 reading relation 154822707
  50. Sat Jul 25 13:16:26 2026 error -15 reading relation 154833186
  51. Sat Jul 25 13:16:26 2026 error -1 reading relation 155137383
  52. Sat Jul 25 13:16:26 2026 error -1 reading relation 155139050
  53. Sat Jul 25 13:16:31 2026 error -15 reading relation 160210776
  54. Sat Jul 25 13:16:32 2026 error -1 reading relation 160969311
  55. Sat Jul 25 13:16:32 2026 error -15 reading relation 160983546
  56. Sat Jul 25 13:16:32 2026 error -15 reading relation 161128494
  57. Sat Jul 25 13:16:32 2026 error -1 reading relation 161147309
  58. Sat Jul 25 13:16:32 2026 error -1 reading relation 161148895
  59. Sat Jul 25 13:16:33 2026 error -15 reading relation 162450982
  60. Sat Jul 25 13:16:33 2026 error -15 reading relation 162471391
  61. Sat Jul 25 13:16:33 2026 error -15 reading relation 162476123
  62. Sat Jul 25 13:16:33 2026 error -1 reading relation 162485628
  63. Sat Jul 25 13:16:33 2026 error -1 reading relation 162485629
  64. Sat Jul 25 13:16:33 2026 error -15 reading relation 162494653
  65. Sat Jul 25 13:16:34 2026 error -15 reading relation 162974676
  66. Sat Jul 25 13:16:34 2026 error -15 reading relation 162976851
  67. Sat Jul 25 13:16:34 2026 error -1 reading relation 162976852
  68. Sat Jul 25 13:16:35 2026 error -1 reading relation 164134713
  69. Sat Jul 25 13:16:38 2026 error -1 reading relation 166960838
  70. Sat Jul 25 13:16:38 2026 error -1 reading relation 166960839
  71. Sat Jul 25 13:16:38 2026 error -15 reading relation 166975743
  72. Sat Jul 25 13:16:38 2026 error -1 reading relation 166975744
  73. Sat Jul 25 13:16:38 2026 error -1 reading relation 166978274
  74. Sat Jul 25 13:16:38 2026 error -1 reading relation 167183175
  75. Sat Jul 25 13:16:38 2026 error -15 reading relation 167192640
  76. Sat Jul 25 13:16:38 2026 error -1 reading relation 167192641
  77. Sat Jul 25 13:16:38 2026 error -15 reading relation 167197073
  78. Sat Jul 25 13:16:38 2026 error -1 reading relation 167197074
  79. Sat Jul 25 13:16:38 2026 error -15 reading relation 167209542
  80. Sat Jul 25 13:16:38 2026 error -1 reading relation 167209543
  81. Sat Jul 25 13:16:39 2026 error -1 reading relation 168394779
  82. Sat Jul 25 13:16:39 2026 error -1 reading relation 168408410
  83. Sat Jul 25 13:16:40 2026 error -1 reading relation 169133727
  84. Sat Jul 25 13:16:40 2026 error -1 reading relation 169137843
  85. Sat Jul 25 13:16:40 2026 error -1 reading relation 170012829
  86. Sat Jul 25 13:16:40 2026 error -15 reading relation 170022950
  87. Sat Jul 25 13:16:40 2026 error -15 reading relation 170025453
  88. Sat Jul 25 13:16:40 2026 error -15 reading relation 170051692
  89. Sat Jul 25 13:16:40 2026 error -1 reading relation 170315336
  90. Sat Jul 25 13:16:40 2026 error -1 reading relation 170328430
  91. Sat Jul 25 13:16:40 2026 error -1 reading relation 170524913
  92. Sat Jul 25 13:16:41 2026 error -15 reading relation 170826491
  93. Sat Jul 25 13:16:44 2026 error -1 reading relation 173935941
  94. Sat Jul 25 13:16:46 2026 error -11 reading relation 176083868
  95. Sat Jul 25 13:16:46 2026 error -1 reading relation 176094884
  96. Sat Jul 25 13:16:46 2026 error -15 reading relation 176112313
  97. Sat Jul 25 13:16:46 2026 error -1 reading relation 176209647
  98. Sat Jul 25 13:16:46 2026 error -1 reading relation 176217428
  99. Sat Jul 25 13:16:47 2026 error -15 reading relation 177126198
  100. Sat Jul 25 13:16:47 2026 error -1 reading relation 177213282
  101. Sat Jul 25 13:16:47 2026 error -1 reading relation 177216646
  102. Sat Jul 25 13:16:47 2026 error -1 reading relation 177235006
  103. Sat Jul 25 13:16:47 2026 error -15 reading relation 177408619
  104. Sat Jul 25 13:16:47 2026 error -1 reading relation 177408620
  105. Sat Jul 25 13:16:48 2026 error -1 reading relation 178045542
  106. Sat Jul 25 13:16:48 2026 error -1 reading relation 178374040
  107. Sat Jul 25 13:16:48 2026 error -15 reading relation 178380630
  108. Sat Jul 25 13:16:54 2026 error -5 reading relation 184397296
  109. Sat Jul 25 13:17:02 2026 error -1 reading relation 192382339
  110. Sat Jul 25 13:17:02 2026 error -1 reading relation 192701780
  111. Sat Jul 25 13:17:03 2026 error -1 reading relation 193532971
  112. Sat Jul 25 13:17:03 2026 error -1 reading relation 194100316
  113. Sat Jul 25 13:17:04 2026 error -11 reading relation 194726980
  114. Sat Jul 25 13:17:04 2026 error -1 reading relation 194843587
  115. Sat Jul 25 13:17:04 2026 error -1 reading relation 194845423
  116. Sat Jul 25 13:17:04 2026 error -1 reading relation 195287327
  117. Sat Jul 25 13:17:05 2026 error -15 reading relation 195377138
  118. Sat Jul 25 13:17:06 2026 error -1 reading relation 196639338
  119. Sat Jul 25 13:17:06 2026 error -1 reading relation 196715840
  120. Sat Jul 25 13:17:08 2026 error -1 reading relation 198353300
  121. Sat Jul 25 13:17:08 2026 error -15 reading relation 199264377
  122. Sat Jul 25 13:17:08 2026 error -1 reading relation 199264378
  123. Sat Jul 25 13:17:10 2026 error -1 reading relation 201011263
  124. Sat Jul 25 13:17:19 2026 error -1 reading relation 211586994
  125. Sat Jul 25 13:17:20 2026 error -1 reading relation 212756118
  126. Sat Jul 25 13:17:40 2026 error -1 reading relation 232951010
  127. Sat Jul 25 13:17:40 2026 error -1 reading relation 232951461
  128. Sat Jul 25 13:17:41 2026 error -1 reading relation 233519838
  129. Sat Jul 25 13:17:41 2026 error -1 reading relation 234196840
  130. Sat Jul 25 13:17:41 2026 error -1 reading relation 234228032
  131. Sat Jul 25 13:17:42 2026 error -15 reading relation 234267016
  132. Sat Jul 25 13:17:42 2026 error -1 reading relation 234280605
  133. Sat Jul 25 13:17:42 2026 error -15 reading relation 234992901
  134. Sat Jul 25 13:17:43 2026 error -15 reading relation 235319739
  135. Sat Jul 25 13:17:43 2026 error -11 reading relation 235319740
  136. Sat Jul 25 13:17:43 2026 error -1 reading relation 235320604
  137. Sat Jul 25 13:17:43 2026 error -1 reading relation 235323630
  138. Sat Jul 25 13:17:43 2026 error -15 reading relation 235333537
  139. Sat Jul 25 13:17:43 2026 error -1 reading relation 235333538
  140. Sat Jul 25 13:17:43 2026 error -1 reading relation 235357005
  141. Sat Jul 25 13:17:43 2026 error -15 reading relation 235370854
  142. Sat Jul 25 13:17:43 2026 error -1 reading relation 235370855
  143. Sat Jul 25 13:17:42 2026 error -1 reading relation 235780859
  144. Sat Jul 25 13:17:42 2026 error -1 reading relation 235793723
  145. Sat Jul 25 13:17:42 2026 error -1 reading relation 235950647
  146. Sat Jul 25 13:17:42 2026 error -1 reading relation 235950648
  147. Sat Jul 25 13:17:42 2026 error -1 reading relation 236195442
  148. Sat Jul 25 13:17:42 2026 error -15 reading relation 236596373
  149. Sat Jul 25 13:17:43 2026 error -15 reading relation 237158348
  150. Sat Jul 25 13:17:43 2026 error -1 reading relation 237518938
  151. Sat Jul 25 13:17:43 2026 error -1 reading relation 237539668
  152. Sat Jul 25 13:17:44 2026 error -15 reading relation 238171429
  153. Sat Jul 25 13:17:44 2026 error -1 reading relation 238171430
  154. Sat Jul 25 13:17:44 2026 error -1 reading relation 238281934
  155. Sat Jul 25 13:18:19 2026 error -1 reading relation 276485902
  156. Sat Jul 25 13:18:49 2026 error -1 reading relation 307590385
  157. Sat Jul 25 13:18:59 2026 error -1 reading relation 317163644
  158. Sat Jul 25 13:19:03 2026 error -1 reading relation 320489247
  159. Sat Jul 25 13:19:05 2026 error -1 reading relation 322931866
  160. Sat Jul 25 13:19:08 2026 skipped 163 relations with b > 2^32
  161. Sat Jul 25 13:19:08 2026 skipped 27 relations with composite factors
  162. Sat Jul 25 13:19:08 2026 skipped 435 malformed relations
  163. Sat Jul 25 13:19:08 2026 found 61486882 hash collisions in 325773451 relations
  164. Sat Jul 25 13:19:11 2026 added 2926300 free relations
  165. Sat Jul 25 13:19:11 2026 commencing duplicate removal, pass 2
  166. Sat Jul 25 13:21:54 2026 found 63954430 duplicates and 264745321 unique relations
  167. Sat Jul 25 13:21:54 2026 memory use: 1705.5 MB
  168. Sat Jul 25 13:21:54 2026 reading ideals above 720000
  169. Sat Jul 25 13:21:54 2026 commencing singleton removal, initial pass
  170. Sat Jul 25 13:33:18 2026 memory use: 6024.0 MB
  171. Sat Jul 25 13:33:18 2026 reading all ideals from disk
  172. Sat Jul 25 13:33:24 2026 memory use: 12455.9 MB
  173. Sat Jul 25 13:33:41 2026 keeping 242381765 ideals with weight <= 200, target excess is 1299137
  174. Sat Jul 25 13:34:02 2026 commencing in-memory singleton removal
  175. Sat Jul 25 13:34:05 2026 begin with 264745321 relations and 242381765 unique ideals
  176. Sat Jul 25 13:34:29 2026 reduce to 163145276 relations and 129867964 ideals in 14 passes
  177. Sat Jul 25 13:34:29 2026 max relations containing the same ideal: 152
  178. Sat Jul 25 13:35:20 2026 removing 11606944 relations and 9606944 ideals in 2000000 cliques
  179. Sat Jul 25 13:35:23 2026 commencing in-memory singleton removal
  180. Sat Jul 25 13:35:26 2026 begin with 151538332 relations and 129867964 unique ideals
  181. Sat Jul 25 13:35:38 2026 reduce to 150908997 relations and 119621447 ideals in 9 passes
  182. Sat Jul 25 13:35:38 2026 max relations containing the same ideal: 147
  183. Sat Jul 25 13:36:23 2026 removing 8824802 relations and 6824802 ideals in 2000000 cliques
  184. Sat Jul 25 13:36:26 2026 commencing in-memory singleton removal
  185. Sat Jul 25 13:36:27 2026 begin with 142084195 relations and 119621447 unique ideals
  186. Sat Jul 25 13:36:37 2026 reduce to 141665842 relations and 112372352 ideals in 8 passes
  187. Sat Jul 25 13:36:37 2026 max relations containing the same ideal: 142
  188. Sat Jul 25 13:37:16 2026 removing 7975034 relations and 5975034 ideals in 2000000 cliques
  189. Sat Jul 25 13:37:18 2026 commencing in-memory singleton removal
  190. Sat Jul 25 13:37:20 2026 begin with 133690808 relations and 112372352 unique ideals
  191. Sat Jul 25 13:37:28 2026 reduce to 133325201 relations and 106026675 ideals in 7 passes
  192. Sat Jul 25 13:37:28 2026 max relations containing the same ideal: 136
  193. Sat Jul 25 13:38:12 2026 removing 7526292 relations and 5526292 ideals in 2000000 cliques
  194. Sat Jul 25 13:38:15 2026 commencing in-memory singleton removal
  195. Sat Jul 25 13:38:17 2026 begin with 125798909 relations and 106026675 unique ideals
  196. Sat Jul 25 13:38:24 2026 reduce to 125457210 relations and 100153685 ideals in 6 passes
  197. Sat Jul 25 13:38:24 2026 max relations containing the same ideal: 130
  198. Sat Jul 25 13:39:04 2026 removing 7245545 relations and 5245545 ideals in 2000000 cliques
  199. Sat Jul 25 13:39:07 2026 commencing in-memory singleton removal
  200. Sat Jul 25 13:39:08 2026 begin with 118211665 relations and 100153685 unique ideals
  201. Sat Jul 25 13:39:15 2026 reduce to 117877751 relations and 94569277 ideals in 7 passes
  202. Sat Jul 25 13:39:15 2026 max relations containing the same ideal: 125
  203. Sat Jul 25 13:39:57 2026 removing 7058902 relations and 5058902 ideals in 2000000 cliques
  204. Sat Jul 25 13:40:00 2026 commencing in-memory singleton removal
  205. Sat Jul 25 13:40:02 2026 begin with 110818849 relations and 94569277 unique ideals
  206. Sat Jul 25 13:40:10 2026 reduce to 110487485 relations and 89173728 ideals in 7 passes
  207. Sat Jul 25 13:40:10 2026 max relations containing the same ideal: 120
  208. Sat Jul 25 13:40:41 2026 removing 6921624 relations and 4921624 ideals in 2000000 cliques
  209. Sat Jul 25 13:40:43 2026 commencing in-memory singleton removal
  210. Sat Jul 25 13:40:45 2026 begin with 103565861 relations and 89173728 unique ideals
  211. Sat Jul 25 13:40:51 2026 reduce to 103229559 relations and 83910256 ideals in 7 passes
  212. Sat Jul 25 13:40:51 2026 max relations containing the same ideal: 114
  213. Sat Jul 25 13:41:17 2026 removing 6827623 relations and 4827623 ideals in 2000000 cliques
  214. Sat Jul 25 13:41:20 2026 commencing in-memory singleton removal
  215. Sat Jul 25 13:41:21 2026 begin with 96401936 relations and 83910256 unique ideals
  216. Sat Jul 25 13:41:26 2026 reduce to 96055403 relations and 78729889 ideals in 7 passes
  217. Sat Jul 25 13:41:26 2026 max relations containing the same ideal: 108
  218. Sat Jul 25 13:41:51 2026 removing 6769181 relations and 4769181 ideals in 2000000 cliques
  219. Sat Jul 25 13:41:53 2026 commencing in-memory singleton removal
  220. Sat Jul 25 13:41:54 2026 begin with 89286222 relations and 78729889 unique ideals
  221. Sat Jul 25 13:42:00 2026 reduce to 88923989 relations and 73591586 ideals in 8 passes
  222. Sat Jul 25 13:42:00 2026 max relations containing the same ideal: 102
  223. Sat Jul 25 13:42:23 2026 removing 6734955 relations and 4734955 ideals in 2000000 cliques
  224. Sat Jul 25 13:42:25 2026 commencing in-memory singleton removal
  225. Sat Jul 25 13:42:26 2026 begin with 82189034 relations and 73591586 unique ideals
  226. Sat Jul 25 13:42:31 2026 reduce to 81805056 relations and 68464974 ideals in 7 passes
  227. Sat Jul 25 13:42:31 2026 max relations containing the same ideal: 98
  228. Sat Jul 25 13:42:52 2026 removing 6726212 relations and 4726212 ideals in 2000000 cliques
  229. Sat Jul 25 13:42:54 2026 commencing in-memory singleton removal
  230. Sat Jul 25 13:42:55 2026 begin with 75078844 relations and 68464974 unique ideals
  231. Sat Jul 25 13:43:00 2026 reduce to 74663280 relations and 63314194 ideals in 9 passes
  232. Sat Jul 25 13:43:00 2026 max relations containing the same ideal: 93
  233. Sat Jul 25 13:43:20 2026 removing 6741294 relations and 4741294 ideals in 2000000 cliques
  234. Sat Jul 25 13:43:21 2026 commencing in-memory singleton removal
  235. Sat Jul 25 13:43:22 2026 begin with 67921986 relations and 63314194 unique ideals
  236. Sat Jul 25 13:43:26 2026 reduce to 67464778 relations and 58104558 ideals in 7 passes
  237. Sat Jul 25 13:43:26 2026 max relations containing the same ideal: 85
  238. Sat Jul 25 13:43:45 2026 removing 6774827 relations and 4774827 ideals in 2000000 cliques
  239. Sat Jul 25 13:43:46 2026 commencing in-memory singleton removal
  240. Sat Jul 25 13:43:47 2026 begin with 60689951 relations and 58104558 unique ideals
  241. Sat Jul 25 13:43:49 2026 reduce to 60179120 relations and 52805592 ideals in 7 passes
  242. Sat Jul 25 13:43:49 2026 max relations containing the same ideal: 81
  243. Sat Jul 25 13:44:06 2026 removing 6842435 relations and 4842435 ideals in 2000000 cliques
  244. Sat Jul 25 13:44:08 2026 commencing in-memory singleton removal
  245. Sat Jul 25 13:44:08 2026 begin with 53336685 relations and 52805592 unique ideals
  246. Sat Jul 25 13:44:11 2026 reduce to 52755980 relations and 47365771 ideals in 8 passes
  247. Sat Jul 25 13:44:11 2026 max relations containing the same ideal: 76
  248. Sat Jul 25 13:44:25 2026 removing 6923341 relations and 4923341 ideals in 2000000 cliques
  249. Sat Jul 25 13:44:27 2026 commencing in-memory singleton removal
  250. Sat Jul 25 13:44:27 2026 begin with 45832639 relations and 47365771 unique ideals
  251. Sat Jul 25 13:44:30 2026 reduce to 45150048 relations and 41737140 ideals in 9 passes
  252. Sat Jul 25 13:44:30 2026 max relations containing the same ideal: 65
  253. Sat Jul 25 13:44:44 2026 removing 6760705 relations and 4854796 ideals in 1905909 cliques
  254. Sat Jul 25 13:44:45 2026 commencing in-memory singleton removal
  255. Sat Jul 25 13:44:46 2026 begin with 38389343 relations and 41737140 unique ideals
  256. Sat Jul 25 13:44:48 2026 reduce to 37623721 relations and 36088464 ideals in 9 passes
  257. Sat Jul 25 13:44:48 2026 max relations containing the same ideal: 60
  258. Sat Jul 25 13:44:59 2026 removing 214833 relations and 186575 ideals in 28258 cliques
  259. Sat Jul 25 13:44:59 2026 commencing in-memory singleton removal
  260. Sat Jul 25 13:45:00 2026 begin with 37408888 relations and 36088464 unique ideals
  261. Sat Jul 25 13:45:01 2026 reduce to 37408150 relations and 35901151 ideals in 5 passes
  262. Sat Jul 25 13:45:01 2026 max relations containing the same ideal: 60
  263. Sat Jul 25 13:45:01 2026 trying target density 90
  264. Sat Jul 25 13:45:04 2026 relations with 0 large ideals: 111356
  265. Sat Jul 25 13:45:04 2026 relations with 1 large ideals: 41687
  266. Sat Jul 25 13:45:04 2026 relations with 2 large ideals: 464342
  267. Sat Jul 25 13:45:04 2026 relations with 3 large ideals: 2343849
  268. Sat Jul 25 13:45:04 2026 relations with 4 large ideals: 6281638
  269. Sat Jul 25 13:45:04 2026 relations with 5 large ideals: 9817523
  270. Sat Jul 25 13:45:04 2026 relations with 6 large ideals: 10474597
  271. Sat Jul 25 13:45:04 2026 relations with 7+ large ideals: 7873158
  272. Sat Jul 25 13:45:04 2026 commencing 2-way merge
  273. Sat Jul 25 13:45:20 2026 reduce to 23753539 relation sets and 22246540 unique ideals
  274. Sat Jul 25 13:45:20 2026 commencing full merge
  275. Sat Jul 25 13:50:37 2026 memory use: 2796.8 MB
  276. Sat Jul 25 13:50:39 2026 found 11711743 cycles, need 11524740
  277. Sat Jul 25 13:50:42 2026 weight of 11524740 cycles is about 1037516897 (90.03/cycle)
  278. Sat Jul 25 13:50:42 2026 distribution of cycle lengths:
  279. Sat Jul 25 13:50:42 2026 1 relations: 916421
  280. Sat Jul 25 13:50:42 2026 2 relations: 1014450
  281. Sat Jul 25 13:50:42 2026 3 relations: 1045524
  282. Sat Jul 25 13:50:42 2026 4 relations: 1015882
  283. Sat Jul 25 13:50:42 2026 5 relations: 993117
  284. Sat Jul 25 13:50:42 2026 6 relations: 950686
  285. Sat Jul 25 13:50:42 2026 7 relations: 890900
  286. Sat Jul 25 13:50:42 2026 8 relations: 816238
  287. Sat Jul 25 13:50:42 2026 9 relations: 727162
  288. Sat Jul 25 13:50:42 2026 10+ relations: 3154360
  289. Sat Jul 25 13:50:42 2026 heaviest cycle: 26 relations
  290. Sat Jul 25 13:50:44 2026 commencing cycle optimization
  291. Sat Jul 25 13:51:00 2026 start with 81373054 relations
  292. Sat Jul 25 13:52:51 2026 pruned 2813208 relations
  293. Sat Jul 25 13:52:53 2026 memory use: 2369.4 MB
  294. Sat Jul 25 13:52:53 2026 distribution of cycle lengths:
  295. Sat Jul 25 13:52:53 2026 1 relations: 916421
  296. Sat Jul 25 13:52:53 2026 2 relations: 1033539
  297. Sat Jul 25 13:52:53 2026 3 relations: 1082312
  298. Sat Jul 25 13:52:53 2026 4 relations: 1050321
  299. Sat Jul 25 13:52:53 2026 5 relations: 1033650
  300. Sat Jul 25 13:52:53 2026 6 relations: 985546
  301. Sat Jul 25 13:52:53 2026 7 relations: 926078
  302. Sat Jul 25 13:52:53 2026 8 relations: 841601
  303. Sat Jul 25 13:52:53 2026 9 relations: 745742
  304. Sat Jul 25 13:52:53 2026 10+ relations: 2909530
  305. Sat Jul 25 13:52:53 2026 heaviest cycle: 25 relations
  306. Sat Jul 25 13:53:09 2026 trying target density 110
  307. Sat Jul 25 13:53:12 2026 relations with 0 large ideals: 111356
  308. Sat Jul 25 13:53:12 2026 relations with 1 large ideals: 41687
  309. Sat Jul 25 13:53:12 2026 relations with 2 large ideals: 464342
  310. Sat Jul 25 13:53:12 2026 relations with 3 large ideals: 2343849
  311. Sat Jul 25 13:53:12 2026 relations with 4 large ideals: 6281638
  312. Sat Jul 25 13:53:12 2026 relations with 5 large ideals: 9817523
  313. Sat Jul 25 13:53:12 2026 relations with 6 large ideals: 10474597
  314. Sat Jul 25 13:53:12 2026 relations with 7+ large ideals: 7873158
  315. Sat Jul 25 13:53:12 2026 commencing 2-way merge
  316. Sat Jul 25 13:53:27 2026 reduce to 23753539 relation sets and 22246540 unique ideals
  317. Sat Jul 25 13:53:27 2026 commencing full merge
  318. Sat Jul 25 14:00:04 2026 memory use: 2847.6 MB
  319. Sat Jul 25 14:00:05 2026 found 10909232 cycles, need 10802740
  320. Sat Jul 25 14:00:08 2026 weight of 10802740 cycles is about 1188734035 (110.04/cycle)
  321. Sat Jul 25 14:00:08 2026 distribution of cycle lengths:
  322. Sat Jul 25 14:00:08 2026 1 relations: 616833
  323. Sat Jul 25 14:00:08 2026 2 relations: 733440
  324. Sat Jul 25 14:00:08 2026 3 relations: 794299
  325. Sat Jul 25 14:00:08 2026 4 relations: 792967
  326. Sat Jul 25 14:00:08 2026 5 relations: 791328
  327. Sat Jul 25 14:00:08 2026 6 relations: 772340
  328. Sat Jul 25 14:00:08 2026 7 relations: 748912
  329. Sat Jul 25 14:00:08 2026 8 relations: 714021
  330. Sat Jul 25 14:00:08 2026 9 relations: 668576
  331. Sat Jul 25 14:00:08 2026 10+ relations: 4170024
  332. Sat Jul 25 14:00:08 2026 heaviest cycle: 28 relations
  333. Sat Jul 25 14:00:10 2026 commencing cycle optimization
  334. Sat Jul 25 14:00:26 2026 start with 93170393 relations
  335. Sat Jul 25 14:03:00 2026 pruned 3958325 relations
  336. Sat Jul 25 14:03:00 2026 memory use: 2490.2 MB
  337. Sat Jul 25 14:03:00 2026 distribution of cycle lengths:
  338. Sat Jul 25 14:03:00 2026 1 relations: 616833
  339. Sat Jul 25 14:03:00 2026 2 relations: 748136
  340. Sat Jul 25 14:03:00 2026 3 relations: 823722
  341. Sat Jul 25 14:03:00 2026 4 relations: 822739
  342. Sat Jul 25 14:03:00 2026 5 relations: 827535
  343. Sat Jul 25 14:03:00 2026 6 relations: 806776
  344. Sat Jul 25 14:03:00 2026 7 relations: 786104
  345. Sat Jul 25 14:03:00 2026 8 relations: 746689
  346. Sat Jul 25 14:03:00 2026 9 relations: 697614
  347. Sat Jul 25 14:03:00 2026 10+ relations: 3926592
  348. Sat Jul 25 14:03:00 2026 heaviest cycle: 28 relations
  349. Sat Jul 25 14:03:14 2026 trying target density 130
  350. Sat Jul 25 14:03:17 2026 relations with 0 large ideals: 111356
  351. Sat Jul 25 14:03:17 2026 relations with 1 large ideals: 41687
  352. Sat Jul 25 14:03:17 2026 relations with 2 large ideals: 464342
  353. Sat Jul 25 14:03:17 2026 relations with 3 large ideals: 2343849
  354. Sat Jul 25 14:03:17 2026 relations with 4 large ideals: 6281638
  355. Sat Jul 25 14:03:17 2026 relations with 5 large ideals: 9817523
  356. Sat Jul 25 14:03:17 2026 relations with 6 large ideals: 10474597
  357. Sat Jul 25 14:03:17 2026 relations with 7+ large ideals: 7873158
  358. Sat Jul 25 14:03:17 2026 commencing 2-way merge
  359. Sat Jul 25 14:03:30 2026 reduce to 23753539 relation sets and 22246540 unique ideals
  360. Sat Jul 25 14:03:30 2026 commencing full merge
  361. Sat Jul 25 14:15:28 2026 memory use: 1044.1 MB
  362. Sat Jul 25 14:15:28 2026 found 177017 cycles, need 5478337
  363. Sat Jul 25 14:15:28 2026 too few cycles, matrix probably cannot build
  364. Sat Jul 25 14:15:29 2026 RelProcTime: 3688
  365. Sat Jul 25 14:15:29 2026
  366. Sat Jul 25 14:15:29 2026 commencing linear algebra
  367. Sat Jul 25 14:15:29 2026 using VBITS=256
  368. Sat Jul 25 14:15:29 2026 building matrices for all densities
  369. Sat Jul 25 14:15:29 2026 found 2 density files
  370. Sat Jul 25 14:15:29 2026 building matrix for density 90
  371. Sat Jul 25 14:15:29 2026 read 11524740 cycles
  372. Sat Jul 25 14:15:42 2026 cycles contain 36502989 unique relations
  373. Sat Jul 25 14:17:50 2026 read 36502989 relations
  374. Sat Jul 25 14:17:59 2026 using 20 quadratic characters above 4294917295
  375. Sat Jul 25 14:18:11 2026 building initial matrix
  376. Sat Jul 25 14:22:21 2026 memory use: 4531.3 MB
  377. Sat Jul 25 14:22:25 2026 read 11524740 cycles
  378. Sat Jul 25 14:22:26 2026 matrix is 11524560 x 11524740 (4261.9 MB) with weight 1219376043 (105.81/col)
  379. Sat Jul 25 14:22:26 2026 sparse part has weight 990447134 (85.94/col)
  380. Sat Jul 25 14:23:44 2026 filtering completed in 2 passes
  381. Sat Jul 25 14:23:46 2026 matrix is 11521472 x 11521635 (4261.5 MB) with weight 1219268764 (105.82/col)
  382. Sat Jul 25 14:23:46 2026 sparse part has weight 990400981 (85.96/col)
  383. Sat Jul 25 14:24:04 2026 building matrix for density 110
  384. Sat Jul 25 14:24:05 2026 read 10802740 cycles
  385. Sat Jul 25 14:24:19 2026 cycles contain 36509512 unique relations
  386. Sat Jul 25 14:24:50 2026 read 36509512 relations
  387. Sat Jul 25 14:25:00 2026 using 20 quadratic characters above 4294917295
  388. Sat Jul 25 14:25:10 2026 building initial matrix
  389. Sat Jul 25 14:29:55 2026 memory use: 4550.6 MB
  390. Sat Jul 25 14:29:59 2026 read 10802740 cycles
  391. Sat Jul 25 14:30:00 2026 matrix is 10802563 x 10802740 (4723.0 MB) with weight 1345421733 (124.54/col)
  392. Sat Jul 25 14:30:00 2026 sparse part has weight 1119284419 (103.61/col)
  393. Sat Jul 25 14:31:11 2026 filtering completed in 2 passes
  394. Sat Jul 25 14:31:13 2026 matrix is 10801477 x 10801638 (4722.9 MB) with weight 1345377324 (124.55/col)
  395. Sat Jul 25 14:31:13 2026 sparse part has weight 1119263794 (103.62/col)
  396. Sat Jul 25 14:31:32 2026 BLanczosTime: 963
  397. Sat Jul 25 14:31:32 2026 elapsed time 01:17:31
  398. Sun Jul 26 00:12:15 2026
  399. Sun Jul 26 00:12:15 2026
  400. Sun Jul 26 00:12:15 2026 Msieve v. 1.54 (SVN unknown)
  401. Sun Jul 26 00:12:15 2026 random seeds: 24893b15 3047b601
  402. Sun Jul 26 00:12:15 2026 Using 8 OpenMP threads
  403. Sun Jul 26 00:12:15 2026 factoring 550350473873359489153420090166225573620731068337557007945581779316376495530778964124069005695038577630927029838022967191649538126409332423447797687339231582278937128376089574513218548121462016581695906264486651447481415129988313417992353088401 (243 digits)
  404. Sun Jul 26 00:12:16 2026 no P-1/P+1/ECM available, skipping
  405. Sun Jul 26 00:12:16 2026 commencing number field sieve (243-digit input)
  406. Sun Jul 26 00:12:16 2026 R0: 3532871725192437591460404959576364495475208057762
  407. Sun Jul 26 00:12:16 2026 R1: -1879593499986749153862319
  408. Sun Jul 26 00:12:16 2026 A0: 1
  409. Sun Jul 26 00:12:16 2026 A1: 3
  410. Sun Jul 26 00:12:16 2026 A2: -3
  411. Sun Jul 26 00:12:16 2026 A3: -4
  412. Sun Jul 26 00:12:16 2026 A4: 1
  413. Sun Jul 26 00:12:16 2026 A5: 1
  414. Sun Jul 26 00:12:16 2026 skew 1.48, size 1.670e-16, alpha 2.379, combined = 2.886e-13 rroots = 5
  415. Sun Jul 26 00:12:16 2026
  416. Sun Jul 26 00:12:16 2026 commencing linear algebra
  417. Sun Jul 26 00:12:16 2026 using VBITS=256
  418. Sun Jul 26 00:12:16 2026 skipping matrix build
  419. Sun Jul 26 00:12:19 2026 matrix starts at (0, 0)
  420. Sun Jul 26 00:12:20 2026 matrix is 10801477 x 10801638 (4722.9 MB) with weight 1345377324 (124.55/col)
  421. Sun Jul 26 00:12:20 2026 sparse part has weight 1119263794 (103.62/col)
  422. Sun Jul 26 00:12:20 2026 saving the first 240 matrix rows for later
  423. Sun Jul 26 00:12:22 2026 matrix includes 256 packed rows
  424. Sun Jul 26 00:12:25 2026 matrix is 10801237 x 10801638 (4355.9 MB) with weight 1021609162 (94.58/col)
  425. Sun Jul 26 00:12:25 2026 sparse part has weight 969044689 (89.71/col)
  426. Sun Jul 26 00:12:25 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  427. Sun Jul 26 00:12:25 2026 selected card has CUDA arch 12.0
  428. Sun Jul 26 00:12:26 2026 computed block_nnz 141105960 (L2 cache 100663296 bytes, average column weight 89.7)
  429. Sun Jul 26 00:12:26 2026 nonzeros per matrix block: 256000000
  430. Sun Jul 26 00:13:18 2026 commencing Lanczos iteration
  431. Sun Jul 26 00:13:19 2026 memory use: 10360.0 MB
  432. Sun Jul 26 00:13:27 2026 linear algebra at 0.3%, ETA 0h46m
  433. Sun Jul 26 00:13:38 2026 checking every 240000 dimensions, checkpointing every 14640000 dimensions
  434. Sun Jul 26 00:56:44 2026 lanczos halted after 42321 iterations (dim = 10801235)
  435. Sun Jul 26 00:57:19 2026 recovered 33 nontrivial dependencies
  436. Sun Jul 26 00:57:20 2026 BLanczosTime: 2704
  437. Sun Jul 26 00:57:20 2026 elapsed time 00:45:05
  438. Sat Jul 25 21:05:53 2026
  439. Sat Jul 25 21:05:53 2026
  440. Sat Jul 25 21:05:53 2026 Msieve v. 1.54 (SVN unknown)
  441. Sat Jul 25 21:05:53 2026 random seeds: 127bd29b 7f45467e
  442. Sat Jul 25 21:05:53 2026 factoring 550350473873359489153420090166225573620731068337557007945581779316376495530778964124069005695038577630927029838022967191649538126409332423447797687339231582278937128376089574513218548121462016581695906264486651447481415129988313417992353088401 (243 digits)
  443. Sat Jul 25 21:05:53 2026 no P-1/P+1/ECM available, skipping
  444. Sat Jul 25 21:05:53 2026 commencing number field sieve (243-digit input)
  445. Sat Jul 25 21:05:53 2026 R0: 3532871725192437591460404959576364495475208057762
  446. Sat Jul 25 21:05:53 2026 R1: -1879593499986749153862319
  447. Sat Jul 25 21:05:53 2026 A0: 1
  448. Sat Jul 25 21:05:53 2026 A1: 3
  449. Sat Jul 25 21:05:53 2026 A2: -3
  450. Sat Jul 25 21:05:53 2026 A3: -4
  451. Sat Jul 25 21:05:53 2026 A4: 1
  452. Sat Jul 25 21:05:53 2026 A5: 1
  453. Sat Jul 25 21:05:53 2026 skew 1.48, size 1.670e-16, alpha 2.379, combined = 2.886e-13 rroots = 5
  454. Sat Jul 25 21:05:53 2026
  455. Sat Jul 25 21:05:53 2026 commencing square root phase
  456. Sat Jul 25 21:05:53 2026 reading relations for dependency 1
  457. Sat Jul 25 21:05:55 2026 read 5402733 cycles
  458. Sat Jul 25 21:06:07 2026 cycles contain 18259814 unique relations
  459. Sat Jul 25 21:08:04 2026 read 18259814 relations
  460. Sat Jul 25 21:09:33 2026 multiplying 18259814 relations
  461. Sat Jul 25 21:15:29 2026 multiply complete, coefficients have about 459.32 million bits
  462. Sat Jul 25 21:15:30 2026 initial square root is modulo 174461789
  463. Sat Jul 25 21:21:40 2026 GCD is N, no factor found
  464. Sat Jul 25 21:21:40 2026 reading relations for dependency 2
  465. Sat Jul 25 21:21:41 2026 read 5398550 cycles
  466. Sat Jul 25 21:21:51 2026 cycles contain 18247918 unique relations
  467. Sat Jul 25 21:23:05 2026 read 18247918 relations
  468. Sat Jul 25 21:24:27 2026 multiplying 18247918 relations
  469. Sat Jul 25 21:30:11 2026 multiply complete, coefficients have about 459.03 million bits
  470. Sat Jul 25 21:30:12 2026 initial square root is modulo 172352303
  471. Sat Jul 25 21:36:24 2026 sqrtTime: 1831
  472. Sat Jul 25 21:36:24 2026 p75 factor: 180887279040048119018719475495794265776388275198481481065064514133315087141
  473. Sat Jul 25 21:36:24 2026 p169 factor: 3042505126916707513277346520410396528046762744190953917583108919618558124837516773912894785618435182496389502893375478874077739750029586459591493424215508275903550660861
  474. Sat Jul 25 21:36:24 2026 elapsed time 00:30:31
  475.  
Tags: math
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