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kyleaskine
Jul 2nd, 2026
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  1. Wed Jul 1 10:08:24 2026
  2. Wed Jul 1 10:08:24 2026
  3. Wed Jul 1 10:08:24 2026 Msieve v. 1.54 (SVN unknown)
  4. Wed Jul 1 10:08:24 2026 random seeds: 78860cd6 c2d87000
  5. Wed Jul 1 10:08:24 2026 Using 14 OpenMP threads
  6. Wed Jul 1 10:08:24 2026 factoring 2796548338317684135367280545892903108563405497310793567610317240595344770981242061971959406756692925798845802211100951445543043176455618157115940885614671977444350743574110544353289657627 (187 digits)
  7. Wed Jul 1 10:08:24 2026 no P-1/P+1/ECM available, skipping
  8. Wed Jul 1 10:08:24 2026 commencing number field sieve (187-digit input)
  9. Wed Jul 1 10:08:24 2026 R0: -1730541185395745470694323842770478841
  10. Wed Jul 1 10:08:24 2026 R1: 164589164601504746201587
  11. Wed Jul 1 10:08:24 2026 A0: 109414530536890378361471091860865982823954520
  12. Wed Jul 1 10:08:24 2026 A1: -8681332910193430313006181469868259282
  13. Wed Jul 1 10:08:24 2026 A2: -221265431901530156309048048133
  14. Wed Jul 1 10:08:24 2026 A3: 30098196794360212071497
  15. Wed Jul 1 10:08:24 2026 A4: 105562080850028
  16. Wed Jul 1 10:08:24 2026 A5: 720720
  17. Wed Jul 1 10:08:24 2026 skew 34192926.36, size 3.850e-18, alpha -8.353, combined = 4.043e-14 rroots = 1
  18. Wed Jul 1 10:08:24 2026
  19. Wed Jul 1 10:08:24 2026 commencing relation filtering
  20. Wed Jul 1 10:08:24 2026 setting 3 target densities:Wed Jul 1 10:08:24 2026 80Wed Jul 1 10:08:24 2026 100Wed Jul 1 10:08:24 2026 120Wed Jul 1 10:08:24 2026
  21. Wed Jul 1 10:08:24 2026 estimated available RAM is 78540.1 MB
  22. Wed Jul 1 10:08:24 2026 commencing duplicate removal, pass 1
  23. Wed Jul 1 10:09:09 2026 error -1 reading relation 41783977
  24. Wed Jul 1 10:09:10 2026 error -1 reading relation 42591219
  25. Wed Jul 1 10:09:17 2026 error -1 reading relation 48448476
  26. Wed Jul 1 10:09:24 2026 error -1 reading relation 56311843
  27. Wed Jul 1 10:09:28 2026 error -1 reading relation 59665285
  28. Wed Jul 1 10:09:29 2026 error -1 reading relation 61230014
  29. Wed Jul 1 10:09:36 2026 error -1 reading relation 67656823
  30. Wed Jul 1 10:09:46 2026 error -1 reading relation 77053193
  31. Wed Jul 1 10:09:46 2026 error -1 reading relation 77328990
  32. Wed Jul 1 10:09:59 2026 error -1 reading relation 90397653
  33. Wed Jul 1 10:10:30 2026 error -1 reading relation 115557047
  34. Wed Jul 1 10:10:32 2026 error -1 reading relation 117072401
  35. Wed Jul 1 10:10:33 2026 error -1 reading relation 118224352
  36. Wed Jul 1 10:10:40 2026 error -1 reading relation 124086107
  37. Wed Jul 1 10:10:41 2026 error -1 reading relation 124989767
  38. Wed Jul 1 10:10:42 2026 error -1 reading relation 125866109
  39. Wed Jul 1 10:10:57 2026 error -1 reading relation 143464095
  40. Wed Jul 1 10:11:32 2026 error -1 reading relation 166604133
  41. Wed Jul 1 10:12:08 2026 error -1 reading relation 193309993
  42. Wed Jul 1 10:12:12 2026 error -1 reading relation 196367569
  43. Wed Jul 1 10:12:58 2026 error -1 reading relation 229091541
  44. Wed Jul 1 10:13:01 2026 error -1 reading relation 230686393
  45. Wed Jul 1 10:13:03 2026 error -1 reading relation 231679824
  46. Wed Jul 1 10:13:09 2026 error -1 reading relation 234822323
  47. Wed Jul 1 10:13:22 2026 error -1 reading relation 242194831
  48. Wed Jul 1 10:13:32 2026 error -1 reading relation 250503570
  49. Wed Jul 1 10:13:36 2026 error -1 reading relation 252887111
  50. Wed Jul 1 10:13:41 2026 error -1 reading relation 255889932
  51. Wed Jul 1 10:13:58 2026 error -15 reading relation 267107411
  52. Wed Jul 1 10:14:51 2026 error -1 reading relation 293608323
  53. Wed Jul 1 10:14:59 2026 error -1 reading relation 297498512
  54. Wed Jul 1 10:15:00 2026 error -1 reading relation 298547007
  55. Wed Jul 1 10:15:44 2026 error -1 reading relation 320799377
  56. Wed Jul 1 10:16:09 2026 error -1 reading relation 331532938
  57. Wed Jul 1 10:16:13 2026 error -1 reading relation 333657449
  58. Wed Jul 1 10:16:23 2026 error -1 reading relation 337333120
  59. Wed Jul 1 10:16:39 2026 error -1 reading relation 344814688
  60. Wed Jul 1 10:16:55 2026 error -1 reading relation 352853408
  61. Wed Jul 1 10:17:02 2026 error -1 reading relation 356118008
  62. Wed Jul 1 10:17:06 2026 error -1 reading relation 358166084
  63. Wed Jul 1 10:18:13 2026 error -1 reading relation 390107873
  64. Wed Jul 1 10:18:24 2026 error -1 reading relation 396802985
  65. Wed Jul 1 10:18:33 2026 error -1 reading relation 402433348
  66. Wed Jul 1 10:18:50 2026 error -1 reading relation 413482089
  67. Wed Jul 1 10:18:59 2026 error -1 reading relation 419027478
  68. Wed Jul 1 10:18:59 2026 error -1 reading relation 419046974
  69. Wed Jul 1 10:19:02 2026 error -1 reading relation 421257233
  70. Wed Jul 1 10:19:39 2026 error -1 reading relation 441409016
  71. Wed Jul 1 10:19:42 2026 error -1 reading relation 445498249
  72. Wed Jul 1 10:19:46 2026 error -1 reading relation 449878301
  73. Wed Jul 1 10:19:46 2026 error -1 reading relation 450336672
  74. Wed Jul 1 10:19:46 2026 error -1 reading relation 450340978
  75. Wed Jul 1 10:19:59 2026 error -11 reading relation 464950794
  76. Wed Jul 1 10:20:01 2026 error -1 reading relation 466496675
  77. Wed Jul 1 10:20:08 2026 error -1 reading relation 470092176
  78. Wed Jul 1 10:20:14 2026 error -1 reading relation 474093544
  79. Wed Jul 1 10:20:27 2026 error -1 reading relation 481825033
  80. Wed Jul 1 10:20:27 2026 error -1 reading relation 481981946
  81. Wed Jul 1 10:20:39 2026 error -1 reading relation 488914876
  82. Wed Jul 1 10:20:39 2026 error -1 reading relation 488992073
  83. Wed Jul 1 10:20:43 2026 error -1 reading relation 492311609
  84. Wed Jul 1 10:20:43 2026 error -1 reading relation 492542092
  85. Wed Jul 1 10:21:07 2026 error -1 reading relation 507243240
  86. Wed Jul 1 10:21:10 2026 error -1 reading relation 508332835
  87. Wed Jul 1 10:21:10 2026 error -1 reading relation 508338978
  88. Wed Jul 1 10:21:14 2026 error -1 reading relation 511538924
  89. Wed Jul 1 10:21:27 2026 error -1 reading relation 518491269
  90. Wed Jul 1 10:21:27 2026 error -1 reading relation 518495366
  91. Wed Jul 1 10:21:39 2026 error -1 reading relation 525013638
  92. Wed Jul 1 10:22:00 2026 error -1 reading relation 534636576
  93. Wed Jul 1 10:22:20 2026 error -1 reading relation 544355719
  94. Wed Jul 1 10:22:23 2026 error -1 reading relation 545720890
  95. Wed Jul 1 10:22:38 2026 error -1 reading relation 551330133
  96. Wed Jul 1 10:22:38 2026 error -1 reading relation 551490799
  97. Wed Jul 1 10:22:38 2026 error -1 reading relation 551492956
  98. Wed Jul 1 10:22:38 2026 error -1 reading relation 551495188
  99. Wed Jul 1 10:22:38 2026 error -1 reading relation 551520780
  100. Wed Jul 1 10:22:38 2026 error -1 reading relation 551531574
  101. Wed Jul 1 10:22:39 2026 error -1 reading relation 551711452
  102. Wed Jul 1 10:22:42 2026 error -1 reading relation 552748050
  103. Wed Jul 1 10:22:44 2026 error -1 reading relation 553349119
  104. Wed Jul 1 10:22:56 2026 error -1 reading relation 557513894
  105. Wed Jul 1 10:23:06 2026 error -1 reading relation 560529284
  106. Wed Jul 1 10:23:07 2026 error -1 reading relation 560796979
  107. Wed Jul 1 10:23:19 2026 error -1 reading relation 565297678
  108. Wed Jul 1 10:23:41 2026 error -1 reading relation 572356862
  109. Wed Jul 1 10:23:47 2026 error -1 reading relation 574540434
  110. Wed Jul 1 10:23:50 2026 error -1 reading relation 575265707
  111. Wed Jul 1 10:24:33 2026 error -1 reading relation 586202981
  112. Wed Jul 1 10:24:36 2026 error -1 reading relation 587764187
  113. Wed Jul 1 10:24:39 2026 error -1 reading relation 588726055
  114. Wed Jul 1 10:24:40 2026 error -1 reading relation 589324698
  115. Wed Jul 1 10:24:58 2026 error -1 reading relation 598259309
  116. Wed Jul 1 10:25:41 2026 error -1 reading relation 612422815
  117. Wed Jul 1 10:25:51 2026 error -1 reading relation 617674116
  118. Wed Jul 1 10:25:51 2026 error -1 reading relation 617722325
  119. Wed Jul 1 10:26:12 2026 error -1 reading relation 627025438
  120. Wed Jul 1 10:26:19 2026 skipped 1 relations with b > 2^32
  121. Wed Jul 1 10:26:19 2026 skipped 6 relations with composite factors
  122. Wed Jul 1 10:26:19 2026 skipped 669 malformed relations
  123. Wed Jul 1 10:26:19 2026 found 124597225 hash collisions in 630796966 relations
  124. Wed Jul 1 10:26:32 2026 added 122194 free relations
  125. Wed Jul 1 10:26:32 2026 commencing duplicate removal, pass 2
  126. Wed Jul 1 10:43:25 2026 found 131078001 duplicates and 499841159 unique relations
  127. Wed Jul 1 10:43:25 2026 memory use: 3411.0 MB
  128. Wed Jul 1 10:43:25 2026 reading ideals above 266928128
  129. Wed Jul 1 10:43:25 2026 commencing singleton removal, initial pass
  130. Wed Jul 1 11:25:19 2026 memory use: 11024.0 MB
  131. Wed Jul 1 11:25:20 2026 reading all ideals from disk
  132. Wed Jul 1 11:26:12 2026 memory use: 13106.1 MB
  133. Wed Jul 1 11:27:16 2026 commencing in-memory singleton removal
  134. Wed Jul 1 11:27:20 2026 begin with 499841159 relations and 443553752 unique ideals
  135. Wed Jul 1 11:28:07 2026 reduce to 299449199 relations and 221132495 ideals in 15 passes
  136. Wed Jul 1 11:28:07 2026 max relations containing the same ideal: 32
  137. Wed Jul 1 11:28:18 2026 reading ideals above 720000
  138. Wed Jul 1 11:28:19 2026 commencing singleton removal, initial pass
  139. Wed Jul 1 12:05:00 2026 memory use: 6024.0 MB
  140. Wed Jul 1 12:05:01 2026 reading all ideals from disk
  141. Wed Jul 1 12:06:32 2026 memory use: 14842.5 MB
  142. Wed Jul 1 12:07:10 2026 keeping 248708499 ideals with weight <= 200, target excess is 1529359
  143. Wed Jul 1 12:07:50 2026 commencing in-memory singleton removal
  144. Wed Jul 1 12:07:54 2026 begin with 299449199 relations and 248708499 unique ideals
  145. Wed Jul 1 12:08:33 2026 reduce to 299442546 relations and 248701846 ideals in 9 passes
  146. Wed Jul 1 12:08:33 2026 max relations containing the same ideal: 200
  147. Wed Jul 1 12:11:06 2026 removing 14667436 relations and 12667436 ideals in 2000000 cliques
  148. Wed Jul 1 12:11:12 2026 commencing in-memory singleton removal
  149. Wed Jul 1 12:11:18 2026 begin with 284775110 relations and 248701846 unique ideals
  150. Wed Jul 1 12:11:54 2026 reduce to 284231567 relations and 235485739 ideals in 9 passes
  151. Wed Jul 1 12:11:54 2026 max relations containing the same ideal: 199
  152. Wed Jul 1 12:14:18 2026 removing 11047570 relations and 9047570 ideals in 2000000 cliques
  153. Wed Jul 1 12:14:25 2026 commencing in-memory singleton removal
  154. Wed Jul 1 12:14:30 2026 begin with 273183997 relations and 235485739 unique ideals
  155. Wed Jul 1 12:15:01 2026 reduce to 272841287 relations and 226092737 ideals in 8 passes
  156. Wed Jul 1 12:15:01 2026 max relations containing the same ideal: 197
  157. Wed Jul 1 12:17:19 2026 removing 9904320 relations and 7904320 ideals in 2000000 cliques
  158. Wed Jul 1 12:17:27 2026 commencing in-memory singleton removal
  159. Wed Jul 1 12:17:32 2026 begin with 262936967 relations and 226092737 unique ideals
  160. Wed Jul 1 12:17:58 2026 reduce to 262643062 relations and 217892232 ideals in 7 passes
  161. Wed Jul 1 12:17:58 2026 max relations containing the same ideal: 193
  162. Wed Jul 1 12:20:03 2026 removing 9267814 relations and 7267814 ideals in 2000000 cliques
  163. Wed Jul 1 12:20:09 2026 commencing in-memory singleton removal
  164. Wed Jul 1 12:20:14 2026 begin with 253375248 relations and 217892232 unique ideals
  165. Wed Jul 1 12:20:38 2026 reduce to 253107265 relations and 210354425 ideals in 7 passes
  166. Wed Jul 1 12:20:38 2026 max relations containing the same ideal: 188
  167. Wed Jul 1 12:22:40 2026 removing 8847895 relations and 6847895 ideals in 2000000 cliques
  168. Wed Jul 1 12:22:46 2026 commencing in-memory singleton removal
  169. Wed Jul 1 12:22:50 2026 begin with 244259370 relations and 210354425 unique ideals
  170. Wed Jul 1 12:23:13 2026 reduce to 244004160 relations and 203249474 ideals in 7 passes
  171. Wed Jul 1 12:23:13 2026 max relations containing the same ideal: 186
  172. Wed Jul 1 12:24:26 2026 removing 8547793 relations and 6547793 ideals in 2000000 cliques
  173. Wed Jul 1 12:24:30 2026 commencing in-memory singleton removal
  174. Wed Jul 1 12:24:33 2026 begin with 235456367 relations and 203249474 unique ideals
  175. Wed Jul 1 12:24:47 2026 reduce to 235209461 relations and 196452866 ideals in 7 passes
  176. Wed Jul 1 12:24:47 2026 max relations containing the same ideal: 181
  177. Wed Jul 1 12:26:22 2026 removing 8326187 relations and 6326187 ideals in 2000000 cliques
  178. Wed Jul 1 12:26:28 2026 commencing in-memory singleton removal
  179. Wed Jul 1 12:26:30 2026 begin with 226883274 relations and 196452866 unique ideals
  180. Wed Jul 1 12:26:53 2026 reduce to 226642403 relations and 189883867 ideals in 7 passes
  181. Wed Jul 1 12:26:53 2026 max relations containing the same ideal: 176
  182. Wed Jul 1 12:28:43 2026 removing 8158548 relations and 6158548 ideals in 2000000 cliques
  183. Wed Jul 1 12:28:49 2026 commencing in-memory singleton removal
  184. Wed Jul 1 12:28:53 2026 begin with 218483855 relations and 189883867 unique ideals
  185. Wed Jul 1 12:29:12 2026 reduce to 218243040 relations and 183482464 ideals in 7 passes
  186. Wed Jul 1 12:29:12 2026 max relations containing the same ideal: 174
  187. Wed Jul 1 12:30:55 2026 removing 8024128 relations and 6024128 ideals in 2000000 cliques
  188. Wed Jul 1 12:31:00 2026 commencing in-memory singleton removal
  189. Wed Jul 1 12:31:02 2026 begin with 210218912 relations and 183482464 unique ideals
  190. Wed Jul 1 12:31:22 2026 reduce to 209977591 relations and 177215108 ideals in 7 passes
  191. Wed Jul 1 12:31:22 2026 max relations containing the same ideal: 169
  192. Wed Jul 1 12:33:06 2026 removing 7922410 relations and 5922410 ideals in 2000000 cliques
  193. Wed Jul 1 12:33:12 2026 commencing in-memory singleton removal
  194. Wed Jul 1 12:33:15 2026 begin with 202055181 relations and 177215108 unique ideals
  195. Wed Jul 1 12:33:36 2026 reduce to 201810473 relations and 171045832 ideals in 7 passes
  196. Wed Jul 1 12:33:36 2026 max relations containing the same ideal: 164
  197. Wed Jul 1 12:35:15 2026 removing 7845854 relations and 5845854 ideals in 2000000 cliques
  198. Wed Jul 1 12:35:19 2026 commencing in-memory singleton removal
  199. Wed Jul 1 12:35:23 2026 begin with 193964619 relations and 171045832 unique ideals
  200. Wed Jul 1 12:35:38 2026 reduce to 193715018 relations and 164948030 ideals in 6 passes
  201. Wed Jul 1 12:35:38 2026 max relations containing the same ideal: 160
  202. Wed Jul 1 12:37:13 2026 removing 7787621 relations and 5787621 ideals in 2000000 cliques
  203. Wed Jul 1 12:37:17 2026 commencing in-memory singleton removal
  204. Wed Jul 1 12:37:21 2026 begin with 185927397 relations and 164948030 unique ideals
  205. Wed Jul 1 12:37:36 2026 reduce to 185672373 relations and 158902894 ideals in 6 passes
  206. Wed Jul 1 12:37:36 2026 max relations containing the same ideal: 156
  207. Wed Jul 1 12:39:05 2026 removing 7743915 relations and 5743915 ideals in 2000000 cliques
  208. Wed Jul 1 12:39:09 2026 commencing in-memory singleton removal
  209. Wed Jul 1 12:39:12 2026 begin with 177928458 relations and 158902894 unique ideals
  210. Wed Jul 1 12:39:30 2026 reduce to 177666836 relations and 152894665 ideals in 8 passes
  211. Wed Jul 1 12:39:30 2026 max relations containing the same ideal: 152
  212. Wed Jul 1 12:40:58 2026 removing 7720558 relations and 5720558 ideals in 2000000 cliques
  213. Wed Jul 1 12:41:03 2026 commencing in-memory singleton removal
  214. Wed Jul 1 12:41:06 2026 begin with 169946278 relations and 152894665 unique ideals
  215. Wed Jul 1 12:41:25 2026 reduce to 169676393 relations and 146901347 ideals in 8 passes
  216. Wed Jul 1 12:41:25 2026 max relations containing the same ideal: 147
  217. Wed Jul 1 12:42:50 2026 removing 7708955 relations and 5708955 ideals in 2000000 cliques
  218. Wed Jul 1 12:42:54 2026 commencing in-memory singleton removal
  219. Wed Jul 1 12:42:57 2026 begin with 161967438 relations and 146901347 unique ideals
  220. Wed Jul 1 12:43:13 2026 reduce to 161685782 relations and 140907723 ideals in 8 passes
  221. Wed Jul 1 12:43:13 2026 max relations containing the same ideal: 142
  222. Wed Jul 1 12:44:30 2026 removing 7713653 relations and 5713653 ideals in 2000000 cliques
  223. Wed Jul 1 12:44:34 2026 commencing in-memory singleton removal
  224. Wed Jul 1 12:44:36 2026 begin with 153972129 relations and 140907723 unique ideals
  225. Wed Jul 1 12:44:52 2026 reduce to 153675723 relations and 134894397 ideals in 7 passes
  226. Wed Jul 1 12:44:52 2026 max relations containing the same ideal: 139
  227. Wed Jul 1 12:46:07 2026 removing 7725034 relations and 5725034 ideals in 2000000 cliques
  228. Wed Jul 1 12:46:11 2026 commencing in-memory singleton removal
  229. Wed Jul 1 12:46:14 2026 begin with 145950689 relations and 134894397 unique ideals
  230. Wed Jul 1 12:46:28 2026 reduce to 145637438 relations and 128852434 ideals in 7 passes
  231. Wed Jul 1 12:46:28 2026 max relations containing the same ideal: 133
  232. Wed Jul 1 12:47:40 2026 removing 7754788 relations and 5754788 ideals in 2000000 cliques
  233. Wed Jul 1 12:47:43 2026 commencing in-memory singleton removal
  234. Wed Jul 1 12:47:45 2026 begin with 137882650 relations and 128852434 unique ideals
  235. Wed Jul 1 12:47:59 2026 reduce to 137549969 relations and 122760719 ideals in 7 passes
  236. Wed Jul 1 12:47:59 2026 max relations containing the same ideal: 128
  237. Wed Jul 1 12:49:04 2026 removing 7797949 relations and 5797949 ideals in 2000000 cliques
  238. Wed Jul 1 12:49:08 2026 commencing in-memory singleton removal
  239. Wed Jul 1 12:49:10 2026 begin with 129752020 relations and 122760719 unique ideals
  240. Wed Jul 1 12:49:24 2026 reduce to 129397174 relations and 116603356 ideals in 8 passes
  241. Wed Jul 1 12:49:24 2026 max relations containing the same ideal: 124
  242. Wed Jul 1 12:50:31 2026 removing 7854100 relations and 5854100 ideals in 2000000 cliques
  243. Wed Jul 1 12:50:35 2026 commencing in-memory singleton removal
  244. Wed Jul 1 12:50:35 2026 begin with 121543074 relations and 116603356 unique ideals
  245. Wed Jul 1 12:50:48 2026 reduce to 121160212 relations and 110361215 ideals in 8 passes
  246. Wed Jul 1 12:50:48 2026 max relations containing the same ideal: 119
  247. Wed Jul 1 12:51:47 2026 removing 7932325 relations and 5932325 ideals in 2000000 cliques
  248. Wed Jul 1 12:51:50 2026 commencing in-memory singleton removal
  249. Wed Jul 1 12:51:52 2026 begin with 113227887 relations and 110361215 unique ideals
  250. Wed Jul 1 12:52:03 2026 reduce to 112811621 relations and 104006644 ideals in 7 passes
  251. Wed Jul 1 12:52:03 2026 max relations containing the same ideal: 111
  252. Wed Jul 1 12:53:02 2026 removing 8027745 relations and 6027745 ideals in 2000000 cliques
  253. Wed Jul 1 12:53:06 2026 commencing in-memory singleton removal
  254. Wed Jul 1 12:53:07 2026 begin with 104783876 relations and 104006644 unique ideals
  255. Wed Jul 1 12:53:17 2026 reduce to 104321979 relations and 97509901 ideals in 8 passes
  256. Wed Jul 1 12:53:17 2026 max relations containing the same ideal: 105
  257. Wed Jul 1 12:54:08 2026 removing 8151561 relations and 6151561 ideals in 2000000 cliques
  258. Wed Jul 1 12:54:11 2026 commencing in-memory singleton removal
  259. Wed Jul 1 12:54:13 2026 begin with 96170418 relations and 97509901 unique ideals
  260. Wed Jul 1 12:54:21 2026 reduce to 95653059 relations and 90832466 ideals in 7 passes
  261. Wed Jul 1 12:54:21 2026 max relations containing the same ideal: 98
  262. Wed Jul 1 12:55:14 2026 removing 8297920 relations and 6297920 ideals in 2000000 cliques
  263. Wed Jul 1 12:55:17 2026 commencing in-memory singleton removal
  264. Wed Jul 1 12:55:18 2026 begin with 87355139 relations and 90832466 unique ideals
  265. Wed Jul 1 12:55:29 2026 reduce to 86767290 relations and 83936567 ideals in 9 passes
  266. Wed Jul 1 12:55:29 2026 max relations containing the same ideal: 93
  267. Wed Jul 1 12:56:13 2026 removing 5106862 relations and 4050196 ideals in 1056666 cliques
  268. Wed Jul 1 12:56:15 2026 commencing in-memory singleton removal
  269. Wed Jul 1 12:56:17 2026 begin with 81660428 relations and 83936567 unique ideals
  270. Wed Jul 1 12:56:25 2026 reduce to 81431166 relations and 79654755 ideals in 8 passes
  271. Wed Jul 1 12:56:25 2026 max relations containing the same ideal: 90
  272. Wed Jul 1 12:57:09 2026 trying target density 80
  273. Wed Jul 1 12:57:16 2026 relations with 0 large ideals: 5686
  274. Wed Jul 1 12:57:16 2026 relations with 1 large ideals: 21500
  275. Wed Jul 1 12:57:16 2026 relations with 2 large ideals: 333661
  276. Wed Jul 1 12:57:16 2026 relations with 3 large ideals: 2218972
  277. Wed Jul 1 12:57:16 2026 relations with 4 large ideals: 7949800
  278. Wed Jul 1 12:57:16 2026 relations with 5 large ideals: 16917844
  279. Wed Jul 1 12:57:16 2026 relations with 6 large ideals: 22425270
  280. Wed Jul 1 12:57:16 2026 relations with 7+ large ideals: 31558433
  281. Wed Jul 1 12:57:16 2026 commencing 2-way merge
  282. Wed Jul 1 12:58:13 2026 reduce to 49914948 relation sets and 48138537 unique ideals
  283. Wed Jul 1 12:58:13 2026 commencing full merge
  284. Wed Jul 1 13:13:52 2026 memory use: 5645.2 MB
  285. Wed Jul 1 13:14:03 2026 found 26077942 cycles, need 25832737
  286. Wed Jul 1 13:14:12 2026 weight of 25832737 cycles is about 2066809822 (80.01/cycle)
  287. Wed Jul 1 13:14:12 2026 distribution of cycle lengths:
  288. Wed Jul 1 13:14:12 2026 1 relations: 3271878
  289. Wed Jul 1 13:14:12 2026 2 relations: 2871232
  290. Wed Jul 1 13:14:12 2026 3 relations: 2893193
  291. Wed Jul 1 13:14:12 2026 4 relations: 2715280
  292. Wed Jul 1 13:14:12 2026 5 relations: 2613782
  293. Wed Jul 1 13:14:12 2026 6 relations: 2356968
  294. Wed Jul 1 13:14:12 2026 7 relations: 2115943
  295. Wed Jul 1 13:14:12 2026 8 relations: 1801864
  296. Wed Jul 1 13:14:12 2026 9 relations: 1470426
  297. Wed Jul 1 13:14:12 2026 10+ relations: 3722171
  298. Wed Jul 1 13:14:12 2026 heaviest cycle: 19 relations
  299. Wed Jul 1 13:14:20 2026 commencing cycle optimization
  300. Wed Jul 1 13:15:17 2026 start with 141954823 relations
  301. Wed Jul 1 13:19:26 2026 pruned 3314150 relations
  302. Wed Jul 1 13:19:29 2026 memory use: 4776.9 MB
  303. Wed Jul 1 13:19:30 2026 distribution of cycle lengths:
  304. Wed Jul 1 13:19:30 2026 1 relations: 3271878
  305. Wed Jul 1 13:19:30 2026 2 relations: 2933666
  306. Wed Jul 1 13:19:30 2026 3 relations: 2987030
  307. Wed Jul 1 13:19:30 2026 4 relations: 2783054
  308. Wed Jul 1 13:19:30 2026 5 relations: 2680969
  309. Wed Jul 1 13:19:30 2026 6 relations: 2402884
  310. Wed Jul 1 13:19:30 2026 7 relations: 2149042
  311. Wed Jul 1 13:19:30 2026 8 relations: 1806205
  312. Wed Jul 1 13:19:30 2026 9 relations: 1454861
  313. Wed Jul 1 13:19:30 2026 10+ relations: 3363148
  314. Wed Jul 1 13:19:30 2026 heaviest cycle: 19 relations
  315. Wed Jul 1 13:20:28 2026 trying target density 100
  316. Wed Jul 1 13:20:37 2026 relations with 0 large ideals: 5686
  317. Wed Jul 1 13:20:37 2026 relations with 1 large ideals: 21500
  318. Wed Jul 1 13:20:37 2026 relations with 2 large ideals: 333661
  319. Wed Jul 1 13:20:37 2026 relations with 3 large ideals: 2218972
  320. Wed Jul 1 13:20:37 2026 relations with 4 large ideals: 7949800
  321. Wed Jul 1 13:20:37 2026 relations with 5 large ideals: 16917844
  322. Wed Jul 1 13:20:37 2026 relations with 6 large ideals: 22425270
  323. Wed Jul 1 13:20:37 2026 relations with 7+ large ideals: 31558433
  324. Wed Jul 1 13:20:37 2026 commencing 2-way merge
  325. Wed Jul 1 13:21:26 2026 reduce to 49914948 relation sets and 48138537 unique ideals
  326. Wed Jul 1 13:21:26 2026 commencing full merge
  327. Wed Jul 1 13:40:30 2026 memory use: 5821.3 MB
  328. Wed Jul 1 13:40:41 2026 found 24031329 cycles, need 23802737
  329. Wed Jul 1 13:40:48 2026 weight of 23802737 cycles is about 2380640008 (100.02/cycle)
  330. Wed Jul 1 13:40:48 2026 distribution of cycle lengths:
  331. Wed Jul 1 13:40:48 2026 1 relations: 2302306
  332. Wed Jul 1 13:40:48 2026 2 relations: 2089596
  333. Wed Jul 1 13:40:48 2026 3 relations: 2135535
  334. Wed Jul 1 13:40:48 2026 4 relations: 2039239
  335. Wed Jul 1 13:40:48 2026 5 relations: 2029010
  336. Wed Jul 1 13:40:48 2026 6 relations: 1945054
  337. Wed Jul 1 13:40:48 2026 7 relations: 1836388
  338. Wed Jul 1 13:40:48 2026 8 relations: 1679092
  339. Wed Jul 1 13:40:48 2026 9 relations: 1510290
  340. Wed Jul 1 13:40:48 2026 10+ relations: 6236227
  341. Wed Jul 1 13:40:48 2026 heaviest cycle: 23 relations
  342. Wed Jul 1 13:40:57 2026 commencing cycle optimization
  343. Wed Jul 1 13:41:51 2026 start with 163063770 relations
  344. Wed Jul 1 13:47:39 2026 pruned 5107336 relations
  345. Wed Jul 1 13:47:42 2026 memory use: 5000.8 MB
  346. Wed Jul 1 13:47:42 2026 distribution of cycle lengths:
  347. Wed Jul 1 13:47:42 2026 1 relations: 2302306
  348. Wed Jul 1 13:47:42 2026 2 relations: 2140124
  349. Wed Jul 1 13:47:42 2026 3 relations: 2212261
  350. Wed Jul 1 13:47:42 2026 4 relations: 2104249
  351. Wed Jul 1 13:47:42 2026 5 relations: 2102814
  352. Wed Jul 1 13:47:42 2026 6 relations: 2004621
  353. Wed Jul 1 13:47:42 2026 7 relations: 1893739
  354. Wed Jul 1 13:47:42 2026 8 relations: 1718644
  355. Wed Jul 1 13:47:42 2026 9 relations: 1540068
  356. Wed Jul 1 13:47:42 2026 10+ relations: 5783911
  357. Wed Jul 1 13:47:42 2026 heaviest cycle: 23 relations
  358. Wed Jul 1 13:48:39 2026 trying target density 120
  359. Wed Jul 1 13:48:48 2026 relations with 0 large ideals: 5686
  360. Wed Jul 1 13:48:48 2026 relations with 1 large ideals: 21500
  361. Wed Jul 1 13:48:48 2026 relations with 2 large ideals: 333661
  362. Wed Jul 1 13:48:48 2026 relations with 3 large ideals: 2218972
  363. Wed Jul 1 13:48:48 2026 relations with 4 large ideals: 7949800
  364. Wed Jul 1 13:48:48 2026 relations with 5 large ideals: 16917844
  365. Wed Jul 1 13:48:48 2026 relations with 6 large ideals: 22425270
  366. Wed Jul 1 13:48:48 2026 relations with 7+ large ideals: 31558433
  367. Wed Jul 1 13:48:48 2026 commencing 2-way merge
  368. Wed Jul 1 13:49:37 2026 reduce to 49914948 relation sets and 48138537 unique ideals
  369. Wed Jul 1 13:49:37 2026 commencing full merge
  370. Wed Jul 1 14:12:42 2026 memory use: 5964.4 MB
  371. Wed Jul 1 14:12:51 2026 found 22548019 cycles, need 22396737
  372. Wed Jul 1 14:13:00 2026 weight of 22396737 cycles is about 2687630823 (120.00/cycle)
  373. Wed Jul 1 14:13:00 2026 distribution of cycle lengths:
  374. Wed Jul 1 14:13:00 2026 1 relations: 1671015
  375. Wed Jul 1 14:13:00 2026 2 relations: 1628479
  376. Wed Jul 1 14:13:00 2026 3 relations: 1668632
  377. Wed Jul 1 14:13:00 2026 4 relations: 1642040
  378. Wed Jul 1 14:13:00 2026 5 relations: 1634635
  379. Wed Jul 1 14:13:00 2026 6 relations: 1607803
  380. Wed Jul 1 14:13:00 2026 7 relations: 1546788
  381. Wed Jul 1 14:13:00 2026 8 relations: 1487890
  382. Wed Jul 1 14:13:00 2026 9 relations: 1394105
  383. Wed Jul 1 14:13:00 2026 10+ relations: 8115350
  384. Wed Jul 1 14:13:00 2026 heaviest cycle: 28 relations
  385. Wed Jul 1 14:13:06 2026 commencing cycle optimization
  386. Wed Jul 1 14:14:07 2026 start with 183482601 relations
  387. Wed Jul 1 14:22:36 2026 pruned 7009860 relations
  388. Wed Jul 1 14:22:36 2026 memory use: 5212.3 MB
  389. Wed Jul 1 14:22:36 2026 distribution of cycle lengths:
  390. Wed Jul 1 14:22:36 2026 1 relations: 1671015
  391. Wed Jul 1 14:22:36 2026 2 relations: 1668861
  392. Wed Jul 1 14:22:36 2026 3 relations: 1732994
  393. Wed Jul 1 14:22:36 2026 4 relations: 1699925
  394. Wed Jul 1 14:22:36 2026 5 relations: 1703084
  395. Wed Jul 1 14:22:36 2026 6 relations: 1668787
  396. Wed Jul 1 14:22:36 2026 7 relations: 1612122
  397. Wed Jul 1 14:22:36 2026 8 relations: 1542868
  398. Wed Jul 1 14:22:36 2026 9 relations: 1442796
  399. Wed Jul 1 14:22:36 2026 10+ relations: 7654285
  400. Wed Jul 1 14:22:36 2026 heaviest cycle: 28 relations
  401. Wed Jul 1 14:23:37 2026 RelProcTime: 15313
  402. Wed Jul 1 14:23:42 2026
  403. Wed Jul 1 14:23:42 2026 commencing linear algebra
  404. Wed Jul 1 14:23:42 2026 using VBITS=256
  405. Wed Jul 1 14:23:42 2026 building matrices for all densities
  406. Wed Jul 1 14:23:42 2026 found 3 density files
  407. Wed Jul 1 14:23:42 2026 building matrix for density 80
  408. Wed Jul 1 14:23:45 2026 read 25832737 cycles
  409. Wed Jul 1 14:24:34 2026 cycles contain 80274232 unique relations
  410. Wed Jul 1 14:35:21 2026 read 80274232 relations
  411. Wed Jul 1 14:36:56 2026 using 20 quadratic characters above 4294917295
  412. Wed Jul 1 14:37:41 2026 building initial matrix
  413. Wed Jul 1 14:56:01 2026 memory use: 11356.7 MB
  414. Wed Jul 1 14:56:58 2026 read 25832737 cycles
  415. Wed Jul 1 14:57:01 2026 matrix is 25832557 x 25832737 (8782.6 MB) with weight 2728005001 (105.60/col)
  416. Wed Jul 1 14:57:01 2026 sparse part has weight 1992311819 (77.12/col)
  417. Wed Jul 1 15:01:22 2026 filtering completed in 2 passes
  418. Wed Jul 1 15:01:29 2026 matrix is 25823412 x 25823591 (8781.9 MB) with weight 2727678005 (105.63/col)
  419. Wed Jul 1 15:01:29 2026 sparse part has weight 1992239913 (77.15/col)
  420. Wed Jul 1 15:02:28 2026 building matrix for density 100
  421. Wed Jul 1 15:02:28 2026 read 23802737 cycles
  422. Wed Jul 1 15:03:09 2026 cycles contain 80308882 unique relations
  423. Wed Jul 1 15:17:50 2026 read 80308882 relations
  424. Wed Jul 1 15:19:53 2026 using 20 quadratic characters above 4294917295
  425. Wed Jul 1 15:20:40 2026 building initial matrix
  426. Wed Jul 1 15:43:57 2026 memory use: 11372.6 MB
  427. Wed Jul 1 15:45:20 2026 read 23802737 cycles
  428. Wed Jul 1 15:45:23 2026 matrix is 23802558 x 23802737 (9706.5 MB) with weight 2985616875 (125.43/col)
  429. Wed Jul 1 15:45:23 2026 sparse part has weight 2258871354 (94.90/col)
  430. Wed Jul 1 15:49:32 2026 filtering completed in 2 passes
  431. Wed Jul 1 15:49:39 2026 matrix is 23798606 x 23798785 (9706.2 MB) with weight 2985448729 (125.45/col)
  432. Wed Jul 1 15:49:39 2026 sparse part has weight 2258826245 (94.91/col)
  433. Wed Jul 1 15:50:51 2026 building matrix for density 120
  434. Wed Jul 1 15:50:53 2026 read 22396737 cycles
  435. Wed Jul 1 15:51:42 2026 cycles contain 80318550 unique relations
  436. Wed Jul 1 16:01:50 2026 read 80318550 relations
  437. Wed Jul 1 16:02:44 2026 using 20 quadratic characters above 4294917295
  438. Wed Jul 1 16:03:20 2026 building initial matrix
  439. Wed Jul 1 16:22:29 2026 memory use: 11401.5 MB
  440. Wed Jul 1 16:23:36 2026 read 22396737 cycles
  441. Wed Jul 1 16:23:40 2026 matrix is 22396560 x 22396737 (10619.3 MB) with weight 3237200194 (144.54/col)
  442. Wed Jul 1 16:23:40 2026 sparse part has weight 2515031167 (112.29/col)
  443. Wed Jul 1 16:28:47 2026 filtering completed in 2 passes
  444. Wed Jul 1 16:28:54 2026 matrix is 22395128 x 22395304 (10619.2 MB) with weight 3237129521 (144.55/col)
  445. Wed Jul 1 16:28:54 2026 sparse part has weight 2515009652 (112.30/col)
  446. Wed Jul 1 16:30:01 2026 BLanczosTime: 7579
  447. Wed Jul 1 16:30:01 2026 elapsed time 06:21:37
  448. Thu Jul 2 00:26:10 2026
  449. Thu Jul 2 00:26:10 2026
  450. Thu Jul 2 00:26:10 2026 Msieve v. 1.54 (SVN unknown)
  451. Thu Jul 2 00:26:10 2026 random seeds: efd89757 01bc9a68
  452. Thu Jul 2 00:26:10 2026 Using 8 OpenMP threads
  453. Thu Jul 2 00:26:10 2026 factoring 2796548338317684135367280545892903108563405497310793567610317240595344770981242061971959406756692925798845802211100951445543043176455618157115940885614671977444350743574110544353289657627 (187 digits)
  454. Thu Jul 2 00:26:11 2026 no P-1/P+1/ECM available, skipping
  455. Thu Jul 2 00:26:11 2026 commencing number field sieve (187-digit input)
  456. Thu Jul 2 00:26:11 2026 R0: -1730541185395745470694323842770478841
  457. Thu Jul 2 00:26:11 2026 R1: 164589164601504746201587
  458. Thu Jul 2 00:26:11 2026 A0: 109414530536890378361471091860865982823954520
  459. Thu Jul 2 00:26:11 2026 A1: -8681332910193430313006181469868259282
  460. Thu Jul 2 00:26:11 2026 A2: -221265431901530156309048048133
  461. Thu Jul 2 00:26:11 2026 A3: 30098196794360212071497
  462. Thu Jul 2 00:26:11 2026 A4: 105562080850028
  463. Thu Jul 2 00:26:11 2026 A5: 720720
  464. Thu Jul 2 00:26:11 2026 skew 34192926.36, size 3.850e-18, alpha -8.353, combined = 4.043e-14 rroots = 1
  465. Thu Jul 2 00:26:11 2026
  466. Thu Jul 2 00:26:11 2026 commencing linear algebra
  467. Thu Jul 2 00:26:11 2026 using VBITS=256
  468. Thu Jul 2 00:26:11 2026 skipping matrix build
  469. Thu Jul 2 00:26:20 2026 matrix starts at (0, 0)
  470. Thu Jul 2 00:26:24 2026 matrix is 22395128 x 22395304 (10619.2 MB) with weight 3237129521 (144.55/col)
  471. Thu Jul 2 00:26:24 2026 sparse part has weight 2515009652 (112.30/col)
  472. Thu Jul 2 00:26:24 2026 saving the first 240 matrix rows for later
  473. Thu Jul 2 00:26:32 2026 matrix includes 256 packed rows
  474. Thu Jul 2 00:26:40 2026 matrix is 22394888 x 22395304 (9618.8 MB) with weight 2305377182 (102.94/col)
  475. Thu Jul 2 00:26:40 2026 sparse part has weight 2163186141 (96.59/col)
  476. Thu Jul 2 00:26:40 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  477. Thu Jul 2 00:26:40 2026 selected card has CUDA arch 12.0
  478. Thu Jul 2 00:26:44 2026 computed block_nnz 151924600 (L2 cache 100663296 bytes, average column weight 96.6)
  479. Thu Jul 2 00:26:44 2026 nonzeros per matrix block: 256000000
  480. Thu Jul 2 00:34:42 2026 commencing Lanczos iteration
  481. Thu Jul 2 00:34:44 2026 memory use: 23509.2 MB
  482. Thu Jul 2 00:35:05 2026 linear algebra at 0.1%, ETA 4h 3m
  483. Thu Jul 2 00:35:36 2026 checking every 90000 dimensions, checkpointing every 5490000 dimensions
  484. Thu Jul 2 04:46:03 2026 lanczos halted after 87743 iterations (dim = 22394888)
  485. Thu Jul 2 04:47:44 2026 recovered 35 nontrivial dependencies
  486. Thu Jul 2 04:47:45 2026 BLanczosTime: 15694
  487. Thu Jul 2 04:47:45 2026 elapsed time 04:21:35
  488. Thu Jul 2 06:57:05 2026
  489. Thu Jul 2 06:57:05 2026
  490. Thu Jul 2 06:57:05 2026 Msieve v. 1.54 (SVN unknown)
  491. Thu Jul 2 06:57:05 2026 random seeds: 5fc4c050 bcd43a00
  492. Thu Jul 2 06:57:05 2026 Using 14 OpenMP threads
  493. Thu Jul 2 06:57:05 2026 factoring 2796548338317684135367280545892903108563405497310793567610317240595344770981242061971959406756692925798845802211100951445543043176455618157115940885614671977444350743574110544353289657627 (187 digits)
  494. Thu Jul 2 06:57:05 2026 no P-1/P+1/ECM available, skipping
  495. Thu Jul 2 06:57:05 2026 commencing number field sieve (187-digit input)
  496. Thu Jul 2 06:57:05 2026 R0: -1730541185395745470694323842770478841
  497. Thu Jul 2 06:57:05 2026 R1: 164589164601504746201587
  498. Thu Jul 2 06:57:05 2026 A0: 109414530536890378361471091860865982823954520
  499. Thu Jul 2 06:57:05 2026 A1: -8681332910193430313006181469868259282
  500. Thu Jul 2 06:57:05 2026 A2: -221265431901530156309048048133
  501. Thu Jul 2 06:57:05 2026 A3: 30098196794360212071497
  502. Thu Jul 2 06:57:05 2026 A4: 105562080850028
  503. Thu Jul 2 06:57:05 2026 A5: 720720
  504. Thu Jul 2 06:57:05 2026 skew 34192926.36, size 3.850e-18, alpha -8.353, combined = 4.043e-14 rroots = 1
  505. Thu Jul 2 06:57:05 2026
  506. Thu Jul 2 06:57:05 2026 commencing square root phase
  507. Thu Jul 2 06:57:05 2026 reading relations for dependency 1
  508. Thu Jul 2 06:57:06 2026 read 11196015 cycles
  509. Thu Jul 2 06:57:21 2026 cycles contain 40160224 unique relations
  510. Thu Jul 2 07:00:22 2026 read 40160224 relations
  511. Thu Jul 2 07:02:40 2026 multiplying 40160224 relations
  512. Thu Jul 2 07:06:27 2026 multiply complete, coefficients have about 2411.90 million bits
  513. Thu Jul 2 07:06:31 2026 initial square root is modulo 256799
  514. Thu Jul 2 07:14:04 2026 GCD is N, no factor found
  515. Thu Jul 2 07:14:04 2026 reading relations for dependency 2
  516. Thu Jul 2 07:14:05 2026 read 11195828 cycles
  517. Thu Jul 2 07:14:17 2026 cycles contain 40152554 unique relations
  518. Thu Jul 2 07:17:56 2026 read 40152554 relations
  519. Thu Jul 2 07:19:43 2026 multiplying 40152554 relations
  520. Thu Jul 2 07:23:29 2026 multiply complete, coefficients have about 2411.45 million bits
  521. Thu Jul 2 07:23:33 2026 initial square root is modulo 256181
  522. Thu Jul 2 07:31:00 2026 sqrtTime: 2035
  523. Thu Jul 2 07:31:00 2026 p90 factor: 179980707325420461509965478999611811630997317125318137237062222611561531601877428363279603
  524. Thu Jul 2 07:31:00 2026 p98 factor: 15538045048691170796765265027025778405255574629582348147782952800888503475629165602622943716100409
  525. Thu Jul 2 07:31:00 2026 elapsed time 00:33:55
  526.  
Tags: math
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