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4_442p msieve.log

kyleaskine
Nov 9th, 2026
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  1. Sat Nov 7 08:30:53 2026
  2. Sat Nov 7 08:30:53 2026
  3. Sat Nov 7 08:30:53 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Nov 7 08:30:53 2026 random seeds: 884819c3 5381a7f8
  5. Sat Nov 7 08:30:53 2026 Using 14 OpenMP threads
  6. Sat Nov 7 08:30:53 2026 factoring 2436164000670022381522036056924436158600719930781336446338611219952442899485519307639873183295351398084200750614069986394862577577209615153121892486645361637605991212030277353635514579525499 (190 digits)
  7. Sat Nov 7 08:30:54 2026 no P-1/P+1/ECM available, skipping
  8. Sat Nov 7 08:30:54 2026 commencing number field sieve (190-digit input)
  9. Sat Nov 7 08:30:54 2026 R0: -5834367299105654798083178562768456331
  10. Sat Nov 7 08:30:54 2026 R1: 90141200814192491887793
  11. Sat Nov 7 08:30:54 2026 A0: 53421186933018788800855764337954033572118424
  12. Sat Nov 7 08:30:54 2026 A1: 10935217388148569064881288476080790150
  13. Sat Nov 7 08:30:54 2026 A2: -836483668368899022681375964469
  14. Sat Nov 7 08:30:54 2026 A3: -8091743288634018063007
  15. Sat Nov 7 08:30:54 2026 A4: 358032584873826
  16. Sat Nov 7 08:30:54 2026 A5: 2162160
  17. Sat Nov 7 08:30:54 2026 skew 47710798.60, size 2.409e-18, alpha -7.705, combined = 3.092e-14 rroots = 5
  18. Sat Nov 7 08:30:54 2026
  19. Sat Nov 7 08:30:54 2026 commencing relation filtering
  20. Sat Nov 7 08:30:54 2026 setting 2 target densities:Sat Nov 7 08:30:54 2026 110Sat Nov 7 08:30:54 2026 130Sat Nov 7 08:30:54 2026
  21. Sat Nov 7 08:30:54 2026 estimated available RAM is 78541.8 MB
  22. Sat Nov 7 08:30:54 2026 commencing duplicate removal, pass 1
  23. Sat Nov 7 08:32:16 2026 error -1 reading relation 75456086
  24. Sat Nov 7 08:32:19 2026 error -1 reading relation 77405432
  25. Sat Nov 7 08:32:28 2026 error -1 reading relation 87746070
  26. Sat Nov 7 08:32:28 2026 error -1 reading relation 87748429
  27. Sat Nov 7 08:32:30 2026 error -1 reading relation 91297636
  28. Sat Nov 7 08:32:33 2026 error -1 reading relation 94675447
  29. Sat Nov 7 08:32:34 2026 error -1 reading relation 95946466
  30. Sat Nov 7 08:32:35 2026 error -1 reading relation 98297461
  31. Sat Nov 7 08:32:43 2026 error -1 reading relation 104799246
  32. Sat Nov 7 08:33:04 2026 error -1 reading relation 123818421
  33. Sat Nov 7 08:33:10 2026 error -1 reading relation 128161218
  34. Sat Nov 7 08:33:17 2026 error -1 reading relation 133630119
  35. Sat Nov 7 08:33:17 2026 error -15 reading relation 133987302
  36. Sat Nov 7 08:34:25 2026 error -1 reading relation 195509490
  37. Sat Nov 7 08:34:29 2026 error -1 reading relation 200750758
  38. Sat Nov 7 08:34:48 2026 error -1 reading relation 219641712
  39. Sat Nov 7 08:34:49 2026 error -1 reading relation 221082640
  40. Sat Nov 7 08:34:49 2026 error -11 reading relation 221209473
  41. Sat Nov 7 08:34:51 2026 error -15 reading relation 222104692
  42. Sat Nov 7 08:34:51 2026 error -1 reading relation 222373380
  43. Sat Nov 7 08:34:51 2026 error -1 reading relation 222590222
  44. Sat Nov 7 08:34:52 2026 error -1 reading relation 222777469
  45. Sat Nov 7 08:34:52 2026 error -1 reading relation 222780757
  46. Sat Nov 7 08:34:52 2026 error -1 reading relation 223174033
  47. Sat Nov 7 08:34:52 2026 error -1 reading relation 223303086
  48. Sat Nov 7 08:34:52 2026 error -1 reading relation 223356932
  49. Sat Nov 7 08:34:56 2026 error -1 reading relation 226447276
  50. Sat Nov 7 08:35:05 2026 error -1 reading relation 235812593
  51. Sat Nov 7 08:35:27 2026 error -1 reading relation 253441888
  52. Sat Nov 7 08:35:32 2026 error -1 reading relation 259295876
  53. Sat Nov 7 08:35:35 2026 error -1 reading relation 262421110
  54. Sat Nov 7 08:35:46 2026 error -1 reading relation 269816110
  55. Sat Nov 7 08:35:52 2026 error -1 reading relation 272799201
  56. Sat Nov 7 08:35:59 2026 error -1 reading relation 278336957
  57. Sat Nov 7 08:36:07 2026 error -1 reading relation 284012987
  58. Sat Nov 7 08:36:11 2026 error -1 reading relation 287501373
  59. Sat Nov 7 08:36:12 2026 error -1 reading relation 288249717
  60. Sat Nov 7 08:36:25 2026 error -1 reading relation 299048335
  61. Sat Nov 7 08:36:36 2026 error -1 reading relation 311456320
  62. Sat Nov 7 08:36:37 2026 error -1 reading relation 312754746
  63. Sat Nov 7 08:36:48 2026 error -1 reading relation 322324392
  64. Sat Nov 7 08:36:50 2026 error -1 reading relation 323855462
  65. Sat Nov 7 08:36:52 2026 error -1 reading relation 326077757
  66. Sat Nov 7 08:36:56 2026 error -1 reading relation 329096355
  67. Sat Nov 7 08:36:58 2026 error -1 reading relation 330576028
  68. Sat Nov 7 08:37:02 2026 error -1 reading relation 334817281
  69. Sat Nov 7 08:37:06 2026 error -1 reading relation 337934886
  70. Sat Nov 7 08:37:12 2026 error -1 reading relation 342451298
  71. Sat Nov 7 08:37:23 2026 error -1 reading relation 350929976
  72. Sat Nov 7 08:37:47 2026 error -1 reading relation 373273521
  73. Sat Nov 7 08:37:48 2026 error -1 reading relation 374423642
  74. Sat Nov 7 08:37:51 2026 error -1 reading relation 377093643
  75. Sat Nov 7 08:38:00 2026 error -1 reading relation 385271447
  76. Sat Nov 7 08:38:06 2026 error -1 reading relation 389978562
  77. Sat Nov 7 08:38:17 2026 error -1 reading relation 398126556
  78. Sat Nov 7 08:38:29 2026 error -1 reading relation 410502154
  79. Sat Nov 7 08:38:40 2026 error -1 reading relation 422940414
  80. Sat Nov 7 08:38:57 2026 error -1 reading relation 436616957
  81. Sat Nov 7 08:38:58 2026 error -1 reading relation 437298108
  82. Sat Nov 7 08:38:58 2026 error -1 reading relation 437766338
  83. Sat Nov 7 08:39:15 2026 error -1 reading relation 453385678
  84. Sat Nov 7 08:39:19 2026 error -11 reading relation 456628304
  85. Sat Nov 7 08:39:25 2026 error -15 reading relation 463798420
  86. Sat Nov 7 08:39:25 2026 error -1 reading relation 463798421
  87. Sat Nov 7 08:39:31 2026 error -1 reading relation 469885306
  88. Sat Nov 7 08:39:48 2026 error -1 reading relation 485168696
  89. Sat Nov 7 08:39:49 2026 error -1 reading relation 486398745
  90. Sat Nov 7 08:39:50 2026 error -1 reading relation 487244222
  91. Sat Nov 7 08:39:51 2026 error -1 reading relation 488238451
  92. Sat Nov 7 08:39:53 2026 error -1 reading relation 489488417
  93. Sat Nov 7 08:39:55 2026 error -1 reading relation 491195213
  94. Sat Nov 7 08:39:57 2026 error -1 reading relation 492998484
  95. Sat Nov 7 08:39:59 2026 error -1 reading relation 494489490
  96. Sat Nov 7 08:40:01 2026 error -1 reading relation 495915877
  97. Sat Nov 7 08:40:02 2026 error -1 reading relation 497877635
  98. Sat Nov 7 08:40:21 2026 error -1 reading relation 513413612
  99. Sat Nov 7 08:40:27 2026 error -1 reading relation 519478810
  100. Sat Nov 7 08:40:29 2026 error -1 reading relation 521983905
  101. Sat Nov 7 08:40:31 2026 error -1 reading relation 526262865
  102. Sat Nov 7 08:40:32 2026 error -1 reading relation 527667866
  103. Sat Nov 7 08:40:32 2026 error -1 reading relation 527694673
  104. Sat Nov 7 08:40:34 2026 error -1 reading relation 529257101
  105. Sat Nov 7 08:40:41 2026 error -1 reading relation 534621380
  106. Sat Nov 7 08:41:03 2026 error -1 reading relation 555338204
  107. Sat Nov 7 08:41:15 2026 error -1 reading relation 565793111
  108. Sat Nov 7 08:41:16 2026 error -5 reading relation 566247492
  109. Sat Nov 7 08:41:18 2026 error -1 reading relation 568113675
  110. Sat Nov 7 08:41:19 2026 error -1 reading relation 569099265
  111. Sat Nov 7 08:41:21 2026 error -1 reading relation 570428790
  112. Sat Nov 7 08:41:22 2026 error -1 reading relation 571575778
  113. Sat Nov 7 08:41:25 2026 error -1 reading relation 574167543
  114. Sat Nov 7 08:41:29 2026 error -1 reading relation 578594928
  115. Sat Nov 7 08:41:31 2026 error -1 reading relation 580422201
  116. Sat Nov 7 08:41:32 2026 error -1 reading relation 581723490
  117. Sat Nov 7 08:41:33 2026 error -1 reading relation 586032055
  118. Sat Nov 7 08:41:41 2026 error -1 reading relation 595170478
  119. Sat Nov 7 08:41:43 2026 error -1 reading relation 596999920
  120. Sat Nov 7 08:41:46 2026 error -1 reading relation 599694971
  121. Sat Nov 7 08:41:53 2026 error -1 reading relation 606249234
  122. Sat Nov 7 08:41:58 2026 error -1 reading relation 610130108
  123. Sat Nov 7 08:41:58 2026 error -1 reading relation 610342282
  124. Sat Nov 7 08:41:58 2026 error -5 reading relation 610829396
  125. Sat Nov 7 08:42:01 2026 error -1 reading relation 613358149
  126. Sat Nov 7 08:42:01 2026 error -1 reading relation 615346509
  127. Sat Nov 7 08:42:03 2026 error -1 reading relation 617485813
  128. Sat Nov 7 08:42:03 2026 error -1 reading relation 617487201
  129. Sat Nov 7 08:42:05 2026 error -1 reading relation 619052968
  130. Sat Nov 7 08:42:07 2026 error -1 reading relation 620972521
  131. Sat Nov 7 08:42:07 2026 error -1 reading relation 620980594
  132. Sat Nov 7 08:42:07 2026 error -1 reading relation 621090812
  133. Sat Nov 7 08:42:07 2026 error -1 reading relation 621096196
  134. Sat Nov 7 08:42:10 2026 error -1 reading relation 623068733
  135. Sat Nov 7 08:42:16 2026 error -1 reading relation 628433127
  136. Sat Nov 7 08:42:18 2026 error -1 reading relation 630046392
  137. Sat Nov 7 08:42:20 2026 error -1 reading relation 631524589
  138. Sat Nov 7 08:42:21 2026 error -1 reading relation 633205955
  139. Sat Nov 7 08:42:22 2026 error -1 reading relation 633421018
  140. Sat Nov 7 08:42:25 2026 error -1 reading relation 636993364
  141. Sat Nov 7 08:42:27 2026 error -1 reading relation 638181462
  142. Sat Nov 7 08:42:28 2026 error -1 reading relation 639582123
  143. Sat Nov 7 08:42:34 2026 error -1 reading relation 647213181
  144. Sat Nov 7 08:42:35 2026 error -5 reading relation 648222886
  145. Sat Nov 7 08:42:42 2026 error -1 reading relation 656346671
  146. Sat Nov 7 08:42:42 2026 error -1 reading relation 656605785
  147. Sat Nov 7 08:42:43 2026 error -1 reading relation 657443181
  148. Sat Nov 7 08:42:45 2026 error -1 reading relation 659670861
  149. Sat Nov 7 08:42:45 2026 error -1 reading relation 659774347
  150. Sat Nov 7 08:42:46 2026 error -1 reading relation 661163196
  151. Sat Nov 7 08:42:51 2026 error -1 reading relation 666460513
  152. Sat Nov 7 08:42:52 2026 skipped 4 relations with composite factors
  153. Sat Nov 7 08:42:52 2026 skipped 1016 malformed relations
  154. Sat Nov 7 08:42:52 2026 found 156135486 hash collisions in 666963882 relations
  155. Sat Nov 7 08:42:52 2026 cached 666965031 relation coordinates for pass 2 (10689.1 MB)
  156. Sat Nov 7 08:43:04 2026 added 121284 free relations
  157. Sat Nov 7 08:43:04 2026 commencing duplicate removal, pass 2
  158. Sat Nov 7 08:46:05 2026 found 164941379 duplicates and 502143787 unique relations
  159. Sat Nov 7 08:46:05 2026 memory use: 6616.0 MB
  160. Sat Nov 7 08:46:07 2026 reading ideals above 281214976
  161. Sat Nov 7 08:46:07 2026 commencing singleton removal, initial pass
  162. Sat Nov 7 08:57:14 2026 LP64 contains 502143787 relations and 454823051 unique large ideals
  163. Sat Nov 7 08:57:14 2026 memory use: 16872.0 MB
  164. Sat Nov 7 08:57:17 2026 preparing 64-bit LP file for common filtering
  165. Sat Nov 7 08:57:17 2026 start with 502143787 relations and 454823051 ideals
  166. Sat Nov 7 08:58:33 2026 compacted LP dataset has 502143787 relations and 454823051 large ideals
  167. Sat Nov 7 08:58:33 2026 reading all ideals from disk
  168. Sat Nov 7 08:58:39 2026 memory use: 13282.8 MB
  169. Sat Nov 7 08:58:45 2026 commencing in-memory singleton removal
  170. Sat Nov 7 08:58:53 2026 begin with 502143787 relations and 454823051 unique ideals
  171. Sat Nov 7 08:58:53 2026 memory use: 3486.0 MB
  172. Sat Nov 7 08:59:11 2026 reduce to 297768133 relations and 227535351 ideals in 4 passes
  173. Sat Nov 7 08:59:11 2026 max relations containing the same ideal: 32
  174. Sat Nov 7 08:59:35 2026 reading ideals above 720000
  175. Sat Nov 7 08:59:36 2026 commencing singleton removal, initial pass
  176. Sat Nov 7 09:05:25 2026 LP64 contains 297768133 relations and 257996240 unique large ideals
  177. Sat Nov 7 09:05:25 2026 memory use: 9036.0 MB
  178. Sat Nov 7 09:05:26 2026 preparing 64-bit LP file for common filtering
  179. Sat Nov 7 09:05:26 2026 start with 297768133 relations and 257996240 ideals
  180. Sat Nov 7 09:06:16 2026 compacted LP dataset has 297768133 relations and 257996240 large ideals
  181. Sat Nov 7 09:06:16 2026 reading all ideals from disk
  182. Sat Nov 7 09:06:26 2026 memory use: 14845.1 MB
  183. Sat Nov 7 09:06:33 2026 keeping 256588744 ideals with weight <= 200, target excess is 1523687
  184. Sat Nov 7 09:07:04 2026 commencing in-memory singleton removal
  185. Sat Nov 7 09:07:12 2026 begin with 297768133 relations and 256588744 unique ideals
  186. Sat Nov 7 09:07:12 2026 memory use: 1973.6 MB
  187. Sat Nov 7 09:07:15 2026 reduce to 297755785 relations and 256576396 ideals in 1 passes
  188. Sat Nov 7 09:07:15 2026 max relations containing the same ideal: 200
  189. Sat Nov 7 09:08:56 2026 removing 16338526 relations and 14338526 ideals in 2000000 cliques
  190. Sat Nov 7 09:08:58 2026 commencing in-memory singleton removal
  191. Sat Nov 7 09:09:07 2026 begin with 281417259 relations and 256576396 unique ideals
  192. Sat Nov 7 09:09:07 2026 memory use: 1973.5 MB
  193. Sat Nov 7 09:09:11 2026 reduce to 280687520 relations and 241501042 ideals in 1 passes
  194. Sat Nov 7 09:09:11 2026 max relations containing the same ideal: 199
  195. Sat Nov 7 09:10:45 2026 removing 12196748 relations and 10196748 ideals in 2000000 cliques
  196. Sat Nov 7 09:10:45 2026 commencing in-memory singleton removal
  197. Sat Nov 7 09:10:52 2026 begin with 268490772 relations and 241501042 unique ideals
  198. Sat Nov 7 09:10:52 2026 memory use: 1858.5 MB
  199. Sat Nov 7 09:10:56 2026 reduce to 268041757 relations and 230851616 ideals in 1 passes
  200. Sat Nov 7 09:10:56 2026 max relations containing the same ideal: 195
  201. Sat Nov 7 09:12:26 2026 removing 10893242 relations and 8893242 ideals in 2000000 cliques
  202. Sat Nov 7 09:12:27 2026 commencing in-memory singleton removal
  203. Sat Nov 7 09:12:35 2026 begin with 257148515 relations and 230851616 unique ideals
  204. Sat Nov 7 09:12:35 2026 memory use: 1777.3 MB
  205. Sat Nov 7 09:12:39 2026 reduce to 256768451 relations and 221575483 ideals in 1 passes
  206. Sat Nov 7 09:12:39 2026 max relations containing the same ideal: 192
  207. Sat Nov 7 09:14:04 2026 removing 10182481 relations and 8182481 ideals in 2000000 cliques
  208. Sat Nov 7 09:14:05 2026 commencing in-memory singleton removal
  209. Sat Nov 7 09:14:13 2026 begin with 246585970 relations and 221575483 unique ideals
  210. Sat Nov 7 09:14:13 2026 memory use: 1706.5 MB
  211. Sat Nov 7 09:14:16 2026 reduce to 246239913 relations and 213044323 ideals in 1 passes
  212. Sat Nov 7 09:14:16 2026 max relations containing the same ideal: 187
  213. Sat Nov 7 09:15:37 2026 removing 9717272 relations and 7717272 ideals in 2000000 cliques
  214. Sat Nov 7 09:15:39 2026 commencing in-memory singleton removal
  215. Sat Nov 7 09:15:46 2026 begin with 236522641 relations and 213044323 unique ideals
  216. Sat Nov 7 09:15:46 2026 memory use: 1641.4 MB
  217. Sat Nov 7 09:15:47 2026 reduce to 236194106 relations and 204995854 ideals in 1 passes
  218. Sat Nov 7 09:15:47 2026 max relations containing the same ideal: 183
  219. Sat Nov 7 09:17:12 2026 removing 9384502 relations and 7384502 ideals in 2000000 cliques
  220. Sat Nov 7 09:17:13 2026 commencing in-memory singleton removal
  221. Sat Nov 7 09:17:18 2026 begin with 226809604 relations and 204995854 unique ideals
  222. Sat Nov 7 09:17:18 2026 memory use: 1580.0 MB
  223. Sat Nov 7 09:17:21 2026 reduce to 226490580 relations and 197289767 ideals in 1 passes
  224. Sat Nov 7 09:17:21 2026 max relations containing the same ideal: 181
  225. Sat Nov 7 09:18:45 2026 removing 9138416 relations and 7138416 ideals in 2000000 cliques
  226. Sat Nov 7 09:18:47 2026 commencing in-memory singleton removal
  227. Sat Nov 7 09:18:51 2026 begin with 217352164 relations and 197289767 unique ideals
  228. Sat Nov 7 09:18:51 2026 memory use: 1521.2 MB
  229. Sat Nov 7 09:18:55 2026 reduce to 217037890 relations and 189834386 ideals in 1 passes
  230. Sat Nov 7 09:18:55 2026 max relations containing the same ideal: 175
  231. Sat Nov 7 09:20:11 2026 removing 8958037 relations and 6958037 ideals in 2000000 cliques
  232. Sat Nov 7 09:20:12 2026 commencing in-memory singleton removal
  233. Sat Nov 7 09:20:18 2026 begin with 208079853 relations and 189834386 unique ideals
  234. Sat Nov 7 09:20:18 2026 memory use: 1464.3 MB
  235. Sat Nov 7 09:20:19 2026 reduce to 207764084 relations and 182557951 ideals in 1 passes
  236. Sat Nov 7 09:20:19 2026 max relations containing the same ideal: 170
  237. Sat Nov 7 09:21:38 2026 removing 8825025 relations and 6825025 ideals in 2000000 cliques
  238. Sat Nov 7 09:21:39 2026 commencing in-memory singleton removal
  239. Sat Nov 7 09:21:45 2026 begin with 198939059 relations and 182557951 unique ideals
  240. Sat Nov 7 09:21:45 2026 memory use: 1408.8 MB
  241. Sat Nov 7 09:21:48 2026 reduce to 198622691 relations and 175413734 ideals in 1 passes
  242. Sat Nov 7 09:21:48 2026 max relations containing the same ideal: 167
  243. Sat Nov 7 09:23:00 2026 removing 8724914 relations and 6724914 ideals in 2000000 cliques
  244. Sat Nov 7 09:23:01 2026 commencing in-memory singleton removal
  245. Sat Nov 7 09:23:06 2026 begin with 189897777 relations and 175413734 unique ideals
  246. Sat Nov 7 09:23:06 2026 memory use: 1354.3 MB
  247. Sat Nov 7 09:23:09 2026 reduce to 189573762 relations and 168361935 ideals in 1 passes
  248. Sat Nov 7 09:23:09 2026 max relations containing the same ideal: 160
  249. Sat Nov 7 09:24:14 2026 removing 8650909 relations and 6650909 ideals in 2000000 cliques
  250. Sat Nov 7 09:24:16 2026 commencing in-memory singleton removal
  251. Sat Nov 7 09:24:21 2026 begin with 180922853 relations and 168361935 unique ideals
  252. Sat Nov 7 09:24:21 2026 memory use: 1300.5 MB
  253. Sat Nov 7 09:24:21 2026 reduce to 180587995 relations and 161372962 ideals in 1 passes
  254. Sat Nov 7 09:24:21 2026 max relations containing the same ideal: 155
  255. Sat Nov 7 09:25:23 2026 removing 8605341 relations and 6605341 ideals in 2000000 cliques
  256. Sat Nov 7 09:25:24 2026 commencing in-memory singleton removal
  257. Sat Nov 7 09:25:29 2026 begin with 171982654 relations and 161372962 unique ideals
  258. Sat Nov 7 09:25:29 2026 memory use: 1247.2 MB
  259. Sat Nov 7 09:25:31 2026 reduce to 171635220 relations and 154416723 ideals in 1 passes
  260. Sat Nov 7 09:25:31 2026 max relations containing the same ideal: 151
  261. Sat Nov 7 09:26:29 2026 removing 8583724 relations and 6583724 ideals in 2000000 cliques
  262. Sat Nov 7 09:26:31 2026 commencing in-memory singleton removal
  263. Sat Nov 7 09:26:35 2026 begin with 163051496 relations and 154416723 unique ideals
  264. Sat Nov 7 09:26:35 2026 memory use: 1194.1 MB
  265. Sat Nov 7 09:26:37 2026 reduce to 162688439 relations and 147466186 ideals in 1 passes
  266. Sat Nov 7 09:26:37 2026 max relations containing the same ideal: 145
  267. Sat Nov 7 09:27:33 2026 removing 8578787 relations and 6578787 ideals in 2000000 cliques
  268. Sat Nov 7 09:27:34 2026 commencing in-memory singleton removal
  269. Sat Nov 7 09:27:38 2026 begin with 154109652 relations and 147466186 unique ideals
  270. Sat Nov 7 09:27:38 2026 memory use: 1141.1 MB
  271. Sat Nov 7 09:27:40 2026 reduce to 153726734 relations and 140500386 ideals in 1 passes
  272. Sat Nov 7 09:27:40 2026 max relations containing the same ideal: 141
  273. Sat Nov 7 09:28:33 2026 removing 8602390 relations and 6602390 ideals in 2000000 cliques
  274. Sat Nov 7 09:28:34 2026 commencing in-memory singleton removal
  275. Sat Nov 7 09:28:38 2026 begin with 145124344 relations and 140500386 unique ideals
  276. Sat Nov 7 09:28:38 2026 memory use: 1087.9 MB
  277. Sat Nov 7 09:28:40 2026 reduce to 144718783 relations and 133487888 ideals in 1 passes
  278. Sat Nov 7 09:28:40 2026 max relations containing the same ideal: 135
  279. Sat Nov 7 09:29:29 2026 removing 8642858 relations and 6642858 ideals in 2000000 cliques
  280. Sat Nov 7 09:29:30 2026 commencing in-memory singleton removal
  281. Sat Nov 7 09:29:34 2026 begin with 136075925 relations and 133487888 unique ideals
  282. Sat Nov 7 09:29:34 2026 memory use: 1034.4 MB
  283. Sat Nov 7 09:29:35 2026 reduce to 135637710 relations and 126401639 ideals in 1 passes
  284. Sat Nov 7 09:29:35 2026 max relations containing the same ideal: 130
  285. Sat Nov 7 09:30:24 2026 removing 8706748 relations and 6706748 ideals in 2000000 cliques
  286. Sat Nov 7 09:30:23 2026 commencing in-memory singleton removal
  287. Sat Nov 7 09:30:26 2026 begin with 126930962 relations and 126401639 unique ideals
  288. Sat Nov 7 09:30:26 2026 memory use: 980.4 MB
  289. Sat Nov 7 09:30:28 2026 reduce to 126456203 relations and 119214104 ideals in 1 passes
  290. Sat Nov 7 09:30:28 2026 max relations containing the same ideal: 124
  291. Sat Nov 7 09:31:13 2026 removing 8796277 relations and 6796277 ideals in 2000000 cliques
  292. Sat Nov 7 09:31:14 2026 commencing in-memory singleton removal
  293. Sat Nov 7 09:31:18 2026 begin with 117659926 relations and 119214104 unique ideals
  294. Sat Nov 7 09:31:18 2026 memory use: 925.5 MB
  295. Sat Nov 7 09:31:19 2026 reduce to 117140626 relations and 111891545 ideals in 1 passes
  296. Sat Nov 7 09:31:19 2026 max relations containing the same ideal: 118
  297. Sat Nov 7 09:31:59 2026 removing 8916342 relations and 6916342 ideals in 2000000 cliques
  298. Sat Nov 7 09:32:00 2026 commencing in-memory singleton removal
  299. Sat Nov 7 09:32:03 2026 begin with 108224284 relations and 111891545 unique ideals
  300. Sat Nov 7 09:32:03 2026 memory use: 869.7 MB
  301. Sat Nov 7 09:32:04 2026 reduce to 107639059 relations and 104381411 ideals in 1 passes
  302. Sat Nov 7 09:32:04 2026 max relations containing the same ideal: 108
  303. Sat Nov 7 09:32:47 2026 removing 7169879 relations and 5679708 ideals in 1490171 cliques
  304. Sat Nov 7 09:32:48 2026 commencing in-memory singleton removal
  305. Sat Nov 7 09:32:50 2026 begin with 100469180 relations and 104381411 unique ideals
  306. Sat Nov 7 09:32:50 2026 memory use: 812.4 MB
  307. Sat Nov 7 09:32:52 2026 reduce to 100067903 relations and 98295559 ideals in 1 passes
  308. Sat Nov 7 09:32:52 2026 max relations containing the same ideal: 102
  309. Sat Nov 7 09:33:31 2026 trying target density 110
  310. Sat Nov 7 09:33:32 2026 relations with 0 large ideals: 5680
  311. Sat Nov 7 09:33:32 2026 relations with 1 large ideals: 19075
  312. Sat Nov 7 09:33:32 2026 relations with 2 large ideals: 308456
  313. Sat Nov 7 09:33:32 2026 relations with 3 large ideals: 2165712
  314. Sat Nov 7 09:33:32 2026 relations with 4 large ideals: 8297208
  315. Sat Nov 7 09:33:32 2026 relations with 5 large ideals: 18976430
  316. Sat Nov 7 09:33:32 2026 relations with 6 large ideals: 27104637
  317. Sat Nov 7 09:33:32 2026 relations with 7+ large ideals: 43190705
  318. Sat Nov 7 09:33:32 2026 commencing 2-way merge
  319. Sat Nov 7 09:34:31 2026 reduce to 61094664 relation sets and 59322320 unique ideals
  320. Sat Nov 7 09:34:31 2026 commencing full merge
  321. Sat Nov 7 09:49:41 2026 memory use: 7313.5 MB
  322. Sat Nov 7 09:49:41 2026 found 27964525 cycles, need 27794520
  323. Sat Nov 7 09:49:44 2026 weight of 27794520 cycles is about 3057649237 (110.01/cycle)
  324. Sat Nov 7 09:49:44 2026 distribution of cycle lengths:
  325. Sat Nov 7 09:49:44 2026 1 relations: 2467952
  326. Sat Nov 7 09:49:44 2026 2 relations: 2241298
  327. Sat Nov 7 09:49:44 2026 3 relations: 2263254
  328. Sat Nov 7 09:49:44 2026 4 relations: 2208854
  329. Sat Nov 7 09:49:44 2026 5 relations: 2175212
  330. Sat Nov 7 09:49:44 2026 6 relations: 2043863
  331. Sat Nov 7 09:49:44 2026 7 relations: 1978639
  332. Sat Nov 7 09:49:44 2026 8 relations: 1833928
  333. Sat Nov 7 09:49:44 2026 9 relations: 1681255
  334. Sat Nov 7 09:49:44 2026 10+ relations: 8900265
  335. Sat Nov 7 09:49:44 2026 heaviest cycle: 27 relations
  336. Sat Nov 7 09:49:43 2026 commencing cycle optimization
  337. Sat Nov 7 09:50:17 2026 start with 211666500 relations
  338. Sat Nov 7 09:54:32 2026 pruned 7122303 relations
  339. Sat Nov 7 09:54:32 2026 memory use: 6555.0 MB
  340. Sat Nov 7 09:54:32 2026 distribution of cycle lengths:
  341. Sat Nov 7 09:54:32 2026 1 relations: 2467952
  342. Sat Nov 7 09:54:32 2026 2 relations: 2296929
  343. Sat Nov 7 09:54:32 2026 3 relations: 2349175
  344. Sat Nov 7 09:54:32 2026 4 relations: 2281273
  345. Sat Nov 7 09:54:32 2026 5 relations: 2254261
  346. Sat Nov 7 09:54:32 2026 6 relations: 2112175
  347. Sat Nov 7 09:54:32 2026 7 relations: 2044015
  348. Sat Nov 7 09:54:32 2026 8 relations: 1881788
  349. Sat Nov 7 09:54:32 2026 9 relations: 1722187
  350. Sat Nov 7 09:54:32 2026 10+ relations: 8384765
  351. Sat Nov 7 09:54:32 2026 heaviest cycle: 27 relations
  352. Sat Nov 7 09:55:02 2026 trying target density 130
  353. Sat Nov 7 09:55:02 2026 relations with 0 large ideals: 5680
  354. Sat Nov 7 09:55:02 2026 relations with 1 large ideals: 19075
  355. Sat Nov 7 09:55:02 2026 relations with 2 large ideals: 308456
  356. Sat Nov 7 09:55:02 2026 relations with 3 large ideals: 2165712
  357. Sat Nov 7 09:55:02 2026 relations with 4 large ideals: 8297208
  358. Sat Nov 7 09:55:02 2026 relations with 5 large ideals: 18976430
  359. Sat Nov 7 09:55:02 2026 relations with 6 large ideals: 27104637
  360. Sat Nov 7 09:55:02 2026 relations with 7+ large ideals: 43190705
  361. Sat Nov 7 09:55:02 2026 commencing 2-way merge
  362. Sat Nov 7 09:55:46 2026 reduce to 61094664 relation sets and 59322320 unique ideals
  363. Sat Nov 7 09:55:46 2026 commencing full merge
  364. Sat Nov 7 10:39:26 2026 memory use: 2757.3 MB
  365. Sat Nov 7 10:39:26 2026 found 338265 cycles, need 13082887
  366. Sat Nov 7 10:39:26 2026 too few cycles, matrix probably cannot build
  367. Sat Nov 7 10:39:29 2026 RelProcTime: 7715
  368. Sat Nov 7 10:39:29 2026
  369. Sat Nov 7 10:39:29 2026 commencing linear algebra
  370. Sat Nov 7 10:39:29 2026 using VBITS=256
  371. Sat Nov 7 10:39:29 2026 building matrices for all densities
  372. Sat Nov 7 10:39:29 2026 found 1 density files
  373. Sat Nov 7 10:39:29 2026 building matrix for density 110
  374. Sat Nov 7 10:39:34 2026 read 27794520 cycles
  375. Sat Nov 7 10:40:47 2026 cycles contain 98796531 unique relations
  376. Sat Nov 7 10:46:31 2026 read 98796531 relations
  377. Sat Nov 7 10:47:09 2026 using 20 quadratic characters above 4294917295
  378. Sat Nov 7 10:47:47 2026 building initial matrix
  379. Sat Nov 7 10:53:00 2026 memory use: 13832.2 MB
  380. Sat Nov 7 10:53:15 2026 read 27794520 cycles
  381. Sat Nov 7 10:53:19 2026 matrix is 27794342 x 27794520 (12321.9 MB) with weight 3755970141 (135.13/col)
  382. Sat Nov 7 10:53:19 2026 sparse part has weight 2896572946 (104.21/col)
  383. Sat Nov 7 10:56:29 2026 filtering completed in 2 passes
  384. Sat Nov 7 10:56:38 2026 matrix is 27790573 x 27790750 (12321.5 MB) with weight 3755801833 (135.15/col)
  385. Sat Nov 7 10:56:38 2026 sparse part has weight 2896526738 (104.23/col)
  386. Sat Nov 7 10:58:36 2026 BLanczosTime: 1147
  387. Sat Nov 7 10:58:36 2026 elapsed time 02:27:43
  388. Sun Nov 8 18:36:56 2026
  389. Sun Nov 8 18:36:56 2026
  390. Sun Nov 8 18:36:56 2026 Msieve v. 1.54 (SVN unknown)
  391. Sun Nov 8 18:36:56 2026 random seeds: 970485c0 751130fe
  392. Sun Nov 8 18:36:56 2026 Using 8 OpenMP threads
  393. Sun Nov 8 18:36:56 2026 factoring 2436164000670022381522036056924436158600719930781336446338611219952442899485519307639873183295351398084200750614069986394862577577209615153121892486645361637605991212030277353635514579525499 (190 digits)
  394. Sun Nov 8 18:36:57 2026 no P-1/P+1/ECM available, skipping
  395. Sun Nov 8 18:36:57 2026 commencing number field sieve (190-digit input)
  396. Sun Nov 8 18:36:57 2026 R0: -5834367299105654798083178562768456331
  397. Sun Nov 8 18:36:57 2026 R1: 90141200814192491887793
  398. Sun Nov 8 18:36:57 2026 A0: 53421186933018788800855764337954033572118424
  399. Sun Nov 8 18:36:57 2026 A1: 10935217388148569064881288476080790150
  400. Sun Nov 8 18:36:57 2026 A2: -836483668368899022681375964469
  401. Sun Nov 8 18:36:57 2026 A3: -8091743288634018063007
  402. Sun Nov 8 18:36:57 2026 A4: 358032584873826
  403. Sun Nov 8 18:36:57 2026 A5: 2162160
  404. Sun Nov 8 18:36:57 2026 skew 47710798.60, size 2.409e-18, alpha -7.705, combined = 3.092e-14 rroots = 5
  405. Sun Nov 8 18:36:57 2026
  406. Sun Nov 8 18:36:57 2026 commencing linear algebra
  407. Sun Nov 8 18:36:57 2026 using VBITS=256
  408. Sun Nov 8 18:36:57 2026 selecting density 110 for linear algebra
  409. Sun Nov 8 18:38:31 2026 matrix starts at (0, 0)
  410. Sun Nov 8 18:38:34 2026 matrix is 27790573 x 27790750 (12321.5 MB) with weight 3755801833 (135.15/col)
  411. Sun Nov 8 18:38:34 2026 sparse part has weight 2896526738 (104.23/col)
  412. Sun Nov 8 18:38:34 2026 saving the first 240 matrix rows for later
  413. Sun Nov 8 18:38:45 2026 matrix includes 256 packed rows
  414. Sun Nov 8 18:38:53 2026 matrix is 27790333 x 27790750 (11266.5 MB) with weight 2658672752 (95.67/col)
  415. Sun Nov 8 18:38:53 2026 sparse part has weight 2508783413 (90.27/col)
  416. Sun Nov 8 18:38:54 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  417. Sun Nov 8 18:38:54 2026 selected card has CUDA arch 12.0
  418. Sun Nov 8 18:38:55 2026 storing a single copy of the matrix (no transpose) on the GPU
  419. Sun Nov 8 18:38:55 2026 computed block_nnz 55580666 (L2 cache 50331648 bytes, average column weight 90.3)
  420. Sun Nov 8 18:38:55 2026 note: single_copy's L2-sized blocks are smaller than its row pointer floor; expect it to be slower than two copies, only saving GPU memory
  421. Sun Nov 8 18:38:55 2026 nonzeros per matrix block: 55580666
  422. Sun Nov 8 18:38:55 2026 SpMV kernel: auto (by nonzeros per row)
  423. Sun Nov 8 18:38:56 2026 SpMV kernel auto: segscan for 46 of 46 blocks (below 28 nonzeros per row), warpmerge for 0
  424. Sun Nov 8 18:38:56 2026 packed CSR: 46/46 blocks with 24-bit columns, 0/46 with compressed rows; 2392.6 MiB saved across all blocks
  425. Sun Nov 8 18:38:56 2026 GPU memory: 11015 MB free, 5937 MB for vectors, 4230 MB for sparse matrix blocks (12146 MB needed)
  426. Sun Nov 8 18:38:56 2026 leaving 1536 MB of GPU memory free while streaming (use max_gpu_mem=N to change)
  427. Sun Nov 8 18:42:25 2026 streaming 38 of 46 matrix blocks (9934 MB) from pinned host memory through 2 265 MB buffers
  428. Sun Nov 8 18:42:25 2026 commencing Lanczos iteration
  429. Sun Nov 8 18:43:21 2026 memory use: 9435.2 MB
  430. Sun Nov 8 18:44:35 2026 linear algebra at 0.1%, ETA 18h 7m
  431. Sun Nov 8 18:46:21 2026 checking every 20000 dimensions, checkpointing every 1560000 dimensions
  432. Mon Nov 9 12:13:36 2026 lanczos halted after 108882 iterations (dim = 27790333)
  433. Mon Nov 9 12:15:09 2026 recovered 31 nontrivial dependencies
  434. Mon Nov 9 12:15:09 2026 matrix transfers: 18945.002 MiB/iteration, 72.00 copies/iteration (108880 measured iterations)
  435. Mon Nov 9 12:15:14 2026 BLanczosTime: 63497
  436. Mon Nov 9 12:15:14 2026
  437. Mon Nov 9 12:15:14 2026 commencing square root phase
  438. Mon Nov 9 12:15:14 2026 handling dependencies 1 to 64
  439. Mon Nov 9 12:15:14 2026 reading relations for dependency 1
  440. Mon Nov 9 12:16:33 2026 read 13895730 cycles
  441. Mon Nov 9 12:16:54 2026 cycles contain 49391914 unique relations
  442. Mon Nov 9 12:18:43 2026 read 49391914 relations
  443. Mon Nov 9 12:19:41 2026 multiplying 49391914 relations
  444. Mon Nov 9 12:24:26 2026 multiply complete, coefficients have about 3013.75 million bits
  445. Mon Nov 9 12:24:32 2026 initial square root is modulo 5746651
  446. Mon Nov 9 12:33:17 2026 GCD is N, no factor found
  447. Mon Nov 9 12:33:17 2026 reading relations for dependency 2
  448. Mon Nov 9 12:33:23 2026 read 13894017 cycles
  449. Mon Nov 9 12:33:43 2026 cycles contain 49392426 unique relations
  450. Mon Nov 9 12:34:39 2026 read 49392426 relations
  451. Mon Nov 9 12:35:25 2026 multiplying 49392426 relations
  452. Mon Nov 9 12:40:09 2026 multiply complete, coefficients have about 3013.81 million bits
  453. Mon Nov 9 12:40:14 2026 initial square root is modulo 5748341
  454. Mon Nov 9 12:48:51 2026 GCD is N, no factor found
  455. Mon Nov 9 12:48:51 2026 reading relations for dependency 3
  456. Mon Nov 9 12:48:54 2026 read 13895839 cycles
  457. Mon Nov 9 12:49:12 2026 cycles contain 49404690 unique relations
  458. Mon Nov 9 12:49:56 2026 read 49404690 relations
  459. Mon Nov 9 12:50:37 2026 multiplying 49404690 relations
  460. Mon Nov 9 12:55:06 2026 multiply complete, coefficients have about 3014.57 million bits
  461. Mon Nov 9 12:55:11 2026 initial square root is modulo 5770859
  462. Mon Nov 9 13:03:36 2026 GCD is 1, no factor found
  463. Mon Nov 9 13:03:36 2026 reading relations for dependency 4
  464. Mon Nov 9 13:03:45 2026 read 13896552 cycles
  465. Mon Nov 9 13:04:03 2026 cycles contain 49401036 unique relations
  466. Mon Nov 9 13:04:44 2026 read 49401036 relations
  467. Mon Nov 9 13:05:23 2026 multiplying 49401036 relations
  468. Mon Nov 9 13:09:48 2026 multiply complete, coefficients have about 3014.32 million bits
  469. Mon Nov 9 13:09:53 2026 initial square root is modulo 5763683
  470. Mon Nov 9 13:18:10 2026 GCD is N, no factor found
  471. Mon Nov 9 13:18:10 2026 reading relations for dependency 5
  472. Mon Nov 9 13:18:15 2026 read 13897087 cycles
  473. Mon Nov 9 13:18:33 2026 cycles contain 49406574 unique relations
  474. Mon Nov 9 13:20:00 2026 read 49406574 relations
  475. Mon Nov 9 13:20:50 2026 multiplying 49406574 relations
  476. Mon Nov 9 13:25:26 2026 multiply complete, coefficients have about 3014.66 million bits
  477. Mon Nov 9 13:25:31 2026 initial square root is modulo 5773541
  478. Mon Nov 9 13:33:52 2026 sqrtTime: 4718
  479. Mon Nov 9 13:33:52 2026 p75 factor: 860488863451631619739139144865504279995191217292972621551447143276437419161
  480. Mon Nov 9 13:33:52 2026 p115 factor: 2831139488427510616899270260983329569009216957794177240835545793081668764401827131953529959280199269475353611595059
  481. Mon Nov 9 13:33:52 2026 elapsed time 18:56:56
  482.  
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