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Feb 25th, 2023
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  1. Thu Feb 23 17:48:00 2023 Msieve v. 1.54 (SVN unknown)
  2. Thu Feb 23 17:48:00 2023 random seeds: 33372e61 62b3edf7
  3. Thu Feb 23 17:48:00 2023 factoring 6969967157305655761030884349642017956322129271437209109727558690451623831234958505938471262745255806472282228411971255939396525885388132274559078309386233822784640024092667274629021929809796078346584948541324924820714497048668471762701 (235 digits)
  4. Thu Feb 23 17:48:01 2023 searching for 15-digit factors
  5. Thu Feb 23 17:48:02 2023 commencing number field sieve (235-digit input)
  6. Thu Feb 23 17:48:02 2023 R0: -10000000000000000000000000000000000000000
  7. Thu Feb 23 17:48:02 2023 R1: 1
  8. Thu Feb 23 17:48:02 2023 A0: -1
  9. Thu Feb 23 17:48:02 2023 A1: 0
  10. Thu Feb 23 17:48:02 2023 A2: 0
  11. Thu Feb 23 17:48:02 2023 A3: 45
  12. Thu Feb 23 17:48:02 2023 A4: 0
  13. Thu Feb 23 17:48:02 2023 A5: 0
  14. Thu Feb 23 17:48:02 2023 A6: 1000
  15. Thu Feb 23 17:48:02 2023 skew 1.00, size 5.112e-12, alpha -0.013, combined = 3.763e-13 rroots = 2
  16. Thu Feb 23 17:48:02 2023
  17. Thu Feb 23 17:48:02 2023 commencing relation filtering
  18. Thu Feb 23 17:48:02 2023 setting target matrix density to 110.0
  19. Thu Feb 23 17:48:02 2023 estimated available RAM is 15536.6 MB
  20. Thu Feb 23 17:48:02 2023 commencing duplicate removal, pass 1
  21. Thu Feb 23 17:48:06 2023 error -9 reading relation 875865
  22. Thu Feb 23 17:48:39 2023 error -9 reading relation 9571262
  23. Thu Feb 23 17:48:40 2023 error -5 reading relation 9760785
  24. Thu Feb 23 17:50:24 2023 error -5 reading relation 36651732
  25. Thu Feb 23 17:50:38 2023 error -15 reading relation 40370129
  26. Thu Feb 23 17:50:47 2023 error -15 reading relation 42684284
  27. Thu Feb 23 17:51:05 2023 error -15 reading relation 47331010
  28. Thu Feb 23 17:51:35 2023 error -9 reading relation 55063006
  29. Thu Feb 23 17:51:45 2023 error -9 reading relation 57639314
  30. Thu Feb 23 17:51:53 2023 error -9 reading relation 59700025
  31. Thu Feb 23 17:52:01 2023 error -9 reading relation 61581154
  32. Thu Feb 23 17:52:03 2023 error -9 reading relation 62074775
  33. Thu Feb 23 17:52:08 2023 error -9 reading relation 63493252
  34. Thu Feb 23 17:52:14 2023 error -9 reading relation 64882620
  35. Thu Feb 23 17:52:15 2023 error -15 reading relation 65268411
  36. Thu Feb 23 17:52:28 2023 error -9 reading relation 68510698
  37. Thu Feb 23 17:52:30 2023 error -15 reading relation 69168897
  38. Thu Feb 23 17:53:05 2023 error -5 reading relation 78250955
  39. Thu Feb 23 17:53:16 2023 error -9 reading relation 80922274
  40. Thu Feb 23 17:53:22 2023 error -9 reading relation 82613834
  41. Thu Feb 23 17:53:29 2023 error -15 reading relation 84237925
  42. Thu Feb 23 17:53:38 2023 error -9 reading relation 86535355
  43. Thu Feb 23 17:53:39 2023 error -5 reading relation 87000060
  44. Thu Feb 23 17:53:42 2023 error -9 reading relation 87576976
  45. Thu Feb 23 17:53:51 2023 error -9 reading relation 90106180
  46. Thu Feb 23 17:54:56 2023 error -9 reading relation 106534228
  47. Thu Feb 23 17:55:19 2023 error -9 reading relation 112547513
  48. Thu Feb 23 17:55:27 2023 error -15 reading relation 114382774
  49. Thu Feb 23 17:55:30 2023 error -9 reading relation 115351805
  50. Thu Feb 23 17:55:34 2023 error -9 reading relation 116337306
  51. Thu Feb 23 17:55:59 2023 error -9 reading relation 122496578
  52. Thu Feb 23 17:56:03 2023 error -5 reading relation 123454174
  53. Thu Feb 23 17:56:03 2023 error -9 reading relation 123487731
  54. Thu Feb 23 17:56:03 2023 error -9 reading relation 123488278
  55. Thu Feb 23 17:56:31 2023 error -15 reading relation 130482426
  56. Thu Feb 23 17:56:31 2023 error -15 reading relation 130637353
  57. Thu Feb 23 17:56:36 2023 error -9 reading relation 131890795
  58. Thu Feb 23 17:56:55 2023 error -1 reading relation 136518748
  59. Thu Feb 23 17:56:57 2023 error -1 reading relation 137011923
  60. Thu Feb 23 17:57:06 2023 error -9 reading relation 139454430
  61. Thu Feb 23 17:57:08 2023 error -9 reading relation 139819813
  62. Thu Feb 23 17:57:10 2023 error -9 reading relation 140434230
  63. Thu Feb 23 17:57:21 2023 error -15 reading relation 143036347
  64. Thu Feb 23 17:57:21 2023 error -15 reading relation 143110824
  65. Thu Feb 23 17:57:21 2023 error -9 reading relation 143145993
  66. Thu Feb 23 17:57:21 2023 error -9 reading relation 143153426
  67. Thu Feb 23 17:57:29 2023 error -15 reading relation 145295456
  68. Thu Feb 23 17:58:02 2023 error -9 reading relation 153518940
  69. Thu Feb 23 17:58:02 2023 error -9 reading relation 153567377
  70. Thu Feb 23 17:58:18 2023 error -9 reading relation 157674009
  71. Thu Feb 23 17:58:19 2023 error -9 reading relation 158093433
  72. Thu Feb 23 17:58:19 2023 error -9 reading relation 158100198
  73. Thu Feb 23 17:58:23 2023 error -15 reading relation 158994972
  74. Thu Feb 23 17:58:34 2023 error -15 reading relation 161936219
  75. Thu Feb 23 17:58:34 2023 error -9 reading relation 161952807
  76. Thu Feb 23 17:58:39 2023 error -15 reading relation 163255341
  77. Thu Feb 23 17:59:07 2023 error -9 reading relation 170418679
  78. Thu Feb 23 17:59:17 2023 error -15 reading relation 172918892
  79. Thu Feb 23 17:59:17 2023 error -9 reading relation 172924570
  80. Thu Feb 23 17:59:18 2023 error -9 reading relation 173356608
  81. Thu Feb 23 17:59:18 2023 error -5 reading relation 173379120
  82. Thu Feb 23 17:59:21 2023 error -9 reading relation 174128750
  83. Thu Feb 23 17:59:22 2023 error -9 reading relation 174289215
  84. Thu Feb 23 17:59:22 2023 error -9 reading relation 174297862
  85. Thu Feb 23 17:59:22 2023 error -1 reading relation 174344887
  86. Thu Feb 23 17:59:22 2023 error -5 reading relation 174347273
  87. Thu Feb 23 17:59:28 2023 error -9 reading relation 175720089
  88. Thu Feb 23 17:59:28 2023 error -5 reading relation 175854397
  89. Thu Feb 23 17:59:42 2023 error -9 reading relation 179472577
  90. Thu Feb 23 17:59:43 2023 error -9 reading relation 179538520
  91. Thu Feb 23 17:59:43 2023 error -5 reading relation 179602133
  92. Thu Feb 23 17:59:44 2023 error -5 reading relation 179775551
  93. Thu Feb 23 17:59:44 2023 error -15 reading relation 179862581
  94. Thu Feb 23 17:59:44 2023 error -15 reading relation 179925094
  95. Thu Feb 23 17:59:54 2023 error -15 reading relation 182480751
  96. Thu Feb 23 18:00:25 2023 skipped 275 relations with b > 2^32
  97. Thu Feb 23 18:00:25 2023 skipped 51 relations with composite factors
  98. Thu Feb 23 18:00:25 2023 found 44042547 hash collisions in 190110560 relations
  99. Thu Feb 23 18:00:41 2023 commencing duplicate removal, pass 2
  100. Thu Feb 23 18:04:28 2023 found 49226609 duplicates and 140883951 unique relations
  101. Thu Feb 23 18:04:28 2023 memory use: 1321.5 MB
  102. Thu Feb 23 18:04:28 2023 reading ideals above 143851520
  103. Thu Feb 23 18:04:28 2023 commencing singleton removal, initial pass
  104. Thu Feb 23 18:13:37 2023 memory use: 3012.0 MB
  105. Thu Feb 23 18:13:37 2023 reading all ideals from disk
  106. Thu Feb 23 18:13:46 2023 memory use: 3422.5 MB
  107. Thu Feb 23 18:13:53 2023 commencing in-memory singleton removal
  108. Thu Feb 23 18:13:57 2023 begin with 140883951 relations and 114301886 unique ideals
  109. Thu Feb 23 18:14:23 2023 reduce to 91843361 relations and 60538167 ideals in 16 passes
  110. Thu Feb 23 18:14:23 2023 max relations containing the same ideal: 32
  111. Thu Feb 23 18:14:26 2023 reading ideals above 720000
  112. Thu Feb 23 18:14:26 2023 commencing singleton removal, initial pass
  113. Thu Feb 23 18:23:46 2023 memory use: 1506.0 MB
  114. Thu Feb 23 18:23:47 2023 reading all ideals from disk
  115. Thu Feb 23 18:24:14 2023 memory use: 4288.9 MB
  116. Thu Feb 23 18:24:28 2023 keeping 76306483 ideals with weight <= 200, target excess is 463600
  117. Thu Feb 23 18:24:40 2023 commencing in-memory singleton removal
  118. Thu Feb 23 18:24:47 2023 begin with 91843362 relations and 76306483 unique ideals
  119. Thu Feb 23 18:25:10 2023 reduce to 91832617 relations and 76295727 ideals in 10 passes
  120. Thu Feb 23 18:25:10 2023 max relations containing the same ideal: 200
  121. Thu Feb 23 18:25:49 2023 removing 9699260 relations and 7699260 ideals in 2000000 cliques
  122. Thu Feb 23 18:25:53 2023 commencing in-memory singleton removal
  123. Thu Feb 23 18:25:59 2023 begin with 82133357 relations and 76295727 unique ideals
  124. Thu Feb 23 18:26:20 2023 reduce to 81315429 relations and 67755776 ideals in 8 passes
  125. Thu Feb 23 18:26:20 2023 max relations containing the same ideal: 194
  126. Thu Feb 23 18:26:55 2023 removing 7617749 relations and 5617749 ideals in 2000000 cliques
  127. Thu Feb 23 18:26:58 2023 commencing in-memory singleton removal
  128. Thu Feb 23 18:27:08 2023 begin with 73697680 relations and 67755776 unique ideals
  129. Thu Feb 23 18:27:29 2023 reduce to 73119438 relations and 61545325 ideals in 8 passes
  130. Thu Feb 23 18:27:29 2023 max relations containing the same ideal: 183
  131. Thu Feb 23 18:28:00 2023 removing 7042415 relations and 5042415 ideals in 2000000 cliques
  132. Thu Feb 23 18:28:03 2023 commencing in-memory singleton removal
  133. Thu Feb 23 18:28:11 2023 begin with 66077023 relations and 61545325 unique ideals
  134. Thu Feb 23 18:28:26 2023 reduce to 65543444 relations and 55955718 ideals in 7 passes
  135. Thu Feb 23 18:28:26 2023 max relations containing the same ideal: 171
  136. Thu Feb 23 18:28:53 2023 removing 6770828 relations and 4770828 ideals in 2000000 cliques
  137. Thu Feb 23 18:28:57 2023 commencing in-memory singleton removal
  138. Thu Feb 23 18:29:01 2023 begin with 58772616 relations and 55955718 unique ideals
  139. Thu Feb 23 18:29:13 2023 reduce to 58240422 relations and 50637903 ideals in 7 passes
  140. Thu Feb 23 18:29:13 2023 max relations containing the same ideal: 161
  141. Thu Feb 23 18:29:39 2023 removing 6621048 relations and 4621048 ideals in 2000000 cliques
  142. Thu Feb 23 18:29:42 2023 commencing in-memory singleton removal
  143. Thu Feb 23 18:29:48 2023 begin with 51619374 relations and 50637903 unique ideals
  144. Thu Feb 23 18:30:00 2023 reduce to 51064898 relations and 45445352 ideals in 8 passes
  145. Thu Feb 23 18:30:00 2023 max relations containing the same ideal: 144
  146. Thu Feb 23 18:30:23 2023 removing 6529030 relations and 4529030 ideals in 2000000 cliques
  147. Thu Feb 23 18:30:26 2023 commencing in-memory singleton removal
  148. Thu Feb 23 18:30:31 2023 begin with 44535868 relations and 45445352 unique ideals
  149. Thu Feb 23 18:30:42 2023 reduce to 43932535 relations and 40292236 ideals in 8 passes
  150. Thu Feb 23 18:30:42 2023 max relations containing the same ideal: 131
  151. Thu Feb 23 18:31:01 2023 removing 6486562 relations and 4486562 ideals in 2000000 cliques
  152. Thu Feb 23 18:31:04 2023 commencing in-memory singleton removal
  153. Thu Feb 23 18:31:08 2023 begin with 37445973 relations and 40292236 unique ideals
  154. Thu Feb 23 18:31:17 2023 reduce to 36759262 relations and 35091852 ideals in 8 passes
  155. Thu Feb 23 18:31:17 2023 max relations containing the same ideal: 116
  156. Thu Feb 23 18:31:33 2023 removing 4114955 relations and 2985322 ideals in 1129633 cliques
  157. Thu Feb 23 18:31:35 2023 commencing in-memory singleton removal
  158. Thu Feb 23 18:31:39 2023 begin with 32644307 relations and 35091852 unique ideals
  159. Thu Feb 23 18:31:47 2023 reduce to 32309913 relations and 31762850 ideals in 8 passes
  160. Thu Feb 23 18:31:47 2023 max relations containing the same ideal: 107
  161. Thu Feb 23 18:32:02 2023 removing 67916 relations and 58630 ideals in 9286 cliques
  162. Thu Feb 23 18:32:03 2023 commencing in-memory singleton removal
  163. Thu Feb 23 18:32:07 2023 begin with 32241997 relations and 31762850 unique ideals
  164. Thu Feb 23 18:32:12 2023 reduce to 32241875 relations and 31704098 ideals in 6 passes
  165. Thu Feb 23 18:32:12 2023 max relations containing the same ideal: 107
  166. Thu Feb 23 18:32:18 2023 relations with 0 large ideals: 17676
  167. Thu Feb 23 18:32:18 2023 relations with 1 large ideals: 4306
  168. Thu Feb 23 18:32:18 2023 relations with 2 large ideals: 59091
  169. Thu Feb 23 18:32:18 2023 relations with 3 large ideals: 458818
  170. Thu Feb 23 18:32:18 2023 relations with 4 large ideals: 1952229
  171. Thu Feb 23 18:32:18 2023 relations with 5 large ideals: 4997792
  172. Thu Feb 23 18:32:18 2023 relations with 6 large ideals: 8033329
  173. Thu Feb 23 18:32:18 2023 relations with 7+ large ideals: 16718634
  174. Thu Feb 23 18:32:18 2023 commencing 2-way merge
  175. Thu Feb 23 18:32:37 2023 reduce to 21633736 relation sets and 21095959 unique ideals
  176. Thu Feb 23 18:32:37 2023 commencing full merge
  177. Thu Feb 23 18:42:51 2023 memory use: 2792.1 MB
  178. Thu Feb 23 18:42:54 2023 found 9922496 cycles, need 9898159
  179. Thu Feb 23 18:43:00 2023 weight of 9898159 cycles is about 1089157619 (110.04/cycle)
  180. Thu Feb 23 18:43:00 2023 distribution of cycle lengths:
  181. Thu Feb 23 18:43:00 2023 1 relations: 463023
  182. Thu Feb 23 18:43:00 2023 2 relations: 655420
  183. Thu Feb 23 18:43:00 2023 3 relations: 761989
  184. Thu Feb 23 18:43:00 2023 4 relations: 781390
  185. Thu Feb 23 18:43:00 2023 5 relations: 790137
  186. Thu Feb 23 18:43:00 2023 6 relations: 771136
  187. Thu Feb 23 18:43:00 2023 7 relations: 743653
  188. Thu Feb 23 18:43:00 2023 8 relations: 699282
  189. Thu Feb 23 18:43:00 2023 9 relations: 644438
  190. Thu Feb 23 18:43:00 2023 10+ relations: 3587691
  191. Thu Feb 23 18:43:00 2023 heaviest cycle: 28 relations
  192. Thu Feb 23 18:43:05 2023 commencing cycle optimization
  193. Thu Feb 23 18:43:39 2023 start with 83016768 relations
  194. Thu Feb 23 18:48:20 2023 pruned 3773608 relations
  195. Thu Feb 23 18:48:20 2023 memory use: 2200.5 MB
  196. Thu Feb 23 18:48:20 2023 distribution of cycle lengths:
  197. Thu Feb 23 18:48:20 2023 1 relations: 463023
  198. Thu Feb 23 18:48:20 2023 2 relations: 672183
  199. Thu Feb 23 18:48:20 2023 3 relations: 795429
  200. Thu Feb 23 18:48:20 2023 4 relations: 814982
  201. Thu Feb 23 18:48:20 2023 5 relations: 829654
  202. Thu Feb 23 18:48:20 2023 6 relations: 807338
  203. Thu Feb 23 18:48:20 2023 7 relations: 781364
  204. Thu Feb 23 18:48:20 2023 8 relations: 729217
  205. Thu Feb 23 18:48:20 2023 9 relations: 669623
  206. Thu Feb 23 18:48:20 2023 10+ relations: 3335346
  207. Thu Feb 23 18:48:20 2023 heaviest cycle: 28 relations
  208. Thu Feb 23 18:48:44 2023 RelProcTime: 3642
  209. Thu Feb 23 18:48:44 2023 elapsed time 01:00:44
  210. Thu Feb 23 20:45:15 2023
  211. Thu Feb 23 20:45:15 2023
  212. Thu Feb 23 20:45:15 2023 Msieve v. 1.54 (SVN unknown)
  213. Thu Feb 23 20:45:15 2023 random seeds: bc810ca6 9191aaf0
  214. Thu Feb 23 20:45:15 2023 factoring 6969967157305655761030884349642017956322129271437209109727558690451623831234958505938471262745255806472282228411971255939396525885388132274559078309386233822784640024092667274629021929809796078346584948541324924820714497048668471762701 (235 digits)
  215. Thu Feb 23 20:45:17 2023 searching for 15-digit factors
  216. Thu Feb 23 20:45:17 2023 commencing number field sieve (235-digit input)
  217. Thu Feb 23 20:45:17 2023 R0: -10000000000000000000000000000000000000000
  218. Thu Feb 23 20:45:17 2023 R1: 1
  219. Thu Feb 23 20:45:17 2023 A0: -1
  220. Thu Feb 23 20:45:17 2023 A1: 0
  221. Thu Feb 23 20:45:17 2023 A2: 0
  222. Thu Feb 23 20:45:17 2023 A3: 45
  223. Thu Feb 23 20:45:17 2023 A4: 0
  224. Thu Feb 23 20:45:17 2023 A5: 0
  225. Thu Feb 23 20:45:17 2023 A6: 1000
  226. Thu Feb 23 20:45:17 2023 skew 1.00, size 5.112e-12, alpha -0.013, combined = 3.763e-13 rroots = 2
  227. Thu Feb 23 20:45:17 2023
  228. Thu Feb 23 20:45:17 2023 commencing linear algebra
  229. Thu Feb 23 20:45:17 2023 using VBITS=256
  230. Thu Feb 23 20:45:19 2023 read 9898159 cycles
  231. Thu Feb 23 20:45:48 2023 cycles contain 31950049 unique relations
  232. Thu Feb 23 20:49:49 2023 read 31950049 relations
  233. Thu Feb 23 20:50:00 2023 using 20 quadratic characters above 4294917295
  234. Thu Feb 23 20:50:28 2023 building initial matrix
  235. Thu Feb 23 21:02:50 2023 memory use: 4075.8 MB
  236. Thu Feb 23 21:03:00 2023 read 9898159 cycles
  237. Thu Feb 23 21:03:02 2023 matrix is 9897982 x 9898159 (4302.8 MB) with weight 1243059610 (125.58/col)
  238. Thu Feb 23 21:03:02 2023 sparse part has weight 1019069849 (102.96/col)
  239. Thu Feb 23 21:06:10 2023 filtering completed in 2 passes
  240. Thu Feb 23 21:06:12 2023 matrix is 9897817 x 9897990 (4302.8 MB) with weight 1243054284 (125.59/col)
  241. Thu Feb 23 21:06:12 2023 sparse part has weight 1019068327 (102.96/col)
  242. Thu Feb 23 21:07:15 2023 matrix starts at (0, 0)
  243. Thu Feb 23 21:07:17 2023 matrix is 9897817 x 9897990 (4302.8 MB) with weight 1243054284 (125.59/col)
  244. Thu Feb 23 21:07:17 2023 sparse part has weight 1019068327 (102.96/col)
  245. Thu Feb 23 21:07:17 2023 saving the first 240 matrix rows for later
  246. Thu Feb 23 21:07:21 2023 matrix includes 256 packed rows
  247. Thu Feb 23 21:07:27 2023 matrix is 9897577 x 9897990 (3994.5 MB) with weight 933586958 (94.32/col)
  248. Thu Feb 23 21:07:27 2023 sparse part has weight 888769764 (89.79/col)
  249. Thu Feb 23 21:07:27 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  250. Thu Feb 23 21:08:11 2023 commencing Lanczos iteration (8 threads)
  251. Thu Feb 23 21:08:11 2023 memory use: 5605.4 MB
  252. Thu Feb 23 21:19:17 2023 linear algebra at 0.3%, ETA 58h49m
  253. Thu Feb 23 21:31:41 2023 checking every 10000 dimensions, checkpointing every 200000 dimensions
  254. Sat Feb 25 15:40:21 2023 lanczos halted after 38780 iterations (dim = 9897574)
  255. Sat Feb 25 15:41:31 2023 recovered 30 nontrivial dependencies
  256. Sat Feb 25 15:41:31 2023 BLanczosTime: 154574
  257. Sat Feb 25 15:41:31 2023
  258. Sat Feb 25 15:41:31 2023 commencing square root phase
  259. Sat Feb 25 15:41:31 2023 reading relations for dependency 1
  260. Sat Feb 25 15:41:34 2023 read 4948836 cycles
  261. Sat Feb 25 15:41:51 2023 cycles contain 15977076 unique relations
  262. Sat Feb 25 15:47:02 2023 read 15977076 relations
  263. Sat Feb 25 15:49:15 2023 multiplying 15977076 relations
  264. Sat Feb 25 16:03:35 2023 multiply complete, coefficients have about 545.72 million bits
  265. Sat Feb 25 16:03:37 2023 initial square root is modulo 78737
  266. Sat Feb 25 16:09:26 2023 sqrtTime: 1675
  267. Sat Feb 25 16:09:26 2023 p80 factor: 13842953231651653675668347194810218569865945577054611045123874895714696223621787
  268. Sat Feb 25 16:09:26 2023 p156 factor: 503502904378016405268548697606925683093381297437981416765014076025842383586159870585136453158763036672230062942249554350192366788942835657541932448564136823
  269. Sat Feb 25 16:09:26 2023 elapsed time 43:24:11
  270.  
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