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Mar 24th, 2018
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  1. Fri Mar 23 14:27:08 2018
  2. Fri Mar 23 14:27:08 2018
  3. Fri Mar 23 14:27:08 2018 Msieve v. 1.54 (SVN 1018)
  4. Fri Mar 23 14:27:08 2018 random seeds: 1a5a66d0 fd9d5476
  5. Fri Mar 23 14:27:08 2018 factoring 2499830250929377371615110582385094423403502627984885738837881195521490842836132126025582427792922041447461382151746121719936601309358197409471760186958718092614989 (163 digits)
  6. Fri Mar 23 14:27:09 2018 searching for 15-digit factors
  7. Fri Mar 23 14:27:09 2018 commencing number field sieve (163-digit input)
  8. Fri Mar 23 14:27:09 2018 R0: -19082686107906196762944828398604
  9. Fri Mar 23 14:27:09 2018 R1: 1881732516618913
  10. Fri Mar 23 14:27:09 2018 A0: -4701620952468620007188957972902640087
  11. Fri Mar 23 14:27:09 2018 A1: -1631530669598296050779238660793
  12. Fri Mar 23 14:27:09 2018 A2: 27727130106879955181681735
  13. Fri Mar 23 14:27:09 2018 A3: -5620908737842388651
  14. Fri Mar 23 14:27:09 2018 A4: 15986229733656
  15. Fri Mar 23 14:27:09 2018 A5: 987900
  16. Fri Mar 23 14:27:09 2018 skew 1613790.50, size 7.337e-016, alpha -6.035, combined = 9.389e-013 rroots = 3
  17. Fri Mar 23 14:27:09 2018
  18. Fri Mar 23 14:27:09 2018 commencing relation filtering
  19. Fri Mar 23 14:27:09 2018 setting target matrix density to 120.0
  20. Fri Mar 23 14:27:09 2018 estimated available RAM is 32715.2 MB
  21. Fri Mar 23 14:27:09 2018 commencing duplicate removal, pass 1
  22. <errors reading relations>
  23. Fri Mar 23 14:45:28 2018 skipped 226 relations with composite factors
  24. Fri Mar 23 14:45:28 2018 found 24774642 hash collisions in 123978698 relations
  25. Fri Mar 23 14:45:56 2018 added 121831 free relations
  26. Fri Mar 23 14:45:56 2018 commencing duplicate removal, pass 2
  27. Fri Mar 23 14:47:17 2018 found 24304450 duplicates and 99796079 unique relations
  28. Fri Mar 23 14:47:17 2018 memory use: 660.8 MB
  29. Fri Mar 23 14:47:17 2018 reading ideals above 720000
  30. Fri Mar 23 14:47:17 2018 commencing singleton removal, initial pass
  31. Fri Mar 23 15:01:39 2018 memory use: 2756.0 MB
  32. Fri Mar 23 15:01:39 2018 reading all ideals from disk
  33. Fri Mar 23 15:01:41 2018 memory use: 3776.6 MB
  34. Fri Mar 23 15:01:54 2018 keeping 90532257 ideals with weight <= 200, target excess is 529072
  35. Fri Mar 23 15:02:08 2018 commencing in-memory singleton removal
  36. Fri Mar 23 15:02:18 2018 begin with 99796079 relations and 90532257 unique ideals
  37. Fri Mar 23 15:03:57 2018 reduce to 65443070 relations and 52761956 ideals in 13 passes
  38. Fri Mar 23 15:03:57 2018 max relations containing the same ideal: 158
  39. Fri Mar 23 15:04:32 2018 removing 8809438 relations and 6809438 ideals in 2000000 cliques
  40. Fri Mar 23 15:04:34 2018 commencing in-memory singleton removal
  41. Fri Mar 23 15:04:39 2018 begin with 56633632 relations and 52761956 unique ideals
  42. Fri Mar 23 15:05:19 2018 reduce to 55735024 relations and 45020939 ideals in 8 passes
  43. Fri Mar 23 15:05:20 2018 max relations containing the same ideal: 142
  44. Fri Mar 23 15:05:48 2018 removing 6945651 relations and 4945651 ideals in 2000000 cliques
  45. Fri Mar 23 15:05:50 2018 commencing in-memory singleton removal
  46. Fri Mar 23 15:05:54 2018 begin with 48789373 relations and 45020939 unique ideals
  47. Fri Mar 23 15:06:28 2018 reduce to 48143785 relations and 39407536 ideals in 8 passes
  48. Fri Mar 23 15:06:28 2018 max relations containing the same ideal: 131
  49. Fri Mar 23 15:06:52 2018 removing 6439223 relations and 4439223 ideals in 2000000 cliques
  50. Fri Mar 23 15:06:54 2018 commencing in-memory singleton removal
  51. Fri Mar 23 15:06:58 2018 begin with 41704562 relations and 39407536 unique ideals
  52. Fri Mar 23 15:07:25 2018 reduce to 41105645 relations and 34346777 ideals in 8 passes
  53. Fri Mar 23 15:07:25 2018 max relations containing the same ideal: 119
  54. Fri Mar 23 15:07:46 2018 removing 6187497 relations and 4187497 ideals in 2000000 cliques
  55. Fri Mar 23 15:07:48 2018 commencing in-memory singleton removal
  56. Fri Mar 23 15:07:51 2018 begin with 34918148 relations and 34346777 unique ideals
  57. Fri Mar 23 15:08:13 2018 reduce to 34311648 relations and 29526873 ideals in 8 passes
  58. Fri Mar 23 15:08:13 2018 max relations containing the same ideal: 106
  59. Fri Mar 23 15:08:31 2018 removing 6026302 relations and 4026302 ideals in 2000000 cliques
  60. Fri Mar 23 15:08:33 2018 commencing in-memory singleton removal
  61. Fri Mar 23 15:08:35 2018 begin with 28285346 relations and 29526873 unique ideals
  62. Fri Mar 23 15:08:52 2018 reduce to 27625731 relations and 24807701 ideals in 8 passes
  63. Fri Mar 23 15:08:52 2018 max relations containing the same ideal: 91
  64. Fri Mar 23 15:09:06 2018 removing 5913844 relations and 3913844 ideals in 2000000 cliques
  65. Fri Mar 23 15:09:08 2018 commencing in-memory singleton removal
  66. Fri Mar 23 15:09:09 2018 begin with 21711887 relations and 24807701 unique ideals
  67. Fri Mar 23 15:09:22 2018 reduce to 20931214 relations and 20064837 ideals in 8 passes
  68. Fri Mar 23 15:09:22 2018 max relations containing the same ideal: 74
  69. Fri Mar 23 15:09:32 2018 removing 1127268 relations and 874615 ideals in 252653 cliques
  70. Fri Mar 23 15:09:33 2018 commencing in-memory singleton removal
  71. Fri Mar 23 15:09:34 2018 begin with 19803946 relations and 20064837 unique ideals
  72. Fri Mar 23 15:09:43 2018 reduce to 19762219 relations and 19148012 ideals in 6 passes
  73. Fri Mar 23 15:09:43 2018 max relations containing the same ideal: 72
  74. Fri Mar 23 15:09:55 2018 relations with 0 large ideals: 1703
  75. Fri Mar 23 15:09:55 2018 relations with 1 large ideals: 9127
  76. Fri Mar 23 15:09:55 2018 relations with 2 large ideals: 126872
  77. Fri Mar 23 15:09:55 2018 relations with 3 large ideals: 765636
  78. Fri Mar 23 15:09:55 2018 relations with 4 large ideals: 2459540
  79. Fri Mar 23 15:09:55 2018 relations with 5 large ideals: 4641130
  80. Fri Mar 23 15:09:55 2018 relations with 6 large ideals: 5438462
  81. Fri Mar 23 15:09:55 2018 relations with 7+ large ideals: 6319749
  82. Fri Mar 23 15:09:55 2018 commencing 2-way merge
  83. Fri Mar 23 15:10:08 2018 reduce to 13245225 relation sets and 12631018 unique ideals
  84. Fri Mar 23 15:10:08 2018 commencing full merge
  85. Fri Mar 23 15:16:50 2018 memory use: 1602.7 MB
  86. Fri Mar 23 15:16:53 2018 found 5965787 cycles, need 5913218
  87. Fri Mar 23 15:16:54 2018 weight of 5913218 cycles is about 710125129 (120.09/cycle)
  88. Fri Mar 23 15:16:54 2018 distribution of cycle lengths:
  89. Fri Mar 23 15:16:54 2018 1 relations: 159175
  90. Fri Mar 23 15:16:54 2018 2 relations: 321658
  91. Fri Mar 23 15:16:54 2018 3 relations: 410639
  92. Fri Mar 23 15:16:54 2018 4 relations: 439206
  93. Fri Mar 23 15:16:54 2018 5 relations: 465305
  94. Fri Mar 23 15:16:54 2018 6 relations: 466204
  95. Fri Mar 23 15:16:54 2018 7 relations: 458658
  96. Fri Mar 23 15:16:54 2018 8 relations: 436585
  97. Fri Mar 23 15:16:54 2018 9 relations: 408676
  98. Fri Mar 23 15:16:54 2018 10+ relations: 2347112
  99. Fri Mar 23 15:16:54 2018 heaviest cycle: 27 relations
  100. Fri Mar 23 15:16:59 2018 commencing cycle optimization
  101. Fri Mar 23 15:17:11 2018 start with 52242710 relations
  102. Fri Mar 23 15:20:02 2018 pruned 2604946 relations
  103. Fri Mar 23 15:20:03 2018 memory use: 1359.7 MB
  104. Fri Mar 23 15:20:03 2018 distribution of cycle lengths:
  105. Fri Mar 23 15:20:03 2018 1 relations: 159175
  106. Fri Mar 23 15:20:03 2018 2 relations: 331770
  107. Fri Mar 23 15:20:03 2018 3 relations: 431264
  108. Fri Mar 23 15:20:03 2018 4 relations: 461127
  109. Fri Mar 23 15:20:03 2018 5 relations: 493142
  110. Fri Mar 23 15:20:03 2018 6 relations: 493084
  111. Fri Mar 23 15:20:03 2018 7 relations: 486079
  112. Fri Mar 23 15:20:03 2018 8 relations: 460487
  113. Fri Mar 23 15:20:03 2018 9 relations: 429066
  114. Fri Mar 23 15:20:03 2018 10+ relations: 2168024
  115. Fri Mar 23 15:20:03 2018 heaviest cycle: 27 relations
  116. Fri Mar 23 15:20:14 2018 RelProcTime: 3185
  117. Fri Mar 23 15:20:14 2018 elapsed time 00:53:06
  118. Fri Mar 23 15:34:28 2018
  119. Fri Mar 23 15:34:28 2018
  120. Fri Mar 23 15:34:28 2018 Msieve v. 1.54 (SVN 1018)
  121. Fri Mar 23 15:34:28 2018 random seeds: ec53d568 33f658a7
  122. Fri Mar 23 15:34:28 2018 factoring 2499830250929377371615110582385094423403502627984885738837881195521490842836132126025582427792922041447461382151746121719936601309358197409471760186958718092614989 (163 digits)
  123. Fri Mar 23 15:34:28 2018 searching for 15-digit factors
  124. Fri Mar 23 15:34:29 2018 commencing number field sieve (163-digit input)
  125. Fri Mar 23 15:34:29 2018 R0: -19082686107906196762944828398604
  126. Fri Mar 23 15:34:29 2018 R1: 1881732516618913
  127. Fri Mar 23 15:34:29 2018 A0: -4701620952468620007188957972902640087
  128. Fri Mar 23 15:34:29 2018 A1: -1631530669598296050779238660793
  129. Fri Mar 23 15:34:29 2018 A2: 27727130106879955181681735
  130. Fri Mar 23 15:34:29 2018 A3: -5620908737842388651
  131. Fri Mar 23 15:34:29 2018 A4: 15986229733656
  132. Fri Mar 23 15:34:29 2018 A5: 987900
  133. Fri Mar 23 15:34:29 2018 skew 1613790.50, size 7.337e-016, alpha -6.035, combined = 9.389e-013 rroots = 3
  134. Fri Mar 23 15:34:29 2018
  135. Fri Mar 23 15:34:29 2018 commencing linear algebra
  136. Fri Mar 23 15:34:30 2018 read 5913218 cycles
  137. Fri Mar 23 15:34:45 2018 cycles contain 19461504 unique relations
  138. Fri Mar 23 15:36:58 2018 read 19461504 relations
  139. Fri Mar 23 15:37:42 2018 using 20 quadratic characters above 4294917295
  140. Fri Mar 23 15:39:03 2018 building initial matrix
  141. Fri Mar 23 15:44:07 2018 memory use: 2727.0 MB
  142. Fri Mar 23 15:44:13 2018 read 5913218 cycles
  143. Fri Mar 23 15:44:14 2018 matrix is 5913041 x 5913218 (2781.8 MB) with weight 853142592 (144.28/col)
  144. Fri Mar 23 15:44:14 2018 sparse part has weight 658263270 (111.32/col)
  145. Fri Mar 23 15:45:37 2018 filtering completed in 2 passes
  146. Fri Mar 23 15:45:39 2018 matrix is 5912912 x 5913089 (2781.7 MB) with weight 853136129 (144.28/col)
  147. Fri Mar 23 15:45:39 2018 sparse part has weight 658261205 (111.32/col)
  148. Fri Mar 23 15:45:59 2018 matrix starts at (0, 0)
  149. Fri Mar 23 15:46:00 2018 matrix is 5912912 x 5913089 (2781.7 MB) with weight 853136129 (144.28/col)
  150. Fri Mar 23 15:46:00 2018 sparse part has weight 658261205 (111.32/col)
  151. Fri Mar 23 15:46:00 2018 saving the first 48 matrix rows for later
  152. Fri Mar 23 15:46:02 2018 matrix includes 64 packed rows
  153. Fri Mar 23 15:46:03 2018 matrix is 5912864 x 5913089 (2704.8 MB) with weight 725730109 (122.73/col)
  154. Fri Mar 23 15:46:03 2018 sparse part has weight 649928443 (109.91/col)
  155. Fri Mar 23 15:46:03 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  156. Fri Mar 23 15:46:37 2018 commencing Lanczos iteration
  157. Fri Mar 23 15:46:37 2018 memory use: 2259.1 MB
  158. Fri Mar 23 15:48:34 2018 linear algebra at 0.0%, ETA 120h59m
  159. Fri Mar 23 15:49:12 2018 checkpointing every 50000 dimensions
  160. Fri Mar 23 17:30:21 2018 lanczos halted after 1299 iterations (dim = 82177)
  161. Fri Mar 23 17:30:23 2018 BLanczosTime: 6954
  162. Fri Mar 23 17:30:23 2018 elapsed time 01:55:55
  163. Fri Mar 23 17:30:37 2018
  164. Fri Mar 23 17:30:37 2018
  165. Fri Mar 23 17:30:37 2018 Msieve v. 1.54 (SVN 1018)
  166. Fri Mar 23 17:30:37 2018 random seeds: c5419740 878fcb05
  167. Fri Mar 23 17:30:37 2018 factoring 2499830250929377371615110582385094423403502627984885738837881195521490842836132126025582427792922041447461382151746121719936601309358197409471760186958718092614989 (163 digits)
  168. Fri Mar 23 17:30:38 2018 searching for 15-digit factors
  169. Fri Mar 23 17:30:38 2018 commencing number field sieve (163-digit input)
  170. Fri Mar 23 17:30:38 2018 R0: -19082686107906196762944828398604
  171. Fri Mar 23 17:30:38 2018 R1: 1881732516618913
  172. Fri Mar 23 17:30:38 2018 A0: -4701620952468620007188957972902640087
  173. Fri Mar 23 17:30:38 2018 A1: -1631530669598296050779238660793
  174. Fri Mar 23 17:30:38 2018 A2: 27727130106879955181681735
  175. Fri Mar 23 17:30:38 2018 A3: -5620908737842388651
  176. Fri Mar 23 17:30:38 2018 A4: 15986229733656
  177. Fri Mar 23 17:30:38 2018 A5: 987900
  178. Fri Mar 23 17:30:38 2018 skew 1613790.50, size 7.337e-016, alpha -6.035, combined = 9.389e-013 rroots = 3
  179. Fri Mar 23 17:30:38 2018
  180. Fri Mar 23 17:30:38 2018 commencing linear algebra
  181. Fri Mar 23 17:30:41 2018 matrix starts at (0, 0)
  182. Fri Mar 23 17:30:42 2018 matrix is 5912912 x 5913089 (2781.7 MB) with weight 853136129 (144.28/col)
  183. Fri Mar 23 17:30:42 2018 sparse part has weight 658261205 (111.32/col)
  184. Fri Mar 23 17:30:42 2018 saving the first 48 matrix rows for later
  185. Fri Mar 23 17:30:44 2018 matrix includes 64 packed rows
  186. Fri Mar 23 17:30:45 2018 matrix is 5912864 x 5913089 (2704.8 MB) with weight 725730109 (122.73/col)
  187. Fri Mar 23 17:30:45 2018 sparse part has weight 649928443 (109.91/col)
  188. Fri Mar 23 17:30:45 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  189. Fri Mar 23 17:31:17 2018 commencing Lanczos iteration (4 threads)
  190. Fri Mar 23 17:31:17 2018 memory use: 2259.2 MB
  191. Fri Mar 23 17:31:18 2018 restarting at iteration 1299 (dim = 82177)
  192. Fri Mar 23 17:31:39 2018 linear algebra at 1.4%, ETA 22h30m
  193. Fri Mar 23 17:31:43 2018 checkpointing every 270000 dimensions
  194. Sat Mar 24 15:32:04 2018 lanczos halted after 93504 iterations (dim = 5912861)
  195. Sat Mar 24 15:32:10 2018 recovered 29 nontrivial dependencies
  196. Sat Mar 24 15:32:11 2018 BLanczosTime: 79293
  197. Sat Mar 24 15:32:11 2018 elapsed time 22:01:34
  198. Sat Mar 24 18:22:56 2018
  199. Sat Mar 24 18:22:56 2018
  200. Sat Mar 24 18:22:56 2018 Msieve v. 1.54 (SVN 1018)
  201. Sat Mar 24 18:22:56 2018 random seeds: 9fa81e44 7d26b40f
  202. Sat Mar 24 18:22:56 2018 factoring 2499830250929377371615110582385094423403502627984885738837881195521490842836132126025582427792922041447461382151746121719936601309358197409471760186958718092614989 (163 digits)
  203. Sat Mar 24 18:22:56 2018 searching for 15-digit factors
  204. Sat Mar 24 18:22:57 2018 commencing number field sieve (163-digit input)
  205. Sat Mar 24 18:22:57 2018 R0: -19082686107906196762944828398604
  206. Sat Mar 24 18:22:57 2018 R1: 1881732516618913
  207. Sat Mar 24 18:22:57 2018 A0: -4701620952468620007188957972902640087
  208. Sat Mar 24 18:22:57 2018 A1: -1631530669598296050779238660793
  209. Sat Mar 24 18:22:57 2018 A2: 27727130106879955181681735
  210. Sat Mar 24 18:22:57 2018 A3: -5620908737842388651
  211. Sat Mar 24 18:22:57 2018 A4: 15986229733656
  212. Sat Mar 24 18:22:57 2018 A5: 987900
  213. Sat Mar 24 18:22:57 2018 skew 1613790.50, size 7.337e-016, alpha -6.035, combined = 9.389e-013 rroots = 3
  214. Sat Mar 24 18:22:57 2018
  215. Sat Mar 24 18:22:57 2018 commencing square root phase
  216. Sat Mar 24 18:22:57 2018 reading relations for dependency 1
  217. Sat Mar 24 18:22:58 2018 read 2955157 cycles
  218. Sat Mar 24 18:23:04 2018 cycles contain 9729346 unique relations
  219. Sat Mar 24 18:24:21 2018 read 9729346 relations
  220. Sat Mar 24 18:25:16 2018 multiplying 9729346 relations
  221. Sat Mar 24 18:36:56 2018 multiply complete, coefficients have about 557.32 million bits
  222. Sat Mar 24 18:37:00 2018 initial square root is modulo 100019
  223. Sat Mar 24 18:50:36 2018 sqrtTime: 1659
  224. Sat Mar 24 18:50:36 2018 p51 factor: 348010296756513495867714654936424379370686801942773
  225. Sat Mar 24 18:50:36 2018 p112 factor: 7183207721805977218696163044312195192711577852021127362209575912953870472360267091994509183354814160849368652793
  226. Sat Mar 24 18:50:36 2018 elapsed time 00:27:40
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