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  1. Mon Nov 12 22:07:56 2018  
  2. Mon Nov 12 22:07:56 2018  
  3. Mon Nov 12 22:07:56 2018  Msieve v. 1.53 (SVN 988M)
  4. Mon Nov 12 22:07:56 2018  random seeds: 50caedae d4851c83
  5. Mon Nov 12 22:07:56 2018  factoring 187356213175485563572087491162748918302681858467960231508450671807836347082558073395119158974499741707074447491578279478766847980388353841950999327822563484845429930836444946763187092370205109735543634093382332759171 (216 digits)
  6. Mon Nov 12 22:07:57 2018  searching for 15-digit factors
  7. Mon Nov 12 22:07:58 2018  commencing number field sieve (216-digit input)
  8. Mon Nov 12 22:07:58 2018  R0: -8505622518383218065593705986567993605799
  9. Mon Nov 12 22:07:58 2018  R1: 303476585554067369725285564806070272
  10. Mon Nov 12 22:07:58 2018  A0: -1728
  11. Mon Nov 12 22:07:58 2018  A1: -12096
  12. Mon Nov 12 22:07:58 2018  A2: -18144
  13. Mon Nov 12 22:07:58 2018  A3: -7056
  14. Mon Nov 12 22:07:58 2018  A4: 2352
  15. Mon Nov 12 22:07:58 2018  A5: 2058
  16. Mon Nov 12 22:07:58 2018  A6: 343
  17. Mon Nov 12 22:07:58 2018  skew 1.31, size 3.930e-12, alpha 0.057, combined = 3.026e-13 rroots = 6
  18. Mon Nov 12 22:07:58 2018  
  19. Mon Nov 12 22:07:58 2018  commencing relation filtering
  20. Mon Nov 12 22:07:58 2018  setting target matrix density to 125.0
  21. Mon Nov 12 22:07:58 2018  estimated available RAM is 32768.0 MB
  22. Mon Nov 12 22:07:58 2018  commencing duplicate removal, pass 1
  23. Mon Nov 12 22:08:10 2018  error -9 reading relation 1878496
  24. ...
  25. Tue Nov 13 00:15:31 2018  error -9 reading relation 244405333
  26. Tue Nov 13 00:15:57 2018  skipped 104 relations with b > 2^32
  27. Tue Nov 13 00:15:57 2018  skipped 1560 relations with composite factors
  28. Tue Nov 13 00:15:57 2018  found 50913666 hash collisions in 246864237 relations
  29. Tue Nov 13 00:15:57 2018  commencing duplicate removal, pass 2
  30. Tue Nov 13 00:19:20 2018  found 50843860 duplicates and 196020377 unique relations
  31. Tue Nov 13 00:19:20 2018  memory use: 1321.5 MB
  32. Tue Nov 13 00:19:20 2018  reading ideals above 179896320
  33. Tue Nov 13 00:19:20 2018  commencing singleton removal, initial pass
  34. Tue Nov 13 00:35:40 2018  memory use: 3012.0 MB
  35. Tue Nov 13 00:35:40 2018  reading all ideals from disk
  36. Tue Nov 13 00:35:41 2018  memory use: 3188.0 MB
  37. Tue Nov 13 00:35:47 2018  commencing in-memory singleton removal
  38. Tue Nov 13 00:35:53 2018  begin with 196020377 relations and 155742913 unique ideals
  39. Tue Nov 13 00:37:02 2018  reduce to 128763655 relations and 81684493 ideals in 13 passes
  40. Tue Nov 13 00:37:02 2018  max relations containing the same ideal: 32
  41. Tue Nov 13 00:37:12 2018  reading ideals above 720000
  42. Tue Nov 13 00:37:12 2018  commencing singleton removal, initial pass
  43. Tue Nov 13 00:52:03 2018  memory use: 2756.0 MB
  44. Tue Nov 13 00:52:03 2018  reading all ideals from disk
  45. Tue Nov 13 00:52:05 2018  memory use: 5025.8 MB
  46. Tue Nov 13 00:52:16 2018  keeping 101082946 ideals with weight <= 200, target excess is 649445
  47. Tue Nov 13 00:52:28 2018  commencing in-memory singleton removal
  48. Tue Nov 13 00:52:37 2018  begin with 128763656 relations and 101082946 unique ideals
  49. Tue Nov 13 00:53:44 2018  reduce to 128761146 relations and 101080428 ideals in 7 passes
  50. Tue Nov 13 00:53:44 2018  max relations containing the same ideal: 200
  51. Tue Nov 13 00:54:32 2018  removing 10564056 relations and 8564056 ideals in 2000000 cliques
  52. Tue Nov 13 00:54:35 2018  commencing in-memory singleton removal
  53. Tue Nov 13 00:54:44 2018  begin with 118197090 relations and 101080428 unique ideals
  54. Tue Nov 13 00:56:03 2018  reduce to 117567385 relations and 91874376 ideals in 9 passes
  55. Tue Nov 13 00:56:03 2018  max relations containing the same ideal: 196
  56. Tue Nov 13 00:56:47 2018  removing 8004778 relations and 6004778 ideals in 2000000 cliques
  57. Tue Nov 13 00:56:50 2018  commencing in-memory singleton removal
  58. Tue Nov 13 00:56:57 2018  begin with 109562607 relations and 91874376 unique ideals
  59. Tue Nov 13 00:57:54 2018  reduce to 109146030 relations and 85445715 ideals in 7 passes
  60. Tue Nov 13 00:57:54 2018  max relations containing the same ideal: 188
  61. Tue Nov 13 00:58:35 2018  removing 7251282 relations and 5251282 ideals in 2000000 cliques
  62. Tue Nov 13 00:58:38 2018  commencing in-memory singleton removal
  63. Tue Nov 13 00:58:45 2018  begin with 101894748 relations and 85445715 unique ideals
  64. Tue Nov 13 00:59:37 2018  reduce to 101531826 relations and 79825177 ideals in 7 passes
  65. Tue Nov 13 00:59:37 2018  max relations containing the same ideal: 184
  66. Tue Nov 13 01:00:16 2018  removing 6860228 relations and 4860228 ideals in 2000000 cliques
  67. Tue Nov 13 01:00:19 2018  commencing in-memory singleton removal
  68. Tue Nov 13 01:00:25 2018  begin with 94671598 relations and 79825177 unique ideals
  69. Tue Nov 13 01:01:14 2018  reduce to 94334011 relations and 74621256 ideals in 7 passes
  70. Tue Nov 13 01:01:14 2018  max relations containing the same ideal: 172
  71. Tue Nov 13 01:01:50 2018  removing 6612868 relations and 4612868 ideals in 2000000 cliques
  72. Tue Nov 13 01:01:52 2018  commencing in-memory singleton removal
  73. Tue Nov 13 01:01:58 2018  begin with 87721143 relations and 74621256 unique ideals
  74. Tue Nov 13 01:02:43 2018  reduce to 87395900 relations and 69676869 ideals in 7 passes
  75. Tue Nov 13 01:02:43 2018  max relations containing the same ideal: 163
  76. Tue Nov 13 01:03:16 2018  removing 6438016 relations and 4438016 ideals in 2000000 cliques
  77. Tue Nov 13 01:03:18 2018  commencing in-memory singleton removal
  78. Tue Nov 13 01:03:24 2018  begin with 80957884 relations and 69676869 unique ideals
  79. Tue Nov 13 01:03:59 2018  reduce to 80633492 relations and 64907970 ideals in 6 passes
  80. Tue Nov 13 01:03:59 2018  max relations containing the same ideal: 156
  81. Tue Nov 13 01:04:30 2018  removing 6303663 relations and 4303663 ideals in 2000000 cliques
  82. Tue Nov 13 01:04:32 2018  commencing in-memory singleton removal
  83. Tue Nov 13 01:04:37 2018  begin with 74329829 relations and 64907970 unique ideals
  84. Tue Nov 13 01:05:15 2018  reduce to 74003051 relations and 60270611 ideals in 7 passes
  85. Tue Nov 13 01:05:15 2018  max relations containing the same ideal: 147
  86. Tue Nov 13 01:05:43 2018  removing 6205485 relations and 4205485 ideals in 2000000 cliques
  87. Tue Nov 13 01:05:45 2018  commencing in-memory singleton removal
  88. Tue Nov 13 01:05:50 2018  begin with 67797566 relations and 60270611 unique ideals
  89. Tue Nov 13 01:06:19 2018  reduce to 67461999 relations and 55721680 ideals in 6 passes
  90. Tue Nov 13 01:06:19 2018  max relations containing the same ideal: 139
  91. Tue Nov 13 01:06:45 2018  removing 6126730 relations and 4126730 ideals in 2000000 cliques
  92. Tue Nov 13 01:06:47 2018  commencing in-memory singleton removal
  93. Tue Nov 13 01:06:51 2018  begin with 61335269 relations and 55721680 unique ideals
  94. Tue Nov 13 01:07:21 2018  reduce to 60985489 relations and 51236183 ideals in 7 passes
  95. Tue Nov 13 01:07:21 2018  max relations containing the same ideal: 129
  96. Tue Nov 13 01:07:45 2018  removing 6060176 relations and 4060176 ideals in 2000000 cliques
  97. Tue Nov 13 01:07:47 2018  commencing in-memory singleton removal
  98. Tue Nov 13 01:07:50 2018  begin with 54925313 relations and 51236183 unique ideals
  99. Tue Nov 13 01:08:14 2018  reduce to 54554304 relations and 46794514 ideals in 6 passes
  100. Tue Nov 13 01:08:14 2018  max relations containing the same ideal: 121
  101. Tue Nov 13 01:08:35 2018  removing 6010756 relations and 4010756 ideals in 2000000 cliques
  102. Tue Nov 13 01:08:37 2018  commencing in-memory singleton removal
  103. Tue Nov 13 01:08:40 2018  begin with 48543548 relations and 46794514 unique ideals
  104. Tue Nov 13 01:09:04 2018  reduce to 48140465 relations and 42368110 ideals in 7 passes
  105. Tue Nov 13 01:09:04 2018  max relations containing the same ideal: 110
  106. Tue Nov 13 01:09:22 2018  removing 5978702 relations and 3978702 ideals in 2000000 cliques
  107. Tue Nov 13 01:09:24 2018  commencing in-memory singleton removal
  108. Tue Nov 13 01:09:27 2018  begin with 42161763 relations and 42368110 unique ideals
  109. Tue Nov 13 01:09:47 2018  reduce to 41707577 relations and 37919195 ideals in 7 passes
  110. Tue Nov 13 01:09:47 2018  max relations containing the same ideal: 98
  111. Tue Nov 13 01:10:03 2018  removing 5969655 relations and 3969655 ideals in 2000000 cliques
  112. Tue Nov 13 01:10:05 2018  commencing in-memory singleton removal
  113. Tue Nov 13 01:10:07 2018  begin with 35737922 relations and 37919195 unique ideals
  114. Tue Nov 13 01:10:27 2018  reduce to 35191507 relations and 33381145 ideals in 8 passes
  115. Tue Nov 13 01:10:27 2018  max relations containing the same ideal: 89
  116. Tue Nov 13 01:10:40 2018  removing 3556712 relations and 2499707 ideals in 1057005 cliques
  117. Tue Nov 13 01:10:42 2018  commencing in-memory singleton removal
  118. Tue Nov 13 01:10:44 2018  begin with 31634795 relations and 33381145 unique ideals
  119. Tue Nov 13 01:10:59 2018  reduce to 31371851 relations and 30611380 ideals in 7 passes
  120. Tue Nov 13 01:10:59 2018  max relations containing the same ideal: 84
  121. Tue Nov 13 01:11:14 2018  relations with 0 large ideals: 49195
  122. Tue Nov 13 01:11:14 2018  relations with 1 large ideals: 13288
  123. Tue Nov 13 01:11:14 2018  relations with 2 large ideals: 141566
  124. Tue Nov 13 01:11:14 2018  relations with 3 large ideals: 900328
  125. Tue Nov 13 01:11:14 2018  relations with 4 large ideals: 3103690
  126. Tue Nov 13 01:11:14 2018  relations with 5 large ideals: 6390750
  127. Tue Nov 13 01:11:14 2018  relations with 6 large ideals: 8232040
  128. Tue Nov 13 01:11:14 2018  relations with 7+ large ideals: 12540994
  129. Tue Nov 13 01:11:14 2018  commencing 2-way merge
  130. Tue Nov 13 01:11:31 2018  reduce to 21456938 relation sets and 20696467 unique ideals
  131. Tue Nov 13 01:11:31 2018  commencing full merge
  132. Tue Nov 13 01:19:36 2018  memory use: 2793.8 MB
  133. Tue Nov 13 01:19:41 2018  found 9517601 cycles, need 9510666
  134. Tue Nov 13 01:19:41 2018  weight of 9510666 cycles is about 1141300788 (120.00/cycle)
  135. Tue Nov 13 01:19:41 2018  distribution of cycle lengths:
  136. Tue Nov 13 01:19:41 2018  1 relations: 341449
  137. Tue Nov 13 01:19:41 2018  2 relations: 489298
  138. Tue Nov 13 01:19:41 2018  3 relations: 601308
  139. Tue Nov 13 01:19:41 2018  4 relations: 647227
  140. Tue Nov 13 01:19:41 2018  5 relations: 679395
  141. Tue Nov 13 01:19:41 2018  6 relations: 687996
  142. Tue Nov 13 01:19:41 2018  7 relations: 685033
  143. Tue Nov 13 01:19:41 2018  8 relations: 663204
  144. Tue Nov 13 01:19:41 2018  9 relations: 627339
  145. Tue Nov 13 01:19:41 2018  10+ relations: 4088417
  146. Tue Nov 13 01:19:41 2018  heaviest cycle: 28 relations
  147. Tue Nov 13 01:19:45 2018  commencing cycle optimization
  148. Tue Nov 13 01:20:07 2018  start with 88923910 relations
  149. Tue Nov 13 01:24:09 2018  pruned 4559705 relations
  150. Tue Nov 13 01:24:09 2018  memory use: 2221.4 MB
  151. Tue Nov 13 01:24:09 2018  distribution of cycle lengths:
  152. Tue Nov 13 01:24:09 2018  1 relations: 341449
  153. Tue Nov 13 01:24:09 2018  2 relations: 501033
  154. Tue Nov 13 01:24:09 2018  3 relations: 626343
  155. Tue Nov 13 01:24:09 2018  4 relations: 675741
  156. Tue Nov 13 01:24:09 2018  5 relations: 716646
  157. Tue Nov 13 01:24:09 2018  6 relations: 726343
  158. Tue Nov 13 01:24:09 2018  7 relations: 727015
  159. Tue Nov 13 01:24:09 2018  8 relations: 701120
  160. Tue Nov 13 01:24:09 2018  9 relations: 663066
  161. Tue Nov 13 01:24:09 2018  10+ relations: 3831910
  162. Tue Nov 13 01:24:09 2018  heaviest cycle: 28 relations
  163. Tue Nov 13 01:24:31 2018  RelProcTime: 5727
  164. Tue Nov 13 01:24:31 2018  
  165. Tue Nov 13 01:24:31 2018  commencing linear algebra
  166. Tue Nov 13 01:24:32 2018  read 9510666 cycles
  167. Tue Nov 13 01:24:54 2018  cycles contain 30973143 unique relations
  168. Tue Nov 13 01:29:00 2018  read 30973143 relations
  169. Tue Nov 13 01:30:05 2018  using 20 quadratic characters above 4294917295
  170. Tue Nov 13 01:31:53 2018  building initial matrix
  171. Tue Nov 13 01:37:13 2018  memory use: 3968.5 MB
  172. Tue Nov 13 01:37:20 2018  read 9510666 cycles
  173. Tue Nov 13 01:37:21 2018  matrix is 9510489 x 9510666 (4444.2 MB) with weight 1271837548 (133.73/col)
  174. Tue Nov 13 01:37:21 2018  sparse part has weight 1060412104 (111.50/col)
  175. Tue Nov 13 01:38:59 2018  filtering completed in 2 passes
  176. Tue Nov 13 01:39:00 2018  matrix is 9510439 x 9510616 (4444.2 MB) with weight 1271836162 (133.73/col)
  177. Tue Nov 13 01:39:00 2018  sparse part has weight 1060411786 (111.50/col)
  178. Tue Nov 13 01:39:31 2018  matrix starts at (0, 0)
  179. Tue Nov 13 01:39:32 2018  matrix is 9510439 x 9510616 (4444.2 MB) with weight 1271836162 (133.73/col)
  180. Tue Nov 13 01:39:32 2018  sparse part has weight 1060411786 (111.50/col)
  181. Tue Nov 13 01:39:32 2018  saving the first 48 matrix rows for later
  182. Tue Nov 13 01:39:34 2018  matrix includes 64 packed rows
  183. Tue Nov 13 01:39:35 2018  matrix is 9510391 x 9510616 (4266.2 MB) with weight 1094889921 (115.12/col)
  184. Tue Nov 13 01:39:35 2018  sparse part has weight 1023249002 (107.59/col)
  185. Tue Nov 13 01:39:35 2018  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  186. Tue Nov 13 01:40:19 2018  commencing Lanczos iteration (8 threads)
  187. Tue Nov 13 01:40:19 2018  memory use: 3639.8 MB
  188. Tue Nov 13 01:40:38 2018  linear algebra at 0.0%, ETA 31h20m
  189. Tue Nov 13 01:40:44 2018  checkpointing every 310000 dimensions
  190. Wed Nov 14 12:08:26 2018  
  191. Wed Nov 14 12:08:26 2018  
  192. Wed Nov 14 12:08:26 2018  Msieve v. 1.53 (SVN 988M)
  193. Wed Nov 14 12:08:26 2018  random seeds: 9f1da4d0 88a941e3
  194. Wed Nov 14 12:08:26 2018  factoring 187356213175485563572087491162748918302681858467960231508450671807836347082558073395119158974499741707074447491578279478766847980388353841950999327822563484845429930836444946763187092370205109735543634093382332759171 (216 digits)
  195. Wed Nov 14 12:08:27 2018  searching for 15-digit factors
  196. Wed Nov 14 12:08:28 2018  commencing number field sieve (216-digit input)
  197. Wed Nov 14 12:08:28 2018  R0: -8505622518383218065593705986567993605799
  198. Wed Nov 14 12:08:28 2018  R1: 303476585554067369725285564806070272
  199. Wed Nov 14 12:08:28 2018  A0: -1728
  200. Wed Nov 14 12:08:28 2018  A1: -12096
  201. Wed Nov 14 12:08:28 2018  A2: -18144
  202. Wed Nov 14 12:08:28 2018  A3: -7056
  203. Wed Nov 14 12:08:28 2018  A4: 2352
  204. Wed Nov 14 12:08:28 2018  A5: 2058
  205. Wed Nov 14 12:08:28 2018  A6: 343
  206. Wed Nov 14 12:08:28 2018  skew 1.31, size 3.930e-12, alpha 0.057, combined = 3.026e-13 rroots = 6
  207. Wed Nov 14 12:08:28 2018  
  208. Wed Nov 14 12:08:28 2018  commencing linear algebra
  209. Wed Nov 14 12:08:32 2018  matrix starts at (0, 0)
  210. Wed Nov 14 12:08:33 2018  matrix is 9510439 x 9510616 (4444.2 MB) with weight 1271836162 (133.73/col)
  211. Wed Nov 14 12:08:33 2018  sparse part has weight 1060411786 (111.50/col)
  212. Wed Nov 14 12:08:33 2018  saving the first 48 matrix rows for later
  213. Wed Nov 14 12:08:34 2018  matrix includes 64 packed rows
  214. Wed Nov 14 12:08:35 2018  matrix is 9510391 x 9510616 (4266.2 MB) with weight 1094889921 (115.12/col)
  215. Wed Nov 14 12:08:35 2018  sparse part has weight 1023249002 (107.59/col)
  216. Wed Nov 14 12:08:35 2018  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  217. Wed Nov 14 12:09:19 2018  commencing Lanczos iteration (8 threads)
  218. Wed Nov 14 12:09:19 2018  memory use: 3639.8 MB
  219. Wed Nov 14 12:09:19 2018  restarting at iteration 58833 (dim = 3720063)
  220. Wed Nov 14 12:09:37 2018  linear algebra at 39.1%, ETA 19h 6m
  221. Wed Nov 14 12:09:42 2018  checkpointing every 310000 dimensions
  222. Thu Nov 15 06:29:57 2018  lanczos halted after 150407 iterations (dim = 9510387)
  223. Thu Nov 15 06:30:03 2018  recovered 32 nontrivial dependencies
  224. Thu Nov 15 06:30:05 2018  BLanczosTime: 66097
  225. Thu Nov 15 06:30:05 2018  
  226. Thu Nov 15 06:30:05 2018  commencing square root phase
  227. Thu Nov 15 06:30:05 2018  reading relations for dependency 1
  228. Thu Nov 15 06:30:07 2018  read 4756853 cycles
  229. Thu Nov 15 06:30:16 2018  cycles contain 15491054 unique relations
  230. Thu Nov 15 06:33:27 2018  read 15491054 relations
  231. Thu Nov 15 06:34:32 2018  multiplying 15491054 relations
  232. Thu Nov 15 06:44:18 2018  multiply complete, coefficients have about 522.46 million bits
  233. Thu Nov 15 06:44:21 2018  initial square root is modulo 2368934297
  234. Thu Nov 15 06:54:37 2018  sqrtTime: 1472
  235. Thu Nov 15 06:54:37 2018  p79 factor: 2173490914033698117909626211813396151412899143869915957685439798949749590670711
  236. Thu Nov 15 06:54:37 2018  p137 factor: 86200596453278187345081680780468046143825432511108489591875040753182501848899394085656044919015110975437775525658932669157406127087307861
  237. Thu Nov 15 06:54:37 2018  elapsed time 18:46:11
RAW Paste Data
Ledger Nano X - The secure hardware wallet
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