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  1. Mon Nov  5 20:14:23 2018  
  2. Mon Nov  5 20:14:23 2018  
  3. Mon Nov  5 20:14:23 2018  Msieve v. 1.53 (SVN 988M)
  4. Mon Nov  5 20:14:23 2018  random seeds: 6763642d a64c62e9
  5. Mon Nov  5 20:14:23 2018  factoring 543395488430202013023992178680553448927060329330013130821938932173903255312757315391758634905078885319803332677235378950895288741125449565712778242190728813603053898620689977188481489946669202736186451797218419504801 (216 digits)
  6. Mon Nov  5 20:14:23 2018  searching for 15-digit factors
  7. Mon Nov  5 20:14:25 2018  commencing number field sieve (216-digit input)
  8. Mon Nov  5 20:14:25 2018  R0: 858576519383732875273928972042726910726848754157383343
  9. Mon Nov  5 20:14:25 2018  R1: -1
  10. Mon Nov  5 20:14:25 2018  A0: 1
  11. Mon Nov  5 20:14:25 2018  A1: 1
  12. Mon Nov  5 20:14:25 2018  A2: 1
  13. Mon Nov  5 20:14:25 2018  A3: 1
  14. Mon Nov  5 20:14:25 2018  A4: 1
  15. Mon Nov  5 20:14:25 2018  skew 1.00, size 5.464e-22, alpha 1.694, combined = 4.017e-13 rroots = 0
  16. Mon Nov  5 20:14:25 2018  
  17. Mon Nov  5 20:14:25 2018  commencing relation filtering
  18. Mon Nov  5 20:14:25 2018  setting target matrix density to 130.0
  19. Mon Nov  5 20:14:25 2018  estimated available RAM is 32768.0 MB
  20. Mon Nov  5 20:14:25 2018  commencing duplicate removal, pass 1
  21. Mon Nov  5 20:15:48 2018  error -9 reading relation 14477212
  22. ...
  23. Tue Nov  6 00:35:07 2018  error -9 reading relation 253624803
  24. Tue Nov  6 00:35:31 2018  skipped 481 relations with b > 2^32
  25. Tue Nov  6 00:35:31 2018  skipped 1286 relations with composite factors
  26. Tue Nov  6 00:35:31 2018  found 53401067 hash collisions in 257325655 relations
  27. Tue Nov  6 00:35:31 2018  commencing duplicate removal, pass 2
  28. Tue Nov  6 00:37:00 2018  found 55110589 duplicates and 202215066 unique relations
  29. Tue Nov  6 00:37:00 2018  memory use: 1321.5 MB
  30. Tue Nov  6 00:37:00 2018  reading ideals above 119996416
  31. Tue Nov  6 00:37:00 2018  commencing singleton removal, initial pass
  32. Tue Nov  6 00:51:15 2018  memory use: 3012.0 MB
  33. Tue Nov  6 00:51:16 2018  reading all ideals from disk
  34. Tue Nov  6 00:51:18 2018  memory use: 3683.4 MB
  35. Tue Nov  6 00:51:25 2018  commencing in-memory singleton removal
  36. Tue Nov  6 00:51:32 2018  begin with 202215066 relations and 160639131 unique ideals
  37. Tue Nov  6 00:52:42 2018  reduce to 141104856 relations and 93937711 ideals in 11 passes
  38. Tue Nov  6 00:52:42 2018  max relations containing the same ideal: 52
  39. Tue Nov  6 00:52:53 2018  reading ideals above 720000
  40. Tue Nov  6 00:52:53 2018  commencing singleton removal, initial pass
  41. Tue Nov  6 01:05:59 2018  memory use: 3012.0 MB
  42. Tue Nov  6 01:05:59 2018  reading all ideals from disk
  43. Tue Nov  6 01:06:03 2018  memory use: 5424.8 MB
  44. Tue Nov  6 01:06:14 2018  keeping 106925370 ideals with weight <= 200, target excess is 693901
  45. Tue Nov  6 01:06:26 2018  commencing in-memory singleton removal
  46. Tue Nov  6 01:06:35 2018  begin with 141104856 relations and 106925370 unique ideals
  47. Tue Nov  6 01:07:15 2018  reduce to 141104104 relations and 106924617 ideals in 4 passes
  48. Tue Nov  6 01:07:15 2018  max relations containing the same ideal: 200
  49. Tue Nov  6 01:08:03 2018  removing 9784985 relations and 7784985 ideals in 2000000 cliques
  50. Tue Nov  6 01:08:06 2018  commencing in-memory singleton removal
  51. Tue Nov  6 01:08:14 2018  begin with 131319119 relations and 106924617 unique ideals
  52. Tue Nov  6 01:09:19 2018  reduce to 130769437 relations and 98579507 ideals in 7 passes
  53. Tue Nov  6 01:09:19 2018  max relations containing the same ideal: 198
  54. Tue Nov  6 01:10:04 2018  removing 7498138 relations and 5498138 ideals in 2000000 cliques
  55. Tue Nov  6 01:10:07 2018  commencing in-memory singleton removal
  56. Tue Nov  6 01:10:15 2018  begin with 123271299 relations and 98579507 unique ideals
  57. Tue Nov  6 01:11:07 2018  reduce to 122907231 relations and 92711239 ideals in 6 passes
  58. Tue Nov  6 01:11:07 2018  max relations containing the same ideal: 191
  59. Tue Nov  6 01:11:49 2018  removing 6832660 relations and 4832660 ideals in 2000000 cliques
  60. Tue Nov  6 01:11:51 2018  commencing in-memory singleton removal
  61. Tue Nov  6 01:11:59 2018  begin with 116074571 relations and 92711239 unique ideals
  62. Tue Nov  6 01:12:56 2018  reduce to 115759823 relations and 87558743 ideals in 7 passes
  63. Tue Nov  6 01:12:56 2018  max relations containing the same ideal: 188
  64. Tue Nov  6 01:13:35 2018  removing 6489392 relations and 4489392 ideals in 2000000 cliques
  65. Tue Nov  6 01:13:38 2018  commencing in-memory singleton removal
  66. Tue Nov  6 01:13:45 2018  begin with 109270431 relations and 87558743 unique ideals
  67. Tue Nov  6 01:14:38 2018  reduce to 108977647 relations and 82771644 ideals in 7 passes
  68. Tue Nov  6 01:14:38 2018  max relations containing the same ideal: 181
  69. Tue Nov  6 01:15:16 2018  removing 6277599 relations and 4277599 ideals in 2000000 cliques
  70. Tue Nov  6 01:15:18 2018  commencing in-memory singleton removal
  71. Tue Nov  6 01:15:25 2018  begin with 102700048 relations and 82771644 unique ideals
  72. Tue Nov  6 01:16:14 2018  reduce to 102417726 relations and 78206911 ideals in 7 passes
  73. Tue Nov  6 01:16:14 2018  max relations containing the same ideal: 173
  74. Tue Nov  6 01:16:50 2018  removing 6131970 relations and 4131970 ideals in 2000000 cliques
  75. Tue Nov  6 01:16:52 2018  commencing in-memory singleton removal
  76. Tue Nov  6 01:16:58 2018  begin with 96285756 relations and 78206911 unique ideals
  77. Tue Nov  6 01:17:45 2018  reduce to 96005391 relations and 73789474 ideals in 7 passes
  78. Tue Nov  6 01:17:45 2018  max relations containing the same ideal: 166
  79. Tue Nov  6 01:18:18 2018  removing 6030628 relations and 4030628 ideals in 2000000 cliques
  80. Tue Nov  6 01:18:20 2018  commencing in-memory singleton removal
  81. Tue Nov  6 01:18:26 2018  begin with 89974763 relations and 73789474 unique ideals
  82. Tue Nov  6 01:19:03 2018  reduce to 89690036 relations and 69468623 ideals in 6 passes
  83. Tue Nov  6 01:19:03 2018  max relations containing the same ideal: 158
  84. Tue Nov  6 01:19:34 2018  removing 5962591 relations and 3962591 ideals in 2000000 cliques
  85. Tue Nov  6 01:19:37 2018  commencing in-memory singleton removal
  86. Tue Nov  6 01:19:42 2018  begin with 83727445 relations and 69468623 unique ideals
  87. Tue Nov  6 01:20:16 2018  reduce to 83435375 relations and 65207952 ideals in 6 passes
  88. Tue Nov  6 01:20:16 2018  max relations containing the same ideal: 151
  89. Tue Nov  6 01:20:45 2018  removing 5918068 relations and 3918068 ideals in 2000000 cliques
  90. Tue Nov  6 01:20:47 2018  commencing in-memory singleton removal
  91. Tue Nov  6 01:20:52 2018  begin with 77517307 relations and 65207952 unique ideals
  92. Tue Nov  6 01:21:28 2018  reduce to 77210924 relations and 60976879 ideals in 7 passes
  93. Tue Nov  6 01:21:28 2018  max relations containing the same ideal: 143
  94. Tue Nov  6 01:21:56 2018  removing 5893633 relations and 3893633 ideals in 2000000 cliques
  95. Tue Nov  6 01:21:58 2018  commencing in-memory singleton removal
  96. Tue Nov  6 01:22:02 2018  begin with 71317291 relations and 60976879 unique ideals
  97. Tue Nov  6 01:22:31 2018  reduce to 70991825 relations and 56750191 ideals in 6 passes
  98. Tue Nov  6 01:22:31 2018  max relations containing the same ideal: 138
  99. Tue Nov  6 01:22:56 2018  removing 5890369 relations and 3890369 ideals in 2000000 cliques
  100. Tue Nov  6 01:22:58 2018  commencing in-memory singleton removal
  101. Tue Nov  6 01:23:02 2018  begin with 65101456 relations and 56750191 unique ideals
  102. Tue Nov  6 01:23:28 2018  reduce to 64750991 relations and 52500449 ideals in 6 passes
  103. Tue Nov  6 01:23:28 2018  max relations containing the same ideal: 127
  104. Tue Nov  6 01:23:51 2018  removing 5906113 relations and 3906113 ideals in 2000000 cliques
  105. Tue Nov  6 01:23:53 2018  commencing in-memory singleton removal
  106. Tue Nov  6 01:23:57 2018  begin with 58844878 relations and 52500449 unique ideals
  107. Tue Nov  6 01:24:24 2018  reduce to 58460081 relations and 48198798 ideals in 7 passes
  108. Tue Nov  6 01:24:24 2018  max relations containing the same ideal: 120
  109. Tue Nov  6 01:24:45 2018  removing 5940906 relations and 3940906 ideals in 2000000 cliques
  110. Tue Nov  6 01:24:47 2018  commencing in-memory singleton removal
  111. Tue Nov  6 01:24:50 2018  begin with 52519175 relations and 48198798 unique ideals
  112. Tue Nov  6 01:25:17 2018  reduce to 52088494 relations and 43814349 ideals in 8 passes
  113. Tue Nov  6 01:25:17 2018  max relations containing the same ideal: 112
  114. Tue Nov  6 01:25:36 2018  removing 5995776 relations and 3995776 ideals in 2000000 cliques
  115. Tue Nov  6 01:25:38 2018  commencing in-memory singleton removal
  116. Tue Nov  6 01:25:41 2018  begin with 46092718 relations and 43814349 unique ideals
  117. Tue Nov  6 01:26:04 2018  reduce to 45597770 relations and 39307002 ideals in 8 passes
  118. Tue Nov  6 01:26:04 2018  max relations containing the same ideal: 102
  119. Tue Nov  6 01:26:21 2018  removing 6079665 relations and 4079665 ideals in 2000000 cliques
  120. Tue Nov  6 01:26:23 2018  commencing in-memory singleton removal
  121. Tue Nov  6 01:26:25 2018  begin with 39518105 relations and 39307002 unique ideals
  122. Tue Nov  6 01:26:43 2018  reduce to 38939087 relations and 34626254 ideals in 7 passes
  123. Tue Nov  6 01:26:43 2018  max relations containing the same ideal: 93
  124. Tue Nov  6 01:26:57 2018  removing 6178795 relations and 4178795 ideals in 2000000 cliques
  125. Tue Nov  6 01:26:59 2018  commencing in-memory singleton removal
  126. Tue Nov  6 01:27:01 2018  begin with 32760292 relations and 34626254 unique ideals
  127. Tue Nov  6 01:27:17 2018  reduce to 32056460 relations and 29712622 ideals in 8 passes
  128. Tue Nov  6 01:27:17 2018  max relations containing the same ideal: 79
  129. Tue Nov  6 01:27:29 2018  removing 5105670 relations and 3566758 ideals in 1538912 cliques
  130. Tue Nov  6 01:27:31 2018  commencing in-memory singleton removal
  131. Tue Nov  6 01:27:32 2018  begin with 26950790 relations and 29712622 unique ideals
  132. Tue Nov  6 01:27:47 2018  reduce to 26346313 relations and 25515790 ideals in 9 passes
  133. Tue Nov  6 01:27:47 2018  max relations containing the same ideal: 73
  134. Tue Nov  6 01:27:57 2018  removing 177935 relations and 152338 ideals in 25597 cliques
  135. Tue Nov  6 01:27:58 2018  commencing in-memory singleton removal
  136. Tue Nov  6 01:27:59 2018  begin with 26168378 relations and 25515790 unique ideals
  137. Tue Nov  6 01:28:06 2018  reduce to 26167669 relations and 25362741 ideals in 4 passes
  138. Tue Nov  6 01:28:06 2018  max relations containing the same ideal: 73
  139. Tue Nov  6 01:28:09 2018  relations with 0 large ideals: 55555
  140. Tue Nov  6 01:28:09 2018  relations with 1 large ideals: 13252
  141. Tue Nov  6 01:28:09 2018  relations with 2 large ideals: 162984
  142. Tue Nov  6 01:28:09 2018  relations with 3 large ideals: 979072
  143. Tue Nov  6 01:28:09 2018  relations with 4 large ideals: 3209834
  144. Tue Nov  6 01:28:09 2018  relations with 5 large ideals: 6982417
  145. Tue Nov  6 01:28:09 2018  relations with 6 large ideals: 6940876
  146. Tue Nov  6 01:28:09 2018  relations with 7+ large ideals: 7823679
  147. Tue Nov  6 01:28:09 2018  commencing 2-way merge
  148. Tue Nov  6 01:28:22 2018  reduce to 17096462 relation sets and 16291534 unique ideals
  149. Tue Nov  6 01:28:22 2018  commencing full merge
  150. Tue Nov  6 01:33:56 2018  memory use: 2037.4 MB
  151. Tue Nov  6 01:33:59 2018  found 7739668 cycles, need 7705734
  152. Tue Nov  6 01:33:59 2018  weight of 7705734 cycles is about 847652734 (110.00/cycle)
  153. Tue Nov  6 01:33:59 2018  distribution of cycle lengths:
  154. Tue Nov  6 01:33:59 2018  1 relations: 356126
  155. Tue Nov  6 01:33:59 2018  2 relations: 459185
  156. Tue Nov  6 01:33:59 2018  3 relations: 523075
  157. Tue Nov  6 01:33:59 2018  4 relations: 543942
  158. Tue Nov  6 01:33:59 2018  5 relations: 558745
  159. Tue Nov  6 01:33:59 2018  6 relations: 556180
  160. Tue Nov  6 01:33:59 2018  7 relations: 545151
  161. Tue Nov  6 01:33:59 2018  8 relations: 524636
  162. Tue Nov  6 01:33:59 2018  9 relations: 493982
  163. Tue Nov  6 01:33:59 2018  10+ relations: 3144712
  164. Tue Nov  6 01:33:59 2018  heaviest cycle: 28 relations
  165. Tue Nov  6 01:34:02 2018  commencing cycle optimization
  166. Tue Nov  6 01:34:18 2018  start with 69422750 relations
  167. Tue Nov  6 01:37:14 2018  pruned 3280708 relations
  168. Tue Nov  6 01:37:14 2018  memory use: 1795.5 MB
  169. Tue Nov  6 01:37:14 2018  distribution of cycle lengths:
  170. Tue Nov  6 01:37:14 2018  1 relations: 356126
  171. Tue Nov  6 01:37:14 2018  2 relations: 468907
  172. Tue Nov  6 01:37:14 2018  3 relations: 544594
  173. Tue Nov  6 01:37:14 2018  4 relations: 566757
  174. Tue Nov  6 01:37:14 2018  5 relations: 588055
  175. Tue Nov  6 01:37:14 2018  6 relations: 584814
  176. Tue Nov  6 01:37:14 2018  7 relations: 575991
  177. Tue Nov  6 01:37:14 2018  8 relations: 551902
  178. Tue Nov  6 01:37:14 2018  9 relations: 519207
  179. Tue Nov  6 01:37:14 2018  10+ relations: 2949381
  180. Tue Nov  6 01:37:14 2018  heaviest cycle: 28 relations
  181. Tue Nov  6 01:37:31 2018  RelProcTime: 5204
  182. Tue Nov  6 01:37:31 2018  
  183. Tue Nov  6 01:37:31 2018  commencing linear algebra
  184. Tue Nov  6 01:37:32 2018  read 7705734 cycles
  185. Tue Nov  6 01:37:49 2018  cycles contain 25718261 unique relations
  186. Tue Nov  6 01:39:34 2018  read 25718261 relations
  187. Tue Nov  6 01:40:24 2018  using 20 quadratic characters above 4294917295
  188. Tue Nov  6 01:41:53 2018  building initial matrix
  189. Tue Nov  6 01:45:28 2018  memory use: 3170.8 MB
  190. Tue Nov  6 01:45:35 2018  read 7705734 cycles
  191. Tue Nov  6 01:45:35 2018  matrix is 7705557 x 7705734 (3358.6 MB) with weight 963910087 (125.09/col)
  192. Tue Nov  6 01:45:35 2018  sparse part has weight 795675322 (103.26/col)
  193. Tue Nov  6 01:46:50 2018  filtering completed in 2 passes
  194. Tue Nov  6 01:46:51 2018  matrix is 7705308 x 7705485 (3358.6 MB) with weight 963901310 (125.09/col)
  195. Tue Nov  6 01:46:51 2018  sparse part has weight 795672075 (103.26/col)
  196. Tue Nov  6 01:47:14 2018  matrix starts at (0, 0)
  197. Tue Nov  6 01:47:15 2018  matrix is 7705308 x 7705485 (3358.6 MB) with weight 963901310 (125.09/col)
  198. Tue Nov  6 01:47:15 2018  sparse part has weight 795672075 (103.26/col)
  199. Tue Nov  6 01:47:15 2018  saving the first 48 matrix rows for later
  200. Tue Nov  6 01:47:16 2018  matrix includes 64 packed rows
  201. Tue Nov  6 01:47:16 2018  matrix is 7705260 x 7705485 (3215.0 MB) with weight 822588815 (106.75/col)
  202. Tue Nov  6 01:47:16 2018  sparse part has weight 765737494 (99.38/col)
  203. Tue Nov  6 01:47:16 2018  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  204. Tue Nov  6 01:47:49 2018  commencing Lanczos iteration (8 threads)
  205. Tue Nov  6 01:47:49 2018  memory use: 2721.4 MB
  206. Tue Nov  6 01:48:04 2018  linear algebra at 0.0%, ETA 19h44m
  207. Tue Nov  6 01:48:08 2018  checkpointing every 410000 dimensions
  208. Tue Nov  6 20:41:56 2018  lanczos halted after 121853 iterations (dim = 7705260)
  209. Tue Nov  6 20:42:03 2018  recovered 37 nontrivial dependencies
  210. Tue Nov  6 20:42:04 2018  BLanczosTime: 68673
  211. Tue Nov  6 20:42:04 2018  
  212. Tue Nov  6 20:42:04 2018  commencing square root phase
  213. Tue Nov  6 20:42:04 2018  handling dependencies 1 to 64
  214. Tue Nov  6 20:42:04 2018  reading relations for dependency 1
  215. Tue Nov  6 20:42:05 2018  read 3850908 cycles
  216. Tue Nov  6 20:42:13 2018  cycles contain 12854594 unique relations
  217. Tue Nov  6 20:43:14 2018  read 12854594 relations
  218. Tue Nov  6 20:44:03 2018  multiplying 12854594 relations
  219. Tue Nov  6 20:47:17 2018  multiply complete, coefficients have about 325.16 million bits
  220. Tue Nov  6 20:47:18 2018  initial square root is modulo 683003
  221. Tue Nov  6 20:50:40 2018  sqrtTime: 516
  222. Tue Nov  6 20:50:40 2018  p83 factor: 25107879438441083657652645890558946677110211511839680836381378539514935020472826571
  223. Tue Nov  6 20:50:40 2018  p134 factor: 21642428615386913323517410398692019645251017474595264014900588640161039783337374694060861763248125268649327391990447655478683943144131
  224. Tue Nov  6 20:50:40 2018  elapsed time 20:39:55
RAW Paste Data
Ledger Nano X - The secure hardware wallet
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