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GW_8_262

CarlosPinho Jun 4th, 2016 68 Never
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  1. Tue Mar 18 18:06:32 2014  Msieve v. 1.52 (SVN unknown)
  2. Tue Mar 18 18:06:32 2014  random seeds: 88845c94 65ebb1e5
  3. Tue Mar 18 18:06:32 2014  factoring 11204714663031467067482995282076339971518946752062860752523469668019779357695659033187012755148734182831167288986522829639652267949439518226570841360063956782952734848667943437749 (179 digits)
  4. Tue Mar 18 18:06:32 2014  searching for 15-digit factors
  5. Tue Mar 18 18:06:33 2014  commencing number field sieve (179-digit input)
  6. Tue Mar 18 18:06:34 2014  R0: -2722258935367507707706996859454145691648
  7. Tue Mar 18 18:06:34 2014  R1: 1
  8. Tue Mar 18 18:06:34 2014  A0: -1
  9. Tue Mar 18 18:06:34 2014  A1: 0
  10. Tue Mar 18 18:06:34 2014  A2: 0
  11. Tue Mar 18 18:06:34 2014  A3: 0
  12. Tue Mar 18 18:06:34 2014  A4: 0
  13. Tue Mar 18 18:06:34 2014  A5: 0
  14. Tue Mar 18 18:06:34 2014  A6: 262
  15. Tue Mar 18 18:06:34 2014  skew 1.00, size 9.074e-12, alpha 0.120, combined = 5.790e-13 rroots = 2
  16. Tue Mar 18 18:06:34 2014  
  17. Tue Mar 18 18:06:34 2014  commencing relation filtering
  18. Tue Mar 18 18:06:34 2014  setting target matrix density to 116.0
  19. Tue Mar 18 18:06:34 2014  estimated available RAM is 16030.3 MB
  20. Tue Mar 18 18:06:34 2014  commencing duplicate removal, pass 1
  21. Tue Mar 18 18:09:50 2014  error -1 reading relation 42998965
  22. Tue Mar 18 18:09:50 2014  error -1 reading relation 42998966
  23. [ . . . 14,000 error (mostly -1 & -11) records removed . . . ]
  24. Tue Mar 18 18:10:49 2014  error -11 reading relation 55527982
  25. Tue Mar 18 18:10:49 2014  error -11 reading relation 55528212
  26. Tue Mar 18 18:10:49 2014  error -11 reading relation 55528245
  27. Tue Mar 18 18:10:49 2014  error -11 reading relation 55528275
  28. Tue Mar 18 18:10:49 2014  error -11 reading relation 55528565
  29. Tue Mar 18 18:10:49 2014  error -11 reading relation 55528767
  30. Tue Mar 18 18:10:49 2014  error -1 reading relation 55529132
  31. Tue Mar 18 18:13:54 2014  skipped 85 relations with b > 2^32
  32. Tue Mar 18 18:13:54 2014  found 4061818 hash collisions in 96148640 relations
  33. Tue Mar 18 18:14:08 2014  added 1219039 free relations
  34. Tue Mar 18 18:14:08 2014  commencing duplicate removal, pass 2
  35. Tue Mar 18 18:15:50 2014  found 0 duplicates and 97367679 unique relations
  36. Tue Mar 18 18:15:50 2014  memory use: 261.2 MB
  37. Tue Mar 18 18:15:50 2014  reading ideals above 80281600
  38. Tue Mar 18 18:15:50 2014  commencing singleton removal, initial pass
  39. Tue Mar 18 18:25:06 2014  memory use: 2756.0 MB
  40. Tue Mar 18 18:25:06 2014  reading all ideals from disk
  41. Tue Mar 18 18:25:17 2014  memory use: 1802.5 MB
  42. Tue Mar 18 18:25:20 2014  commencing in-memory singleton removal
  43. Tue Mar 18 18:25:23 2014  begin with 97367679 relations and 82363270 unique ideals
  44. Tue Mar 18 18:25:53 2014  reduce to 62713897 relations and 44153391 ideals in 13 passes
  45. Tue Mar 18 18:25:53 2014  max relations containing the same ideal: 36
  46. Tue Mar 18 18:25:56 2014  reading ideals above 720000
  47. Tue Mar 18 18:25:56 2014  commencing singleton removal, initial pass
  48. Tue Mar 18 18:33:42 2014  memory use: 1378.0 MB
  49. Tue Mar 18 18:33:42 2014  reading all ideals from disk
  50. Tue Mar 18 18:33:52 2014  memory use: 2398.6 MB
  51. Tue Mar 18 18:33:58 2014  keeping 53196366 ideals with weight <= 200, target excess is 324232
  52. Tue Mar 18 18:34:03 2014  commencing in-memory singleton removal
  53. Tue Mar 18 18:34:07 2014  begin with 62713898 relations and 53196366 unique ideals
  54. Tue Mar 18 18:34:29 2014  reduce to 62713405 relations and 53195870 ideals in 6 passes
  55. Tue Mar 18 18:34:29 2014  max relations containing the same ideal: 200
  56. Tue Mar 18 18:34:50 2014  removing 5598116 relations and 4598116 ideals in 1000000 cliques
  57. Tue Mar 18 18:34:52 2014  commencing in-memory singleton removal
  58. Tue Mar 18 18:34:55 2014  begin with 57115289 relations and 53195870 unique ideals
  59. Tue Mar 18 18:35:21 2014  reduce to 56726476 relations and 48201093 ideals in 8 passes
  60. Tue Mar 18 18:35:21 2014  max relations containing the same ideal: 197
  61. Tue Mar 18 18:35:39 2014  removing 4324252 relations and 3324253 ideals in 1000000 cliques
  62. Tue Mar 18 18:35:40 2014  commencing in-memory singleton removal
  63. Tue Mar 18 18:35:43 2014  begin with 52402224 relations and 48201093 unique ideals
  64. Tue Mar 18 18:36:07 2014  reduce to 52146484 relations and 44616641 ideals in 8 passes
  65. Tue Mar 18 18:36:07 2014  max relations containing the same ideal: 189
  66. Tue Mar 18 18:36:24 2014  removing 3933274 relations and 2933274 ideals in 1000000 cliques
  67. Tue Mar 18 18:36:25 2014  commencing in-memory singleton removal
  68. Tue Mar 18 18:36:27 2014  begin with 48213210 relations and 44616641 unique ideals
  69. Tue Mar 18 18:36:50 2014  reduce to 47987545 relations and 41453681 ideals in 8 passes
  70. Tue Mar 18 18:36:50 2014  max relations containing the same ideal: 178
  71. Tue Mar 18 18:37:05 2014  removing 3724501 relations and 2724501 ideals in 1000000 cliques
  72. Tue Mar 18 18:37:06 2014  commencing in-memory singleton removal
  73. Tue Mar 18 18:37:08 2014  begin with 44263044 relations and 41453681 unique ideals
  74. Tue Mar 18 18:37:26 2014  reduce to 44049416 relations and 38511566 ideals in 7 passes
  75. Tue Mar 18 18:37:26 2014  max relations containing the same ideal: 168
  76. Tue Mar 18 18:37:40 2014  removing 3590060 relations and 2590060 ideals in 1000000 cliques
  77. Tue Mar 18 18:37:41 2014  commencing in-memory singleton removal
  78. Tue Mar 18 18:37:43 2014  begin with 40459356 relations and 38511566 unique ideals
  79. Tue Mar 18 18:37:59 2014  reduce to 40249096 relations and 35707116 ideals in 7 passes
  80. Tue Mar 18 18:37:59 2014  max relations containing the same ideal: 160
  81. Tue Mar 18 18:38:12 2014  removing 3500621 relations and 2500621 ideals in 1000000 cliques
  82. Tue Mar 18 18:38:13 2014  commencing in-memory singleton removal
  83. Tue Mar 18 18:38:15 2014  begin with 36748475 relations and 35707116 unique ideals
  84. Tue Mar 18 18:38:29 2014  reduce to 36536138 relations and 32989586 ideals in 7 passes
  85. Tue Mar 18 18:38:29 2014  max relations containing the same ideal: 151
  86. Tue Mar 18 18:38:41 2014  removing 3435673 relations and 2435673 ideals in 1000000 cliques
  87. Tue Mar 18 18:38:42 2014  commencing in-memory singleton removal
  88. Tue Mar 18 18:38:44 2014  begin with 33100465 relations and 32989586 unique ideals
  89. Tue Mar 18 18:39:01 2014  reduce to 32877337 relations and 30325533 ideals in 9 passes
  90. Tue Mar 18 18:39:01 2014  max relations containing the same ideal: 139
  91. Tue Mar 18 18:39:11 2014  removing 3393031 relations and 2393031 ideals in 1000000 cliques
  92. Tue Mar 18 18:39:12 2014  commencing in-memory singleton removal
  93. Tue Mar 18 18:39:14 2014  begin with 29484306 relations and 30325533 unique ideals
  94. Tue Mar 18 18:39:27 2014  reduce to 29245499 relations and 27687694 ideals in 8 passes
  95. Tue Mar 18 18:39:27 2014  max relations containing the same ideal: 128
  96. Tue Mar 18 18:39:36 2014  removing 3365509 relations and 2365509 ideals in 1000000 cliques
  97. Tue Mar 18 18:39:37 2014  commencing in-memory singleton removal
  98. Tue Mar 18 18:39:38 2014  begin with 25879990 relations and 27687694 unique ideals
  99. Tue Mar 18 18:39:48 2014  reduce to 25611608 relations and 25046144 ideals in 7 passes
  100. Tue Mar 18 18:39:48 2014  max relations containing the same ideal: 115
  101. Tue Mar 18 18:39:57 2014  removing 868148 relations and 678794 ideals in 189354 cliques
  102. Tue Mar 18 18:39:57 2014  commencing in-memory singleton removal
  103. Tue Mar 18 18:39:58 2014  begin with 24743460 relations and 25046144 unique ideals
  104. Tue Mar 18 18:40:07 2014  reduce to 24724028 relations and 24347791 ideals in 6 passes
  105. Tue Mar 18 18:40:07 2014  max relations containing the same ideal: 113
  106. Tue Mar 18 18:40:18 2014  relations with 0 large ideals: 12415
  107. Tue Mar 18 18:40:18 2014  relations with 1 large ideals: 2369
  108. Tue Mar 18 18:40:18 2014  relations with 2 large ideals: 31795
  109. Tue Mar 18 18:40:18 2014  relations with 3 large ideals: 265989
  110. Tue Mar 18 18:40:18 2014  relations with 4 large ideals: 1215789
  111. Tue Mar 18 18:40:18 2014  relations with 5 large ideals: 3365735
  112. Tue Mar 18 18:40:18 2014  relations with 6 large ideals: 5856404
  113. Tue Mar 18 18:40:18 2014  relations with 7+ large ideals: 13973532
  114. Tue Mar 18 18:40:18 2014  commencing 2-way merge
  115. Tue Mar 18 18:40:28 2014  reduce to 16841692 relation sets and 16465455 unique ideals
  116. Tue Mar 18 18:40:28 2014  commencing full merge
  117. Tue Mar 18 18:45:19 2014  memory use: 2212.5 MB
  118. Tue Mar 18 18:45:20 2014  found 7666855 cycles, need 7649655
  119. Tue Mar 18 18:45:22 2014  weight of 7649655 cycles is about 887821930 (116.06/cycle)
  120. Tue Mar 18 18:45:22 2014  distribution of cycle lengths:
  121. Tue Mar 18 18:45:22 2014  1 relations: 287553
  122. Tue Mar 18 18:45:22 2014  2 relations: 469565
  123. Tue Mar 18 18:45:22 2014  3 relations: 564355
  124. Tue Mar 18 18:45:22 2014  4 relations: 585354
  125. Tue Mar 18 18:45:22 2014  5 relations: 598362
  126. Tue Mar 18 18:45:22 2014  6 relations: 586367
  127. Tue Mar 18 18:45:22 2014  7 relations: 571845
  128. Tue Mar 18 18:45:22 2014  8 relations: 540480
  129. Tue Mar 18 18:45:22 2014  9 relations: 503463
  130. Tue Mar 18 18:45:22 2014  10+ relations: 2942311
  131. Tue Mar 18 18:45:22 2014  heaviest cycle: 28 relations
  132. Tue Mar 18 18:45:24 2014  commencing cycle optimization
  133. Tue Mar 18 18:45:35 2014  start with 66379821 relations
  134. Tue Mar 18 18:47:29 2014  pruned 3163058 relations
  135. Tue Mar 18 18:47:29 2014  memory use: 1720.6 MB
  136. Tue Mar 18 18:47:29 2014  distribution of cycle lengths:
  137. Tue Mar 18 18:47:29 2014  1 relations: 287553
  138. Tue Mar 18 18:47:29 2014  2 relations: 482009
  139. Tue Mar 18 18:47:29 2014  3 relations: 589906
  140. Tue Mar 18 18:47:29 2014  4 relations: 611858
  141. Tue Mar 18 18:47:29 2014  5 relations: 630205
  142. Tue Mar 18 18:47:29 2014  6 relations: 615998
  143. Tue Mar 18 18:47:29 2014  7 relations: 602404
  144. Tue Mar 18 18:47:29 2014  8 relations: 565762
  145. Tue Mar 18 18:47:29 2014  9 relations: 525304
  146. Tue Mar 18 18:47:29 2014  10+ relations: 2738656
  147. Tue Mar 18 18:47:29 2014  heaviest cycle: 28 relations
  148. Tue Mar 18 18:47:42 2014  RelProcTime: 2468
  149. Tue Mar 18 18:47:42 2014  
  150. Tue Mar 18 18:47:42 2014  commencing linear algebra
  151. Tue Mar 18 18:47:42 2014  read 7649655 cycles
  152. Tue Mar 18 18:47:53 2014  cycles contain 24547460 unique relations
  153. Tue Mar 18 18:50:21 2014  read 24547460 relations
  154. Tue Mar 18 18:50:52 2014  using 20 quadratic characters above 1073741198
  155. Tue Mar 18 18:52:15 2014  building initial matrix
  156. Tue Mar 18 18:57:03 2014  memory use: 3215.4 MB
  157. Tue Mar 18 18:57:06 2014  read 7649655 cycles
  158. Tue Mar 18 18:57:07 2014  matrix is 7649481 x 7649655 (3471.7 MB) with weight 1006355363 (131.56/col)
  159. Tue Mar 18 18:57:07 2014  sparse part has weight 825927702 (107.97/col)
  160. Tue Mar 18 18:58:14 2014  filtering completed in 2 passes
  161. Tue Mar 18 18:58:16 2014  matrix is 7649435 x 7649611 (3471.7 MB) with weight 1006353739 (131.56/col)
  162. Tue Mar 18 18:58:16 2014  sparse part has weight 825927166 (107.97/col)
  163. Tue Mar 18 19:00:21 2014  matrix starts at (0, 0)
  164. Tue Mar 18 19:00:21 2014  matrix is 7649435 x 7649611 (3471.7 MB) with weight 1006353739 (131.56/col)
  165. Tue Mar 18 19:00:21 2014  sparse part has weight 825927166 (107.97/col)
  166. Tue Mar 18 19:00:21 2014  saving the first 48 matrix rows for later
  167. Tue Mar 18 19:00:23 2014  matrix includes 64 packed rows
  168. Tue Mar 18 19:00:23 2014  matrix is 7649387 x 7649611 (3326.7 MB) with weight 858940471 (112.29/col)
  169. Tue Mar 18 19:00:23 2014  sparse part has weight 795577873 (104.00/col)
  170. Tue Mar 18 19:00:24 2014  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  171. Tue Mar 18 19:00:49 2014  commencing Lanczos iteration (4 threads)
  172. Tue Mar 18 19:00:49 2014  memory use: 2803.8 MB
  173. Tue Mar 18 19:01:19 2014  linear algebra at 0.0%, ETA 40h38m
  174. Tue Mar 18 19:01:28 2014  checkpointing every 200000 dimensions
  175. Thu Mar 20 07:57:39 2014  lanczos halted after 120970 iterations (dim = 7649383)
  176. Thu Mar 20 07:57:45 2014  recovered 32 nontrivial dependencies
  177. Thu Mar 20 07:57:45 2014  BLanczosTime: 133803
  178. Thu Mar 20 07:57:45 2014  
  179. Thu Mar 20 07:57:45 2014  commencing square root phase
  180. Thu Mar 20 07:57:45 2014  handling dependencies 1 to 64
  181. Thu Mar 20 07:57:45 2014  reading relations for dependency 1
  182. Thu Mar 20 07:57:46 2014  read 3823857 cycles
  183. Thu Mar 20 07:57:51 2014  cycles contain 12272592 unique relations
  184. Thu Mar 20 07:59:46 2014  read 12272592 relations
  185. Thu Mar 20 08:00:24 2014  multiplying 12272592 relations
  186. Thu Mar 20 08:08:40 2014  multiply complete, coefficients have about 393.66 million bits
  187. Thu Mar 20 08:08:41 2014  initial square root is modulo 11576647
  188. Thu Mar 20 08:17:32 2014  GCD is N, no factor found
  189. Thu Mar 20 08:17:32 2014  reading relations for dependency 2
  190. Thu Mar 20 08:17:32 2014  read 3825278 cycles
  191. Thu Mar 20 08:17:37 2014  cycles contain 12274532 unique relations
  192. Thu Mar 20 08:19:32 2014  read 12274532 relations
  193. Thu Mar 20 08:20:10 2014  multiplying 12274532 relations
  194. Thu Mar 20 08:28:25 2014  multiply complete, coefficients have about 393.73 million bits
  195. Thu Mar 20 08:28:27 2014  initial square root is modulo 11610811
  196. Thu Mar 20 08:37:17 2014  GCD is N, no factor found
  197. Thu Mar 20 08:37:17 2014  reading relations for dependency 3
  198. Thu Mar 20 08:37:18 2014  read 3826199 cycles
  199. Thu Mar 20 08:37:23 2014  cycles contain 12279258 unique relations
  200. Thu Mar 20 08:39:16 2014  read 12279258 relations
  201. Thu Mar 20 08:39:53 2014  multiplying 12279258 relations
  202. Thu Mar 20 08:48:09 2014  multiply complete, coefficients have about 393.88 million bits
  203. Thu Mar 20 08:48:11 2014  initial square root is modulo 11682439
  204. Thu Mar 20 08:57:03 2014  sqrtTime: 3558
  205. Thu Mar 20 08:57:03 2014  prp79 factor: 6482638054086919779081042827196458878063715247525998104955700869682305142904453
  206. Thu Mar 20 08:57:03 2014  prp100 factor: 1728418981523664944606126436837534164627159260942767750412042635120454352600710802892574502352523633
  207. Thu Mar 20 08:57:03 2014  elapsed time 38:50:31
RAW Paste Data
Ledger Nano X - The secure hardware wallet
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