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2_P50_5_minus1

CarlosPinho May 31st, 2016 150 Never
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  1. Thu May 12 20:19:05 2016  
  2. Thu May 12 20:19:05 2016  
  3. Thu May 12 20:19:05 2016  Msieve v. 1.52 (SVN unknown)
  4. Thu May 12 20:19:05 2016  random seeds: b62f3248 c8db07df
  5. Thu May 12 20:19:05 2016  factoring 219626148442324209595589235772481796554060509866059726678649427185072459442695388480885197103597231017820934531436986894067039912319101627392242130966312885343565361695531 (171 digits)
  6. Thu May 12 20:19:06 2016  no P-1/P+1/ECM available, skipping
  7. Thu May 12 20:19:06 2016  commencing number field sieve (171-digit input)
  8. Thu May 12 20:19:06 2016  R0: -94721538330213837950956772892599752567853658777223
  9. Thu May 12 20:19:06 2016  R1: 1
  10. Thu May 12 20:19:06 2016  A0: 1
  11. Thu May 12 20:19:06 2016  A1: 1
  12. Thu May 12 20:19:06 2016  A2: 1
  13. Thu May 12 20:19:06 2016  A3: 1
  14. Thu May 12 20:19:06 2016  A4: 1
  15. Thu May 12 20:19:06 2016  skew 1.00, size 2.091e-020, alpha 1.694, combined = 3.220e-012 rroots = 0
  16. Thu May 12 20:19:06 2016  
  17. Thu May 12 20:19:06 2016  commencing relation filtering
  18. Thu May 12 20:19:06 2016  setting target matrix density to 100.0
  19. Thu May 12 20:19:06 2016  estimated available RAM is 16335.3 MB
  20. Thu May 12 20:19:06 2016  commencing duplicate removal, pass 1
  21. Thu May 12 20:25:53 2016  error -9 reading relation 39297305
  22. Thu May 12 20:25:54 2016  error -9 reading relation 39384586
  23. Thu May 12 20:25:58 2016  error -9 reading relation 39880377
  24. Thu May 12 20:34:43 2016  error -1 reading relation 92592473
  25. Thu May 12 20:34:43 2016  error -1 reading relation 92710055
  26. Thu May 12 20:35:04 2016  error -15 reading relation 95057543
  27. Thu May 12 20:35:04 2016  error -15 reading relation 95064099
  28. Thu May 12 20:36:41 2016  skipped 52 relations with b > 2^32
  29. Thu May 12 20:36:41 2016  found 13103450 hash collisions in 105777117 relations
  30. Thu May 12 20:36:55 2016  added 3657715 free relations
  31. Thu May 12 20:36:55 2016  commencing duplicate removal, pass 2
  32. Thu May 12 20:37:40 2016  found 10289249 duplicates and 99145583 unique relations
  33. Thu May 12 20:37:40 2016  memory use: 394.4 MB
  34. Thu May 12 20:37:40 2016  reading ideals above 53936128
  35. Thu May 12 20:37:40 2016  commencing singleton removal, initial pass
  36. Thu May 12 20:55:57 2016  memory use: 1506.0 MB
  37. Thu May 12 20:55:57 2016  reading all ideals from disk
  38. Thu May 12 20:55:58 2016  memory use: 1710.4 MB
  39. Thu May 12 20:56:02 2016  commencing in-memory singleton removal
  40. Thu May 12 20:56:05 2016  begin with 99145583 relations and 80692491 unique ideals
  41. Thu May 12 20:56:41 2016  reduce to 64298127 relations and 42094401 ideals in 13 passes
  42. Thu May 12 20:56:41 2016  max relations containing the same ideal: 71
  43. Thu May 12 20:56:46 2016  reading ideals above 720000
  44. Thu May 12 20:56:46 2016  commencing singleton removal, initial pass
  45. Thu May 12 21:09:54 2016  memory use: 1378.0 MB
  46. Thu May 12 21:09:54 2016  reading all ideals from disk
  47. Thu May 12 21:10:14 2016  memory use: 2309.8 MB
  48. Thu May 12 21:10:19 2016  keeping 48212501 ideals with weight <= 200, target excess is 327145
  49. Thu May 12 21:10:25 2016  commencing in-memory singleton removal
  50. Thu May 12 21:10:29 2016  begin with 64298128 relations and 48212501 unique ideals
  51. Thu May 12 21:10:54 2016  reduce to 64297926 relations and 48212299 ideals in 5 passes
  52. Thu May 12 21:10:54 2016  max relations containing the same ideal: 200
  53. Thu May 12 21:11:19 2016  removing 8166207 relations and 6166207 ideals in 2000000 cliques
  54. Thu May 12 21:11:21 2016  commencing in-memory singleton removal
  55. Thu May 12 21:11:25 2016  begin with 56131719 relations and 48212299 unique ideals
  56. Thu May 12 21:12:03 2016  reduce to 55230659 relations and 41108633 ideals in 9 passes
  57. Thu May 12 21:12:03 2016  max relations containing the same ideal: 195
  58. Thu May 12 21:12:25 2016  removing 6529304 relations and 4529304 ideals in 2000000 cliques
  59. Thu May 12 21:12:26 2016  commencing in-memory singleton removal
  60. Thu May 12 21:12:30 2016  begin with 48701355 relations and 41108633 unique ideals
  61. Thu May 12 21:12:55 2016  reduce to 48094215 relations and 35949185 ideals in 7 passes
  62. Thu May 12 21:12:55 2016  max relations containing the same ideal: 178
  63. Thu May 12 21:13:14 2016  removing 6050340 relations and 4050340 ideals in 2000000 cliques
  64. Thu May 12 21:13:16 2016  commencing in-memory singleton removal
  65. Thu May 12 21:13:19 2016  begin with 42043875 relations and 35949185 unique ideals
  66. Thu May 12 21:13:40 2016  reduce to 41499626 relations and 31332870 ideals in 7 passes
  67. Thu May 12 21:13:40 2016  max relations containing the same ideal: 162
  68. Thu May 12 21:13:57 2016  removing 5798224 relations and 3798224 ideals in 2000000 cliques
  69. Thu May 12 21:13:58 2016  commencing in-memory singleton removal
  70. Thu May 12 21:14:01 2016  begin with 35701402 relations and 31332870 unique ideals
  71. Thu May 12 21:14:19 2016  reduce to 35169203 relations and 26978691 ideals in 7 passes
  72. Thu May 12 21:14:19 2016  max relations containing the same ideal: 149
  73. Thu May 12 21:14:33 2016  removing 5637000 relations and 3637000 ideals in 2000000 cliques
  74. Thu May 12 21:14:34 2016  commencing in-memory singleton removal
  75. Thu May 12 21:14:36 2016  begin with 29532203 relations and 26978691 unique ideals
  76. Thu May 12 21:14:51 2016  reduce to 28979030 relations and 22760197 ideals in 7 passes
  77. Thu May 12 21:14:51 2016  max relations containing the same ideal: 132
  78. Thu May 12 21:15:02 2016  removing 5527087 relations and 3527087 ideals in 2000000 cliques
  79. Thu May 12 21:15:04 2016  commencing in-memory singleton removal
  80. Thu May 12 21:15:05 2016  begin with 23451943 relations and 22760197 unique ideals
  81. Thu May 12 21:15:18 2016  reduce to 22844281 relations and 18588409 ideals in 8 passes
  82. Thu May 12 21:15:18 2016  max relations containing the same ideal: 111
  83. Thu May 12 21:15:27 2016  removing 5441564 relations and 3441564 ideals in 2000000 cliques
  84. Thu May 12 21:15:29 2016  commencing in-memory singleton removal
  85. Thu May 12 21:15:30 2016  begin with 17402717 relations and 18588409 unique ideals
  86. Thu May 12 21:15:39 2016  reduce to 16694411 relations and 14384379 ideals in 8 passes
  87. Thu May 12 21:15:39 2016  max relations containing the same ideal: 89
  88. Thu May 12 21:15:45 2016  removing 5177448 relations and 3246905 ideals in 1930543 cliques
  89. Thu May 12 21:15:47 2016  commencing in-memory singleton removal
  90. Thu May 12 21:15:47 2016  begin with 11516963 relations and 14384379 unique ideals
  91. Thu May 12 21:15:53 2016  reduce to 10677526 relations and 10210995 ideals in 8 passes
  92. Thu May 12 21:15:53 2016  max relations containing the same ideal: 64
  93. Thu May 12 21:15:57 2016  removing 444734 relations and 357692 ideals in 87042 cliques
  94. Thu May 12 21:15:57 2016  commencing in-memory singleton removal
  95. Thu May 12 21:15:58 2016  begin with 10232792 relations and 10210995 unique ideals
  96. Thu May 12 21:16:02 2016  reduce to 10216697 relations and 9837052 ideals in 7 passes
  97. Thu May 12 21:16:02 2016  max relations containing the same ideal: 63
  98. Thu May 12 21:16:08 2016  relations with 0 large ideals: 25426
  99. Thu May 12 21:16:08 2016  relations with 1 large ideals: 4820
  100. Thu May 12 21:16:08 2016  relations with 2 large ideals: 59638
  101. Thu May 12 21:16:08 2016  relations with 3 large ideals: 373915
  102. Thu May 12 21:16:08 2016  relations with 4 large ideals: 1249190
  103. Thu May 12 21:16:08 2016  relations with 5 large ideals: 2750200
  104. Thu May 12 21:16:08 2016  relations with 6 large ideals: 2683631
  105. Thu May 12 21:16:08 2016  relations with 7+ large ideals: 3069877
  106. Thu May 12 21:16:08 2016  commencing 2-way merge
  107. Thu May 12 21:16:13 2016  reduce to 6881472 relation sets and 6501827 unique ideals
  108. Thu May 12 21:16:13 2016  commencing full merge
  109. Thu May 12 21:18:26 2016  memory use: 843.5 MB
  110. Thu May 12 21:18:27 2016  found 3262734 cycles, need 3232027
  111. Thu May 12 21:18:27 2016  weight of 3232027 cycles is about 323380448 (100.05/cycle)
  112. Thu May 12 21:18:27 2016  distribution of cycle lengths:
  113. Thu May 12 21:18:27 2016  1 relations: 121734
  114. Thu May 12 21:18:27 2016  2 relations: 191664
  115. Thu May 12 21:18:27 2016  3 relations: 243195
  116. Thu May 12 21:18:27 2016  4 relations: 265183
  117. Thu May 12 21:18:27 2016  5 relations: 274331
  118. Thu May 12 21:18:27 2016  6 relations: 271617
  119. Thu May 12 21:18:27 2016  7 relations: 259469
  120. Thu May 12 21:18:27 2016  8 relations: 240513
  121. Thu May 12 21:18:27 2016  9 relations: 217210
  122. Thu May 12 21:18:27 2016  10+ relations: 1147111
  123. Thu May 12 21:18:27 2016  heaviest cycle: 28 relations
  124. Thu May 12 21:18:28 2016  commencing cycle optimization
  125. Thu May 12 21:18:33 2016  start with 27076987 relations
  126. Thu May 12 21:19:34 2016  pruned 1287571 relations
  127. Thu May 12 21:19:34 2016  memory use: 704.8 MB
  128. Thu May 12 21:19:34 2016  distribution of cycle lengths:
  129. Thu May 12 21:19:34 2016  1 relations: 121734
  130. Thu May 12 21:19:34 2016  2 relations: 196015
  131. Thu May 12 21:19:34 2016  3 relations: 253639
  132. Thu May 12 21:19:34 2016  4 relations: 277391
  133. Thu May 12 21:19:34 2016  5 relations: 290231
  134. Thu May 12 21:19:34 2016  6 relations: 286021
  135. Thu May 12 21:19:34 2016  7 relations: 273920
  136. Thu May 12 21:19:34 2016  8 relations: 251628
  137. Thu May 12 21:19:34 2016  9 relations: 226325
  138. Thu May 12 21:19:34 2016  10+ relations: 1055123
  139. Thu May 12 21:19:34 2016  heaviest cycle: 28 relations
  140. Thu May 12 21:19:37 2016  RelProcTime: 3631
  141. Thu May 12 21:19:37 2016  
  142. Thu May 12 21:19:37 2016  commencing linear algebra
  143. Thu May 12 21:19:37 2016  read 3232027 cycles
  144. Thu May 12 21:19:43 2016  cycles contain 10020366 unique relations
  145. Thu May 12 21:22:01 2016  read 10020366 relations
  146. Thu May 12 21:22:14 2016  using 20 quadratic characters above 1073730132
  147. Thu May 12 21:22:57 2016  building initial matrix
  148. Thu May 12 21:24:45 2016  memory use: 1285.9 MB
  149. Thu May 12 21:24:47 2016  read 3232027 cycles
  150. Thu May 12 21:24:48 2016  matrix is 3231850 x 3232027 (1296.9 MB) with weight 376290713 (116.43/col)
  151. Thu May 12 21:24:48 2016  sparse part has weight 304416577 (94.19/col)
  152. Thu May 12 21:25:20 2016  filtering completed in 2 passes
  153. Thu May 12 21:25:21 2016  matrix is 3231636 x 3231813 (1296.9 MB) with weight 376282612 (116.43/col)
  154. Thu May 12 21:25:21 2016  sparse part has weight 304413294 (94.19/col)
  155. Thu May 12 21:25:28 2016  matrix starts at (0, 0)
  156. Thu May 12 21:25:29 2016  matrix is 3231636 x 3231813 (1296.9 MB) with weight 376282612 (116.43/col)
  157. Thu May 12 21:25:29 2016  sparse part has weight 304413294 (94.19/col)
  158. Thu May 12 21:25:29 2016  saving the first 48 matrix rows for later
  159. Thu May 12 21:25:30 2016  matrix includes 64 packed rows
  160. Thu May 12 21:25:30 2016  matrix is 3231588 x 3231813 (1238.3 MB) with weight 315429686 (97.60/col)
  161. Thu May 12 21:25:30 2016  sparse part has weight 292289046 (90.44/col)
  162. Thu May 12 21:25:30 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  163. Thu May 12 21:25:45 2016  commencing Lanczos iteration (4 threads)
  164. Thu May 12 21:25:45 2016  memory use: 1030.2 MB
  165. Thu May 12 21:25:55 2016  linear algebra at 0.0%, ETA 5h55m
  166. Thu May 12 21:25:58 2016  checkpointing every 560000 dimensions
  167. Fri May 13 03:30:06 2016  lanczos halted after 51109 iterations (dim = 3231586)
  168. Fri May 13 03:30:09 2016  recovered 36 nontrivial dependencies
  169. Fri May 13 03:30:10 2016  BLanczosTime: 22233
  170. Fri May 13 03:30:10 2016  
  171. Fri May 13 03:30:10 2016  commencing square root phase
  172. Fri May 13 03:30:10 2016  handling dependencies 1 to 64
  173. Fri May 13 03:30:10 2016  reading relations for dependency 1
  174. Fri May 13 03:30:13 2016  read 1614972 cycles
  175. Fri May 13 03:30:16 2016  cycles contain 5008280 unique relations
  176. Fri May 13 03:32:14 2016  read 5008280 relations
  177. Fri May 13 03:32:37 2016  multiplying 5008280 relations
  178. Fri May 13 03:34:09 2016  multiply complete, coefficients have about 123.76 million bits
  179. Fri May 13 03:34:10 2016  initial square root is modulo 763407217
  180. Fri May 13 03:36:22 2016  sqrtTime: 372
  181. Fri May 13 03:36:22 2016  prp67 factor: 5240646599145686528486044697966992418720628442778009072084465547101
  182. Fri May 13 03:36:22 2016  prp104 factor: 41908215768284578260542948123017975718815691794958562026455048041900623419604247196110373100287006395431
  183. Fri May 13 03:36:22 2016  elapsed time 07:17:17
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Ledger Nano X - The secure hardware wallet
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