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L1539

CarlosPinho May 27th, 2016 76 Never
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  1. Tue Nov 20 10:50:27 2012  
  2. Tue Nov 20 10:50:27 2012  
  3. Tue Nov 20 10:50:27 2012  Msieve v. 1.50 (SVN Official Release)
  4. Tue Nov 20 10:50:27 2012  random seeds: 50482b80 7408a6d6
  5. Tue Nov 20 10:50:27 2012  factoring 717255203903930733941491339173001714475617480293167093844521987963511116961249813168616612987868807653777896420085380935698524200035510001508345664671482855526802366461381330507736832237521 (189 digits)
  6. Tue Nov 20 10:50:28 2012  searching for 15-digit factors
  7. Tue Nov 20 10:50:28 2012  commencing number field sieve (189-digit input)
  8. Tue Nov 20 10:50:28 2012  R0: -545615227831807127056334897122823524
  9. Tue Nov 20 10:50:28 2012  R1: 1
  10. Tue Nov 20 10:50:28 2012  A0: 3
  11. Tue Nov 20 10:50:28 2012  A1: 0
  12. Tue Nov 20 10:50:28 2012  A2: 9
  13. Tue Nov 20 10:50:28 2012  A3: 0
  14. Tue Nov 20 10:50:28 2012  A4: 6
  15. Tue Nov 20 10:50:28 2012  A5: 0
  16. Tue Nov 20 10:50:28 2012  A6: 1
  17. Tue Nov 20 10:50:28 2012  skew 1.00, size 1.179e-010, alpha 1.996, combined = 3.737e-012 rroots = 0
  18. Tue Nov 20 10:50:28 2012  
  19. Tue Nov 20 10:50:28 2012  commencing relation filtering
  20. Tue Nov 20 10:50:28 2012  estimated available RAM is 12286.5 MB
  21. Tue Nov 20 10:50:28 2012  commencing duplicate removal, pass 1
  22. Tue Nov 20 10:52:28 2012  error -15 reading relation 17577051
  23. Tue Nov 20 10:53:46 2012  error -5 reading relation 28709944
  24. Tue Nov 20 10:53:59 2012  error -9 reading relation 30605298
  25. Tue Nov 20 10:53:59 2012  error -5 reading relation 30656162
  26. Tue Nov 20 10:54:00 2012  error -9 reading relation 30742837
  27. Tue Nov 20 10:54:00 2012  error -15 reading relation 30885224
  28. Tue Nov 20 10:54:01 2012  error -15 reading relation 30978365
  29. Tue Nov 20 10:54:01 2012  error -15 reading relation 31010242
  30. Tue Nov 20 10:54:01 2012  error -15 reading relation 31040483
  31. Tue Nov 20 10:54:01 2012  error -15 reading relation 31070325
  32. Tue Nov 20 10:54:02 2012  error -9 reading relation 31189686
  33. Tue Nov 20 10:54:02 2012  error -15 reading relation 31246386
  34. Tue Nov 20 10:55:33 2012  error -9 reading relation 44006941
  35. Tue Nov 20 10:56:17 2012  error -15 reading relation 50060610
  36. Tue Nov 20 10:56:50 2012  error -9 reading relation 55497308
  37. Tue Nov 20 10:56:51 2012  error -9 reading relation 55572680
  38. Tue Nov 20 10:56:58 2012  found 9812478 hash collisions in 56540084 relations
  39. Tue Nov 20 10:57:12 2012  added 2438347 free relations
  40. Tue Nov 20 10:57:12 2012  commencing duplicate removal, pass 2
  41. Tue Nov 20 10:57:36 2012  found 9228262 duplicates and 49750169 unique relations
  42. Tue Nov 20 10:57:36 2012  memory use: 330.4 MB
  43. Tue Nov 20 10:57:36 2012  reading ideals above 720000
  44. Tue Nov 20 10:57:36 2012  commencing singleton removal, initial pass
  45. Tue Nov 20 11:05:27 2012  memory use: 1378.0 MB
  46. Tue Nov 20 11:05:27 2012  reading all ideals from disk
  47. Tue Nov 20 11:05:29 2012  memory use: 1786.8 MB
  48. Tue Nov 20 11:05:33 2012  keeping 47036936 ideals with weight <= 200, target excess is 254845
  49. Tue Nov 20 11:05:38 2012  commencing in-memory singleton removal
  50. Tue Nov 20 11:05:41 2012  begin with 49750169 relations and 47036936 unique ideals
  51. Tue Nov 20 11:06:23 2012  reduce to 31365518 relations and 26603622 ideals in 16 passes
  52. Tue Nov 20 11:06:23 2012  max relations containing the same ideal: 155
  53. Tue Nov 20 11:06:35 2012  removing 5158509 relations and 4158509 ideals in 1000000 cliques
  54. Tue Nov 20 11:06:37 2012  commencing in-memory singleton removal
  55. Tue Nov 20 11:06:39 2012  begin with 26207009 relations and 26603622 unique ideals
  56. Tue Nov 20 11:06:56 2012  reduce to 25522348 relations and 21732184 ideals in 9 passes
  57. Tue Nov 20 11:06:56 2012  max relations containing the same ideal: 138
  58. Tue Nov 20 11:07:05 2012  removing 3933848 relations and 2933848 ideals in 1000000 cliques
  59. Tue Nov 20 11:07:06 2012  commencing in-memory singleton removal
  60. Tue Nov 20 11:07:08 2012  begin with 21588500 relations and 21732184 unique ideals
  61. Tue Nov 20 11:07:20 2012  reduce to 21144686 relations and 18336620 ideals in 8 passes
  62. Tue Nov 20 11:07:20 2012  max relations containing the same ideal: 118
  63. Tue Nov 20 11:07:28 2012  removing 3539412 relations and 2539412 ideals in 1000000 cliques
  64. Tue Nov 20 11:07:29 2012  commencing in-memory singleton removal
  65. Tue Nov 20 11:07:30 2012  begin with 17605274 relations and 18336620 unique ideals
  66. Tue Nov 20 11:07:41 2012  reduce to 17186543 relations and 15359611 ideals in 9 passes
  67. Tue Nov 20 11:07:41 2012  max relations containing the same ideal: 102
  68. Tue Nov 20 11:07:47 2012  removing 3345123 relations and 2345123 ideals in 1000000 cliques
  69. Tue Nov 20 11:07:48 2012  commencing in-memory singleton removal
  70. Tue Nov 20 11:07:49 2012  begin with 13841420 relations and 15359611 unique ideals
  71. Tue Nov 20 11:07:57 2012  reduce to 13398240 relations and 12547271 ideals in 9 passes
  72. Tue Nov 20 11:07:57 2012  max relations containing the same ideal: 87
  73. Tue Nov 20 11:08:02 2012  removing 2033593 relations and 1478245 ideals in 555348 cliques
  74. Tue Nov 20 11:08:03 2012  commencing in-memory singleton removal
  75. Tue Nov 20 11:08:03 2012  begin with 11364647 relations and 12547271 unique ideals
  76. Tue Nov 20 11:08:09 2012  reduce to 11139868 relations and 10835467 ideals in 8 passes
  77. Tue Nov 20 11:08:09 2012  max relations containing the same ideal: 78
  78. Tue Nov 20 11:08:13 2012  removing 64628 relations and 55848 ideals in 8780 cliques
  79. Tue Nov 20 11:08:14 2012  commencing in-memory singleton removal
  80. Tue Nov 20 11:08:14 2012  begin with 11075240 relations and 10835467 unique ideals
  81. Tue Nov 20 11:08:17 2012  reduce to 11075002 relations and 10779381 ideals in 4 passes
  82. Tue Nov 20 11:08:17 2012  max relations containing the same ideal: 78
  83. Tue Nov 20 11:08:19 2012  relations with 0 large ideals: 18319
  84. Tue Nov 20 11:08:19 2012  relations with 1 large ideals: 5749
  85. Tue Nov 20 11:08:19 2012  relations with 2 large ideals: 34353
  86. Tue Nov 20 11:08:19 2012  relations with 3 large ideals: 232318
  87. Tue Nov 20 11:08:19 2012  relations with 4 large ideals: 877950
  88. Tue Nov 20 11:08:19 2012  relations with 5 large ideals: 1994969
  89. Tue Nov 20 11:08:19 2012  relations with 6 large ideals: 2852765
  90. Tue Nov 20 11:08:19 2012  relations with 7+ large ideals: 5058579
  91. Tue Nov 20 11:08:19 2012  commencing 2-way merge
  92. Tue Nov 20 11:08:25 2012  reduce to 7564510 relation sets and 7268889 unique ideals
  93. Tue Nov 20 11:08:25 2012  commencing full merge
  94. Tue Nov 20 11:10:09 2012  memory use: 962.3 MB
  95. Tue Nov 20 11:10:10 2012  found 4010551 cycles, need 3971089
  96. Tue Nov 20 11:10:10 2012  weight of 3971089 cycles is about 278135538 (70.04/cycle)
  97. Tue Nov 20 11:10:10 2012  distribution of cycle lengths:
  98. Tue Nov 20 11:10:10 2012  1 relations: 441874
  99. Tue Nov 20 11:10:10 2012  2 relations: 473263
  100. Tue Nov 20 11:10:10 2012  3 relations: 478863
  101. Tue Nov 20 11:10:10 2012  4 relations: 447371
  102. Tue Nov 20 11:10:10 2012  5 relations: 411211
  103. Tue Nov 20 11:10:10 2012  6 relations: 359504
  104. Tue Nov 20 11:10:10 2012  7 relations: 304379
  105. Tue Nov 20 11:10:10 2012  8 relations: 250992
  106. Tue Nov 20 11:10:10 2012  9 relations: 201411
  107. Tue Nov 20 11:10:10 2012  10+ relations: 602221
  108. Tue Nov 20 11:10:10 2012  heaviest cycle: 23 relations
  109. Tue Nov 20 11:10:11 2012  commencing cycle optimization
  110. Tue Nov 20 11:10:15 2012  start with 22194696 relations
  111. Tue Nov 20 11:10:46 2012  pruned 651146 relations
  112. Tue Nov 20 11:10:46 2012  memory use: 686.9 MB
  113. Tue Nov 20 11:10:46 2012  distribution of cycle lengths:
  114. Tue Nov 20 11:10:46 2012  1 relations: 441874
  115. Tue Nov 20 11:10:46 2012  2 relations: 481961
  116. Tue Nov 20 11:10:46 2012  3 relations: 495455
  117. Tue Nov 20 11:10:46 2012  4 relations: 460023
  118. Tue Nov 20 11:10:46 2012  5 relations: 425080
  119. Tue Nov 20 11:10:46 2012  6 relations: 367970
  120. Tue Nov 20 11:10:46 2012  7 relations: 310007
  121. Tue Nov 20 11:10:46 2012  8 relations: 251769
  122. Tue Nov 20 11:10:46 2012  9 relations: 198545
  123. Tue Nov 20 11:10:46 2012  10+ relations: 538405
  124. Tue Nov 20 11:10:46 2012  heaviest cycle: 22 relations
  125. Tue Nov 20 11:10:49 2012  RelProcTime: 1221
  126. Tue Nov 20 11:10:49 2012  
  127. Tue Nov 20 11:10:49 2012  commencing linear algebra
  128. Tue Nov 20 11:10:50 2012  read 3971089 cycles
  129. Tue Nov 20 11:10:55 2012  cycles contain 10912909 unique relations
  130. Tue Nov 20 11:12:40 2012  read 10912909 relations
  131. Tue Nov 20 11:12:52 2012  using 20 quadratic characters above 536868974
  132. Tue Nov 20 11:13:38 2012  building initial matrix
  133. Tue Nov 20 11:15:23 2012  memory use: 1387.0 MB
  134. Tue Nov 20 11:15:27 2012  read 3971089 cycles
  135. Tue Nov 20 11:15:28 2012  matrix is 3970910 x 3971089 (1187.4 MB) with weight 345105802 (86.90/col)
  136. Tue Nov 20 11:15:28 2012  sparse part has weight 267600645 (67.39/col)
  137. Tue Nov 20 11:16:03 2012  filtering completed in 2 passes
  138. Tue Nov 20 11:16:04 2012  matrix is 3969973 x 3970152 (1187.4 MB) with weight 345076621 (86.92/col)
  139. Tue Nov 20 11:16:04 2012  sparse part has weight 267589851 (67.40/col)
  140. Tue Nov 20 11:16:13 2012  matrix starts at (0, 0)
  141. Tue Nov 20 11:16:14 2012  matrix is 3969973 x 3970152 (1187.4 MB) with weight 345076621 (86.92/col)
  142. Tue Nov 20 11:16:14 2012  sparse part has weight 267589851 (67.40/col)
  143. Tue Nov 20 11:16:14 2012  saving the first 48 matrix rows for later
  144. Tue Nov 20 11:16:15 2012  matrix includes 64 packed rows
  145. Tue Nov 20 11:16:16 2012  matrix is 3969925 x 3970152 (1128.8 MB) with weight 276468986 (69.64/col)
  146. Tue Nov 20 11:16:16 2012  sparse part has weight 256209730 (64.53/col)
  147. Tue Nov 20 11:16:16 2012  using block size 65536 for processor cache size 12288 kB
  148. Tue Nov 20 11:16:29 2012  commencing Lanczos iteration (6 threads)
  149. Tue Nov 20 11:16:29 2012  memory use: 1069.3 MB
  150. Tue Nov 20 11:16:49 2012  linear algebra at 0.0%, ETA 13h49m
  151. Tue Nov 20 11:16:55 2012  checkpointing every 300000 dimensions
  152. Tue Nov 20 11:21:06 2012  
  153. Tue Nov 20 11:21:06 2012  
  154. Tue Nov 20 11:21:06 2012  Msieve v. 1.50 (SVN Official Release)
  155. Tue Nov 20 11:21:06 2012  random seeds: cb75f674 85a7d546
  156. Tue Nov 20 11:21:06 2012  factoring 717255203903930733941491339173001714475617480293167093844521987963511116961249813168616612987868807653777896420085380935698524200035510001508345664671482855526802366461381330507736832237521 (189 digits)
  157. Tue Nov 20 11:21:08 2012  searching for 15-digit factors
  158. Tue Nov 20 11:21:08 2012  commencing number field sieve (189-digit input)
  159. Tue Nov 20 11:21:08 2012  R0: -545615227831807127056334897122823524
  160. Tue Nov 20 11:21:08 2012  R1: 1
  161. Tue Nov 20 11:21:08 2012  A0: 3
  162. Tue Nov 20 11:21:08 2012  A1: 0
  163. Tue Nov 20 11:21:08 2012  A2: 9
  164. Tue Nov 20 11:21:08 2012  A3: 0
  165. Tue Nov 20 11:21:08 2012  A4: 6
  166. Tue Nov 20 11:21:08 2012  A5: 0
  167. Tue Nov 20 11:21:08 2012  A6: 1
  168. Tue Nov 20 11:21:08 2012  skew 1.00, size 1.179e-010, alpha 1.996, combined = 3.737e-012 rroots = 0
  169. Tue Nov 20 11:21:08 2012  
  170. Tue Nov 20 11:21:08 2012  commencing linear algebra
  171. Tue Nov 20 11:21:10 2012  matrix starts at (0, 0)
  172. Tue Nov 20 11:21:11 2012  matrix is 3969973 x 3970152 (1187.4 MB) with weight 345076621 (86.92/col)
  173. Tue Nov 20 11:21:11 2012  sparse part has weight 267589851 (67.40/col)
  174. Tue Nov 20 11:21:11 2012  saving the first 48 matrix rows for later
  175. Tue Nov 20 11:21:12 2012  matrix includes 64 packed rows
  176. Tue Nov 20 11:21:13 2012  matrix is 3969925 x 3970152 (1128.8 MB) with weight 276468986 (69.64/col)
  177. Tue Nov 20 11:21:13 2012  sparse part has weight 256209730 (64.53/col)
  178. Tue Nov 20 11:21:13 2012  using block size 65536 for processor cache size 12288 kB
  179. Tue Nov 20 11:21:26 2012  commencing Lanczos iteration (12 threads)
  180. Tue Nov 20 11:21:26 2012  memory use: 1251.1 MB
  181. Tue Nov 20 11:22:41 2012  
  182. Tue Nov 20 11:22:41 2012  
  183. Tue Nov 20 11:22:41 2012  Msieve v. 1.50 (SVN Official Release)
  184. Tue Nov 20 11:22:41 2012  random seeds: 261b9f80 cfff74f0
  185. Tue Nov 20 11:22:41 2012  factoring 717255203903930733941491339173001714475617480293167093844521987963511116961249813168616612987868807653777896420085380935698524200035510001508345664671482855526802366461381330507736832237521 (189 digits)
  186. Tue Nov 20 11:22:42 2012  searching for 15-digit factors
  187. Tue Nov 20 11:22:42 2012  commencing number field sieve (189-digit input)
  188. Tue Nov 20 11:22:42 2012  R0: -545615227831807127056334897122823524
  189. Tue Nov 20 11:22:42 2012  R1: 1
  190. Tue Nov 20 11:22:42 2012  A0: 3
  191. Tue Nov 20 11:22:42 2012  A1: 0
  192. Tue Nov 20 11:22:42 2012  A2: 9
  193. Tue Nov 20 11:22:42 2012  A3: 0
  194. Tue Nov 20 11:22:42 2012  A4: 6
  195. Tue Nov 20 11:22:42 2012  A5: 0
  196. Tue Nov 20 11:22:42 2012  A6: 1
  197. Tue Nov 20 11:22:42 2012  skew 1.00, size 1.179e-010, alpha 1.996, combined = 3.737e-012 rroots = 0
  198. Tue Nov 20 11:22:42 2012  
  199. Tue Nov 20 11:22:42 2012  commencing linear algebra
  200. Tue Nov 20 11:22:44 2012  matrix starts at (0, 0)
  201. Tue Nov 20 11:22:45 2012  matrix is 3969973 x 3970152 (1187.4 MB) with weight 345076621 (86.92/col)
  202. Tue Nov 20 11:22:45 2012  sparse part has weight 267589851 (67.40/col)
  203. Tue Nov 20 11:22:45 2012  saving the first 48 matrix rows for later
  204. Tue Nov 20 11:22:46 2012  matrix includes 64 packed rows
  205. Tue Nov 20 11:22:47 2012  matrix is 3969925 x 3970152 (1128.8 MB) with weight 276468986 (69.64/col)
  206. Tue Nov 20 11:22:47 2012  sparse part has weight 256209730 (64.53/col)
  207. Tue Nov 20 11:22:47 2012  using block size 65536 for processor cache size 12288 kB
  208. Tue Nov 20 11:23:00 2012  commencing Lanczos iteration (12 threads)
  209. Tue Nov 20 11:23:00 2012  memory use: 1251.1 MB
  210. Tue Nov 20 11:23:32 2012  
  211. Tue Nov 20 11:23:32 2012  
  212. Tue Nov 20 11:23:32 2012  Msieve v. 1.50 (SVN Official Release)
  213. Tue Nov 20 11:23:32 2012  random seeds: fcf6347c 0dac0d6f
  214. Tue Nov 20 11:23:32 2012  factoring 717255203903930733941491339173001714475617480293167093844521987963511116961249813168616612987868807653777896420085380935698524200035510001508345664671482855526802366461381330507736832237521 (189 digits)
  215. Tue Nov 20 11:23:34 2012  searching for 15-digit factors
  216. Tue Nov 20 11:23:34 2012  commencing number field sieve (189-digit input)
  217. Tue Nov 20 11:23:34 2012  R0: -545615227831807127056334897122823524
  218. Tue Nov 20 11:23:34 2012  R1: 1
  219. Tue Nov 20 11:23:34 2012  A0: 3
  220. Tue Nov 20 11:23:34 2012  A1: 0
  221. Tue Nov 20 11:23:34 2012  A2: 9
  222. Tue Nov 20 11:23:34 2012  A3: 0
  223. Tue Nov 20 11:23:34 2012  A4: 6
  224. Tue Nov 20 11:23:34 2012  A5: 0
  225. Tue Nov 20 11:23:34 2012  A6: 1
  226. Tue Nov 20 11:23:34 2012  skew 1.00, size 1.179e-010, alpha 1.996, combined = 3.737e-012 rroots = 0
  227. Tue Nov 20 11:23:34 2012  
  228. Tue Nov 20 11:23:34 2012  commencing relation filtering
  229. Tue Nov 20 11:23:34 2012  estimated available RAM is 12286.5 MB
  230. Tue Nov 20 11:23:34 2012  commencing duplicate removal, pass 1
  231. Tue Nov 20 11:25:29 2012  error -15 reading relation 17577051
  232. Tue Nov 20 11:26:46 2012  error -5 reading relation 28709944
  233. Tue Nov 20 11:27:00 2012  error -9 reading relation 30605298
  234. Tue Nov 20 11:27:00 2012  error -5 reading relation 30656162
  235. Tue Nov 20 11:27:00 2012  error -9 reading relation 30742837
  236. Tue Nov 20 11:27:01 2012  error -15 reading relation 30885224
  237. Tue Nov 20 11:27:02 2012  error -15 reading relation 30978365
  238. Tue Nov 20 11:27:02 2012  error -15 reading relation 31010242
  239. Tue Nov 20 11:27:02 2012  error -15 reading relation 31040483
  240. Tue Nov 20 11:27:02 2012  error -15 reading relation 31070325
  241. Tue Nov 20 11:27:02 2012  error -9 reading relation 31189686
  242. Tue Nov 20 11:27:03 2012  error -15 reading relation 31246386
  243. Tue Nov 20 11:28:33 2012  error -9 reading relation 44006941
  244. Tue Nov 20 11:29:17 2012  error -15 reading relation 50060610
  245. Tue Nov 20 11:29:50 2012  error -9 reading relation 55497308
  246. Tue Nov 20 11:29:50 2012  error -9 reading relation 55572680
  247. Tue Nov 20 11:30:46 2012  found 9981041 hash collisions in 58978431 relations
  248. Tue Nov 20 11:30:46 2012  added 1 free relations
  249. Tue Nov 20 11:30:46 2012  commencing duplicate removal, pass 2
  250. Tue Nov 20 11:31:10 2012  found 9228262 duplicates and 49750170 unique relations
  251. Tue Nov 20 11:31:11 2012  memory use: 330.4 MB
  252. Tue Nov 20 11:31:11 2012  reading ideals above 720000
  253. Tue Nov 20 11:31:11 2012  commencing singleton removal, initial pass
  254. Tue Nov 20 11:38:58 2012  memory use: 1378.0 MB
  255. Tue Nov 20 11:38:58 2012  reading all ideals from disk
  256. Tue Nov 20 11:38:59 2012  memory use: 1786.8 MB
  257. Tue Nov 20 11:39:03 2012  keeping 47036937 ideals with weight <= 200, target excess is 254845
  258. Tue Nov 20 11:39:07 2012  commencing in-memory singleton removal
  259. Tue Nov 20 11:39:11 2012  begin with 49750170 relations and 47036937 unique ideals
  260. Tue Nov 20 11:39:53 2012  reduce to 31365518 relations and 26603622 ideals in 16 passes
  261. Tue Nov 20 11:39:53 2012  max relations containing the same ideal: 155
  262. Tue Nov 20 11:40:05 2012  removing 5158509 relations and 4158509 ideals in 1000000 cliques
  263. Tue Nov 20 11:40:06 2012  commencing in-memory singleton removal
  264. Tue Nov 20 11:40:08 2012  begin with 26207009 relations and 26603622 unique ideals
  265. Tue Nov 20 11:40:25 2012  reduce to 25522348 relations and 21732184 ideals in 9 passes
  266. Tue Nov 20 11:40:25 2012  max relations containing the same ideal: 138
  267. Tue Nov 20 11:40:34 2012  removing 3933848 relations and 2933848 ideals in 1000000 cliques
  268. Tue Nov 20 11:40:35 2012  commencing in-memory singleton removal
  269. Tue Nov 20 11:40:37 2012  begin with 21588500 relations and 21732184 unique ideals
  270. Tue Nov 20 11:40:49 2012  reduce to 21144686 relations and 18336620 ideals in 8 passes
  271. Tue Nov 20 11:40:49 2012  max relations containing the same ideal: 118
  272. Tue Nov 20 11:40:57 2012  removing 3539412 relations and 2539412 ideals in 1000000 cliques
  273. Tue Nov 20 11:40:58 2012  commencing in-memory singleton removal
  274. Tue Nov 20 11:40:59 2012  begin with 17605274 relations and 18336620 unique ideals
  275. Tue Nov 20 11:41:10 2012  reduce to 17186543 relations and 15359611 ideals in 9 passes
  276. Tue Nov 20 11:41:10 2012  max relations containing the same ideal: 102
  277. Tue Nov 20 11:41:16 2012  removing 3345123 relations and 2345123 ideals in 1000000 cliques
  278. Tue Nov 20 11:41:17 2012  commencing in-memory singleton removal
  279. Tue Nov 20 11:41:18 2012  begin with 13841420 relations and 15359611 unique ideals
  280. Tue Nov 20 11:41:26 2012  reduce to 13398240 relations and 12547271 ideals in 9 passes
  281. Tue Nov 20 11:41:26 2012  max relations containing the same ideal: 87
  282. Tue Nov 20 11:41:31 2012  removing 2033593 relations and 1478245 ideals in 555348 cliques
  283. Tue Nov 20 11:41:32 2012  commencing in-memory singleton removal
  284. Tue Nov 20 11:41:32 2012  begin with 11364647 relations and 12547271 unique ideals
  285. Tue Nov 20 11:41:38 2012  reduce to 11139868 relations and 10835467 ideals in 8 passes
  286. Tue Nov 20 11:41:38 2012  max relations containing the same ideal: 78
  287. Tue Nov 20 11:41:42 2012  removing 64628 relations and 55848 ideals in 8780 cliques
  288. Tue Nov 20 11:41:43 2012  commencing in-memory singleton removal
  289. Tue Nov 20 11:41:43 2012  begin with 11075240 relations and 10835467 unique ideals
  290. Tue Nov 20 11:41:46 2012  reduce to 11075002 relations and 10779381 ideals in 4 passes
  291. Tue Nov 20 11:41:46 2012  max relations containing the same ideal: 78
  292. Tue Nov 20 11:41:48 2012  relations with 0 large ideals: 18319
  293. Tue Nov 20 11:41:48 2012  relations with 1 large ideals: 5749
  294. Tue Nov 20 11:41:48 2012  relations with 2 large ideals: 34353
  295. Tue Nov 20 11:41:48 2012  relations with 3 large ideals: 232318
  296. Tue Nov 20 11:41:48 2012  relations with 4 large ideals: 877950
  297. Tue Nov 20 11:41:48 2012  relations with 5 large ideals: 1994969
  298. Tue Nov 20 11:41:48 2012  relations with 6 large ideals: 2852765
  299. Tue Nov 20 11:41:48 2012  relations with 7+ large ideals: 5058579
  300. Tue Nov 20 11:41:48 2012  commencing 2-way merge
  301. Tue Nov 20 11:41:54 2012  reduce to 7564510 relation sets and 7268889 unique ideals
  302. Tue Nov 20 11:41:54 2012  commencing full merge
  303. Tue Nov 20 11:43:38 2012  memory use: 962.3 MB
  304. Tue Nov 20 11:43:39 2012  found 4010551 cycles, need 3971089
  305. Tue Nov 20 11:43:39 2012  weight of 3971089 cycles is about 278135538 (70.04/cycle)
  306. Tue Nov 20 11:43:39 2012  distribution of cycle lengths:
  307. Tue Nov 20 11:43:39 2012  1 relations: 441874
  308. Tue Nov 20 11:43:39 2012  2 relations: 473263
  309. Tue Nov 20 11:43:39 2012  3 relations: 478863
  310. Tue Nov 20 11:43:39 2012  4 relations: 447371
  311. Tue Nov 20 11:43:39 2012  5 relations: 411211
  312. Tue Nov 20 11:43:39 2012  6 relations: 359504
  313. Tue Nov 20 11:43:39 2012  7 relations: 304379
  314. Tue Nov 20 11:43:39 2012  8 relations: 250992
  315. Tue Nov 20 11:43:39 2012  9 relations: 201411
  316. Tue Nov 20 11:43:39 2012  10+ relations: 602221
  317. Tue Nov 20 11:43:39 2012  heaviest cycle: 23 relations
  318. Tue Nov 20 11:43:40 2012  commencing cycle optimization
  319. Tue Nov 20 11:43:44 2012  start with 22194696 relations
  320. Tue Nov 20 11:44:15 2012  pruned 651146 relations
  321. Tue Nov 20 11:44:15 2012  memory use: 686.9 MB
  322. Tue Nov 20 11:44:15 2012  distribution of cycle lengths:
  323. Tue Nov 20 11:44:15 2012  1 relations: 441874
  324. Tue Nov 20 11:44:15 2012  2 relations: 481961
  325. Tue Nov 20 11:44:15 2012  3 relations: 495455
  326. Tue Nov 20 11:44:15 2012  4 relations: 460023
  327. Tue Nov 20 11:44:15 2012  5 relations: 425080
  328. Tue Nov 20 11:44:15 2012  6 relations: 367970
  329. Tue Nov 20 11:44:15 2012  7 relations: 310007
  330. Tue Nov 20 11:44:15 2012  8 relations: 251769
  331. Tue Nov 20 11:44:15 2012  9 relations: 198545
  332. Tue Nov 20 11:44:15 2012  10+ relations: 538405
  333. Tue Nov 20 11:44:15 2012  heaviest cycle: 22 relations
  334. Tue Nov 20 11:44:18 2012  RelProcTime: 1244
  335. Tue Nov 20 11:44:18 2012  
  336. Tue Nov 20 11:44:18 2012  commencing linear algebra
  337. Tue Nov 20 11:44:19 2012  read 3971089 cycles
  338. Tue Nov 20 11:44:24 2012  cycles contain 10912909 unique relations
  339. Tue Nov 20 11:46:07 2012  read 10912909 relations
  340. Tue Nov 20 11:46:20 2012  using 20 quadratic characters above 536868974
  341. Tue Nov 20 11:47:06 2012  building initial matrix
  342. Tue Nov 20 11:48:52 2012  memory use: 1387.0 MB
  343. Tue Nov 20 11:48:55 2012  read 3971089 cycles
  344. Tue Nov 20 11:48:56 2012  matrix is 3970910 x 3971089 (1187.4 MB) with weight 345105802 (86.90/col)
  345. Tue Nov 20 11:48:56 2012  sparse part has weight 267600645 (67.39/col)
  346. Tue Nov 20 11:49:32 2012  filtering completed in 2 passes
  347. Tue Nov 20 11:49:33 2012  matrix is 3969973 x 3970152 (1187.4 MB) with weight 345076621 (86.92/col)
  348. Tue Nov 20 11:49:33 2012  sparse part has weight 267589851 (67.40/col)
  349. Tue Nov 20 11:49:41 2012  matrix starts at (0, 0)
  350. Tue Nov 20 11:49:42 2012  matrix is 3969973 x 3970152 (1187.4 MB) with weight 345076621 (86.92/col)
  351. Tue Nov 20 11:49:42 2012  sparse part has weight 267589851 (67.40/col)
  352. Tue Nov 20 11:49:42 2012  saving the first 48 matrix rows for later
  353. Tue Nov 20 11:49:43 2012  matrix includes 64 packed rows
  354. Tue Nov 20 11:49:44 2012  matrix is 3969925 x 3970152 (1128.8 MB) with weight 276468986 (69.64/col)
  355. Tue Nov 20 11:49:44 2012  sparse part has weight 256209730 (64.53/col)
  356. Tue Nov 20 11:49:44 2012  using block size 65536 for processor cache size 12288 kB
  357. Tue Nov 20 11:49:57 2012  commencing Lanczos iteration (6 threads)
  358. Tue Nov 20 11:49:57 2012  memory use: 1069.3 MB
  359. Tue Nov 20 11:50:17 2012  linear algebra at 0.0%, ETA 13h44m
  360. Tue Nov 20 11:50:23 2012  checkpointing every 300000 dimensions
  361. Tue Nov 20 14:02:29 2012  
  362. Tue Nov 20 14:02:29 2012  
  363. Tue Nov 20 14:02:29 2012  Msieve v. 1.50 (SVN Official Release)
  364. Tue Nov 20 14:02:29 2012  random seeds: e673efb0 ba4344e6
  365. Tue Nov 20 14:02:29 2012  factoring 717255203903930733941491339173001714475617480293167093844521987963511116961249813168616612987868807653777896420085380935698524200035510001508345664671482855526802366461381330507736832237521 (189 digits)
  366. Tue Nov 20 14:02:30 2012  searching for 15-digit factors
  367. Tue Nov 20 14:02:30 2012  commencing number field sieve (189-digit input)
  368. Tue Nov 20 14:02:30 2012  R0: -545615227831807127056334897122823524
  369. Tue Nov 20 14:02:30 2012  R1: 1
  370. Tue Nov 20 14:02:30 2012  A0: 3
  371. Tue Nov 20 14:02:30 2012  A1: 0
  372. Tue Nov 20 14:02:30 2012  A2: 9
  373. Tue Nov 20 14:02:30 2012  A3: 0
  374. Tue Nov 20 14:02:30 2012  A4: 6
  375. Tue Nov 20 14:02:30 2012  A5: 0
  376. Tue Nov 20 14:02:30 2012  A6: 1
  377. Tue Nov 20 14:02:30 2012  skew 1.00, size 1.179e-010, alpha 1.996, combined = 3.737e-012 rroots = 0
  378. Tue Nov 20 14:02:30 2012  
  379. Tue Nov 20 14:02:30 2012  commencing linear algebra
  380. Tue Nov 20 14:02:32 2012  matrix starts at (0, 0)
  381. Tue Nov 20 14:02:33 2012  matrix is 3969973 x 3970152 (1187.4 MB) with weight 345076621 (86.92/col)
  382. Tue Nov 20 14:02:33 2012  sparse part has weight 267589851 (67.40/col)
  383. Tue Nov 20 14:02:33 2012  saving the first 48 matrix rows for later
  384. Tue Nov 20 14:02:34 2012  matrix includes 64 packed rows
  385. Tue Nov 20 14:02:35 2012  matrix is 3969925 x 3970152 (1128.8 MB) with weight 276468986 (69.64/col)
  386. Tue Nov 20 14:02:35 2012  sparse part has weight 256209730 (64.53/col)
  387. Tue Nov 20 14:02:35 2012  using block size 65536 for processor cache size 12288 kB
  388. Tue Nov 20 14:02:48 2012  commencing Lanczos iteration (12 threads)
  389. Tue Nov 20 14:02:48 2012  memory use: 1251.1 MB
  390. Tue Nov 20 14:02:48 2012  restarting at iteration 9490 (dim = 600056)
  391. Tue Nov 20 14:03:10 2012  linear algebra at 15.2%, ETA 13h37m
  392. Tue Nov 20 14:03:16 2012  checkpointing every 260000 dimensions
  393. Tue Nov 20 14:04:10 2012  
  394. Tue Nov 20 14:04:10 2012  
  395. Tue Nov 20 14:04:10 2012  Msieve v. 1.50 (SVN Official Release)
  396. Tue Nov 20 14:04:10 2012  random seeds: 801d0468 290d961e
  397. Tue Nov 20 14:04:10 2012  factoring 717255203903930733941491339173001714475617480293167093844521987963511116961249813168616612987868807653777896420085380935698524200035510001508345664671482855526802366461381330507736832237521 (189 digits)
  398. Tue Nov 20 14:04:11 2012  searching for 15-digit factors
  399. Tue Nov 20 14:04:11 2012  commencing number field sieve (189-digit input)
  400. Tue Nov 20 14:04:11 2012  R0: -545615227831807127056334897122823524
  401. Tue Nov 20 14:04:11 2012  R1: 1
  402. Tue Nov 20 14:04:11 2012  A0: 3
  403. Tue Nov 20 14:04:11 2012  A1: 0
  404. Tue Nov 20 14:04:11 2012  A2: 9
  405. Tue Nov 20 14:04:11 2012  A3: 0
  406. Tue Nov 20 14:04:11 2012  A4: 6
  407. Tue Nov 20 14:04:11 2012  A5: 0
  408. Tue Nov 20 14:04:11 2012  A6: 1
  409. Tue Nov 20 14:04:11 2012  skew 1.00, size 1.179e-010, alpha 1.996, combined = 3.737e-012 rroots = 0
  410. Tue Nov 20 14:04:11 2012  
  411. Tue Nov 20 14:04:11 2012  commencing linear algebra
  412. Tue Nov 20 14:04:13 2012  matrix starts at (0, 0)
  413. Tue Nov 20 14:04:14 2012  matrix is 3969973 x 3970152 (1187.4 MB) with weight 345076621 (86.92/col)
  414. Tue Nov 20 14:04:14 2012  sparse part has weight 267589851 (67.40/col)
  415. Tue Nov 20 14:04:14 2012  saving the first 48 matrix rows for later
  416. Tue Nov 20 14:04:15 2012  matrix includes 64 packed rows
  417. Tue Nov 20 14:04:16 2012  matrix is 3969925 x 3970152 (1128.8 MB) with weight 276468986 (69.64/col)
  418. Tue Nov 20 14:04:16 2012  sparse part has weight 256209730 (64.53/col)
  419. Tue Nov 20 14:04:16 2012  using block size 65536 for processor cache size 12288 kB
  420. Tue Nov 20 14:04:29 2012  commencing Lanczos iteration (6 threads)
  421. Tue Nov 20 14:04:29 2012  memory use: 1069.3 MB
  422. Tue Nov 20 14:04:29 2012  restarting at iteration 9490 (dim = 600056)
  423. Tue Nov 20 14:04:48 2012  linear algebra at 15.2%, ETA 11h45m
  424. Tue Nov 20 14:04:53 2012  checkpointing every 300000 dimensions
  425. Wed Nov 21 08:55:46 2012  
  426. Wed Nov 21 08:55:46 2012  
  427. Wed Nov 21 08:55:46 2012  Msieve v. 1.50 (SVN Official Release)
  428. Wed Nov 21 08:55:46 2012  random seeds: e2f68540 51e7c0fb
  429. Wed Nov 21 08:55:46 2012  factoring 717255203903930733941491339173001714475617480293167093844521987963511116961249813168616612987868807653777896420085380935698524200035510001508345664671482855526802366461381330507736832237521 (189 digits)
  430. Wed Nov 21 08:55:48 2012  searching for 15-digit factors
  431. Wed Nov 21 08:55:48 2012  commencing number field sieve (189-digit input)
  432. Wed Nov 21 08:55:48 2012  R0: -545615227831807127056334897122823524
  433. Wed Nov 21 08:55:48 2012  R1: 1
  434. Wed Nov 21 08:55:48 2012  A0: 3
  435. Wed Nov 21 08:55:48 2012  A1: 0
  436. Wed Nov 21 08:55:48 2012  A2: 9
  437. Wed Nov 21 08:55:48 2012  A3: 0
  438. Wed Nov 21 08:55:48 2012  A4: 6
  439. Wed Nov 21 08:55:48 2012  A5: 0
  440. Wed Nov 21 08:55:48 2012  A6: 1
  441. Wed Nov 21 08:55:48 2012  skew 1.00, size 1.179e-010, alpha 1.996, combined = 3.737e-012 rroots = 0
  442. Wed Nov 21 08:55:48 2012  
  443. Wed Nov 21 08:55:48 2012  commencing linear algebra
  444. Wed Nov 21 08:55:58 2012  matrix starts at (0, 0)
  445. Wed Nov 21 08:55:59 2012  matrix is 3969973 x 3970152 (1187.4 MB) with weight 345076621 (86.92/col)
  446. Wed Nov 21 08:55:59 2012  sparse part has weight 267589851 (67.40/col)
  447. Wed Nov 21 08:55:59 2012  saving the first 48 matrix rows for later
  448. Wed Nov 21 08:56:00 2012  matrix includes 64 packed rows
  449. Wed Nov 21 08:56:00 2012  matrix is 3969925 x 3970152 (1128.8 MB) with weight 276468986 (69.64/col)
  450. Wed Nov 21 08:56:00 2012  sparse part has weight 256209730 (64.53/col)
  451. Wed Nov 21 08:56:00 2012  using block size 65536 for processor cache size 12288 kB
  452. Wed Nov 21 08:56:13 2012  commencing Lanczos iteration (6 threads)
  453. Wed Nov 21 08:56:13 2012  memory use: 1069.3 MB
  454. Wed Nov 21 08:56:13 2012  restarting at iteration 42701 (dim = 2700002)
  455. Wed Nov 21 08:56:32 2012  linear algebra at 68.0%, ETA 4h23m
  456. Wed Nov 21 08:56:38 2012  checkpointing every 300000 dimensions
  457. Wed Nov 21 13:16:27 2012  lanczos halted after 62783 iterations (dim = 3969921)
  458. Wed Nov 21 13:16:32 2012  recovered 35 nontrivial dependencies
  459. Wed Nov 21 13:16:33 2012  BLanczosTime: 15645
  460. Wed Nov 21 13:16:33 2012  
  461. Wed Nov 21 13:16:33 2012  commencing square root phase
  462. Wed Nov 21 13:16:33 2012  reading relations for dependency 1
  463. Wed Nov 21 13:16:33 2012  read 1982879 cycles
  464. Wed Nov 21 13:16:36 2012  cycles contain 5452258 unique relations
  465. Wed Nov 21 13:17:30 2012  read 5452258 relations
  466. Wed Nov 21 13:17:55 2012  multiplying 5452258 relations
  467. Wed Nov 21 13:21:55 2012  multiply complete, coefficients have about 133.07 million bits
  468. Wed Nov 21 13:21:57 2012  initial square root is modulo 59693
  469. Wed Nov 21 13:27:08 2012  sqrtTime: 635
  470. Wed Nov 21 13:27:08 2012  prp85 factor: 8594000588432772344258290080354861186171625665317817862078045946115204151462041521311
  471. Wed Nov 21 13:27:08 2012  prp104 factor: 83459990085331322807269146423698503994680678327484089683347930750774713985137095975182944120489723252111
  472. Wed Nov 21 13:27:08 2012  elapsed time 04:31:22
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Ledger Nano X - The secure hardware wallet
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