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C200_118_77

mersenneforum Nov 27th, 2015 127 Never
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  1. Mon Oct 12 23:59:11 2015  
  2. Mon Oct 12 23:59:11 2015  
  3. Mon Oct 12 23:59:11 2015  Msieve v. 1.52 (SVN 946)
  4. Mon Oct 12 23:59:11 2015  random seeds: 2f3d0908 a983e7b5
  5. Mon Oct 12 23:59:11 2015  factoring 37929053826770721130976655002516137962119295616501862751577777483997135220857169808770075202035625360852642276914755922968617581298708397873716342510819902309582616715791731641126547219403414109581783 (200 digits)
  6. Mon Oct 12 23:59:12 2015  no P-1/P+1/ECM available, skipping
  7. Mon Oct 12 23:59:12 2015  commencing number field sieve (200-digit input)
  8. Mon Oct 12 23:59:12 2015  R0: -11973747886018297523742405394432
  9. Mon Oct 12 23:59:12 2015  R1: 24506804088319785713436649354236658982956133
  10. Mon Oct 12 23:59:12 2015  A0: 456533
  11. Mon Oct 12 23:59:12 2015  A1: 0
  12. Mon Oct 12 23:59:12 2015  A2: 0
  13. Mon Oct 12 23:59:12 2015  A3: 0
  14. Mon Oct 12 23:59:12 2015  A4: 0
  15. Mon Oct 12 23:59:12 2015  A5: 13924
  16. Mon Oct 12 23:59:12 2015  skew 1.00, size 3.102e-016, alpha -0.048, combined = 5.972e-013 rroots = 1
  17. Mon Oct 12 23:59:12 2015  
  18. Mon Oct 12 23:59:12 2015  commencing relation filtering
  19. Mon Oct 12 23:59:12 2015  setting target matrix density to 125.0
  20. Mon Oct 12 23:59:12 2015  estimated available RAM is 16331.2 MB
  21. Mon Oct 12 23:59:12 2015  commencing duplicate removal, pass 1
  22. <errors reading relations>
  23. Tue Oct 13 00:35:18 2015  skipped 39 relations with b > 2^32
  24. Tue Oct 13 00:35:18 2015  found 39928944 hash collisions in 232534754 relations
  25. Tue Oct 13 00:36:09 2015  added 731748 free relations
  26. Tue Oct 13 00:36:09 2015  commencing duplicate removal, pass 2
  27. Tue Oct 13 00:38:09 2015  found 36900501 duplicates and 196366001 unique relations
  28. Tue Oct 13 00:38:09 2015  memory use: 1321.5 MB
  29. Tue Oct 13 00:38:09 2015  reading ideals above 110034944
  30. Tue Oct 13 00:38:09 2015  commencing singleton removal, initial pass
  31. Tue Oct 13 01:12:14 2015  memory use: 3012.0 MB
  32. Tue Oct 13 01:12:14 2015  reading all ideals from disk
  33. Tue Oct 13 01:12:24 2015  memory use: 3448.6 MB
  34. Tue Oct 13 01:12:39 2015  commencing in-memory singleton removal
  35. Tue Oct 13 01:12:53 2015  begin with 196366001 relations and 162073636 unique ideals
  36. Tue Oct 13 01:15:06 2015  reduce to 128540728 relations and 87364896 ideals in 13 passes
  37. Tue Oct 13 01:15:06 2015  max relations containing the same ideal: 32
  38. Tue Oct 13 01:15:20 2015  reading ideals above 720000
  39. Tue Oct 13 01:15:20 2015  commencing singleton removal, initial pass
  40. Tue Oct 13 01:42:13 2015  memory use: 2756.0 MB
  41. Tue Oct 13 01:42:14 2015  reading all ideals from disk
  42. Tue Oct 13 01:42:30 2015  memory use: 4953.8 MB
  43. Tue Oct 13 01:42:49 2015  keeping 99323307 ideals with weight <= 200, target excess is 654712
  44. Tue Oct 13 01:43:09 2015  commencing in-memory singleton removal
  45. Tue Oct 13 01:43:25 2015  begin with 128540728 relations and 99323307 unique ideals
  46. Tue Oct 13 01:44:40 2015  reduce to 128540636 relations and 99323215 ideals in 5 passes
  47. Tue Oct 13 01:44:40 2015  max relations containing the same ideal: 200
  48. Tue Oct 13 01:45:56 2015  removing 10426638 relations and 8426638 ideals in 2000000 cliques
  49. Tue Oct 13 01:45:59 2015  commencing in-memory singleton removal
  50. Tue Oct 13 01:46:15 2015  begin with 118113998 relations and 99323215 unique ideals
  51. Tue Oct 13 01:48:40 2015  reduce to 117491858 relations and 90262412 ideals in 10 passes
  52. Tue Oct 13 01:48:40 2015  max relations containing the same ideal: 196
  53. Tue Oct 13 01:49:52 2015  removing 7914109 relations and 5914109 ideals in 2000000 cliques
  54. Tue Oct 13 01:49:55 2015  commencing in-memory singleton removal
  55. Tue Oct 13 01:50:08 2015  begin with 109577749 relations and 90262412 unique ideals
  56. Tue Oct 13 01:51:37 2015  reduce to 109161858 relations and 83925206 ideals in 7 passes
  57. Tue Oct 13 01:51:37 2015  max relations containing the same ideal: 190
  58. Tue Oct 13 01:52:39 2015  removing 7175497 relations and 5175497 ideals in 2000000 cliques
  59. Tue Oct 13 01:52:41 2015  commencing in-memory singleton removal
  60. Tue Oct 13 01:52:52 2015  begin with 101986361 relations and 83925206 unique ideals
  61. Tue Oct 13 01:54:09 2015  reduce to 101622172 relations and 78379129 ideals in 7 passes
  62. Tue Oct 13 01:54:09 2015  max relations containing the same ideal: 180
  63. Tue Oct 13 01:55:06 2015  removing 6794530 relations and 4794530 ideals in 2000000 cliques
  64. Tue Oct 13 01:55:08 2015  commencing in-memory singleton removal
  65. Tue Oct 13 01:55:18 2015  begin with 94827642 relations and 78379129 unique ideals
  66. Tue Oct 13 01:56:26 2015  reduce to 94485809 relations and 73236654 ideals in 7 passes
  67. Tue Oct 13 01:56:26 2015  max relations containing the same ideal: 173
  68. Tue Oct 13 01:57:21 2015  removing 6560976 relations and 4560976 ideals in 2000000 cliques
  69. Tue Oct 13 01:57:23 2015  commencing in-memory singleton removal
  70. Tue Oct 13 01:57:33 2015  begin with 87924833 relations and 73236654 unique ideals
  71. Tue Oct 13 01:58:37 2015  reduce to 87594354 relations and 68338820 ideals in 7 passes
  72. Tue Oct 13 01:58:37 2015  max relations containing the same ideal: 165
  73. Tue Oct 13 01:59:27 2015  removing 6404989 relations and 4404989 ideals in 2000000 cliques
  74. Tue Oct 13 01:59:29 2015  commencing in-memory singleton removal
  75. Tue Oct 13 01:59:37 2015  begin with 81189365 relations and 68338820 unique ideals
  76. Tue Oct 13 02:00:32 2015  reduce to 80856941 relations and 63594779 ideals in 7 passes
  77. Tue Oct 13 02:00:32 2015  max relations containing the same ideal: 156
  78. Tue Oct 13 02:01:18 2015  removing 6288923 relations and 4288923 ideals in 2000000 cliques
  79. Tue Oct 13 02:01:20 2015  commencing in-memory singleton removal
  80. Tue Oct 13 02:01:27 2015  begin with 74568018 relations and 63594779 unique ideals
  81. Tue Oct 13 02:02:15 2015  reduce to 74231390 relations and 58961925 ideals in 7 passes
  82. Tue Oct 13 02:02:15 2015  max relations containing the same ideal: 147
  83. Tue Oct 13 02:02:55 2015  removing 6212154 relations and 4212154 ideals in 2000000 cliques
  84. Tue Oct 13 02:02:57 2015  commencing in-memory singleton removal
  85. Tue Oct 13 02:03:03 2015  begin with 68019236 relations and 58961925 unique ideals
  86. Tue Oct 13 02:03:45 2015  reduce to 67668150 relations and 54390342 ideals in 7 passes
  87. Tue Oct 13 02:03:45 2015  max relations containing the same ideal: 141
  88. Tue Oct 13 02:04:20 2015  removing 6157338 relations and 4157338 ideals in 2000000 cliques
  89. Tue Oct 13 02:04:22 2015  commencing in-memory singleton removal
  90. Tue Oct 13 02:04:27 2015  begin with 61510812 relations and 54390342 unique ideals
  91. Tue Oct 13 02:05:03 2015  reduce to 61141434 relations and 49854097 ideals in 7 passes
  92. Tue Oct 13 02:05:03 2015  max relations containing the same ideal: 132
  93. Tue Oct 13 02:05:34 2015  removing 6125261 relations and 4125261 ideals in 2000000 cliques
  94. Tue Oct 13 02:05:36 2015  commencing in-memory singleton removal
  95. Tue Oct 13 02:05:41 2015  begin with 55016173 relations and 49854097 unique ideals
  96. Tue Oct 13 02:06:12 2015  reduce to 54616551 relations and 45318098 ideals in 7 passes
  97. Tue Oct 13 02:06:12 2015  max relations containing the same ideal: 124
  98. Tue Oct 13 02:06:41 2015  removing 6112005 relations and 4112005 ideals in 2000000 cliques
  99. Tue Oct 13 02:06:43 2015  commencing in-memory singleton removal
  100. Tue Oct 13 02:06:47 2015  begin with 48504546 relations and 45318098 unique ideals
  101. Tue Oct 13 02:07:15 2015  reduce to 48065720 relations and 40753431 ideals in 7 passes
  102. Tue Oct 13 02:07:15 2015  max relations containing the same ideal: 113
  103. Tue Oct 13 02:07:41 2015  removing 6120611 relations and 4120611 ideals in 2000000 cliques
  104. Tue Oct 13 02:07:43 2015  commencing in-memory singleton removal
  105. Tue Oct 13 02:07:46 2015  begin with 41945109 relations and 40753431 unique ideals
  106. Tue Oct 13 02:08:11 2015  reduce to 41450853 relations and 36121089 ideals in 7 passes
  107. Tue Oct 13 02:08:11 2015  max relations containing the same ideal: 104
  108. Tue Oct 13 02:08:34 2015  removing 6144009 relations and 4144009 ideals in 2000000 cliques
  109. Tue Oct 13 02:08:35 2015  commencing in-memory singleton removal
  110. Tue Oct 13 02:08:38 2015  begin with 35306844 relations and 36121089 unique ideals
  111. Tue Oct 13 02:08:58 2015  reduce to 34729933 relations and 31376509 ideals in 7 passes
  112. Tue Oct 13 02:08:58 2015  max relations containing the same ideal: 92
  113. Tue Oct 13 02:09:17 2015  removing 6181377 relations and 4181377 ideals in 2000000 cliques
  114. Tue Oct 13 02:09:19 2015  commencing in-memory singleton removal
  115. Tue Oct 13 02:09:21 2015  begin with 28548556 relations and 31376509 unique ideals
  116. Tue Oct 13 02:09:39 2015  reduce to 27842305 relations and 26454896 ideals in 8 passes
  117. Tue Oct 13 02:09:39 2015  max relations containing the same ideal: 78
  118. Tue Oct 13 02:09:54 2015  removing 2467548 relations and 1839605 ideals in 627943 cliques
  119. Tue Oct 13 02:09:55 2015  commencing in-memory singleton removal
  120. Tue Oct 13 02:09:57 2015  begin with 25374757 relations and 26454896 unique ideals
  121. Tue Oct 13 02:10:11 2015  reduce to 25221823 relations and 24459364 ideals in 7 passes
  122. Tue Oct 13 02:10:11 2015  max relations containing the same ideal: 72
  123. Tue Oct 13 02:10:28 2015  relations with 0 large ideals: 14068
  124. Tue Oct 13 02:10:28 2015  relations with 1 large ideals: 10906
  125. Tue Oct 13 02:10:28 2015  relations with 2 large ideals: 156424
  126. Tue Oct 13 02:10:28 2015  relations with 3 large ideals: 957311
  127. Tue Oct 13 02:10:28 2015  relations with 4 large ideals: 3099793
  128. Tue Oct 13 02:10:28 2015  relations with 5 large ideals: 5870956
  129. Tue Oct 13 02:10:28 2015  relations with 6 large ideals: 7087519
  130. Tue Oct 13 02:10:28 2015  relations with 7+ large ideals: 8024846
  131. Tue Oct 13 02:10:28 2015  commencing 2-way merge
  132. Tue Oct 13 02:10:45 2015  reduce to 16396329 relation sets and 15633870 unique ideals
  133. Tue Oct 13 02:10:45 2015  commencing full merge
  134. Tue Oct 13 02:19:35 2015  memory use: 2057.1 MB
  135. Tue Oct 13 02:19:37 2015  found 7366020 cycles, need 7322070
  136. Tue Oct 13 02:19:38 2015  weight of 7322070 cycles is about 915724068 (125.06/cycle)
  137. Tue Oct 13 02:19:38 2015  distribution of cycle lengths:
  138. Tue Oct 13 02:19:38 2015  1 relations: 223334
  139. Tue Oct 13 02:19:38 2015  2 relations: 381175
  140. Tue Oct 13 02:19:38 2015  3 relations: 468074
  141. Tue Oct 13 02:19:38 2015  4 relations: 501773
  142. Tue Oct 13 02:19:38 2015  5 relations: 529539
  143. Tue Oct 13 02:19:38 2015  6 relations: 536695
  144. Tue Oct 13 02:19:38 2015  7 relations: 532088
  145. Tue Oct 13 02:19:38 2015  8 relations: 519547
  146. Tue Oct 13 02:19:38 2015  9 relations: 492874
  147. Tue Oct 13 02:19:38 2015  10+ relations: 3136971
  148. Tue Oct 13 02:19:38 2015  heaviest cycle: 28 relations
  149. Tue Oct 13 02:19:39 2015  commencing cycle optimization
  150. Tue Oct 13 02:19:55 2015  start with 67795779 relations
  151. Tue Oct 13 02:23:57 2015  pruned 3352162 relations
  152. Tue Oct 13 02:23:57 2015  memory use: 1743.2 MB
  153. Tue Oct 13 02:23:57 2015  distribution of cycle lengths:
  154. Tue Oct 13 02:23:57 2015  1 relations: 223334
  155. Tue Oct 13 02:23:57 2015  2 relations: 391472
  156. Tue Oct 13 02:23:57 2015  3 relations: 488808
  157. Tue Oct 13 02:23:57 2015  4 relations: 524454
  158. Tue Oct 13 02:23:57 2015  5 relations: 558586
  159. Tue Oct 13 02:23:57 2015  6 relations: 565678
  160. Tue Oct 13 02:23:57 2015  7 relations: 564060
  161. Tue Oct 13 02:23:57 2015  8 relations: 548899
  162. Tue Oct 13 02:23:57 2015  9 relations: 519993
  163. Tue Oct 13 02:23:57 2015  10+ relations: 2936786
  164. Tue Oct 13 02:23:57 2015  heaviest cycle: 28 relations
  165. Tue Oct 13 02:24:16 2015  RelProcTime: 8704
  166. Tue Oct 13 02:24:16 2015  elapsed time 02:25:05
  167. Tue Oct 13 13:13:07 2015  
  168. Tue Oct 13 13:13:07 2015  
  169. Tue Oct 13 13:13:07 2015  Msieve v. 1.52 (SVN 946)
  170. Tue Oct 13 13:13:07 2015  random seeds: 0e24ef24 477f11f4
  171. Tue Oct 13 13:13:07 2015  factoring 37929053826770721130976655002516137962119295616501862751577777483997135220857169808770075202035625360852642276914755922968617581298708397873716342510819902309582616715791731641126547219403414109581783 (200 digits)
  172. Tue Oct 13 13:13:08 2015  no P-1/P+1/ECM available, skipping
  173. Tue Oct 13 13:13:08 2015  commencing number field sieve (200-digit input)
  174. Tue Oct 13 13:13:08 2015  R0: -11973747886018297523742405394432
  175. Tue Oct 13 13:13:08 2015  R1: 24506804088319785713436649354236658982956133
  176. Tue Oct 13 13:13:08 2015  A0: 456533
  177. Tue Oct 13 13:13:08 2015  A1: 0
  178. Tue Oct 13 13:13:08 2015  A2: 0
  179. Tue Oct 13 13:13:08 2015  A3: 0
  180. Tue Oct 13 13:13:08 2015  A4: 0
  181. Tue Oct 13 13:13:08 2015  A5: 13924
  182. Tue Oct 13 13:13:08 2015  skew 1.00, size 3.102e-016, alpha -0.048, combined = 5.972e-013 rroots = 1
  183. Tue Oct 13 13:13:08 2015  
  184. Tue Oct 13 13:13:08 2015  commencing linear algebra
  185. Tue Oct 13 13:13:09 2015  read 7322070 cycles
  186. Tue Oct 13 13:13:28 2015  cycles contain 24820290 unique relations
  187. Tue Oct 13 13:17:56 2015  read 24820290 relations
  188. Tue Oct 13 13:18:33 2015  using 20 quadratic characters above 2147478080
  189. Tue Oct 13 13:20:19 2015  building initial matrix
  190. Tue Oct 13 13:25:08 2015  memory use: 3196.2 MB
  191. Tue Oct 13 13:25:12 2015  read 7322070 cycles
  192. Tue Oct 13 13:25:14 2015  matrix is 7321893 x 7322070 (3546.0 MB) with weight 1018548809 (139.11/col)
  193. Tue Oct 13 13:25:14 2015  sparse part has weight 849020186 (115.95/col)
  194. Tue Oct 13 13:26:44 2015  filtering completed in 2 passes
  195. Tue Oct 13 13:26:47 2015  matrix is 7321771 x 7321948 (3546.0 MB) with weight 1018543835 (139.11/col)
  196. Tue Oct 13 13:26:47 2015  sparse part has weight 849018174 (115.96/col)
  197. Tue Oct 13 13:27:09 2015  matrix starts at (0, 0)
  198. Tue Oct 13 13:27:11 2015  matrix is 7321771 x 7321948 (3546.0 MB) with weight 1018543835 (139.11/col)
  199. Tue Oct 13 13:27:11 2015  sparse part has weight 849018174 (115.96/col)
  200. Tue Oct 13 13:27:11 2015  saving the first 48 matrix rows for later
  201. Tue Oct 13 13:27:13 2015  matrix includes 64 packed rows
  202. Tue Oct 13 13:27:14 2015  matrix is 7321723 x 7321948 (3389.2 MB) with weight 874226408 (119.40/col)
  203. Tue Oct 13 13:27:14 2015  sparse part has weight 815249638 (111.34/col)
  204. Tue Oct 13 13:27:14 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  205. Tue Oct 13 13:27:54 2015  commencing Lanczos iteration (4 threads)
  206. Tue Oct 13 13:27:54 2015  memory use: 2866.7 MB
  207. Tue Oct 13 13:28:21 2015  linear algebra at 0.0%, ETA 33h28m
  208. Tue Oct 13 13:28:30 2015  checkpointing every 220000 dimensions
  209. Wed Oct 14 23:54:23 2015  lanczos halted after 115784 iterations (dim = 7321720)
  210. Wed Oct 14 23:54:32 2015  recovered 36 nontrivial dependencies
  211. Wed Oct 14 23:54:35 2015  BLanczosTime: 124887
  212. Wed Oct 14 23:54:35 2015  elapsed time 34:41:28
  213. Thu Oct 15 01:43:07 2015  
  214. Thu Oct 15 01:43:07 2015  
  215. Thu Oct 15 01:43:07 2015  Msieve v. 1.52 (SVN 946)
  216. Thu Oct 15 01:43:07 2015  random seeds: 973d4770 f278cd9c
  217. Thu Oct 15 01:43:07 2015  factoring 37929053826770721130976655002516137962119295616501862751577777483997135220857169808770075202035625360852642276914755922968617581298708397873716342510819902309582616715791731641126547219403414109581783 (200 digits)
  218. Thu Oct 15 01:43:08 2015  no P-1/P+1/ECM available, skipping
  219. Thu Oct 15 01:43:08 2015  commencing number field sieve (200-digit input)
  220. Thu Oct 15 01:43:08 2015  R0: -11973747886018297523742405394432
  221. Thu Oct 15 01:43:08 2015  R1: 24506804088319785713436649354236658982956133
  222. Thu Oct 15 01:43:08 2015  A0: 456533
  223. Thu Oct 15 01:43:08 2015  A1: 0
  224. Thu Oct 15 01:43:08 2015  A2: 0
  225. Thu Oct 15 01:43:08 2015  A3: 0
  226. Thu Oct 15 01:43:08 2015  A4: 0
  227. Thu Oct 15 01:43:08 2015  A5: 13924
  228. Thu Oct 15 01:43:08 2015  skew 1.00, size 3.102e-016, alpha -0.048, combined = 5.972e-013 rroots = 1
  229. Thu Oct 15 01:43:08 2015  
  230. Thu Oct 15 01:43:08 2015  commencing square root phase
  231. Thu Oct 15 01:43:08 2015  reading relations for dependency 1
  232. Thu Oct 15 01:43:10 2015  read 3663757 cycles
  233. Thu Oct 15 01:43:18 2015  cycles contain 12413210 unique relations
  234. Thu Oct 15 01:45:46 2015  read 12413210 relations
  235. Thu Oct 15 01:47:06 2015  multiplying 12413210 relations
  236. Thu Oct 15 01:58:20 2015  multiply complete, coefficients have about 486.81 million bits
  237. Thu Oct 15 01:58:24 2015  initial square root is modulo 543028061
  238. Thu Oct 15 02:13:29 2015  sqrtTime: 1821
  239. Thu Oct 15 02:13:29 2015  prp57 factor: 471288736153998521542622677712183430204675950031435405821
  240. Thu Oct 15 02:13:29 2015  prp143 factor: 80479440557596959564357885225091525208088355423126072895140230671368085212335657452106102688837257204553939780014899023133974107543069557229923
  241. Thu Oct 15 02:13:29 2015  elapsed time 00:30:22
RAW Paste Data
Ledger Nano X - The secure hardware wallet
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