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L1608

CarlosPinho Jun 2nd, 2016 30 Never
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  1. Sat Oct  6 20:00:55 2012  
  2. Sat Oct  6 20:00:55 2012  
  3. Sat Oct  6 20:00:55 2012  Msieve v. 1.51 (SVN 755)
  4. Sat Oct  6 20:00:55 2012  random seeds: defd8f3d 582f364e
  5. Sat Oct  6 20:00:55 2012  factoring 2596315193097676246710588298812823794246435165171669198583037942872520389961289810483393353376473417243519689065766642414539564228436322770087713376201394585016349770961832897972719599338352245091841 (199 digits)
  6. Sat Oct  6 20:00:57 2012  no P-1/P+1/ECM available, skipping
  7. Sat Oct  6 20:00:57 2012  commencing number field sieve (199-digit input)
  8. Sat Oct  6 20:00:57 2012  R0: -11463113765491467695340528626429782121
  9. Sat Oct  6 20:00:57 2012  R1: 7084593923980518516849609894969925639
  10. Sat Oct  6 20:00:57 2012  A0: 4
  11. Sat Oct  6 20:00:57 2012  A1: -3
  12. Sat Oct  6 20:00:57 2012  A2: 30
  13. Sat Oct  6 20:00:57 2012  A3: 15
  14. Sat Oct  6 20:00:57 2012  A4: 45
  15. Sat Oct  6 20:00:57 2012  A5: 27
  16. Sat Oct  6 20:00:57 2012  A6: 6
  17. Sat Oct  6 20:00:57 2012  skew 1.00, size 5.228e-11, alpha 0.306, combined = 2.125e-12 rroots = 0
  18. Sat Oct  6 20:00:57 2012  
  19. Sat Oct  6 20:00:57 2012  commencing relation filtering
  20. Sat Oct  6 20:00:57 2012  estimated available RAM is 15798.7 MB
  21. Sat Oct  6 20:00:57 2012  commencing duplicate removal, pass 1
  22. Sat Oct  6 20:11:31 2012  error -15 reading relation 38647818
  23. Sat Oct  6 20:11:36 2012  error -15 reading relation 38952130
  24. Sat Oct  6 20:12:02 2012  error -15 reading relation 40527944
  25. Sat Oct  6 20:12:14 2012  error -15 reading relation 41203101
  26. Sat Oct  6 20:12:20 2012  error -9 reading relation 41577536
  27. Sat Oct  6 20:12:33 2012  error -5 reading relation 42356259
  28. Sat Oct  6 20:14:29 2012  error -15 reading relation 49497238
  29. Sat Oct  6 20:15:17 2012  error -9 reading relation 52327153
  30. Sat Oct  6 20:16:04 2012  error -15 reading relation 55156380
  31. Sat Oct  6 20:20:20 2012  error -15 reading relation 70221795
  32. Sat Oct  6 20:23:50 2012  error -15 reading relation 83243783
  33. Sat Oct  6 20:23:50 2012  error -9 reading relation 83288270
  34. Sat Oct  6 20:24:00 2012  error -9 reading relation 83887928
  35. Sat Oct  6 20:24:01 2012  error -15 reading relation 83932309
  36. Sat Oct  6 20:24:12 2012  error -15 reading relation 84620578
  37. Sat Oct  6 20:24:27 2012  error -15 reading relation 85653509
  38. Sat Oct  6 20:24:58 2012  error -9 reading relation 87695902
  39. Sat Oct  6 20:24:58 2012  error -9 reading relation 87705320
  40. Sat Oct  6 20:25:04 2012  error -1 reading relation 88054418
  41. Sat Oct  6 20:25:46 2012  error -9 reading relation 90642751
  42. Sat Oct  6 20:26:14 2012  error -1 reading relation 92333972
  43. Sat Oct  6 20:26:22 2012  error -1 reading relation 92833053
  44. Sat Oct  6 20:26:22 2012  error -15 reading relation 92836931
  45. Sat Oct  6 20:26:24 2012  error -1 reading relation 92953061
  46. Sat Oct  6 20:27:22 2012  error -15 reading relation 96430202
  47. Sat Oct  6 20:28:39 2012  error -1 reading relation 101240632
  48. Sat Oct  6 20:30:38 2012  skipped 5 relations with b > 2^32
  49. Sat Oct  6 20:30:38 2012  found 15730312 hash collisions in 108066024 relations
  50. Sat Oct  6 20:31:22 2012  added 812294 free relations
  51. Sat Oct  6 20:31:22 2012  commencing duplicate removal, pass 2
  52. Sat Oct  6 20:47:12 2012  found 13553694 duplicates and 95324624 unique relations
  53. Sat Oct  6 20:47:12 2012  memory use: 426.4 MB
  54. Sat Oct  6 20:47:12 2012  reading ideals above 720000
  55. Sat Oct  6 20:47:12 2012  commencing singleton removal, initial pass
  56. Sat Oct  6 21:22:43 2012  memory use: 2756.0 MB
  57. Sat Oct  6 21:22:43 2012  reading all ideals from disk
  58. Sat Oct  6 21:22:53 2012  memory use: 3544.8 MB
  59. Sat Oct  6 21:23:31 2012  keeping 88621978 ideals with weight <= 200, target excess is 482166
  60. Sat Oct  6 21:24:09 2012  commencing in-memory singleton removal
  61. Sat Oct  6 21:24:43 2012  begin with 95324624 relations and 88621978 unique ideals
  62. Sat Oct  6 21:30:11 2012  reduce to 58713658 relations and 47948105 ideals in 14 passes
  63. Sat Oct  6 21:30:11 2012  max relations containing the same ideal: 153
  64. Sat Oct  6 21:31:38 2012  removing 9730013 relations and 7730013 ideals in 2000000 cliques
  65. Sat Oct  6 21:31:41 2012  commencing in-memory singleton removal
  66. Sat Oct  6 21:31:58 2012  begin with 48983645 relations and 47948105 unique ideals
  67. Sat Oct  6 21:34:29 2012  reduce to 48040865 relations and 39238581 ideals in 9 passes
  68. Sat Oct  6 21:34:29 2012  max relations containing the same ideal: 133
  69. Sat Oct  6 21:35:36 2012  removing 7395003 relations and 5395003 ideals in 2000000 cliques
  70. Sat Oct  6 21:35:40 2012  commencing in-memory singleton removal
  71. Sat Oct  6 21:35:53 2012  begin with 40645862 relations and 39238581 unique ideals
  72. Sat Oct  6 21:38:06 2012  reduce to 39912254 relations and 33080825 ideals in 10 passes
  73. Sat Oct  6 21:38:06 2012  max relations containing the same ideal: 116
  74. Sat Oct  6 21:39:01 2012  removing 6717547 relations and 4717547 ideals in 2000000 cliques
  75. Sat Oct  6 21:39:04 2012  commencing in-memory singleton removal
  76. Sat Oct  6 21:39:14 2012  begin with 33194707 relations and 33080825 unique ideals
  77. Sat Oct  6 21:40:37 2012  reduce to 32500320 relations and 27638102 ideals in 8 passes
  78. Sat Oct  6 21:40:37 2012  max relations containing the same ideal: 102
  79. Sat Oct  6 21:41:21 2012  removing 6305051 relations and 4305051 ideals in 2000000 cliques
  80. Sat Oct  6 21:41:24 2012  commencing in-memory singleton removal
  81. Sat Oct  6 21:41:31 2012  begin with 26195269 relations and 27638102 unique ideals
  82. Sat Oct  6 21:42:33 2012  reduce to 25394347 relations and 22487544 ideals in 8 passes
  83. Sat Oct  6 21:42:33 2012  max relations containing the same ideal: 88
  84. Sat Oct  6 21:43:07 2012  removing 6010106 relations and 4010106 ideals in 2000000 cliques
  85. Sat Oct  6 21:43:10 2012  commencing in-memory singleton removal
  86. Sat Oct  6 21:43:15 2012  begin with 19384241 relations and 22487544 unique ideals
  87. Sat Oct  6 21:44:04 2012  reduce to 18408334 relations and 17430477 ideals in 9 passes
  88. Sat Oct  6 21:44:04 2012  max relations containing the same ideal: 68
  89. Sat Oct  6 21:44:29 2012  removing 1825592 relations and 1407048 ideals in 418544 cliques
  90. Sat Oct  6 21:44:31 2012  commencing in-memory singleton removal
  91. Sat Oct  6 21:44:35 2012  begin with 16582742 relations and 17430477 unique ideals
  92. Sat Oct  6 21:45:02 2012  reduce to 16473094 relations and 15911507 ideals in 6 passes
  93. Sat Oct  6 21:45:02 2012  max relations containing the same ideal: 65
  94. Sat Oct  6 21:45:28 2012  relations with 0 large ideals: 11867
  95. Sat Oct  6 21:45:28 2012  relations with 1 large ideals: 9171
  96. Sat Oct  6 21:45:28 2012  relations with 2 large ideals: 104712
  97. Sat Oct  6 21:45:28 2012  relations with 3 large ideals: 609058
  98. Sat Oct  6 21:45:28 2012  relations with 4 large ideals: 1932999
  99. Sat Oct  6 21:45:28 2012  relations with 5 large ideals: 3697589
  100. Sat Oct  6 21:45:28 2012  relations with 6 large ideals: 4429245
  101. Sat Oct  6 21:45:28 2012  relations with 7+ large ideals: 5678453
  102. Sat Oct  6 21:45:28 2012  commencing 2-way merge
  103. Sat Oct  6 21:45:53 2012  reduce to 11252715 relation sets and 10691128 unique ideals
  104. Sat Oct  6 21:45:53 2012  commencing full merge
  105. Sat Oct  6 21:51:13 2012  memory use: 1322.6 MB
  106. Sat Oct  6 21:51:15 2012  found 5997464 cycles, need 5919328
  107. Sat Oct  6 21:51:17 2012  weight of 5919328 cycles is about 414395788 (70.01/cycle)
  108. Sat Oct  6 21:51:17 2012  distribution of cycle lengths:
  109. Sat Oct  6 21:51:17 2012  1 relations: 658614
  110. Sat Oct  6 21:51:17 2012  2 relations: 723560
  111. Sat Oct  6 21:51:17 2012  3 relations: 748606
  112. Sat Oct  6 21:51:17 2012  4 relations: 703094
  113. Sat Oct  6 21:51:17 2012  5 relations: 643969
  114. Sat Oct  6 21:51:17 2012  6 relations: 551968
  115. Sat Oct  6 21:51:17 2012  7 relations: 462266
  116. Sat Oct  6 21:51:17 2012  8 relations: 373707
  117. Sat Oct  6 21:51:18 2012  9 relations: 296165
  118. Sat Oct  6 21:51:18 2012  10+ relations: 757379
  119. Sat Oct  6 21:51:18 2012  heaviest cycle: 19 relations
  120. Sat Oct  6 21:51:21 2012  commencing cycle optimization
  121. Sat Oct  6 21:51:36 2012  start with 31545444 relations
  122. Sat Oct  6 21:52:49 2012  pruned 935483 relations
  123. Sat Oct  6 21:52:49 2012  memory use: 1003.0 MB
  124. Sat Oct  6 21:52:49 2012  distribution of cycle lengths:
  125. Sat Oct  6 21:52:49 2012  1 relations: 658614
  126. Sat Oct  6 21:52:49 2012  2 relations: 739695
  127. Sat Oct  6 21:52:49 2012  3 relations: 777548
  128. Sat Oct  6 21:52:49 2012  4 relations: 724764
  129. Sat Oct  6 21:52:49 2012  5 relations: 665871
  130. Sat Oct  6 21:52:49 2012  6 relations: 564196
  131. Sat Oct  6 21:52:49 2012  7 relations: 468619
  132. Sat Oct  6 21:52:49 2012  8 relations: 371694
  133. Sat Oct  6 21:52:49 2012  9 relations: 289104
  134. Sat Oct  6 21:52:49 2012  10+ relations: 659223
  135. Sat Oct  6 21:52:49 2012  heaviest cycle: 19 relations
  136. Sat Oct  6 21:53:02 2012  RelProcTime: 6725
  137. Sat Oct  6 21:53:02 2012  
  138. Sat Oct  6 21:53:02 2012  commencing linear algebra
  139. Sat Oct  6 21:53:06 2012  read 5919328 cycles
  140. Sat Oct  6 21:53:20 2012  cycles contain 16162661 unique relations
  141. Sat Oct  6 22:10:06 2012  read 16162661 relations
  142. Sat Oct  6 22:10:45 2012  using 20 quadratic characters above 1073740068
  143. Sat Oct  6 22:12:27 2012  building initial matrix
  144. Sat Oct  6 22:17:26 2012  memory use: 2134.7 MB
  145. Sat Oct  6 22:17:30 2012  read 5919328 cycles
  146. Sat Oct  6 22:17:31 2012  matrix is 5919147 x 5919328 (1766.4 MB) with weight 518788621 (87.64/col)
  147. Sat Oct  6 22:17:31 2012  sparse part has weight 397946238 (67.23/col)
  148. Sat Oct  6 22:19:31 2012  filtering completed in 2 passes
  149. Sat Oct  6 22:19:32 2012  matrix is 5917234 x 5917414 (1766.3 MB) with weight 518726805 (87.66/col)
  150. Sat Oct  6 22:19:32 2012  sparse part has weight 397923136 (67.25/col)
  151. Sat Oct  6 22:20:26 2012  matrix starts at (0, 0)
  152. Sat Oct  6 22:20:27 2012  matrix is 5917234 x 5917414 (1766.3 MB) with weight 518726805 (87.66/col)
  153. Sat Oct  6 22:20:27 2012  sparse part has weight 397923136 (67.25/col)
  154. Sat Oct  6 22:20:27 2012  saving the first 48 matrix rows for later
  155. Sat Oct  6 22:20:28 2012  matrix includes 64 packed rows
  156. Sat Oct  6 22:20:29 2012  matrix is 5917186 x 5917414 (1682.0 MB) with weight 410475148 (69.37/col)
  157. Sat Oct  6 22:20:29 2012  sparse part has weight 381755346 (64.51/col)
  158. Sat Oct  6 22:20:29 2012  using block size 21845 for processor cache size 512 kB
  159. Sat Oct  6 22:20:49 2012  commencing Lanczos iteration (4 threads)
  160. Sat Oct  6 22:20:49 2012  memory use: 2060.7 MB
  161. Sat Oct  6 22:22:18 2012  linear algebra at 0.0%, ETA 92h26m
  162. Sat Oct  6 22:22:47 2012  checkpointing every 70000 dimensions
  163. Sun Oct  7 11:54:03 2012  lanczos halted after 12818 iterations (dim = 810671)
  164. Sun Oct  7 11:54:03 2012  BLanczosTime: 50461
  165. Sun Oct  7 11:54:03 2012  
  166. Sun Oct  7 11:54:03 2012  commencing square root phase
  167. Sun Oct  7 11:54:03 2012  reading relations for dependency 1
  168. Sun Oct  7 11:54:03 2012  error: read_cycles can't open dependency file
  169. Sun Oct  7 11:54:20 2012  
  170. Sun Oct  7 11:54:20 2012  
  171. Sun Oct  7 11:54:20 2012  Msieve v. 1.51 (SVN 755)
  172. Sun Oct  7 11:54:20 2012  random seeds: d535671c 8a95a533
  173. Sun Oct  7 11:54:20 2012  factoring 2596315193097676246710588298812823794246435165171669198583037942872520389961289810483393353376473417243519689065766642414539564228436322770087713376201394585016349770961832897972719599338352245091841 (199 digits)
  174. Sun Oct  7 11:54:22 2012  no P-1/P+1/ECM available, skipping
  175. Sun Oct  7 11:54:22 2012  commencing number field sieve (199-digit input)
  176. Sun Oct  7 11:54:22 2012  R0: -11463113765491467695340528626429782121
  177. Sun Oct  7 11:54:22 2012  R1: 7084593923980518516849609894969925639
  178. Sun Oct  7 11:54:22 2012  A0: 4
  179. Sun Oct  7 11:54:22 2012  A1: -3
  180. Sun Oct  7 11:54:22 2012  A2: 30
  181. Sun Oct  7 11:54:22 2012  A3: 15
  182. Sun Oct  7 11:54:22 2012  A4: 45
  183. Sun Oct  7 11:54:22 2012  A5: 27
  184. Sun Oct  7 11:54:22 2012  A6: 6
  185. Sun Oct  7 11:54:22 2012  skew 1.00, size 5.228e-11, alpha 0.306, combined = 2.125e-12 rroots = 0
  186. Sun Oct  7 11:54:22 2012  
  187. Sun Oct  7 11:54:22 2012  commencing linear algebra
  188. Sun Oct  7 11:54:24 2012  matrix starts at (0, 0)
  189. Sun Oct  7 11:54:25 2012  matrix is 5917234 x 5917414 (1766.3 MB) with weight 518726805 (87.66/col)
  190. Sun Oct  7 11:54:25 2012  sparse part has weight 397923136 (67.25/col)
  191. Sun Oct  7 11:54:25 2012  saving the first 48 matrix rows for later
  192. Sun Oct  7 11:54:26 2012  matrix includes 64 packed rows
  193. Sun Oct  7 11:54:27 2012  matrix is 5917186 x 5917414 (1682.0 MB) with weight 410475148 (69.37/col)
  194. Sun Oct  7 11:54:27 2012  sparse part has weight 381755346 (64.51/col)
  195. Sun Oct  7 11:54:27 2012  using block size 21845 for processor cache size 512 kB
  196. Sun Oct  7 11:54:48 2012  commencing Lanczos iteration (3 threads)
  197. Sun Oct  7 11:54:48 2012  memory use: 2015.5 MB
  198. Sun Oct  7 11:54:48 2012  restarting at iteration 12818 (dim = 810671)
  199. Sun Oct  7 11:56:05 2012  checkpointing every 70000 dimensions
  200. Sun Oct  7 11:56:12 2012  linear algebra at 13.7%, ETA 78h43m
  201. Mon Oct  8 08:40:13 2012  lanczos halted after 29190 iterations (dim = 1845936)
  202. Mon Oct  8 08:40:13 2012  BLanczosTime: 74751
  203. Mon Oct  8 08:40:13 2012  elapsed time 20:45:53
  204. Mon Oct  8 08:40:22 2012  
  205. Mon Oct  8 08:40:22 2012  
  206. Mon Oct  8 08:40:22 2012  Msieve v. 1.51 (SVN 755)
  207. Mon Oct  8 08:40:22 2012  random seeds: fb414671 56e0aca9
  208. Mon Oct  8 08:40:22 2012  factoring 2596315193097676246710588298812823794246435165171669198583037942872520389961289810483393353376473417243519689065766642414539564228436322770087713376201394585016349770961832897972719599338352245091841 (199 digits)
  209. Mon Oct  8 08:40:23 2012  no P-1/P+1/ECM available, skipping
  210. Mon Oct  8 08:40:23 2012  commencing number field sieve (199-digit input)
  211. Mon Oct  8 08:40:23 2012  R0: -11463113765491467695340528626429782121
  212. Mon Oct  8 08:40:23 2012  R1: 7084593923980518516849609894969925639
  213. Mon Oct  8 08:40:23 2012  A0: 4
  214. Mon Oct  8 08:40:23 2012  A1: -3
  215. Mon Oct  8 08:40:23 2012  A2: 30
  216. Mon Oct  8 08:40:23 2012  A3: 15
  217. Mon Oct  8 08:40:23 2012  A4: 45
  218. Mon Oct  8 08:40:23 2012  A5: 27
  219. Mon Oct  8 08:40:23 2012  A6: 6
  220. Mon Oct  8 08:40:23 2012  skew 1.00, size 5.228e-11, alpha 0.306, combined = 2.125e-12 rroots = 0
  221. Mon Oct  8 08:40:23 2012  
  222. Mon Oct  8 08:40:23 2012  commencing linear algebra
  223. Mon Oct  8 08:40:26 2012  matrix starts at (0, 0)
  224. Mon Oct  8 08:40:27 2012  matrix is 5917234 x 5917414 (1766.3 MB) with weight 518726805 (87.66/col)
  225. Mon Oct  8 08:40:27 2012  sparse part has weight 397923136 (67.25/col)
  226. Mon Oct  8 08:40:27 2012  saving the first 48 matrix rows for later
  227. Mon Oct  8 08:40:29 2012  matrix includes 64 packed rows
  228. Mon Oct  8 08:40:30 2012  matrix is 5917186 x 5917414 (1682.0 MB) with weight 410475148 (69.37/col)
  229. Mon Oct  8 08:40:30 2012  sparse part has weight 381755346 (64.51/col)
  230. Mon Oct  8 08:40:30 2012  using block size 21845 for processor cache size 512 kB
  231. Mon Oct  8 08:40:51 2012  commencing Lanczos iteration (3 threads)
  232. Mon Oct  8 08:40:51 2012  memory use: 2015.5 MB
  233. Mon Oct  8 08:40:52 2012  restarting at iteration 29190 (dim = 1845936)
  234. Mon Oct  8 08:42:58 2012  linear algebra at 31.2%, ETA 93h42m
  235. Mon Oct  8 08:43:46 2012  checkpointing every 50000 dimensions
  236. Thu Oct 11 08:47:07 2012  lanczos halted after 93576 iterations (dim = 5917185)
  237. Thu Oct 11 08:47:17 2012  recovered 36 nontrivial dependencies
  238. Thu Oct 11 08:47:18 2012  BLanczosTime: 259615
  239. Thu Oct 11 08:47:18 2012  elapsed time 72:06:56
  240. Thu Oct 11 10:31:27 2012  
  241. Thu Oct 11 10:31:27 2012  
  242. Thu Oct 11 10:31:27 2012  Msieve v. 1.51 (SVN 755)
  243. Thu Oct 11 10:31:27 2012  random seeds: be14b2c1 0ffeb1db
  244. Thu Oct 11 10:31:27 2012  factoring 2596315193097676246710588298812823794246435165171669198583037942872520389961289810483393353376473417243519689065766642414539564228436322770087713376201394585016349770961832897972719599338352245091841 (199 digits)
  245. Thu Oct 11 10:31:29 2012  no P-1/P+1/ECM available, skipping
  246. Thu Oct 11 10:31:29 2012  commencing number field sieve (199-digit input)
  247. Thu Oct 11 10:31:29 2012  R0: -11463113765491467695340528626429782121
  248. Thu Oct 11 10:31:29 2012  R1: 7084593923980518516849609894969925639
  249. Thu Oct 11 10:31:29 2012  A0: 4
  250. Thu Oct 11 10:31:29 2012  A1: -3
  251. Thu Oct 11 10:31:29 2012  A2: 30
  252. Thu Oct 11 10:31:29 2012  A3: 15
  253. Thu Oct 11 10:31:29 2012  A4: 45
  254. Thu Oct 11 10:31:29 2012  A5: 27
  255. Thu Oct 11 10:31:29 2012  A6: 6
  256. Thu Oct 11 10:31:29 2012  skew 1.00, size 5.228e-11, alpha 0.306, combined = 2.125e-12 rroots = 0
  257. Thu Oct 11 10:31:29 2012  
  258. Thu Oct 11 10:31:29 2012  commencing square root phase
  259. Thu Oct 11 10:31:29 2012  reading relations for dependency 1
  260. Thu Oct 11 10:31:30 2012  read 2959281 cycles
  261. Thu Oct 11 10:31:38 2012  cycles contain 8082300 unique relations
  262. Thu Oct 11 10:47:51 2012  read 8082300 relations
  263. Thu Oct 11 10:48:55 2012  multiplying 8082300 relations
  264. Thu Oct 11 10:56:43 2012  multiply complete, coefficients have about 223.20 million bits
  265. Thu Oct 11 10:56:48 2012  initial square root is modulo 102349769
  266. Thu Oct 11 11:06:15 2012  sqrtTime: 2086
  267. Thu Oct 11 11:06:15 2012  prp73 factor: 8255573376767297184037171109027849278486380511699906080209069464226145121
  268. Thu Oct 11 11:06:15 2012  prp126 factor: 314492413138036543775577753850678739401681495854001440891838007202943473628105159744190738086955857371846102202610629662748321
  269. Thu Oct 11 11:06:15 2012  elapsed time 00:34:48
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