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  1. Thu Jun 23 11:27:46 2016  
  2. Thu Jun 23 11:27:46 2016  
  3. Thu Jun 23 11:27:46 2016  Msieve v. 1.53 (SVN 988M)
  4. Thu Jun 23 11:27:46 2016  random seeds: ce0773a4 bbfe2bdd
  5. Thu Jun 23 11:27:46 2016  factoring 427012629766724673929385217274722174144864771401005905971506829213866730269340029153112660267155303104443073751280298125838432708859794742253505350469307856230028549971601892859554917406220193567318829312688305071605027603549 (225 digits)
  6. Thu Jun 23 11:27:47 2016  searching for 15-digit factors
  7. Thu Jun 23 11:27:49 2016  commencing number field sieve (225-digit input)
  8. Thu Jun 23 11:27:49 2016  R0: 1326410034644195374346903552
  9. Thu Jun 23 11:27:49 2016  R1: -89648251976843595444986830377401534401
  10. Thu Jun 23 11:27:49 2016  A0: 6241
  11. Thu Jun 23 11:27:49 2016  A1: 0
  12. Thu Jun 23 11:27:49 2016  A2: 0
  13. Thu Jun 23 11:27:49 2016  A3: 0
  14. Thu Jun 23 11:27:49 2016  A4: 0
  15. Thu Jun 23 11:27:49 2016  A5: 0
  16. Thu Jun 23 11:27:49 2016  A6: 122
  17. Thu Jun 23 11:27:49 2016  skew 1.93, size 8.489e-12, alpha -0.440, combined = 5.845e-13 rroots = 0
  18. Thu Jun 23 11:27:49 2016  
  19. Thu Jun 23 11:27:49 2016  commencing relation filtering
  20. Thu Jun 23 11:27:49 2016  setting target matrix density to 120.0
  21. Thu Jun 23 11:27:49 2016  estimated available RAM is 65536.0 MB
  22. Thu Jun 23 11:27:49 2016  commencing duplicate removal, pass 1
  23. Thu Jun 23 11:42:18 2016  error -9 reading relation 100757641
  24. Thu Jun 23 11:49:57 2016  error -15 reading relation 154062785
  25. Thu Jun 23 11:51:58 2016  error -15 reading relation 168232014
  26. Thu Jun 23 11:52:02 2016  error -15 reading relation 168686568
  27. Thu Jun 23 11:56:46 2016  error -9 reading relation 201252305
  28. Thu Jun 23 11:56:51 2016  error -9 reading relation 201878429
  29. Thu Jun 23 11:56:54 2016  error -5 reading relation 202274446
  30. Thu Jun 23 11:57:15 2016  error -15 reading relation 204738047
  31. Thu Jun 23 11:57:15 2016  error -1 reading relation 204743819
  32. Thu Jun 23 11:58:12 2016  error -9 reading relation 211373340
  33. Thu Jun 23 11:58:29 2016  error -9 reading relation 213287293
  34. Thu Jun 23 11:58:30 2016  error -1 reading relation 213303627
  35. Thu Jun 23 11:58:33 2016  error -9 reading relation 213675437
  36. Thu Jun 23 11:59:08 2016  skipped 13 relations with b > 2^32
  37. Thu Jun 23 11:59:08 2016  skipped 7 relations with composite factors
  38. Thu Jun 23 11:59:08 2016  found 37393696 hash collisions in 217831686 relations
  39. Thu Jun 23 11:59:26 2016  added 1217393 free relations
  40. Thu Jun 23 11:59:26 2016  commencing duplicate removal, pass 2
  41. Thu Jun 23 12:03:15 2016  found 34753245 duplicates and 184295834 unique relations
  42. Thu Jun 23 12:03:15 2016  memory use: 1321.5 MB
  43. Thu Jun 23 12:03:15 2016  reading ideals above 720000
  44. Thu Jun 23 12:03:15 2016  commencing singleton removal, initial pass
  45. Thu Jun 23 12:29:20 2016  memory use: 5512.0 MB
  46. Thu Jun 23 12:29:20 2016  reading all ideals from disk
  47. Thu Jun 23 12:29:25 2016  memory use: 7109.4 MB
  48. Thu Jun 23 12:29:46 2016  keeping 169927689 ideals with weight <= 200, target excess is 914351
  49. Thu Jun 23 12:30:10 2016  commencing in-memory singleton removal
  50. Thu Jun 23 12:30:26 2016  begin with 184295834 relations and 169927689 unique ideals
  51. Thu Jun 23 12:33:16 2016  reduce to 112583851 relations and 90105337 ideals in 14 passes
  52. Thu Jun 23 12:33:16 2016  max relations containing the same ideal: 150
  53. Thu Jun 23 12:34:10 2016  removing 10981271 relations and 8981271 ideals in 2000000 cliques
  54. Thu Jun 23 12:34:14 2016  commencing in-memory singleton removal
  55. Thu Jun 23 12:34:23 2016  begin with 101602580 relations and 90105337 unique ideals
  56. Thu Jun 23 12:35:51 2016  reduce to 100815977 relations and 80319587 ideals in 9 passes
  57. Thu Jun 23 12:35:51 2016  max relations containing the same ideal: 140
  58. Thu Jun 23 12:36:41 2016  removing 8306914 relations and 6306914 ideals in 2000000 cliques
  59. Thu Jun 23 12:36:44 2016  commencing in-memory singleton removal
  60. Thu Jun 23 12:36:52 2016  begin with 92509063 relations and 80319587 unique ideals
  61. Thu Jun 23 12:38:01 2016  reduce to 91982170 relations and 73475266 ideals in 8 passes
  62. Thu Jun 23 12:38:01 2016  max relations containing the same ideal: 133
  63. Thu Jun 23 12:38:46 2016  removing 7520798 relations and 5520798 ideals in 2000000 cliques
  64. Thu Jun 23 12:38:49 2016  commencing in-memory singleton removal
  65. Thu Jun 23 12:38:57 2016  begin with 84461372 relations and 73475266 unique ideals
  66. Thu Jun 23 12:39:53 2016  reduce to 83992136 relations and 67475726 ideals in 7 passes
  67. Thu Jun 23 12:39:53 2016  max relations containing the same ideal: 126
  68. Thu Jun 23 12:40:33 2016  removing 7126260 relations and 5126260 ideals in 2000000 cliques
  69. Thu Jun 23 12:40:35 2016  commencing in-memory singleton removal
  70. Thu Jun 23 12:40:42 2016  begin with 76865876 relations and 67475726 unique ideals
  71. Thu Jun 23 12:41:39 2016  reduce to 76417910 relations and 61891845 ideals in 8 passes
  72. Thu Jun 23 12:41:39 2016  max relations containing the same ideal: 119
  73. Thu Jun 23 12:42:17 2016  removing 6882423 relations and 4882423 ideals in 2000000 cliques
  74. Thu Jun 23 12:42:19 2016  commencing in-memory singleton removal
  75. Thu Jun 23 12:42:25 2016  begin with 69535487 relations and 61891845 unique ideals
  76. Thu Jun 23 12:43:10 2016  reduce to 69089037 relations and 56552653 ideals in 7 passes
  77. Thu Jun 23 12:43:10 2016  max relations containing the same ideal: 109
  78. Thu Jun 23 12:43:44 2016  removing 6716639 relations and 4716639 ideals in 2000000 cliques
  79. Thu Jun 23 12:43:47 2016  commencing in-memory singleton removal
  80. Thu Jun 23 12:43:52 2016  begin with 62372398 relations and 56552653 unique ideals
  81. Thu Jun 23 12:44:32 2016  reduce to 61914166 relations and 51366187 ideals in 7 passes
  82. Thu Jun 23 12:44:32 2016  max relations containing the same ideal: 103
  83. Thu Jun 23 12:45:02 2016  removing 6610433 relations and 4610433 ideals in 2000000 cliques
  84. Thu Jun 23 12:45:04 2016  commencing in-memory singleton removal
  85. Thu Jun 23 12:45:09 2016  begin with 55303733 relations and 51366187 unique ideals
  86. Thu Jun 23 12:45:49 2016  reduce to 54819892 relations and 46258323 ideals in 8 passes
  87. Thu Jun 23 12:45:49 2016  max relations containing the same ideal: 93
  88. Thu Jun 23 12:46:16 2016  removing 6540456 relations and 4540456 ideals in 2000000 cliques
  89. Thu Jun 23 12:46:18 2016  commencing in-memory singleton removal
  90. Thu Jun 23 12:46:22 2016  begin with 48279436 relations and 46258323 unique ideals
  91. Thu Jun 23 12:46:56 2016  reduce to 47757014 relations and 41178963 ideals in 8 passes
  92. Thu Jun 23 12:46:56 2016  max relations containing the same ideal: 84
  93. Thu Jun 23 12:47:20 2016  removing 6492875 relations and 4492875 ideals in 2000000 cliques
  94. Thu Jun 23 12:47:22 2016  commencing in-memory singleton removal
  95. Thu Jun 23 12:47:25 2016  begin with 41264139 relations and 41178963 unique ideals
  96. Thu Jun 23 12:47:55 2016  reduce to 40679328 relations and 36080159 ideals in 8 passes
  97. Thu Jun 23 12:47:55 2016  max relations containing the same ideal: 77
  98. Thu Jun 23 12:48:14 2016  removing 6471117 relations and 4471117 ideals in 2000000 cliques
  99. Thu Jun 23 12:48:17 2016  commencing in-memory singleton removal
  100. Thu Jun 23 12:48:19 2016  begin with 34208211 relations and 36080159 unique ideals
  101. Thu Jun 23 12:48:42 2016  reduce to 33531962 relations and 30904545 ideals in 8 passes
  102. Thu Jun 23 12:48:42 2016  max relations containing the same ideal: 68
  103. Thu Jun 23 12:48:58 2016  removing 5306413 relations and 3739644 ideals in 1566769 cliques
  104. Thu Jun 23 12:49:00 2016  commencing in-memory singleton removal
  105. Thu Jun 23 12:49:02 2016  begin with 28225549 relations and 30904545 unique ideals
  106. Thu Jun 23 12:49:18 2016  reduce to 27657774 relations and 26573848 ideals in 7 passes
  107. Thu Jun 23 12:49:18 2016  max relations containing the same ideal: 61
  108. Thu Jun 23 12:49:31 2016  removing 159072 relations and 135794 ideals in 23278 cliques
  109. Thu Jun 23 12:49:32 2016  commencing in-memory singleton removal
  110. Thu Jun 23 12:49:34 2016  begin with 27498702 relations and 26573848 unique ideals
  111. Thu Jun 23 12:49:44 2016  reduce to 27498108 relations and 26437459 ideals in 5 passes
  112. Thu Jun 23 12:49:44 2016  max relations containing the same ideal: 61
  113. Thu Jun 23 12:49:50 2016  relations with 0 large ideals: 33701
  114. Thu Jun 23 12:49:50 2016  relations with 1 large ideals: 28333
  115. Thu Jun 23 12:49:50 2016  relations with 2 large ideals: 310595
  116. Thu Jun 23 12:49:50 2016  relations with 3 large ideals: 1618916
  117. Thu Jun 23 12:49:50 2016  relations with 4 large ideals: 4455258
  118. Thu Jun 23 12:49:50 2016  relations with 5 large ideals: 7160498
  119. Thu Jun 23 12:49:50 2016  relations with 6 large ideals: 7060007
  120. Thu Jun 23 12:49:50 2016  relations with 7+ large ideals: 6830800
  121. Thu Jun 23 12:49:50 2016  commencing 2-way merge
  122. Thu Jun 23 12:50:07 2016  reduce to 17784636 relation sets and 16723987 unique ideals
  123. Thu Jun 23 12:50:07 2016  commencing full merge
  124. Thu Jun 23 12:57:03 2016  memory use: 2197.0 MB
  125. Thu Jun 23 12:57:07 2016  found 8031096 cycles, need 7968187
  126. Thu Jun 23 12:57:07 2016  weight of 7968187 cycles is about 956195894 (120.00/cycle)
  127. Thu Jun 23 12:57:07 2016  distribution of cycle lengths:
  128. Thu Jun 23 12:57:07 2016  1 relations: 309668
  129. Thu Jun 23 12:57:07 2016  2 relations: 463094
  130. Thu Jun 23 12:57:07 2016  3 relations: 541950
  131. Thu Jun 23 12:57:07 2016  4 relations: 567886
  132. Thu Jun 23 12:57:07 2016  5 relations: 582565
  133. Thu Jun 23 12:57:07 2016  6 relations: 581539
  134. Thu Jun 23 12:57:07 2016  7 relations: 571768
  135. Thu Jun 23 12:57:07 2016  8 relations: 549464
  136. Thu Jun 23 12:57:07 2016  9 relations: 517164
  137. Thu Jun 23 12:57:07 2016  10+ relations: 3283089
  138. Thu Jun 23 12:57:07 2016  heaviest cycle: 28 relations
  139. Thu Jun 23 12:57:10 2016  commencing cycle optimization
  140. Thu Jun 23 12:57:29 2016  start with 72090013 relations
  141. Thu Jun 23 13:00:46 2016  pruned 3380795 relations
  142. Thu Jun 23 13:00:46 2016  memory use: 1875.4 MB
  143. Thu Jun 23 13:00:46 2016  distribution of cycle lengths:
  144. Thu Jun 23 13:00:46 2016  1 relations: 309668
  145. Thu Jun 23 13:00:46 2016  2 relations: 474395
  146. Thu Jun 23 13:00:46 2016  3 relations: 565166
  147. Thu Jun 23 13:00:46 2016  4 relations: 591696
  148. Thu Jun 23 13:00:46 2016  5 relations: 613035
  149. Thu Jun 23 13:00:46 2016  6 relations: 611048
  150. Thu Jun 23 13:00:46 2016  7 relations: 603307
  151. Thu Jun 23 13:00:46 2016  8 relations: 577508
  152. Thu Jun 23 13:00:46 2016  9 relations: 543052
  153. Thu Jun 23 13:00:46 2016  10+ relations: 3079312
  154. Thu Jun 23 13:00:46 2016  heaviest cycle: 28 relations
  155. Thu Jun 23 13:01:12 2016  RelProcTime: 5603
  156. Thu Jun 23 13:01:12 2016  
  157. Thu Jun 23 13:01:12 2016  commencing linear algebra
  158. Thu Jun 23 13:01:14 2016  read 7968187 cycles
  159. Thu Jun 23 13:01:33 2016  cycles contain 26924450 unique relations
  160. Thu Jun 23 13:06:19 2016  read 26924450 relations
  161. Thu Jun 23 13:07:15 2016  using 20 quadratic characters above 4294917295
  162. Thu Jun 23 13:09:07 2016  building initial matrix
  163. Thu Jun 23 13:14:36 2016  memory use: 3456.8 MB
  164. Thu Jun 23 13:14:44 2016  read 7968187 cycles
  165. Thu Jun 23 13:14:45 2016  matrix is 7968010 x 7968187 (3728.1 MB) with weight 1080726281 (135.63/col)
  166. Thu Jun 23 13:14:45 2016  sparse part has weight 889640289 (111.65/col)
  167. Thu Jun 23 13:16:39 2016  filtering completed in 2 passes
  168. Thu Jun 23 13:16:40 2016  matrix is 7967697 x 7967874 (3728.0 MB) with weight 1080714021 (135.63/col)
  169. Thu Jun 23 13:16:40 2016  sparse part has weight 889636035 (111.65/col)
  170. Thu Jun 23 13:18:33 2016  matrix starts at (0, 0)
  171. Thu Jun 23 13:18:33 2016  matrix is 7967697 x 7967874 (3728.0 MB) with weight 1080714021 (135.63/col)
  172. Thu Jun 23 13:18:33 2016  sparse part has weight 889636035 (111.65/col)
  173. Thu Jun 23 13:18:33 2016  saving the first 48 matrix rows for later
  174. Thu Jun 23 13:18:35 2016  matrix includes 64 packed rows
  175. Thu Jun 23 13:18:36 2016  matrix is 7967649 x 7967874 (3569.7 MB) with weight 920323062 (115.50/col)
  176. Thu Jun 23 13:18:36 2016  sparse part has weight 856083802 (107.44/col)
  177. Thu Jun 23 13:18:36 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  178. Thu Jun 23 13:19:28 2016  commencing Lanczos iteration (12 threads)
  179. Thu Jun 23 13:19:28 2016  memory use: 3025.0 MB
  180. Thu Jun 23 13:19:43 2016  linear algebra at 0.0%, ETA 20h20m
  181. Thu Jun 23 13:19:48 2016  checkpointing every 390000 dimensions
  182. Fri Jun 24 11:49:23 2016  
  183. Fri Jun 24 11:49:23 2016  
  184. Fri Jun 24 11:49:23 2016  Msieve v. 1.53 (SVN 988M)
  185. Fri Jun 24 11:49:23 2016  random seeds: fbf14e68 dca0d329
  186. Fri Jun 24 11:49:23 2016  factoring 427012629766724673929385217274722174144864771401005905971506829213866730269340029153112660267155303104443073751280298125838432708859794742253505350469307856230028549971601892859554917406220193567318829312688305071605027603549 (225 digits)
  187. Fri Jun 24 11:49:24 2016  searching for 15-digit factors
  188. Fri Jun 24 11:49:26 2016  commencing number field sieve (225-digit input)
  189. Fri Jun 24 11:49:26 2016  R0: 1326410034644195374346903552
  190. Fri Jun 24 11:49:26 2016  R1: -89648251976843595444986830377401534401
  191. Fri Jun 24 11:49:26 2016  A0: 6241
  192. Fri Jun 24 11:49:26 2016  A1: 0
  193. Fri Jun 24 11:49:26 2016  A2: 0
  194. Fri Jun 24 11:49:26 2016  A3: 0
  195. Fri Jun 24 11:49:26 2016  A4: 0
  196. Fri Jun 24 11:49:26 2016  A5: 0
  197. Fri Jun 24 11:49:26 2016  A6: 122
  198. Fri Jun 24 11:49:26 2016  skew 1.93, size 8.489e-12, alpha -0.440, combined = 5.845e-13 rroots = 0
  199. Fri Jun 24 11:49:26 2016  
  200. Fri Jun 24 11:49:26 2016  commencing linear algebra
  201. Fri Jun 24 11:50:50 2016  matrix starts at (0, 0)
  202. Fri Jun 24 11:50:50 2016  matrix is 7967697 x 7967874 (3728.0 MB) with weight 1080714021 (135.63/col)
  203. Fri Jun 24 11:50:50 2016  sparse part has weight 889636035 (111.65/col)
  204. Fri Jun 24 11:50:50 2016  saving the first 48 matrix rows for later
  205. Fri Jun 24 11:50:52 2016  matrix includes 64 packed rows
  206. Fri Jun 24 11:50:53 2016  matrix is 7967649 x 7967874 (3569.7 MB) with weight 920323062 (115.50/col)
  207. Fri Jun 24 11:50:53 2016  sparse part has weight 856083802 (107.44/col)
  208. Fri Jun 24 11:50:53 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  209. Fri Jun 24 11:51:46 2016  commencing Lanczos iteration (12 threads)
  210. Fri Jun 24 11:51:46 2016  memory use: 3025.0 MB
  211. Fri Jun 24 11:51:53 2016  restarting at iteration 24672 (dim = 1560041)
  212. Fri Jun 24 11:52:07 2016  linear algebra at 19.6%, ETA 16h22m
  213. Fri Jun 24 11:52:11 2016  checkpointing every 400000 dimensions
  214. Sat Jun 25 03:47:42 2016  lanczos halted after 126007 iterations (dim = 7967648)
  215. Sat Jun 25 03:47:52 2016  recovered 34 nontrivial dependencies
  216. Sat Jun 25 03:47:55 2016  BLanczosTime: 57509
  217. Sat Jun 25 03:47:55 2016  
  218. Sat Jun 25 03:47:55 2016  commencing square root phase
  219. Sat Jun 25 03:47:55 2016  reading relations for dependency 1
  220. Sat Jun 25 03:48:02 2016  read 3984721 cycles
  221. Sat Jun 25 03:48:10 2016  cycles contain 13463732 unique relations
  222. Sat Jun 25 03:52:56 2016  read 13463732 relations
  223. Sat Jun 25 03:53:53 2016  multiplying 13463732 relations
  224. Sat Jun 25 04:06:00 2016  multiply complete, coefficients have about 431.80 million bits
  225. Sat Jun 25 04:06:01 2016  initial square root is modulo 55955161
  226. Sat Jun 25 04:18:32 2016  sqrtTime: 1837
  227. Sat Jun 25 04:18:32 2016  p87 factor: 452517561431020563705780262154795670678440403065919061321475144777983343483047553956607
  228. Sat Jun 25 04:18:32 2016  p138 factor: 943637697543405219582632111467924078907057158984932138692742662198386064163502200246441411998100003569418599154169898244584780293141023907
  229. Sat Jun 25 04:18:32 2016  elapsed time 16:29:09
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