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C171_142_35

debrouxl May 31st, 2016 76 Never
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  1. Fri Apr  8 16:34:49 2016  
  2. Fri Apr  8 16:34:49 2016  
  3. Fri Apr  8 16:34:49 2016  Msieve v. 1.53 (SVN 984M)
  4. Fri Apr  8 16:34:49 2016  random seeds: 7719b786 8b41ea2b
  5. Fri Apr  8 16:34:49 2016  MPI process 0 of 1
  6. Fri Apr  8 16:34:49 2016  factoring 132969733253052640228386224513225581707630279438320402465924145095784394140253107724279409853935760623184944447479071794346323142302428717754818753999758642803778619334521 (171 digits)
  7. Fri Apr  8 16:34:49 2016  commencing number field sieve (171-digit input)
  8. Fri Apr  8 16:34:49 2016  R0: -1164175380274048
  9. Fri Apr  8 16:34:49 2016  R1: 17135833820132164693504609167575836181640625
  10. Fri Apr  8 16:34:49 2016  A0: 1225
  11. Fri Apr  8 16:34:49 2016  A1: 0
  12. Fri Apr  8 16:34:49 2016  A2: 0
  13. Fri Apr  8 16:34:49 2016  A3: 0
  14. Fri Apr  8 16:34:49 2016  A4: 0
  15. Fri Apr  8 16:34:49 2016  A5: 1
  16. Fri Apr  8 16:34:49 2016  skew 1.00, size 2.847e-15, alpha 1.029, combined = 1.985e-12 rroots = 1
  17. Fri Apr  8 16:34:49 2016  
  18. Fri Apr  8 16:34:49 2016  commencing relation filtering
  19. Fri Apr  8 16:34:49 2016  setting target matrix density to 90.0
  20. Fri Apr  8 16:34:49 2016  estimated available RAM is 16009.0 MB
  21. Fri Apr  8 16:34:49 2016  commencing duplicate removal, pass 1
  22. Fri Apr  8 16:45:18 2016  error -15 reading relation 82163297
  23. Fri Apr  8 16:45:29 2016  error -9 reading relation 83567531
  24. Fri Apr  8 16:47:22 2016  error -5 reading relation 98092832
  25. Fri Apr  8 16:48:04 2016  error -9 reading relation 103506412
  26. Fri Apr  8 16:48:10 2016  error -15 reading relation 104349042
  27. Fri Apr  8 16:48:25 2016  error -9 reading relation 106365130
  28. Fri Apr  8 16:48:26 2016  error -15 reading relation 106424552
  29. Fri Apr  8 16:48:27 2016  error -1 reading relation 106554097
  30. Fri Apr  8 16:49:23 2016  skipped 3 relations with b > 2^32
  31. Fri Apr  8 16:49:23 2016  skipped 1 relations with composite factors
  32. Fri Apr  8 16:49:23 2016  found 16456362 hash collisions in 113937347 relations
  33. Fri Apr  8 16:49:50 2016  added 731650 free relations
  34. Fri Apr  8 16:49:50 2016  commencing duplicate removal, pass 2
  35. Fri Apr  8 16:51:55 2016  found 13822459 duplicates and 100846538 unique relations
  36. Fri Apr  8 16:51:55 2016  memory use: 660.8 MB
  37. Fri Apr  8 16:51:55 2016  reading ideals above 59965440
  38. Fri Apr  8 16:51:55 2016  commencing singleton removal, initial pass
  39. Fri Apr  8 17:02:04 2016  memory use: 2756.0 MB
  40. Fri Apr  8 17:02:04 2016  reading all ideals from disk
  41. Fri Apr  8 17:02:19 2016  memory use: 1763.6 MB
  42. Fri Apr  8 17:02:23 2016  commencing in-memory singleton removal
  43. Fri Apr  8 17:02:26 2016  begin with 100846538 relations and 83583501 unique ideals
  44. Fri Apr  8 17:03:02 2016  reduce to 66041634 relations and 45260587 ideals in 13 passes
  45. Fri Apr  8 17:03:02 2016  max relations containing the same ideal: 59
  46. Fri Apr  8 17:03:06 2016  reading ideals above 720000
  47. Fri Apr  8 17:03:06 2016  commencing singleton removal, initial pass
  48. Fri Apr  8 17:11:38 2016  memory use: 1378.0 MB
  49. Fri Apr  8 17:11:38 2016  reading all ideals from disk
  50. Fri Apr  8 17:11:55 2016  memory use: 2449.2 MB
  51. Fri Apr  8 17:12:01 2016  keeping 52040746 ideals with weight <= 200, target excess is 342618
  52. Fri Apr  8 17:12:07 2016  commencing in-memory singleton removal
  53. Fri Apr  8 17:12:12 2016  begin with 66041636 relations and 52040746 unique ideals
  54. Fri Apr  8 17:12:38 2016  reduce to 66041468 relations and 52040573 ideals in 5 passes
  55. Fri Apr  8 17:12:38 2016  max relations containing the same ideal: 200
  56. Fri Apr  8 17:13:05 2016  removing 8663513 relations and 6663513 ideals in 2000000 cliques
  57. Fri Apr  8 17:13:07 2016  commencing in-memory singleton removal
  58. Fri Apr  8 17:13:11 2016  begin with 57377955 relations and 52040573 unique ideals
  59. Fri Apr  8 17:13:47 2016  reduce to 56479128 relations and 44445154 ideals in 8 passes
  60. Fri Apr  8 17:13:47 2016  max relations containing the same ideal: 191
  61. Fri Apr  8 17:14:11 2016  removing 6859006 relations and 4859006 ideals in 2000000 cliques
  62. Fri Apr  8 17:14:13 2016  commencing in-memory singleton removal
  63. Fri Apr  8 17:14:16 2016  begin with 49620122 relations and 44445154 unique ideals
  64. Fri Apr  8 17:14:43 2016  reduce to 48982298 relations and 38926266 ideals in 7 passes
  65. Fri Apr  8 17:14:43 2016  max relations containing the same ideal: 173
  66. Fri Apr  8 17:15:04 2016  removing 6366190 relations and 4366190 ideals in 2000000 cliques
  67. Fri Apr  8 17:15:06 2016  commencing in-memory singleton removal
  68. Fri Apr  8 17:15:09 2016  begin with 42616108 relations and 38926266 unique ideals
  69. Fri Apr  8 17:15:35 2016  reduce to 42020366 relations and 33942011 ideals in 8 passes
  70. Fri Apr  8 17:15:35 2016  max relations containing the same ideal: 159
  71. Fri Apr  8 17:15:53 2016  removing 6135483 relations and 4135483 ideals in 2000000 cliques
  72. Fri Apr  8 17:15:55 2016  commencing in-memory singleton removal
  73. Fri Apr  8 17:15:57 2016  begin with 35884883 relations and 33942011 unique ideals
  74. Fri Apr  8 17:16:18 2016  reduce to 35275555 relations and 29171506 ideals in 8 passes
  75. Fri Apr  8 17:16:18 2016  max relations containing the same ideal: 140
  76. Fri Apr  8 17:16:34 2016  removing 5998968 relations and 3998968 ideals in 2000000 cliques
  77. Fri Apr  8 17:16:36 2016  commencing in-memory singleton removal
  78. Fri Apr  8 17:16:37 2016  begin with 29276587 relations and 29171506 unique ideals
  79. Fri Apr  8 17:16:54 2016  reduce to 28607898 relations and 24470879 ideals in 8 passes
  80. Fri Apr  8 17:16:54 2016  max relations containing the same ideal: 120
  81. Fri Apr  8 17:17:07 2016  removing 5931368 relations and 3931368 ideals in 2000000 cliques
  82. Fri Apr  8 17:17:09 2016  commencing in-memory singleton removal
  83. Fri Apr  8 17:17:10 2016  begin with 22676530 relations and 24470879 unique ideals
  84. Fri Apr  8 17:17:23 2016  reduce to 21893670 relations and 19708997 ideals in 8 passes
  85. Fri Apr  8 17:17:23 2016  max relations containing the same ideal: 103
  86. Fri Apr  8 17:17:32 2016  removing 5374942 relations and 3587706 ideals in 1787236 cliques
  87. Fri Apr  8 17:17:34 2016  commencing in-memory singleton removal
  88. Fri Apr  8 17:17:35 2016  begin with 16518728 relations and 19708997 unique ideals
  89. Fri Apr  8 17:17:45 2016  reduce to 15670444 relations and 15211477 ideals in 9 passes
  90. Fri Apr  8 17:17:45 2016  max relations containing the same ideal: 78
  91. Fri Apr  8 17:17:51 2016  removing 369788 relations and 308258 ideals in 61530 cliques
  92. Fri Apr  8 17:17:52 2016  commencing in-memory singleton removal
  93. Fri Apr  8 17:17:53 2016  begin with 15300656 relations and 15211477 unique ideals
  94. Fri Apr  8 17:17:59 2016  reduce to 15294478 relations and 14897015 ideals in 6 passes
  95. Fri Apr  8 17:17:59 2016  max relations containing the same ideal: 76
  96. Fri Apr  8 17:18:02 2016  relations with 0 large ideals: 7092
  97. Fri Apr  8 17:18:02 2016  relations with 1 large ideals: 2972
  98. Fri Apr  8 17:18:02 2016  relations with 2 large ideals: 49409
  99. Fri Apr  8 17:18:02 2016  relations with 3 large ideals: 356535
  100. Fri Apr  8 17:18:02 2016  relations with 4 large ideals: 1358768
  101. Fri Apr  8 17:18:02 2016  relations with 5 large ideals: 3036464
  102. Fri Apr  8 17:18:02 2016  relations with 6 large ideals: 4312247
  103. Fri Apr  8 17:18:02 2016  relations with 7+ large ideals: 6170991
  104. Fri Apr  8 17:18:02 2016  commencing 2-way merge
  105. Fri Apr  8 17:18:10 2016  reduce to 9891466 relation sets and 9494003 unique ideals
  106. Fri Apr  8 17:18:10 2016  commencing full merge
  107. Fri Apr  8 17:20:52 2016  memory use: 1248.7 MB
  108. Fri Apr  8 17:20:53 2016  found 4936804 cycles, need 4886203
  109. Fri Apr  8 17:20:54 2016  weight of 4886203 cycles is about 440003511 (90.05/cycle)
  110. Fri Apr  8 17:20:54 2016  distribution of cycle lengths:
  111. Fri Apr  8 17:20:54 2016  1 relations: 316170
  112. Fri Apr  8 17:20:54 2016  2 relations: 424315
  113. Fri Apr  8 17:20:54 2016  3 relations: 470033
  114. Fri Apr  8 17:20:54 2016  4 relations: 477715
  115. Fri Apr  8 17:20:54 2016  5 relations: 474687
  116. Fri Apr  8 17:20:54 2016  6 relations: 447171
  117. Fri Apr  8 17:20:54 2016  7 relations: 413789
  118. Fri Apr  8 17:20:54 2016  8 relations: 365290
  119. Fri Apr  8 17:20:54 2016  9 relations: 314494
  120. Fri Apr  8 17:20:54 2016  10+ relations: 1182539
  121. Fri Apr  8 17:20:54 2016  heaviest cycle: 25 relations
  122. Fri Apr  8 17:20:56 2016  commencing cycle optimization
  123. Fri Apr  8 17:21:02 2016  start with 33385072 relations
  124. Fri Apr  8 17:21:50 2016  pruned 1247889 relations
  125. Fri Apr  8 17:21:50 2016  memory use: 979.7 MB
  126. Fri Apr  8 17:21:50 2016  distribution of cycle lengths:
  127. Fri Apr  8 17:21:50 2016  1 relations: 316170
  128. Fri Apr  8 17:21:50 2016  2 relations: 434586
  129. Fri Apr  8 17:21:50 2016  3 relations: 490096
  130. Fri Apr  8 17:21:50 2016  4 relations: 496171
  131. Fri Apr  8 17:21:50 2016  5 relations: 496223
  132. Fri Apr  8 17:21:50 2016  6 relations: 465503
  133. Fri Apr  8 17:21:50 2016  7 relations: 429148
  134. Fri Apr  8 17:21:50 2016  8 relations: 374392
  135. Fri Apr  8 17:21:50 2016  9 relations: 317513
  136. Fri Apr  8 17:21:50 2016  10+ relations: 1066401
  137. Fri Apr  8 17:21:50 2016  heaviest cycle: 24 relations
  138. Fri Apr  8 17:21:56 2016  RelProcTime: 2827
  139. Fri Apr  8 17:21:56 2016  
  140. Fri Apr  8 17:21:56 2016  commencing linear algebra
  141. Fri Apr  8 17:21:58 2016  initialized process (0,0) of 1 x 1 grid
  142. Fri Apr  8 17:21:59 2016  read 4886203 cycles
  143. Fri Apr  8 17:22:06 2016  cycles contain 15076209 unique relations
  144. Fri Apr  8 17:24:44 2016  read 15076209 relations
  145. Fri Apr  8 17:25:01 2016  using 20 quadratic characters above 4294917295
  146. Fri Apr  8 17:25:58 2016  building initial matrix
  147. Fri Apr  8 17:28:07 2016  memory use: 1868.8 MB
  148. Fri Apr  8 17:28:10 2016  read 4886203 cycles
  149. Fri Apr  8 17:28:11 2016  matrix is 4886024 x 4886203 (1796.8 MB) with weight 518390656 (106.09/col)
  150. Fri Apr  8 17:28:11 2016  sparse part has weight 417279692 (85.40/col)
  151. Fri Apr  8 17:28:53 2016  filtering completed in 2 passes
  152. Fri Apr  8 17:28:54 2016  matrix is 4885587 x 4885766 (1796.8 MB) with weight 518377258 (106.10/col)
  153. Fri Apr  8 17:28:54 2016  sparse part has weight 417275178 (85.41/col)
  154. Fri Apr  8 17:29:21 2016  matrix starts at (0, 0)
  155. Fri Apr  8 17:29:21 2016  matrix is 4885587 x 4885766 (1796.8 MB) with weight 518377258 (106.10/col)
  156. Fri Apr  8 17:29:21 2016  sparse part has weight 417275178 (85.41/col)
  157. Fri Apr  8 17:29:21 2016  saving the first 48 matrix rows for later
  158. Fri Apr  8 17:29:22 2016  matrix includes 64 packed rows
  159. Fri Apr  8 17:29:22 2016  matrix is 4885539 x 4885766 (1712.2 MB) with weight 429923694 (88.00/col)
  160. Fri Apr  8 17:29:22 2016  sparse part has weight 399988818 (81.87/col)
  161. Fri Apr  8 17:29:22 2016  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  162. Fri Apr  8 17:29:37 2016  commencing Lanczos iteration (4 threads)
  163. Fri Apr  8 17:29:37 2016  memory use: 1425.9 MB
  164. Fri Apr  8 17:29:56 2016  linear algebra at 0.0%, ETA 16h 8m
  165. Fri Apr  8 17:30:03 2016  checkpointing every 300000 dimensions
  166. Sat Apr  9 08:15:59 2016  lanczos halted after 77259 iterations (dim = 4885537)
  167. Sat Apr  9 08:16:03 2016  recovered 37 nontrivial dependencies
  168. Sat Apr  9 08:16:03 2016  BLanczosTime: 53647
  169. Sat Apr  9 08:16:03 2016  
  170. Sat Apr  9 08:16:03 2016  commencing square root phase
  171. Sat Apr  9 08:16:04 2016  handling dependencies 1 to 64
  172. Sat Apr  9 08:16:04 2016  reading relations for dependency 1
  173. Sat Apr  9 08:16:05 2016  read 2443196 cycles
  174. Sat Apr  9 08:16:08 2016  cycles contain 7538752 unique relations
  175. Sat Apr  9 08:18:14 2016  read 7538752 relations
  176. Sat Apr  9 08:18:43 2016  multiplying 7538752 relations
  177. Sat Apr  9 08:21:48 2016  multiply complete, coefficients have about 193.02 million bits
  178. Sat Apr  9 08:21:48 2016  initial square root is modulo 8455091
  179. Sat Apr  9 08:25:42 2016  sqrtTime: 579
  180. Sat Apr  9 08:25:42 2016  p89 factor: 11739546567559064250651915743676557891409444337785903694287862243837037617568535730366483
  181. Sat Apr  9 08:25:42 2016  elapsed time 15:50:53
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