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CarlosPinho

61111_221

CarlosPinho
May 27th, 2016
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  1. Mon Sep 21 08:54:08 2015
  2. Mon Sep 21 08:54:08 2015
  3. Mon Sep 21 08:54:08 2015 Msieve v. 1.53 (SVN unknown)
  4. Mon Sep 21 08:54:08 2015 random seeds: a1bb3090 d657030c
  5. Mon Sep 21 08:54:08 2015 factoring 611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (222 digits)
  6. Mon Sep 21 08:54:09 2015 no P-1/P+1/ECM available, skipping
  7. Mon Sep 21 08:54:09 2015 commencing number field sieve (222-digit input)
  8. Mon Sep 21 08:54:09 2015 R0: -10000000000000000000000000000000000000
  9. Mon Sep 21 08:54:09 2015 R1: 1
  10. Mon Sep 21 08:54:09 2015 A0: -2
  11. Mon Sep 21 08:54:09 2015 A1: 0
  12. Mon Sep 21 08:54:09 2015 A2: 0
  13. Mon Sep 21 08:54:09 2015 A3: 0
  14. Mon Sep 21 08:54:09 2015 A4: 0
  15. Mon Sep 21 08:54:09 2015 A5: 0
  16. Mon Sep 21 08:54:09 2015 A6: 11
  17. Mon Sep 21 08:54:09 2015 skew 1.00, size 5.701e-011, alpha 0.854, combined = 2.238e-012 rroots = 2
  18. Mon Sep 21 08:54:09 2015
  19. Mon Sep 21 08:54:09 2015 commencing relation filtering
  20. Mon Sep 21 08:54:09 2015 estimated available RAM is 16253.6 MB
  21. Mon Sep 21 08:54:09 2015 commencing duplicate removal, pass 1
  22. Mon Sep 21 08:57:02 2015 error -1 reading relation 14185768
  23. Mon Sep 21 09:03:43 2015 error -15 reading relation 48708912
  24. Mon Sep 21 09:04:45 2015 skipped 2 relations with b > 2^32
  25. Mon Sep 21 09:04:45 2015 skipped 6 relations with composite factors
  26. Mon Sep 21 09:04:45 2015 found 10142320 hash collisions in 54393296 relations
  27. Mon Sep 21 09:05:10 2015 added 1219083 free relations
  28. Mon Sep 21 09:05:10 2015 commencing duplicate removal, pass 2
  29. Mon Sep 21 09:05:31 2015 found 9790299 duplicates and 45822080 unique relations
  30. Mon Sep 21 09:05:31 2015 memory use: 330.4 MB
  31. Mon Sep 21 09:05:31 2015 reading ideals above 720000
  32. Mon Sep 21 09:05:31 2015 commencing singleton removal, initial pass
  33. Mon Sep 21 09:12:47 2015 memory use: 1378.0 MB
  34. Mon Sep 21 09:12:47 2015 reading all ideals from disk
  35. Mon Sep 21 09:12:48 2015 memory use: 1666.6 MB
  36. Mon Sep 21 09:12:52 2015 keeping 46227426 ideals with weight <= 200, target excess is 240247
  37. Mon Sep 21 09:12:56 2015 commencing in-memory singleton removal
  38. Mon Sep 21 09:12:59 2015 begin with 45822080 relations and 46227426 unique ideals
  39. Mon Sep 21 09:13:37 2015 reduce to 25759711 relations and 23708151 ideals in 18 passes
  40. Mon Sep 21 09:13:37 2015 max relations containing the same ideal: 143
  41. Mon Sep 21 09:13:47 2015 removing 2881181 relations and 2481181 ideals in 400000 cliques
  42. Mon Sep 21 09:13:48 2015 commencing in-memory singleton removal
  43. Mon Sep 21 09:13:50 2015 begin with 22878530 relations and 23708151 unique ideals
  44. Mon Sep 21 09:14:04 2015 reduce to 22578355 relations and 20920099 ideals in 9 passes
  45. Mon Sep 21 09:14:04 2015 max relations containing the same ideal: 132
  46. Mon Sep 21 09:14:13 2015 removing 2176594 relations and 1776594 ideals in 400000 cliques
  47. Mon Sep 21 09:14:14 2015 commencing in-memory singleton removal
  48. Mon Sep 21 09:14:15 2015 begin with 20401761 relations and 20920099 unique ideals
  49. Mon Sep 21 09:14:27 2015 reduce to 20223232 relations and 18961511 ideals in 8 passes
  50. Mon Sep 21 09:14:27 2015 max relations containing the same ideal: 121
  51. Mon Sep 21 09:14:35 2015 removing 1952772 relations and 1552772 ideals in 400000 cliques
  52. Mon Sep 21 09:14:35 2015 commencing in-memory singleton removal
  53. Mon Sep 21 09:14:37 2015 begin with 18270460 relations and 18961511 unique ideals
  54. Mon Sep 21 09:14:47 2015 reduce to 18116105 relations and 17251433 ideals in 8 passes
  55. Mon Sep 21 09:14:47 2015 max relations containing the same ideal: 113
  56. Mon Sep 21 09:14:54 2015 removing 1839774 relations and 1439774 ideals in 400000 cliques
  57. Mon Sep 21 09:14:54 2015 commencing in-memory singleton removal
  58. Mon Sep 21 09:14:55 2015 begin with 16276331 relations and 17251433 unique ideals
  59. Mon Sep 21 09:15:04 2015 reduce to 16127690 relations and 15660067 ideals in 8 passes
  60. Mon Sep 21 09:15:04 2015 max relations containing the same ideal: 103
  61. Mon Sep 21 09:15:10 2015 removing 971996 relations and 783060 ideals in 188936 cliques
  62. Mon Sep 21 09:15:11 2015 commencing in-memory singleton removal
  63. Mon Sep 21 09:15:12 2015 begin with 15155694 relations and 15660067 unique ideals
  64. Mon Sep 21 09:15:21 2015 reduce to 15112970 relations and 14833879 ideals in 9 passes
  65. Mon Sep 21 09:15:21 2015 max relations containing the same ideal: 99
  66. Mon Sep 21 09:15:29 2015 relations with 0 large ideals: 8858
  67. Mon Sep 21 09:15:29 2015 relations with 1 large ideals: 2582
  68. Mon Sep 21 09:15:29 2015 relations with 2 large ideals: 25876
  69. Mon Sep 21 09:15:29 2015 relations with 3 large ideals: 206237
  70. Mon Sep 21 09:15:29 2015 relations with 4 large ideals: 898134
  71. Mon Sep 21 09:15:29 2015 relations with 5 large ideals: 2345889
  72. Mon Sep 21 09:15:29 2015 relations with 6 large ideals: 3814588
  73. Mon Sep 21 09:15:29 2015 relations with 7+ large ideals: 7810806
  74. Mon Sep 21 09:15:29 2015 commencing 2-way merge
  75. Mon Sep 21 09:15:38 2015 reduce to 9700976 relation sets and 9421885 unique ideals
  76. Mon Sep 21 09:15:38 2015 commencing full merge
  77. Mon Sep 21 09:17:52 2015 memory use: 1193.0 MB
  78. Mon Sep 21 09:17:53 2015 found 5162116 cycles, need 5124085
  79. Mon Sep 21 09:17:53 2015 weight of 5124085 cycles is about 358945344 (70.05/cycle)
  80. Mon Sep 21 09:17:53 2015 distribution of cycle lengths:
  81. Mon Sep 21 09:17:53 2015 1 relations: 668676
  82. Mon Sep 21 09:17:53 2015 2 relations: 644187
  83. Mon Sep 21 09:17:53 2015 3 relations: 619334
  84. Mon Sep 21 09:17:53 2015 4 relations: 553938
  85. Mon Sep 21 09:17:53 2015 5 relations: 497229
  86. Mon Sep 21 09:17:53 2015 6 relations: 428880
  87. Mon Sep 21 09:17:53 2015 7 relations: 371479
  88. Mon Sep 21 09:17:53 2015 8 relations: 314723
  89. Mon Sep 21 09:17:53 2015 9 relations: 261957
  90. Mon Sep 21 09:17:53 2015 10+ relations: 763682
  91. Mon Sep 21 09:17:53 2015 heaviest cycle: 21 relations
  92. Mon Sep 21 09:17:55 2015 commencing cycle optimization
  93. Mon Sep 21 09:18:00 2015 start with 27789654 relations
  94. Mon Sep 21 09:18:37 2015 pruned 691726 relations
  95. Mon Sep 21 09:18:37 2015 memory use: 905.7 MB
  96. Mon Sep 21 09:18:37 2015 distribution of cycle lengths:
  97. Mon Sep 21 09:18:37 2015 1 relations: 668676
  98. Mon Sep 21 09:18:37 2015 2 relations: 657205
  99. Mon Sep 21 09:18:37 2015 3 relations: 640779
  100. Mon Sep 21 09:18:37 2015 4 relations: 566861
  101. Mon Sep 21 09:18:37 2015 5 relations: 509362
  102. Mon Sep 21 09:18:37 2015 6 relations: 435296
  103. Mon Sep 21 09:18:37 2015 7 relations: 376112
  104. Mon Sep 21 09:18:37 2015 8 relations: 314834
  105. Mon Sep 21 09:18:37 2015 9 relations: 259111
  106. Mon Sep 21 09:18:37 2015 10+ relations: 695849
  107. Mon Sep 21 09:18:37 2015 heaviest cycle: 20 relations
  108. Mon Sep 21 09:18:42 2015 RelProcTime: 1473
  109. Mon Sep 21 09:18:42 2015
  110. Mon Sep 21 09:18:42 2015 commencing linear algebra
  111. Mon Sep 21 09:18:43 2015 read 5124085 cycles
  112. Mon Sep 21 09:18:49 2015 cycles contain 14924837 unique relations
  113. Mon Sep 21 09:20:45 2015 read 14924837 relations
  114. Mon Sep 21 09:21:02 2015 using 20 quadratic characters above 536870820
  115. Mon Sep 21 09:22:04 2015 building initial matrix
  116. Mon Sep 21 09:24:02 2015 memory use: 1956.5 MB
  117. Mon Sep 21 09:24:05 2015 read 5124085 cycles
  118. Mon Sep 21 09:24:06 2015 matrix is 5123908 x 5124085 (1516.9 MB) with weight 448330746 (87.49/col)
  119. Mon Sep 21 09:24:06 2015 sparse part has weight 346400931 (67.60/col)
  120. Mon Sep 21 09:24:42 2015 filtering completed in 2 passes
  121. Mon Sep 21 09:24:44 2015 matrix is 5122362 x 5122539 (1516.8 MB) with weight 448288181 (87.51/col)
  122. Mon Sep 21 09:24:44 2015 sparse part has weight 346389275 (67.62/col)
  123. Mon Sep 21 09:24:53 2015 matrix starts at (0, 0)
  124. Mon Sep 21 09:24:54 2015 matrix is 5122362 x 5122539 (1516.8 MB) with weight 448288181 (87.51/col)
  125. Mon Sep 21 09:24:54 2015 sparse part has weight 346389275 (67.62/col)
  126. Mon Sep 21 09:24:54 2015 saving the first 48 matrix rows for later
  127. Mon Sep 21 09:24:56 2015 matrix includes 64 packed rows
  128. Mon Sep 21 09:24:57 2015 matrix is 5122314 x 5122539 (1458.5 MB) with weight 355634712 (69.43/col)
  129. Mon Sep 21 09:24:57 2015 sparse part has weight 331121610 (64.64/col)
  130. Mon Sep 21 09:24:57 2015 using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  131. Mon Sep 21 09:25:12 2015 commencing Lanczos iteration (8 threads)
  132. Mon Sep 21 09:25:12 2015 memory use: 1200.8 MB
  133. Mon Sep 21 09:25:20 2015 linear algebra at 0.0%, ETA 6h33m
  134. Mon Sep 21 09:25:22 2015 checkpointing every 820000 dimensions
  135. Mon Sep 21 16:52:14 2015 lanczos halted after 81011 iterations (dim = 5122313)
  136. Mon Sep 21 16:52:19 2015 recovered 33 nontrivial dependencies
  137. Mon Sep 21 16:52:19 2015 BLanczosTime: 27217
  138. Mon Sep 21 16:52:19 2015
  139. Mon Sep 21 16:52:19 2015 commencing square root phase
  140. Mon Sep 21 16:52:19 2015 reading relations for dependency 1
  141. Mon Sep 21 16:52:20 2015 read 2560601 cycles
  142. Mon Sep 21 16:52:24 2015 cycles contain 7457918 unique relations
  143. Mon Sep 21 16:53:24 2015 read 7457918 relations
  144. Mon Sep 21 16:53:58 2015 multiplying 7457918 relations
  145. Mon Sep 21 16:58:15 2015 multiply complete, coefficients have about 203.37 million bits
  146. Mon Sep 21 16:58:16 2015 initial square root is modulo 19873327
  147. Mon Sep 21 17:03:41 2015 sqrtTime: 682
  148. Mon Sep 21 17:03:41 2015 prp59 factor: 56834768105374569061894280356037398153466456750440015391413
  149. Mon Sep 21 17:03:41 2015 prp164 factor: 10752416724531713270821779427578108941853213228494462623958464766643183686375509639105683886986023166460262232519994208176262573365832154565124218203180169462311947
  150. Mon Sep 21 17:03:41 2015 elapsed time 08:09:33
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