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P50_990953_m1

CarlosPinho Jun 10th, 2016 38 Never
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  1. Wed Jun 08 19:26:57 2016  
  2. Wed Jun 08 19:26:57 2016  
  3. Wed Jun 08 19:26:57 2016  Msieve v. 1.52 (SVN unknown)
  4. Wed Jun 08 19:26:57 2016  random seeds: ac49b208 e0d0a831
  5. Wed Jun 08 19:26:57 2016  factoring 96430253549536256818810583663018047376131820058812968449077756145891446347597402231580151232261440588887649020409748948124217326550997790927975245773278904653011374161206250739447682611568476705300701 (200 digits)
  6. Wed Jun 08 19:26:58 2016  no P-1/P+1/ECM available, skipping
  7. Wed Jun 08 19:26:58 2016  commencing number field sieve (200-digit input)
  8. Wed Jun 08 19:26:58 2016  R0: 99095361695961099223925080051226097068789794489357
  9. Wed Jun 08 19:26:58 2016  R1: -1
  10. Wed Jun 08 19:26:58 2016  A0: 1
  11. Wed Jun 08 19:26:58 2016  A1: 1
  12. Wed Jun 08 19:26:58 2016  A2: 1
  13. Wed Jun 08 19:26:58 2016  A3: 1
  14. Wed Jun 08 19:26:58 2016  A4: 1
  15. Wed Jun 08 19:26:58 2016  skew 1.00, size 2.054e-020, alpha 1.694, combined = 3.187e-012 rroots = 0
  16. Wed Jun 08 19:26:58 2016  
  17. Wed Jun 08 19:26:58 2016  commencing relation filtering
  18. Wed Jun 08 19:26:58 2016  setting target matrix density to 104.0
  19. Wed Jun 08 19:26:58 2016  estimated available RAM is 12241.4 MB
  20. Wed Jun 08 19:26:58 2016  commencing duplicate removal, pass 1
  21. Wed Jun 08 19:34:22 2016  skipped 25 relations with b > 2^32
  22. Wed Jun 08 19:34:22 2016  found 1895044 hash collisions in 46382558 relations
  23. Wed Jun 08 19:34:37 2016  added 3654030 free relations
  24. Wed Jun 08 19:34:37 2016  commencing duplicate removal, pass 2
  25. Wed Jun 08 19:34:52 2016  found 0 duplicates and 50036588 unique relations
  26. Wed Jun 08 19:34:52 2016  memory use: 130.6 MB
  27. Wed Jun 08 19:34:52 2016  reading ideals above 720000
  28. Wed Jun 08 19:34:53 2016  commencing singleton removal, initial pass
  29. Wed Jun 08 19:44:28 2016  memory use: 1378.0 MB
  30. Wed Jun 08 19:44:28 2016  reading all ideals from disk
  31. Wed Jun 08 19:44:29 2016  memory use: 1766.3 MB
  32. Wed Jun 08 19:44:33 2016  keeping 46785261 ideals with weight <= 200, target excess is 258079
  33. Wed Jun 08 19:44:37 2016  commencing in-memory singleton removal
  34. Wed Jun 08 19:44:40 2016  begin with 50036588 relations and 46785261 unique ideals
  35. Wed Jun 08 19:45:23 2016  reduce to 31741321 relations and 26319040 ideals in 17 passes
  36. Wed Jun 08 19:45:23 2016  max relations containing the same ideal: 156
  37. Wed Jun 08 19:45:36 2016  removing 4812132 relations and 3812132 ideals in 1000000 cliques
  38. Wed Jun 08 19:45:37 2016  commencing in-memory singleton removal
  39. Wed Jun 08 19:45:38 2016  begin with 26929189 relations and 26319040 unique ideals
  40. Wed Jun 08 19:45:58 2016  reduce to 26251489 relations and 21800608 ideals in 10 passes
  41. Wed Jun 08 19:45:58 2016  max relations containing the same ideal: 139
  42. Wed Jun 08 19:46:08 2016  removing 3716082 relations and 2716082 ideals in 1000000 cliques
  43. Wed Jun 08 19:46:09 2016  commencing in-memory singleton removal
  44. Wed Jun 08 19:46:10 2016  begin with 22535407 relations and 21800608 unique ideals
  45. Wed Jun 08 19:46:23 2016  reduce to 22091243 relations and 18622462 ideals in 8 passes
  46. Wed Jun 08 19:46:23 2016  max relations containing the same ideal: 124
  47. Wed Jun 08 19:46:32 2016  removing 3401627 relations and 2401627 ideals in 1000000 cliques
  48. Wed Jun 08 19:46:32 2016  commencing in-memory singleton removal
  49. Wed Jun 08 19:46:34 2016  begin with 18689616 relations and 18622462 unique ideals
  50. Wed Jun 08 19:46:44 2016  reduce to 18283139 relations and 15796474 ideals in 8 passes
  51. Wed Jun 08 19:46:44 2016  max relations containing the same ideal: 112
  52. Wed Jun 08 19:46:51 2016  removing 3253573 relations and 2253573 ideals in 1000000 cliques
  53. Wed Jun 08 19:46:52 2016  commencing in-memory singleton removal
  54. Wed Jun 08 19:46:53 2016  begin with 15029566 relations and 15796474 unique ideals
  55. Wed Jun 08 19:47:01 2016  reduce to 14607561 relations and 13099435 ideals in 8 passes
  56. Wed Jun 08 19:47:01 2016  max relations containing the same ideal: 95
  57. Wed Jun 08 19:47:07 2016  removing 3161163 relations and 2161163 ideals in 1000000 cliques
  58. Wed Jun 08 19:47:08 2016  commencing in-memory singleton removal
  59. Wed Jun 08 19:47:08 2016  begin with 11446398 relations and 13099435 unique ideals
  60. Wed Jun 08 19:47:14 2016  reduce to 10976392 relations and 10438306 ideals in 8 passes
  61. Wed Jun 08 19:47:14 2016  max relations containing the same ideal: 79
  62. Wed Jun 08 19:47:19 2016  removing 1017808 relations and 779094 ideals in 238714 cliques
  63. Wed Jun 08 19:47:19 2016  commencing in-memory singleton removal
  64. Wed Jun 08 19:47:20 2016  begin with 9958584 relations and 10438306 unique ideals
  65. Wed Jun 08 19:47:23 2016  reduce to 9892330 relations and 9591645 ideals in 6 passes
  66. Wed Jun 08 19:47:23 2016  max relations containing the same ideal: 75
  67. Wed Jun 08 19:47:29 2016  relations with 0 large ideals: 19432
  68. Wed Jun 08 19:47:29 2016  relations with 1 large ideals: 3252
  69. Wed Jun 08 19:47:29 2016  relations with 2 large ideals: 38295
  70. Wed Jun 08 19:47:29 2016  relations with 3 large ideals: 260264
  71. Wed Jun 08 19:47:29 2016  relations with 4 large ideals: 964071
  72. Wed Jun 08 19:47:29 2016  relations with 5 large ideals: 2429309
  73. Wed Jun 08 19:47:29 2016  relations with 6 large ideals: 2609603
  74. Wed Jun 08 19:47:29 2016  relations with 7+ large ideals: 3568104
  75. Wed Jun 08 19:47:29 2016  commencing 2-way merge
  76. Wed Jun 08 19:47:34 2016  reduce to 6514619 relation sets and 6213934 unique ideals
  77. Wed Jun 08 19:47:34 2016  commencing full merge
  78. Wed Jun 08 19:49:50 2016  memory use: 811.3 MB
  79. Wed Jun 08 19:49:51 2016  found 3018470 cycles, need 2998134
  80. Wed Jun 08 19:49:51 2016  weight of 2998134 cycles is about 311917684 (104.04/cycle)
  81. Wed Jun 08 19:49:51 2016  distribution of cycle lengths:
  82. Wed Jun 08 19:49:51 2016  1 relations: 134737
  83. Wed Jun 08 19:49:51 2016  2 relations: 180108
  84. Wed Jun 08 19:49:51 2016  3 relations: 213935
  85. Wed Jun 08 19:49:51 2016  4 relations: 224798
  86. Wed Jun 08 19:49:51 2016  5 relations: 228870
  87. Wed Jun 08 19:49:51 2016  6 relations: 225454
  88. Wed Jun 08 19:49:51 2016  7 relations: 219485
  89. Wed Jun 08 19:49:51 2016  8 relations: 207995
  90. Wed Jun 08 19:49:51 2016  9 relations: 194292
  91. Wed Jun 08 19:49:51 2016  10+ relations: 1168460
  92. Wed Jun 08 19:49:51 2016  heaviest cycle: 28 relations
  93. Wed Jun 08 19:49:52 2016  commencing cycle optimization
  94. Wed Jun 08 19:49:56 2016  start with 26157996 relations
  95. Wed Jun 08 19:51:00 2016  pruned 1208818 relations
  96. Wed Jun 08 19:51:00 2016  memory use: 679.7 MB
  97. Wed Jun 08 19:51:00 2016  distribution of cycle lengths:
  98. Wed Jun 08 19:51:00 2016  1 relations: 134737
  99. Wed Jun 08 19:51:00 2016  2 relations: 183939
  100. Wed Jun 08 19:51:00 2016  3 relations: 222872
  101. Wed Jun 08 19:51:00 2016  4 relations: 234277
  102. Wed Jun 08 19:51:00 2016  5 relations: 240884
  103. Wed Jun 08 19:51:00 2016  6 relations: 236748
  104. Wed Jun 08 19:51:00 2016  7 relations: 231435
  105. Wed Jun 08 19:51:00 2016  8 relations: 218659
  106. Wed Jun 08 19:51:00 2016  9 relations: 202845
  107. Wed Jun 08 19:51:00 2016  10+ relations: 1091738
  108. Wed Jun 08 19:51:00 2016  heaviest cycle: 28 relations
  109. Wed Jun 08 19:51:03 2016  RelProcTime: 1445
  110. Wed Jun 08 19:51:03 2016  
  111. Wed Jun 08 19:51:03 2016  commencing linear algebra
  112. Wed Jun 08 19:51:03 2016  read 2998134 cycles
  113. Wed Jun 08 19:51:09 2016  cycles contain 9720740 unique relations
  114. Wed Jun 08 19:52:51 2016  read 9720740 relations
  115. Wed Jun 08 19:53:05 2016  using 20 quadratic characters above 536870792
  116. Wed Jun 08 19:53:46 2016  building initial matrix
  117. Wed Jun 08 19:55:29 2016  memory use: 1208.6 MB
  118. Wed Jun 08 19:55:31 2016  read 2998134 cycles
  119. Wed Jun 08 19:55:32 2016  matrix is 2997957 x 2998134 (1245.5 MB) with weight 358834520 (119.69/col)
  120. Wed Jun 08 19:55:32 2016  sparse part has weight 293513473 (97.90/col)
  121. Wed Jun 08 19:56:03 2016  filtering completed in 2 passes
  122. Wed Jun 08 19:56:04 2016  matrix is 2997832 x 2998009 (1245.5 MB) with weight 358830082 (119.69/col)
  123. Wed Jun 08 19:56:04 2016  sparse part has weight 293511845 (97.90/col)
  124. Wed Jun 08 19:56:10 2016  matrix starts at (0, 0)
  125. Wed Jun 08 19:56:11 2016  matrix is 2997832 x 2998009 (1245.5 MB) with weight 358830082 (119.69/col)
  126. Wed Jun 08 19:56:11 2016  sparse part has weight 293511845 (97.90/col)
  127. Wed Jun 08 19:56:11 2016  saving the first 48 matrix rows for later
  128. Wed Jun 08 19:56:12 2016  matrix includes 64 packed rows
  129. Wed Jun 08 19:56:13 2016  matrix is 2997784 x 2998009 (1189.4 MB) with weight 303980056 (101.39/col)
  130. Wed Jun 08 19:56:13 2016  sparse part has weight 281816371 (94.00/col)
  131. Wed Jun 08 19:56:13 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  132. Wed Jun 08 19:56:27 2016  commencing Lanczos iteration (4 threads)
  133. Wed Jun 08 19:56:27 2016  memory use: 990.7 MB
  134. Wed Jun 08 19:56:38 2016  linear algebra at 0.1%, ETA 5h59m
  135. Wed Jun 08 19:56:41 2016  checkpointing every 530000 dimensions
  136. Thu Jun 09 01:35:20 2016  lanczos halted after 47412 iterations (dim = 2997784)
  137. Thu Jun 09 01:35:23 2016  recovered 37 nontrivial dependencies
  138. Thu Jun 09 01:35:24 2016  BLanczosTime: 20661
  139. Thu Jun 09 01:35:24 2016  
  140. Thu Jun 09 01:35:24 2016  commencing square root phase
  141. Thu Jun 09 01:35:24 2016  handling dependencies 1 to 64
  142. Thu Jun 09 01:35:24 2016  reading relations for dependency 1
  143. Thu Jun 09 01:35:25 2016  read 1498424 cycles
  144. Thu Jun 09 01:35:28 2016  cycles contain 4859100 unique relations
  145. Thu Jun 09 01:36:22 2016  read 4859100 relations
  146. Thu Jun 09 01:36:47 2016  multiplying 4859100 relations
  147. Thu Jun 09 01:38:17 2016  multiply complete, coefficients have about 119.06 million bits
  148. Thu Jun 09 01:38:18 2016  initial square root is modulo 351597497
  149. Thu Jun 09 01:40:30 2016  sqrtTime: 306
  150. Thu Jun 09 01:40:30 2016  prp58 factor: 3347049577513319792689581753825975173221206304389961971641
  151. Thu Jun 09 01:40:30 2016  prp143 factor: 28810524408538584489016495526757347000228420697362670144587820798507647540033754819702187590323635366326365655157653030851960724482374324206661
  152. Thu Jun 09 01:40:30 2016  elapsed time 06:13:33
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