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C158_79_97 postprocessing log

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Oct 13th, 2021
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  1. Tue Oct 12 20:06:19 2021
  2. Tue Oct 12 20:06:19 2021
  3. Tue Oct 12 20:06:19 2021 Msieve v. 1.54 (SVN 1043M)
  4. Tue Oct 12 20:06:19 2021 random seeds: 0270edd9 29ba99a1
  5. Tue Oct 12 20:06:19 2021 factoring 73930024680626082304622467174911998467953727027035666681786157388215213963763514630312920486560128063113363030840349866347702683475844338598009785125145985099 (158 digits)
  6. Tue Oct 12 20:06:19 2021 searching for 15-digit factors
  7. Tue Oct 12 20:06:20 2021 commencing number field sieve (158-digit input)
  8. Tue Oct 12 20:06:20 2021 R0: -4552665798306324068146929544644
  9. Tue Oct 12 20:06:20 2021 R1: 70168449571240553
  10. Tue Oct 12 20:06:20 2021 A0: -141912730643645328396707533107303657965
  11. Tue Oct 12 20:06:20 2021 A1: -422258378769595612316099440343156
  12. Tue Oct 12 20:06:20 2021 A2: -231806594557316056481802433
  13. Tue Oct 12 20:06:20 2021 A3: 14971586264888202314
  14. Tue Oct 12 20:06:20 2021 A4: 1113679399740
  15. Tue Oct 12 20:06:20 2021 A5: 37800
  16. Tue Oct 12 20:06:20 2021 skew 8652632.34, size 2.108e-15, alpha -7.399, combined = 1.739e-12 rroots = 3
  17. Tue Oct 12 20:06:20 2021
  18. Tue Oct 12 20:06:20 2021 commencing relation filtering
  19. Tue Oct 12 20:06:20 2021 setting target matrix density to 110.0
  20. Tue Oct 12 20:06:20 2021 estimated available RAM is 31368.2 MB
  21. Tue Oct 12 20:06:20 2021 commencing duplicate removal, pass 1
  22. Tue Oct 12 20:13:59 2021 skipped 23 relations with composite factors
  23. Tue Oct 12 20:13:59 2021 found 12180739 hash collisions in 56136236 relations
  24. Tue Oct 12 20:14:27 2021 commencing duplicate removal, pass 2
  25. Tue Oct 12 20:14:50 2021 found 12533417 duplicates and 43602819 unique relations
  26. Tue Oct 12 20:14:50 2021 memory use: 330.4 MB
  27. Tue Oct 12 20:14:50 2021 reading ideals above 720000
  28. Tue Oct 12 20:14:50 2021 commencing singleton removal, initial pass
  29. Tue Oct 12 20:20:19 2021 memory use: 1378.0 MB
  30. Tue Oct 12 20:20:26 2021 reading all ideals from disk
  31. Tue Oct 12 20:20:26 2021 memory use: 1581.2 MB
  32. Tue Oct 12 20:20:30 2021 keeping 45175837 ideals with weight <= 200, target excess is 238509
  33. Tue Oct 12 20:20:34 2021 commencing in-memory singleton removal
  34. Tue Oct 12 20:20:38 2021 begin with 43602819 relations and 45175837 unique ideals
  35. Tue Oct 12 20:21:19 2021 reduce to 22792100 relations and 21685619 ideals in 17 passes
  36. Tue Oct 12 20:21:19 2021 max relations containing the same ideal: 137
  37. Tue Oct 12 20:21:31 2021 removing 2922823 relations and 2522823 ideals in 400000 cliques
  38. Tue Oct 12 20:21:32 2021 commencing in-memory singleton removal
  39. Tue Oct 12 20:21:34 2021 begin with 19869277 relations and 21685619 unique ideals
  40. Tue Oct 12 20:21:50 2021 reduce to 19577620 relations and 18864620 ideals in 10 passes
  41. Tue Oct 12 20:21:50 2021 max relations containing the same ideal: 121
  42. Tue Oct 12 20:21:59 2021 removing 2209365 relations and 1809365 ideals in 400000 cliques
  43. Tue Oct 12 20:22:00 2021 commencing in-memory singleton removal
  44. Tue Oct 12 20:22:01 2021 begin with 17368255 relations and 18864620 unique ideals
  45. Tue Oct 12 20:22:14 2021 reduce to 17173065 relations and 16856018 ideals in 10 passes
  46. Tue Oct 12 20:22:14 2021 max relations containing the same ideal: 111
  47. Tue Oct 12 20:22:22 2021 removing 314798 relations and 274422 ideals in 40376 cliques
  48. Tue Oct 12 20:22:23 2021 commencing in-memory singleton removal
  49. Tue Oct 12 20:22:24 2021 begin with 16858267 relations and 16856018 unique ideals
  50. Tue Oct 12 20:22:31 2021 reduce to 16854394 relations and 16577709 ideals in 6 passes
  51. Tue Oct 12 20:22:31 2021 max relations containing the same ideal: 110
  52. Tue Oct 12 20:22:35 2021 relations with 0 large ideals: 789
  53. Tue Oct 12 20:22:35 2021 relations with 1 large ideals: 1810
  54. Tue Oct 12 20:22:35 2021 relations with 2 large ideals: 28024
  55. Tue Oct 12 20:22:35 2021 relations with 3 large ideals: 226302
  56. Tue Oct 12 20:22:35 2021 relations with 4 large ideals: 1005542
  57. Tue Oct 12 20:22:35 2021 relations with 5 large ideals: 2657827
  58. Tue Oct 12 20:22:35 2021 relations with 6 large ideals: 4375059
  59. Tue Oct 12 20:22:35 2021 relations with 7+ large ideals: 8559041
  60. Tue Oct 12 20:22:35 2021 commencing 2-way merge
  61. Tue Oct 12 20:22:47 2021 reduce to 10588889 relation sets and 10312204 unique ideals
  62. Tue Oct 12 20:22:47 2021 commencing full merge
  63. Tue Oct 12 20:26:37 2021 memory use: 1275.2 MB
  64. Tue Oct 12 20:26:38 2021 found 4775271 cycles, need 4770404
  65. Tue Oct 12 20:26:40 2021 weight of 4770404 cycles is about 525237245 (110.10/cycle)
  66. Tue Oct 12 20:26:40 2021 distribution of cycle lengths:
  67. Tue Oct 12 20:26:40 2021 1 relations: 314596
  68. Tue Oct 12 20:26:40 2021 2 relations: 389312
  69. Tue Oct 12 20:26:40 2021 3 relations: 422393
  70. Tue Oct 12 20:26:40 2021 4 relations: 402359
  71. Tue Oct 12 20:26:40 2021 5 relations: 381494
  72. Tue Oct 12 20:26:40 2021 6 relations: 354321
  73. Tue Oct 12 20:26:40 2021 7 relations: 320187
  74. Tue Oct 12 20:26:40 2021 8 relations: 292422
  75. Tue Oct 12 20:26:40 2021 9 relations: 262413
  76. Tue Oct 12 20:26:40 2021 10+ relations: 1630907
  77. Tue Oct 12 20:26:40 2021 heaviest cycle: 28 relations
  78. Tue Oct 12 20:26:41 2021 commencing cycle optimization
  79. Tue Oct 12 20:26:50 2021 start with 38975870 relations
  80. Tue Oct 12 20:28:11 2021 pruned 1473333 relations
  81. Tue Oct 12 20:28:11 2021 memory use: 1095.1 MB
  82. Tue Oct 12 20:28:11 2021 distribution of cycle lengths:
  83. Tue Oct 12 20:28:11 2021 1 relations: 314596
  84. Tue Oct 12 20:28:11 2021 2 relations: 400453
  85. Tue Oct 12 20:28:11 2021 3 relations: 441317
  86. Tue Oct 12 20:28:11 2021 4 relations: 417964
  87. Tue Oct 12 20:28:11 2021 5 relations: 397344
  88. Tue Oct 12 20:28:11 2021 6 relations: 364907
  89. Tue Oct 12 20:28:11 2021 7 relations: 330240
  90. Tue Oct 12 20:28:11 2021 8 relations: 298458
  91. Tue Oct 12 20:28:11 2021 9 relations: 266365
  92. Tue Oct 12 20:28:11 2021 10+ relations: 1538760
  93. Tue Oct 12 20:28:11 2021 heaviest cycle: 28 relations
  94. Tue Oct 12 20:28:21 2021 RelProcTime: 1321
  95. Tue Oct 12 20:28:21 2021
  96. Tue Oct 12 20:28:21 2021 commencing linear algebra
  97. Tue Oct 12 20:28:22 2021 read 4770404 cycles
  98. Tue Oct 12 20:28:32 2021 cycles contain 16652915 unique relations
  99. Tue Oct 12 20:29:55 2021 read 16652915 relations
  100. Tue Oct 12 20:30:21 2021 using 20 quadratic characters above 4294917295
  101. Tue Oct 12 20:31:47 2021 building initial matrix
  102. Tue Oct 12 20:35:26 2021 memory use: 2210.3 MB
  103. Tue Oct 12 20:35:29 2021 read 4770404 cycles
  104. Tue Oct 12 20:35:29 2021 matrix is 4770225 x 4770404 (2098.3 MB) with weight 636469434 (133.42/col)
  105. Tue Oct 12 20:35:29 2021 sparse part has weight 492815008 (103.31/col)
  106. Tue Oct 12 20:36:23 2021 filtering completed in 2 passes
  107. Tue Oct 12 20:36:24 2021 matrix is 4770082 x 4770261 (2098.3 MB) with weight 636463120 (133.42/col)
  108. Tue Oct 12 20:36:24 2021 sparse part has weight 492813405 (103.31/col)
  109. Tue Oct 12 20:36:49 2021 matrix starts at (0, 0)
  110. Tue Oct 12 20:36:50 2021 matrix is 4770082 x 4770261 (2098.3 MB) with weight 636463120 (133.42/col)
  111. Tue Oct 12 20:36:50 2021 sparse part has weight 492813405 (103.31/col)
  112. Tue Oct 12 20:36:50 2021 saving the first 48 matrix rows for later
  113. Tue Oct 12 20:36:51 2021 matrix includes 64 packed rows
  114. Tue Oct 12 20:36:51 2021 matrix is 4770034 x 4770261 (2033.8 MB) with weight 542324883 (113.69/col)
  115. Tue Oct 12 20:36:51 2021 sparse part has weight 485446857 (101.77/col)
  116. Tue Oct 12 20:36:51 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  117. Tue Oct 12 20:37:07 2021 commencing Lanczos iteration (4 threads)
  118. Tue Oct 12 20:37:07 2021 memory use: 1903.7 MB
  119. Tue Oct 12 20:37:24 2021 linear algebra at 0.0%, ETA 13h57m
  120. Tue Oct 12 20:37:28 2021 checkpointing every 370000 dimensions
  121. Wed Oct 13 10:01:15 2021 lanczos halted after 75434 iterations (dim = 4770032)
  122. Wed Oct 13 10:01:20 2021 recovered 29 nontrivial dependencies
  123. Wed Oct 13 10:01:20 2021 BLanczosTime: 48779
  124. Wed Oct 13 10:01:20 2021
  125. Wed Oct 13 10:01:20 2021 commencing square root phase
  126. Wed Oct 13 10:01:20 2021 handling dependencies 1 to 64
  127. Wed Oct 13 10:01:20 2021 reading relations for dependency 1
  128. Wed Oct 13 10:01:21 2021 read 2385731 cycles
  129. Wed Oct 13 10:01:25 2021 cycles contain 8326478 unique relations
  130. Wed Oct 13 10:02:10 2021 read 8326478 relations
  131. Wed Oct 13 10:02:49 2021 multiplying 8326478 relations
  132. Wed Oct 13 10:10:34 2021 multiply complete, coefficients have about 432.55 million bits
  133. Wed Oct 13 10:10:36 2021 initial square root is modulo 57732023
  134. Wed Oct 13 10:19:56 2021 sqrtTime: 1116
  135. Wed Oct 13 10:19:56 2021 p64 factor: 1458523791196639305306570248901015303168454086220962928920998909
  136. Wed Oct 13 10:19:56 2021 p95 factor: 50688254197053943847605661650575732082619553139621053652202241608315663256277916875174952231911
  137. Wed Oct 13 10:19:56 2021 elapsed time 14:13:37
  138.  
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