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Nov 14th, 2018
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  1. Wed Nov 7 05:01:54 2018 Msieve v. 1.52 (SVN exported)
  2. Wed Nov 7 05:01:54 2018 random seeds: dc559783 59d23f8f
  3. Wed Nov 7 05:01:54 2018 factoring 8081285760208310204291706443628266591168613003567359363504960559087346241954627417585003114058953502037632067209601867091762546813378282164264065807923255339 (157 digits)
  4. Wed Nov 7 05:01:56 2018 searching for 15-digit factors
  5. Wed Nov 7 05:02:00 2018 commencing number field sieve (157-digit input)
  6. Wed Nov 7 05:02:00 2018 R0: -1603230175384897239642052052968
  7. Wed Nov 7 05:02:00 2018 R1: 641890352689791023
  8. Wed Nov 7 05:02:00 2018 A0: 175947466117145166193092360466457185125
  9. Wed Nov 7 05:02:00 2018 A1: -508125547799747739159066433748748
  10. Wed Nov 7 05:02:00 2018 A2: 230984168919653186908140577
  11. Wed Nov 7 05:02:00 2018 A3: 202428535974405957022
  12. Wed Nov 7 05:02:00 2018 A4: -3060871737188
  13. Wed Nov 7 05:02:00 2018 A5: 762960
  14. Wed Nov 7 05:02:00 2018 skew 3070217.79, size 2.759e-15, alpha -8.822, combined = 2.002e-12 rroots = 3
  15. Wed Nov 7 05:02:00 2018
  16. Wed Nov 7 05:02:00 2018 commencing relation filtering
  17. Wed Nov 7 05:02:00 2018 setting target matrix density to 100.0
  18. Wed Nov 7 05:02:00 2018 estimated available RAM is 11006.7 MB
  19. Wed Nov 7 05:02:00 2018 commencing duplicate removal, pass 1
  20. Wed Nov 7 05:15:49 2018 found 10261648 hash collisions in 53447859 relations
  21. Wed Nov 7 05:16:50 2018 added 122124 free relations
  22. Wed Nov 7 05:16:50 2018 commencing duplicate removal, pass 2
  23. Wed Nov 7 05:18:50 2018 found 10091394 duplicates and 43478589 unique relations
  24. Wed Nov 7 05:18:50 2018 memory use: 330.4 MB
  25. Wed Nov 7 05:18:51 2018 reading ideals above 720000
  26. Wed Nov 7 05:18:51 2018 commencing singleton removal, initial pass
  27. Wed Nov 7 05:34:36 2018 memory use: 1378.0 MB
  28. Wed Nov 7 05:34:36 2018 reading all ideals from disk
  29. Wed Nov 7 05:34:40 2018 memory use: 1559.0 MB
  30. Wed Nov 7 05:34:51 2018 keeping 44829858 ideals with weight <= 200, target excess is 233900
  31. Wed Nov 7 05:35:04 2018 commencing in-memory singleton removal
  32. Wed Nov 7 05:35:14 2018 begin with 43478589 relations and 44829858 unique ideals
  33. Wed Nov 7 05:36:48 2018 reduce to 22437790 relations and 21027696 ideals in 16 passes
  34. Wed Nov 7 05:36:48 2018 max relations containing the same ideal: 134
  35. Wed Nov 7 05:37:12 2018 removing 2910066 relations and 2510066 ideals in 400000 cliques
  36. Wed Nov 7 05:37:14 2018 commencing in-memory singleton removal
  37. Wed Nov 7 05:37:18 2018 begin with 19527724 relations and 21027696 unique ideals
  38. Wed Nov 7 05:38:19 2018 reduce to 19230633 relations and 18213705 ideals in 14 passes
  39. Wed Nov 7 05:38:19 2018 max relations containing the same ideal: 124
  40. Wed Nov 7 05:38:38 2018 removing 2201489 relations and 1801489 ideals in 400000 cliques
  41. Wed Nov 7 05:38:39 2018 commencing in-memory singleton removal
  42. Wed Nov 7 05:38:43 2018 begin with 17029144 relations and 18213705 unique ideals
  43. Wed Nov 7 05:39:30 2018 reduce to 16829505 relations and 16208286 ideals in 10 passes
  44. Wed Nov 7 05:39:30 2018 max relations containing the same ideal: 111
  45. Wed Nov 7 05:39:51 2018 removing 1786765 relations and 1436871 ideals in 349894 cliques
  46. Wed Nov 7 05:39:53 2018 commencing in-memory singleton removal
  47. Wed Nov 7 05:39:56 2018 begin with 15042740 relations and 16208286 unique ideals
  48. Wed Nov 7 05:40:32 2018 reduce to 14895113 relations and 14620929 ideals in 9 passes
  49. Wed Nov 7 05:40:32 2018 max relations containing the same ideal: 103
  50. Wed Nov 7 05:40:53 2018 relations with 0 large ideals: 800
  51. Wed Nov 7 05:40:53 2018 relations with 1 large ideals: 1986
  52. Wed Nov 7 05:40:53 2018 relations with 2 large ideals: 30861
  53. Wed Nov 7 05:40:53 2018 relations with 3 large ideals: 239847
  54. Wed Nov 7 05:40:53 2018 relations with 4 large ideals: 1017412
  55. Wed Nov 7 05:40:53 2018 relations with 5 large ideals: 2554800
  56. Wed Nov 7 05:40:53 2018 relations with 6 large ideals: 3979622
  57. Wed Nov 7 05:40:53 2018 relations with 7+ large ideals: 7069785
  58. Wed Nov 7 05:40:53 2018 commencing 2-way merge
  59. Wed Nov 7 05:41:11 2018 reduce to 9257832 relation sets and 8983648 unique ideals
  60. Wed Nov 7 05:41:11 2018 commencing full merge
  61. Wed Nov 7 05:47:43 2018 memory use: 1115.2 MB
  62. Wed Nov 7 05:47:45 2018 found 4335954 cycles, need 4313848
  63. Wed Nov 7 05:47:48 2018 weight of 4313848 cycles is about 431626729 (100.06/cycle)
  64. Wed Nov 7 05:47:48 2018 distribution of cycle lengths:
  65. Wed Nov 7 05:47:48 2018 1 relations: 346294
  66. Wed Nov 7 05:47:48 2018 2 relations: 391145
  67. Wed Nov 7 05:47:48 2018 3 relations: 404801
  68. Wed Nov 7 05:47:48 2018 4 relations: 383181
  69. Wed Nov 7 05:47:48 2018 5 relations: 363578
  70. Wed Nov 7 05:47:48 2018 6 relations: 329132
  71. Wed Nov 7 05:47:48 2018 7 relations: 302799
  72. Wed Nov 7 05:47:48 2018 8 relations: 271244
  73. Wed Nov 7 05:47:48 2018 9 relations: 241137
  74. Wed Nov 7 05:47:48 2018 10+ relations: 1280537
  75. Wed Nov 7 05:47:48 2018 heaviest cycle: 28 relations
  76. Wed Nov 7 05:47:50 2018 commencing cycle optimization
  77. Wed Nov 7 05:48:06 2018 start with 32001397 relations
  78. Wed Nov 7 05:50:18 2018 pruned 1105391 relations
  79. Wed Nov 7 05:50:18 2018 memory use: 938.9 MB
  80. Wed Nov 7 05:50:18 2018 distribution of cycle lengths:
  81. Wed Nov 7 05:50:18 2018 1 relations: 346294
  82. Wed Nov 7 05:50:18 2018 2 relations: 401555
  83. Wed Nov 7 05:50:18 2018 3 relations: 422253
  84. Wed Nov 7 05:50:18 2018 4 relations: 396510
  85. Wed Nov 7 05:50:18 2018 5 relations: 376962
  86. Wed Nov 7 05:50:18 2018 6 relations: 338442
  87. Wed Nov 7 05:50:18 2018 7 relations: 310690
  88. Wed Nov 7 05:50:18 2018 8 relations: 275732
  89. Wed Nov 7 05:50:18 2018 9 relations: 244055
  90. Wed Nov 7 05:50:18 2018 10+ relations: 1201355
  91. Wed Nov 7 05:50:18 2018 heaviest cycle: 28 relations
  92. Wed Nov 7 05:50:32 2018 RelProcTime: 2912
  93. Wed Nov 7 05:50:35 2018 elapsed time 00:48:41
  94. Wed Nov 7 14:43:30 2018
  95. Wed Nov 7 14:43:30 2018
  96. Wed Nov 7 14:43:30 2018 Msieve v. 1.52 (SVN exported)
  97. Wed Nov 7 14:43:30 2018 random seeds: b50a63df 5f3d7cc9
  98. Wed Nov 7 14:43:30 2018 factoring 8081285760208310204291706443628266591168613003567359363504960559087346241954627417585003114058953502037632067209601867091762546813378282164264065807923255339 (157 digits)
  99. Wed Nov 7 14:43:32 2018 searching for 15-digit factors
  100. Wed Nov 7 14:43:34 2018 commencing number field sieve (157-digit input)
  101. Wed Nov 7 14:43:34 2018 R0: -1603230175384897239642052052968
  102. Wed Nov 7 14:43:34 2018 R1: 641890352689791023
  103. Wed Nov 7 14:43:34 2018 A0: 175947466117145166193092360466457185125
  104. Wed Nov 7 14:43:34 2018 A1: -508125547799747739159066433748748
  105. Wed Nov 7 14:43:34 2018 A2: 230984168919653186908140577
  106. Wed Nov 7 14:43:34 2018 A3: 202428535974405957022
  107. Wed Nov 7 14:43:34 2018 A4: -3060871737188
  108. Wed Nov 7 14:43:34 2018 A5: 762960
  109. Wed Nov 7 14:43:34 2018 skew 3070217.79, size 2.759e-15, alpha -8.822, combined = 2.002e-12 rroots = 3
  110. Wed Nov 7 14:43:34 2018
  111. Wed Nov 7 14:43:34 2018 commencing linear algebra
  112. Wed Nov 7 14:43:35 2018 read 4313848 cycles
  113. Wed Nov 7 14:43:46 2018 cycles contain 14651462 unique relations
  114. Wed Nov 7 14:47:17 2018 read 14651462 relations
  115. Wed Nov 7 14:47:51 2018 using 20 quadratic characters above 536870880
  116. Wed Nov 7 14:49:26 2018 building initial matrix
  117. Wed Nov 7 14:53:41 2018 memory use: 2010.1 MB
  118. Wed Nov 7 14:53:44 2018 read 4313848 cycles
  119. Wed Nov 7 14:53:46 2018 matrix is 4313670 x 4313848 (1754.0 MB) with weight 552288643 (128.03/col)
  120. Wed Nov 7 14:53:46 2018 sparse part has weight 408035186 (94.59/col)
  121. Wed Nov 7 14:54:47 2018 filtering completed in 2 passes
  122. Wed Nov 7 14:54:49 2018 matrix is 4312975 x 4313153 (1753.9 MB) with weight 552254411 (128.04/col)
  123. Wed Nov 7 14:54:49 2018 sparse part has weight 408026169 (94.60/col)
  124. Wed Nov 7 14:55:08 2018 matrix starts at (0, 0)
  125. Wed Nov 7 14:55:10 2018 matrix is 4312975 x 4313153 (1753.9 MB) with weight 552254411 (128.04/col)
  126. Wed Nov 7 14:55:10 2018 sparse part has weight 408026169 (94.60/col)
  127. Wed Nov 7 14:55:10 2018 saving the first 48 matrix rows for later
  128. Wed Nov 7 14:55:11 2018 matrix includes 128 packed rows
  129. Wed Nov 7 14:55:13 2018 matrix is 4312927 x 4313153 (1672.4 MB) with weight 464523685 (107.70/col)
  130. Wed Nov 7 14:55:13 2018 sparse part has weight 386646206 (89.64/col)
  131. Wed Nov 7 14:55:13 2018 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  132. Wed Nov 7 14:55:38 2018 commencing Lanczos iteration (8 threads)
  133. Wed Nov 7 14:55:38 2018 memory use: 1391.3 MB
  134. Wed Nov 7 14:56:06 2018 linear algebra at 0.0%, ETA 21h18m
  135. Wed Nov 7 14:56:13 2018 checkpointing every 220000 dimensions
  136. Thu Nov 8 12:00:12 2018 lanczos halted after 68204 iterations (dim = 4312925)
  137. Thu Nov 8 12:00:19 2018 recovered 28 nontrivial dependencies
  138. Thu Nov 8 12:00:19 2018 BLanczosTime: 76605
  139. Thu Nov 8 12:00:19 2018
  140. Thu Nov 8 12:00:19 2018 commencing square root phase
  141. Thu Nov 8 12:00:19 2018 reading relations for dependency 1
  142. Thu Nov 8 12:00:20 2018 read 2158532 cycles
  143. Thu Nov 8 12:00:26 2018 cycles contain 7329806 unique relations
  144. Thu Nov 8 12:04:21 2018 read 7329806 relations
  145. Thu Nov 8 12:05:47 2018 multiplying 7329806 relations
  146. Thu Nov 8 12:29:02 2018 multiply complete, coefficients have about 411.64 million bits
  147. Thu Nov 8 12:29:07 2018 initial square root is modulo 24327487
  148. Thu Nov 8 12:56:22 2018 sqrtTime: 3363
  149. Thu Nov 8 12:56:22 2018 prp64 factor: 1372103872118178125313385488082818230734972322016972752961139327
  150. Thu Nov 8 12:56:22 2018 prp94 factor: 5889704070095559076330043995743925903138686109308479696490737405909141267628699393928883203157
  151. Thu Nov 8 12:56:22 2018 elapsed time 22:12:52
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