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109xxx461_5m1

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Jul 20th, 2019
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  1. Fri Jul 19 20:55:49 2019
  2. Fri Jul 19 20:55:49 2019
  3. Fri Jul 19 20:55:49 2019 Msieve v. 1.53 (SVN 988M)
  4. Fri Jul 19 20:55:49 2019 random seeds: 6db71815 001a3927
  5. Fri Jul 19 20:55:49 2019 factoring 4046444315752527457408271607532038345173735743894708403987768844404968433034688318373385176748034682087178881159781563890728854413259455822017687001245574592041 (160 digits)
  6. Fri Jul 19 20:55:49 2019 searching for 15-digit factors
  7. Fri Jul 19 20:55:50 2019 commencing number field sieve (160-digit input)
  8. Fri Jul 19 20:55:50 2019 R0: -6890178844101496834463103251835
  9. Fri Jul 19 20:55:50 2019 R1: 2877433859984401
  10. Fri Jul 19 20:55:50 2019 A0: 18646991625402779895444388379892767844496
  11. Fri Jul 19 20:55:50 2019 A1: 2419683683602074424232694628033652
  12. Fri Jul 19 20:55:50 2019 A2: -2147262760975953357615064360
  13. Fri Jul 19 20:55:50 2019 A3: 36823283800602489325
  14. Fri Jul 19 20:55:50 2019 A4: 21478246659414
  15. Fri Jul 19 20:55:50 2019 A5: 260568
  16. Fri Jul 19 20:55:50 2019 skew 1.00, size 1.524e-15, alpha -8.830, combined = 6.725e-15 rroots = 5
  17. Fri Jul 19 20:55:50 2019
  18. Fri Jul 19 20:55:50 2019 commencing relation filtering
  19. Fri Jul 19 20:55:50 2019 setting target matrix density to 130.0
  20. Fri Jul 19 20:55:50 2019 estimated available RAM is 32768.0 MB
  21. Fri Jul 19 20:55:50 2019 commencing duplicate removal, pass 1
  22. Fri Jul 19 21:00:23 2019 error -15 reading relation 44865370
  23. Fri Jul 19 21:06:19 2019 found 4789000 hash collisions in 104672250 relations
  24. Fri Jul 19 21:06:41 2019 added 121915 free relations
  25. Fri Jul 19 21:06:41 2019 commencing duplicate removal, pass 2
  26. Fri Jul 19 21:07:04 2019 found 1 duplicates and 104794164 unique relations
  27. Fri Jul 19 21:07:04 2019 memory use: 261.2 MB
  28. Fri Jul 19 21:07:04 2019 reading ideals above 720000
  29. Fri Jul 19 21:07:04 2019 commencing singleton removal, initial pass
  30. Fri Jul 19 21:16:36 2019 memory use: 2756.0 MB
  31. Fri Jul 19 21:16:36 2019 reading all ideals from disk
  32. Fri Jul 19 21:16:38 2019 memory use: 3890.6 MB
  33. Fri Jul 19 21:16:45 2019 keeping 90910122 ideals with weight <= 200, target excess is 545637
  34. Fri Jul 19 21:16:53 2019 commencing in-memory singleton removal
  35. Fri Jul 19 21:17:00 2019 begin with 104794164 relations and 90910122 unique ideals
  36. Fri Jul 19 21:18:00 2019 reduce to 71488531 relations and 54483714 ideals in 12 passes
  37. Fri Jul 19 21:18:00 2019 max relations containing the same ideal: 163
  38. Fri Jul 19 21:18:23 2019 removing 8339383 relations and 6339383 ideals in 2000000 cliques
  39. Fri Jul 19 21:18:26 2019 commencing in-memory singleton removal
  40. Fri Jul 19 21:18:30 2019 begin with 63149148 relations and 54483714 unique ideals
  41. Fri Jul 19 21:18:58 2019 reduce to 62397569 relations and 47366969 ideals in 7 passes
  42. Fri Jul 19 21:18:58 2019 max relations containing the same ideal: 152
  43. Fri Jul 19 21:19:19 2019 removing 6590995 relations and 4590995 ideals in 2000000 cliques
  44. Fri Jul 19 21:19:21 2019 commencing in-memory singleton removal
  45. Fri Jul 19 21:19:24 2019 begin with 55806574 relations and 47366969 unique ideals
  46. Fri Jul 19 21:19:49 2019 reduce to 55280049 relations and 42233015 ideals in 7 passes
  47. Fri Jul 19 21:19:49 2019 max relations containing the same ideal: 142
  48. Fri Jul 19 21:20:08 2019 removing 6129270 relations and 4129270 ideals in 2000000 cliques
  49. Fri Jul 19 21:20:10 2019 commencing in-memory singleton removal
  50. Fri Jul 19 21:20:13 2019 begin with 49150779 relations and 42233015 unique ideals
  51. Fri Jul 19 21:20:34 2019 reduce to 48676008 relations and 37613457 ideals in 7 passes
  52. Fri Jul 19 21:20:34 2019 max relations containing the same ideal: 129
  53. Fri Jul 19 21:20:51 2019 removing 5897423 relations and 3897423 ideals in 2000000 cliques
  54. Fri Jul 19 21:20:53 2019 commencing in-memory singleton removal
  55. Fri Jul 19 21:20:55 2019 begin with 42778585 relations and 37613457 unique ideals
  56. Fri Jul 19 21:21:14 2019 reduce to 42310007 relations and 33230396 ideals in 7 passes
  57. Fri Jul 19 21:21:14 2019 max relations containing the same ideal: 117
  58. Fri Jul 19 21:21:29 2019 removing 5757718 relations and 3757718 ideals in 2000000 cliques
  59. Fri Jul 19 21:21:31 2019 commencing in-memory singleton removal
  60. Fri Jul 19 21:21:32 2019 begin with 36552289 relations and 33230396 unique ideals
  61. Fri Jul 19 21:21:48 2019 reduce to 36064062 relations and 28964669 ideals in 7 passes
  62. Fri Jul 19 21:21:48 2019 max relations containing the same ideal: 103
  63. Fri Jul 19 21:22:01 2019 removing 5671104 relations and 3671104 ideals in 2000000 cliques
  64. Fri Jul 19 21:22:02 2019 commencing in-memory singleton removal
  65. Fri Jul 19 21:22:04 2019 begin with 30392958 relations and 28964669 unique ideals
  66. Fri Jul 19 21:22:18 2019 reduce to 29861324 relations and 24737214 ideals in 8 passes
  67. Fri Jul 19 21:22:18 2019 max relations containing the same ideal: 94
  68. Fri Jul 19 21:22:29 2019 removing 5609819 relations and 3609819 ideals in 2000000 cliques
  69. Fri Jul 19 21:22:30 2019 commencing in-memory singleton removal
  70. Fri Jul 19 21:22:31 2019 begin with 24251505 relations and 24737214 unique ideals
  71. Fri Jul 19 21:22:43 2019 reduce to 23646093 relations and 20487504 ideals in 8 passes
  72. Fri Jul 19 21:22:43 2019 max relations containing the same ideal: 82
  73. Fri Jul 19 21:22:51 2019 removing 5568015 relations and 3568015 ideals in 2000000 cliques
  74. Fri Jul 19 21:22:52 2019 commencing in-memory singleton removal
  75. Fri Jul 19 21:22:53 2019 begin with 18078078 relations and 20487504 unique ideals
  76. Fri Jul 19 21:23:03 2019 reduce to 17340525 relations and 16129110 ideals in 9 passes
  77. Fri Jul 19 21:23:03 2019 max relations containing the same ideal: 65
  78. Fri Jul 19 21:23:09 2019 removing 2016958 relations and 1438482 ideals in 578476 cliques
  79. Fri Jul 19 21:23:10 2019 commencing in-memory singleton removal
  80. Fri Jul 19 21:23:10 2019 begin with 15323567 relations and 16129110 unique ideals
  81. Fri Jul 19 21:23:17 2019 reduce to 15148837 relations and 14510685 ideals in 7 passes
  82. Fri Jul 19 21:23:17 2019 max relations containing the same ideal: 58
  83. Fri Jul 19 21:23:23 2019 relations with 0 large ideals: 1753
  84. Fri Jul 19 21:23:23 2019 relations with 1 large ideals: 13592
  85. Fri Jul 19 21:23:23 2019 relations with 2 large ideals: 171687
  86. Fri Jul 19 21:23:23 2019 relations with 3 large ideals: 910265
  87. Fri Jul 19 21:23:23 2019 relations with 4 large ideals: 2517354
  88. Fri Jul 19 21:23:23 2019 relations with 5 large ideals: 4029779
  89. Fri Jul 19 21:23:23 2019 relations with 6 large ideals: 3969731
  90. Fri Jul 19 21:23:23 2019 relations with 7+ large ideals: 3534676
  91. Fri Jul 19 21:23:23 2019 commencing 2-way merge
  92. Fri Jul 19 21:23:31 2019 reduce to 10088061 relation sets and 9449909 unique ideals
  93. Fri Jul 19 21:23:31 2019 commencing full merge
  94. Fri Jul 19 21:26:32 2019 memory use: 1218.9 MB
  95. Fri Jul 19 21:26:34 2019 found 4498972 cycles, need 4450109
  96. Fri Jul 19 21:26:34 2019 weight of 4450109 cycles is about 579336785 (130.18/cycle)
  97. Fri Jul 19 21:26:34 2019 distribution of cycle lengths:
  98. Fri Jul 19 21:26:34 2019 1 relations: 86542
  99. Fri Jul 19 21:26:34 2019 2 relations: 210631
  100. Fri Jul 19 21:26:34 2019 3 relations: 277458
  101. Fri Jul 19 21:26:34 2019 4 relations: 306097
  102. Fri Jul 19 21:26:34 2019 5 relations: 328441
  103. Fri Jul 19 21:26:34 2019 6 relations: 335257
  104. Fri Jul 19 21:26:34 2019 7 relations: 337122
  105. Fri Jul 19 21:26:34 2019 8 relations: 326976
  106. Fri Jul 19 21:26:34 2019 9 relations: 310471
  107. Fri Jul 19 21:26:34 2019 10+ relations: 1931114
  108. Fri Jul 19 21:26:34 2019 heaviest cycle: 28 relations
  109. Fri Jul 19 21:26:36 2019 commencing cycle optimization
  110. Fri Jul 19 21:26:45 2019 start with 41587821 relations
  111. Fri Jul 19 21:28:25 2019 pruned 2236986 relations
  112. Fri Jul 19 21:28:25 2019 memory use: 1053.9 MB
  113. Fri Jul 19 21:28:25 2019 distribution of cycle lengths:
  114. Fri Jul 19 21:28:25 2019 1 relations: 86542
  115. Fri Jul 19 21:28:25 2019 2 relations: 217294
  116. Fri Jul 19 21:28:25 2019 3 relations: 291676
  117. Fri Jul 19 21:28:25 2019 4 relations: 322066
  118. Fri Jul 19 21:28:25 2019 5 relations: 349236
  119. Fri Jul 19 21:28:25 2019 6 relations: 356344
  120. Fri Jul 19 21:28:25 2019 7 relations: 360623
  121. Fri Jul 19 21:28:25 2019 8 relations: 347461
  122. Fri Jul 19 21:28:25 2019 9 relations: 329092
  123. Fri Jul 19 21:28:25 2019 10+ relations: 1789775
  124. Fri Jul 19 21:28:25 2019 heaviest cycle: 28 relations
  125. Fri Jul 19 21:28:34 2019 RelProcTime: 1964
  126. Fri Jul 19 21:28:34 2019
  127. Fri Jul 19 21:28:34 2019 commencing linear algebra
  128. Fri Jul 19 21:28:35 2019 read 4450109 cycles
  129. Fri Jul 19 21:28:44 2019 cycles contain 14817426 unique relations
  130. Fri Jul 19 21:29:42 2019 read 14817426 relations
  131. Fri Jul 19 21:30:08 2019 using 20 quadratic characters above 4294917295
  132. Fri Jul 19 21:31:01 2019 building initial matrix
  133. Fri Jul 19 21:33:39 2019 memory use: 2061.2 MB
  134. Fri Jul 19 21:33:43 2019 read 4450109 cycles
  135. Fri Jul 19 21:33:43 2019 matrix is 4449931 x 4450109 (2228.6 MB) with weight 682086378 (153.27/col)
  136. Fri Jul 19 21:33:43 2019 sparse part has weight 530802008 (119.28/col)
  137. Fri Jul 19 21:34:27 2019 filtering completed in 2 passes
  138. Fri Jul 19 21:34:28 2019 matrix is 4449838 x 4450016 (2228.5 MB) with weight 682081268 (153.28/col)
  139. Fri Jul 19 21:34:28 2019 sparse part has weight 530800173 (119.28/col)
  140. Fri Jul 19 21:34:42 2019 matrix starts at (0, 0)
  141. Fri Jul 19 21:34:43 2019 matrix is 4449838 x 4450016 (2228.5 MB) with weight 682081268 (153.28/col)
  142. Fri Jul 19 21:34:43 2019 sparse part has weight 530800173 (119.28/col)
  143. Fri Jul 19 21:34:43 2019 saving the first 48 matrix rows for later
  144. Fri Jul 19 21:34:43 2019 matrix includes 64 packed rows
  145. Fri Jul 19 21:34:44 2019 matrix is 4449790 x 4450016 (2171.4 MB) with weight 587803022 (132.09/col)
  146. Fri Jul 19 21:34:44 2019 sparse part has weight 524713481 (117.91/col)
  147. Fri Jul 19 21:34:44 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  148. Fri Jul 19 21:35:08 2019 commencing Lanczos iteration (8 threads)
  149. Fri Jul 19 21:35:08 2019 memory use: 1787.4 MB
  150. Fri Jul 19 21:35:15 2019 linear algebra at 0.0%, ETA 5h40m
  151. Fri Jul 19 21:35:18 2019 checkpointing every 730000 dimensions
  152. Sat Jul 20 03:30:30 2019 lanczos halted after 70370 iterations (dim = 4449788)
  153. Sat Jul 20 03:30:34 2019 recovered 28 nontrivial dependencies
  154. Sat Jul 20 03:30:35 2019 BLanczosTime: 21721
  155. Sat Jul 20 03:30:35 2019
  156. Sat Jul 20 03:30:35 2019 commencing square root phase
  157. Sat Jul 20 03:30:35 2019 handling dependencies 1 to 64
  158. Sat Jul 20 03:30:35 2019 reading relations for dependency 1
  159. Sat Jul 20 03:30:36 2019 read 2224975 cycles
  160. Sat Jul 20 03:30:40 2019 cycles contain 7407828 unique relations
  161. Sat Jul 20 03:31:12 2019 read 7407828 relations
  162. Sat Jul 20 03:31:41 2019 multiplying 7407828 relations
  163. Sat Jul 20 03:37:20 2019 multiply complete, coefficients have about 414.47 million bits
  164. Sat Jul 20 03:37:22 2019 initial square root is modulo 27347027
  165. Sat Jul 20 03:43:49 2019 sqrtTime: 794
  166. Sat Jul 20 03:43:49 2019 p60 factor: 234800299026671155072646032031515458631011882292055207011861
  167. Sat Jul 20 03:43:49 2019 p101 factor: 17233556909963256003389378286365914922607842149146256671371171644877474132020169377219543663600093381
  168. Sat Jul 20 03:43:49 2019 elapsed time 06:48:00
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