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Aug 30th, 2020
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  1. Sun Aug 30 10:52:07 2020
  2. Sun Aug 30 10:52:07 2020
  3. Sun Aug 30 10:52:07 2020 Msieve v. 1.54 (SVN 1025)
  4. Sun Aug 30 10:52:07 2020 random seeds: 46fec84d 562c0271
  5. Sun Aug 30 10:52:07 2020 factoring 2465498314544301602421367703289541318724228878986541956019111872897050846740678460270733515917888819509678509478594808288036753893846733614530583100958100499743240667249 (169 digits)
  6. Sun Aug 30 10:52:08 2020 searching for 15-digit factors
  7. Sun Aug 30 10:52:08 2020 commencing number field sieve (169-digit input)
  8. Sun Aug 30 10:52:08 2020 R0: 1636358293751141797614691986577116151
  9. Sun Aug 30 10:52:08 2020 R1: -1
  10. Sun Aug 30 10:52:08 2020 A0: -17489431
  11. Sun Aug 30 10:52:08 2020 A1: 0
  12. Sun Aug 30 10:52:08 2020 A2: 0
  13. Sun Aug 30 10:52:08 2020 A3: 0
  14. Sun Aug 30 10:52:08 2020 A4: 0
  15. Sun Aug 30 10:52:08 2020 A5: 0
  16. Sun Aug 30 10:52:08 2020 A6: 1
  17. Sun Aug 30 10:52:08 2020 skew 16.11, size 7.856e-11, alpha -3.719, combined = 2.825e-12 rroots = 2
  18. Sun Aug 30 10:52:08 2020
  19. Sun Aug 30 10:52:08 2020 commencing relation filtering
  20. Sun Aug 30 10:52:08 2020 setting target matrix density to 124.0
  21. Sun Aug 30 10:52:08 2020 estimated available RAM is 16007.4 MB
  22. Sun Aug 30 10:52:08 2020 commencing duplicate removal, pass 1
  23. Sun Aug 30 10:56:20 2020 error -15 reading relation 37768936
  24. Sun Aug 30 10:58:06 2020 found 2399268 hash collisions in 52443598 relations
  25. Sun Aug 30 10:58:17 2020 commencing duplicate removal, pass 2
  26. Sun Aug 30 10:58:28 2020 found 0 duplicates and 52443598 unique relations
  27. Sun Aug 30 10:58:28 2020 memory use: 130.6 MB
  28. Sun Aug 30 10:58:28 2020 reading ideals above 720000
  29. Sun Aug 30 10:58:28 2020 commencing singleton removal, initial pass
  30. Sun Aug 30 11:03:50 2020 memory use: 1378.0 MB
  31. Sun Aug 30 11:03:50 2020 reading all ideals from disk
  32. Sun Aug 30 11:03:51 2020 memory use: 1859.3 MB
  33. Sun Aug 30 11:03:54 2020 keeping 47321019 ideals with weight <= 200, target excess is 273056
  34. Sun Aug 30 11:03:58 2020 commencing in-memory singleton removal
  35. Sun Aug 30 11:04:02 2020 begin with 52443598 relations and 47321019 unique ideals
  36. Sun Aug 30 11:04:35 2020 reduce to 34909427 relations and 28043582 ideals in 12 passes
  37. Sun Aug 30 11:04:35 2020 max relations containing the same ideal: 161
  38. Sun Aug 30 11:04:47 2020 removing 4493672 relations and 3493672 ideals in 1000000 cliques
  39. Sun Aug 30 11:04:48 2020 commencing in-memory singleton removal
  40. Sun Aug 30 11:04:49 2020 begin with 30415755 relations and 28043582 unique ideals
  41. Sun Aug 30 11:05:05 2020 reduce to 29891323 relations and 24006573 ideals in 8 passes
  42. Sun Aug 30 11:05:05 2020 max relations containing the same ideal: 145
  43. Sun Aug 30 11:05:14 2020 removing 3575427 relations and 2575427 ideals in 1000000 cliques
  44. Sun Aug 30 11:05:15 2020 commencing in-memory singleton removal
  45. Sun Aug 30 11:05:16 2020 begin with 26315896 relations and 24006573 unique ideals
  46. Sun Aug 30 11:05:29 2020 reduce to 25977551 relations and 21081456 ideals in 8 passes
  47. Sun Aug 30 11:05:29 2020 max relations containing the same ideal: 132
  48. Sun Aug 30 11:05:37 2020 removing 3287733 relations and 2287733 ideals in 1000000 cliques
  49. Sun Aug 30 11:05:38 2020 commencing in-memory singleton removal
  50. Sun Aug 30 11:05:39 2020 begin with 22689818 relations and 21081456 unique ideals
  51. Sun Aug 30 11:05:49 2020 reduce to 22379749 relations and 18472553 ideals in 7 passes
  52. Sun Aug 30 11:05:49 2020 max relations containing the same ideal: 120
  53. Sun Aug 30 11:05:56 2020 removing 3154890 relations and 2154890 ideals in 1000000 cliques
  54. Sun Aug 30 11:05:57 2020 commencing in-memory singleton removal
  55. Sun Aug 30 11:05:58 2020 begin with 19224859 relations and 18472553 unique ideals
  56. Sun Aug 30 11:06:06 2020 reduce to 18913345 relations and 15993914 ideals in 7 passes
  57. Sun Aug 30 11:06:06 2020 max relations containing the same ideal: 107
  58. Sun Aug 30 11:06:12 2020 removing 3080561 relations and 2080561 ideals in 1000000 cliques
  59. Sun Aug 30 11:06:12 2020 commencing in-memory singleton removal
  60. Sun Aug 30 11:06:13 2020 begin with 15832784 relations and 15993914 unique ideals
  61. Sun Aug 30 11:06:21 2020 reduce to 15495779 relations and 13560857 ideals in 9 passes
  62. Sun Aug 30 11:06:21 2020 max relations containing the same ideal: 94
  63. Sun Aug 30 11:06:26 2020 removing 3033723 relations and 2033723 ideals in 1000000 cliques
  64. Sun Aug 30 11:06:27 2020 commencing in-memory singleton removal
  65. Sun Aug 30 11:06:28 2020 begin with 12462056 relations and 13560857 unique ideals
  66. Sun Aug 30 11:06:33 2020 reduce to 12078617 relations and 11122013 ideals in 7 passes
  67. Sun Aug 30 11:06:33 2020 max relations containing the same ideal: 77
  68. Sun Aug 30 11:06:36 2020 removing 2096008 relations and 1456149 ideals in 639859 cliques
  69. Sun Aug 30 11:06:37 2020 commencing in-memory singleton removal
  70. Sun Aug 30 11:06:38 2020 begin with 9982609 relations and 11122013 unique ideals
  71. Sun Aug 30 11:06:42 2020 reduce to 9739451 relations and 9411210 ideals in 8 passes
  72. Sun Aug 30 11:06:42 2020 max relations containing the same ideal: 68
  73. Sun Aug 30 11:06:45 2020 removing 73983 relations and 62487 ideals in 11496 cliques
  74. Sun Aug 30 11:06:45 2020 commencing in-memory singleton removal
  75. Sun Aug 30 11:06:46 2020 begin with 9665468 relations and 9411210 unique ideals
  76. Sun Aug 30 11:06:48 2020 reduce to 9665135 relations and 9348390 ideals in 5 passes
  77. Sun Aug 30 11:06:48 2020 max relations containing the same ideal: 68
  78. Sun Aug 30 11:06:50 2020 relations with 0 large ideals: 9974
  79. Sun Aug 30 11:06:50 2020 relations with 1 large ideals: 5431
  80. Sun Aug 30 11:06:50 2020 relations with 2 large ideals: 57549
  81. Sun Aug 30 11:06:50 2020 relations with 3 large ideals: 352947
  82. Sun Aug 30 11:06:50 2020 relations with 4 large ideals: 1153383
  83. Sun Aug 30 11:06:50 2020 relations with 5 large ideals: 2205151
  84. Sun Aug 30 11:06:50 2020 relations with 6 large ideals: 2608212
  85. Sun Aug 30 11:06:50 2020 relations with 7+ large ideals: 3272488
  86. Sun Aug 30 11:06:50 2020 commencing 2-way merge
  87. Sun Aug 30 11:06:54 2020 reduce to 6371748 relation sets and 6055003 unique ideals
  88. Sun Aug 30 11:06:54 2020 commencing full merge
  89. Sun Aug 30 11:08:48 2020 memory use: 826.8 MB
  90. Sun Aug 30 11:08:48 2020 found 2822041 cycles, need 2817203
  91. Sun Aug 30 11:08:49 2020 weight of 2817203 cycles is about 349619598 (124.10/cycle)
  92. Sun Aug 30 11:08:49 2020 distribution of cycle lengths:
  93. Sun Aug 30 11:08:49 2020 1 relations: 91794
  94. Sun Aug 30 11:08:49 2020 2 relations: 142767
  95. Sun Aug 30 11:08:49 2020 3 relations: 176232
  96. Sun Aug 30 11:08:49 2020 4 relations: 188766
  97. Sun Aug 30 11:08:49 2020 5 relations: 198075
  98. Sun Aug 30 11:08:49 2020 6 relations: 200419
  99. Sun Aug 30 11:08:49 2020 7 relations: 198273
  100. Sun Aug 30 11:08:49 2020 8 relations: 192275
  101. Sun Aug 30 11:08:49 2020 9 relations: 182305
  102. Sun Aug 30 11:08:49 2020 10+ relations: 1246297
  103. Sun Aug 30 11:08:49 2020 heaviest cycle: 28 relations
  104. Sun Aug 30 11:08:49 2020 commencing cycle optimization
  105. Sun Aug 30 11:08:54 2020 start with 26944580 relations
  106. Sun Aug 30 11:09:42 2020 pruned 1389138 relations
  107. Sun Aug 30 11:09:42 2020 memory use: 677.2 MB
  108. Sun Aug 30 11:09:42 2020 distribution of cycle lengths:
  109. Sun Aug 30 11:09:42 2020 1 relations: 91794
  110. Sun Aug 30 11:09:42 2020 2 relations: 146481
  111. Sun Aug 30 11:09:42 2020 3 relations: 183983
  112. Sun Aug 30 11:09:42 2020 4 relations: 197121
  113. Sun Aug 30 11:09:42 2020 5 relations: 209292
  114. Sun Aug 30 11:09:42 2020 6 relations: 211838
  115. Sun Aug 30 11:09:42 2020 7 relations: 210260
  116. Sun Aug 30 11:09:42 2020 8 relations: 203302
  117. Sun Aug 30 11:09:42 2020 9 relations: 193120
  118. Sun Aug 30 11:09:42 2020 10+ relations: 1170012
  119. Sun Aug 30 11:09:42 2020 heaviest cycle: 28 relations
  120. Sun Aug 30 11:09:47 2020 RelProcTime: 1059
  121. Sun Aug 30 11:09:47 2020
  122. Sun Aug 30 11:09:47 2020 commencing linear algebra
  123. Sun Aug 30 11:09:47 2020 read 2817203 cycles
  124. Sun Aug 30 11:09:51 2020 cycles contain 9501508 unique relations
  125. Sun Aug 30 11:10:38 2020 read 9501508 relations
  126. Sun Aug 30 11:10:48 2020 using 20 quadratic characters above 4294917295
  127. Sun Aug 30 11:11:24 2020 building initial matrix
  128. Sun Aug 30 11:13:04 2020 memory use: 1279.1 MB
  129. Sun Aug 30 11:13:05 2020 read 2817203 cycles
  130. Sun Aug 30 11:13:05 2020 matrix is 2817026 x 2817203 (1347.7 MB) with weight 408021814 (144.83/col)
  131. Sun Aug 30 11:13:05 2020 sparse part has weight 322309126 (114.41/col)
  132. Sun Aug 30 11:13:29 2020 filtering completed in 2 passes
  133. Sun Aug 30 11:13:30 2020 matrix is 2817006 x 2817183 (1347.7 MB) with weight 408021004 (144.83/col)
  134. Sun Aug 30 11:13:30 2020 sparse part has weight 322308956 (114.41/col)
  135. Sun Aug 30 11:13:39 2020 matrix starts at (0, 0)
  136. Sun Aug 30 11:13:40 2020 matrix is 2817006 x 2817183 (1347.7 MB) with weight 408021004 (144.83/col)
  137. Sun Aug 30 11:13:40 2020 sparse part has weight 322308956 (114.41/col)
  138. Sun Aug 30 11:13:40 2020 saving the first 48 matrix rows for later
  139. Sun Aug 30 11:13:40 2020 matrix includes 64 packed rows
  140. Sun Aug 30 11:13:40 2020 matrix is 2816958 x 2817183 (1309.9 MB) with weight 349584696 (124.09/col)
  141. Sun Aug 30 11:13:40 2020 sparse part has weight 315203535 (111.89/col)
  142. Sun Aug 30 11:13:40 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  143. Sun Aug 30 11:13:50 2020 commencing Lanczos iteration (4 threads)
  144. Sun Aug 30 11:13:50 2020 memory use: 1214.0 MB
  145. Sun Aug 30 11:13:59 2020 linear algebra at 0.1%, ETA 4h37m
  146. Sun Aug 30 11:14:02 2020 checkpointing every 610000 dimensions
  147. Sun Aug 30 15:26:14 2020 lanczos halted after 44547 iterations (dim = 2816956)
  148. Sun Aug 30 15:26:16 2020 recovered 34 nontrivial dependencies
  149. Sun Aug 30 15:26:16 2020 BLanczosTime: 15389
  150. Sun Aug 30 15:26:16 2020
  151. Sun Aug 30 15:26:16 2020 commencing square root phase
  152. Sun Aug 30 15:26:16 2020 handling dependencies 1 to 64
  153. Sun Aug 30 15:26:16 2020 reading relations for dependency 1
  154. Sun Aug 30 15:26:16 2020 read 1408826 cycles
  155. Sun Aug 30 15:26:18 2020 cycles contain 4751990 unique relations
  156. Sun Aug 30 15:26:43 2020 read 4751990 relations
  157. Sun Aug 30 15:26:58 2020 multiplying 4751990 relations
  158. Sun Aug 30 15:29:11 2020 multiply complete, coefficients have about 122.04 million bits
  159. Sun Aug 30 15:29:11 2020 initial square root is modulo 575271217
  160. Sun Aug 30 15:31:45 2020 sqrtTime: 329
  161. Sun Aug 30 15:31:45 2020 p52 factor: 7261546180245621210193647172302671150031070522603501
  162. Sun Aug 30 15:31:45 2020 p117 factor: 339528008683807106496128054037409903871746726335311244831323608567662735107992867198026330912227610220436033803145749
  163. Sun Aug 30 15:31:45 2020 elapsed time 04:39:38
  164.  
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