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May 12th, 2024
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  1. Sat May 11 23:52:55 2024
  2. Sat May 11 23:52:55 2024 Msieve v. 1.54 (SVN Unversioned directory)
  3. Sat May 11 23:52:55 2024 random seeds: 548157e2 29a02f01
  4. Sat May 11 23:52:55 2024 Using 16 OpenMP threads
  5. Sat May 11 23:52:55 2024 factoring 16681652761084211919179159418724436936084403222565933843061705761318156534633165693010396587115320816578125913093533540343113453511622786292849190442459895794911315029 (167 digits)
  6. Sat May 11 23:52:55 2024 no P-1/P+1/ECM available, skipping
  7. Sat May 11 23:52:55 2024 commencing number field sieve (167-digit input)
  8. Sat May 11 23:52:55 2024 R0: -188443143356402639944823871144914
  9. Sat May 11 23:52:55 2024 R1: 227324054985191167
  10. Sat May 11 23:52:55 2024 A0: 54181356728793261870216523729847676341325
  11. Sat May 11 23:52:55 2024 A1: 1665154927084499615470282389368815
  12. Sat May 11 23:52:55 2024 A2: -3857257213479641507868136379
  13. Sat May 11 23:52:55 2024 A3: -50394021814241247983
  14. Sat May 11 23:52:55 2024 A4: 35506529290662
  15. Sat May 11 23:52:55 2024 A5: 70200
  16. Sat May 11 23:52:55 2024 skew 11939741.60, size 3.119e-16, alpha -7.869, combined = 5.606e-13 rroots = 5
  17. Sat May 11 23:52:55 2024
  18. Sat May 11 23:52:55 2024 commencing relation filtering
  19. Sat May 11 23:52:55 2024 setting target matrix density to 100.0
  20. Sat May 11 23:52:55 2024 estimated available RAM is 64214.4 MB
  21. Sat May 11 23:52:55 2024 commencing duplicate removal, pass 1
  22. Sat May 11 23:55:17 2024 found 9247085 hash collisions in 205678550 relations
  23. Sat May 11 23:55:31 2024 added 121751 free relations
  24. Sat May 11 23:55:31 2024 commencing duplicate removal, pass 2
  25. Sat May 11 23:56:07 2024 found 1 duplicates and 205800300 unique relations
  26. Sat May 11 23:56:07 2024 memory use: 554.4 MB
  27. Sat May 11 23:56:07 2024 reading ideals above 720000
  28. Sat May 11 23:56:07 2024 commencing singleton removal, initial pass
  29. Sun May 12 00:02:48 2024 memory use: 5512.0 MB
  30. Sun May 12 00:02:48 2024 reading all ideals from disk
  31. Sun May 12 00:02:59 2024 memory use: 9416.2 MB
  32. Sun May 12 00:03:19 2024 keeping 214327985 ideals with weight <= 200, target excess is 1017337
  33. Sun May 12 00:03:37 2024 commencing in-memory singleton removal
  34. Sun May 12 00:03:40 2024 begin with 205800300 relations and 214327985 unique ideals
  35. Sun May 12 00:04:01 2024 reduce to 90815263 relations and 82035628 ideals in 19 passes
  36. Sun May 12 00:04:01 2024 max relations containing the same ideal: 122
  37. Sun May 12 00:04:22 2024 removing 8670163 relations and 7670163 ideals in 1000000 cliques
  38. Sun May 12 00:04:24 2024 commencing in-memory singleton removal
  39. Sun May 12 00:04:26 2024 begin with 82145100 relations and 82035628 unique ideals
  40. Sun May 12 00:04:33 2024 reduce to 81454420 relations and 73664350 ideals in 11 passes
  41. Sun May 12 00:04:33 2024 max relations containing the same ideal: 113
  42. Sun May 12 00:04:51 2024 removing 6479429 relations and 5479429 ideals in 1000000 cliques
  43. Sun May 12 00:04:53 2024 commencing in-memory singleton removal
  44. Sun May 12 00:04:54 2024 begin with 74974991 relations and 73664350 unique ideals
  45. Sun May 12 00:05:00 2024 reduce to 74530402 relations and 67734357 ideals in 9 passes
  46. Sun May 12 00:05:00 2024 max relations containing the same ideal: 108
  47. Sun May 12 00:05:15 2024 removing 5807066 relations and 4807066 ideals in 1000000 cliques
  48. Sun May 12 00:05:17 2024 commencing in-memory singleton removal
  49. Sun May 12 00:05:18 2024 begin with 68723336 relations and 67734357 unique ideals
  50. Sun May 12 00:05:23 2024 reduce to 68328852 relations and 62527552 ideals in 9 passes
  51. Sun May 12 00:05:23 2024 max relations containing the same ideal: 104
  52. Sun May 12 00:05:38 2024 removing 5471670 relations and 4471670 ideals in 1000000 cliques
  53. Sun May 12 00:05:39 2024 commencing in-memory singleton removal
  54. Sun May 12 00:05:40 2024 begin with 62857182 relations and 62527552 unique ideals
  55. Sun May 12 00:05:45 2024 reduce to 62473187 relations and 57666586 ideals in 9 passes
  56. Sun May 12 00:05:45 2024 max relations containing the same ideal: 95
  57. Sun May 12 00:05:58 2024 removing 5276293 relations and 4276293 ideals in 1000000 cliques
  58. Sun May 12 00:05:59 2024 commencing in-memory singleton removal
  59. Sun May 12 00:06:00 2024 begin with 57196894 relations and 57666586 unique ideals
  60. Sun May 12 00:06:04 2024 reduce to 56803953 relations and 52991425 ideals in 9 passes
  61. Sun May 12 00:06:04 2024 max relations containing the same ideal: 88
  62. Sun May 12 00:06:16 2024 removing 5166624 relations and 4166624 ideals in 1000000 cliques
  63. Sun May 12 00:06:17 2024 commencing in-memory singleton removal
  64. Sun May 12 00:06:18 2024 begin with 51637329 relations and 52991425 unique ideals
  65. Sun May 12 00:06:22 2024 reduce to 51219996 relations and 48400726 ideals in 9 passes
  66. Sun May 12 00:06:22 2024 max relations containing the same ideal: 82
  67. Sun May 12 00:06:33 2024 removing 5113233 relations and 4113233 ideals in 1000000 cliques
  68. Sun May 12 00:06:34 2024 commencing in-memory singleton removal
  69. Sun May 12 00:06:35 2024 begin with 46106763 relations and 48400726 unique ideals
  70. Sun May 12 00:06:38 2024 reduce to 45647345 relations and 43820056 ideals in 10 passes
  71. Sun May 12 00:06:38 2024 max relations containing the same ideal: 77
  72. Sun May 12 00:06:48 2024 removing 3644421 relations and 2997243 ideals in 647178 cliques
  73. Sun May 12 00:06:49 2024 commencing in-memory singleton removal
  74. Sun May 12 00:06:50 2024 begin with 42002924 relations and 43820056 unique ideals
  75. Sun May 12 00:06:52 2024 reduce to 41750696 relations and 40567261 ideals in 8 passes
  76. Sun May 12 00:06:52 2024 max relations containing the same ideal: 73
  77. Sun May 12 00:07:04 2024 relations with 0 large ideals: 3532
  78. Sun May 12 00:07:04 2024 relations with 1 large ideals: 30151
  79. Sun May 12 00:07:04 2024 relations with 2 large ideals: 398354
  80. Sun May 12 00:07:04 2024 relations with 3 large ideals: 2207210
  81. Sun May 12 00:07:04 2024 relations with 4 large ideals: 6519387
  82. Sun May 12 00:07:04 2024 relations with 5 large ideals: 11195205
  83. Sun May 12 00:07:04 2024 relations with 6 large ideals: 11520964
  84. Sun May 12 00:07:04 2024 relations with 7+ large ideals: 9875893
  85. Sun May 12 00:07:04 2024 commencing 2-way merge
  86. Sun May 12 00:07:17 2024 reduce to 24373425 relation sets and 23189990 unique ideals
  87. Sun May 12 00:07:17 2024 commencing full merge
  88. Sun May 12 00:11:18 2024 memory use: 2590.8 MB
  89. Sun May 12 00:11:20 2024 found 11182929 cycles, need 11060190
  90. Sun May 12 00:11:22 2024 weight of 11060190 cycles is about 1106408684 (100.04/cycle)
  91. Sun May 12 00:11:22 2024 distribution of cycle lengths:
  92. Sun May 12 00:11:22 2024 1 relations: 1132885
  93. Sun May 12 00:11:22 2024 2 relations: 961202
  94. Sun May 12 00:11:22 2024 3 relations: 956056
  95. Sun May 12 00:11:22 2024 4 relations: 896341
  96. Sun May 12 00:11:22 2024 5 relations: 868752
  97. Sun May 12 00:11:22 2024 6 relations: 798947
  98. Sun May 12 00:11:22 2024 7 relations: 751941
  99. Sun May 12 00:11:22 2024 8 relations: 682154
  100. Sun May 12 00:11:22 2024 9 relations: 622853
  101. Sun May 12 00:11:22 2024 10+ relations: 3389059
  102. Sun May 12 00:11:22 2024 heaviest cycle: 26 relations
  103. Sun May 12 00:11:24 2024 commencing cycle optimization
  104. Sun May 12 00:11:36 2024 start with 81640410 relations
  105. Sun May 12 00:13:02 2024 pruned 2297205 relations
  106. Sun May 12 00:13:02 2024 memory use: 2514.3 MB
  107. Sun May 12 00:13:03 2024 distribution of cycle lengths:
  108. Sun May 12 00:13:03 2024 1 relations: 1132885
  109. Sun May 12 00:13:03 2024 2 relations: 984008
  110. Sun May 12 00:13:03 2024 3 relations: 989159
  111. Sun May 12 00:13:03 2024 4 relations: 921446
  112. Sun May 12 00:13:03 2024 5 relations: 894062
  113. Sun May 12 00:13:03 2024 6 relations: 819138
  114. Sun May 12 00:13:03 2024 7 relations: 769383
  115. Sun May 12 00:13:03 2024 8 relations: 693982
  116. Sun May 12 00:13:03 2024 9 relations: 632986
  117. Sun May 12 00:13:03 2024 10+ relations: 3223141
  118. Sun May 12 00:13:03 2024 heaviest cycle: 26 relations
  119. Sun May 12 00:13:12 2024 RelProcTime: 1217
  120. Sun May 12 00:13:14 2024
  121. ...
  122. Sun May 12 00:22:32 2024 commencing linear algebra
  123. Sun May 12 00:22:32 2024 using VBITS=256
  124. Sun May 12 00:22:33 2024 read 11053392 cycles
  125. Sun May 12 00:22:43 2024 cycles contain 40742399 unique relations
  126. Sun May 12 00:23:05 2024 read 40742399 relations
  127. Sun May 12 00:23:10 2024 using 20 quadratic characters above 4294917295
  128. Sun May 12 00:23:19 2024 building initial matrix
  129. Sun May 12 00:27:34 2024 memory use: 5470.4 MB
  130. Sun May 12 00:27:37 2024 read 11053392 cycles
  131. Sun May 12 00:27:37 2024 matrix is 11053206 x 11053392 (4476.2 MB) with weight 1370487325 (123.99/col)
  132. Sun May 12 00:27:37 2024 sparse part has weight 1051814959 (95.16/col)
  133. Sun May 12 00:28:11 2024 filtering completed in 1 passes
  134. Sun May 12 00:28:12 2024 matrix is 11053206 x 11053392 (4476.2 MB) with weight 1370487325 (123.99/col)
  135. Sun May 12 00:28:12 2024 sparse part has weight 1051814959 (95.16/col)
  136. Sun May 12 00:28:20 2024 matrix starts at (0, 0)
  137. Sun May 12 00:28:21 2024 matrix is 11053206 x 11053392 (4476.2 MB) with weight 1370487325 (123.99/col)
  138. Sun May 12 00:28:21 2024 sparse part has weight 1051814959 (95.16/col)
  139. Sun May 12 00:28:21 2024 saving the first 240 matrix rows for later
  140. Sun May 12 00:28:22 2024 matrix includes 256 packed rows
  141. Sun May 12 00:28:24 2024 matrix is 11052966 x 11053392 (4089.1 MB) with weight 953701379 (86.28/col)
  142. Sun May 12 00:28:24 2024 sparse part has weight 895074914 (80.98/col)
  143. Sun May 12 00:28:24 2024 using GPU 0 (NVIDIA GeForce RTX 4090)
  144. Sun May 12 00:28:24 2024 selected card has CUDA arch 8.9
  145. Sun May 12 00:29:12 2024 commencing Lanczos iteration
  146. Sun May 12 00:29:13 2024 memory use: 9611.8 MB
  147. Sun May 12 00:29:36 2024 linear algebra at 0.3%, ETA 2h11m
  148. Sun May 12 00:30:10 2024 checking every 80000 dimensions, checkpointing every 4960000 dimensions
  149. Sun May 12 02:45:32 2024 lanczos halted after 43308 iterations (dim = 11052965)
  150. Sun May 12 02:46:02 2024 recovered 28 nontrivial dependencies
  151. Sun May 12 02:46:02 2024 BLanczosTime: 8610
  152. Sun May 12 02:46:02 2024
  153. Sun May 12 02:46:02 2024 commencing square root phase
  154. Sun May 12 02:46:02 2024 handling dependencies 1 to 64
  155. Sun May 12 02:46:02 2024 reading relations for dependency 1
  156. Sun May 12 02:46:07 2024 read 5526917 cycles
  157. Sun May 12 02:46:12 2024 cycles contain 20372024 unique relations
  158. Sun May 12 02:47:34 2024 read 20372024 relations
  159. Sun May 12 02:48:21 2024 multiplying 20372024 relations
  160. Sun May 12 02:50:06 2024 multiply complete, coefficients have about 1151.92 million bits
  161. Sun May 12 02:50:08 2024 initial square root is modulo 146977
  162. Sun May 12 02:53:41 2024 sqrtTime: 459
  163. Sun May 12 02:53:41 2024 p70 factor: 9755652068831781988376392140791763242033638483979253312761514625333199
  164. Sun May 12 02:53:41 2024 p97 factor: 1709947489248845605360977824314136434209096271405647734955158105277932321268493283447379479062171
  165. Sun May 12 02:53:41 2024 elapsed time 02:31:09
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