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Oct 27th, 2022
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  1. Thu Oct 27 17:10:27 2022
  2. Thu Oct 27 17:10:27 2022
  3. Thu Oct 27 17:10:27 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Oct 27 17:10:27 2022 random seeds: 06fa0ee3 746f2d62
  5. Thu Oct 27 17:10:27 2022 factoring 554478876389019817888820351300381491083549199844230709374302304506748487301944343965315157111056746985147436692221506958954720498504397415355905398564191049 (156 digits)
  6. Thu Oct 27 17:10:28 2022 no P-1/P+1/ECM available, skipping
  7. Thu Oct 27 17:10:28 2022 commencing number field sieve (156-digit input)
  8. Thu Oct 27 17:10:28 2022 R0: -1703079119930370625594715676697
  9. Thu Oct 27 17:10:28 2022 R1: 12747282127319771
  10. Thu Oct 27 17:10:28 2022 A0: -114268181322565023924502376130662275680
  11. Thu Oct 27 17:10:28 2022 A1: 60163533687819305042291697301008
  12. Thu Oct 27 17:10:28 2022 A2: 26093559130234259215388128
  13. Thu Oct 27 17:10:28 2022 A3: -6835841321881688708
  14. Thu Oct 27 17:10:28 2022 A4: -969984555005
  15. Thu Oct 27 17:10:28 2022 A5: 38700
  16. Thu Oct 27 17:10:28 2022 skew 5851307.62, size 3.405e-15, alpha -6.496, combined = 2.332e-12 rroots = 5
  17. Thu Oct 27 17:10:28 2022
  18. Thu Oct 27 17:10:28 2022 commencing relation filtering
  19. Thu Oct 27 17:10:28 2022 setting target matrix density to 112.0
  20. Thu Oct 27 17:10:28 2022 estimated available RAM is 15954.6 MB
  21. Thu Oct 27 17:10:28 2022 commencing duplicate removal, pass 1
  22. Thu Oct 27 17:28:25 2022 found 2688758 hash collisions in 77829046 relations
  23. Thu Oct 27 17:29:15 2022 added 122066 free relations
  24. Thu Oct 27 17:29:15 2022 commencing duplicate removal, pass 2
  25. Thu Oct 27 17:30:21 2022 found 0 duplicates and 77951112 unique relations
  26. Thu Oct 27 17:30:21 2022 memory use: 253.2 MB
  27. Thu Oct 27 17:30:21 2022 reading ideals above 720000
  28. Thu Oct 27 17:30:21 2022 commencing singleton removal, initial pass
  29. Thu Oct 27 17:55:18 2022 memory use: 1506.0 MB
  30. Thu Oct 27 17:55:18 2022 reading all ideals from disk
  31. Thu Oct 27 17:55:22 2022 memory use: 2836.6 MB
  32. Thu Oct 27 17:56:04 2022 keeping 65598421 ideals with weight <= 200, target excess is 421063
  33. Thu Oct 27 17:56:54 2022 commencing in-memory singleton removal
  34. Thu Oct 27 17:57:29 2022 begin with 77951112 relations and 65598421 unique ideals
  35. Thu Oct 27 18:03:39 2022 reduce to 54257159 relations and 39878795 ideals in 13 passes
  36. Thu Oct 27 18:03:39 2022 max relations containing the same ideal: 168
  37. Thu Oct 27 18:05:38 2022 removing 7051262 relations and 5051262 ideals in 2000000 cliques
  38. Thu Oct 27 18:05:43 2022 commencing in-memory singleton removal
  39. Thu Oct 27 18:06:04 2022 begin with 47205897 relations and 39878795 unique ideals
  40. Thu Oct 27 18:08:34 2022 reduce to 46499508 relations and 34089471 ideals in 7 passes
  41. Thu Oct 27 18:08:34 2022 max relations containing the same ideal: 154
  42. Thu Oct 27 18:10:10 2022 removing 5792338 relations and 3792338 ideals in 2000000 cliques
  43. Thu Oct 27 18:10:15 2022 commencing in-memory singleton removal
  44. Thu Oct 27 18:10:31 2022 begin with 40707170 relations and 34089471 unique ideals
  45. Thu Oct 27 18:12:36 2022 reduce to 40216231 relations and 29785803 ideals in 7 passes
  46. Thu Oct 27 18:12:36 2022 max relations containing the same ideal: 141
  47. Thu Oct 27 18:13:59 2022 removing 5453043 relations and 3453043 ideals in 2000000 cliques
  48. Thu Oct 27 18:14:04 2022 commencing in-memory singleton removal
  49. Thu Oct 27 18:14:17 2022 begin with 34763188 relations and 29785803 unique ideals
  50. Thu Oct 27 18:15:45 2022 reduce to 34316913 relations and 25866943 ideals in 6 passes
  51. Thu Oct 27 18:15:45 2022 max relations containing the same ideal: 132
  52. Thu Oct 27 18:16:55 2022 removing 5270389 relations and 3270389 ideals in 2000000 cliques
  53. Thu Oct 27 18:16:59 2022 commencing in-memory singleton removal
  54. Thu Oct 27 18:17:10 2022 begin with 29046524 relations and 25866943 unique ideals
  55. Thu Oct 27 18:18:31 2022 reduce to 28600374 relations and 22128431 ideals in 7 passes
  56. Thu Oct 27 18:18:32 2022 max relations containing the same ideal: 113
  57. Thu Oct 27 18:19:28 2022 removing 5145783 relations and 3145783 ideals in 2000000 cliques
  58. Thu Oct 27 18:19:32 2022 commencing in-memory singleton removal
  59. Thu Oct 27 18:19:40 2022 begin with 23454591 relations and 22128431 unique ideals
  60. Thu Oct 27 18:20:52 2022 reduce to 22982267 relations and 18482842 ideals in 8 passes
  61. Thu Oct 27 18:20:52 2022 max relations containing the same ideal: 96
  62. Thu Oct 27 18:21:35 2022 removing 5051631 relations and 3051631 ideals in 2000000 cliques
  63. Thu Oct 27 18:21:38 2022 commencing in-memory singleton removal
  64. Thu Oct 27 18:21:44 2022 begin with 17930636 relations and 18482842 unique ideals
  65. Thu Oct 27 18:22:31 2022 reduce to 17395768 relations and 14859205 ideals in 7 passes
  66. Thu Oct 27 18:22:31 2022 max relations containing the same ideal: 81
  67. Thu Oct 27 18:23:03 2022 removing 4966330 relations and 2966330 ideals in 2000000 cliques
  68. Thu Oct 27 18:23:06 2022 commencing in-memory singleton removal
  69. Thu Oct 27 18:23:10 2022 begin with 12429438 relations and 14859205 unique ideals
  70. Thu Oct 27 18:23:42 2022 reduce to 11743680 relations and 11144934 ideals in 8 passes
  71. Thu Oct 27 18:23:42 2022 max relations containing the same ideal: 62
  72. Thu Oct 27 18:24:00 2022 removing 483038 relations and 372726 ideals in 110312 cliques
  73. Thu Oct 27 18:24:03 2022 commencing in-memory singleton removal
  74. Thu Oct 27 18:24:06 2022 begin with 11260642 relations and 11144934 unique ideals
  75. Thu Oct 27 18:24:32 2022 reduce to 11240355 relations and 10751662 ideals in 7 passes
  76. Thu Oct 27 18:24:32 2022 max relations containing the same ideal: 59
  77. Thu Oct 27 18:24:54 2022 relations with 0 large ideals: 1293
  78. Thu Oct 27 18:24:54 2022 relations with 1 large ideals: 10386
  79. Thu Oct 27 18:24:54 2022 relations with 2 large ideals: 128150
  80. Thu Oct 27 18:24:54 2022 relations with 3 large ideals: 674790
  81. Thu Oct 27 18:24:54 2022 relations with 4 large ideals: 1848551
  82. Thu Oct 27 18:24:54 2022 relations with 5 large ideals: 2945568
  83. Thu Oct 27 18:24:54 2022 relations with 6 large ideals: 2923602
  84. Thu Oct 27 18:24:54 2022 relations with 7+ large ideals: 2708015
  85. Thu Oct 27 18:24:54 2022 commencing 2-way merge
  86. Thu Oct 27 18:25:15 2022 reduce to 8013286 relation sets and 7524593 unique ideals
  87. Thu Oct 27 18:25:15 2022 commencing full merge
  88. Thu Oct 27 18:32:38 2022 memory use: 901.2 MB
  89. Thu Oct 27 18:32:41 2022 found 3603878 cycles, need 3554793
  90. Thu Oct 27 18:32:44 2022 weight of 3554793 cycles is about 398696276 (112.16/cycle)
  91. Thu Oct 27 18:32:44 2022 distribution of cycle lengths:
  92. Thu Oct 27 18:32:44 2022 1 relations: 103725
  93. Thu Oct 27 18:32:44 2022 2 relations: 207720
  94. Thu Oct 27 18:32:44 2022 3 relations: 276210
  95. Thu Oct 27 18:32:44 2022 4 relations: 302472
  96. Thu Oct 27 18:32:44 2022 5 relations: 320236
  97. Thu Oct 27 18:32:44 2022 6 relations: 313535
  98. Thu Oct 27 18:32:44 2022 7 relations: 300087
  99. Thu Oct 27 18:32:44 2022 8 relations: 272986
  100. Thu Oct 27 18:32:44 2022 9 relations: 244954
  101. Thu Oct 27 18:32:44 2022 10+ relations: 1212868
  102. Thu Oct 27 18:32:44 2022 heaviest cycle: 26 relations
  103. Thu Oct 27 18:32:48 2022 commencing cycle optimization
  104. Thu Oct 27 18:33:15 2022 start with 29178037 relations
  105. Thu Oct 27 18:36:05 2022 pruned 1595278 relations
  106. Thu Oct 27 18:36:06 2022 memory use: 765.7 MB
  107. Thu Oct 27 18:36:06 2022 distribution of cycle lengths:
  108. Thu Oct 27 18:36:06 2022 1 relations: 103725
  109. Thu Oct 27 18:36:06 2022 2 relations: 215213
  110. Thu Oct 27 18:36:06 2022 3 relations: 292176
  111. Thu Oct 27 18:36:06 2022 4 relations: 320211
  112. Thu Oct 27 18:36:06 2022 5 relations: 342172
  113. Thu Oct 27 18:36:06 2022 6 relations: 334224
  114. Thu Oct 27 18:36:06 2022 7 relations: 318711
  115. Thu Oct 27 18:36:06 2022 8 relations: 286521
  116. Thu Oct 27 18:36:06 2022 9 relations: 254455
  117. Thu Oct 27 18:36:06 2022 10+ relations: 1087385
  118. Thu Oct 27 18:36:06 2022 heaviest cycle: 26 relations
  119. Thu Oct 27 18:36:28 2022 RelProcTime: 5160
  120. Thu Oct 27 18:36:28 2022
  121. Thu Oct 27 18:36:28 2022 commencing linear algebra
  122. Thu Oct 27 18:36:28 2022 using VBITS=512
  123. Thu Oct 27 18:36:29 2022 read 3554793 cycles
  124. Thu Oct 27 18:36:51 2022 cycles contain 11015206 unique relations
  125. Thu Oct 27 18:38:46 2022 read 11015206 relations
  126. Thu Oct 27 18:39:40 2022 using 20 quadratic characters above 4294917295
  127. Thu Oct 27 18:40:42 2022 building initial matrix
  128. Thu Oct 27 18:48:56 2022 memory use: 1524.3 MB
  129. Thu Oct 27 18:49:01 2022 read 3554793 cycles
  130. Thu Oct 27 18:49:03 2022 matrix is 3554614 x 3554793 (1562.1 MB) with weight 475898875 (133.88/col)
  131. Thu Oct 27 18:49:03 2022 sparse part has weight 366826702 (103.19/col)
  132. Thu Oct 27 18:51:22 2022 filtering completed in 2 passes
  133. Thu Oct 27 18:51:24 2022 matrix is 3554339 x 3554516 (1562.0 MB) with weight 475882933 (133.88/col)
  134. Thu Oct 27 18:51:24 2022 sparse part has weight 366819549 (103.20/col)
  135. Thu Oct 27 18:51:51 2022 matrix starts at (0, 0)
  136. Thu Oct 27 18:51:53 2022 matrix is 3554339 x 3554516 (1562.0 MB) with weight 475882933 (133.88/col)
  137. Thu Oct 27 18:51:53 2022 sparse part has weight 366819549 (103.20/col)
  138. Thu Oct 27 18:51:53 2022 saving the first 496 matrix rows for later
  139. Thu Oct 27 18:51:56 2022 matrix includes 512 packed rows
  140. Thu Oct 27 18:52:02 2022 matrix is 3553843 x 3554516 (1434.5 MB) with weight 311424148 (87.61/col)
  141. Thu Oct 27 18:52:02 2022 sparse part has weight 290747182 (81.80/col)
  142. Thu Oct 27 18:52:02 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  143. Thu Oct 27 18:52:02 2022 selected card has CUDA arch 7.5
  144. Thu Oct 27 18:53:11 2022 commencing Lanczos iteration
  145. Thu Oct 27 18:53:12 2022 memory use: 3981.0 MB
  146. Thu Oct 27 18:53:47 2022 linear algebra at 0.4%, ETA 2h10m
  147. Thu Oct 27 18:53:48 2022 checkpointing every 1640000 dimensions
  148. Thu Oct 27 21:03:18 2022 lanczos halted after 6953 iterations (dim = 3553842)
  149. Thu Oct 27 21:04:00 2022 recovered 31 nontrivial dependencies
  150. Thu Oct 27 21:04:00 2022 BLanczosTime: 8852
  151. Thu Oct 27 21:04:00 2022
  152. Thu Oct 27 21:04:00 2022 commencing square root phase
  153. Thu Oct 27 21:04:00 2022 handling dependencies 1 to 64
  154. Thu Oct 27 21:04:00 2022 reading relations for dependency 1
  155. Thu Oct 27 21:04:00 2022 read 1778450 cycles
  156. Thu Oct 27 21:04:03 2022 cycles contain 5507788 unique relations
  157. Thu Oct 27 21:04:32 2022 read 5507788 relations
  158. Thu Oct 27 21:04:52 2022 multiplying 5507788 relations
  159. Thu Oct 27 21:08:45 2022 multiply complete, coefficients have about 287.46 million bits
  160. Thu Oct 27 21:08:46 2022 initial square root is modulo 143909
  161. Thu Oct 27 21:16:49 2022 GCD is 1, no factor found
  162. Thu Oct 27 21:16:49 2022 reading relations for dependency 2
  163. Thu Oct 27 21:16:50 2022 read 1777544 cycles
  164. Thu Oct 27 21:17:02 2022 cycles contain 5509854 unique relations
  165. Thu Oct 27 21:18:09 2022 read 5509854 relations
  166. Thu Oct 27 21:19:34 2022 multiplying 5509854 relations
  167. Thu Oct 27 21:31:22 2022 multiply complete, coefficients have about 287.56 million bits
  168. Thu Oct 27 21:31:26 2022 initial square root is modulo 144511
  169. Thu Oct 27 21:46:36 2022 sqrtTime: 2556
  170. Thu Oct 27 21:46:36 2022 p77 factor: 50658093029934467278908179504436165447874645246963934783475300782793807041231
  171. Thu Oct 27 21:46:36 2022 p80 factor: 10945514195754895103239880460285490079910024915219233922555327195109568576779879
  172. Thu Oct 27 21:46:36 2022 elapsed time 04:36:09
  173.  
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