kyleaskine

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Jun 5th, 2026
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  1. Fri Jun 5 07:08:24 2026
  2. Fri Jun 5 07:08:24 2026
  3. Fri Jun 5 07:08:24 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jun 5 07:08:24 2026 random seeds: b6dc4c3f 37d1eff5
  5. Fri Jun 5 07:08:24 2026 Using 8 OpenMP threads
  6. Fri Jun 5 07:08:24 2026 factoring 2536978018873517925466452953764883351914800746440156174619745905482127753895506411491931105508677871905728539970351686368430782248666602384863389931320569061419481205914404256749617860443631 (190 digits)
  7. Fri Jun 5 07:08:24 2026 no P-1/P+1/ECM available, skipping
  8. Fri Jun 5 07:08:24 2026 commencing number field sieve (190-digit input)
  9. Fri Jun 5 07:08:24 2026 R0: 6816524651985907089085425208582937561953308736407919
  10. Fri Jun 5 07:08:24 2026 R1: -1
  11. Fri Jun 5 07:08:24 2026 A0: 1
  12. Fri Jun 5 07:08:24 2026 A1: 1
  13. Fri Jun 5 07:08:24 2026 A2: 1
  14. Fri Jun 5 07:08:24 2026 A3: 1
  15. Fri Jun 5 07:08:24 2026 A4: 1
  16. Fri Jun 5 07:08:24 2026 skew 1.93, size 3.781e-21, alpha 1.694, combined = 1.247e-12 rroots = 0
  17. Fri Jun 5 07:08:24 2026
  18. Fri Jun 5 07:08:24 2026 commencing relation filtering
  19. Fri Jun 5 07:08:24 2026 estimated available RAM is 31872.1 MB
  20. Fri Jun 5 07:08:24 2026 commencing duplicate removal, pass 1
  21. Fri Jun 5 07:08:45 2026 error -1 reading relation 21365760
  22. Fri Jun 5 07:09:07 2026 error -1 reading relation 49016328
  23. Fri Jun 5 07:09:28 2026 error -1 reading relation 75695328
  24. Fri Jun 5 07:09:34 2026 error -1 reading relation 83822875
  25. Fri Jun 5 07:09:40 2026 error -1 reading relation 90632242
  26. Fri Jun 5 07:09:41 2026 error -1 reading relation 91979158
  27. Fri Jun 5 07:10:00 2026 error -1 reading relation 118809902
  28. Fri Jun 5 07:10:07 2026 skipped 46 malformed relations
  29. Fri Jun 5 07:10:07 2026 found 15081179 hash collisions in 127956319 relations
  30. Fri Jun 5 07:10:11 2026 added 3657737 free relations
  31. Fri Jun 5 07:10:11 2026 commencing duplicate removal, pass 2
  32. Fri Jun 5 07:10:39 2026 found 10370687 duplicates and 121243369 unique relations
  33. Fri Jun 5 07:10:39 2026 memory use: 660.8 MB
  34. Fri Jun 5 07:10:39 2026 reading ideals above 720000
  35. Fri Jun 5 07:10:39 2026 commencing singleton removal, initial pass
  36. Fri Jun 5 07:13:41 2026 memory use: 3012.0 MB
  37. Fri Jun 5 07:13:41 2026 reading all ideals from disk
  38. Fri Jun 5 07:13:43 2026 memory use: 5435.7 MB
  39. Fri Jun 5 07:13:51 2026 keeping 115659680 ideals with weight <= 200, target excess is 615150
  40. Fri Jun 5 07:13:58 2026 commencing in-memory singleton removal
  41. Fri Jun 5 07:14:01 2026 begin with 121243369 relations and 115659680 unique ideals
  42. Fri Jun 5 07:14:15 2026 reduce to 65766523 relations and 53159717 ideals in 15 passes
  43. Fri Jun 5 07:14:15 2026 max relations containing the same ideal: 139
  44. Fri Jun 5 07:14:31 2026 removing 9475488 relations and 7475488 ideals in 2000000 cliques
  45. Fri Jun 5 07:14:33 2026 commencing in-memory singleton removal
  46. Fri Jun 5 07:14:34 2026 begin with 56291035 relations and 53159717 unique ideals
  47. Fri Jun 5 07:14:40 2026 reduce to 55169110 relations and 44517518 ideals in 9 passes
  48. Fri Jun 5 07:14:40 2026 max relations containing the same ideal: 129
  49. Fri Jun 5 07:14:53 2026 removing 7479720 relations and 5479720 ideals in 2000000 cliques
  50. Fri Jun 5 07:14:55 2026 commencing in-memory singleton removal
  51. Fri Jun 5 07:14:56 2026 begin with 47689390 relations and 44517518 unique ideals
  52. Fri Jun 5 07:15:00 2026 reduce to 46896586 relations and 38215172 ideals in 9 passes
  53. Fri Jun 5 07:15:00 2026 max relations containing the same ideal: 114
  54. Fri Jun 5 07:15:12 2026 removing 6883299 relations and 4883299 ideals in 2000000 cliques
  55. Fri Jun 5 07:15:13 2026 commencing in-memory singleton removal
  56. Fri Jun 5 07:15:14 2026 begin with 40013287 relations and 38215172 unique ideals
  57. Fri Jun 5 07:15:18 2026 reduce to 39288018 relations and 32576362 ideals in 9 passes
  58. Fri Jun 5 07:15:18 2026 max relations containing the same ideal: 97
  59. Fri Jun 5 07:15:27 2026 removing 6550874 relations and 4550874 ideals in 2000000 cliques
  60. Fri Jun 5 07:15:29 2026 commencing in-memory singleton removal
  61. Fri Jun 5 07:15:29 2026 begin with 32737144 relations and 32576362 unique ideals
  62. Fri Jun 5 07:15:32 2026 reduce to 32013396 relations and 27266987 ideals in 8 passes
  63. Fri Jun 5 07:15:32 2026 max relations containing the same ideal: 86
  64. Fri Jun 5 07:15:40 2026 removing 6310309 relations and 4310309 ideals in 2000000 cliques
  65. Fri Jun 5 07:15:41 2026 commencing in-memory singleton removal
  66. Fri Jun 5 07:15:41 2026 begin with 25703087 relations and 27266987 unique ideals
  67. Fri Jun 5 07:15:43 2026 reduce to 24943789 relations and 22153169 ideals in 8 passes
  68. Fri Jun 5 07:15:43 2026 max relations containing the same ideal: 75
  69. Fri Jun 5 07:15:50 2026 removing 6073878 relations and 4073878 ideals in 2000000 cliques
  70. Fri Jun 5 07:15:51 2026 commencing in-memory singleton removal
  71. Fri Jun 5 07:15:51 2026 begin with 18869911 relations and 22153169 unique ideals
  72. Fri Jun 5 07:15:52 2026 reduce to 18028571 relations and 17176338 ideals in 8 passes
  73. Fri Jun 5 07:15:52 2026 max relations containing the same ideal: 59
  74. Fri Jun 5 07:15:57 2026 removing 701269 relations and 562611 ideals in 138658 cliques
  75. Fri Jun 5 07:15:57 2026 commencing in-memory singleton removal
  76. Fri Jun 5 07:15:57 2026 begin with 17327302 relations and 17176338 unique ideals
  77. Fri Jun 5 07:15:58 2026 reduce to 17310175 relations and 16596471 ideals in 5 passes
  78. Fri Jun 5 07:15:58 2026 max relations containing the same ideal: 59
  79. Fri Jun 5 07:16:04 2026 relations with 0 large ideals: 50172
  80. Fri Jun 5 07:16:04 2026 relations with 1 large ideals: 13382
  81. Fri Jun 5 07:16:04 2026 relations with 2 large ideals: 156244
  82. Fri Jun 5 07:16:04 2026 relations with 3 large ideals: 877892
  83. Fri Jun 5 07:16:04 2026 relations with 4 large ideals: 2615640
  84. Fri Jun 5 07:16:04 2026 relations with 5 large ideals: 5025638
  85. Fri Jun 5 07:16:04 2026 relations with 6 large ideals: 4449062
  86. Fri Jun 5 07:16:04 2026 relations with 7+ large ideals: 4122145
  87. Fri Jun 5 07:16:04 2026 commencing 2-way merge
  88. Fri Jun 5 07:16:09 2026 reduce to 11450581 relation sets and 10736877 unique ideals
  89. Fri Jun 5 07:16:09 2026 commencing full merge
  90. Fri Jun 5 07:18:19 2026 memory use: 1356.6 MB
  91. Fri Jun 5 07:18:20 2026 found 5696836 cycles, need 5607077
  92. Fri Jun 5 07:18:21 2026 weight of 5607077 cycles is about 504993403 (90.06/cycle)
  93. Fri Jun 5 07:18:21 2026 distribution of cycle lengths:
  94. Fri Jun 5 07:18:21 2026 1 relations: 267398
  95. Fri Jun 5 07:18:21 2026 2 relations: 405896
  96. Fri Jun 5 07:18:21 2026 3 relations: 489306
  97. Fri Jun 5 07:18:21 2026 4 relations: 512386
  98. Fri Jun 5 07:18:21 2026 5 relations: 514198
  99. Fri Jun 5 07:18:21 2026 6 relations: 498604
  100. Fri Jun 5 07:18:21 2026 7 relations: 469642
  101. Fri Jun 5 07:18:21 2026 8 relations: 429358
  102. Fri Jun 5 07:18:21 2026 9 relations: 381685
  103. Fri Jun 5 07:18:21 2026 10+ relations: 1638604
  104. Fri Jun 5 07:18:21 2026 heaviest cycle: 27 relations
  105. Fri Jun 5 07:18:22 2026 commencing cycle optimization
  106. Fri Jun 5 07:18:28 2026 start with 41715324 relations
  107. Fri Jun 5 07:19:14 2026 pruned 1679297 relations
  108. Fri Jun 5 07:19:14 2026 memory use: 1152.1 MB
  109. Fri Jun 5 07:19:14 2026 distribution of cycle lengths:
  110. Fri Jun 5 07:19:14 2026 1 relations: 267398
  111. Fri Jun 5 07:19:14 2026 2 relations: 414941
  112. Fri Jun 5 07:19:14 2026 3 relations: 510404
  113. Fri Jun 5 07:19:14 2026 4 relations: 534096
  114. Fri Jun 5 07:19:14 2026 5 relations: 540650
  115. Fri Jun 5 07:19:14 2026 6 relations: 521170
  116. Fri Jun 5 07:19:14 2026 7 relations: 491127
  117. Fri Jun 5 07:19:14 2026 8 relations: 444356
  118. Fri Jun 5 07:19:14 2026 9 relations: 391856
  119. Fri Jun 5 07:19:14 2026 10+ relations: 1491079
  120. Fri Jun 5 07:19:14 2026 heaviest cycle: 26 relations
  121. Fri Jun 5 07:19:18 2026 RelProcTime: 654
  122. Fri Jun 5 07:19:19 2026
  123. Fri Jun 5 07:19:19 2026 commencing linear algebra
  124. Fri Jun 5 07:19:19 2026 using VBITS=64
  125. Fri Jun 5 07:19:19 2026 read 5607077 cycles
  126. Fri Jun 5 07:19:24 2026 cycles contain 16951182 unique relations
  127. Fri Jun 5 07:19:35 2026 read 16951182 relations
  128. Fri Jun 5 07:19:39 2026 using 20 quadratic characters above 4294917295
  129. Fri Jun 5 07:19:46 2026 building initial matrix
  130. Fri Jun 5 07:21:23 2026 memory use: 2137.0 MB
  131. Fri Jun 5 07:21:24 2026 read 5607077 cycles
  132. Fri Jun 5 07:21:24 2026 matrix is 5606900 x 5607077 (2070.0 MB) with weight 599111756 (106.85/col)
  133. Fri Jun 5 07:21:24 2026 sparse part has weight 480972755 (85.78/col)
  134. Fri Jun 5 07:21:53 2026 filtering completed in 2 passes
  135. Fri Jun 5 07:21:54 2026 matrix is 5606380 x 5606557 (2070.0 MB) with weight 599094663 (106.86/col)
  136. Fri Jun 5 07:21:54 2026 sparse part has weight 480966411 (85.79/col)
  137. Fri Jun 5 07:22:01 2026 matrix starts at (0, 0)
  138. Fri Jun 5 07:22:02 2026 matrix is 5606380 x 5606557 (2070.0 MB) with weight 599094663 (106.86/col)
  139. Fri Jun 5 07:22:02 2026 sparse part has weight 480966411 (85.79/col)
  140. Fri Jun 5 07:22:02 2026 saving the first 48 matrix rows for later
  141. Fri Jun 5 07:22:02 2026 matrix includes 64 packed rows
  142. Fri Jun 5 07:22:03 2026 matrix is 5606332 x 5606557 (1976.5 MB) with weight 498471409 (88.91/col)
  143. Fri Jun 5 07:22:03 2026 sparse part has weight 462063502 (82.41/col)
  144. Fri Jun 5 07:22:03 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  145. Fri Jun 5 07:22:03 2026 selected card has CUDA arch 8.6
  146. Fri Jun 5 07:23:03 2026 commencing Lanczos iteration
  147. Fri Jun 5 07:23:03 2026 memory use: 3910.2 MB
  148. Fri Jun 5 07:23:35 2026 checking every 30000 dimensions, checkpointing every 2190000 dimensions
  149. Fri Jun 5 07:23:53 2026 linear algebra at 0.5%, ETA 2h33m
  150. Fri Jun 5 09:53:04 2026 lanczos halted after 88658 iterations (dim = 5606332)
  151. Fri Jun 5 09:53:07 2026 recovered 38 nontrivial dependencies
  152. Fri Jun 5 09:53:07 2026 BLanczosTime: 9228
  153. Fri Jun 5 09:53:07 2026
  154. Fri Jun 5 09:53:07 2026 commencing square root phase
  155. Fri Jun 5 09:53:07 2026 reading relations for dependency 1
  156. Fri Jun 5 09:53:11 2026 read 2803093 cycles
  157. Fri Jun 5 09:53:13 2026 cycles contain 8471912 unique relations
  158. Fri Jun 5 09:54:01 2026 read 8471912 relations
  159. Fri Jun 5 09:54:18 2026 multiplying 8471912 relations
  160. Fri Jun 5 09:54:32 2026 multiply complete, coefficients have about 214.73 million bits
  161. Fri Jun 5 09:54:32 2026 initial square root is modulo 50813957
  162. Fri Jun 5 09:55:00 2026 sqrtTime: 113
  163. Fri Jun 5 09:55:00 2026 p94 factor: 1134227043695618492059863770040736679465556094762134354899213799469898412232054346329927100081
  164. Fri Jun 5 09:55:00 2026 p97 factor: 2236746190257778850612973507508679563870501102695754101552917457456333687055710657435398729979551
  165. Fri Jun 5 09:55:00 2026 elapsed time 02:46:36
  166.  
Tags: math
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