kyleaskine

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Jun 3rd, 2026
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  1. Wed Jun 3 07:17:01 2026
  2. Wed Jun 3 07:17:01 2026
  3. Wed Jun 3 07:17:01 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jun 3 07:17:01 2026 random seeds: 4512c371 1a31f4f4
  5. Wed Jun 3 07:17:01 2026 Using 8 OpenMP threads
  6. Wed Jun 3 07:17:01 2026 factoring 411237599775087089365732751174560911865803663786483976225201994127353369984690919309591025053789917169193223872288498040037253375562152092177243613584743497 (156 digits)
  7. Wed Jun 3 07:17:01 2026 no P-1/P+1/ECM available, skipping
  8. Wed Jun 3 07:17:01 2026 commencing number field sieve (156-digit input)
  9. Wed Jun 3 07:17:01 2026 R0: -3181774203879186368242682986376
  10. Wed Jun 3 07:17:01 2026 R1: 73882364438890296223
  11. Wed Jun 3 07:17:01 2026 A0: 531453613101917081168479100640342374130
  12. Wed Jun 3 07:17:01 2026 A1: 103428883175243294708162663281901
  13. Wed Jun 3 07:17:01 2026 A2: -27001926979167977124157854
  14. Wed Jun 3 07:17:01 2026 A3: -4033882979462016995
  15. Wed Jun 3 07:17:01 2026 A4: 281704943118
  16. Wed Jun 3 07:17:01 2026 A5: 7560
  17. Wed Jun 3 07:17:01 2026 skew 9160325.62, size 5.349e-15, alpha -7.816, combined = 3.107e-12 rroots = 5
  18. Wed Jun 3 07:17:01 2026
  19. Wed Jun 3 07:17:01 2026 commencing relation filtering
  20. Wed Jun 3 07:17:01 2026 estimated available RAM is 31872.1 MB
  21. Wed Jun 3 07:17:01 2026 commencing duplicate removal, pass 1
  22. Wed Jun 3 07:17:02 2026 error -1 reading relation 157584
  23. Wed Jun 3 07:17:22 2026 error -1 reading relation 23837560
  24. Wed Jun 3 07:17:30 2026 error -1 reading relation 32928284
  25. Wed Jun 3 07:17:30 2026 error -1 reading relation 33086792
  26. Wed Jun 3 07:17:31 2026 error -1 reading relation 34765612
  27. Wed Jun 3 07:17:34 2026 error -15 reading relation 38293889
  28. Wed Jun 3 07:17:58 2026 skipped 20 malformed relations
  29. Wed Jun 3 07:17:58 2026 found 9792865 hash collisions in 66857554 relations
  30. Wed Jun 3 07:18:12 2026 added 122562 free relations
  31. Wed Jun 3 07:18:12 2026 commencing duplicate removal, pass 2
  32. Wed Jun 3 07:18:27 2026 found 9234058 duplicates and 57746058 unique relations
  33. Wed Jun 3 07:18:27 2026 memory use: 394.4 MB
  34. Wed Jun 3 07:18:27 2026 reading ideals above 720000
  35. Wed Jun 3 07:18:27 2026 commencing singleton removal, initial pass
  36. Wed Jun 3 07:19:48 2026 memory use: 1506.0 MB
  37. Wed Jun 3 07:19:48 2026 reading all ideals from disk
  38. Wed Jun 3 07:19:49 2026 memory use: 2503.2 MB
  39. Wed Jun 3 07:19:52 2026 keeping 59320434 ideals with weight <= 200, target excess is 314528
  40. Wed Jun 3 07:19:54 2026 commencing in-memory singleton removal
  41. Wed Jun 3 07:19:55 2026 begin with 57746058 relations and 59320434 unique ideals
  42. Wed Jun 3 07:20:02 2026 reduce to 27063793 relations and 24391381 ideals in 19 passes
  43. Wed Jun 3 07:20:02 2026 max relations containing the same ideal: 123
  44. Wed Jun 3 07:20:08 2026 removing 3013681 relations and 2613681 ideals in 400000 cliques
  45. Wed Jun 3 07:20:09 2026 commencing in-memory singleton removal
  46. Wed Jun 3 07:20:09 2026 begin with 24050112 relations and 24391381 unique ideals
  47. Wed Jun 3 07:20:11 2026 reduce to 23801083 relations and 21523897 ideals in 8 passes
  48. Wed Jun 3 07:20:11 2026 max relations containing the same ideal: 115
  49. Wed Jun 3 07:20:16 2026 removing 2267783 relations and 1867783 ideals in 400000 cliques
  50. Wed Jun 3 07:20:17 2026 commencing in-memory singleton removal
  51. Wed Jun 3 07:20:17 2026 begin with 21533300 relations and 21523897 unique ideals
  52. Wed Jun 3 07:20:19 2026 reduce to 21368838 relations and 19488893 ideals in 9 passes
  53. Wed Jun 3 07:20:19 2026 max relations containing the same ideal: 108
  54. Wed Jun 3 07:20:24 2026 removing 2037413 relations and 1637413 ideals in 400000 cliques
  55. Wed Jun 3 07:20:24 2026 commencing in-memory singleton removal
  56. Wed Jun 3 07:20:24 2026 begin with 19331425 relations and 19488893 unique ideals
  57. Wed Jun 3 07:20:26 2026 reduce to 19183996 relations and 17701599 ideals in 8 passes
  58. Wed Jun 3 07:20:26 2026 max relations containing the same ideal: 101
  59. Wed Jun 3 07:20:30 2026 removing 1917109 relations and 1517109 ideals in 400000 cliques
  60. Wed Jun 3 07:20:30 2026 commencing in-memory singleton removal
  61. Wed Jun 3 07:20:31 2026 begin with 17266887 relations and 17701599 unique ideals
  62. Wed Jun 3 07:20:32 2026 reduce to 17124577 relations and 16039630 ideals in 8 passes
  63. Wed Jun 3 07:20:32 2026 max relations containing the same ideal: 92
  64. Wed Jun 3 07:20:36 2026 removing 1844009 relations and 1444009 ideals in 400000 cliques
  65. Wed Jun 3 07:20:36 2026 commencing in-memory singleton removal
  66. Wed Jun 3 07:20:36 2026 begin with 15280568 relations and 16039630 unique ideals
  67. Wed Jun 3 07:20:37 2026 reduce to 15133715 relations and 14445853 ideals in 8 passes
  68. Wed Jun 3 07:20:37 2026 max relations containing the same ideal: 85
  69. Wed Jun 3 07:20:41 2026 removing 1514387 relations and 1191378 ideals in 323009 cliques
  70. Wed Jun 3 07:20:41 2026 commencing in-memory singleton removal
  71. Wed Jun 3 07:20:41 2026 begin with 13619328 relations and 14445853 unique ideals
  72. Wed Jun 3 07:20:42 2026 reduce to 13513390 relations and 13146635 ideals in 8 passes
  73. Wed Jun 3 07:20:42 2026 max relations containing the same ideal: 79
  74. Wed Jun 3 07:20:46 2026 relations with 0 large ideals: 1119
  75. Wed Jun 3 07:20:46 2026 relations with 1 large ideals: 3999
  76. Wed Jun 3 07:20:46 2026 relations with 2 large ideals: 60228
  77. Wed Jun 3 07:20:46 2026 relations with 3 large ideals: 408018
  78. Wed Jun 3 07:20:46 2026 relations with 4 large ideals: 1459118
  79. Wed Jun 3 07:20:46 2026 relations with 5 large ideals: 3031306
  80. Wed Jun 3 07:20:46 2026 relations with 6 large ideals: 3826352
  81. Wed Jun 3 07:20:46 2026 relations with 7+ large ideals: 4723250
  82. Wed Jun 3 07:20:46 2026 commencing 2-way merge
  83. Wed Jun 3 07:20:51 2026 reduce to 8208439 relation sets and 7841684 unique ideals
  84. Wed Jun 3 07:20:51 2026 commencing full merge
  85. Wed Jun 3 07:22:09 2026 memory use: 990.9 MB
  86. Wed Jun 3 07:22:09 2026 found 4041062 cycles, need 3993884
  87. Wed Jun 3 07:22:10 2026 weight of 3993884 cycles is about 359757831 (90.08/cycle)
  88. Wed Jun 3 07:22:10 2026 distribution of cycle lengths:
  89. Wed Jun 3 07:22:10 2026 1 relations: 344207
  90. Wed Jun 3 07:22:10 2026 2 relations: 374758
  91. Wed Jun 3 07:22:10 2026 3 relations: 389368
  92. Wed Jun 3 07:22:10 2026 4 relations: 372099
  93. Wed Jun 3 07:22:10 2026 5 relations: 357811
  94. Wed Jun 3 07:22:10 2026 6 relations: 329979
  95. Wed Jun 3 07:22:10 2026 7 relations: 304814
  96. Wed Jun 3 07:22:10 2026 8 relations: 272951
  97. Wed Jun 3 07:22:10 2026 9 relations: 241477
  98. Wed Jun 3 07:22:10 2026 10+ relations: 1006420
  99. Wed Jun 3 07:22:10 2026 heaviest cycle: 23 relations
  100. Wed Jun 3 07:22:10 2026 commencing cycle optimization
  101. Wed Jun 3 07:22:14 2026 start with 27034796 relations
  102. Wed Jun 3 07:22:37 2026 pruned 837842 relations
  103. Wed Jun 3 07:22:37 2026 memory use: 830.0 MB
  104. Wed Jun 3 07:22:37 2026 distribution of cycle lengths:
  105. Wed Jun 3 07:22:37 2026 1 relations: 344207
  106. Wed Jun 3 07:22:37 2026 2 relations: 383876
  107. Wed Jun 3 07:22:37 2026 3 relations: 404534
  108. Wed Jun 3 07:22:37 2026 4 relations: 383845
  109. Wed Jun 3 07:22:37 2026 5 relations: 370116
  110. Wed Jun 3 07:22:37 2026 6 relations: 338690
  111. Wed Jun 3 07:22:37 2026 7 relations: 313021
  112. Wed Jun 3 07:22:37 2026 8 relations: 277825
  113. Wed Jun 3 07:22:37 2026 9 relations: 244580
  114. Wed Jun 3 07:22:37 2026 10+ relations: 933190
  115. Wed Jun 3 07:22:37 2026 heaviest cycle: 23 relations
  116. Wed Jun 3 07:22:40 2026 RelProcTime: 339
  117. Wed Jun 3 07:22:40 2026
  118. Wed Jun 3 07:22:40 2026 commencing linear algebra
  119. Wed Jun 3 07:22:40 2026 using VBITS=64
  120. Wed Jun 3 07:22:40 2026 read 3993884 cycles
  121. Wed Jun 3 07:22:43 2026 cycles contain 13243127 unique relations
  122. Wed Jun 3 07:22:51 2026 read 13243127 relations
  123. Wed Jun 3 07:22:53 2026 using 20 quadratic characters above 4294917295
  124. Wed Jun 3 07:22:59 2026 building initial matrix
  125. Wed Jun 3 07:24:11 2026 memory use: 1801.9 MB
  126. Wed Jun 3 07:24:12 2026 read 3993884 cycles
  127. Wed Jun 3 07:24:12 2026 matrix is 3993704 x 3993884 (1491.8 MB) with weight 464067830 (116.19/col)
  128. Wed Jun 3 07:24:12 2026 sparse part has weight 343139184 (85.92/col)
  129. Wed Jun 3 07:24:31 2026 filtering completed in 2 passes
  130. Wed Jun 3 07:24:31 2026 matrix is 3992833 x 3993012 (1491.7 MB) with weight 464027662 (116.21/col)
  131. Wed Jun 3 07:24:31 2026 sparse part has weight 343126453 (85.93/col)
  132. Wed Jun 3 07:24:36 2026 matrix starts at (0, 0)
  133. Wed Jun 3 07:24:36 2026 matrix is 3992833 x 3993012 (1491.7 MB) with weight 464027662 (116.21/col)
  134. Wed Jun 3 07:24:36 2026 sparse part has weight 343126453 (85.93/col)
  135. Wed Jun 3 07:24:36 2026 saving the first 48 matrix rows for later
  136. Wed Jun 3 07:24:36 2026 matrix includes 64 packed rows
  137. Wed Jun 3 07:24:37 2026 matrix is 3992785 x 3993012 (1448.1 MB) with weight 383926737 (96.15/col)
  138. Wed Jun 3 07:24:37 2026 sparse part has weight 339678055 (85.07/col)
  139. Wed Jun 3 07:24:37 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  140. Wed Jun 3 07:24:37 2026 selected card has CUDA arch 8.6
  141. Wed Jun 3 07:24:51 2026 commencing Lanczos iteration
  142. Wed Jun 3 07:24:51 2026 memory use: 2865.7 MB
  143. Wed Jun 3 07:25:12 2026 checking every 50000 dimensions, checkpointing every 3300000 dimensions
  144. Wed Jun 3 07:25:24 2026 linear algebra at 0.8%, ETA 1h11m
  145. Wed Jun 3 08:35:18 2026 lanczos halted after 63139 iterations (dim = 3992783)
  146. Wed Jun 3 08:35:20 2026 recovered 28 nontrivial dependencies
  147. Wed Jun 3 08:35:21 2026 BLanczosTime: 4361
  148. Wed Jun 3 08:35:21 2026
  149. Wed Jun 3 08:35:21 2026 commencing square root phase
  150. Wed Jun 3 08:35:21 2026 reading relations for dependency 1
  151. Wed Jun 3 08:35:21 2026 read 1996154 cycles
  152. Wed Jun 3 08:35:22 2026 cycles contain 6621426 unique relations
  153. Wed Jun 3 08:35:28 2026 read 6621426 relations
  154. Wed Jun 3 08:35:42 2026 multiplying 6621426 relations
  155. Wed Jun 3 08:36:12 2026 multiply complete, coefficients have about 329.56 million bits
  156. Wed Jun 3 08:36:13 2026 initial square root is modulo 819319
  157. Wed Jun 3 08:37:07 2026 sqrtTime: 106
  158. Wed Jun 3 08:37:07 2026 p75 factor: 524711356718904962290777357890451264590520735415635807318222908127506587887
  159. Wed Jun 3 08:37:07 2026 p81 factor: 783740611879671371809659920258011364970755241554844812643406130555657193820137031
  160. Wed Jun 3 08:37:07 2026 elapsed time 01:20:06
  161.  
Tags: math
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