kyleaskine

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Mar 4th, 2026
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  1. Tue Mar 3 16:02:22 2026
  2. Tue Mar 3 16:02:22 2026
  3. Tue Mar 3 16:02:22 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Mar 3 16:02:22 2026 random seeds: 62b73e90 5a5c9c98
  5. Tue Mar 3 16:02:22 2026 factoring 19359929587858248818526080602233024825832966002101781992078921606370697186709671575773411743607761560358789631423843802727846294014455124379275803361907060328086349967953718122810258702541128485385071 (200 digits)
  6. Tue Mar 3 16:02:22 2026 no P-1/P+1/ECM available, skipping
  7. Tue Mar 3 16:02:22 2026 commencing number field sieve (200-digit input)
  8. Tue Mar 3 16:02:22 2026 R0: 240511486418621718945012873953076193322
  9. Tue Mar 3 16:02:22 2026 R1: -15508432751848966861
  10. Tue Mar 3 16:02:22 2026 A0: -1
  11. Tue Mar 3 16:02:22 2026 A1: 3
  12. Tue Mar 3 16:02:22 2026 A2: 6
  13. Tue Mar 3 16:02:22 2026 A3: -4
  14. Tue Mar 3 16:02:22 2026 A4: -5
  15. Tue Mar 3 16:02:22 2026 A5: 1
  16. Tue Mar 3 16:02:22 2026 A6: 1
  17. Tue Mar 3 16:02:22 2026 skew 1.37, size 2.436e-11, alpha 3.126, combined = 1.201e-12 rroots = 6
  18. Tue Mar 3 16:02:22 2026
  19. Tue Mar 3 16:02:22 2026 commencing relation filtering
  20. Tue Mar 3 16:02:22 2026 setting target matrix density to 105.0
  21. Tue Mar 3 16:02:22 2026 estimated available RAM is 95911.2 MB
  22. Tue Mar 3 16:02:22 2026 commencing duplicate removal, pass 1
  23. Tue Mar 3 16:04:14 2026 error -5 reading relation 21163798
  24. Tue Mar 3 16:04:32 2026 error -9 reading relation 24521520
  25. Tue Mar 3 16:05:35 2026 error -9 reading relation 37337441
  26. Tue Mar 3 16:06:35 2026 error -9 reading relation 49190204
  27. Tue Mar 3 16:08:34 2026 error -9 reading relation 74125998
  28. Tue Mar 3 16:09:18 2026 error -9 reading relation 83266694
  29. Tue Mar 3 16:09:51 2026 error -9 reading relation 89945127
  30. Tue Mar 3 16:09:59 2026 error -9 reading relation 91542179
  31. Tue Mar 3 16:10:15 2026 error -15 reading relation 95177908
  32. Tue Mar 3 16:10:50 2026 error -15 reading relation 103326558
  33. Tue Mar 3 16:11:43 2026 error -9 reading relation 115285744
  34. Tue Mar 3 16:11:45 2026 error -9 reading relation 115780865
  35. Tue Mar 3 16:12:28 2026 error -15 reading relation 125302202
  36. Tue Mar 3 16:12:53 2026 skipped 7 relations with b > 2^32
  37. Tue Mar 3 16:12:53 2026 skipped 9 relations with composite factors
  38. Tue Mar 3 16:12:53 2026 found 25696104 hash collisions in 131091128 relations
  39. Tue Mar 3 16:12:59 2026 added 2438358 free relations
  40. Tue Mar 3 16:12:59 2026 commencing duplicate removal, pass 2
  41. Tue Mar 3 16:15:49 2026 found 24573223 duplicates and 108956263 unique relations
  42. Tue Mar 3 16:15:49 2026 memory use: 660.8 MB
  43. Tue Mar 3 16:15:49 2026 reading ideals above 720000
  44. Tue Mar 3 16:15:49 2026 commencing singleton removal, initial pass
  45. Tue Mar 3 16:27:03 2026 memory use: 3012.0 MB
  46. Tue Mar 3 16:27:03 2026 reading all ideals from disk
  47. Tue Mar 3 16:27:05 2026 memory use: 4062.1 MB
  48. Tue Mar 3 16:27:08 2026 keeping 112166560 ideals with weight <= 200, target excess is 561278
  49. Tue Mar 3 16:27:15 2026 commencing in-memory singleton removal
  50. Tue Mar 3 16:27:18 2026 begin with 108956263 relations and 112166560 unique ideals
  51. Tue Mar 3 16:28:33 2026 reduce to 50530385 relations and 45159475 ideals in 18 passes
  52. Tue Mar 3 16:28:33 2026 max relations containing the same ideal: 123
  53. Tue Mar 3 16:28:47 2026 removing 6721341 relations and 5721341 ideals in 1000000 cliques
  54. Tue Mar 3 16:28:49 2026 commencing in-memory singleton removal
  55. Tue Mar 3 16:28:50 2026 begin with 43809044 relations and 45159475 unique ideals
  56. Tue Mar 3 16:29:23 2026 reduce to 42962781 relations and 38569540 ideals in 11 passes
  57. Tue Mar 3 16:29:23 2026 max relations containing the same ideal: 112
  58. Tue Mar 3 16:29:35 2026 removing 5222754 relations and 4222754 ideals in 1000000 cliques
  59. Tue Mar 3 16:29:36 2026 commencing in-memory singleton removal
  60. Tue Mar 3 16:29:37 2026 begin with 37740027 relations and 38569540 unique ideals
  61. Tue Mar 3 16:30:04 2026 reduce to 37177030 relations and 33770255 ideals in 9 passes
  62. Tue Mar 3 16:30:04 2026 max relations containing the same ideal: 102
  63. Tue Mar 3 16:30:14 2026 removing 4761206 relations and 3761206 ideals in 1000000 cliques
  64. Tue Mar 3 16:30:16 2026 commencing in-memory singleton removal
  65. Tue Mar 3 16:30:17 2026 begin with 32415824 relations and 33770255 unique ideals
  66. Tue Mar 3 16:30:45 2026 reduce to 31895095 relations and 29474662 ideals in 11 passes
  67. Tue Mar 3 16:30:45 2026 max relations containing the same ideal: 90
  68. Tue Mar 3 16:30:54 2026 removing 4524125 relations and 3524125 ideals in 1000000 cliques
  69. Tue Mar 3 16:30:55 2026 commencing in-memory singleton removal
  70. Tue Mar 3 16:30:56 2026 begin with 27370970 relations and 29474662 unique ideals
  71. Tue Mar 3 16:31:13 2026 reduce to 26834985 relations and 25398887 ideals in 11 passes
  72. Tue Mar 3 16:31:13 2026 max relations containing the same ideal: 83
  73. Tue Mar 3 16:31:21 2026 removing 3635753 relations and 2850738 ideals in 785015 cliques
  74. Tue Mar 3 16:31:22 2026 commencing in-memory singleton removal
  75. Tue Mar 3 16:31:22 2026 begin with 23199232 relations and 25398887 unique ideals
  76. Tue Mar 3 16:31:35 2026 reduce to 22803078 relations and 22141258 ideals in 10 passes
  77. Tue Mar 3 16:31:35 2026 max relations containing the same ideal: 73
  78. Tue Mar 3 16:31:41 2026 removing 104111 relations and 93374 ideals in 10737 cliques
  79. Tue Mar 3 16:31:42 2026 commencing in-memory singleton removal
  80. Tue Mar 3 16:31:42 2026 begin with 22698967 relations and 22141258 unique ideals
  81. Tue Mar 3 16:31:48 2026 reduce to 22698712 relations and 22047627 ideals in 5 passes
  82. Tue Mar 3 16:31:48 2026 max relations containing the same ideal: 73
  83. Tue Mar 3 16:31:51 2026 relations with 0 large ideals: 43004
  84. Tue Mar 3 16:31:51 2026 relations with 1 large ideals: 11599
  85. Tue Mar 3 16:31:51 2026 relations with 2 large ideals: 141710
  86. Tue Mar 3 16:31:51 2026 relations with 3 large ideals: 858125
  87. Tue Mar 3 16:31:51 2026 relations with 4 large ideals: 2777858
  88. Tue Mar 3 16:31:51 2026 relations with 5 large ideals: 5272808
  89. Tue Mar 3 16:31:51 2026 relations with 6 large ideals: 6097281
  90. Tue Mar 3 16:31:51 2026 relations with 7+ large ideals: 7496327
  91. Tue Mar 3 16:31:51 2026 commencing 2-way merge
  92. Tue Mar 3 16:32:00 2026 reduce to 13736952 relation sets and 13085867 unique ideals
  93. Tue Mar 3 16:32:00 2026 commencing full merge
  94. Tue Mar 3 16:35:21 2026 memory use: 1781.6 MB
  95. Tue Mar 3 16:35:22 2026 found 6306692 cycles, need 6288067
  96. Tue Mar 3 16:35:22 2026 weight of 6288067 cycles is about 660406014 (105.03/cycle)
  97. Tue Mar 3 16:35:22 2026 distribution of cycle lengths:
  98. Tue Mar 3 16:35:22 2026 1 relations: 522991
  99. Tue Mar 3 16:35:22 2026 2 relations: 511856
  100. Tue Mar 3 16:35:22 2026 3 relations: 501334
  101. Tue Mar 3 16:35:22 2026 4 relations: 474105
  102. Tue Mar 3 16:35:22 2026 5 relations: 453492
  103. Tue Mar 3 16:35:22 2026 6 relations: 429959
  104. Tue Mar 3 16:35:22 2026 7 relations: 401297
  105. Tue Mar 3 16:35:22 2026 8 relations: 375957
  106. Tue Mar 3 16:35:22 2026 9 relations: 347920
  107. Tue Mar 3 16:35:22 2026 10+ relations: 2269156
  108. Tue Mar 3 16:35:22 2026 heaviest cycle: 28 relations
  109. Tue Mar 3 16:35:24 2026 commencing cycle optimization
  110. Tue Mar 3 16:35:31 2026 start with 52301479 relations
  111. Tue Mar 3 16:36:45 2026 pruned 1916789 relations
  112. Tue Mar 3 16:36:45 2026 memory use: 1460.0 MB
  113. Tue Mar 3 16:36:45 2026 distribution of cycle lengths:
  114. Tue Mar 3 16:36:45 2026 1 relations: 522991
  115. Tue Mar 3 16:36:45 2026 2 relations: 521178
  116. Tue Mar 3 16:36:45 2026 3 relations: 517881
  117. Tue Mar 3 16:36:45 2026 4 relations: 488845
  118. Tue Mar 3 16:36:45 2026 5 relations: 470993
  119. Tue Mar 3 16:36:45 2026 6 relations: 444490
  120. Tue Mar 3 16:36:45 2026 7 relations: 416675
  121. Tue Mar 3 16:36:45 2026 8 relations: 387746
  122. Tue Mar 3 16:36:45 2026 9 relations: 358209
  123. Tue Mar 3 16:36:45 2026 10+ relations: 2159059
  124. Tue Mar 3 16:36:45 2026 heaviest cycle: 28 relations
  125. Tue Mar 3 16:36:50 2026 RelProcTime: 2068
  126. Tue Mar 3 16:36:50 2026
  127. Tue Mar 3 16:36:50 2026 commencing linear algebra
  128. Tue Mar 3 16:36:51 2026 read 6288067 cycles
  129. Tue Mar 3 16:36:57 2026 cycles contain 22208160 unique relations
  130. Tue Mar 3 16:38:53 2026 read 22208160 relations
  131. Tue Mar 3 16:39:17 2026 using 20 quadratic characters above 4294917295
  132. Tue Mar 3 16:40:13 2026 building initial matrix
  133. Tue Mar 3 16:42:24 2026 memory use: 2656.1 MB
  134. Tue Mar 3 16:42:28 2026 read 6288067 cycles
  135. Tue Mar 3 16:42:28 2026 matrix is 6287890 x 6288067 (2619.5 MB) with weight 742521160 (118.08/col)
  136. Tue Mar 3 16:42:28 2026 sparse part has weight 623794914 (99.20/col)
  137. Tue Mar 3 16:43:03 2026 filtering completed in 2 passes
  138. Tue Mar 3 16:43:04 2026 matrix is 6287389 x 6287566 (2619.4 MB) with weight 742505036 (118.09/col)
  139. Tue Mar 3 16:43:04 2026 sparse part has weight 623788421 (99.21/col)
  140. Tue Mar 3 16:43:12 2026 matrix starts at (0, 0)
  141. Tue Mar 3 16:43:15 2026 matrix is 6287389 x 6287566 (2619.4 MB) with weight 742505036 (118.09/col)
  142. Tue Mar 3 16:43:15 2026 sparse part has weight 623788421 (99.21/col)
  143. Tue Mar 3 16:43:15 2026 saving the first 48 matrix rows for later
  144. Tue Mar 3 16:43:16 2026 matrix includes 64 packed rows
  145. Tue Mar 3 16:43:17 2026 matrix is 6287341 x 6287566 (2514.7 MB) with weight 635431899 (101.06/col)
  146. Tue Mar 3 16:43:17 2026 sparse part has weight 596327241 (94.84/col)
  147. Tue Mar 3 16:43:17 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB
  148. Tue Mar 3 16:43:35 2026 commencing Lanczos iteration (16 threads)
  149. Tue Mar 3 16:43:35 2026 memory use: 2416.9 MB
  150. Tue Mar 3 16:43:40 2026 linear algebra at 0.0%, ETA 5h44m
  151. Tue Mar 3 16:43:42 2026 checkpointing every 1050000 dimensions
  152. Tue Mar 3 22:18:12 2026 lanczos halted after 99423 iterations (dim = 6287338)
  153. Tue Mar 3 22:18:15 2026 recovered 32 nontrivial dependencies
  154. Tue Mar 3 22:18:15 2026 BLanczosTime: 20485
  155. Tue Mar 3 22:18:15 2026
  156. Tue Mar 3 22:18:15 2026 commencing square root phase
  157. Tue Mar 3 22:18:15 2026 handling dependencies 1 to 64
  158. Tue Mar 3 22:18:15 2026 reading relations for dependency 1
  159. Tue Mar 3 22:18:16 2026 read 3145307 cycles
  160. Tue Mar 3 22:18:20 2026 cycles contain 11105798 unique relations
  161. Tue Mar 3 22:19:38 2026 read 11105798 relations
  162. Tue Mar 3 22:20:14 2026 multiplying 11105798 relations
  163. Tue Mar 3 22:25:25 2026 multiply complete, coefficients have about 267.53 million bits
  164. Tue Mar 3 22:25:26 2026 initial square root is modulo 63199
  165. Tue Mar 3 22:30:52 2026 GCD is 1, no factor found
  166. Tue Mar 3 22:30:52 2026 reading relations for dependency 2
  167. Tue Mar 3 22:30:53 2026 read 3142288 cycles
  168. Tue Mar 3 22:30:58 2026 cycles contain 11101532 unique relations
  169. Tue Mar 3 22:32:39 2026 read 11101532 relations
  170. Tue Mar 3 22:33:17 2026 multiplying 11101532 relations
  171. Tue Mar 3 22:38:17 2026 multiply complete, coefficients have about 267.42 million bits
  172. Tue Mar 3 22:38:18 2026 initial square root is modulo 62927
  173. Tue Mar 3 22:43:42 2026 sqrtTime: 1527
  174. Tue Mar 3 22:43:42 2026 p67 factor: 3630882958775254818381441959646277458925812106268472140392294899977
  175. Tue Mar 3 22:43:42 2026 p133 factor: 5332016979800585729385555377261066646970238297608805476823101939751298730592447633332435588898681055795330688630057844022065000752823
  176. Tue Mar 3 22:43:42 2026 elapsed time 06:41:20
  177.  
Tags: math
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