kyleaskine

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Jun 10th, 2026
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  1. Wed Jun 10 08:40:41 2026
  2. Wed Jun 10 08:40:41 2026
  3. Wed Jun 10 08:40:41 2026 Msieve v. 1.54 (SVN unknown)
  4. Wed Jun 10 08:40:41 2026 random seeds: b48c3f3c 9592c0d2
  5. Wed Jun 10 08:40:41 2026 Using 8 OpenMP threads
  6. Wed Jun 10 08:40:41 2026 factoring 233970599271566287989867723933021715702165950543992533083726350727628607356839284050725406275094124742933135299684954615380780535297701481957867209150021325147708065811 (168 digits)
  7. Wed Jun 10 08:40:41 2026 no P-1/P+1/ECM available, skipping
  8. Wed Jun 10 08:40:41 2026 commencing number field sieve (168-digit input)
  9. Wed Jun 10 08:40:41 2026 R0: -541185393786751509169986649094800
  10. Wed Jun 10 08:40:41 2026 R1: 494483993088431938031
  11. Wed Jun 10 08:40:41 2026 A0: 6692235633223573344315695889381701469145
  12. Wed Jun 10 08:40:41 2026 A1: 2120265602520935196410156757593632
  13. Wed Jun 10 08:40:41 2026 A2: -516892563237087439128811993
  14. Wed Jun 10 08:40:41 2026 A3: -63160984809094743484
  15. Wed Jun 10 08:40:41 2026 A4: 238436107380
  16. Wed Jun 10 08:40:41 2026 A5: 226800
  17. Wed Jun 10 08:40:41 2026 skew 10506967.16, size 3.309e-16, alpha -7.989, combined = 6.177e-13 rroots = 3
  18. Wed Jun 10 08:40:41 2026
  19. Wed Jun 10 08:40:41 2026 commencing relation filtering
  20. Wed Jun 10 08:40:41 2026 setting target matrix density to 100.0
  21. Wed Jun 10 08:40:41 2026 estimated available RAM is 78540.1 MB
  22. Wed Jun 10 08:40:41 2026 commencing duplicate removal, pass 1
  23. Wed Jun 10 08:41:21 2026 error -1 reading relation 13010958
  24. Wed Jun 10 08:43:39 2026 error -1 reading relation 55582500
  25. Wed Jun 10 08:45:17 2026 error -1 reading relation 87277034
  26. Wed Jun 10 08:45:22 2026 error -1 reading relation 88993616
  27. Wed Jun 10 08:46:04 2026 error -1 reading relation 102889359
  28. Wed Jun 10 08:46:26 2026 error -1 reading relation 109631811
  29. Wed Jun 10 08:46:26 2026 error -1 reading relation 109638814
  30. Wed Jun 10 08:47:04 2026 error -1 reading relation 121963131
  31. Wed Jun 10 08:47:49 2026 error -1 reading relation 137559922
  32. Wed Jun 10 08:48:12 2026 error -1 reading relation 145000433
  33. Wed Jun 10 08:48:15 2026 error -1 reading relation 146027560
  34. Wed Jun 10 08:48:17 2026 error -1 reading relation 146629442
  35. Wed Jun 10 08:48:18 2026 error -1 reading relation 146775389
  36. Wed Jun 10 08:48:28 2026 skipped 1 relations with b > 2^32
  37. Wed Jun 10 08:48:28 2026 skipped 1 relations with composite factors
  38. Wed Jun 10 08:48:28 2026 skipped 86 malformed relations
  39. Wed Jun 10 08:48:28 2026 found 26779081 hash collisions in 150284543 relations
  40. Wed Jun 10 08:48:44 2026 added 121256 free relations
  41. Wed Jun 10 08:48:44 2026 commencing duplicate removal, pass 2
  42. Wed Jun 10 08:50:18 2026 found 27319086 duplicates and 123086713 unique relations
  43. Wed Jun 10 08:50:18 2026 memory use: 852.8 MB
  44. Wed Jun 10 08:50:18 2026 reading ideals above 720000
  45. Wed Jun 10 08:50:19 2026 commencing singleton removal, initial pass
  46. Wed Jun 10 09:03:52 2026 memory use: 3012.0 MB
  47. Wed Jun 10 09:03:53 2026 reading all ideals from disk
  48. Wed Jun 10 09:03:57 2026 memory use: 5642.3 MB
  49. Wed Jun 10 09:04:13 2026 keeping 123862373 ideals with weight <= 200, target excess is 615305
  50. Wed Jun 10 09:04:28 2026 commencing in-memory singleton removal
  51. Wed Jun 10 09:04:30 2026 begin with 123086713 relations and 123862373 unique ideals
  52. Wed Jun 10 09:04:57 2026 reduce to 66052703 relations and 59816987 ideals in 16 passes
  53. Wed Jun 10 09:04:57 2026 max relations containing the same ideal: 138
  54. Wed Jun 10 09:05:33 2026 removing 7146025 relations and 6146025 ideals in 1000000 cliques
  55. Wed Jun 10 09:05:35 2026 commencing in-memory singleton removal
  56. Wed Jun 10 09:05:36 2026 begin with 58906678 relations and 59816987 unique ideals
  57. Wed Jun 10 09:05:47 2026 reduce to 58241047 relations and 52991803 ideals in 10 passes
  58. Wed Jun 10 09:05:47 2026 max relations containing the same ideal: 128
  59. Wed Jun 10 09:06:25 2026 removing 5486281 relations and 4486281 ideals in 1000000 cliques
  60. Wed Jun 10 09:06:27 2026 commencing in-memory singleton removal
  61. Wed Jun 10 09:06:29 2026 begin with 52754766 relations and 52991803 unique ideals
  62. Wed Jun 10 09:06:40 2026 reduce to 52297174 relations and 48039567 ideals in 11 passes
  63. Wed Jun 10 09:06:40 2026 max relations containing the same ideal: 119
  64. Wed Jun 10 09:07:11 2026 removing 4995421 relations and 3995421 ideals in 1000000 cliques
  65. Wed Jun 10 09:07:13 2026 commencing in-memory singleton removal
  66. Wed Jun 10 09:07:14 2026 begin with 47301753 relations and 48039567 unique ideals
  67. Wed Jun 10 09:07:22 2026 reduce to 46875860 relations and 43610273 ideals in 8 passes
  68. Wed Jun 10 09:07:22 2026 max relations containing the same ideal: 111
  69. Wed Jun 10 09:07:48 2026 removing 4769124 relations and 3769124 ideals in 1000000 cliques
  70. Wed Jun 10 09:07:50 2026 commencing in-memory singleton removal
  71. Wed Jun 10 09:07:51 2026 begin with 42106736 relations and 43610273 unique ideals
  72. Wed Jun 10 09:07:59 2026 reduce to 41673956 relations and 39399840 ideals in 10 passes
  73. Wed Jun 10 09:07:59 2026 max relations containing the same ideal: 104
  74. Wed Jun 10 09:08:22 2026 removing 4657345 relations and 3657345 ideals in 1000000 cliques
  75. Wed Jun 10 09:08:24 2026 commencing in-memory singleton removal
  76. Wed Jun 10 09:08:25 2026 begin with 37016611 relations and 39399840 unique ideals
  77. Wed Jun 10 09:08:31 2026 reduce to 36552610 relations and 35268207 ideals in 9 passes
  78. Wed Jun 10 09:08:31 2026 max relations containing the same ideal: 93
  79. Wed Jun 10 09:08:52 2026 removing 2982803 relations and 2412154 ideals in 570649 cliques
  80. Wed Jun 10 09:08:53 2026 commencing in-memory singleton removal
  81. Wed Jun 10 09:08:54 2026 begin with 33569807 relations and 35268207 unique ideals
  82. Wed Jun 10 09:09:01 2026 reduce to 33367775 relations and 32651150 ideals in 11 passes
  83. Wed Jun 10 09:09:01 2026 max relations containing the same ideal: 85
  84. Wed Jun 10 09:09:23 2026 relations with 0 large ideals: 2383
  85. Wed Jun 10 09:09:23 2026 relations with 1 large ideals: 8372
  86. Wed Jun 10 09:09:23 2026 relations with 2 large ideals: 134134
  87. Wed Jun 10 09:09:23 2026 relations with 3 large ideals: 902220
  88. Wed Jun 10 09:09:23 2026 relations with 4 large ideals: 3278905
  89. Wed Jun 10 09:09:23 2026 relations with 5 large ideals: 7074869
  90. Wed Jun 10 09:09:23 2026 relations with 6 large ideals: 9401090
  91. Wed Jun 10 09:09:23 2026 relations with 7+ large ideals: 12565802
  92. Wed Jun 10 09:09:23 2026 commencing 2-way merge
  93. Wed Jun 10 09:09:50 2026 reduce to 20520958 relation sets and 19804333 unique ideals
  94. Wed Jun 10 09:09:50 2026 commencing full merge
  95. Wed Jun 10 09:18:28 2026 memory use: 2422.9 MB
  96. Wed Jun 10 09:18:33 2026 found 9601882 cycles, need 9534533
  97. Wed Jun 10 09:18:35 2026 weight of 9534533 cycles is about 954068227 (100.06/cycle)
  98. Wed Jun 10 09:18:35 2026 distribution of cycle lengths:
  99. Wed Jun 10 09:18:35 2026 1 relations: 916674
  100. Wed Jun 10 09:18:35 2026 2 relations: 884417
  101. Wed Jun 10 09:18:35 2026 3 relations: 861460
  102. Wed Jun 10 09:18:35 2026 4 relations: 802901
  103. Wed Jun 10 09:18:35 2026 5 relations: 759762
  104. Wed Jun 10 09:18:35 2026 6 relations: 693583
  105. Wed Jun 10 09:18:35 2026 7 relations: 649102
  106. Wed Jun 10 09:18:35 2026 8 relations: 587174
  107. Wed Jun 10 09:18:35 2026 9 relations: 530921
  108. Wed Jun 10 09:18:35 2026 10+ relations: 2848539
  109. Wed Jun 10 09:18:35 2026 heaviest cycle: 27 relations
  110. Wed Jun 10 09:18:38 2026 commencing cycle optimization
  111. Wed Jun 10 09:18:59 2026 start with 69877159 relations
  112. Wed Jun 10 09:21:24 2026 pruned 2294118 relations
  113. Wed Jun 10 09:21:25 2026 memory use: 2075.2 MB
  114. Wed Jun 10 09:21:25 2026 distribution of cycle lengths:
  115. Wed Jun 10 09:21:25 2026 1 relations: 916674
  116. Wed Jun 10 09:21:25 2026 2 relations: 906364
  117. Wed Jun 10 09:21:25 2026 3 relations: 894731
  118. Wed Jun 10 09:21:25 2026 4 relations: 828021
  119. Wed Jun 10 09:21:25 2026 5 relations: 785454
  120. Wed Jun 10 09:21:25 2026 6 relations: 713211
  121. Wed Jun 10 09:21:25 2026 7 relations: 665854
  122. Wed Jun 10 09:21:25 2026 8 relations: 599141
  123. Wed Jun 10 09:21:25 2026 9 relations: 540961
  124. Wed Jun 10 09:21:25 2026 10+ relations: 2684122
  125. Wed Jun 10 09:21:25 2026 heaviest cycle: 27 relations
  126. Wed Jun 10 09:21:42 2026 RelProcTime: 2461
  127. Wed Jun 10 09:21:42 2026
  128. Wed Jun 10 09:21:42 2026 commencing linear algebra
  129. Wed Jun 10 09:21:42 2026 using VBITS=64
  130. Wed Jun 10 09:21:42 2026 stopping after matrix build
  131. Wed Jun 10 09:21:43 2026 read 9534533 cycles
  132. Wed Jun 10 09:21:56 2026 cycles contain 32803075 unique relations
  133. Wed Jun 10 09:22:17 2026 read 32803075 relations
  134. Wed Jun 10 09:22:27 2026 using 20 quadratic characters above 4294917295
  135. Wed Jun 10 09:22:39 2026 building initial matrix
  136. Wed Jun 10 09:28:14 2026 memory use: 4349.2 MB
  137. Wed Jun 10 09:28:19 2026 read 9534533 cycles
  138. Wed Jun 10 09:28:20 2026 matrix is 9534355 x 9534533 (3845.0 MB) with weight 1172122113 (122.93/col)
  139. Wed Jun 10 09:28:20 2026 sparse part has weight 903062744 (94.71/col)
  140. Wed Jun 10 09:29:23 2026 filtering completed in 2 passes
  141. Wed Jun 10 09:29:25 2026 matrix is 9532169 x 9532347 (3844.8 MB) with weight 1172027328 (122.95/col)
  142. Wed Jun 10 09:29:25 2026 sparse part has weight 903034081 (94.73/col)
  143. Wed Jun 10 09:29:45 2026 BLanczosTime: 483
  144. Wed Jun 10 09:29:45 2026 elapsed time 00:49:04Wed Jun 10 10:04:06 2026
  145. Wed Jun 10 10:04:06 2026
  146. Wed Jun 10 10:04:06 2026 Msieve v. 1.54 (SVN unknown)
  147. Wed Jun 10 10:04:06 2026 random seeds: 1b07b066 8c14e1b9
  148. Wed Jun 10 10:04:06 2026 Using 8 OpenMP threads
  149. Wed Jun 10 10:04:06 2026 factoring 233970599271566287989867723933021715702165950543992533083726350727628607356839284050725406275094124742933135299684954615380780535297701481957867209150021325147708065811 (168 digits)
  150. Wed Jun 10 10:04:06 2026 no P-1/P+1/ECM available, skipping
  151. Wed Jun 10 10:04:06 2026 commencing number field sieve (168-digit input)
  152. Wed Jun 10 10:04:06 2026 R0: -541185393786751509169986649094800
  153. Wed Jun 10 10:04:06 2026 R1: 494483993088431938031
  154. Wed Jun 10 10:04:06 2026 A0: 6692235633223573344315695889381701469145
  155. Wed Jun 10 10:04:06 2026 A1: 2120265602520935196410156757593632
  156. Wed Jun 10 10:04:06 2026 A2: -516892563237087439128811993
  157. Wed Jun 10 10:04:06 2026 A3: -63160984809094743484
  158. Wed Jun 10 10:04:06 2026 A4: 238436107380
  159. Wed Jun 10 10:04:06 2026 A5: 226800
  160. Wed Jun 10 10:04:06 2026 skew 10506967.16, size 3.309e-16, alpha -7.989, combined = 6.177e-13 rroots = 3
  161. Wed Jun 10 10:04:06 2026
  162. Wed Jun 10 10:04:06 2026 commencing linear algebra
  163. Wed Jun 10 10:04:06 2026 using VBITS=64
  164. Wed Jun 10 10:04:06 2026 skipping matrix build
  165. Wed Jun 10 10:04:12 2026 matrix starts at (0, 0)
  166. Wed Jun 10 10:04:13 2026 matrix is 9532169 x 9532347 (3844.8 MB) with weight 1172027328 (122.95/col)
  167. Wed Jun 10 10:04:13 2026 sparse part has weight 903034081 (94.73/col)
  168. Wed Jun 10 10:04:13 2026 saving the first 48 matrix rows for later
  169. Wed Jun 10 10:04:14 2026 matrix includes 64 packed rows
  170. Wed Jun 10 10:04:15 2026 matrix is 9532121 x 9532347 (3737.3 MB) with weight 984574846 (103.29/col)
  171. Wed Jun 10 10:04:15 2026 sparse part has weight 884392561 (92.78/col)
  172. Wed Jun 10 10:04:15 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  173. Wed Jun 10 10:04:15 2026 selected card has CUDA arch 12.0
  174. Wed Jun 10 10:04:56 2026 commencing Lanczos iteration
  175. Wed Jun 10 10:04:56 2026 memory use: 7620.1 MB
  176. Wed Jun 10 10:05:11 2026 checking every 70000 dimensions, checkpointing every 4620000 dimensions
  177. Wed Jun 10 10:05:19 2026 linear algebra at 0.3%, ETA 1h59m
  178. Wed Jun 10 12:03:11 2026 lanczos halted after 150742 iterations (dim = 9532120)
  179. Wed Jun 10 12:03:21 2026 recovered 28 nontrivial dependencies
  180. Wed Jun 10 12:03:22 2026 BLanczosTime: 7156
  181. Wed Jun 10 12:03:22 2026
  182. Wed Jun 10 12:03:22 2026 commencing square root phase
  183. Wed Jun 10 12:03:22 2026 handling dependencies 1 to 64
  184. Wed Jun 10 12:03:22 2026 reading relations for dependency 1
  185. Wed Jun 10 12:03:37 2026 read 4767859 cycles
  186. Wed Jun 10 12:03:49 2026 cycles contain 16404916 unique relations
  187. Wed Jun 10 12:06:52 2026 read 16404916 relations
  188. Wed Jun 10 12:08:07 2026 multiplying 16404916 relations
  189. Wed Jun 10 12:10:20 2026 multiply complete, coefficients have about 890.88 million bits
  190. Wed Jun 10 12:10:23 2026 initial square root is modulo 98298821
  191. Wed Jun 10 12:15:42 2026 sqrtTime: 740
  192. Wed Jun 10 12:15:42 2026 p62 factor: 36403926557233728093472697163123906693615701261037754042627763
  193. Wed Jun 10 12:15:42 2026 p106 factor: 6427070412410625199134894711713503579803326645888849442250130474314470254906873404208183363283827317905697
  194. Wed Jun 10 12:15:42 2026 elapsed time 02:11:36
  195.  
Tags: math
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