kyleaskine

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Apr 25th, 2026
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  1. Sat Apr 25 17:52:36 2026
  2. Sat Apr 25 17:52:36 2026 Msieve v. 1.54 (SVN unknown)
  3. Sat Apr 25 17:52:36 2026 random seeds: 4d5a4ed4 5f254482
  4. Sat Apr 25 17:52:36 2026 Using 8 OpenMP threads
  5. Sat Apr 25 17:52:36 2026 factoring 49361887653880426317742522567155579788953651209226794143022979018871456989943199414473083211349286499358517898831317704701280452465387898745421838070800758676891319348235859349096051223478469019415631222301155610134004846766417195217697 (236 digits)
  6. Sat Apr 25 17:52:36 2026 no P-1/P+1/ECM available, skipping
  7. Sat Apr 25 17:52:36 2026 commencing number field sieve (236-digit input)
  8. Sat Apr 25 17:52:36 2026 R0: 18360394814725074529315546965675792450403
  9. Sat Apr 25 17:52:36 2026 R1: -1
  10. Sat Apr 25 17:52:36 2026 A0: 1
  11. Sat Apr 25 17:52:36 2026 A1: 1
  12. Sat Apr 25 17:52:36 2026 A2: 1
  13. Sat Apr 25 17:52:36 2026 A3: 1
  14. Sat Apr 25 17:52:36 2026 A4: 1
  15. Sat Apr 25 17:52:36 2026 A5: 1
  16. Sat Apr 25 17:52:36 2026 A6: 1
  17. Sat Apr 25 17:52:36 2026 skew 1.36, size 6.094e-12, alpha 2.428, combined = 4.459e-13 rroots = 0
  18. Sat Apr 25 17:52:36 2026
  19. Sat Apr 25 17:52:36 2026 commencing relation filtering
  20. Sat Apr 25 17:52:36 2026 setting 3 target densities:Sat Apr 25 17:52:36 2026 80Sat Apr 25 17:52:36 2026 100Sat Apr 25 17:52:36 2026 120Sat Apr 25 17:52:36 2026
  21. Sat Apr 25 17:52:36 2026 estimated available RAM is 78540.1 MB
  22. Sat Apr 25 17:52:36 2026 commencing duplicate removal, pass 1
  23. Sat Apr 25 17:53:14 2026 error -1 reading relation 50924991
  24. Sat Apr 25 17:53:34 2026 error -1 reading relation 79216394
  25. Sat Apr 25 17:53:51 2026 error -1 reading relation 104093059
  26. Sat Apr 25 17:54:09 2026 error -1 reading relation 128199036
  27. Sat Apr 25 17:54:19 2026 error -15 reading relation 143946784
  28. Sat Apr 25 17:54:19 2026 error -1 reading relation 144198935
  29. Sat Apr 25 17:54:36 2026 error -1 reading relation 168215337
  30. Sat Apr 25 17:54:45 2026 skipped 15 relations with b > 2^32
  31. Sat Apr 25 17:54:45 2026 skipped 1 relations with composite factors
  32. Sat Apr 25 17:54:45 2026 skipped 75 malformed relations
  33. Sat Apr 25 17:54:45 2026 found 33323534 hash collisions in 182840918 relations
  34. Sat Apr 25 17:54:45 2026 commencing duplicate removal, pass 2
  35. Sat Apr 25 17:55:40 2026 found 32814985 duplicates and 150025933 unique relations
  36. Sat Apr 25 17:55:40 2026 memory use: 852.8 MB
  37. Sat Apr 25 17:55:40 2026 reading ideals above 720000
  38. Sat Apr 25 17:55:40 2026 commencing singleton removal, initial pass
  39. Sat Apr 25 18:00:23 2026 memory use: 3012.0 MB
  40. Sat Apr 25 18:00:23 2026 reading all ideals from disk
  41. Sat Apr 25 18:00:27 2026 memory use: 6942.7 MB
  42. Sat Apr 25 18:00:32 2026 keeping 155667249 ideals with weight <= 200, target excess is 752122
  43. Sat Apr 25 18:00:41 2026 commencing in-memory singleton removal
  44. Sat Apr 25 18:00:42 2026 begin with 150025933 relations and 155667249 unique ideals
  45. Sat Apr 25 18:00:55 2026 reduce to 69949365 relations and 63929019 ideals in 18 passes
  46. Sat Apr 25 18:00:55 2026 max relations containing the same ideal: 124
  47. Sat Apr 25 18:01:11 2026 removing 7848443 relations and 6848443 ideals in 1000000 cliques
  48. Sat Apr 25 18:01:12 2026 commencing in-memory singleton removal
  49. Sat Apr 25 18:01:13 2026 begin with 62100922 relations and 63929019 unique ideals
  50. Sat Apr 25 18:01:17 2026 reduce to 61371874 relations and 56337244 ideals in 10 passes
  51. Sat Apr 25 18:01:17 2026 max relations containing the same ideal: 113
  52. Sat Apr 25 18:01:31 2026 removing 5880764 relations and 4880764 ideals in 1000000 cliques
  53. Sat Apr 25 18:01:32 2026 commencing in-memory singleton removal
  54. Sat Apr 25 18:01:33 2026 begin with 55491110 relations and 56337244 unique ideals
  55. Sat Apr 25 18:01:37 2026 reduce to 55006215 relations and 50963066 ideals in 11 passes
  56. Sat Apr 25 18:01:37 2026 max relations containing the same ideal: 108
  57. Sat Apr 25 18:01:51 2026 removing 5291354 relations and 4291354 ideals in 1000000 cliques
  58. Sat Apr 25 18:01:52 2026 commencing in-memory singleton removal
  59. Sat Apr 25 18:01:52 2026 begin with 49714861 relations and 50963066 unique ideals
  60. Sat Apr 25 18:01:56 2026 reduce to 49274934 relations and 46223840 ideals in 9 passes
  61. Sat Apr 25 18:01:56 2026 max relations containing the same ideal: 100
  62. Sat Apr 25 18:02:06 2026 removing 5007796 relations and 4007796 ideals in 1000000 cliques
  63. Sat Apr 25 18:02:07 2026 commencing in-memory singleton removal
  64. Sat Apr 25 18:02:08 2026 begin with 44267138 relations and 46223840 unique ideals
  65. Sat Apr 25 18:02:11 2026 reduce to 43831283 relations and 41771874 ideals in 9 passes
  66. Sat Apr 25 18:02:11 2026 max relations containing the same ideal: 95
  67. Sat Apr 25 18:02:22 2026 removing 4838270 relations and 3838270 ideals in 1000000 cliques
  68. Sat Apr 25 18:02:23 2026 commencing in-memory singleton removal
  69. Sat Apr 25 18:02:24 2026 begin with 38993013 relations and 41771874 unique ideals
  70. Sat Apr 25 18:02:26 2026 reduce to 38540072 relations and 37471215 ideals in 9 passes
  71. Sat Apr 25 18:02:26 2026 max relations containing the same ideal: 85
  72. Sat Apr 25 18:02:34 2026 removing 1297840 relations and 1101445 ideals in 196395 cliques
  73. Sat Apr 25 18:02:35 2026 commencing in-memory singleton removal
  74. Sat Apr 25 18:02:35 2026 begin with 37242232 relations and 37471215 unique ideals
  75. Sat Apr 25 18:02:37 2026 reduce to 37209490 relations and 36336854 ideals in 7 passes
  76. Sat Apr 25 18:02:37 2026 max relations containing the same ideal: 81
  77. Sat Apr 25 18:02:47 2026 trying target density 80
  78. Sat Apr 25 18:02:50 2026 relations with 0 large ideals: 57599
  79. Sat Apr 25 18:02:50 2026 relations with 1 large ideals: 14640
  80. Sat Apr 25 18:02:50 2026 relations with 2 large ideals: 181647
  81. Sat Apr 25 18:02:50 2026 relations with 3 large ideals: 1138733
  82. Sat Apr 25 18:02:50 2026 relations with 4 large ideals: 3900355
  83. Sat Apr 25 18:02:50 2026 relations with 5 large ideals: 7942473
  84. Sat Apr 25 18:02:50 2026 relations with 6 large ideals: 9978211
  85. Sat Apr 25 18:02:50 2026 relations with 7+ large ideals: 13995832
  86. Sat Apr 25 18:02:50 2026 commencing 2-way merge
  87. Sat Apr 25 18:03:04 2026 reduce to 22805750 relation sets and 21933114 unique ideals
  88. Sat Apr 25 18:03:04 2026 commencing full merge
  89. Sat Apr 25 18:07:25 2026 memory use: 2859.9 MB
  90. Sat Apr 25 18:07:26 2026 found 11596944 cycles, need 11485314
  91. Sat Apr 25 18:07:29 2026 weight of 11485314 cycles is about 919183449 (80.03/cycle)
  92. Sat Apr 25 18:07:29 2026 distribution of cycle lengths:
  93. Sat Apr 25 18:07:29 2026 1 relations: 1446815
  94. Sat Apr 25 18:07:29 2026 2 relations: 1273482
  95. Sat Apr 25 18:07:29 2026 3 relations: 1175616
  96. Sat Apr 25 18:07:29 2026 4 relations: 1066149
  97. Sat Apr 25 18:07:29 2026 5 relations: 972554
  98. Sat Apr 25 18:07:29 2026 6 relations: 876341
  99. Sat Apr 25 18:07:29 2026 7 relations: 777513
  100. Sat Apr 25 18:07:29 2026 8 relations: 691238
  101. Sat Apr 25 18:07:29 2026 9 relations: 609245
  102. Sat Apr 25 18:07:29 2026 10+ relations: 2596361
  103. Sat Apr 25 18:07:29 2026 heaviest cycle: 24 relations
  104. Sat Apr 25 18:07:31 2026 commencing cycle optimization
  105. Sat Apr 25 18:07:42 2026 start with 72146626 relations
  106. Sat Apr 25 18:08:59 2026 pruned 1890965 relations
  107. Sat Apr 25 18:09:00 2026 memory use: 2255.8 MB
  108. Sat Apr 25 18:09:00 2026 distribution of cycle lengths:
  109. Sat Apr 25 18:09:00 2026 1 relations: 1446815
  110. Sat Apr 25 18:09:00 2026 2 relations: 1295192
  111. Sat Apr 25 18:09:00 2026 3 relations: 1211282
  112. Sat Apr 25 18:09:00 2026 4 relations: 1091721
  113. Sat Apr 25 18:09:00 2026 5 relations: 999505
  114. Sat Apr 25 18:09:00 2026 6 relations: 895504
  115. Sat Apr 25 18:09:00 2026 7 relations: 793402
  116. Sat Apr 25 18:09:00 2026 8 relations: 700142
  117. Sat Apr 25 18:09:00 2026 9 relations: 614868
  118. Sat Apr 25 18:09:00 2026 10+ relations: 2436883
  119. Sat Apr 25 18:09:00 2026 heaviest cycle: 24 relations
  120. Sat Apr 25 18:09:10 2026 trying target density 100
  121. Sat Apr 25 18:09:13 2026 relations with 0 large ideals: 57599
  122. Sat Apr 25 18:09:13 2026 relations with 1 large ideals: 14640
  123. Sat Apr 25 18:09:13 2026 relations with 2 large ideals: 181647
  124. Sat Apr 25 18:09:13 2026 relations with 3 large ideals: 1138733
  125. Sat Apr 25 18:09:13 2026 relations with 4 large ideals: 3900355
  126. Sat Apr 25 18:09:13 2026 relations with 5 large ideals: 7942473
  127. Sat Apr 25 18:09:13 2026 relations with 6 large ideals: 9978211
  128. Sat Apr 25 18:09:13 2026 relations with 7+ large ideals: 13995832
  129. Sat Apr 25 18:09:13 2026 commencing 2-way merge
  130. Sat Apr 25 18:09:27 2026 reduce to 22805750 relation sets and 21933114 unique ideals
  131. Sat Apr 25 18:09:27 2026 commencing full merge
  132. Sat Apr 25 18:15:04 2026 memory use: 2954.3 MB
  133. Sat Apr 25 18:15:06 2026 found 10685967 cycles, need 10631314
  134. Sat Apr 25 18:15:08 2026 weight of 10631314 cycles is about 1063152542 (100.00/cycle)
  135. Sat Apr 25 18:15:08 2026 distribution of cycle lengths:
  136. Sat Apr 25 18:15:08 2026 1 relations: 997318
  137. Sat Apr 25 18:15:08 2026 2 relations: 946364
  138. Sat Apr 25 18:15:08 2026 3 relations: 904884
  139. Sat Apr 25 18:15:08 2026 4 relations: 843614
  140. Sat Apr 25 18:15:08 2026 5 relations: 791231
  141. Sat Apr 25 18:15:08 2026 6 relations: 731294
  142. Sat Apr 25 18:15:08 2026 7 relations: 678039
  143. Sat Apr 25 18:15:08 2026 8 relations: 625242
  144. Sat Apr 25 18:15:08 2026 9 relations: 567442
  145. Sat Apr 25 18:15:08 2026 10+ relations: 3545886
  146. Sat Apr 25 18:15:08 2026 heaviest cycle: 28 relations
  147. Sat Apr 25 18:15:10 2026 commencing cycle optimization
  148. Sat Apr 25 18:15:22 2026 start with 83548248 relations
  149. Sat Apr 25 18:17:14 2026 pruned 2856545 relations
  150. Sat Apr 25 18:17:14 2026 memory use: 2378.1 MB
  151. Sat Apr 25 18:17:14 2026 distribution of cycle lengths:
  152. Sat Apr 25 18:17:14 2026 1 relations: 997318
  153. Sat Apr 25 18:17:14 2026 2 relations: 963409
  154. Sat Apr 25 18:17:14 2026 3 relations: 934922
  155. Sat Apr 25 18:17:14 2026 4 relations: 868097
  156. Sat Apr 25 18:17:14 2026 5 relations: 818864
  157. Sat Apr 25 18:17:14 2026 6 relations: 755291
  158. Sat Apr 25 18:17:14 2026 7 relations: 699359
  159. Sat Apr 25 18:17:14 2026 8 relations: 641334
  160. Sat Apr 25 18:17:14 2026 9 relations: 581316
  161. Sat Apr 25 18:17:14 2026 10+ relations: 3371404
  162. Sat Apr 25 18:17:14 2026 heaviest cycle: 28 relations
  163. Sat Apr 25 18:17:27 2026 trying target density 120
  164. Sat Apr 25 18:17:30 2026 relations with 0 large ideals: 57599
  165. Sat Apr 25 18:17:30 2026 relations with 1 large ideals: 14640
  166. Sat Apr 25 18:17:30 2026 relations with 2 large ideals: 181647
  167. Sat Apr 25 18:17:30 2026 relations with 3 large ideals: 1138733
  168. Sat Apr 25 18:17:30 2026 relations with 4 large ideals: 3900355
  169. Sat Apr 25 18:17:30 2026 relations with 5 large ideals: 7942473
  170. Sat Apr 25 18:17:30 2026 relations with 6 large ideals: 9978211
  171. Sat Apr 25 18:17:30 2026 relations with 7+ large ideals: 13995832
  172. Sat Apr 25 18:17:30 2026 commencing 2-way merge
  173. Sat Apr 25 18:17:44 2026 reduce to 22805750 relation sets and 21933114 unique ideals
  174. Sat Apr 25 18:17:44 2026 commencing full merge
  175. Sat Apr 25 18:30:02 2026 memory use: 1021.0 MB
  176. Sat Apr 25 18:30:02 2026 found 152247 cycles, need 4988322
  177. Sat Apr 25 18:30:02 2026 too few cycles, matrix probably cannot build
  178. Sat Apr 25 18:30:02 2026 RelProcTime: 2246
  179. Sat Apr 25 18:30:02 2026
  180. Sat Apr 25 18:30:02 2026 commencing linear algebra
  181. Sat Apr 25 18:30:02 2026 using VBITS=256
  182. Sat Apr 25 18:30:02 2026 building matrices for all densities
  183. Sat Apr 25 18:30:02 2026 found 2 density files
  184. Sat Apr 25 18:30:02 2026 building matrix for density 80
  185. Sat Apr 25 18:30:03 2026 read 11485314 cycles
  186. Sat Apr 25 18:30:14 2026 cycles contain 36606264 unique relations
  187. Sat Apr 25 18:30:32 2026 read 36606264 relations
  188. Sat Apr 25 18:30:40 2026 using 20 quadratic characters above 4294917295
  189. Sat Apr 25 18:30:53 2026 building initial matrix
  190. Sat Apr 25 18:34:24 2026 memory use: 4499.0 MB
  191. Sat Apr 25 18:34:27 2026 read 11485314 cycles
  192. Sat Apr 25 18:34:28 2026 matrix is 11485136 x 11485314 (3859.4 MB) with weight 1106099054 (96.31/col)
  193. Sat Apr 25 18:34:28 2026 sparse part has weight 885381696 (77.09/col)
  194. Sat Apr 25 18:35:29 2026 filtering completed in 2 passes
  195. Sat Apr 25 18:35:31 2026 matrix is 11480070 x 11480235 (3859.0 MB) with weight 1105954518 (96.34/col)
  196. Sat Apr 25 18:35:31 2026 sparse part has weight 885335504 (77.12/col)
  197. Sat Apr 25 18:35:44 2026 building matrix for density 100
  198. Sat Apr 25 18:35:45 2026 read 10631314 cycles
  199. Sat Apr 25 18:35:56 2026 cycles contain 36609362 unique relations
  200. Sat Apr 25 18:36:17 2026 read 36609362 relations
  201. Sat Apr 25 18:36:26 2026 using 20 quadratic characters above 4294917295
  202. Sat Apr 25 18:36:38 2026 building initial matrix
  203. Sat Apr 25 18:40:46 2026 memory use: 4513.2 MB
  204. Sat Apr 25 18:40:49 2026 read 10631314 cycles
  205. Sat Apr 25 18:40:50 2026 matrix is 10631134 x 10631314 (4297.9 MB) with weight 1225518324 (115.27/col)
  206. Sat Apr 25 18:40:50 2026 sparse part has weight 1009720608 (94.98/col)
  207. Sat Apr 25 18:41:48 2026 filtering completed in 2 passes
  208. Sat Apr 25 18:41:50 2026 matrix is 10629613 x 10629780 (4297.8 MB) with weight 1225468640 (115.29/col)
  209. Sat Apr 25 18:41:50 2026 sparse part has weight 1009703082 (94.99/col)
  210. Sat Apr 25 18:42:01 2026 BLanczosTime: 719
  211. Sat Apr 25 18:42:01 2026 elapsed time 00:49:25
  212. Sat Apr 25 18:42:27 2026
  213. Sat Apr 25 18:42:27 2026
  214. Sat Apr 25 18:42:27 2026 Msieve v. 1.54 (SVN unknown)
  215. Sat Apr 25 18:42:27 2026 random seeds: 53e31f45 490a4903
  216. Sat Apr 25 18:42:27 2026 Using 8 OpenMP threads
  217. Sat Apr 25 18:42:27 2026 factoring 49361887653880426317742522567155579788953651209226794143022979018871456989943199414473083211349286499358517898831317704701280452465387898745421838070800758676891319348235859349096051223478469019415631222301155610134004846766417195217697 (236 digits)
  218. Sat Apr 25 18:42:27 2026 no P-1/P+1/ECM available, skipping
  219. Sat Apr 25 18:42:27 2026 commencing number field sieve (236-digit input)
  220. Sat Apr 25 18:42:27 2026 R0: 18360394814725074529315546965675792450403
  221. Sat Apr 25 18:42:27 2026 R1: -1
  222. Sat Apr 25 18:42:27 2026 A0: 1
  223. Sat Apr 25 18:42:27 2026 A1: 1
  224. Sat Apr 25 18:42:27 2026 A2: 1
  225. Sat Apr 25 18:42:27 2026 A3: 1
  226. Sat Apr 25 18:42:27 2026 A4: 1
  227. Sat Apr 25 18:42:27 2026 A5: 1
  228. Sat Apr 25 18:42:27 2026 A6: 1
  229. Sat Apr 25 18:42:27 2026 skew 1.36, size 6.094e-12, alpha 2.428, combined = 4.459e-13 rroots = 0
  230. Sat Apr 25 18:42:27 2026
  231. Sat Apr 25 18:42:27 2026 commencing linear algebra
  232. Sat Apr 25 18:42:27 2026 using VBITS=256
  233. Sat Apr 25 18:42:27 2026 selecting density 100 for linear algebra
  234. Sat Apr 25 18:42:30 2026 matrix starts at (0, 0)
  235. Sat Apr 25 18:42:31 2026 matrix is 10629613 x 10629780 (4297.8 MB) with weight 1225468640 (115.29/col)
  236. Sat Apr 25 18:42:31 2026 sparse part has weight 1009703082 (94.99/col)
  237. Sat Apr 25 18:42:31 2026 saving the first 240 matrix rows for later
  238. Sat Apr 25 18:42:32 2026 matrix includes 256 packed rows
  239. Sat Apr 25 18:42:34 2026 matrix is 10629373 x 10629780 (3976.8 MB) with weight 920245920 (86.57/col)
  240. Sat Apr 25 18:42:34 2026 sparse part has weight 872412312 (82.07/col)
  241. Sat Apr 25 18:42:34 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  242. Sat Apr 25 18:42:34 2026 selected card has CUDA arch 12.0
  243. Sat Apr 25 18:43:12 2026 commencing Lanczos iteration
  244. Sat Apr 25 18:43:13 2026 memory use: 9332.2 MB
  245. Sat Apr 25 18:43:44 2026 linear algebra at 0.3%, ETA 2h58m
  246. Sat Apr 25 18:44:29 2026 checking every 60000 dimensions, checkpointing every 3660000 dimensions
  247. Sat Apr 25 21:37:01 2026 lanczos halted after 41647 iterations (dim = 10629369)
  248. Sat Apr 25 21:37:42 2026 recovered 34 nontrivial dependencies
  249. Sat Apr 25 21:37:42 2026 BLanczosTime: 10515
  250. Sat Apr 25 21:37:42 2026
  251. Sat Apr 25 21:37:42 2026 commencing square root phase
  252. Sat Apr 25 21:37:42 2026 handling dependencies 1 to 64
  253. Sat Apr 25 21:37:42 2026 reading relations for dependency 1
  254. Sat Apr 25 21:37:44 2026 read 5317563 cycles
  255. Sat Apr 25 21:37:54 2026 cycles contain 18310060 unique relations
  256. Sat Apr 25 21:40:27 2026 read 18310060 relations
  257. Sat Apr 25 21:41:38 2026 multiplying 18310060 relations
  258. Sat Apr 25 21:42:52 2026 multiply complete, coefficients have about 451.37 million bits
  259. Sat Apr 25 21:42:54 2026 initial square root is modulo 125622551
  260. Sat Apr 25 21:45:40 2026 sqrtTime: 478
  261. Sat Apr 25 21:45:40 2026 p99 factor: 599626036149431529976399494052102608765540412141438724122824735219326880389629822292498533647774653
  262. Sat Apr 25 21:45:40 2026 p137 factor: 82321121295638762445536070886001167996633198452294694404229829908695957467719160969317766816332241009956076409826689330983517453331824949
  263. Sat Apr 25 21:45:40 2026 elapsed time 03:03:13
  264.  
Tags: math
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