kyleaskine

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Mar 14th, 2026
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  1. Fri Mar 13 23:13:34 2026
  2. Fri Mar 13 23:13:34 2026
  3. Fri Mar 13 23:13:34 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Mar 13 23:13:34 2026 random seeds: 5ef770e3 819332d6
  5. Fri Mar 13 23:13:34 2026 factoring 7959192059605247872743741381239411139036296696182396793449164901401766578590806539322363966255918457315541217086329876968996721039372111833196981667051481007404188435775173283466667149582394641326321036541 (205 digits)
  6. Fri Mar 13 23:13:34 2026 no P-1/P+1/ECM available, skipping
  7. Fri Mar 13 23:13:34 2026 commencing number field sieve (205-digit input)
  8. Fri Mar 13 23:13:34 2026 R0: 5570748970960291921935923156205230544832578720554473
  9. Fri Mar 13 23:13:34 2026 R1: -1
  10. Fri Mar 13 23:13:34 2026 A0: 1
  11. Fri Mar 13 23:13:34 2026 A1: 1
  12. Fri Mar 13 23:13:34 2026 A2: 1
  13. Fri Mar 13 23:13:34 2026 A3: 1
  14. Fri Mar 13 23:13:34 2026 A4: 1
  15. Fri Mar 13 23:13:34 2026 skew 1.93, size 4.099e-21, alpha 1.694, combined = 1.306e-12 rroots = 0
  16. Fri Mar 13 23:13:34 2026
  17. Fri Mar 13 23:13:34 2026 commencing relation filtering
  18. Fri Mar 13 23:13:34 2026 setting target matrix density to 110.0
  19. Fri Mar 13 23:13:34 2026 estimated available RAM is 95911.2 MB
  20. Fri Mar 13 23:13:34 2026 commencing duplicate removal, pass 1
  21. Fri Mar 13 23:13:47 2026 error -9 reading relation 2808912
  22. Fri Mar 13 23:15:15 2026 error -15 reading relation 20690542
  23. Fri Mar 13 23:15:19 2026 error -9 reading relation 21437068
  24. Fri Mar 13 23:15:55 2026 error -9 reading relation 28949210
  25. Fri Mar 13 23:15:57 2026 error -15 reading relation 29410204
  26. Fri Mar 13 23:16:29 2026 error -15 reading relation 36210017
  27. Fri Mar 13 23:16:48 2026 error -9 reading relation 40175002
  28. Fri Mar 13 23:16:59 2026 error -9 reading relation 42562658
  29. Fri Mar 13 23:17:09 2026 error -9 reading relation 44636743
  30. Fri Mar 13 23:18:10 2026 error -5 reading relation 57128391
  31. Fri Mar 13 23:18:11 2026 error -9 reading relation 57426627
  32. Fri Mar 13 23:18:52 2026 error -9 reading relation 66105035
  33. Fri Mar 13 23:19:27 2026 error -9 reading relation 73616737
  34. Fri Mar 13 23:19:37 2026 error -9 reading relation 75781256
  35. Fri Mar 13 23:20:10 2026 error -1 reading relation 82889200
  36. Fri Mar 13 23:20:10 2026 error -9 reading relation 82934706
  37. Fri Mar 13 23:20:42 2026 error -9 reading relation 89998511
  38. Fri Mar 13 23:20:42 2026 error -5 reading relation 90007683
  39. Fri Mar 13 23:20:50 2026 error -9 reading relation 91987747
  40. Fri Mar 13 23:20:50 2026 error -5 reading relation 92058355
  41. Fri Mar 13 23:21:04 2026 error -9 reading relation 95028936
  42. Fri Mar 13 23:21:05 2026 error -9 reading relation 95186415
  43. Fri Mar 13 23:21:05 2026 error -9 reading relation 95240187
  44. Fri Mar 13 23:21:08 2026 error -9 reading relation 95828418
  45. Fri Mar 13 23:21:22 2026 error -9 reading relation 99120969
  46. Fri Mar 13 23:21:23 2026 error -5 reading relation 99432503
  47. Fri Mar 13 23:21:27 2026 error -9 reading relation 100366273
  48. Fri Mar 13 23:21:57 2026 error -9 reading relation 107507032
  49. Fri Mar 13 23:22:09 2026 error -9 reading relation 109940514
  50. Fri Mar 13 23:22:11 2026 error -9 reading relation 110333760
  51. Fri Mar 13 23:22:11 2026 error -1 reading relation 110392845
  52. Fri Mar 13 23:22:11 2026 error -1 reading relation 110436207
  53. Fri Mar 13 23:22:11 2026 error -1 reading relation 110520358
  54. Fri Mar 13 23:22:11 2026 error -9 reading relation 110566632
  55. Fri Mar 13 23:22:11 2026 error -9 reading relation 110568165
  56. Fri Mar 13 23:22:20 2026 error -9 reading relation 112493639
  57. Fri Mar 13 23:22:20 2026 error -9 reading relation 112588884
  58. Fri Mar 13 23:22:20 2026 error -9 reading relation 112627298
  59. Fri Mar 13 23:22:21 2026 error -15 reading relation 112674728
  60. Fri Mar 13 23:22:23 2026 error -9 reading relation 113117118
  61. Fri Mar 13 23:22:23 2026 error -9 reading relation 113205383
  62. Fri Mar 13 23:22:23 2026 error -15 reading relation 113226661
  63. Fri Mar 13 23:22:23 2026 error -9 reading relation 113284392
  64. Fri Mar 13 23:22:24 2026 error -15 reading relation 113378099
  65. Fri Mar 13 23:22:24 2026 error -9 reading relation 113396603
  66. Fri Mar 13 23:22:24 2026 error -9 reading relation 113466092
  67. Fri Mar 13 23:22:24 2026 error -9 reading relation 113480818
  68. Fri Mar 13 23:22:25 2026 error -15 reading relation 113639080
  69. Fri Mar 13 23:22:25 2026 error -9 reading relation 113760110
  70. Fri Mar 13 23:22:26 2026 error -15 reading relation 113841823
  71. Fri Mar 13 23:22:26 2026 error -9 reading relation 114007115
  72. Fri Mar 13 23:22:27 2026 error -9 reading relation 114095796
  73. Fri Mar 13 23:22:27 2026 error -9 reading relation 114181770
  74. Fri Mar 13 23:22:28 2026 error -1 reading relation 114381012
  75. Fri Mar 13 23:22:28 2026 error -9 reading relation 114443165
  76. Fri Mar 13 23:22:29 2026 error -9 reading relation 114482396
  77. Fri Mar 13 23:22:30 2026 error -9 reading relation 114731878
  78. Fri Mar 13 23:22:33 2026 error -5 reading relation 115539376
  79. Fri Mar 13 23:22:44 2026 error -9 reading relation 118399304
  80. Fri Mar 13 23:22:51 2026 error -9 reading relation 119907499
  81. Fri Mar 13 23:22:51 2026 error -9 reading relation 120112214
  82. Fri Mar 13 23:22:52 2026 error -9 reading relation 120236069
  83. Fri Mar 13 23:23:16 2026 error -5 reading relation 126067162
  84. Fri Mar 13 23:23:17 2026 error -9 reading relation 126237658
  85. Fri Mar 13 23:23:42 2026 skipped 94 relations with b > 2^32
  86. Fri Mar 13 23:23:42 2026 skipped 35 relations with composite factors
  87. Fri Mar 13 23:23:42 2026 found 16571064 hash collisions in 132283694 relations
  88. Fri Mar 13 23:23:48 2026 added 3657737 free relations
  89. Fri Mar 13 23:23:48 2026 commencing duplicate removal, pass 2
  90. Fri Mar 13 23:26:11 2026 found 11945512 duplicates and 123995919 unique relations
  91. Fri Mar 13 23:26:11 2026 memory use: 660.8 MB
  92. Fri Mar 13 23:26:11 2026 reading ideals above 720000
  93. Fri Mar 13 23:26:11 2026 commencing singleton removal, initial pass
  94. Fri Mar 13 23:39:47 2026 memory use: 3012.0 MB
  95. Fri Mar 13 23:39:47 2026 reading all ideals from disk
  96. Fri Mar 13 23:39:50 2026 memory use: 4605.4 MB
  97. Fri Mar 13 23:40:02 2026 keeping 117733316 ideals with weight <= 200, target excess is 630993
  98. Fri Mar 13 23:40:23 2026 commencing in-memory singleton removal
  99. Fri Mar 13 23:40:33 2026 begin with 123995919 relations and 117733316 unique ideals
  100. Fri Mar 13 23:44:45 2026 reduce to 68020365 relations and 54691915 ideals in 17 passes
  101. Fri Mar 13 23:44:45 2026 max relations containing the same ideal: 143
  102. Fri Mar 13 23:45:26 2026 removing 9643046 relations and 7643046 ideals in 2000000 cliques
  103. Fri Mar 13 23:45:30 2026 commencing in-memory singleton removal
  104. Fri Mar 13 23:45:35 2026 begin with 58377319 relations and 54691915 unique ideals
  105. Fri Mar 13 23:47:31 2026 reduce to 57253653 relations and 45881975 ideals in 10 passes
  106. Fri Mar 13 23:47:31 2026 max relations containing the same ideal: 124
  107. Fri Mar 13 23:48:06 2026 removing 7549784 relations and 5549784 ideals in 2000000 cliques
  108. Fri Mar 13 23:48:10 2026 commencing in-memory singleton removal
  109. Fri Mar 13 23:48:14 2026 begin with 49703869 relations and 45881975 unique ideals
  110. Fri Mar 13 23:49:33 2026 reduce to 48916041 relations and 39515355 ideals in 8 passes
  111. Fri Mar 13 23:49:33 2026 max relations containing the same ideal: 113
  112. Fri Mar 13 23:50:03 2026 removing 6934882 relations and 4934882 ideals in 2000000 cliques
  113. Fri Mar 13 23:50:06 2026 commencing in-memory singleton removal
  114. Fri Mar 13 23:50:09 2026 begin with 41981159 relations and 39515355 unique ideals
  115. Fri Mar 13 23:51:32 2026 reduce to 41255200 relations and 33825880 ideals in 10 passes
  116. Fri Mar 13 23:51:32 2026 max relations containing the same ideal: 101
  117. Fri Mar 13 23:51:58 2026 removing 6607384 relations and 4607384 ideals in 2000000 cliques
  118. Fri Mar 13 23:52:01 2026 commencing in-memory singleton removal
  119. Fri Mar 13 23:52:03 2026 begin with 34647816 relations and 33825880 unique ideals
  120. Fri Mar 13 23:52:50 2026 reduce to 33925104 relations and 28463027 ideals in 7 passes
  121. Fri Mar 13 23:52:50 2026 max relations containing the same ideal: 88
  122. Fri Mar 13 23:53:11 2026 removing 6379159 relations and 4379159 ideals in 2000000 cliques
  123. Fri Mar 13 23:53:14 2026 commencing in-memory singleton removal
  124. Fri Mar 13 23:53:16 2026 begin with 27545945 relations and 28463027 unique ideals
  125. Fri Mar 13 23:54:11 2026 reduce to 26786290 relations and 23283014 ideals in 10 passes
  126. Fri Mar 13 23:54:11 2026 max relations containing the same ideal: 75
  127. Fri Mar 13 23:54:28 2026 removing 6177015 relations and 4177015 ideals in 2000000 cliques
  128. Fri Mar 13 23:54:31 2026 commencing in-memory singleton removal
  129. Fri Mar 13 23:54:32 2026 begin with 20609275 relations and 23283014 unique ideals
  130. Fri Mar 13 23:55:08 2026 reduce to 19774578 relations and 18214325 ideals in 9 passes
  131. Fri Mar 13 23:55:08 2026 max relations containing the same ideal: 62
  132. Fri Mar 13 23:55:21 2026 removing 2949634 relations and 2121333 ideals in 828301 cliques
  133. Fri Mar 13 23:55:22 2026 commencing in-memory singleton removal
  134. Fri Mar 13 23:55:23 2026 begin with 16824944 relations and 18214325 unique ideals
  135. Fri Mar 13 23:55:45 2026 reduce to 16554757 relations and 15812339 ideals in 7 passes
  136. Fri Mar 13 23:55:45 2026 max relations containing the same ideal: 54
  137. Fri Mar 13 23:55:55 2026 removing 70975 relations and 60509 ideals in 10466 cliques
  138. Fri Mar 13 23:55:57 2026 commencing in-memory singleton removal
  139. Fri Mar 13 23:55:58 2026 begin with 16483782 relations and 15812339 unique ideals
  140. Fri Mar 13 23:56:11 2026 reduce to 16483624 relations and 15751672 ideals in 4 passes
  141. Fri Mar 13 23:56:11 2026 max relations containing the same ideal: 54
  142. Fri Mar 13 23:56:13 2026 relations with 0 large ideals: 50576
  143. Fri Mar 13 23:56:13 2026 relations with 1 large ideals: 14913
  144. Fri Mar 13 23:56:13 2026 relations with 2 large ideals: 170121
  145. Fri Mar 13 23:56:13 2026 relations with 3 large ideals: 925828
  146. Fri Mar 13 23:56:13 2026 relations with 4 large ideals: 2663239
  147. Fri Mar 13 23:56:13 2026 relations with 5 large ideals: 4874538
  148. Fri Mar 13 23:56:13 2026 relations with 6 large ideals: 4157246
  149. Fri Mar 13 23:56:13 2026 relations with 7+ large ideals: 3627163
  150. Fri Mar 13 23:56:13 2026 commencing 2-way merge
  151. Fri Mar 13 23:56:28 2026 reduce to 10805904 relation sets and 10073952 unique ideals
  152. Fri Mar 13 23:56:28 2026 commencing full merge
  153. Sat Mar 14 00:01:25 2026 memory use: 1309.7 MB
  154. Sat Mar 14 00:01:27 2026 found 5042115 cycles, need 4984152
  155. Sat Mar 14 00:01:27 2026 weight of 4984152 cycles is about 548425406 (110.03/cycle)
  156. Sat Mar 14 00:01:27 2026 distribution of cycle lengths:
  157. Sat Mar 14 00:01:27 2026 1 relations: 163546
  158. Sat Mar 14 00:01:27 2026 2 relations: 253175
  159. Sat Mar 14 00:01:27 2026 3 relations: 328977
  160. Sat Mar 14 00:01:27 2026 4 relations: 357863
  161. Sat Mar 14 00:01:27 2026 5 relations: 371993
  162. Sat Mar 14 00:01:27 2026 6 relations: 374699
  163. Sat Mar 14 00:01:27 2026 7 relations: 368428
  164. Sat Mar 14 00:01:27 2026 8 relations: 355198
  165. Sat Mar 14 00:01:27 2026 9 relations: 334873
  166. Sat Mar 14 00:01:27 2026 10+ relations: 2075400
  167. Sat Mar 14 00:01:27 2026 heaviest cycle: 28 relations
  168. Sat Mar 14 00:01:30 2026 commencing cycle optimization
  169. Sat Mar 14 00:01:43 2026 start with 45258534 relations
  170. Sat Mar 14 00:04:09 2026 pruned 2178893 relations
  171. Sat Mar 14 00:04:09 2026 memory use: 1149.9 MB
  172. Sat Mar 14 00:04:09 2026 distribution of cycle lengths:
  173. Sat Mar 14 00:04:09 2026 1 relations: 163546
  174. Sat Mar 14 00:04:09 2026 2 relations: 259236
  175. Sat Mar 14 00:04:09 2026 3 relations: 343051
  176. Sat Mar 14 00:04:09 2026 4 relations: 374275
  177. Sat Mar 14 00:04:09 2026 5 relations: 392926
  178. Sat Mar 14 00:04:09 2026 6 relations: 395331
  179. Sat Mar 14 00:04:09 2026 7 relations: 390428
  180. Sat Mar 14 00:04:09 2026 8 relations: 374269
  181. Sat Mar 14 00:04:09 2026 9 relations: 352428
  182. Sat Mar 14 00:04:09 2026 10+ relations: 1938662
  183. Sat Mar 14 00:04:09 2026 heaviest cycle: 28 relations
  184. Sat Mar 14 00:04:21 2026 RelProcTime: 3047
  185. Sat Mar 14 00:04:21 2026
  186. Sat Mar 14 00:04:21 2026 commencing linear algebra
  187. Sat Mar 14 00:04:22 2026 read 4984152 cycles
  188. Sat Mar 14 00:04:33 2026 cycles contain 16110615 unique relations
  189. Sat Mar 14 00:06:36 2026 read 16110615 relations
  190. Sat Mar 14 00:07:18 2026 using 20 quadratic characters above 4294917295
  191. Sat Mar 14 00:07:57 2026 building initial matrix
  192. Sat Mar 14 00:11:31 2026 memory use: 1969.0 MB
  193. Sat Mar 14 00:11:35 2026 read 4984152 cycles
  194. Sat Mar 14 00:11:36 2026 matrix is 4983975 x 4984152 (2173.5 MB) with weight 625511506 (125.50/col)
  195. Sat Mar 14 00:11:36 2026 sparse part has weight 514944089 (103.32/col)
  196. Sat Mar 14 00:12:35 2026 filtering completed in 2 passes
  197. Sat Mar 14 00:12:37 2026 matrix is 4983815 x 4983992 (2173.5 MB) with weight 625504989 (125.50/col)
  198. Sat Mar 14 00:12:37 2026 sparse part has weight 514941147 (103.32/col)
  199. Sat Mar 14 00:12:53 2026 matrix starts at (0, 0)
  200. Sat Mar 14 00:12:54 2026 matrix is 4983815 x 4983992 (2173.5 MB) with weight 625504989 (125.50/col)
  201. Sat Mar 14 00:12:54 2026 sparse part has weight 514941147 (103.32/col)
  202. Sat Mar 14 00:12:54 2026 saving the first 48 matrix rows for later
  203. Sat Mar 14 00:12:55 2026 matrix includes 64 packed rows
  204. Sat Mar 14 00:12:56 2026 matrix is 4983767 x 4983992 (2078.5 MB) with weight 532802276 (106.90/col)
  205. Sat Mar 14 00:12:56 2026 sparse part has weight 495027233 (99.32/col)
  206. Sat Mar 14 00:12:56 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB
  207. Sat Mar 14 00:13:12 2026 commencing Lanczos iteration (32 threads)
  208. Sat Mar 14 00:13:12 2026 memory use: 1981.0 MB
  209. Sat Mar 14 00:13:20 2026 linear algebra at 0.0%, ETA 6h23m
  210. Sat Mar 14 00:13:23 2026 checkpointing every 730000 dimensions
  211. Sat Mar 14 07:04:34 2026 lanczos halted after 78815 iterations (dim = 4983766)
  212. Sat Mar 14 07:04:37 2026 recovered 36 nontrivial dependencies
  213. Sat Mar 14 07:04:38 2026 BLanczosTime: 25217
  214. Sat Mar 14 07:04:38 2026
  215. Sat Mar 14 07:04:38 2026 commencing square root phase
  216. Sat Mar 14 07:04:38 2026 handling dependencies 1 to 64
  217. Sat Mar 14 07:04:38 2026 reading relations for dependency 1
  218. Sat Mar 14 07:04:39 2026 read 2490420 cycles
  219. Sat Mar 14 07:04:44 2026 cycles contain 8051514 unique relations
  220. Sat Mar 14 07:06:26 2026 read 8051514 relations
  221. Sat Mar 14 07:07:04 2026 multiplying 8051514 relations
  222. Sat Mar 14 07:09:19 2026 multiply complete, coefficients have about 203.28 million bits
  223. Sat Mar 14 07:09:19 2026 initial square root is modulo 19728253
  224. Sat Mar 14 07:12:10 2026 sqrtTime: 452
  225. Sat Mar 14 07:12:10 2026 p97 factor: 5508641715948751828106591327845010264055371520694055324657238409808982364887584397992871882974101
  226. Sat Mar 14 07:12:10 2026 p109 factor: 1444855641375550677221447530711361745258536219738347944540983311335993341598824820393393372364008687871658441
  227. Sat Mar 14 07:12:10 2026 elapsed time 07:58:36
  228.  
Tags: math
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