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kyleaskine
Mar 17th, 2026
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  1. Mon Mar 16 19:04:12 2026
  2. Mon Mar 16 19:04:12 2026
  3. Mon Mar 16 19:04:12 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Mar 16 19:04:12 2026 random seeds: 5d7c3a93 2d9d4955
  5. Mon Mar 16 19:04:12 2026 factoring 42327023298180664839687939644932867819573463143491910806429879236738894484154602667835380837146790137307231852193703752877385150449547780641791617193288527407956000939757922080633595745321478621120142425545771 (209 digits)
  6. Mon Mar 16 19:04:13 2026 no P-1/P+1/ECM available, skipping
  7. Mon Mar 16 19:04:13 2026 commencing number field sieve (209-digit input)
  8. Mon Mar 16 19:04:13 2026 R0: 22545326493931625949640681224902631561221076722
  9. Mon Mar 16 19:04:13 2026 R1: -150151012297392207590311
  10. Mon Mar 16 19:04:13 2026 A0: 1
  11. Mon Mar 16 19:04:13 2026 A1: 3
  12. Mon Mar 16 19:04:13 2026 A2: -3
  13. Mon Mar 16 19:04:13 2026 A3: -4
  14. Mon Mar 16 19:04:13 2026 A4: 1
  15. Mon Mar 16 19:04:13 2026 A5: 1
  16. Mon Mar 16 19:04:13 2026 skew 1.48, size 9.005e-16, alpha 2.379, combined = 8.857e-13 rroots = 5
  17. Mon Mar 16 19:04:13 2026
  18. Mon Mar 16 19:04:13 2026 commencing relation filtering
  19. Mon Mar 16 19:04:13 2026 setting target matrix density to 100.0
  20. Mon Mar 16 19:04:13 2026 estimated available RAM is 95911.2 MB
  21. Mon Mar 16 19:04:13 2026 commencing duplicate removal, pass 1
  22. Mon Mar 16 19:04:27 2026 error -15 reading relation 3239053
  23. Mon Mar 16 19:04:50 2026 error -9 reading relation 8404595
  24. Mon Mar 16 19:04:50 2026 error -1 reading relation 8414135
  25. Mon Mar 16 19:04:50 2026 error -9 reading relation 8415956
  26. Mon Mar 16 19:04:52 2026 error -9 reading relation 8841289
  27. Mon Mar 16 19:04:52 2026 error -9 reading relation 8854493
  28. Mon Mar 16 19:06:23 2026 error -5 reading relation 29845199
  29. Mon Mar 16 19:06:23 2026 error -1 reading relation 29858797
  30. Mon Mar 16 19:06:29 2026 error -9 reading relation 31125816
  31. Mon Mar 16 19:06:29 2026 error -15 reading relation 31139224
  32. Mon Mar 16 19:06:59 2026 error -9 reading relation 38048385
  33. Mon Mar 16 19:07:12 2026 error -9 reading relation 40975815
  34. Mon Mar 16 19:08:20 2026 error -9 reading relation 56382902
  35. Mon Mar 16 19:08:32 2026 error -9 reading relation 59340132
  36. Mon Mar 16 19:08:32 2026 error -5 reading relation 59344371
  37. Mon Mar 16 19:09:01 2026 error -9 reading relation 66022409
  38. Mon Mar 16 19:09:05 2026 error -5 reading relation 67046241
  39. Mon Mar 16 19:09:12 2026 error -5 reading relation 68757132
  40. Mon Mar 16 19:09:28 2026 error -9 reading relation 72434428
  41. Mon Mar 16 19:09:30 2026 error -9 reading relation 73031729
  42. Mon Mar 16 19:09:32 2026 error -9 reading relation 73384228
  43. Mon Mar 16 19:09:33 2026 error -15 reading relation 73661729
  44. Mon Mar 16 19:09:38 2026 error -9 reading relation 74930662
  45. Mon Mar 16 19:09:43 2026 error -9 reading relation 76173127
  46. Mon Mar 16 19:09:43 2026 error -9 reading relation 76180928
  47. Mon Mar 16 19:09:44 2026 error -9 reading relation 76266691
  48. Mon Mar 16 19:09:44 2026 error -9 reading relation 76368572
  49. Mon Mar 16 19:09:44 2026 error -9 reading relation 76426503
  50. Mon Mar 16 19:09:45 2026 error -9 reading relation 76641963
  51. Mon Mar 16 19:09:46 2026 error -9 reading relation 76913495
  52. Mon Mar 16 19:09:46 2026 error -15 reading relation 76947197
  53. Mon Mar 16 19:09:47 2026 error -9 reading relation 77008456
  54. Mon Mar 16 19:09:51 2026 error -9 reading relation 78050034
  55. Mon Mar 16 19:09:54 2026 error -9 reading relation 78764006
  56. Mon Mar 16 19:10:04 2026 error -15 reading relation 81249001
  57. Mon Mar 16 19:10:06 2026 error -15 reading relation 81698839
  58. Mon Mar 16 19:10:06 2026 error -9 reading relation 81722918
  59. Mon Mar 16 19:10:06 2026 error -15 reading relation 81766147
  60. Mon Mar 16 19:10:11 2026 error -9 reading relation 82700668
  61. Mon Mar 16 19:10:21 2026 error -9 reading relation 85186092
  62. Mon Mar 16 19:10:21 2026 error -9 reading relation 85206323
  63. Mon Mar 16 19:10:22 2026 error -5 reading relation 85306483
  64. Mon Mar 16 19:10:26 2026 error -9 reading relation 86381662
  65. Mon Mar 16 19:10:29 2026 error -9 reading relation 86989326
  66. Mon Mar 16 19:10:33 2026 error -9 reading relation 87992685
  67. Mon Mar 16 19:10:34 2026 error -9 reading relation 88230931
  68. Mon Mar 16 19:10:42 2026 error -9 reading relation 90321603
  69. Mon Mar 16 19:10:49 2026 error -15 reading relation 91928522
  70. Mon Mar 16 19:10:52 2026 error -9 reading relation 92706761
  71. Mon Mar 16 19:10:53 2026 error -5 reading relation 92906690
  72. Mon Mar 16 19:10:53 2026 error -15 reading relation 93020460
  73. Mon Mar 16 19:10:56 2026 error -15 reading relation 93759324
  74. Mon Mar 16 19:10:56 2026 error -9 reading relation 93795774
  75. Mon Mar 16 19:11:48 2026 error -9 reading relation 107149055
  76. Mon Mar 16 19:12:03 2026 error -1 reading relation 110743435
  77. Mon Mar 16 19:12:03 2026 error -1 reading relation 110759877
  78. Mon Mar 16 19:12:16 2026 error -9 reading relation 113995767
  79. Mon Mar 16 19:12:28 2026 error -9 reading relation 116910329
  80. Mon Mar 16 19:12:28 2026 error -5 reading relation 117010699
  81. Mon Mar 16 19:12:29 2026 error -9 reading relation 117278288
  82. Mon Mar 16 19:12:59 2026 error -9 reading relation 124737670
  83. Mon Mar 16 19:13:13 2026 error -5 reading relation 128141629
  84. Mon Mar 16 19:13:13 2026 skipped 21 relations with b > 2^32
  85. Mon Mar 16 19:13:13 2026 skipped 19 relations with composite factors
  86. Mon Mar 16 19:13:13 2026 found 19708354 hash collisions in 128181795 relations
  87. Mon Mar 16 19:13:18 2026 added 2926300 free relations
  88. Mon Mar 16 19:13:18 2026 commencing duplicate removal, pass 2
  89. Mon Mar 16 19:15:49 2026 found 16562131 duplicates and 114545964 unique relations
  90. Mon Mar 16 19:15:49 2026 memory use: 660.8 MB
  91. Mon Mar 16 19:15:49 2026 reading ideals above 720000
  92. Mon Mar 16 19:15:49 2026 commencing singleton removal, initial pass
  93. Mon Mar 16 19:28:19 2026 memory use: 3012.0 MB
  94. Mon Mar 16 19:28:19 2026 reading all ideals from disk
  95. Mon Mar 16 19:28:23 2026 memory use: 4325.9 MB
  96. Mon Mar 16 19:28:35 2026 keeping 115240851 ideals with weight <= 200, target excess is 586386
  97. Mon Mar 16 19:28:55 2026 commencing in-memory singleton removal
  98. Mon Mar 16 19:29:05 2026 begin with 114545964 relations and 115240851 unique ideals
  99. Mon Mar 16 19:32:22 2026 reduce to 57385422 relations and 50360782 ideals in 15 passes
  100. Mon Mar 16 19:32:22 2026 max relations containing the same ideal: 129
  101. Mon Mar 16 19:32:59 2026 removing 6596672 relations and 5596672 ideals in 1000000 cliques
  102. Mon Mar 16 19:33:03 2026 commencing in-memory singleton removal
  103. Mon Mar 16 19:33:07 2026 begin with 50788750 relations and 50360782 unique ideals
  104. Mon Mar 16 19:34:44 2026 reduce to 50126471 relations and 44086057 ideals in 9 passes
  105. Mon Mar 16 19:34:44 2026 max relations containing the same ideal: 120
  106. Mon Mar 16 19:35:14 2026 removing 5053662 relations and 4053662 ideals in 1000000 cliques
  107. Mon Mar 16 19:35:17 2026 commencing in-memory singleton removal
  108. Mon Mar 16 19:35:21 2026 begin with 45072809 relations and 44086057 unique ideals
  109. Mon Mar 16 19:36:38 2026 reduce to 44629267 relations and 39579588 ideals in 8 passes
  110. Mon Mar 16 19:36:38 2026 max relations containing the same ideal: 112
  111. Mon Mar 16 19:37:06 2026 removing 4595224 relations and 3595224 ideals in 1000000 cliques
  112. Mon Mar 16 19:37:08 2026 commencing in-memory singleton removal
  113. Mon Mar 16 19:37:11 2026 begin with 40034043 relations and 39579588 unique ideals
  114. Mon Mar 16 19:38:28 2026 reduce to 39631208 relations and 35572830 ideals in 9 passes
  115. Mon Mar 16 19:38:28 2026 max relations containing the same ideal: 100
  116. Mon Mar 16 19:38:54 2026 removing 4366580 relations and 3366580 ideals in 1000000 cliques
  117. Mon Mar 16 19:38:56 2026 commencing in-memory singleton removal
  118. Mon Mar 16 19:38:59 2026 begin with 35264628 relations and 35572830 unique ideals
  119. Mon Mar 16 19:39:58 2026 reduce to 34867976 relations and 31800294 ideals in 8 passes
  120. Mon Mar 16 19:39:58 2026 max relations containing the same ideal: 92
  121. Mon Mar 16 19:40:21 2026 removing 4227061 relations and 3227061 ideals in 1000000 cliques
  122. Mon Mar 16 19:40:23 2026 commencing in-memory singleton removal
  123. Mon Mar 16 19:40:26 2026 begin with 30640915 relations and 31800294 unique ideals
  124. Mon Mar 16 19:41:37 2026 reduce to 30229073 relations and 28150650 ideals in 11 passes
  125. Mon Mar 16 19:41:37 2026 max relations containing the same ideal: 85
  126. Mon Mar 16 19:41:57 2026 removing 4133232 relations and 3133232 ideals in 1000000 cliques
  127. Mon Mar 16 19:41:59 2026 commencing in-memory singleton removal
  128. Mon Mar 16 19:42:02 2026 begin with 26095841 relations and 28150650 unique ideals
  129. Mon Mar 16 19:42:45 2026 reduce to 25650787 relations and 24559124 ideals in 8 passes
  130. Mon Mar 16 19:42:45 2026 max relations containing the same ideal: 76
  131. Mon Mar 16 19:43:02 2026 removing 2034081 relations and 1622626 ideals in 411455 cliques
  132. Mon Mar 16 19:43:03 2026 commencing in-memory singleton removal
  133. Mon Mar 16 19:43:05 2026 begin with 23616706 relations and 24559124 unique ideals
  134. Mon Mar 16 19:43:44 2026 reduce to 23500962 relations and 22819094 ideals in 8 passes
  135. Mon Mar 16 19:43:44 2026 max relations containing the same ideal: 73
  136. Mon Mar 16 19:44:02 2026 relations with 0 large ideals: 46551
  137. Mon Mar 16 19:44:02 2026 relations with 1 large ideals: 10131
  138. Mon Mar 16 19:44:02 2026 relations with 2 large ideals: 124389
  139. Mon Mar 16 19:44:02 2026 relations with 3 large ideals: 778169
  140. Mon Mar 16 19:44:02 2026 relations with 4 large ideals: 2628481
  141. Mon Mar 16 19:44:02 2026 relations with 5 large ideals: 5207507
  142. Mon Mar 16 19:44:02 2026 relations with 6 large ideals: 7118162
  143. Mon Mar 16 19:44:02 2026 relations with 7+ large ideals: 7587572
  144. Mon Mar 16 19:44:02 2026 commencing 2-way merge
  145. Mon Mar 16 19:44:26 2026 reduce to 14645322 relation sets and 13963454 unique ideals
  146. Mon Mar 16 19:44:26 2026 commencing full merge
  147. Mon Mar 16 19:52:34 2026 memory use: 1895.8 MB
  148. Mon Mar 16 19:52:38 2026 found 6938107 cycles, need 6883654
  149. Mon Mar 16 19:52:39 2026 weight of 6883654 cycles is about 688465929 (100.01/cycle)
  150. Mon Mar 16 19:52:39 2026 distribution of cycle lengths:
  151. Mon Mar 16 19:52:39 2026 1 relations: 504538
  152. Mon Mar 16 19:52:39 2026 2 relations: 558567
  153. Mon Mar 16 19:52:39 2026 3 relations: 567592
  154. Mon Mar 16 19:52:39 2026 4 relations: 545096
  155. Mon Mar 16 19:52:39 2026 5 relations: 524621
  156. Mon Mar 16 19:52:39 2026 6 relations: 497704
  157. Mon Mar 16 19:52:39 2026 7 relations: 468762
  158. Mon Mar 16 19:52:39 2026 8 relations: 437216
  159. Mon Mar 16 19:52:39 2026 9 relations: 402977
  160. Mon Mar 16 19:52:39 2026 10+ relations: 2376581
  161. Mon Mar 16 19:52:39 2026 heaviest cycle: 28 relations
  162. Mon Mar 16 19:52:43 2026 commencing cycle optimization
  163. Mon Mar 16 19:53:01 2026 start with 55208229 relations
  164. Mon Mar 16 19:55:59 2026 pruned 2064734 relations
  165. Mon Mar 16 19:56:00 2026 memory use: 1532.8 MB
  166. Mon Mar 16 19:56:00 2026 distribution of cycle lengths:
  167. Mon Mar 16 19:56:00 2026 1 relations: 504538
  168. Mon Mar 16 19:56:00 2026 2 relations: 568657
  169. Mon Mar 16 19:56:00 2026 3 relations: 586808
  170. Mon Mar 16 19:56:00 2026 4 relations: 563127
  171. Mon Mar 16 19:56:00 2026 5 relations: 545667
  172. Mon Mar 16 19:56:00 2026 6 relations: 516298
  173. Mon Mar 16 19:56:00 2026 7 relations: 486987
  174. Mon Mar 16 19:56:00 2026 8 relations: 451728
  175. Mon Mar 16 19:56:00 2026 9 relations: 416322
  176. Mon Mar 16 19:56:00 2026 10+ relations: 2243522
  177. Mon Mar 16 19:56:00 2026 heaviest cycle: 28 relations
  178. Mon Mar 16 19:56:18 2026 RelProcTime: 3125
  179. Mon Mar 16 19:56:18 2026
  180. Mon Mar 16 19:56:18 2026 commencing linear algebra
  181. Mon Mar 16 19:56:20 2026 read 6883654 cycles
  182. Mon Mar 16 19:56:35 2026 cycles contain 23051999 unique relations
  183. Mon Mar 16 19:58:55 2026 read 23051999 relations
  184. Mon Mar 16 20:00:02 2026 using 20 quadratic characters above 4294917295
  185. Mon Mar 16 20:00:54 2026 building initial matrix
  186. Mon Mar 16 20:05:45 2026 memory use: 2818.9 MB
  187. Mon Mar 16 20:05:51 2026 read 6883654 cycles
  188. Mon Mar 16 20:05:53 2026 matrix is 6883473 x 6883654 (2779.6 MB) with weight 794962046 (115.49/col)
  189. Mon Mar 16 20:05:53 2026 sparse part has weight 652924353 (94.85/col)
  190. Mon Mar 16 20:07:21 2026 filtering completed in 2 passes
  191. Mon Mar 16 20:07:23 2026 matrix is 6882768 x 6882949 (2779.5 MB) with weight 794937738 (115.49/col)
  192. Mon Mar 16 20:07:23 2026 sparse part has weight 652914859 (94.86/col)
  193. Mon Mar 16 20:07:49 2026 matrix starts at (0, 0)
  194. Mon Mar 16 20:07:50 2026 matrix is 6882768 x 6882949 (2779.5 MB) with weight 794937738 (115.49/col)
  195. Mon Mar 16 20:07:50 2026 sparse part has weight 652914859 (94.86/col)
  196. Mon Mar 16 20:07:50 2026 saving the first 48 matrix rows for later
  197. Mon Mar 16 20:07:52 2026 matrix includes 64 packed rows
  198. Mon Mar 16 20:07:53 2026 matrix is 6882720 x 6882949 (2660.4 MB) with weight 673502351 (97.85/col)
  199. Mon Mar 16 20:07:53 2026 sparse part has weight 628566691 (91.32/col)
  200. Mon Mar 16 20:07:53 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB
  201. Mon Mar 16 20:08:15 2026 commencing Lanczos iteration (32 threads)
  202. Mon Mar 16 20:08:15 2026 memory use: 2563.8 MB
  203. Mon Mar 16 20:08:30 2026 linear algebra at 0.0%, ETA 17h38m
  204. Mon Mar 16 20:08:34 2026 checkpointing every 410000 dimensions
  205. Tue Mar 17 06:30:20 2026 lanczos halted after 108841 iterations (dim = 6882715)
  206. Tue Mar 17 06:30:24 2026 recovered 31 nontrivial dependencies
  207. Tue Mar 17 06:30:24 2026 BLanczosTime: 38046
  208. Tue Mar 17 06:30:24 2026
  209. Tue Mar 17 06:30:24 2026 commencing square root phase
  210. Tue Mar 17 06:30:24 2026 handling dependencies 1 to 64
  211. Tue Mar 17 06:30:24 2026 reading relations for dependency 1
  212. Tue Mar 17 06:30:25 2026 read 3441174 cycles
  213. Tue Mar 17 06:30:28 2026 cycles contain 11525408 unique relations
  214. Tue Mar 17 06:31:56 2026 read 11525408 relations
  215. Tue Mar 17 06:32:21 2026 multiplying 11525408 relations
  216. Tue Mar 17 06:37:16 2026 multiply complete, coefficients have about 284.70 million bits
  217. Tue Mar 17 06:37:17 2026 initial square root is modulo 128377
  218. Tue Mar 17 06:43:15 2026 GCD is N, no factor found
  219. Tue Mar 17 06:43:15 2026 reading relations for dependency 2
  220. Tue Mar 17 06:43:17 2026 read 3442490 cycles
  221. Tue Mar 17 06:43:25 2026 cycles contain 11527108 unique relations
  222. Tue Mar 17 06:45:15 2026 read 11527108 relations
  223. Tue Mar 17 06:46:15 2026 multiplying 11527108 relations
  224. Tue Mar 17 06:51:13 2026 multiply complete, coefficients have about 284.74 million bits
  225. Tue Mar 17 06:51:14 2026 initial square root is modulo 128621
  226. Tue Mar 17 06:57:02 2026 sqrtTime: 1598
  227. Tue Mar 17 06:57:02 2026 p78 factor: 693025844406601812745199885903731155124024056657989129858211620081601986932429
  228. Tue Mar 17 06:57:02 2026 p131 factor: 61075677970455577212584630869427612812176229432228883984616352396791404752049153505514409190338766600261665866740028948353286915799
  229. Tue Mar 17 06:57:02 2026 elapsed time 11:52:50
  230.  
Tags: math
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