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beepthebee
Dec 27th, 2025
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  1. Sat Dec 27 14:30:35 2025
  2. Sat Dec 27 14:30:35 2025
  3. Sat Dec 27 14:30:35 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Dec 27 14:30:35 2025 random seeds: ea6b4240 769c269e
  5. Sat Dec 27 14:30:35 2025 factoring 23084550252579625821007877815620955908482713432255212442182107272416014945479347299227500743470748454319235376822125370993408515929117855856895730032729965311883949416418047363 (176 digits)
  6. Sat Dec 27 14:30:36 2025 searching for 15-digit factors
  7. Sat Dec 27 14:30:36 2025 commencing number field sieve (176-digit input)
  8. Sat Dec 27 14:30:36 2025 R0: 102380530655009560257707138518322661363842
  9. Sat Dec 27 14:30:36 2025 R1: -319969577702333382721
  10. Sat Dec 27 14:30:36 2025 A0: -1
  11. Sat Dec 27 14:30:36 2025 A1: 3
  12. Sat Dec 27 14:30:36 2025 A2: 6
  13. Sat Dec 27 14:30:36 2025 A3: -4
  14. Sat Dec 27 14:30:36 2025 A4: -5
  15. Sat Dec 27 14:30:36 2025 A5: 1
  16. Sat Dec 27 14:30:36 2025 A6: 1
  17. Sat Dec 27 14:30:36 2025 skew 1.38, size 4.321e-012, alpha 3.126, combined = 3.383e-013 rroots = 6
  18. Sat Dec 27 14:30:36 2025
  19. Sat Dec 27 14:30:36 2025 commencing relation filtering
  20. Sat Dec 27 14:30:36 2025 setting target matrix density to 110.0
  21. Sat Dec 27 14:30:36 2025 estimated available RAM is 63144.7 MB
  22. Sat Dec 27 14:30:36 2025 commencing duplicate removal, pass 1
  23. Sat Dec 27 14:32:49 2025 error -9 reading relation 34887905
  24. Sat Dec 27 14:33:37 2025 error -5 reading relation 47363816
  25. Sat Dec 27 14:34:30 2025 error -9 reading relation 61491021
  26. Sat Dec 27 14:34:37 2025 error -9 reading relation 63401950
  27. Sat Dec 27 14:34:53 2025 error -9 reading relation 67282589
  28. Sat Dec 27 14:35:05 2025 error -1 reading relation 70678817
  29. Sat Dec 27 14:35:26 2025 error -9 reading relation 76269383
  30. ...
  31. Sat Dec 27 14:46:12 2025 skipped 37 relations with b > 2^32
  32. Sat Dec 27 14:46:12 2025 skipped 108 relations with composite factors
  33. Sat Dec 27 14:46:12 2025 found 55780940 hash collisions in 244599397 relations
  34. Sat Dec 27 14:46:16 2025 added 2438358 free relations
  35. Sat Dec 27 14:46:16 2025 commencing duplicate removal, pass 2
  36. Sat Dec 27 14:48:04 2025 found 60615665 duplicates and 186422090 unique relations
  37. Sat Dec 27 14:48:04 2025 memory use: 1449.5 MB
  38. Sat Dec 27 14:48:04 2025 reading ideals above 720000
  39. Sat Dec 27 14:48:04 2025 commencing singleton removal, initial pass
  40. Sat Dec 27 15:02:41 2025 memory use: 5512.0 MB
  41. Sat Dec 27 15:02:41 2025 reading all ideals from disk
  42. Sat Dec 27 15:02:45 2025 memory use: 7338.6 MB
  43. Sat Dec 27 15:02:56 2025 keeping 174365530 ideals with weight <= 200, target excess is 917896
  44. Sat Dec 27 15:03:11 2025 commencing in-memory singleton removal
  45. Sat Dec 27 15:03:20 2025 begin with 186422090 relations and 174365530 unique ideals
  46. Sat Dec 27 15:05:15 2025 reduce to 117006704 relations and 97475227 ideals in 15 passes
  47. Sat Dec 27 15:05:15 2025 max relations containing the same ideal: 155
  48. Sat Dec 27 15:06:02 2025 removing 11449715 relations and 9449715 ideals in 2000000 cliques
  49. Sat Dec 27 15:06:04 2025 commencing in-memory singleton removal
  50. Sat Dec 27 15:06:09 2025 begin with 105556989 relations and 97475227 unique ideals
  51. Sat Dec 27 15:07:05 2025 reduce to 104651655 relations and 87099808 ideals in 9 passes
  52. Sat Dec 27 15:07:05 2025 max relations containing the same ideal: 143
  53. Sat Dec 27 15:07:51 2025 removing 8724154 relations and 6724154 ideals in 2000000 cliques
  54. Sat Dec 27 15:07:53 2025 commencing in-memory singleton removal
  55. Sat Dec 27 15:07:57 2025 begin with 95927501 relations and 87099808 unique ideals
  56. Sat Dec 27 15:08:55 2025 reduce to 95320413 relations and 79756488 ideals in 9 passes
  57. Sat Dec 27 15:08:55 2025 max relations containing the same ideal: 134
  58. Sat Dec 27 15:09:37 2025 removing 7916459 relations and 5916459 ideals in 2000000 cliques
  59. Sat Dec 27 15:09:39 2025 commencing in-memory singleton removal
  60. Sat Dec 27 15:09:43 2025 begin with 87403954 relations and 79756488 unique ideals
  61. Sat Dec 27 15:10:25 2025 reduce to 86858218 relations and 73283326 ideals in 8 passes
  62. Sat Dec 27 15:10:25 2025 max relations containing the same ideal: 126
  63. Sat Dec 27 15:11:01 2025 removing 7527656 relations and 5527656 ideals in 2000000 cliques
  64. Sat Dec 27 15:11:03 2025 commencing in-memory singleton removal
  65. Sat Dec 27 15:11:06 2025 begin with 79330562 relations and 73283326 unique ideals
  66. Sat Dec 27 15:11:41 2025 reduce to 78800115 relations and 67213812 ideals in 8 passes
  67. Sat Dec 27 15:11:41 2025 max relations containing the same ideal: 119
  68. Sat Dec 27 15:12:13 2025 removing 7298955 relations and 5298955 ideals in 2000000 cliques
  69. Sat Dec 27 15:12:14 2025 commencing in-memory singleton removal
  70. Sat Dec 27 15:12:17 2025 begin with 71501160 relations and 67213812 unique ideals
  71. Sat Dec 27 15:12:46 2025 reduce to 70961393 relations and 61362748 ideals in 7 passes
  72. Sat Dec 27 15:12:46 2025 max relations containing the same ideal: 113
  73. Sat Dec 27 15:13:15 2025 removing 7168111 relations and 5168111 ideals in 2000000 cliques
  74. Sat Dec 27 15:13:17 2025 commencing in-memory singleton removal
  75. Sat Dec 27 15:13:20 2025 begin with 63793282 relations and 61362748 unique ideals
  76. Sat Dec 27 15:13:50 2025 reduce to 63223036 relations and 55610311 ideals in 9 passes
  77. Sat Dec 27 15:13:50 2025 max relations containing the same ideal: 104
  78. Sat Dec 27 15:14:14 2025 removing 7098878 relations and 5098878 ideals in 2000000 cliques
  79. Sat Dec 27 15:14:16 2025 commencing in-memory singleton removal
  80. Sat Dec 27 15:14:18 2025 begin with 56124158 relations and 55610311 unique ideals
  81. Sat Dec 27 15:14:41 2025 reduce to 55504892 relations and 49874912 ideals in 8 passes
  82. Sat Dec 27 15:14:41 2025 max relations containing the same ideal: 96
  83. Sat Dec 27 15:15:03 2025 removing 7066591 relations and 5066591 ideals in 2000000 cliques
  84. Sat Dec 27 15:15:05 2025 commencing in-memory singleton removal
  85. Sat Dec 27 15:15:07 2025 begin with 48438301 relations and 49874912 unique ideals
  86. Sat Dec 27 15:15:27 2025 reduce to 47748823 relations and 44097095 ideals in 8 passes
  87. Sat Dec 27 15:15:27 2025 max relations containing the same ideal: 86
  88. Sat Dec 27 15:15:46 2025 removing 7072217 relations and 5072217 ideals in 2000000 cliques
  89. Sat Dec 27 15:15:47 2025 commencing in-memory singleton removal
  90. Sat Dec 27 15:15:49 2025 begin with 40676606 relations and 44097095 unique ideals
  91. Sat Dec 27 15:16:09 2025 reduce to 39872310 relations and 38191156 ideals in 10 passes
  92. Sat Dec 27 15:16:09 2025 max relations containing the same ideal: 77
  93. Sat Dec 27 15:16:25 2025 removing 2800749 relations and 2184355 ideals in 616394 cliques
  94. Sat Dec 27 15:16:26 2025 commencing in-memory singleton removal
  95. Sat Dec 27 15:16:27 2025 begin with 37071561 relations and 38191156 unique ideals
  96. Sat Dec 27 15:16:40 2025 reduce to 36924787 relations and 35857974 ideals in 7 passes
  97. Sat Dec 27 15:16:40 2025 max relations containing the same ideal: 71
  98. Sat Dec 27 15:16:58 2025 relations with 0 large ideals: 69381
  99. Sat Dec 27 15:16:58 2025 relations with 1 large ideals: 24152
  100. Sat Dec 27 15:16:58 2025 relations with 2 large ideals: 251501
  101. Sat Dec 27 15:16:58 2025 relations with 3 large ideals: 1445783
  102. Sat Dec 27 15:16:58 2025 relations with 4 large ideals: 4516908
  103. Sat Dec 27 15:16:58 2025 relations with 5 large ideals: 8405850
  104. Sat Dec 27 15:16:58 2025 relations with 6 large ideals: 9740237
  105. Sat Dec 27 15:16:58 2025 relations with 7+ large ideals: 12470975
  106. Sat Dec 27 15:16:58 2025 commencing 2-way merge
  107. Sat Dec 27 15:17:19 2025 reduce to 23926697 relation sets and 22859884 unique ideals
  108. Sat Dec 27 15:17:19 2025 commencing full merge
  109. Sat Dec 27 15:25:09 2025 memory use: 3098.9 MB
  110. Sat Dec 27 15:25:12 2025 found 11004786 cycles, need 10936084
  111. Sat Dec 27 15:25:13 2025 weight of 10936084 cycles is about 1203138609 (110.02/cycle)
  112. Sat Dec 27 15:25:13 2025 distribution of cycle lengths:
  113. Sat Dec 27 15:25:13 2025 1 relations: 657928
  114. Sat Dec 27 15:25:13 2025 2 relations: 762881
  115. Sat Dec 27 15:25:13 2025 3 relations: 823497
  116. Sat Dec 27 15:25:13 2025 4 relations: 820735
  117. Sat Dec 27 15:25:13 2025 5 relations: 808034
  118. Sat Dec 27 15:25:13 2025 6 relations: 787414
  119. Sat Dec 27 15:25:13 2025 7 relations: 755863
  120. Sat Dec 27 15:25:13 2025 8 relations: 715059
  121. Sat Dec 27 15:25:13 2025 9 relations: 670044
  122. Sat Dec 27 15:25:13 2025 10+ relations: 4134629
  123. Sat Dec 27 15:25:13 2025 heaviest cycle: 28 relations
  124. Sat Dec 27 15:25:19 2025 commencing cycle optimization
  125. Sat Dec 27 15:25:36 2025 start with 93084704 relations
  126. Sat Dec 27 15:29:16 2025 pruned 3956211 relations
  127. Sat Dec 27 15:29:16 2025 memory use: 2481.2 MB
  128. Sat Dec 27 15:29:16 2025 distribution of cycle lengths:
  129. Sat Dec 27 15:29:16 2025 1 relations: 657928
  130. Sat Dec 27 15:29:16 2025 2 relations: 778654
  131. Sat Dec 27 15:29:16 2025 3 relations: 854885
  132. Sat Dec 27 15:29:16 2025 4 relations: 851295
  133. Sat Dec 27 15:29:16 2025 5 relations: 845443
  134. Sat Dec 27 15:29:16 2025 6 relations: 821123
  135. Sat Dec 27 15:29:16 2025 7 relations: 791272
  136. Sat Dec 27 15:29:16 2025 8 relations: 745554
  137. Sat Dec 27 15:29:16 2025 9 relations: 698284
  138. Sat Dec 27 15:29:16 2025 10+ relations: 3891646
  139. Sat Dec 27 15:29:16 2025 heaviest cycle: 28 relations
  140. Sat Dec 27 15:29:31 2025 RelProcTime: 3535
  141. Sat Dec 27 15:29:31 2025 elapsed time 00:58:56
  142. Sat Dec 27 15:29:43 2025
  143. Sat Dec 27 15:29:43 2025
  144. Sat Dec 27 15:29:43 2025 Msieve v. 1.54 (SVN Unversioned directory)
  145. Sat Dec 27 15:29:43 2025 random seeds: 60a8b89c b2af6cde
  146. Sat Dec 27 15:29:43 2025 factoring 23084550252579625821007877815620955908482713432255212442182107272416014945479347299227500743470748454319235376822125370993408515929117855856895730032729965311883949416418047363 (176 digits)
  147. Sat Dec 27 15:29:43 2025 searching for 15-digit factors
  148. Sat Dec 27 15:29:44 2025 commencing number field sieve (176-digit input)
  149. Sat Dec 27 15:29:44 2025 R0: 102380530655009560257707138518322661363842
  150. Sat Dec 27 15:29:44 2025 R1: -319969577702333382721
  151. Sat Dec 27 15:29:44 2025 A0: -1
  152. Sat Dec 27 15:29:44 2025 A1: 3
  153. Sat Dec 27 15:29:44 2025 A2: 6
  154. Sat Dec 27 15:29:44 2025 A3: -4
  155. Sat Dec 27 15:29:44 2025 A4: -5
  156. Sat Dec 27 15:29:44 2025 A5: 1
  157. Sat Dec 27 15:29:44 2025 A6: 1
  158. Sat Dec 27 15:29:44 2025 skew 1.38, size 4.321e-012, alpha 3.126, combined = 3.383e-013 rroots = 6
  159. Sat Dec 27 15:29:44 2025
  160. Sat Dec 27 15:29:44 2025 commencing linear algebra
  161. Sat Dec 27 15:29:45 2025 read 10936084 cycles
  162. Sat Dec 27 15:30:05 2025 cycles contain 36310967 unique relations
  163. Sat Dec 27 15:32:17 2025 read 36310967 relations
  164. Sat Dec 27 15:33:31 2025 using 20 quadratic characters above 4294917295
  165. Sat Dec 27 15:35:18 2025 building initial matrix
  166. Sat Dec 27 15:40:14 2025 memory use: 4500.3 MB
  167. Sat Dec 27 15:40:21 2025 read 10936084 cycles
  168. Sat Dec 27 15:40:22 2025 matrix is 10935906 x 10936084 (4732.0 MB) with weight 1340735182 (122.60/col)
  169. Sat Dec 27 15:40:22 2025 sparse part has weight 1131115027 (103.43/col)
  170. Sat Dec 27 15:41:30 2025 filtering completed in 2 passes
  171. Sat Dec 27 15:41:32 2025 matrix is 10935319 x 10935482 (4732.0 MB) with weight 1340714519 (122.60/col)
  172. Sat Dec 27 15:41:32 2025 sparse part has weight 1131105837 (103.43/col)
  173. Sat Dec 27 15:41:51 2025 matrix starts at (0, 0)
  174. Sat Dec 27 15:41:53 2025 matrix is 10935319 x 10935482 (4732.0 MB) with weight 1340714519 (122.60/col)
  175. Sat Dec 27 15:41:53 2025 sparse part has weight 1131105837 (103.43/col)
  176. Sat Dec 27 15:41:53 2025 saving the first 240 matrix rows for later
  177. Sat Dec 27 15:41:55 2025 matrix includes 256 packed rows
  178. Sat Dec 27 15:41:58 2025 matrix is 10935079 x 10935482 (4392.1 MB) with weight 1028116928 (94.02/col)
  179. Sat Dec 27 15:41:58 2025 sparse part has weight 976393312 (89.29/col)
  180. Sat Dec 27 15:41:58 2025 using block size 8192 and superblock size 2359296 for processor cache size 98304 kB
  181. Sat Dec 27 15:42:16 2025 commencing Lanczos iteration
  182. Sat Dec 27 15:42:16 2025 memory use: 6181.3 MB
  183. Sat Dec 27 15:43:33 2025 linear algebra at 0.0%, ETA 131h11m
  184. Sat Dec 27 15:43:59 2025 checkpointing every 80000 dimensions
  185. Sat Dec 27 15:47:49 2025 lanczos halted after 30 iterations (dim = 7657)
  186. Sat Dec 27 15:47:52 2025 BLanczosTime: 1088
  187. Sat Dec 27 15:47:52 2025 elapsed time 00:18:09
  188. Sat Dec 27 15:48:25 2025
  189. Sat Dec 27 15:48:25 2025
  190. Sat Dec 27 15:48:25 2025 Msieve v. 1.54 (SVN unknown)
  191. Sat Dec 27 15:48:25 2025 random seeds: dbb15d9a 33268e7c
  192. Sat Dec 27 15:48:25 2025 factoring 23084550252579625821007877815620955908482713432255212442182107272416014945479347299227500743470748454319235376822125370993408515929117855856895730032729965311883949416418047363 (176 digits)
  193. Sat Dec 27 15:48:25 2025 no P-1/P+1/ECM available, skipping
  194. Sat Dec 27 15:48:25 2025 commencing number field sieve (176-digit input)
  195. Sat Dec 27 15:48:25 2025 R0: 102380530655009560257707138518322661363842
  196. Sat Dec 27 15:48:25 2025 R1: -319969577702333382721
  197. Sat Dec 27 15:48:25 2025 A0: -1
  198. Sat Dec 27 15:48:25 2025 A1: 3
  199. Sat Dec 27 15:48:25 2025 A2: 6
  200. Sat Dec 27 15:48:25 2025 A3: -4
  201. Sat Dec 27 15:48:25 2025 A4: -5
  202. Sat Dec 27 15:48:25 2025 A5: 1
  203. Sat Dec 27 15:48:25 2025 A6: 1
  204. Sat Dec 27 15:48:25 2025 skew 1.38, size 4.321e-12, alpha 3.126, combined = 3.383e-13 rroots = 6
  205. Sat Dec 27 15:48:25 2025
  206. Sat Dec 27 15:48:25 2025 commencing linear algebra
  207. Sat Dec 27 15:48:25 2025 using VBITS=256
  208. Sat Dec 27 15:48:25 2025 skipping matrix build
  209. Sat Dec 27 15:49:02 2025 matrix starts at (0, 0)
  210. Sat Dec 27 15:49:02 2025 matrix is 10935319 x 10935482 (4732.0 MB) with weight 1340714519 (122.60/col)
  211. Sat Dec 27 15:49:02 2025 sparse part has weight 1131105837 (103.43/col)
  212. Sat Dec 27 15:49:02 2025 saving the first 240 matrix rows for later
  213. Sat Dec 27 15:49:04 2025 matrix includes 256 packed rows
  214. Sat Dec 27 15:49:06 2025 matrix is 10935079 x 10935482 (4392.1 MB) with weight 1028116928 (94.02/col)
  215. Sat Dec 27 15:49:06 2025 sparse part has weight 976393312 (89.29/col)
  216. Sat Dec 27 15:49:06 2025 using GPU 0 (NVIDIA GeForce RTX 5070 Ti)
  217. Sat Dec 27 15:49:06 2025 selected card has CUDA arch 12.0
  218. Sat Dec 27 15:49:50 2025 commencing Lanczos iteration
  219. Sat Dec 27 15:49:51 2025 memory use: 10202.5 MB
  220. Sat Dec 27 15:50:17 2025 linear algebra at 0.3%, ETA 2h34m
  221. Sat Dec 27 15:50:56 2025 checking every 70000 dimensions, checkpointing every 4270000 dimensions
  222. Sat Dec 27 18:35:03 2025 lanczos halted after 42845 iterations (dim = 10935077)
  223. Sat Dec 27 18:35:25 2025 recovered 34 nontrivial dependencies
  224. Sat Dec 27 18:35:27 2025 BLanczosTime: 10022
  225. Sat Dec 27 18:35:27 2025 elapsed time 02:47:02
  226. Sat Dec 27 21:20:17 2025
  227. Sat Dec 27 21:20:17 2025
  228. Sat Dec 27 21:20:17 2025 Msieve v. 1.54 (SVN Unversioned directory)
  229. Sat Dec 27 21:20:17 2025 random seeds: cd88a038 7b7da7f0
  230. Sat Dec 27 21:20:17 2025 factoring 23084550252579625821007877815620955908482713432255212442182107272416014945479347299227500743470748454319235376822125370993408515929117855856895730032729965311883949416418047363 (176 digits)
  231. Sat Dec 27 21:20:18 2025 searching for 15-digit factors
  232. Sat Dec 27 21:20:18 2025 commencing number field sieve (176-digit input)
  233. Sat Dec 27 21:20:18 2025 R0: 102380530655009560257707138518322661363842
  234. Sat Dec 27 21:20:18 2025 R1: -319969577702333382721
  235. Sat Dec 27 21:20:18 2025 A0: -1
  236. Sat Dec 27 21:20:18 2025 A1: 3
  237. Sat Dec 27 21:20:18 2025 A2: 6
  238. Sat Dec 27 21:20:18 2025 A3: -4
  239. Sat Dec 27 21:20:18 2025 A4: -5
  240. Sat Dec 27 21:20:18 2025 A5: 1
  241. Sat Dec 27 21:20:18 2025 A6: 1
  242. Sat Dec 27 21:20:18 2025 skew 1.38, size 4.321e-012, alpha 3.126, combined = 3.383e-013 rroots = 6
  243. Sat Dec 27 21:20:18 2025
  244. Sat Dec 27 21:20:18 2025 commencing square root phase
  245. Sat Dec 27 21:20:18 2025 reading relations for dependency 1
  246. Sat Dec 27 21:20:19 2025 read 5467374 cycles
  247. Sat Dec 27 21:20:29 2025 cycles contain 18157654 unique relations
  248. Sat Dec 27 21:21:37 2025 read 18157654 relations
  249. Sat Dec 27 21:22:38 2025 multiplying 18157654 relations
  250. Sat Dec 27 21:30:05 2025 multiply complete, coefficients have about 450.10 million bits
  251. Sat Dec 27 21:30:06 2025 initial square root is modulo 119169161
  252. Sat Dec 27 21:37:57 2025 GCD is 1, no factor found
  253. Sat Dec 27 21:37:57 2025 reading relations for dependency 2
  254. Sat Dec 27 21:37:59 2025 read 5466157 cycles
  255. Sat Dec 27 21:38:07 2025 cycles contain 18150148 unique relations
  256. Sat Dec 27 21:39:09 2025 read 18150148 relations
  257. Sat Dec 27 21:40:06 2025 multiplying 18150148 relations
  258. Sat Dec 27 21:47:10 2025 multiply complete, coefficients have about 449.91 million bits
  259. Sat Dec 27 21:47:11 2025 initial square root is modulo 118265089
  260. Sat Dec 27 21:54:05 2025 sqrtTime: 2027
  261. Sat Dec 27 21:54:05 2025 p71 factor: 32259734528967464737171046216545352158058589941131175811872876844606781
  262. Sat Dec 27 21:54:05 2025 p105 factor: 715584011760883251963561603414949223791064682963436608967019669773119516959035263051120214683867615359423
  263. Sat Dec 27 21:54:05 2025 elapsed time 00:33:48
  264.  
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