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kyleaskine
Aug 8th, 2026
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  1. Sat Aug 8 08:51:12 2026
  2. Sat Aug 8 08:51:12 2026
  3. Sat Aug 8 08:51:12 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Aug 8 08:51:12 2026 random seeds: 46426753 a45d7c58
  5. Sat Aug 8 08:51:12 2026 Using 8 OpenMP threads
  6. Sat Aug 8 08:51:12 2026 factoring 447231981503126525186102040882862635073379848517822366568924728413385629926821712084942957444770444873894202427179200730607791034831048516564424430098989364567422981 (165 digits)
  7. Sat Aug 8 08:51:13 2026 no P-1/P+1/ECM available, skipping
  8. Sat Aug 8 08:51:13 2026 commencing number field sieve (165-digit input)
  9. Sat Aug 8 08:51:13 2026 R0: -99717569724248747126226917246199
  10. Sat Aug 8 08:51:13 2026 R1: 61454890326287762161
  11. Sat Aug 8 08:51:13 2026 A0: 43557959391816156681520351393405267152
  12. Sat Aug 8 08:51:13 2026 A1: -90274712078328846981790454863190
  13. Sat Aug 8 08:51:13 2026 A2: -11895476959280802640587823
  14. Sat Aug 8 08:51:13 2026 A3: 8040709898065991887
  15. Sat Aug 8 08:51:13 2026 A4: 1402106407854
  16. Sat Aug 8 08:51:13 2026 A5: 272160
  17. Sat Aug 8 08:51:13 2026 skew 3047816.30, size 6.176e-16, alpha -6.597, combined = 8.877e-13 rroots = 3
  18. Sat Aug 8 08:51:13 2026
  19. Sat Aug 8 08:51:13 2026 commencing relation filtering
  20. Sat Aug 8 08:51:13 2026 setting 3 target densities:Sat Aug 8 08:51:13 2026 100Sat Aug 8 08:51:13 2026 120Sat Aug 8 08:51:13 2026 140Sat Aug 8 08:51:13 2026
  21. Sat Aug 8 08:51:13 2026 estimated available RAM is 78540.1 MB
  22. Sat Aug 8 08:51:13 2026 commencing duplicate removal, pass 1
  23. Sat Aug 8 08:53:46 2026 error -1 reading relation 52475147
  24. Sat Aug 8 08:53:51 2026 error -1 reading relation 54321366
  25. Sat Aug 8 08:53:55 2026 error -1 reading relation 55844519
  26. Sat Aug 8 08:54:13 2026 error -1 reading relation 61127647
  27. Sat Aug 8 08:54:20 2026 error -1 reading relation 63390263
  28. Sat Aug 8 08:54:28 2026 error -1 reading relation 66382042
  29. Sat Aug 8 08:55:12 2026 error -1 reading relation 80597406
  30. Sat Aug 8 08:55:15 2026 error -1 reading relation 81682376
  31. Sat Aug 8 08:55:15 2026 error -1 reading relation 81682377
  32. Sat Aug 8 08:57:39 2026 error -1 reading relation 135008571
  33. Sat Aug 8 08:58:00 2026 error -1 reading relation 142328059
  34. Sat Aug 8 08:58:40 2026 error -1 reading relation 155156209
  35. Sat Aug 8 08:59:08 2026 error -1 reading relation 165836734
  36. Sat Aug 8 08:59:29 2026 skipped 1 relations with composite factors
  37. Sat Aug 8 08:59:29 2026 skipped 125 malformed relations
  38. Sat Aug 8 08:59:29 2026 found 33847891 hash collisions in 173186713 relations
  39. Sat Aug 8 08:59:47 2026 added 121560 free relations
  40. Sat Aug 8 08:59:47 2026 commencing duplicate removal, pass 2
  41. Sat Aug 8 09:01:43 2026 found 35443839 duplicates and 137864434 unique relations
  42. Sat Aug 8 09:01:43 2026 memory use: 852.8 MB
  43. Sat Aug 8 09:01:43 2026 reading ideals above 720000
  44. Sat Aug 8 09:01:43 2026 commencing singleton removal, initial pass
  45. Sat Aug 8 09:15:55 2026 memory use: 3012.0 MB
  46. Sat Aug 8 09:15:55 2026 reading all ideals from disk
  47. Sat Aug 8 09:16:01 2026 memory use: 6287.2 MB
  48. Sat Aug 8 09:16:21 2026 keeping 125936552 ideals with weight <= 200, target excess is 703963
  49. Sat Aug 8 09:16:43 2026 commencing in-memory singleton removal
  50. Sat Aug 8 09:16:46 2026 begin with 137864434 relations and 125936552 unique ideals
  51. Sat Aug 8 09:17:18 2026 reduce to 86722618 relations and 69602428 ideals in 16 passes
  52. Sat Aug 8 09:17:18 2026 max relations containing the same ideal: 153
  53. Sat Aug 8 09:18:11 2026 removing 9322763 relations and 7322763 ideals in 2000000 cliques
  54. Sat Aug 8 09:18:13 2026 commencing in-memory singleton removal
  55. Sat Aug 8 09:18:15 2026 begin with 77399855 relations and 69602428 unique ideals
  56. Sat Aug 8 09:18:28 2026 reduce to 76630767 relations and 61488828 ideals in 8 passes
  57. Sat Aug 8 09:18:28 2026 max relations containing the same ideal: 140
  58. Sat Aug 8 09:19:14 2026 removing 7341545 relations and 5341545 ideals in 2000000 cliques
  59. Sat Aug 8 09:19:16 2026 commencing in-memory singleton removal
  60. Sat Aug 8 09:19:17 2026 begin with 69289222 relations and 61488828 unique ideals
  61. Sat Aug 8 09:19:30 2026 reduce to 68729821 relations and 55573528 ideals in 9 passes
  62. Sat Aug 8 09:19:30 2026 max relations containing the same ideal: 132
  63. Sat Aug 8 09:20:08 2026 removing 6811436 relations and 4811436 ideals in 2000000 cliques
  64. Sat Aug 8 09:20:10 2026 commencing in-memory singleton removal
  65. Sat Aug 8 09:20:11 2026 begin with 61918385 relations and 55573528 unique ideals
  66. Sat Aug 8 09:20:19 2026 reduce to 61393647 relations and 50223184 ideals in 7 passes
  67. Sat Aug 8 09:20:19 2026 max relations containing the same ideal: 121
  68. Sat Aug 8 09:20:56 2026 removing 6573097 relations and 4573097 ideals in 2000000 cliques
  69. Sat Aug 8 09:20:59 2026 commencing in-memory singleton removal
  70. Sat Aug 8 09:21:00 2026 begin with 54820550 relations and 50223184 unique ideals
  71. Sat Aug 8 09:21:09 2026 reduce to 54286424 relations and 45100372 ideals in 8 passes
  72. Sat Aug 8 09:21:09 2026 max relations containing the same ideal: 112
  73. Sat Aug 8 09:21:41 2026 removing 6456085 relations and 4456085 ideals in 2000000 cliques
  74. Sat Aug 8 09:21:43 2026 commencing in-memory singleton removal
  75. Sat Aug 8 09:21:44 2026 begin with 47830339 relations and 45100372 unique ideals
  76. Sat Aug 8 09:21:49 2026 reduce to 47260682 relations and 40055950 ideals in 7 passes
  77. Sat Aug 8 09:21:49 2026 max relations containing the same ideal: 102
  78. Sat Aug 8 09:22:19 2026 removing 6417394 relations and 4417394 ideals in 2000000 cliques
  79. Sat Aug 8 09:22:20 2026 commencing in-memory singleton removal
  80. Sat Aug 8 09:22:21 2026 begin with 40843288 relations and 40055950 unique ideals
  81. Sat Aug 8 09:22:28 2026 reduce to 40204100 relations and 34975665 ideals in 8 passes
  82. Sat Aug 8 09:22:28 2026 max relations containing the same ideal: 93
  83. Sat Aug 8 09:22:52 2026 removing 6433218 relations and 4433218 ideals in 2000000 cliques
  84. Sat Aug 8 09:22:54 2026 commencing in-memory singleton removal
  85. Sat Aug 8 09:22:55 2026 begin with 33770882 relations and 34975665 unique ideals
  86. Sat Aug 8 09:23:00 2026 reduce to 33019103 relations and 29757876 ideals in 8 passes
  87. Sat Aug 8 09:23:00 2026 max relations containing the same ideal: 80
  88. Sat Aug 8 09:23:22 2026 removing 6494494 relations and 4494494 ideals in 2000000 cliques
  89. Sat Aug 8 09:23:24 2026 commencing in-memory singleton removal
  90. Sat Aug 8 09:23:25 2026 begin with 26524609 relations and 29757876 unique ideals
  91. Sat Aug 8 09:23:30 2026 reduce to 25583011 relations and 24271768 ideals in 9 passes
  92. Sat Aug 8 09:23:30 2026 max relations containing the same ideal: 68
  93. Sat Aug 8 09:23:48 2026 removing 2229962 relations and 1735317 ideals in 494645 cliques
  94. Sat Aug 8 09:23:49 2026 commencing in-memory singleton removal
  95. Sat Aug 8 09:23:49 2026 begin with 23353049 relations and 24271768 unique ideals
  96. Sat Aug 8 09:23:51 2026 reduce to 23214074 relations and 22395092 ideals in 8 passes
  97. Sat Aug 8 09:23:51 2026 max relations containing the same ideal: 63
  98. Sat Aug 8 09:24:08 2026 trying target density 100
  99. Sat Aug 8 09:24:10 2026 relations with 0 large ideals: 2701
  100. Sat Aug 8 09:24:10 2026 relations with 1 large ideals: 15724
  101. Sat Aug 8 09:24:10 2026 relations with 2 large ideals: 213284
  102. Sat Aug 8 09:24:10 2026 relations with 3 large ideals: 1190520
  103. Sat Aug 8 09:24:10 2026 relations with 4 large ideals: 3495832
  104. Sat Aug 8 09:24:10 2026 relations with 5 large ideals: 5987328
  105. Sat Aug 8 09:24:10 2026 relations with 6 large ideals: 6285837
  106. Sat Aug 8 09:24:10 2026 relations with 7+ large ideals: 6022848
  107. Sat Aug 8 09:24:10 2026 commencing 2-way merge
  108. Sat Aug 8 09:24:30 2026 reduce to 14671295 relation sets and 13852313 unique ideals
  109. Sat Aug 8 09:24:30 2026 commencing full merge
  110. Sat Aug 8 09:31:18 2026 memory use: 1725.2 MB
  111. Sat Aug 8 09:31:22 2026 found 7032016 cycles, need 6928513
  112. Sat Aug 8 09:31:25 2026 weight of 6928513 cycles is about 693374099 (100.08/cycle)
  113. Sat Aug 8 09:31:25 2026 distribution of cycle lengths:
  114. Sat Aug 8 09:31:25 2026 1 relations: 426644
  115. Sat Aug 8 09:31:25 2026 2 relations: 551769
  116. Sat Aug 8 09:31:25 2026 3 relations: 607122
  117. Sat Aug 8 09:31:25 2026 4 relations: 604756
  118. Sat Aug 8 09:31:25 2026 5 relations: 602576
  119. Sat Aug 8 09:31:25 2026 6 relations: 584535
  120. Sat Aug 8 09:31:25 2026 7 relations: 555581
  121. Sat Aug 8 09:31:25 2026 8 relations: 513455
  122. Sat Aug 8 09:31:25 2026 9 relations: 462443
  123. Sat Aug 8 09:31:25 2026 10+ relations: 2019632
  124. Sat Aug 8 09:31:25 2026 heaviest cycle: 23 relations
  125. Sat Aug 8 09:31:28 2026 commencing cycle optimization
  126. Sat Aug 8 09:31:45 2026 start with 50768550 relations
  127. Sat Aug 8 09:33:59 2026 pruned 1919369 relations
  128. Sat Aug 8 09:34:00 2026 memory use: 1476.0 MB
  129. Sat Aug 8 09:34:00 2026 distribution of cycle lengths:
  130. Sat Aug 8 09:34:00 2026 1 relations: 426644
  131. Sat Aug 8 09:34:00 2026 2 relations: 566046
  132. Sat Aug 8 09:34:00 2026 3 relations: 632842
  133. Sat Aug 8 09:34:00 2026 4 relations: 628164
  134. Sat Aug 8 09:34:00 2026 5 relations: 630348
  135. Sat Aug 8 09:34:00 2026 6 relations: 608021
  136. Sat Aug 8 09:34:00 2026 7 relations: 579262
  137. Sat Aug 8 09:34:00 2026 8 relations: 531232
  138. Sat Aug 8 09:34:00 2026 9 relations: 474124
  139. Sat Aug 8 09:34:00 2026 10+ relations: 1851830
  140. Sat Aug 8 09:34:00 2026 heaviest cycle: 23 relations
  141. Sat Aug 8 09:34:19 2026 trying target density 120
  142. Sat Aug 8 09:34:21 2026 relations with 0 large ideals: 2701
  143. Sat Aug 8 09:34:21 2026 relations with 1 large ideals: 15724
  144. Sat Aug 8 09:34:21 2026 relations with 2 large ideals: 213284
  145. Sat Aug 8 09:34:21 2026 relations with 3 large ideals: 1190520
  146. Sat Aug 8 09:34:21 2026 relations with 4 large ideals: 3495832
  147. Sat Aug 8 09:34:21 2026 relations with 5 large ideals: 5987328
  148. Sat Aug 8 09:34:21 2026 relations with 6 large ideals: 6285837
  149. Sat Aug 8 09:34:21 2026 relations with 7+ large ideals: 6022848
  150. Sat Aug 8 09:34:21 2026 commencing 2-way merge
  151. Sat Aug 8 09:34:41 2026 reduce to 14671295 relation sets and 13852313 unique ideals
  152. Sat Aug 8 09:34:41 2026 commencing full merge
  153. Sat Aug 8 09:42:58 2026 memory use: 1766.1 MB
  154. Sat Aug 8 09:43:01 2026 found 6614464 cycles, need 6546513
  155. Sat Aug 8 09:43:03 2026 weight of 6546513 cycles is about 786109442 (120.08/cycle)
  156. Sat Aug 8 09:43:03 2026 distribution of cycle lengths:
  157. Sat Aug 8 09:43:03 2026 1 relations: 274090
  158. Sat Aug 8 09:43:03 2026 2 relations: 409126
  159. Sat Aug 8 09:43:03 2026 3 relations: 469013
  160. Sat Aug 8 09:43:03 2026 4 relations: 479222
  161. Sat Aug 8 09:43:03 2026 5 relations: 486463
  162. Sat Aug 8 09:43:03 2026 6 relations: 480743
  163. Sat Aug 8 09:43:04 2026 7 relations: 473416
  164. Sat Aug 8 09:43:04 2026 8 relations: 449836
  165. Sat Aug 8 09:43:04 2026 9 relations: 426078
  166. Sat Aug 8 09:43:04 2026 10+ relations: 2598526
  167. Sat Aug 8 09:43:04 2026 heaviest cycle: 27 relations
  168. Sat Aug 8 09:43:05 2026 commencing cycle optimization
  169. Sat Aug 8 09:43:26 2026 start with 57345109 relations
  170. Sat Aug 8 09:46:31 2026 pruned 2570771 relations
  171. Sat Aug 8 09:46:31 2026 memory use: 1543.0 MB
  172. Sat Aug 8 09:46:31 2026 distribution of cycle lengths:
  173. Sat Aug 8 09:46:31 2026 1 relations: 274090
  174. Sat Aug 8 09:46:31 2026 2 relations: 420218
  175. Sat Aug 8 09:46:31 2026 3 relations: 489846
  176. Sat Aug 8 09:46:31 2026 4 relations: 499337
  177. Sat Aug 8 09:46:31 2026 5 relations: 511255
  178. Sat Aug 8 09:46:31 2026 6 relations: 503907
  179. Sat Aug 8 09:46:31 2026 7 relations: 497790
  180. Sat Aug 8 09:46:31 2026 8 relations: 472059
  181. Sat Aug 8 09:46:31 2026 9 relations: 445197
  182. Sat Aug 8 09:46:31 2026 10+ relations: 2432814
  183. Sat Aug 8 09:46:31 2026 heaviest cycle: 27 relations
  184. Sat Aug 8 09:46:50 2026 trying target density 140
  185. Sat Aug 8 09:46:53 2026 relations with 0 large ideals: 2701
  186. Sat Aug 8 09:46:53 2026 relations with 1 large ideals: 15724
  187. Sat Aug 8 09:46:53 2026 relations with 2 large ideals: 213284
  188. Sat Aug 8 09:46:53 2026 relations with 3 large ideals: 1190520
  189. Sat Aug 8 09:46:53 2026 relations with 4 large ideals: 3495832
  190. Sat Aug 8 09:46:53 2026 relations with 5 large ideals: 5987328
  191. Sat Aug 8 09:46:53 2026 relations with 6 large ideals: 6285837
  192. Sat Aug 8 09:46:53 2026 relations with 7+ large ideals: 6022848
  193. Sat Aug 8 09:46:53 2026 commencing 2-way merge
  194. Sat Aug 8 09:47:08 2026 reduce to 14671295 relation sets and 13852313 unique ideals
  195. Sat Aug 8 09:47:08 2026 commencing full merge
  196. Sat Aug 8 10:02:17 2026 memory use: 647.2 MB
  197. Sat Aug 8 10:02:17 2026 found 20655 cycles, need 3313163
  198. Sat Aug 8 10:02:17 2026 too few cycles, matrix probably cannot build
  199. Sat Aug 8 10:02:18 2026 RelProcTime: 4265
  200. Sat Aug 8 10:02:18 2026
  201. Sat Aug 8 10:02:18 2026 commencing linear algebra
  202. Sat Aug 8 10:02:18 2026 using VBITS=256
  203. Sat Aug 8 10:02:18 2026 building matrices for all densities
  204. Sat Aug 8 10:02:18 2026 found 2 density files
  205. Sat Aug 8 10:02:18 2026 building matrix for density 100
  206. Sat Aug 8 10:02:19 2026 read 6928513 cycles
  207. Sat Aug 8 10:02:32 2026 cycles contain 22728469 unique relations
  208. Sat Aug 8 10:03:25 2026 read 22728469 relations
  209. Sat Aug 8 10:03:33 2026 using 20 quadratic characters above 4294917295
  210. Sat Aug 8 10:03:47 2026 building initial matrix
  211. Sat Aug 8 10:09:31 2026 memory use: 3154.4 MB
  212. Sat Aug 8 10:09:36 2026 read 6928513 cycles
  213. Sat Aug 8 10:09:37 2026 matrix is 6928334 x 6928513 (2792.3 MB) with weight 865860267 (124.97/col)
  214. Sat Aug 8 10:09:37 2026 sparse part has weight 655770001 (94.65/col)
  215. Sat Aug 8 10:10:54 2026 filtering completed in 2 passes
  216. Sat Aug 8 10:10:56 2026 matrix is 6927366 x 6927545 (2792.2 MB) with weight 865815251 (124.98/col)
  217. Sat Aug 8 10:10:56 2026 sparse part has weight 655754968 (94.66/col)
  218. Sat Aug 8 10:11:21 2026 building matrix for density 120
  219. Sat Aug 8 10:11:22 2026 read 6546513 cycles
  220. Sat Aug 8 10:11:37 2026 cycles contain 22732755 unique relations
  221. Sat Aug 8 10:12:19 2026 read 22732755 relations
  222. Sat Aug 8 10:12:28 2026 using 20 quadratic characters above 4294917295
  223. Sat Aug 8 10:12:41 2026 building initial matrix
  224. Sat Aug 8 10:19:29 2026 memory use: 3149.9 MB
  225. Sat Aug 8 10:19:34 2026 read 6546513 cycles
  226. Sat Aug 8 10:19:35 2026 matrix is 6546336 x 6546513 (3071.2 MB) with weight 942278384 (143.94/col)
  227. Sat Aug 8 10:19:35 2026 sparse part has weight 733072417 (111.98/col)
  228. Sat Aug 8 10:21:01 2026 filtering completed in 2 passes
  229. Sat Aug 8 10:21:04 2026 matrix is 6545992 x 6546169 (3071.1 MB) with weight 942260530 (143.94/col)
  230. Sat Aug 8 10:21:04 2026 sparse part has weight 733065802 (111.98/col)
  231. Sat Aug 8 10:21:27 2026 BLanczosTime: 1149
  232. Sat Aug 8 10:21:27 2026 elapsed time 01:30:15
  233. Sat Aug 8 15:26:59 2026
  234. Sat Aug 8 15:26:59 2026
  235. Sat Aug 8 15:26:59 2026 Msieve v. 1.54 (SVN unknown)
  236. Sat Aug 8 15:26:59 2026 random seeds: 7359c3bc 4a121aa3
  237. Sat Aug 8 15:26:59 2026 Using 8 OpenMP threads
  238. Sat Aug 8 15:26:59 2026 factoring 447231981503126525186102040882862635073379848517822366568924728413385629926821712084942957444770444873894202427179200730607791034831048516564424430098989364567422981 (165 digits)
  239. Sat Aug 8 15:27:00 2026 no P-1/P+1/ECM available, skipping
  240. Sat Aug 8 15:27:00 2026 commencing number field sieve (165-digit input)
  241. Sat Aug 8 15:27:00 2026 R0: -99717569724248747126226917246199
  242. Sat Aug 8 15:27:00 2026 R1: 61454890326287762161
  243. Sat Aug 8 15:27:00 2026 A0: 43557959391816156681520351393405267152
  244. Sat Aug 8 15:27:00 2026 A1: -90274712078328846981790454863190
  245. Sat Aug 8 15:27:00 2026 A2: -11895476959280802640587823
  246. Sat Aug 8 15:27:00 2026 A3: 8040709898065991887
  247. Sat Aug 8 15:27:00 2026 A4: 1402106407854
  248. Sat Aug 8 15:27:00 2026 A5: 272160
  249. Sat Aug 8 15:27:00 2026 skew 3047816.30, size 6.176e-16, alpha -6.597, combined = 8.877e-13 rroots = 3
  250. Sat Aug 8 15:27:00 2026
  251. Sat Aug 8 15:27:00 2026 commencing linear algebra
  252. Sat Aug 8 15:27:00 2026 using VBITS=256
  253. Sat Aug 8 15:27:00 2026 skipping matrix build
  254. Sat Aug 8 15:27:02 2026 matrix starts at (0, 0)
  255. Sat Aug 8 15:27:03 2026 matrix is 6545992 x 6546169 (3071.1 MB) with weight 942260530 (143.94/col)
  256. Sat Aug 8 15:27:03 2026 sparse part has weight 733065802 (111.98/col)
  257. Sat Aug 8 15:27:03 2026 saving the first 240 matrix rows for later
  258. Sat Aug 8 15:27:04 2026 matrix includes 256 packed rows
  259. Sat Aug 8 15:27:06 2026 matrix is 6545752 x 6546169 (2789.0 MB) with weight 668420281 (102.11/col)
  260. Sat Aug 8 15:27:06 2026 sparse part has weight 626383363 (95.69/col)
  261. Sat Aug 8 15:27:07 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  262. Sat Aug 8 15:27:07 2026 selected card has CUDA arch 12.0
  263. Sat Aug 8 15:27:07 2026 computed block_nnz 150502659 (L2 cache 100663296 bytes, average column weight 95.7)
  264. Sat Aug 8 15:27:07 2026 nonzeros per matrix block: 150502659
  265. Sat Aug 8 15:28:16 2026 commencing Lanczos iteration
  266. Sat Aug 8 15:28:16 2026 memory use: 6626.8 MB
  267. Sat Aug 8 15:28:21 2026 linear algebra at 0.5%, ETA 0h14m
  268. Sat Aug 8 15:28:27 2026 checking every 460000 dimensions, checkpointing every 28060000 dimensions
  269. Sat Aug 8 15:43:06 2026 lanczos halted after 25648 iterations (dim = 6545752)
  270. Sat Aug 8 15:43:44 2026 recovered 32 nontrivial dependencies
  271. Sat Aug 8 15:43:45 2026 BLanczosTime: 1005
  272. Sat Aug 8 15:43:45 2026 elapsed time 00:16:46
  273. Sat Aug 8 11:45:02 2026
  274. Sat Aug 8 11:45:02 2026
  275. Sat Aug 8 11:45:02 2026 Msieve v. 1.54 (SVN unknown)
  276. Sat Aug 8 11:45:02 2026 random seeds: 657ca0d8 3f23982b
  277. Sat Aug 8 11:45:02 2026 Using 8 OpenMP threads
  278. Sat Aug 8 11:45:02 2026 factoring 447231981503126525186102040882862635073379848517822366568924728413385629926821712084942957444770444873894202427179200730607791034831048516564424430098989364567422981 (165 digits)
  279. Sat Aug 8 11:45:03 2026 no P-1/P+1/ECM available, skipping
  280. Sat Aug 8 11:45:03 2026 commencing number field sieve (165-digit input)
  281. Sat Aug 8 11:45:03 2026 R0: -99717569724248747126226917246199
  282. Sat Aug 8 11:45:03 2026 R1: 61454890326287762161
  283. Sat Aug 8 11:45:03 2026 A0: 43557959391816156681520351393405267152
  284. Sat Aug 8 11:45:03 2026 A1: -90274712078328846981790454863190
  285. Sat Aug 8 11:45:03 2026 A2: -11895476959280802640587823
  286. Sat Aug 8 11:45:03 2026 A3: 8040709898065991887
  287. Sat Aug 8 11:45:03 2026 A4: 1402106407854
  288. Sat Aug 8 11:45:03 2026 A5: 272160
  289. Sat Aug 8 11:45:03 2026 skew 3047816.30, size 6.176e-16, alpha -6.597, combined = 8.877e-13 rroots = 3
  290. Sat Aug 8 11:45:03 2026
  291. Sat Aug 8 11:45:03 2026 commencing square root phase
  292. Sat Aug 8 11:45:03 2026 reading relations for dependency 1
  293. Sat Aug 8 11:45:03 2026 read 3272591 cycles
  294. Sat Aug 8 11:45:09 2026 cycles contain 11364086 unique relations
  295. Sat Aug 8 11:47:56 2026 read 11364086 relations
  296. Sat Aug 8 11:48:29 2026 multiplying 11364086 relations
  297. Sat Aug 8 11:49:35 2026 multiply complete, coefficients have about 615.23 million bits
  298. Sat Aug 8 11:49:36 2026 initial square root is modulo 330853
  299. Sat Aug 8 11:51:50 2026 GCD is 1, no factor found
  300. Sat Aug 8 11:51:50 2026 reading relations for dependency 2
  301. Sat Aug 8 11:51:51 2026 read 3275226 cycles
  302. Sat Aug 8 11:51:55 2026 cycles contain 11371698 unique relations
  303. Sat Aug 8 11:52:31 2026 read 11371698 relations
  304. Sat Aug 8 11:53:02 2026 multiplying 11371698 relations
  305. Sat Aug 8 11:54:04 2026 multiply complete, coefficients have about 615.65 million bits
  306. Sat Aug 8 11:54:05 2026 initial square root is modulo 333791
  307. Sat Aug 8 11:56:38 2026 GCD is 1, no factor found
  308. Sat Aug 8 11:56:38 2026 reading relations for dependency 3
  309. Sat Aug 8 11:56:39 2026 read 3274060 cycles
  310. Sat Aug 8 11:56:42 2026 cycles contain 11370820 unique relations
  311. Sat Aug 8 11:57:01 2026 read 11370820 relations
  312. Sat Aug 8 11:57:36 2026 multiplying 11370820 relations
  313. Sat Aug 8 11:58:46 2026 multiply complete, coefficients have about 615.60 million bits
  314. Sat Aug 8 11:58:47 2026 initial square root is modulo 333419
  315. Sat Aug 8 12:01:07 2026 GCD is N, no factor found
  316. Sat Aug 8 12:01:07 2026 reading relations for dependency 4
  317. Sat Aug 8 12:01:08 2026 read 3272314 cycles
  318. Sat Aug 8 12:01:12 2026 cycles contain 11364420 unique relations
  319. Sat Aug 8 12:01:23 2026 read 11364420 relations
  320. Sat Aug 8 12:01:53 2026 multiplying 11364420 relations
  321. Sat Aug 8 12:02:50 2026 multiply complete, coefficients have about 615.25 million bits
  322. Sat Aug 8 12:02:52 2026 initial square root is modulo 330997
  323. Sat Aug 8 12:05:08 2026 sqrtTime: 1205
  324. Sat Aug 8 12:05:08 2026 p60 factor: 609091909782408618736107673033710643812215437007032591506179
  325. Sat Aug 8 12:05:08 2026 p105 factor: 734260255833795639249512586712545817473051130152560234225734189962164147172801936188467303183465485758039
  326. Sat Aug 8 12:05:08 2026 elapsed time 00:20:06
  327.  
Tags: math
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