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Sep 22nd, 2026
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  1. Fri Sep 11 19:41:32 2026
  2. Fri Sep 11 19:41:32 2026
  3. Fri Sep 11 19:41:32 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Sep 11 19:41:32 2026 random seeds: 2505785c 02887797
  5. Fri Sep 11 19:41:32 2026 MPI process 0 of 1
  6. Fri Sep 11 19:41:32 2026 Using 32 OpenMP threads
  7. Fri Sep 11 19:41:32 2026 factoring 3921393400489950139628128597753417650396531304793743245836463163716299745329470493284187703042261292319417325921605156822704826984801973214321985471421764116004595724873 (169 digits)
  8. Fri Sep 11 19:41:33 2026 searching for 15-digit factors
  9. Fri Sep 11 19:41:33 2026 commencing number field sieve (169-digit input)
  10. Fri Sep 11 19:41:33 2026 R0: -163021700434011899445468708190804
  11. Fri Sep 11 19:41:33 2026 R1: 39990287965700961924155657
  12. Fri Sep 11 19:41:33 2026 A0: 75053682030612719680213823357934225391785
  13. Fri Sep 11 19:41:33 2026 A1: 24758644253353813761901236825915842
  14. Fri Sep 11 19:41:33 2026 A2: -6582002197513589083546325807
  15. Fri Sep 11 19:41:33 2026 A3: -535033825609639609164
  16. Fri Sep 11 19:41:33 2026 A4: 28685470390860
  17. Fri Sep 11 19:41:33 2026 A5: 55440
  18. Fri Sep 11 19:41:33 2026 skew 8386756.29, size 2.133e-16, alpha -8.070, combined = 4.511e-13 rroots = 5
  19. Fri Sep 11 19:41:33 2026
  20. Fri Sep 11 19:41:33 2026 commencing relation filtering
  21. Fri Sep 11 19:41:33 2026 setting target matrix density to 120.0
  22. Fri Sep 11 19:41:33 2026 estimated available RAM is 257736.5 MB
  23. Fri Sep 11 19:41:33 2026 commencing duplicate removal, pass 1
  24. Fri Sep 11 19:44:07 2026 error -1 reading relation 66703766
  25. Fri Sep 11 19:44:23 2026 error -1 reading relation 73932589
  26. Fri Sep 11 19:44:51 2026 error -1 reading relation 86162229
  27. Fri Sep 11 19:45:45 2026 error -1 reading relation 108715571
  28. Fri Sep 11 19:46:08 2026 error -1 reading relation 118788484
  29. Fri Sep 11 19:46:16 2026 error -1 reading relation 122118418
  30. Fri Sep 11 19:48:05 2026 error -1 reading relation 166438798
  31. Fri Sep 11 19:49:31 2026 error -1 reading relation 203125001
  32. Fri Sep 11 19:49:31 2026 error -1 reading relation 203125795
  33. Fri Sep 11 19:49:38 2026 error -1 reading relation 206375767
  34. Fri Sep 11 19:49:39 2026 error -1 reading relation 206474996
  35. Fri Sep 11 19:50:02 2026 error -1 reading relation 216618404
  36. Fri Sep 11 19:50:04 2026 error -1 reading relation 217306373
  37. Fri Sep 11 19:50:13 2026 error -1 reading relation 221399691
  38. Fri Sep 11 19:50:14 2026 error -1 reading relation 221522351
  39. Fri Sep 11 19:50:24 2026 error -1 reading relation 226458763
  40. Fri Sep 11 19:50:29 2026 error -1 reading relation 228356149
  41. Fri Sep 11 19:52:24 2026 error -1 reading relation 278695556
  42. Fri Sep 11 19:52:24 2026 error -1 reading relation 278773695
  43. Fri Sep 11 19:52:26 2026 error -1 reading relation 279861388
  44. Fri Sep 11 19:52:26 2026 error -1 reading relation 279865789
  45. Fri Sep 11 19:52:38 2026 error -1 reading relation 285123060
  46. Fri Sep 11 19:52:54 2026 error -1 reading relation 292029955
  47. Fri Sep 11 19:52:54 2026 error -1 reading relation 292063114
  48. Fri Sep 11 19:52:59 2026 error -1 reading relation 293891635
  49. Fri Sep 11 19:53:12 2026 error -1 reading relation 299382100
  50. Fri Sep 11 19:53:15 2026 error -1 reading relation 300369088
  51. Fri Sep 11 19:53:18 2026 error -1 reading relation 301660080
  52. Fri Sep 11 19:53:18 2026 error -1 reading relation 301696685
  53. Fri Sep 11 19:53:28 2026 error -1 reading relation 305873449
  54. Fri Sep 11 19:53:49 2026 skipped 226 malformed relations
  55. Fri Sep 11 19:53:49 2026 found 63331191 hash collisions in 315177064 relations
  56. Fri Sep 11 19:54:29 2026 added 122041 free relations
  57. Fri Sep 11 19:54:29 2026 commencing duplicate removal, pass 2
  58. Fri Sep 11 20:04:40 2026 found 67579369 duplicates and 247719736 unique relations
  59. Fri Sep 11 20:04:40 2026 memory use: 1705.5 MB
  60. Fri Sep 11 20:04:41 2026 reading ideals above 720000
  61. Fri Sep 11 20:04:41 2026 commencing singleton removal, initial pass
  62. Fri Sep 11 20:43:05 2026 memory use: 6024.0 MB
  63. Fri Sep 11 20:43:06 2026 reading all ideals from disk
  64. Fri Sep 11 20:43:14 2026 memory use: 11499.8 MB
  65. Fri Sep 11 20:44:23 2026 keeping 238671780 ideals with weight <= 200, target excess is 1192528
  66. Fri Sep 11 20:45:50 2026 commencing in-memory singleton removal
  67. Fri Sep 11 20:45:58 2026 begin with 247719736 relations and 238671780 unique ideals
  68. Fri Sep 11 20:46:27 2026 reduce to 139746045 relations and 117755925 ideals in 16 passes
  69. Fri Sep 11 20:46:27 2026 max relations containing the same ideal: 144
  70. Fri Sep 11 20:48:26 2026 removing 12939800 relations and 10939800 ideals in 2000000 cliques
  71. Fri Sep 11 20:48:37 2026 commencing in-memory singleton removal
  72. Fri Sep 11 20:48:40 2026 begin with 126806245 relations and 117755925 unique ideals
  73. Fri Sep 11 20:48:51 2026 reduce to 125848932 relations and 105840829 ideals in 9 passes
  74. Fri Sep 11 20:48:51 2026 max relations containing the same ideal: 139
  75. Fri Sep 11 20:50:46 2026 removing 9790433 relations and 7790433 ideals in 2000000 cliques
  76. Fri Sep 11 20:50:54 2026 commencing in-memory singleton removal
  77. Fri Sep 11 20:50:57 2026 begin with 116058499 relations and 105840829 unique ideals
  78. Fri Sep 11 20:51:07 2026 reduce to 115424290 relations and 97405705 ideals in 9 passes
  79. Fri Sep 11 20:51:07 2026 max relations containing the same ideal: 129
  80. Fri Sep 11 20:52:45 2026 removing 8840677 relations and 6840677 ideals in 2000000 cliques
  81. Fri Sep 11 20:52:52 2026 commencing in-memory singleton removal
  82. Fri Sep 11 20:52:55 2026 begin with 106583613 relations and 97405705 unique ideals
  83. Fri Sep 11 20:53:04 2026 reduce to 106017236 relations and 89989143 ideals in 8 passes
  84. Fri Sep 11 20:53:04 2026 max relations containing the same ideal: 124
  85. Fri Sep 11 20:54:41 2026 removing 8360639 relations and 6360639 ideals in 2000000 cliques
  86. Fri Sep 11 20:54:48 2026 commencing in-memory singleton removal
  87. Fri Sep 11 20:54:50 2026 begin with 97656597 relations and 89989143 unique ideals
  88. Fri Sep 11 20:54:58 2026 reduce to 97109830 relations and 83072098 ideals in 9 passes
  89. Fri Sep 11 20:54:58 2026 max relations containing the same ideal: 115
  90. Fri Sep 11 20:56:21 2026 removing 8078868 relations and 6078868 ideals in 2000000 cliques
  91. Fri Sep 11 20:56:27 2026 commencing in-memory singleton removal
  92. Fri Sep 11 20:56:29 2026 begin with 89030962 relations and 83072098 unique ideals
  93. Fri Sep 11 20:56:36 2026 reduce to 88477850 relations and 76429854 ideals in 8 passes
  94. Fri Sep 11 20:56:36 2026 max relations containing the same ideal: 111
  95. Fri Sep 11 20:57:56 2026 removing 7911900 relations and 5911900 ideals in 2000000 cliques
  96. Fri Sep 11 20:58:03 2026 commencing in-memory singleton removal
  97. Fri Sep 11 20:58:05 2026 begin with 80565950 relations and 76429854 unique ideals
  98. Fri Sep 11 20:58:11 2026 reduce to 79988178 relations and 69928640 ideals in 8 passes
  99. Fri Sep 11 20:58:11 2026 max relations containing the same ideal: 105
  100. Fri Sep 11 20:59:21 2026 removing 7821262 relations and 5821262 ideals in 2000000 cliques
  101. Fri Sep 11 20:59:27 2026 commencing in-memory singleton removal
  102. Fri Sep 11 20:59:28 2026 begin with 72166916 relations and 69928640 unique ideals
  103. Fri Sep 11 20:59:34 2026 reduce to 71543925 relations and 63470441 ideals in 8 passes
  104. Fri Sep 11 20:59:34 2026 max relations containing the same ideal: 92
  105. Fri Sep 11 21:00:38 2026 removing 7793549 relations and 5793549 ideals in 2000000 cliques
  106. Fri Sep 11 21:00:43 2026 commencing in-memory singleton removal
  107. Fri Sep 11 21:00:45 2026 begin with 63750376 relations and 63470441 unique ideals
  108. Fri Sep 11 21:00:49 2026 reduce to 63055700 relations and 56965437 ideals in 8 passes
  109. Fri Sep 11 21:00:49 2026 max relations containing the same ideal: 86
  110. Fri Sep 11 21:01:47 2026 removing 7828349 relations and 5828349 ideals in 2000000 cliques
  111. Fri Sep 11 21:01:52 2026 commencing in-memory singleton removal
  112. Fri Sep 11 21:01:53 2026 begin with 55227351 relations and 56965437 unique ideals
  113. Fri Sep 11 21:01:57 2026 reduce to 54422464 relations and 50309892 ideals in 8 passes
  114. Fri Sep 11 21:01:57 2026 max relations containing the same ideal: 79
  115. Fri Sep 11 21:02:44 2026 removing 7928208 relations and 5928208 ideals in 2000000 cliques
  116. Fri Sep 11 21:02:49 2026 commencing in-memory singleton removal
  117. Fri Sep 11 21:02:50 2026 begin with 46494256 relations and 50309892 unique ideals
  118. Fri Sep 11 21:02:54 2026 reduce to 45512248 relations and 43368220 ideals in 10 passes
  119. Fri Sep 11 21:02:54 2026 max relations containing the same ideal: 73
  120. Fri Sep 11 21:03:35 2026 removing 3872351 relations and 3111656 ideals in 760695 cliques
  121. Fri Sep 11 21:03:38 2026 commencing in-memory singleton removal
  122. Fri Sep 11 21:03:39 2026 begin with 41639897 relations and 43368220 unique ideals
  123. Fri Sep 11 21:03:42 2026 reduce to 41384642 relations and 39997500 ideals in 8 passes
  124. Fri Sep 11 21:03:42 2026 max relations containing the same ideal: 64
  125. Fri Sep 11 21:04:27 2026 relations with 0 large ideals: 4129
  126. Fri Sep 11 21:04:27 2026 relations with 1 large ideals: 39404
  127. Fri Sep 11 21:04:27 2026 relations with 2 large ideals: 489174
  128. Fri Sep 11 21:04:27 2026 relations with 3 large ideals: 2540325
  129. Fri Sep 11 21:04:27 2026 relations with 4 large ideals: 6973941
  130. Fri Sep 11 21:04:27 2026 relations with 5 large ideals: 11204828
  131. Fri Sep 11 21:04:27 2026 relations with 6 large ideals: 10942571
  132. Fri Sep 11 21:04:27 2026 relations with 7+ large ideals: 9190270
  133. Fri Sep 11 21:04:27 2026 commencing 2-way merge
  134. Fri Sep 11 21:05:18 2026 reduce to 24920808 relation sets and 23533666 unique ideals
  135. Fri Sep 11 21:05:18 2026 commencing full merge
  136. Fri Sep 11 21:22:17 2026 memory use: 2766.8 MB
  137. Fri Sep 11 21:22:21 2026 found 10827992 cycles, need 10753866
  138. Fri Sep 11 21:22:27 2026 weight of 10753866 cycles is about 1291153328 (120.06/cycle)
  139. Fri Sep 11 21:22:27 2026 distribution of cycle lengths:
  140. Fri Sep 11 21:22:27 2026 1 relations: 766767
  141. Fri Sep 11 21:22:27 2026 2 relations: 737239
  142. Fri Sep 11 21:22:27 2026 3 relations: 752010
  143. Fri Sep 11 21:22:27 2026 4 relations: 729948
  144. Fri Sep 11 21:22:27 2026 5 relations: 735560
  145. Fri Sep 11 21:22:27 2026 6 relations: 708028
  146. Fri Sep 11 21:22:27 2026 7 relations: 694955
  147. Fri Sep 11 21:22:27 2026 8 relations: 659793
  148. Fri Sep 11 21:22:27 2026 9 relations: 633228
  149. Fri Sep 11 21:22:27 2026 10+ relations: 4336338
  150. Fri Sep 11 21:22:27 2026 heaviest cycle: 28 relations
  151. Fri Sep 11 21:22:35 2026 commencing cycle optimization
  152. Fri Sep 11 21:23:23 2026 start with 94913718 relations
  153. Fri Sep 11 21:30:03 2026 pruned 3733028 relations
  154. Fri Sep 11 21:30:03 2026 memory use: 2644.5 MB
  155. Fri Sep 11 21:30:03 2026 distribution of cycle lengths:
  156. Fri Sep 11 21:30:03 2026 1 relations: 766767
  157. Fri Sep 11 21:30:03 2026 2 relations: 755580
  158. Fri Sep 11 21:30:03 2026 3 relations: 781199
  159. Fri Sep 11 21:30:03 2026 4 relations: 756453
  160. Fri Sep 11 21:30:03 2026 5 relations: 765235
  161. Fri Sep 11 21:30:03 2026 6 relations: 736611
  162. Fri Sep 11 21:30:03 2026 7 relations: 724652
  163. Fri Sep 11 21:30:03 2026 8 relations: 686161
  164. Fri Sep 11 21:30:03 2026 9 relations: 657156
  165. Fri Sep 11 21:30:03 2026 10+ relations: 4124052
  166. Fri Sep 11 21:30:03 2026 heaviest cycle: 28 relations
  167. Fri Sep 11 21:30:39 2026 RelProcTime: 6546
  168. Fri Sep 11 21:30:39 2026
  169. Fri Sep 11 21:30:39 2026 commencing linear algebra
  170. Fri Sep 11 21:30:39 2026 using VBITS=256
  171. Fri Sep 11 21:30:39 2026 stopping after matrix build
  172. Fri Sep 11 21:30:39 2026 initialized process (0,0) of 1 x 1 grid
  173. Fri Sep 11 21:30:42 2026 read 10753866 cycles
  174. Fri Sep 11 21:31:25 2026 cycles contain 40399277 unique relations
  175. Fri Sep 11 21:38:48 2026 read 40399277 relations
  176. Fri Sep 11 21:38:55 2026 using 20 quadratic characters above 4294917295
  177. Fri Sep 11 21:39:03 2026 building initial matrix
  178. Fri Sep 11 21:56:15 2026 memory use: 5525.0 MB
  179. Fri Sep 11 21:56:30 2026 read 10753866 cycles
  180. Fri Sep 11 21:56:34 2026 matrix is 10753689 x 10753866 (5101.4 MB) with weight 1573097986 (146.28/col)
  181. Fri Sep 11 21:56:34 2026 sparse part has weight 1208248013 (112.35/col)
  182. Fri Sep 11 22:02:23 2026 filtering completed in 2 passes
  183. Fri Sep 11 22:02:28 2026 matrix is 10752655 x 10752832 (5101.3 MB) with weight 1573042817 (146.29/col)
  184. Fri Sep 11 22:02:28 2026 sparse part has weight 1208230762 (112.36/col)
  185. Fri Sep 11 22:03:52 2026 BLanczosTime: 1993
  186. Fri Sep 11 22:03:52 2026 elapsed time 02:22:20
  187. Fri Sep 11 22:56:49 2026
  188. Fri Sep 11 22:56:49 2026
  189. Fri Sep 11 22:56:49 2026 Msieve v. 1.54 (SVN Unversioned directory)
  190. Fri Sep 11 22:56:49 2026 random seeds: 437d448b 34af380e
  191. Fri Sep 11 22:56:49 2026 MPI process 0 of 1
  192. Fri Sep 11 22:56:49 2026 Using 64 OpenMP threads
  193. Fri Sep 11 22:56:49 2026 factoring 3921393400489950139628128597753417650396531304793743245836463163716299745329470493284187703042261292319417325921605156822704826984801973214321985471421764116004595724873 (169 digits)
  194. Fri Sep 11 22:56:50 2026 searching for 15-digit factors
  195. Fri Sep 11 22:56:50 2026 commencing number field sieve (169-digit input)
  196. Fri Sep 11 22:56:50 2026 R0: -163021700434011899445468708190804
  197. Fri Sep 11 22:56:50 2026 R1: 39990287965700961924155657
  198. Fri Sep 11 22:56:50 2026 A0: 75053682030612719680213823357934225391785
  199. Fri Sep 11 22:56:50 2026 A1: 24758644253353813761901236825915842
  200. Fri Sep 11 22:56:50 2026 A2: -6582002197513589083546325807
  201. Fri Sep 11 22:56:50 2026 A3: -535033825609639609164
  202. Fri Sep 11 22:56:50 2026 A4: 28685470390860
  203. Fri Sep 11 22:56:50 2026 A5: 55440
  204. Fri Sep 11 22:56:50 2026 skew 8386756.29, size 2.133e-16, alpha -8.070, combined = 4.511e-13 rroots = 5
  205. Fri Sep 11 22:56:50 2026
  206. Fri Sep 11 22:56:50 2026 commencing relation filtering
  207. Fri Sep 11 22:56:50 2026 estimated available RAM is 257736.5 MB
  208. Fri Sep 11 22:56:50 2026 commencing duplicate removal, pass 1
  209. Fri Sep 11 22:58:18 2026 error -1 reading relation 66703766
  210. Fri Sep 11 22:58:28 2026 error -1 reading relation 73932589
  211. Fri Sep 11 22:58:44 2026 error -1 reading relation 86162229
  212. Fri Sep 11 22:59:14 2026 error -1 reading relation 108715571
  213. Fri Sep 11 22:59:27 2026 error -1 reading relation 118788484
  214. Fri Sep 11 22:59:31 2026 error -1 reading relation 122118418
  215. Fri Sep 11 23:00:16 2026
  216. Fri Sep 11 23:00:16 2026
  217. Fri Sep 11 23:00:16 2026 Msieve v. 1.54 (SVN Unversioned directory)
  218. Fri Sep 11 23:00:16 2026 random seeds: ca5f96b4 b62e40f8
  219. Fri Sep 11 23:00:16 2026 MPI process 0 of 1
  220. Fri Sep 11 23:00:16 2026 Using 64 OpenMP threads
  221. Fri Sep 11 23:00:16 2026 factoring 3921393400489950139628128597753417650396531304793743245836463163716299745329470493284187703042261292319417325921605156822704826984801973214321985471421764116004595724873 (169 digits)
  222. Fri Sep 11 23:00:16 2026 searching for 15-digit factors
  223. Fri Sep 11 23:00:16 2026 commencing number field sieve (169-digit input)
  224. Fri Sep 11 23:00:16 2026 R0: -163021700434011899445468708190804
  225. Fri Sep 11 23:00:16 2026 R1: 39990287965700961924155657
  226. Fri Sep 11 23:00:16 2026 A0: 75053682030612719680213823357934225391785
  227. Fri Sep 11 23:00:16 2026 A1: 24758644253353813761901236825915842
  228. Fri Sep 11 23:00:16 2026 A2: -6582002197513589083546325807
  229. Fri Sep 11 23:00:16 2026 A3: -535033825609639609164
  230. Fri Sep 11 23:00:16 2026 A4: 28685470390860
  231. Fri Sep 11 23:00:16 2026 A5: 55440
  232. Fri Sep 11 23:00:16 2026 skew 8386756.29, size 2.133e-16, alpha -8.070, combined = 4.511e-13 rroots = 5
  233. Fri Sep 11 23:00:16 2026
  234. Fri Sep 11 23:00:16 2026 commencing linear algebra
  235. Fri Sep 11 23:00:16 2026 using VBITS=256
  236. Fri Sep 11 23:00:16 2026 skipping matrix build
  237. Fri Sep 11 23:00:16 2026 initialized process (0,0) of 1 x 1 grid
  238. Fri Sep 11 23:00:21 2026 matrix starts at (0, 0)
  239. Fri Sep 11 23:00:23 2026 matrix is 10752655 x 10752832 (5101.3 MB) with weight 1573042817 (146.29/col)
  240. Fri Sep 11 23:00:23 2026 sparse part has weight 1208230762 (112.36/col)
  241. Fri Sep 11 23:00:23 2026 saving the first 240 matrix rows for later
  242. Fri Sep 11 23:00:25 2026 matrix includes 256 packed rows
  243. Fri Sep 11 23:00:28 2026 matrix is 10752415 x 10752832 (4603.6 MB) with weight 1104939080 (102.76/col)
  244. Fri Sep 11 23:00:28 2026 sparse part has weight 1034753670 (96.23/col)
  245. Fri Sep 11 23:00:28 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  246. Fri Sep 11 23:00:51 2026 commencing Lanczos iteration (64 threads)
  247. Fri Sep 11 23:00:51 2026 memory use: 6650.5 MB
  248. Fri Sep 11 23:02:24 2026 linear algebra at 0.3%, ETA 8h50m
  249. Fri Sep 11 23:04:34 2026 checking every 20000 dimensions, checkpointing every 1260000 dimensions
  250. Sat Sep 12 07:21:50 2026 lanczos halted after 42129 iterations (dim = 10752414)
  251. Sat Sep 12 07:22:35 2026 recovered 28 nontrivial dependencies
  252. Sat Sep 12 07:22:36 2026 BLanczosTime: 30140
  253. Sat Sep 12 07:22:36 2026
  254. Sat Sep 12 07:22:36 2026 commencing square root phase
  255. Sat Sep 12 07:22:36 2026 handling dependencies 1 to 64
  256. Sat Sep 12 07:22:36 2026 reading relations for dependency 1
  257. Sat Sep 12 07:22:36 2026 read 5379474 cycles
  258. Sat Sep 12 07:22:46 2026 cycles contain 20204660 unique relations
  259. Sat Sep 12 07:28:30 2026 read 20204660 relations
  260. Sat Sep 12 07:31:36 2026 multiplying 20204660 relations
  261. Sat Sep 12 07:35:56 2026 multiply complete, coefficients have about 1149.34 million bits
  262. Sat Sep 12 07:36:01 2026 initial square root is modulo 143111
  263. Sat Sep 12 07:51:53 2026 sqrtTime: 1757
  264. Sat Sep 12 07:51:53 2026 p58 factor: 1804213838066786438835251623872652785296200892450044347887
  265. Sat Sep 12 07:51:53 2026 p112 factor: 2173463764523455691873563318660108521968903298654683141889976752550804930871710551175728367435190408995679601479
  266. Sat Sep 12 07:51:53 2026 elapsed time 08:51:37
  267.  
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