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Jun 27th, 2026
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  1. Wed Jun 24 23:54:11 2026
  2. Wed Jun 24 23:54:11 2026
  3. Wed Jun 24 23:54:11 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jun 24 23:54:11 2026 random seeds: a074be92 3945c841
  5. Wed Jun 24 23:54:11 2026 MPI process 0 of 1
  6. Wed Jun 24 23:54:11 2026 Using 32 OpenMP threads
  7. Wed Jun 24 23:54:11 2026 factoring 198464605843103665916863316803242826246935735085825654095924788818044744828900057621415561322515709814603944145079532313208862503517598337448789146980096460294392341298121576317095509163 (186 digits)
  8. Wed Jun 24 23:54:12 2026 searching for 15-digit factors
  9. Wed Jun 24 23:54:12 2026 commencing number field sieve (186-digit input)
  10. Wed Jun 24 23:54:12 2026 R0: -450485396523978139383547550355090170
  11. Wed Jun 24 23:54:12 2026 R1: 10314899529105919678310047
  12. Wed Jun 24 23:54:12 2026 A0: 2472055891204723530345793808584942563700488
  13. Wed Jun 24 23:54:12 2026 A1: -1128519779812451376016273388455543017
  14. Wed Jun 24 23:54:12 2026 A2: -506134731046410231291211131100
  15. Wed Jun 24 23:54:12 2026 A3: 8337426131628108617479
  16. Wed Jun 24 23:54:12 2026 A4: 589458778726290
  17. Wed Jun 24 23:54:12 2026 A5: 21381360
  18. Wed Jun 24 23:54:12 2026 skew 15797637.44, size 3.534e-18, alpha -7.038, combined = 3.798e-14 rroots = 3
  19. Wed Jun 24 23:54:12 2026
  20. Wed Jun 24 23:54:12 2026 commencing relation filtering
  21. Wed Jun 24 23:54:12 2026 setting target matrix density to 130.0
  22. Wed Jun 24 23:54:12 2026 estimated available RAM is 257736.5 MB
  23. Wed Jun 24 23:54:12 2026 commencing duplicate removal, pass 1
  24. Wed Jun 24 23:55:23 2026 error -1 reading relation 44269672
  25. Wed Jun 24 23:56:25 2026 error -1 reading relation 91580997
  26. Wed Jun 24 23:56:33 2026 error -1 reading relation 97676470
  27. Wed Jun 24 23:56:40 2026 error -1 reading relation 102739582
  28. Wed Jun 24 23:56:43 2026 error -1 reading relation 105190768
  29. Wed Jun 24 23:57:29 2026 error -1 reading relation 137843297
  30. Wed Jun 24 23:57:51 2026 error -1 reading relation 154021756
  31. Wed Jun 24 23:57:54 2026 error -1 reading relation 156566175
  32. Wed Jun 24 23:58:03 2026 error -1 reading relation 163037976
  33. Wed Jun 24 23:58:26 2026 error -1 reading relation 180481331
  34. Wed Jun 24 23:58:29 2026 error -1 reading relation 183294747
  35. Wed Jun 24 23:58:30 2026 error -1 reading relation 184062874
  36. Wed Jun 24 23:58:34 2026 error -1 reading relation 186588997
  37. Wed Jun 24 23:58:42 2026 error -1 reading relation 192587842
  38. Wed Jun 24 23:58:55 2026 error -1 reading relation 202915302
  39. Wed Jun 24 23:58:55 2026 error -1 reading relation 202932734
  40. Wed Jun 24 23:58:56 2026 error -1 reading relation 203482473
  41. Wed Jun 24 23:58:56 2026 error -1 reading relation 203513839
  42. Wed Jun 24 23:58:56 2026 error -1 reading relation 203543044
  43. Wed Jun 24 23:58:58 2026 error -1 reading relation 204831626
  44. Wed Jun 24 23:58:59 2026 error -1 reading relation 205885600
  45. Wed Jun 24 23:59:04 2026 error -1 reading relation 209419808
  46. Wed Jun 24 23:59:20 2026 error -1 reading relation 221499880
  47. Wed Jun 24 23:59:35 2026 error -15 reading relation 232569090
  48. Wed Jun 24 23:59:37 2026 error -1 reading relation 234353861
  49. Wed Jun 24 23:59:51 2026 error -1 reading relation 245377985
  50. Thu Jun 25 00:00:03 2026 error -1 reading relation 254440325
  51. Thu Jun 25 00:00:04 2026 error -1 reading relation 254683883
  52. Thu Jun 25 00:00:13 2026 error -1 reading relation 261967086
  53. Thu Jun 25 00:00:20 2026 error -1 reading relation 266663902
  54. Thu Jun 25 00:00:27 2026 error -1 reading relation 272375806
  55. Thu Jun 25 00:01:14 2026 error -1 reading relation 307888608
  56. Thu Jun 25 00:01:22 2026 error -1 reading relation 314163937
  57. Thu Jun 25 00:01:23 2026 error -1 reading relation 315018856
  58. Thu Jun 25 00:01:44 2026 error -1 reading relation 330549289
  59. Thu Jun 25 00:01:56 2026 error -1 reading relation 339740722
  60. Thu Jun 25 00:02:09 2026 error -1 reading relation 349671269
  61. Thu Jun 25 00:02:27 2026 error -1 reading relation 363149966
  62. Thu Jun 25 00:02:37 2026 error -1 reading relation 370546182
  63. Thu Jun 25 00:02:42 2026 error -1 reading relation 374505603
  64. Thu Jun 25 00:02:43 2026 error -1 reading relation 375295905
  65. Thu Jun 25 00:02:52 2026 error -1 reading relation 381852805
  66. Thu Jun 25 00:02:52 2026 error -1 reading relation 382357567
  67. Thu Jun 25 00:03:24 2026 error -1 reading relation 406464805
  68. Thu Jun 25 00:03:27 2026 error -1 reading relation 408972230
  69. Thu Jun 25 00:03:29 2026 error -1 reading relation 410169416
  70. Thu Jun 25 00:03:47 2026 error -9 reading relation 424057395
  71. Thu Jun 25 00:03:57 2026 error -1 reading relation 431035310
  72. Thu Jun 25 00:04:04 2026 error -1 reading relation 436752443
  73. Thu Jun 25 00:04:05 2026 error -1 reading relation 437671785
  74. Thu Jun 25 00:04:06 2026 error -1 reading relation 437867968
  75. Thu Jun 25 00:04:08 2026 error -1 reading relation 439644218
  76. Thu Jun 25 00:04:15 2026 error -1 reading relation 444812535
  77. Thu Jun 25 00:04:16 2026 error -1 reading relation 445450791
  78. Thu Jun 25 00:04:16 2026 error -1 reading relation 445723480
  79. Thu Jun 25 00:04:26 2026 error -1 reading relation 453516630
  80. Thu Jun 25 00:04:26 2026 error -1 reading relation 453571871
  81. Thu Jun 25 00:04:35 2026 skipped 1 relations with composite factors
  82. Thu Jun 25 00:04:35 2026 skipped 473 malformed relations
  83. Thu Jun 25 00:04:35 2026 found 106553975 hash collisions in 459787349 relations
  84. Thu Jun 25 00:04:57 2026 added 122282 free relations
  85. Thu Jun 25 00:04:57 2026 commencing duplicate removal, pass 2
  86. Thu Jun 25 00:13:39 2026 found 116984636 duplicates and 342924995 unique relations
  87. Thu Jun 25 00:13:39 2026 memory use: 2899.0 MB
  88. Thu Jun 25 00:13:40 2026 reading ideals above 720000
  89. Thu Jun 25 00:13:40 2026 commencing singleton removal, initial pass
  90. Thu Jun 25 00:31:06 2026 memory use: 11024.0 MB
  91. Thu Jun 25 00:31:07 2026 reading all ideals from disk
  92. Thu Jun 25 00:31:13 2026 memory use: 17021.6 MB
  93. Thu Jun 25 00:31:59 2026 keeping 333020190 ideals with weight <= 200, target excess is 1756131
  94. Thu Jun 25 00:32:56 2026 commencing in-memory singleton removal
  95. Thu Jun 25 00:33:00 2026 begin with 342924995 relations and 333020190 unique ideals
  96. Thu Jun 25 00:33:24 2026 reduce to 205924241 relations and 180660210 ideals in 17 passes
  97. Thu Jun 25 00:33:24 2026 max relations containing the same ideal: 151
  98. Thu Jun 25 00:34:45 2026 removing 14898914 relations and 12898914 ideals in 2000000 cliques
  99. Thu Jun 25 00:34:53 2026 commencing in-memory singleton removal
  100. Thu Jun 25 00:34:56 2026 begin with 191025327 relations and 180660210 unique ideals
  101. Thu Jun 25 00:35:05 2026 reduce to 190125181 relations and 166848857 ideals in 9 passes
  102. Thu Jun 25 00:35:05 2026 max relations containing the same ideal: 147
  103. Thu Jun 25 00:36:20 2026 removing 11207318 relations and 9207318 ideals in 2000000 cliques
  104. Thu Jun 25 00:36:27 2026 commencing in-memory singleton removal
  105. Thu Jun 25 00:36:30 2026 begin with 178917863 relations and 166848857 unique ideals
  106. Thu Jun 25 00:36:37 2026 reduce to 178348028 relations and 157065120 ideals in 8 passes
  107. Thu Jun 25 00:36:37 2026 max relations containing the same ideal: 141
  108. Thu Jun 25 00:37:48 2026 removing 10073128 relations and 8073128 ideals in 2000000 cliques
  109. Thu Jun 25 00:37:54 2026 commencing in-memory singleton removal
  110. Thu Jun 25 00:37:57 2026 begin with 168274900 relations and 157065120 unique ideals
  111. Thu Jun 25 00:38:03 2026 reduce to 167781030 relations and 148492691 ideals in 7 passes
  112. Thu Jun 25 00:38:03 2026 max relations containing the same ideal: 134
  113. Thu Jun 25 00:39:08 2026 removing 9481813 relations and 7481813 ideals in 2000000 cliques
  114. Thu Jun 25 00:39:14 2026 commencing in-memory singleton removal
  115. Thu Jun 25 00:39:16 2026 begin with 158299217 relations and 148492691 unique ideals
  116. Thu Jun 25 00:39:22 2026 reduce to 157835163 relations and 140541534 ideals in 8 passes
  117. Thu Jun 25 00:39:22 2026 max relations containing the same ideal: 126
  118. Thu Jun 25 00:40:22 2026 removing 9119863 relations and 7119863 ideals in 2000000 cliques
  119. Thu Jun 25 00:40:27 2026 commencing in-memory singleton removal
  120. Thu Jun 25 00:40:29 2026 begin with 148715300 relations and 140541534 unique ideals
  121. Thu Jun 25 00:40:35 2026 reduce to 148256412 relations and 132957393 ideals in 7 passes
  122. Thu Jun 25 00:40:35 2026 max relations containing the same ideal: 122
  123. Thu Jun 25 00:41:32 2026 removing 8883326 relations and 6883326 ideals in 2000000 cliques
  124. Thu Jun 25 00:41:37 2026 commencing in-memory singleton removal
  125. Thu Jun 25 00:41:39 2026 begin with 139373086 relations and 132957393 unique ideals
  126. Thu Jun 25 00:41:45 2026 reduce to 138912245 relations and 125607625 ideals in 8 passes
  127. Thu Jun 25 00:41:45 2026 max relations containing the same ideal: 120
  128. Thu Jun 25 00:42:38 2026 removing 8732771 relations and 6732771 ideals in 2000000 cliques
  129. Thu Jun 25 00:42:43 2026 commencing in-memory singleton removal
  130. Thu Jun 25 00:42:45 2026 begin with 130179474 relations and 125607625 unique ideals
  131. Thu Jun 25 00:42:51 2026 reduce to 129705559 relations and 118394902 ideals in 9 passes
  132. Thu Jun 25 00:42:51 2026 max relations containing the same ideal: 114
  133. Thu Jun 25 00:43:41 2026 removing 8647257 relations and 6647257 ideals in 2000000 cliques
  134. Thu Jun 25 00:43:46 2026 commencing in-memory singleton removal
  135. Thu Jun 25 00:43:48 2026 begin with 121058302 relations and 118394902 unique ideals
  136. Thu Jun 25 00:43:52 2026 reduce to 120560410 relations and 111243126 ideals in 8 passes
  137. Thu Jun 25 00:43:52 2026 max relations containing the same ideal: 108
  138. Thu Jun 25 00:44:38 2026 removing 8615044 relations and 6615045 ideals in 2000000 cliques
  139. Thu Jun 25 00:44:43 2026 commencing in-memory singleton removal
  140. Thu Jun 25 00:44:44 2026 begin with 111945366 relations and 111243126 unique ideals
  141. Thu Jun 25 00:44:48 2026 reduce to 111412386 relations and 104087418 ideals in 8 passes
  142. Thu Jun 25 00:44:48 2026 max relations containing the same ideal: 104
  143. Thu Jun 25 00:45:34 2026 removing 8629026 relations and 6629026 ideals in 2000000 cliques
  144. Thu Jun 25 00:45:38 2026 commencing in-memory singleton removal
  145. Thu Jun 25 00:45:39 2026 begin with 102783360 relations and 104087418 unique ideals
  146. Thu Jun 25 00:45:43 2026 reduce to 102206988 relations and 96873138 ideals in 8 passes
  147. Thu Jun 25 00:45:43 2026 max relations containing the same ideal: 99
  148. Thu Jun 25 00:46:22 2026 removing 8693680 relations and 6693680 ideals in 2000000 cliques
  149. Thu Jun 25 00:46:26 2026 commencing in-memory singleton removal
  150. Thu Jun 25 00:46:27 2026 begin with 93513308 relations and 96873138 unique ideals
  151. Thu Jun 25 00:46:32 2026 reduce to 92868901 relations and 89524138 ideals in 9 passes
  152. Thu Jun 25 00:46:32 2026 max relations containing the same ideal: 90
  153. Thu Jun 25 00:47:07 2026 removing 6283928 relations and 4976277 ideals in 1307651 cliques
  154. Thu Jun 25 00:47:10 2026 commencing in-memory singleton removal
  155. Thu Jun 25 00:47:11 2026 begin with 86584973 relations and 89524138 unique ideals
  156. Thu Jun 25 00:47:14 2026 reduce to 86227175 relations and 84185713 ideals in 8 passes
  157. Thu Jun 25 00:47:14 2026 max relations containing the same ideal: 87
  158. Thu Jun 25 00:47:58 2026 relations with 0 large ideals: 6003
  159. Thu Jun 25 00:47:58 2026 relations with 1 large ideals: 33290
  160. Thu Jun 25 00:47:58 2026 relations with 2 large ideals: 463420
  161. Thu Jun 25 00:47:58 2026 relations with 3 large ideals: 2832009
  162. Thu Jun 25 00:47:58 2026 relations with 4 large ideals: 9436290
  163. Thu Jun 25 00:47:58 2026 relations with 5 large ideals: 18902122
  164. Thu Jun 25 00:47:58 2026 relations with 6 large ideals: 23709354
  165. Thu Jun 25 00:47:58 2026 relations with 7+ large ideals: 30844687
  166. Thu Jun 25 00:47:58 2026 commencing 2-way merge
  167. Thu Jun 25 00:48:49 2026 reduce to 53837500 relation sets and 51796039 unique ideals
  168. Thu Jun 25 00:48:49 2026 ignored 1 oversize relation sets
  169. Thu Jun 25 00:48:49 2026 commencing full merge
  170. Thu Jun 25 01:04:59 2026 memory use: 6122.9 MB
  171. Thu Jun 25 01:05:03 2026 found 22990802 cycles, need 22982239
  172. Thu Jun 25 01:05:09 2026 weight of 22982239 cycles is about 2987955038 (130.01/cycle)
  173. Thu Jun 25 01:05:09 2026 distribution of cycle lengths:
  174. Thu Jun 25 01:05:09 2026 1 relations: 1617103
  175. Thu Jun 25 01:05:09 2026 2 relations: 1581392
  176. Thu Jun 25 01:05:09 2026 3 relations: 1620287
  177. Thu Jun 25 01:05:09 2026 4 relations: 1578340
  178. Thu Jun 25 01:05:09 2026 5 relations: 1568207
  179. Thu Jun 25 01:05:09 2026 6 relations: 1500786
  180. Thu Jun 25 01:05:09 2026 7 relations: 1458541
  181. Thu Jun 25 01:05:09 2026 8 relations: 1376226
  182. Thu Jun 25 01:05:09 2026 9 relations: 1315254
  183. Thu Jun 25 01:05:09 2026 10+ relations: 9366103
  184. Thu Jun 25 01:05:09 2026 heaviest cycle: 28 relations
  185. Thu Jun 25 01:05:13 2026 commencing cycle optimization
  186. Thu Jun 25 01:05:55 2026 start with 206435702 relations
  187. Thu Jun 25 01:12:26 2026 pruned 8664925 relations
  188. Thu Jun 25 01:12:26 2026 memory use: 5625.1 MB
  189. Thu Jun 25 01:12:26 2026 distribution of cycle lengths:
  190. Thu Jun 25 01:12:26 2026 1 relations: 1617103
  191. Thu Jun 25 01:12:26 2026 2 relations: 1623900
  192. Thu Jun 25 01:12:26 2026 3 relations: 1688322
  193. Thu Jun 25 01:12:26 2026 4 relations: 1640006
  194. Thu Jun 25 01:12:26 2026 5 relations: 1638026
  195. Thu Jun 25 01:12:26 2026 6 relations: 1562375
  196. Thu Jun 25 01:12:26 2026 7 relations: 1520532
  197. Thu Jun 25 01:12:26 2026 8 relations: 1430264
  198. Thu Jun 25 01:12:26 2026 9 relations: 1363688
  199. Thu Jun 25 01:12:26 2026 10+ relations: 8898023
  200. Thu Jun 25 01:12:26 2026 heaviest cycle: 28 relations
  201. Thu Jun 25 01:12:56 2026 RelProcTime: 4724
  202. Thu Jun 25 01:12:56 2026
  203. Thu Jun 25 01:12:56 2026 commencing linear algebra
  204. Thu Jun 25 01:12:56 2026 using VBITS=256
  205. Thu Jun 25 01:12:56 2026 stopping after matrix build
  206. Thu Jun 25 01:12:56 2026 initialized process (0,0) of 1 x 1 grid
  207. Thu Jun 25 01:12:58 2026 read 22982239 cycles
  208. Thu Jun 25 01:13:37 2026 cycles contain 84816982 unique relations
  209. Thu Jun 25 01:19:50 2026 read 84816982 relations
  210. Thu Jun 25 01:20:00 2026 using 20 quadratic characters above 4294917295
  211. Thu Jun 25 01:20:10 2026 building initial matrix
  212. Thu Jun 25 01:36:37 2026 memory use: 11964.3 MB
  213. Thu Jun 25 01:36:53 2026 read 22982239 cycles
  214. Thu Jun 25 01:36:57 2026 matrix is 22982062 x 22982239 (11642.6 MB) with weight 3532720836 (153.72/col)
  215. Thu Jun 25 01:36:57 2026 sparse part has weight 2776253972 (120.80/col)
  216. Thu Jun 25 01:42:22 2026 filtering completed in 2 passes
  217. Thu Jun 25 01:42:27 2026 matrix is 22981727 x 22981904 (11642.6 MB) with weight 3532705209 (153.72/col)
  218. Thu Jun 25 01:42:27 2026 sparse part has weight 2776250322 (120.80/col)
  219. Thu Jun 25 01:44:45 2026 BLanczosTime: 1909
  220. Thu Jun 25 01:44:45 2026 elapsed time 01:50:34
  221. Thu Jun 25 11:46:48 2026
  222. Thu Jun 25 11:46:48 2026
  223. Thu Jun 25 11:46:48 2026 Msieve v. 1.54 (SVN Unversioned directory)
  224. Thu Jun 25 11:46:48 2026 random seeds: 6019914b c20ddad0
  225. Thu Jun 25 11:46:48 2026 MPI process 0 of 1
  226. Thu Jun 25 11:46:48 2026 Using 64 OpenMP threads
  227. Thu Jun 25 11:46:48 2026 factoring 198464605843103665916863316803242826246935735085825654095924788818044744828900057621415561322515709814603944145079532313208862503517598337448789146980096460294392341298121576317095509163 (186 digits)
  228. Thu Jun 25 11:46:49 2026 searching for 15-digit factors
  229. Thu Jun 25 11:46:49 2026 commencing number field sieve (186-digit input)
  230. Thu Jun 25 11:46:49 2026 R0: -450485396523978139383547550355090170
  231. Thu Jun 25 11:46:49 2026 R1: 10314899529105919678310047
  232. Thu Jun 25 11:46:49 2026 A0: 2472055891204723530345793808584942563700488
  233. Thu Jun 25 11:46:49 2026 A1: -1128519779812451376016273388455543017
  234. Thu Jun 25 11:46:49 2026 A2: -506134731046410231291211131100
  235. Thu Jun 25 11:46:49 2026 A3: 8337426131628108617479
  236. Thu Jun 25 11:46:49 2026 A4: 589458778726290
  237. Thu Jun 25 11:46:49 2026 A5: 21381360
  238. Thu Jun 25 11:46:49 2026 skew 15797637.44, size 3.534e-18, alpha -7.038, combined = 3.798e-14 rroots = 3
  239. Thu Jun 25 11:46:49 2026
  240. Thu Jun 25 11:46:49 2026 commencing linear algebra
  241. Thu Jun 25 11:46:49 2026 using VBITS=256
  242. Thu Jun 25 11:46:49 2026 skipping matrix build
  243. Thu Jun 25 11:46:49 2026 initialized process (0,0) of 1 x 1 grid
  244. Thu Jun 25 11:47:01 2026 matrix starts at (0, 0)
  245. Thu Jun 25 11:47:04 2026 matrix is 22981727 x 22981904 (11642.6 MB) with weight 3532705209 (153.72/col)
  246. Thu Jun 25 11:47:04 2026 sparse part has weight 2776250322 (120.80/col)
  247. Thu Jun 25 11:47:04 2026 saving the first 240 matrix rows for later
  248. Thu Jun 25 11:47:09 2026 matrix includes 256 packed rows
  249. Thu Jun 25 11:47:16 2026 matrix is 22981487 x 22981904 (10626.4 MB) with weight 2563332090 (111.54/col)
  250. Thu Jun 25 11:47:16 2026 sparse part has weight 2417924531 (105.21/col)
  251. Thu Jun 25 11:47:16 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  252. Thu Jun 25 11:48:13 2026 commencing Lanczos iteration (64 threads)
  253. Thu Jun 25 11:48:13 2026 memory use: 15051.6 MB
  254. Thu Jun 25 11:51:45 2026 linear algebra at 0.1%, ETA 43h17m
  255. Thu Jun 25 11:56:52 2026 checking every 10000 dimensions, checkpointing every 540000 dimensions
  256. Sat Jun 27 07:13:32 2026 lanczos halted after 90042 iterations (dim = 22981485)
  257. Sat Jun 27 07:15:23 2026 recovered 29 nontrivial dependencies
  258. Sat Jun 27 07:15:26 2026 BLanczosTime: 156517
  259. Sat Jun 27 07:15:26 2026
  260. Sat Jun 27 07:15:26 2026 commencing square root phase
  261. Sat Jun 27 07:15:26 2026 handling dependencies 1 to 64
  262. Sat Jun 27 07:15:26 2026 reading relations for dependency 1
  263. Sat Jun 27 07:15:28 2026 read 11492306 cycles
  264. Sat Jun 27 07:16:41 2026 cycles contain 42411850 unique relations
  265. Sat Jun 27 07:27:26 2026 read 42411850 relations
  266. Sat Jun 27 07:37:07 2026 multiplying 42411850 relations
  267. Sat Jun 27 07:48:17 2026 multiply complete, coefficients have about 2685.01 million bits
  268. Sat Jun 27 07:48:30 2026 initial square root is modulo 1052221
  269. Sat Jun 27 08:30:21 2026 sqrtTime: 4495
  270. Sat Jun 27 08:30:21 2026 p77 factor: 24721382036569248633422964130643251279044526779348091313163597212058053224633
  271. Sat Jun 27 08:30:21 2026 p109 factor: 8028054643123258223580834761065066284770308437586240555633484461326302197030721672375571010925507318774945411
  272. Sat Jun 27 08:30:21 2026 elapsed time 44:43:33
  273.  
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