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Mar 15th, 2025
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  1. Sat Mar 15 13:03:57 2025
  2. Sat Mar 15 13:03:57 2025
  3. Sat Mar 15 13:03:57 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Mar 15 13:03:57 2025 random seeds: 47b90b69 12c7f94b
  5. Sat Mar 15 13:03:57 2025 MPI process 0 of 1
  6. Sat Mar 15 13:03:57 2025 Using 32 OpenMP threads
  7. Sat Mar 15 13:03:57 2025 factoring 26697861554572863497259226382941521144203493465440188773622718764285717141516645615504763397880875585431009497851331594731211574170240218410506640152666998707343187 (164 digits)
  8. Sat Mar 15 13:03:58 2025 searching for 15-digit factors
  9. Sat Mar 15 13:03:58 2025 commencing number field sieve (164-digit input)
  10. Sat Mar 15 13:03:58 2025 R0: -59045486667971835172595689957338
  11. Sat Mar 15 13:03:58 2025 R1: 89728771704438119
  12. Sat Mar 15 13:03:58 2025 A0: -121529588201162667673972154704155261268285
  13. Sat Mar 15 13:03:58 2025 A1: 27234688123456230509848253433188933
  14. Sat Mar 15 13:03:58 2025 A2: -768148376220467226671633833
  15. Sat Mar 15 13:03:58 2025 A3: -91057847056166837213
  16. Sat Mar 15 13:03:58 2025 A4: 234137264798
  17. Sat Mar 15 13:03:58 2025 A5: 37200
  18. Sat Mar 15 13:03:58 2025 skew 26659179.23, size 6.156e-16, alpha -7.175, combined = 8.381e-13 rroots = 5
  19. Sat Mar 15 13:03:58 2025
  20. Sat Mar 15 13:03:58 2025 commencing relation filtering
  21. Sat Mar 15 13:03:58 2025 setting target matrix density to 140.0
  22. Sat Mar 15 13:03:58 2025 estimated available RAM is 257736.5 MB
  23. Sat Mar 15 13:03:58 2025 commencing duplicate removal, pass 1
  24. Sat Mar 15 13:04:08 2025 error -1 reading relation 4700385
  25. Sat Mar 15 13:04:09 2025 error -1 reading relation 4855556
  26. Sat Mar 15 13:04:10 2025 error -1 reading relation 5761077
  27. Sat Mar 15 13:04:16 2025 error -1 reading relation 8051562
  28. Sat Mar 15 13:04:43 2025 error -1 reading relation 21709779
  29. Sat Mar 15 13:04:53 2025 error -1 reading relation 26801550
  30. Sat Mar 15 13:04:56 2025 error -1 reading relation 28188925
  31. Sat Mar 15 13:05:03 2025 error -1 reading relation 31648117
  32. Sat Mar 15 13:05:06 2025 error -1 reading relation 32688170
  33. Sat Mar 15 13:06:22 2025 error -1 reading relation 68465526
  34. Sat Mar 15 13:07:11 2025 error -1 reading relation 91335698
  35. Sat Mar 15 13:07:18 2025 error -1 reading relation 94514275
  36. Sat Mar 15 13:07:35 2025 error -1 reading relation 102150114
  37. Sat Mar 15 13:07:43 2025 error -1 reading relation 105221197
  38. Sat Mar 15 13:08:08 2025 error -1 reading relation 116521891
  39. Sat Mar 15 13:09:42 2025 error -1 reading relation 166292148
  40. Sat Mar 15 13:09:42 2025 error -1 reading relation 166390382
  41. Sat Mar 15 13:10:17 2025 error -1 reading relation 183867608
  42. Sat Mar 15 13:11:05 2025 error -1 reading relation 206605977
  43. Sat Mar 15 13:11:28 2025 error -1 reading relation 217464014
  44. Sat Mar 15 13:11:32 2025 error -1 reading relation 219446095
  45. Sat Mar 15 13:12:04 2025 error -1 reading relation 235490325
  46. Sat Mar 15 13:12:09 2025 error -1 reading relation 237767221
  47. Sat Mar 15 13:12:32 2025 error -1 reading relation 249322989
  48. Sat Mar 15 13:12:50 2025 error -1 reading relation 259496913
  49. Sat Mar 15 13:12:53 2025 error -1 reading relation 260890220
  50. Sat Mar 15 13:12:57 2025 error -1 reading relation 263039949
  51. Sat Mar 15 13:13:08 2025 error -1 reading relation 268720396
  52. Sat Mar 15 13:13:24 2025 error -1 reading relation 277183371
  53. Sat Mar 15 13:14:14 2025 error -15 reading relation 302369828
  54. Sat Mar 15 13:14:15 2025 error -1 reading relation 302521357
  55. Sat Mar 15 13:14:21 2025 skipped 1 relations with composite factors
  56. Sat Mar 15 13:14:21 2025 skipped 253 malformed relations
  57. Sat Mar 15 13:14:21 2025 found 62866364 hash collisions in 304920152 relations
  58. Sat Mar 15 13:14:53 2025 added 121396 free relations
  59. Sat Mar 15 13:14:53 2025 commencing duplicate removal, pass 2
  60. Sat Mar 15 13:23:06 2025 found 66783216 duplicates and 238258332 unique relations
  61. Sat Mar 15 13:23:06 2025 memory use: 1705.5 MB
  62. Sat Mar 15 13:23:07 2025 reading ideals above 720000
  63. Sat Mar 15 13:23:07 2025 commencing singleton removal, initial pass
  64. Sat Mar 15 13:41:38 2025 memory use: 6024.0 MB
  65. Sat Mar 15 13:41:38 2025 reading all ideals from disk
  66. Sat Mar 15 13:41:45 2025 memory use: 10804.2 MB
  67. Sat Mar 15 13:42:22 2025 keeping 225145990 ideals with weight <= 200, target excess is 1194095
  68. Sat Mar 15 13:43:08 2025 commencing in-memory singleton removal
  69. Sat Mar 15 13:43:12 2025 begin with 238258332 relations and 225145990 unique ideals
  70. Sat Mar 15 13:43:30 2025 reduce to 131743092 relations and 105491782 ideals in 15 passes
  71. Sat Mar 15 13:43:30 2025 max relations containing the same ideal: 147
  72. Sat Mar 15 13:44:35 2025 removing 11528604 relations and 9528604 ideals in 2000000 cliques
  73. Sat Mar 15 13:44:42 2025 commencing in-memory singleton removal
  74. Sat Mar 15 13:44:44 2025 begin with 120214488 relations and 105491782 unique ideals
  75. Sat Mar 15 13:44:52 2025 reduce to 119461924 relations and 95195942 ideals in 9 passes
  76. Sat Mar 15 13:44:52 2025 max relations containing the same ideal: 135
  77. Sat Mar 15 13:45:54 2025 removing 8757479 relations and 6757479 ideals in 2000000 cliques
  78. Sat Mar 15 13:46:00 2025 commencing in-memory singleton removal
  79. Sat Mar 15 13:46:01 2025 begin with 110704445 relations and 95195942 unique ideals
  80. Sat Mar 15 13:46:08 2025 reduce to 110196322 relations and 87921660 ideals in 9 passes
  81. Sat Mar 15 13:46:08 2025 max relations containing the same ideal: 128
  82. Sat Mar 15 13:47:04 2025 removing 7931795 relations and 5931795 ideals in 2000000 cliques
  83. Sat Mar 15 13:47:09 2025 commencing in-memory singleton removal
  84. Sat Mar 15 13:47:11 2025 begin with 102264527 relations and 87921660 unique ideals
  85. Sat Mar 15 13:47:17 2025 reduce to 101811680 relations and 81529250 ideals in 8 passes
  86. Sat Mar 15 13:47:17 2025 max relations containing the same ideal: 120
  87. Sat Mar 15 13:48:10 2025 removing 7507310 relations and 5507310 ideals in 2000000 cliques
  88. Sat Mar 15 13:48:14 2025 commencing in-memory singleton removal
  89. Sat Mar 15 13:48:16 2025 begin with 94304370 relations and 81529250 unique ideals
  90. Sat Mar 15 13:48:21 2025 reduce to 93868977 relations and 75578685 ideals in 7 passes
  91. Sat Mar 15 13:48:21 2025 max relations containing the same ideal: 114
  92. Sat Mar 15 13:49:10 2025 removing 7254055 relations and 5254055 ideals in 2000000 cliques
  93. Sat Mar 15 13:49:15 2025 commencing in-memory singleton removal
  94. Sat Mar 15 13:49:16 2025 begin with 86614922 relations and 75578685 unique ideals
  95. Sat Mar 15 13:49:20 2025 reduce to 86183034 relations and 69884362 ideals in 7 passes
  96. Sat Mar 15 13:49:20 2025 max relations containing the same ideal: 105
  97. Sat Mar 15 13:50:06 2025 removing 7088206 relations and 5088206 ideals in 2000000 cliques
  98. Sat Mar 15 13:50:10 2025 commencing in-memory singleton removal
  99. Sat Mar 15 13:50:12 2025 begin with 79094828 relations and 69884362 unique ideals
  100. Sat Mar 15 13:50:16 2025 reduce to 78652450 relations and 64344450 ideals in 8 passes
  101. Sat Mar 15 13:50:16 2025 max relations containing the same ideal: 100
  102. Sat Mar 15 13:50:57 2025 removing 6982634 relations and 4982634 ideals in 2000000 cliques
  103. Sat Mar 15 13:51:02 2025 commencing in-memory singleton removal
  104. Sat Mar 15 13:51:03 2025 begin with 71669816 relations and 64344450 unique ideals
  105. Sat Mar 15 13:51:06 2025 reduce to 71202713 relations and 58884231 ideals in 7 passes
  106. Sat Mar 15 13:51:06 2025 max relations containing the same ideal: 95
  107. Sat Mar 15 13:51:45 2025 removing 6923424 relations and 4923424 ideals in 2000000 cliques
  108. Sat Mar 15 13:51:49 2025 commencing in-memory singleton removal
  109. Sat Mar 15 13:51:50 2025 begin with 64279289 relations and 58884231 unique ideals
  110. Sat Mar 15 13:51:54 2025 reduce to 63776164 relations and 53445218 ideals in 8 passes
  111. Sat Mar 15 13:51:54 2025 max relations containing the same ideal: 87
  112. Sat Mar 15 13:52:28 2025 removing 6907757 relations and 4907757 ideals in 2000000 cliques
  113. Sat Mar 15 13:52:32 2025 commencing in-memory singleton removal
  114. Sat Mar 15 13:52:33 2025 begin with 56868407 relations and 53445218 unique ideals
  115. Sat Mar 15 13:52:36 2025 reduce to 56309724 relations and 47963272 ideals in 8 passes
  116. Sat Mar 15 13:52:36 2025 max relations containing the same ideal: 80
  117. Sat Mar 15 13:53:06 2025 removing 6924817 relations and 4924817 ideals in 2000000 cliques
  118. Sat Mar 15 13:53:10 2025 commencing in-memory singleton removal
  119. Sat Mar 15 13:53:11 2025 begin with 49384907 relations and 47963272 unique ideals
  120. Sat Mar 15 13:53:14 2025 reduce to 48746445 relations and 42380546 ideals in 8 passes
  121. Sat Mar 15 13:53:14 2025 max relations containing the same ideal: 73
  122. Sat Mar 15 13:53:41 2025 removing 6990192 relations and 4990192 ideals in 2000000 cliques
  123. Sat Mar 15 13:53:44 2025 commencing in-memory singleton removal
  124. Sat Mar 15 13:53:45 2025 begin with 41756253 relations and 42380546 unique ideals
  125. Sat Mar 15 13:53:47 2025 reduce to 40994006 relations and 36601323 ideals in 8 passes
  126. Sat Mar 15 13:53:47 2025 max relations containing the same ideal: 66
  127. Sat Mar 15 13:54:09 2025 removing 7106572 relations and 5106572 ideals in 2000000 cliques
  128. Sat Mar 15 13:54:12 2025 commencing in-memory singleton removal
  129. Sat Mar 15 13:54:13 2025 begin with 33887434 relations and 36601323 unique ideals
  130. Sat Mar 15 13:54:15 2025 reduce to 32918360 relations and 30484638 ideals in 10 passes
  131. Sat Mar 15 13:54:15 2025 max relations containing the same ideal: 58
  132. Sat Mar 15 13:54:34 2025 removing 4438117 relations and 3389546 ideals in 1048571 cliques
  133. Sat Mar 15 13:54:36 2025 commencing in-memory singleton removal
  134. Sat Mar 15 13:54:36 2025 begin with 28480243 relations and 30484638 unique ideals
  135. Sat Mar 15 13:54:38 2025 reduce to 28010705 relations and 26612448 ideals in 11 passes
  136. Sat Mar 15 13:54:38 2025 max relations containing the same ideal: 53
  137. Sat Mar 15 13:54:54 2025 removing 115331 relations and 102225 ideals in 13106 cliques
  138. Sat Mar 15 13:54:56 2025 commencing in-memory singleton removal
  139. Sat Mar 15 13:54:56 2025 begin with 27895374 relations and 26612448 unique ideals
  140. Sat Mar 15 13:54:57 2025 reduce to 27895102 relations and 26509951 ideals in 5 passes
  141. Sat Mar 15 13:54:57 2025 max relations containing the same ideal: 53
  142. Sat Mar 15 13:55:01 2025 relations with 0 large ideals: 4807
  143. Sat Mar 15 13:55:01 2025 relations with 1 large ideals: 64808
  144. Sat Mar 15 13:55:01 2025 relations with 2 large ideals: 665785
  145. Sat Mar 15 13:55:01 2025 relations with 3 large ideals: 2866289
  146. Sat Mar 15 13:55:01 2025 relations with 4 large ideals: 6411436
  147. Sat Mar 15 13:55:01 2025 relations with 5 large ideals: 8160563
  148. Sat Mar 15 13:55:01 2025 relations with 6 large ideals: 6162981
  149. Sat Mar 15 13:55:01 2025 relations with 7+ large ideals: 3558433
  150. Sat Mar 15 13:55:01 2025 commencing 2-way merge
  151. Sat Mar 15 13:55:22 2025 reduce to 16590945 relation sets and 15205794 unique ideals
  152. Sat Mar 15 13:55:22 2025 commencing full merge
  153. Sat Mar 15 14:03:44 2025 memory use: 1779.5 MB
  154. Sat Mar 15 14:03:46 2025 found 6854471 cycles, need 6849994
  155. Sat Mar 15 14:03:49 2025 weight of 6849994 cycles is about 959688854 (140.10/cycle)
  156. Sat Mar 15 14:03:49 2025 distribution of cycle lengths:
  157. Sat Mar 15 14:03:49 2025 1 relations: 334755
  158. Sat Mar 15 14:03:49 2025 2 relations: 373460
  159. Sat Mar 15 14:03:49 2025 3 relations: 397158
  160. Sat Mar 15 14:03:49 2025 4 relations: 398497
  161. Sat Mar 15 14:03:49 2025 5 relations: 407506
  162. Sat Mar 15 14:03:49 2025 6 relations: 407226
  163. Sat Mar 15 14:03:49 2025 7 relations: 406736
  164. Sat Mar 15 14:03:49 2025 8 relations: 405202
  165. Sat Mar 15 14:03:49 2025 9 relations: 390963
  166. Sat Mar 15 14:03:49 2025 10+ relations: 3328491
  167. Sat Mar 15 14:03:49 2025 heaviest cycle: 28 relations
  168. Sat Mar 15 14:03:53 2025 commencing cycle optimization
  169. Sat Mar 15 14:04:19 2025 start with 69873975 relations
  170. Sat Mar 15 14:08:23 2025 pruned 3223209 relations
  171. Sat Mar 15 14:08:24 2025 memory use: 1833.8 MB
  172. Sat Mar 15 14:08:24 2025 distribution of cycle lengths:
  173. Sat Mar 15 14:08:24 2025 1 relations: 334755
  174. Sat Mar 15 14:08:24 2025 2 relations: 383021
  175. Sat Mar 15 14:08:24 2025 3 relations: 412698
  176. Sat Mar 15 14:08:24 2025 4 relations: 414239
  177. Sat Mar 15 14:08:24 2025 5 relations: 426572
  178. Sat Mar 15 14:08:24 2025 6 relations: 426123
  179. Sat Mar 15 14:08:24 2025 7 relations: 429033
  180. Sat Mar 15 14:08:24 2025 8 relations: 425737
  181. Sat Mar 15 14:08:24 2025 9 relations: 412138
  182. Sat Mar 15 14:08:24 2025 10+ relations: 3185678
  183. Sat Mar 15 14:08:24 2025 heaviest cycle: 28 relations
  184. Sat Mar 15 14:08:40 2025 RelProcTime: 3882
  185. Sat Mar 15 14:08:40 2025
  186. Sat Mar 15 14:08:40 2025 commencing linear algebra
  187. Sat Mar 15 14:08:40 2025 using VBITS=256
  188. Sat Mar 15 14:08:40 2025 stopping after matrix build
  189. Sat Mar 15 14:08:40 2025 initialized process (0,0) of 1 x 1 grid
  190. Sat Mar 15 14:08:41 2025 read 6849994 cycles
  191. Sat Mar 15 14:09:04 2025 cycles contain 26971820 unique relations
  192. Sat Mar 15 14:14:37 2025 read 26971820 relations
  193. Sat Mar 15 14:14:40 2025 using 20 quadratic characters above 4294917295
  194. Sat Mar 15 14:14:45 2025 building initial matrix
  195. Sat Mar 15 14:22:32 2025 memory use: 3645.3 MB
  196. Sat Mar 15 14:22:40 2025 read 6849994 cycles
  197. Sat Mar 15 14:22:42 2025 matrix is 6849817 x 6849994 (3676.2 MB) with weight 1108254353 (161.79/col)
  198. Sat Mar 15 14:22:42 2025 sparse part has weight 881494984 (128.69/col)
  199. Sat Mar 15 14:24:43 2025 filtering completed in 2 passes
  200. Sat Mar 15 14:24:46 2025 matrix is 6849698 x 6849874 (3676.2 MB) with weight 1108248198 (161.79/col)
  201. Sat Mar 15 14:24:46 2025 sparse part has weight 881492949 (128.69/col)
  202. Sat Mar 15 14:25:36 2025 BLanczosTime: 1016
  203. Sat Mar 15 14:25:36 2025 elapsed time 01:21:39
  204. Sat Mar 15 20:33:31 2025
  205. Sat Mar 15 20:33:31 2025
  206. Sat Mar 15 20:33:31 2025 Msieve v. 1.54 (SVN Unversioned directory)
  207. Sat Mar 15 20:33:31 2025 random seeds: 3c9e65bd a9f968c7
  208. Sat Mar 15 20:33:31 2025 Using 96 OpenMP threads
  209. Sat Mar 15 20:33:31 2025 factoring 26697861554572863497259226382941521144203493465440188773622718764285717141516645615504763397880875585431009497851331594731211574170240218410506640152666998707343187 (164 digits)
  210. Sat Mar 15 20:33:32 2025 searching for 15-digit factors
  211. Sat Mar 15 20:33:32 2025 commencing number field sieve (164-digit input)
  212. Sat Mar 15 20:33:32 2025 R0: -59045486667971835172595689957338
  213. Sat Mar 15 20:33:32 2025 R1: 89728771704438119
  214. Sat Mar 15 20:33:32 2025 A0: -121529588201162667673972154704155261268285
  215. Sat Mar 15 20:33:32 2025 A1: 27234688123456230509848253433188933
  216. Sat Mar 15 20:33:32 2025 A2: -768148376220467226671633833
  217. Sat Mar 15 20:33:32 2025 A3: -91057847056166837213
  218. Sat Mar 15 20:33:32 2025 A4: 234137264798
  219. Sat Mar 15 20:33:32 2025 A5: 37200
  220. Sat Mar 15 20:33:32 2025 skew 26659179.23, size 6.156e-16, alpha -7.175, combined = 8.381e-13 rroots = 5
  221. Sat Mar 15 20:33:32 2025
  222. Sat Mar 15 20:33:32 2025 commencing linear algebra
  223. Sat Mar 15 20:33:32 2025 using VBITS=256
  224. Sat Mar 15 20:33:32 2025 skipping matrix build
  225. Sat Mar 15 20:33:36 2025 matrix starts at (0, 0)
  226. Sat Mar 15 20:33:37 2025 matrix is 6849698 x 6849874 (3676.2 MB) with weight 1108248198 (161.79/col)
  227. Sat Mar 15 20:33:37 2025 sparse part has weight 881492949 (128.69/col)
  228. Sat Mar 15 20:33:37 2025 saving the first 240 matrix rows for later
  229. Sat Mar 15 20:33:38 2025 matrix includes 256 packed rows
  230. Sat Mar 15 20:33:40 2025 matrix is 6849458 x 6849874 (3282.8 MB) with weight 805089713 (117.53/col)
  231. Sat Mar 15 20:33:40 2025 sparse part has weight 750969172 (109.63/col)
  232. Sat Mar 15 20:33:40 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  233. Sat Mar 15 20:33:55 2025 commencing Lanczos iteration (96 threads)
  234. Sat Mar 15 20:33:55 2025 memory use: 4332.9 MB
  235. Sat Mar 15 20:34:47 2025 linear algebra at 0.4%, ETA 3h 9m
  236. Sat Mar 15 20:36:00 2025 checking every 30000 dimensions, checkpointing every 2250000 dimensions
  237. Sat Mar 15 23:28:45 2025 lanczos halted after 26837 iterations (dim = 6849456)
  238. Sat Mar 15 23:29:17 2025 recovered 28 nontrivial dependencies
  239. Sat Mar 15 23:29:17 2025 BLanczosTime: 10545
  240. Sat Mar 15 23:29:17 2025
  241. Sat Mar 15 23:29:17 2025 commencing square root phase
  242. Sat Mar 15 23:29:17 2025 handling dependencies 1 to 64
  243. Sat Mar 15 23:29:17 2025 reading relations for dependency 1
  244. Sat Mar 15 23:29:18 2025 read 3426430 cycles
  245. Sat Mar 15 23:29:24 2025 cycles contain 13489836 unique relations
  246. Sat Mar 15 23:34:19 2025 read 13489836 relations
  247. Sat Mar 15 23:35:42 2025 multiplying 13489836 relations
  248. Sat Mar 15 23:45:59 2025 multiply complete, coefficients have about 700.18 million bits
  249. Sat Mar 15 23:46:02 2025 initial square root is modulo 1912919
  250. Sat Mar 15 23:53:18 2025 GCD is N, no factor found
  251. Sat Mar 15 23:53:18 2025 reading relations for dependency 2
  252. Sat Mar 15 23:53:19 2025 read 3426882 cycles
  253. Sat Mar 15 23:53:29 2025 cycles contain 13487716 unique relations
  254. Sat Mar 15 23:58:41 2025 read 13487716 relations
  255. Sat Mar 15 23:59:42 2025 multiplying 13487716 relations
  256. Sun Mar 16 00:08:58 2025 multiply complete, coefficients have about 700.07 million bits
  257. Sun Mar 16 00:09:01 2025 initial square root is modulo 1908581
  258. Sun Mar 16 00:15:59 2025 sqrtTime: 2802
  259. Sun Mar 16 00:15:59 2025 p73 factor: 1285648933003628664335761317530587110461520911720034154414966118538061693
  260. Sun Mar 16 00:15:59 2025 p92 factor: 20766058967745832088431135190748049989487588784823061099171750000981971839075153840638438159
  261. Sun Mar 16 00:15:59 2025 elapsed time 03:42:28
  262.  
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