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  1. Wed Aug 20 15:54:53 2025 Msieve v. 1.54 (SVN Unversioned directory)
  2. Wed Aug 20 15:54:53 2025 random seeds: fe118d8f 70136bd8
  3. Wed Aug 20 15:54:53 2025 MPI process 0 of 1
  4. Wed Aug 20 15:54:53 2025 Using 32 OpenMP threads
  5. Wed Aug 20 15:54:53 2025 factoring 2913317017906894614677802948840367995346470704036680091904296148860600227682087114720961989378385271883328264383264610387384088282325283561616126763745484535091491421255389451289967853499 (187 digits)
  6. Wed Aug 20 15:54:54 2025 searching for 15-digit factors
  7. Wed Aug 20 15:54:54 2025 commencing number field sieve (187-digit input)
  8. Wed Aug 20 15:54:54 2025 R0: -880128164454478038601157512228512920
  9. Wed Aug 20 15:54:54 2025 R1: 4879874376543959454754931
  10. Wed Aug 20 15:54:54 2025 A0: -123820157897377858428662228749170024739302
  11. Wed Aug 20 15:54:54 2025 A1: 476238862302733197490544539466516415
  12. Wed Aug 20 15:54:54 2025 A2: -28750759905375631244001334608
  13. Wed Aug 20 15:54:54 2025 A3: -9085687042133284035815
  14. Wed Aug 20 15:54:54 2025 A4: 54341545711494
  15. Wed Aug 20 15:54:54 2025 A5: 11032560
  16. Wed Aug 20 15:54:54 2025 skew 13881745.12, size 3.599e-18, alpha -6.031, combined = 3.924e-14 rroots = 5
  17. Wed Aug 20 15:54:54 2025
  18. Wed Aug 20 15:54:54 2025 commencing relation filtering
  19. Wed Aug 20 15:54:54 2025 setting target matrix density to 130.0
  20. Wed Aug 20 15:54:54 2025 estimated available RAM is 257736.5 MB
  21. Wed Aug 20 15:54:54 2025 commencing duplicate removal, pass 1
  22. Wed Aug 20 16:14:42 2025 skipped 1 relations with b > 2^32
  23. Wed Aug 20 16:14:42 2025 skipped 7 relations with composite factors
  24. Wed Aug 20 16:14:42 2025 skipped 1040 malformed relations
  25. Wed Aug 20 16:14:42 2025 found 108748656 hash collisions in 487476117 relations
  26. Wed Aug 20 16:15:08 2025 commencing duplicate removal, pass 2
  27. Wed Aug 20 16:27:47 2025 found 116444152 duplicates and 371031965 unique relations
  28. Wed Aug 20 16:27:47 2025 memory use: 2899.0 MB
  29. Wed Aug 20 16:27:47 2025 reading ideals above 720000
  30. Wed Aug 20 16:27:47 2025 commencing singleton removal, initial pass
  31. Wed Aug 20 17:09:17 2025 memory use: 11024.0 MB
  32. Wed Aug 20 17:09:18 2025 reading all ideals from disk
  33. Wed Aug 20 17:09:28 2025 memory use: 18467.5 MB
  34. Wed Aug 20 17:10:43 2025 keeping 342171491 ideals with weight <= 200, target excess is 1877102
  35. Wed Aug 20 17:12:16 2025 commencing in-memory singleton removal
  36. Wed Aug 20 17:12:25 2025 begin with 371031965 relations and 342171491 unique ideals
  37. Wed Aug 20 17:13:11 2025 reduce to 246042390 relations and 205025523 ideals in 16 passes
  38. Wed Aug 20 17:13:11 2025 max relations containing the same ideal: 163
  39. Wed Aug 20 17:15:26 2025 removing 13363762 relations and 11363762 ideals in 2000000 cliques
  40. Wed Aug 20 17:15:37 2025 commencing in-memory singleton removal
  41. Wed Aug 20 17:15:44 2025 begin with 232678628 relations and 205025523 unique ideals
  42. Wed Aug 20 17:16:06 2025 reduce to 232100330 relations and 193076867 ideals in 9 passes
  43. Wed Aug 20 17:16:06 2025 max relations containing the same ideal: 160
  44. Wed Aug 20 17:18:15 2025 removing 10097404 relations and 8097404 ideals in 2000000 cliques
  45. Wed Aug 20 17:18:24 2025 commencing in-memory singleton removal
  46. Wed Aug 20 17:18:30 2025 begin with 222002926 relations and 193076867 unique ideals
  47. Wed Aug 20 17:18:49 2025 reduce to 221636610 relations and 184609693 ideals in 8 passes
  48. Wed Aug 20 17:18:49 2025 max relations containing the same ideal: 154
  49. Wed Aug 20 17:20:51 2025 removing 9085057 relations and 7085057 ideals in 2000000 cliques
  50. Wed Aug 20 17:20:59 2025 commencing in-memory singleton removal
  51. Wed Aug 20 17:21:05 2025 begin with 212551553 relations and 184609693 unique ideals
  52. Wed Aug 20 17:21:23 2025 reduce to 212237260 relations and 177207520 ideals in 8 passes
  53. Wed Aug 20 17:21:23 2025 max relations containing the same ideal: 153
  54. Wed Aug 20 17:23:13 2025 removing 8533774 relations and 6533774 ideals in 2000000 cliques
  55. Wed Aug 20 17:23:21 2025 commencing in-memory singleton removal
  56. Wed Aug 20 17:23:26 2025 begin with 203703486 relations and 177207520 unique ideals
  57. Wed Aug 20 17:23:40 2025 reduce to 203412132 relations and 170379748 ideals in 7 passes
  58. Wed Aug 20 17:23:40 2025 max relations containing the same ideal: 146
  59. Wed Aug 20 17:25:33 2025 removing 8178378 relations and 6178378 ideals in 2000000 cliques
  60. Wed Aug 20 17:25:41 2025 commencing in-memory singleton removal
  61. Wed Aug 20 17:25:45 2025 begin with 195233754 relations and 170379748 unique ideals
  62. Wed Aug 20 17:26:00 2025 reduce to 194954511 relations and 163919464 ideals in 7 passes
  63. Wed Aug 20 17:26:00 2025 max relations containing the same ideal: 140
  64. Wed Aug 20 17:27:45 2025 removing 7930019 relations and 5930019 ideals in 2000000 cliques
  65. Wed Aug 20 17:27:52 2025 commencing in-memory singleton removal
  66. Wed Aug 20 17:27:58 2025 begin with 187024492 relations and 163919464 unique ideals
  67. Wed Aug 20 17:28:12 2025 reduce to 186751320 relations and 157713717 ideals in 7 passes
  68. Wed Aug 20 17:28:12 2025 max relations containing the same ideal: 135
  69. Wed Aug 20 17:30:08 2025 removing 7757587 relations and 5757587 ideals in 2000000 cliques
  70. Wed Aug 20 17:30:17 2025 commencing in-memory singleton removal
  71. Wed Aug 20 17:30:23 2025 begin with 178993733 relations and 157713717 unique ideals
  72. Wed Aug 20 17:30:36 2025 reduce to 178722066 relations and 151681720 ideals in 7 passes
  73. Wed Aug 20 17:30:36 2025 max relations containing the same ideal: 133
  74. Wed Aug 20 17:32:41 2025 removing 7631017 relations and 5631017 ideals in 2000000 cliques
  75. Wed Aug 20 17:32:50 2025 commencing in-memory singleton removal
  76. Wed Aug 20 17:32:55 2025 begin with 171091049 relations and 151681720 unique ideals
  77. Wed Aug 20 17:33:08 2025 reduce to 170817880 relations and 145774743 ideals in 7 passes
  78. Wed Aug 20 17:33:08 2025 max relations containing the same ideal: 131
  79. Wed Aug 20 17:35:08 2025 removing 7538267 relations and 5538267 ideals in 2000000 cliques
  80. Wed Aug 20 17:35:17 2025 commencing in-memory singleton removal
  81. Wed Aug 20 17:35:21 2025 begin with 163279613 relations and 145774743 unique ideals
  82. Wed Aug 20 17:35:33 2025 reduce to 163001398 relations and 139955365 ideals in 7 passes
  83. Wed Aug 20 17:35:33 2025 max relations containing the same ideal: 128
  84. Wed Aug 20 17:37:28 2025 removing 7478634 relations and 5478634 ideals in 2000000 cliques
  85. Wed Aug 20 17:37:37 2025 commencing in-memory singleton removal
  86. Wed Aug 20 17:37:41 2025 begin with 155522764 relations and 139955365 unique ideals
  87. Wed Aug 20 17:37:53 2025 reduce to 155236153 relations and 134187000 ideals in 7 passes
  88. Wed Aug 20 17:37:53 2025 max relations containing the same ideal: 126
  89. Wed Aug 20 17:39:39 2025 removing 7440310 relations and 5440310 ideals in 2000000 cliques
  90. Wed Aug 20 17:39:51 2025 commencing in-memory singleton removal
  91. Wed Aug 20 17:39:55 2025 begin with 147795843 relations and 134187000 unique ideals
  92. Wed Aug 20 17:40:03 2025 reduce to 147500425 relations and 128447859 ideals in 6 passes
  93. Wed Aug 20 17:40:03 2025 max relations containing the same ideal: 119
  94. Wed Aug 20 17:41:46 2025 removing 7425475 relations and 5425475 ideals in 2000000 cliques
  95. Wed Aug 20 17:41:53 2025 commencing in-memory singleton removal
  96. Wed Aug 20 17:41:57 2025 begin with 140074950 relations and 128447859 unique ideals
  97. Wed Aug 20 17:42:06 2025 reduce to 139768044 relations and 122711678 ideals in 7 passes
  98. Wed Aug 20 17:42:06 2025 max relations containing the same ideal: 112
  99. Wed Aug 20 17:43:41 2025 removing 7426787 relations and 5426787 ideals in 2000000 cliques
  100. Wed Aug 20 17:43:48 2025 commencing in-memory singleton removal
  101. Wed Aug 20 17:43:51 2025 begin with 132341257 relations and 122711678 unique ideals
  102. Wed Aug 20 17:44:01 2025 reduce to 132016377 relations and 116955916 ideals in 7 passes
  103. Wed Aug 20 17:44:01 2025 max relations containing the same ideal: 108
  104. Wed Aug 20 17:45:49 2025 removing 7447581 relations and 5447581 ideals in 2000000 cliques
  105. Wed Aug 20 17:45:57 2025 commencing in-memory singleton removal
  106. Wed Aug 20 17:46:01 2025 begin with 124568796 relations and 116955916 unique ideals
  107. Wed Aug 20 17:46:09 2025 reduce to 124224234 relations and 111159134 ideals in 6 passes
  108. Wed Aug 20 17:46:09 2025 max relations containing the same ideal: 103
  109. Wed Aug 20 17:47:59 2025 removing 7483588 relations and 5483588 ideals in 2000000 cliques
  110. Wed Aug 20 17:48:05 2025 commencing in-memory singleton removal
  111. Wed Aug 20 17:48:08 2025 begin with 116740646 relations and 111159134 unique ideals
  112. Wed Aug 20 17:48:16 2025 reduce to 116370321 relations and 105300105 ideals in 7 passes
  113. Wed Aug 20 17:48:16 2025 max relations containing the same ideal: 98
  114. Wed Aug 20 17:49:23 2025 removing 7544663 relations and 5544663 ideals in 2000000 cliques
  115. Wed Aug 20 17:49:28 2025 commencing in-memory singleton removal
  116. Wed Aug 20 17:49:31 2025 begin with 108825658 relations and 105300105 unique ideals
  117. Wed Aug 20 17:49:38 2025 reduce to 108422739 relations and 99346442 ideals in 7 passes
  118. Wed Aug 20 17:49:38 2025 max relations containing the same ideal: 96
  119. Wed Aug 20 17:50:47 2025 removing 7622200 relations and 5622200 ideals in 2000000 cliques
  120. Wed Aug 20 17:50:52 2025 commencing in-memory singleton removal
  121. Wed Aug 20 17:50:55 2025 begin with 100800539 relations and 99346442 unique ideals
  122. Wed Aug 20 17:51:02 2025 reduce to 100357439 relations and 93273999 ideals in 8 passes
  123. Wed Aug 20 17:51:02 2025 max relations containing the same ideal: 89
  124. Wed Aug 20 17:52:14 2025 removing 7733940 relations and 5733940 ideals in 2000000 cliques
  125. Wed Aug 20 17:52:20 2025 commencing in-memory singleton removal
  126. Wed Aug 20 17:52:22 2025 begin with 92623499 relations and 93273999 unique ideals
  127. Wed Aug 20 17:52:29 2025 reduce to 92127036 relations and 87035233 ideals in 7 passes
  128. Wed Aug 20 17:52:29 2025 max relations containing the same ideal: 88
  129. Wed Aug 20 17:53:27 2025 removing 7869163 relations and 5869163 ideals in 2000000 cliques
  130. Wed Aug 20 17:53:32 2025 commencing in-memory singleton removal
  131. Wed Aug 20 17:53:34 2025 begin with 84257873 relations and 87035233 unique ideals
  132. Wed Aug 20 17:53:40 2025 reduce to 83695517 relations and 80593376 ideals in 8 passes
  133. Wed Aug 20 17:53:40 2025 max relations containing the same ideal: 80
  134. Wed Aug 20 17:54:43 2025 removing 4353630 relations and 3428928 ideals in 924702 cliques
  135. Wed Aug 20 17:54:48 2025 commencing in-memory singleton removal
  136. Wed Aug 20 17:54:49 2025 begin with 79341887 relations and 80593376 unique ideals
  137. Wed Aug 20 17:54:54 2025 reduce to 79166763 relations and 76987626 ideals in 7 passes
  138. Wed Aug 20 17:54:54 2025 max relations containing the same ideal: 75
  139. Wed Aug 20 17:55:53 2025 relations with 0 large ideals: 6378
  140. Wed Aug 20 17:55:53 2025 relations with 1 large ideals: 38074
  141. Wed Aug 20 17:55:53 2025 relations with 2 large ideals: 515615
  142. Wed Aug 20 17:55:53 2025 relations with 3 large ideals: 3020386
  143. Wed Aug 20 17:55:53 2025 relations with 4 large ideals: 9579232
  144. Wed Aug 20 17:55:53 2025 relations with 5 large ideals: 18189995
  145. Wed Aug 20 17:55:53 2025 relations with 6 large ideals: 21661294
  146. Wed Aug 20 17:55:53 2025 relations with 7+ large ideals: 26155789
  147. Wed Aug 20 17:55:53 2025 commencing 2-way merge
  148. Wed Aug 20 17:57:05 2025 reduce to 50331754 relation sets and 48152617 unique ideals
  149. Wed Aug 20 17:57:05 2025 commencing full merge
  150. Wed Aug 20 18:20:43 2025 memory use: 5872.4 MB
  151. Wed Aug 20 18:20:48 2025 found 21867953 cycles, need 21758817
  152. Wed Aug 20 18:20:56 2025 weight of 21758817 cycles is about 2829346025 (130.03/cycle)
  153. Wed Aug 20 18:20:56 2025 distribution of cycle lengths:
  154. Wed Aug 20 18:20:56 2025 1 relations: 1330533
  155. Wed Aug 20 18:20:56 2025 2 relations: 1439289
  156. Wed Aug 20 18:20:56 2025 3 relations: 1515427
  157. Wed Aug 20 18:20:56 2025 4 relations: 1488730
  158. Wed Aug 20 18:20:56 2025 5 relations: 1492093
  159. Wed Aug 20 18:20:56 2025 6 relations: 1450560
  160. Wed Aug 20 18:20:56 2025 7 relations: 1434650
  161. Wed Aug 20 18:20:56 2025 8 relations: 1367766
  162. Wed Aug 20 18:20:56 2025 9 relations: 1311518
  163. Wed Aug 20 18:20:56 2025 10+ relations: 8928251
  164. Wed Aug 20 18:20:56 2025 heaviest cycle: 28 relations
  165. Wed Aug 20 18:21:03 2025 commencing cycle optimization
  166. Wed Aug 20 18:22:05 2025 start with 194404303 relations
  167. Wed Aug 20 18:31:56 2025 pruned 8716385 relations
  168. Wed Aug 20 18:31:56 2025 memory use: 5230.2 MB
  169. Wed Aug 20 18:31:57 2025 distribution of cycle lengths:
  170. Wed Aug 20 18:31:57 2025 1 relations: 1330533
  171. Wed Aug 20 18:31:57 2025 2 relations: 1478124
  172. Wed Aug 20 18:31:57 2025 3 relations: 1580246
  173. Wed Aug 20 18:31:57 2025 4 relations: 1549919
  174. Wed Aug 20 18:31:57 2025 5 relations: 1563279
  175. Wed Aug 20 18:31:57 2025 6 relations: 1517546
  176. Wed Aug 20 18:31:57 2025 7 relations: 1505066
  177. Wed Aug 20 18:31:57 2025 8 relations: 1431134
  178. Wed Aug 20 18:31:57 2025 9 relations: 1370151
  179. Wed Aug 20 18:31:57 2025 10+ relations: 8432819
  180. Wed Aug 20 18:31:57 2025 heaviest cycle: 28 relations
  181. Wed Aug 20 18:32:40 2025 RelProcTime: 9466
  182. Wed Aug 20 18:32:47 2025
  183. Wed Aug 20 18:32:47 2025 commencing linear algebra
  184. Wed Aug 20 18:32:47 2025 using VBITS=256
  185. Wed Aug 20 18:32:47 2025 stopping after matrix build
  186. Wed Aug 20 18:32:47 2025 initialized process (0,0) of 1 x 1 grid
  187. Wed Aug 20 18:32:50 2025 read 21758817 cycles
  188. Wed Aug 20 18:33:40 2025 cycles contain 77913220 unique relations
  189. Wed Aug 20 18:42:41 2025 read 77913220 relations
  190. Wed Aug 20 18:42:54 2025 using 20 quadratic characters above 4294917295
  191. Wed Aug 20 18:43:06 2025 building initial matrix
  192. Wed Aug 20 19:09:15 2025 memory use: 10992.6 MB
  193. Wed Aug 20 19:09:36 2025 read 21758817 cycles
  194. Wed Aug 20 19:09:40 2025 matrix is 21758640 x 21758817 (10954.7 MB) with weight 3292426134 (151.31/col)
  195. Wed Aug 20 19:09:40 2025 sparse part has weight 2632349178 (120.98/col)
  196. Wed Aug 20 19:18:37 2025 filtering completed in 2 passes
  197. Wed Aug 20 19:18:43 2025 matrix is 21757772 x 21757948 (10954.6 MB) with weight 3292386914 (151.32/col)
  198. Wed Aug 20 19:18:43 2025 sparse part has weight 2632338201 (120.98/col)
  199. Wed Aug 20 19:21:40 2025 BLanczosTime: 2933
  200. Wed Aug 20 19:21:40 2025 elapsed time 03:26:47
  201. Thu Aug 21 03:00:17 2025
  202. Thu Aug 21 03:00:17 2025
  203. Thu Aug 21 03:00:17 2025 Msieve v. 1.54 (SVN Unversioned directory)
  204. Thu Aug 21 03:00:17 2025 random seeds: eb9858f4 8fe39d50
  205. Thu Aug 21 03:00:17 2025 MPI process 0 of 1
  206. Thu Aug 21 03:00:17 2025 Using 64 OpenMP threads
  207. Thu Aug 21 03:00:17 2025 factoring 2913317017906894614677802948840367995346470704036680091904296148860600227682087114720961989378385271883328264383264610387384088282325283561616126763745484535091491421255389451289967853499 (187 digits)
  208. Thu Aug 21 03:00:18 2025 searching for 15-digit factors
  209. Thu Aug 21 03:00:18 2025 commencing number field sieve (187-digit input)
  210. Thu Aug 21 03:00:18 2025 R0: -880128164454478038601157512228512920
  211. Thu Aug 21 03:00:18 2025 R1: 4879874376543959454754931
  212. Thu Aug 21 03:00:18 2025 A0: -123820157897377858428662228749170024739302
  213. Thu Aug 21 03:00:18 2025 A1: 476238862302733197490544539466516415
  214. Thu Aug 21 03:00:18 2025 A2: -28750759905375631244001334608
  215. Thu Aug 21 03:00:18 2025 A3: -9085687042133284035815
  216. Thu Aug 21 03:00:18 2025 A4: 54341545711494
  217. Thu Aug 21 03:00:18 2025 A5: 11032560
  218. Thu Aug 21 03:00:18 2025 skew 13881745.12, size 3.599e-18, alpha -6.031, combined = 3.924e-14 rroots = 5
  219. Thu Aug 21 03:00:18 2025
  220. Thu Aug 21 03:00:18 2025 commencing linear algebra
  221. Thu Aug 21 03:00:18 2025 using VBITS=256
  222. Thu Aug 21 03:00:18 2025 skipping matrix build
  223. Thu Aug 21 03:00:18 2025 initialized process (0,0) of 1 x 1 grid
  224. Thu Aug 21 03:00:33 2025 matrix starts at (0, 0)
  225. Thu Aug 21 03:00:38 2025 matrix is 21757772 x 21757948 (10954.6 MB) with weight 3292386914 (151.32/col)
  226. Thu Aug 21 03:00:38 2025 sparse part has weight 2632338201 (120.98/col)
  227. Thu Aug 21 03:00:38 2025 saving the first 240 matrix rows for later
  228. Thu Aug 21 03:00:45 2025 matrix includes 256 packed rows
  229. Thu Aug 21 03:00:52 2025 matrix is 21757532 x 21757948 (10021.6 MB) with weight 2414029813 (110.95/col)
  230. Thu Aug 21 03:00:52 2025 sparse part has weight 2278974003 (104.74/col)
  231. Thu Aug 21 03:00:52 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  232. Thu Aug 21 03:01:47 2025 commencing Lanczos iteration (64 threads)
  233. Thu Aug 21 03:01:47 2025 memory use: 14209.7 MB
  234. Thu Aug 21 03:05:18 2025 linear algebra at 0.1%, ETA 40h48m
  235. Thu Aug 21 03:10:21 2025 checking every 10000 dimensions, checkpointing every 550000 dimensions
  236. Fri Aug 22 19:03:49 2025 lanczos halted after 85246 iterations (dim = 21757532)
  237. Fri Aug 22 19:05:10 2025 recovered 30 nontrivial dependencies
  238. Fri Aug 22 19:05:14 2025 BLanczosTime: 144296
  239. Fri Aug 22 19:05:14 2025
  240. Fri Aug 22 19:05:14 2025 commencing square root phase
  241. Fri Aug 22 19:05:14 2025 handling dependencies 1 to 64
  242. Fri Aug 22 19:05:14 2025 reading relations for dependency 1
  243. Fri Aug 22 19:05:17 2025 read 10881728 cycles
  244. Fri Aug 22 19:05:47 2025 cycles contain 38951000 unique relations
  245. Fri Aug 22 19:14:24 2025 read 38951000 relations
  246. Fri Aug 22 19:18:35 2025 multiplying 38951000 relations
  247. Fri Aug 22 19:25:01 2025 multiply complete, coefficients have about 2407.69 million bits
  248. Fri Aug 22 19:25:10 2025 initial square root is modulo 251263
  249. Fri Aug 22 19:47:58 2025 sqrtTime: 2564
  250. Fri Aug 22 19:47:58 2025 p83 factor: 99983669575191019155847660314327661883911282351042389539337348032527071975670737227
  251. Fri Aug 22 19:47:58 2025 p104 factor: 29137928526577873526377885823300624493134430666923241615830059576839109879005954360473334678362821504337
  252. Fri Aug 22 19:47:58 2025 elapsed time 40:47:41
  253.  
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