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May 15th, 2025
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  1. Wed May 14 21:26:17 2025
  2. Wed May 14 21:26:17 2025
  3. Wed May 14 21:26:17 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed May 14 21:26:17 2025 random seeds: 89bebc1d 09240be1
  5. Wed May 14 21:26:17 2025 MPI process 0 of 1
  6. Wed May 14 21:26:17 2025 Using 32 OpenMP threads
  7. Wed May 14 21:26:17 2025 factoring 175714447165920020611088463443321940230908317190100257551365053363815163929388637524431379404621359090848214930734068500486648109417263781056447752598405356237 (159 digits)
  8. Wed May 14 21:26:17 2025 searching for 15-digit factors
  9. Wed May 14 21:26:17 2025 commencing number field sieve (159-digit input)
  10. Wed May 14 21:26:17 2025 R0: -4855624879665337940615567208193
  11. Wed May 14 21:26:17 2025 R1: 177852418749488309
  12. Wed May 14 21:26:17 2025 A0: -12845589075967694410015375238922584661120
  13. Wed May 14 21:26:17 2025 A1: 14232600394704558661302860281643352
  14. Wed May 14 21:26:17 2025 A2: -1827753781193990014923342430
  15. Wed May 14 21:26:17 2025 A3: -52846125469029351877
  16. Wed May 14 21:26:17 2025 A4: 3444827979740
  17. Wed May 14 21:26:17 2025 A5: 65100
  18. Wed May 14 21:26:17 2025 skew 20470165.99, size 1.962e-15, alpha -8.458, combined = 1.659e-12 rroots = 5
  19. Wed May 14 21:26:17 2025
  20. Wed May 14 21:26:17 2025 commencing relation filtering
  21. Wed May 14 21:26:17 2025 setting target matrix density to 130.0
  22. Wed May 14 21:26:17 2025 estimated available RAM is 257736.5 MB
  23. Wed May 14 21:26:17 2025 commencing duplicate removal, pass 1
  24. Wed May 14 21:27:06 2025 error -1 reading relation 19260391
  25. Wed May 14 21:29:44 2025 error -1 reading relation 79458207
  26. Wed May 14 21:29:46 2025 error -15 reading relation 80228136
  27. Wed May 14 21:31:17 2025 error -1 reading relation 114494468
  28. Wed May 14 21:32:01 2025 error -1 reading relation 131199818
  29. Wed May 14 21:32:06 2025 error -1 reading relation 132781892
  30. Wed May 14 21:32:11 2025 skipped 35 malformed relations
  31. Wed May 14 21:32:11 2025 found 24670134 hash collisions in 134779499 relations
  32. Wed May 14 21:32:39 2025 added 122046 free relations
  33. Wed May 14 21:32:39 2025 commencing duplicate removal, pass 2
  34. Wed May 14 21:35:51 2025 found 22558209 duplicates and 112343336 unique relations
  35. Wed May 14 21:35:51 2025 memory use: 724.8 MB
  36. Wed May 14 21:35:51 2025 reading ideals above 720000
  37. Wed May 14 21:35:52 2025 commencing singleton removal, initial pass
  38. Wed May 14 21:44:22 2025 memory use: 2756.0 MB
  39. Wed May 14 21:44:22 2025 reading all ideals from disk
  40. Wed May 14 21:44:24 2025 memory use: 5002.9 MB
  41. Wed May 14 21:44:36 2025 keeping 92369910 ideals with weight <= 200, target excess is 581609
  42. Wed May 14 21:44:53 2025 commencing in-memory singleton removal
  43. Wed May 14 21:44:54 2025 begin with 112343336 relations and 92369910 unique ideals
  44. Wed May 14 21:45:01 2025 reduce to 81224685 relations and 58661905 ideals in 11 passes
  45. Wed May 14 21:45:01 2025 max relations containing the same ideal: 171
  46. Wed May 14 21:45:29 2025 removing 7817763 relations and 5817763 ideals in 2000000 cliques
  47. Wed May 14 21:45:33 2025 commencing in-memory singleton removal
  48. Wed May 14 21:45:34 2025 begin with 73406922 relations and 58661905 unique ideals
  49. Wed May 14 21:45:38 2025 reduce to 72811783 relations and 52231040 ideals in 7 passes
  50. Wed May 14 21:45:38 2025 max relations containing the same ideal: 159
  51. Wed May 14 21:46:06 2025 removing 6224233 relations and 4224233 ideals in 2000000 cliques
  52. Wed May 14 21:46:09 2025 commencing in-memory singleton removal
  53. Wed May 14 21:46:10 2025 begin with 66587550 relations and 52231040 unique ideals
  54. Wed May 14 21:46:13 2025 reduce to 66183391 relations and 47591464 ideals in 7 passes
  55. Wed May 14 21:46:13 2025 max relations containing the same ideal: 153
  56. Wed May 14 21:46:43 2025 removing 5802430 relations and 3802430 ideals in 2000000 cliques
  57. Wed May 14 21:46:47 2025 commencing in-memory singleton removal
  58. Wed May 14 21:46:48 2025 begin with 60380961 relations and 47591464 unique ideals
  59. Wed May 14 21:46:51 2025 reduce to 60026807 relations and 43424996 ideals in 6 passes
  60. Wed May 14 21:46:51 2025 max relations containing the same ideal: 142
  61. Wed May 14 21:47:21 2025 removing 5584412 relations and 3584412 ideals in 2000000 cliques
  62. Wed May 14 21:47:25 2025 commencing in-memory singleton removal
  63. Wed May 14 21:47:27 2025 begin with 54442395 relations and 43424996 unique ideals
  64. Wed May 14 21:47:29 2025 reduce to 54105953 relations and 39494081 ideals in 6 passes
  65. Wed May 14 21:47:29 2025 max relations containing the same ideal: 133
  66. Wed May 14 21:47:53 2025 removing 5446845 relations and 3446845 ideals in 2000000 cliques
  67. Wed May 14 21:47:56 2025 commencing in-memory singleton removal
  68. Wed May 14 21:47:57 2025 begin with 48659108 relations and 39494081 unique ideals
  69. Wed May 14 21:48:00 2025 reduce to 48324901 relations and 35702408 ideals in 7 passes
  70. Wed May 14 21:48:00 2025 max relations containing the same ideal: 125
  71. Wed May 14 21:48:26 2025 removing 5352098 relations and 3352098 ideals in 2000000 cliques
  72. Wed May 14 21:48:29 2025 commencing in-memory singleton removal
  73. Wed May 14 21:48:30 2025 begin with 42972803 relations and 35702408 unique ideals
  74. Wed May 14 21:48:32 2025 reduce to 42629803 relations and 31995292 ideals in 6 passes
  75. Wed May 14 21:48:32 2025 max relations containing the same ideal: 117
  76. Wed May 14 21:48:54 2025 removing 5290845 relations and 3290845 ideals in 2000000 cliques
  77. Wed May 14 21:48:57 2025 commencing in-memory singleton removal
  78. Wed May 14 21:48:57 2025 begin with 37338958 relations and 31995292 unique ideals
  79. Wed May 14 21:48:59 2025 reduce to 36974032 relations and 28325229 ideals in 6 passes
  80. Wed May 14 21:48:59 2025 max relations containing the same ideal: 110
  81. Wed May 14 21:49:19 2025 removing 5247968 relations and 3247968 ideals in 2000000 cliques
  82. Wed May 14 21:49:22 2025 commencing in-memory singleton removal
  83. Wed May 14 21:49:22 2025 begin with 31726064 relations and 28325229 unique ideals
  84. Wed May 14 21:49:24 2025 reduce to 31324681 relations and 24658251 ideals in 7 passes
  85. Wed May 14 21:49:24 2025 max relations containing the same ideal: 98
  86. Wed May 14 21:49:41 2025 removing 5222827 relations and 3222827 ideals in 2000000 cliques
  87. Wed May 14 21:49:43 2025 commencing in-memory singleton removal
  88. Wed May 14 21:49:43 2025 begin with 26101854 relations and 24658251 unique ideals
  89. Wed May 14 21:49:44 2025 reduce to 25645267 relations and 20955425 ideals in 6 passes
  90. Wed May 14 21:49:44 2025 max relations containing the same ideal: 80
  91. Wed May 14 21:49:57 2025 removing 5207181 relations and 3207181 ideals in 2000000 cliques
  92. Wed May 14 21:49:59 2025 commencing in-memory singleton removal
  93. Wed May 14 21:49:59 2025 begin with 20438086 relations and 20955425 unique ideals
  94. Wed May 14 21:50:00 2025 reduce to 19896838 relations and 17172678 ideals in 7 passes
  95. Wed May 14 21:50:00 2025 max relations containing the same ideal: 69
  96. Wed May 14 21:50:11 2025 removing 5193126 relations and 3193126 ideals in 2000000 cliques
  97. Wed May 14 21:50:13 2025 commencing in-memory singleton removal
  98. Wed May 14 21:50:13 2025 begin with 14703712 relations and 17172678 unique ideals
  99. Wed May 14 21:50:14 2025 reduce to 14001099 relations and 13219870 ideals in 9 passes
  100. Wed May 14 21:50:14 2025 max relations containing the same ideal: 55
  101. Wed May 14 21:50:21 2025 removing 483383 relations and 376821 ideals in 106562 cliques
  102. Wed May 14 21:50:22 2025 commencing in-memory singleton removal
  103. Wed May 14 21:50:22 2025 begin with 13517716 relations and 13219870 unique ideals
  104. Wed May 14 21:50:23 2025 reduce to 13501854 relations and 12827051 ideals in 6 passes
  105. Wed May 14 21:50:23 2025 max relations containing the same ideal: 54
  106. Wed May 14 21:50:32 2025 relations with 0 large ideals: 1820
  107. Wed May 14 21:50:32 2025 relations with 1 large ideals: 18497
  108. Wed May 14 21:50:32 2025 relations with 2 large ideals: 219083
  109. Wed May 14 21:50:32 2025 relations with 3 large ideals: 1057992
  110. Wed May 14 21:50:32 2025 relations with 4 large ideals: 2614278
  111. Wed May 14 21:50:32 2025 relations with 5 large ideals: 3732793
  112. Wed May 14 21:50:32 2025 relations with 6 large ideals: 3296623
  113. Wed May 14 21:50:32 2025 relations with 7+ large ideals: 2560768
  114. Wed May 14 21:50:32 2025 commencing 2-way merge
  115. Wed May 14 21:50:41 2025 reduce to 9302283 relation sets and 8627480 unique ideals
  116. Wed May 14 21:50:41 2025 commencing full merge
  117. Wed May 14 21:55:27 2025 memory use: 1080.5 MB
  118. Wed May 14 21:55:28 2025 found 4067559 cycles, need 4027680
  119. Wed May 14 21:55:30 2025 weight of 4027680 cycles is about 524492231 (130.22/cycle)
  120. Wed May 14 21:55:30 2025 distribution of cycle lengths:
  121. Wed May 14 21:55:30 2025 1 relations: 66030
  122. Wed May 14 21:55:30 2025 2 relations: 182734
  123. Wed May 14 21:55:30 2025 3 relations: 247856
  124. Wed May 14 21:55:30 2025 4 relations: 276661
  125. Wed May 14 21:55:30 2025 5 relations: 302840
  126. Wed May 14 21:55:30 2025 6 relations: 309268
  127. Wed May 14 21:55:30 2025 7 relations: 309705
  128. Wed May 14 21:55:30 2025 8 relations: 296123
  129. Wed May 14 21:55:30 2025 9 relations: 278577
  130. Wed May 14 21:55:30 2025 10+ relations: 1757886
  131. Wed May 14 21:55:30 2025 heaviest cycle: 28 relations
  132. Wed May 14 21:55:32 2025 commencing cycle optimization
  133. Wed May 14 21:55:48 2025 start with 38257927 relations
  134. Wed May 14 21:58:24 2025 pruned 2224019 relations
  135. Wed May 14 21:58:24 2025 memory use: 950.7 MB
  136. Wed May 14 21:58:24 2025 distribution of cycle lengths:
  137. Wed May 14 21:58:24 2025 1 relations: 66030
  138. Wed May 14 21:58:24 2025 2 relations: 188753
  139. Wed May 14 21:58:24 2025 3 relations: 260961
  140. Wed May 14 21:58:24 2025 4 relations: 292558
  141. Wed May 14 21:58:24 2025 5 relations: 324271
  142. Wed May 14 21:58:24 2025 6 relations: 330715
  143. Wed May 14 21:58:24 2025 7 relations: 332007
  144. Wed May 14 21:58:24 2025 8 relations: 316534
  145. Wed May 14 21:58:24 2025 9 relations: 296528
  146. Wed May 14 21:58:24 2025 10+ relations: 1619323
  147. Wed May 14 21:58:24 2025 heaviest cycle: 28 relations
  148. Wed May 14 21:58:33 2025 RelProcTime: 1936
  149. Wed May 14 21:58:34 2025
  150. Wed May 14 21:58:34 2025 commencing linear algebra
  151. Wed May 14 21:58:34 2025 using VBITS=256
  152. Wed May 14 21:58:34 2025 stopping after matrix build
  153. Wed May 14 21:58:34 2025 initialized process (0,0) of 1 x 1 grid
  154. Wed May 14 21:58:35 2025 read 4027680 cycles
  155. Wed May 14 21:58:43 2025 cycles contain 13197467 unique relations
  156. Wed May 14 22:00:56 2025 read 13197467 relations
  157. Wed May 14 22:00:57 2025 using 20 quadratic characters above 4294917295
  158. Wed May 14 22:00:59 2025 building initial matrix
  159. Wed May 14 22:04:41 2025 memory use: 1832.5 MB
  160. Wed May 14 22:04:44 2025 read 4027680 cycles
  161. Wed May 14 22:04:45 2025 matrix is 4027500 x 4027680 (2009.9 MB) with weight 617818875 (153.39/col)
  162. Wed May 14 22:04:45 2025 sparse part has weight 478549163 (118.82/col)
  163. Wed May 14 22:05:35 2025 filtering completed in 2 passes
  164. Wed May 14 22:05:36 2025 matrix is 4027393 x 4027573 (2009.9 MB) with weight 617812436 (153.40/col)
  165. Wed May 14 22:05:36 2025 sparse part has weight 478546670 (118.82/col)
  166. Wed May 14 22:06:03 2025 BLanczosTime: 449
  167. Wed May 14 22:06:03 2025 elapsed time 00:39:46
  168. Wed May 14 22:45:01 2025
  169. Wed May 14 22:45:01 2025
  170. Wed May 14 22:45:01 2025 Msieve v. 1.54 (SVN Unversioned directory)
  171. Wed May 14 22:45:01 2025 random seeds: 54414f3f fb60f139
  172. Wed May 14 22:45:01 2025 Using 96 OpenMP threads
  173. Wed May 14 22:45:01 2025 factoring 175714447165920020611088463443321940230908317190100257551365053363815163929388637524431379404621359090848214930734068500486648109417263781056447752598405356237 (159 digits)
  174. Wed May 14 22:45:02 2025 searching for 15-digit factors
  175. Wed May 14 22:45:02 2025 commencing number field sieve (159-digit input)
  176. Wed May 14 22:45:02 2025 R0: -4855624879665337940615567208193
  177. Wed May 14 22:45:02 2025 R1: 177852418749488309
  178. Wed May 14 22:45:02 2025 A0: -12845589075967694410015375238922584661120
  179. Wed May 14 22:45:02 2025 A1: 14232600394704558661302860281643352
  180. Wed May 14 22:45:02 2025 A2: -1827753781193990014923342430
  181. Wed May 14 22:45:02 2025 A3: -52846125469029351877
  182. Wed May 14 22:45:02 2025 A4: 3444827979740
  183. Wed May 14 22:45:02 2025 A5: 65100
  184. Wed May 14 22:45:02 2025 skew 20470165.99, size 1.962e-15, alpha -8.458, combined = 1.659e-12 rroots = 5
  185. Wed May 14 22:45:02 2025
  186. Wed May 14 22:45:02 2025 commencing linear algebra
  187. Wed May 14 22:45:02 2025 using VBITS=256
  188. Wed May 14 22:45:02 2025 skipping matrix build
  189. Wed May 14 22:45:04 2025 matrix starts at (0, 0)
  190. Wed May 14 22:45:05 2025 matrix is 4027393 x 4027573 (2009.9 MB) with weight 617812436 (153.40/col)
  191. Wed May 14 22:45:05 2025 sparse part has weight 478546670 (118.82/col)
  192. Wed May 14 22:45:05 2025 saving the first 240 matrix rows for later
  193. Wed May 14 22:45:06 2025 matrix includes 256 packed rows
  194. Wed May 14 22:45:09 2025 matrix is 4027153 x 4027573 (1806.0 MB) with weight 438436786 (108.86/col)
  195. Wed May 14 22:45:09 2025 sparse part has weight 408985307 (101.55/col)
  196. Wed May 14 22:45:09 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  197. Wed May 14 22:45:23 2025 commencing Lanczos iteration (96 threads)
  198. Wed May 14 22:45:23 2025 memory use: 2426.9 MB
  199. Wed May 14 22:46:01 2025 linear algebra at 0.8%, ETA 1h16m
  200. Wed May 14 22:46:41 2025 checking every 60000 dimensions, checkpointing every 3720000 dimensions
  201. Wed May 14 23:43:22 2025 lanczos halted after 15780 iterations (dim = 4027151)
  202. Wed May 14 23:43:42 2025 recovered 27 nontrivial dependencies
  203. Wed May 14 23:43:42 2025 BLanczosTime: 3520
  204. Wed May 14 23:43:42 2025
  205. Wed May 14 23:43:42 2025 commencing square root phase
  206. Wed May 14 23:43:42 2025 handling dependencies 1 to 64
  207. Wed May 14 23:43:42 2025 reading relations for dependency 1
  208. Wed May 14 23:43:43 2025 read 2013799 cycles
  209. Wed May 14 23:43:48 2025 cycles contain 6598474 unique relations
  210. Wed May 14 23:46:29 2025 read 6598474 relations
  211. Wed May 14 23:47:11 2025 multiplying 6598474 relations
  212. Wed May 14 23:51:39 2025 multiply complete, coefficients have about 350.30 million bits
  213. Wed May 14 23:51:40 2025 initial square root is modulo 1930349
  214. Wed May 14 23:54:45 2025 GCD is 1, no factor found
  215. Wed May 14 23:54:45 2025 reading relations for dependency 2
  216. Wed May 14 23:54:46 2025 read 2013198 cycles
  217. Wed May 14 23:54:52 2025 cycles contain 6598690 unique relations
  218. Wed May 14 23:57:32 2025 read 6598690 relations
  219. Wed May 14 23:58:01 2025 multiplying 6598690 relations
  220. Thu May 15 00:02:27 2025 multiply complete, coefficients have about 350.31 million bits
  221. Thu May 15 00:02:29 2025 initial square root is modulo 1930937
  222. Thu May 15 00:05:34 2025 GCD is 1, no factor found
  223. Thu May 15 00:05:34 2025 reading relations for dependency 3
  224. Thu May 15 00:05:35 2025 read 2012012 cycles
  225. Thu May 15 00:05:40 2025 cycles contain 6597328 unique relations
  226. Thu May 15 00:08:20 2025 read 6597328 relations
  227. Thu May 15 00:09:01 2025 multiplying 6597328 relations
  228. Thu May 15 00:13:32 2025 multiply complete, coefficients have about 350.24 million bits
  229. Thu May 15 00:13:34 2025 initial square root is modulo 1924799
  230. Thu May 15 00:16:36 2025 GCD is 1, no factor found
  231. Thu May 15 00:16:36 2025 reading relations for dependency 4
  232. Thu May 15 00:16:37 2025 read 2013466 cycles
  233. Thu May 15 00:16:42 2025 cycles contain 6597598 unique relations
  234. Thu May 15 00:19:18 2025 read 6597598 relations
  235. Thu May 15 00:19:56 2025 multiplying 6597598 relations
  236. Thu May 15 00:24:26 2025 multiply complete, coefficients have about 350.25 million bits
  237. Thu May 15 00:24:27 2025 initial square root is modulo 1926161
  238. Thu May 15 00:27:35 2025 sqrtTime: 2633
  239. Thu May 15 00:27:35 2025 p78 factor: 117163569151682229833500878291666470792382724128153166004401710638236620861943
  240. Thu May 15 00:27:35 2025 p82 factor: 1499736210139149039537524574778573785405980114217450258946105256850436243597191259
  241. Thu May 15 00:27:35 2025 elapsed time 01:42:34
  242.  
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