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  1. Sat Aug 26 14:51:21 2023
  2. Sat Aug 26 14:51:21 2023
  3. Sat Aug 26 14:51:21 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Aug 26 14:51:21 2023 random seeds: e1db5df1 a7ab66d1
  5. Sat Aug 26 14:51:21 2023 factoring 2564199655223575115463201825691622457148176169867814274410408096869700918915604009612211421982284273868382953087180667447715119503112848566915021326567153632567339916990985062343661095714770227313287220699015692228139 (217 digits)
  6. Sat Aug 26 14:51:22 2023 no P-1/P+1/ECM available, skipping
  7. Sat Aug 26 14:51:22 2023 commencing number field sieve (217-digit input)
  8. Sat Aug 26 14:51:22 2023 R0: 4798023594801772159922339452235713249
  9. Sat Aug 26 14:51:22 2023 R1: -1
  10. Sat Aug 26 14:51:22 2023 A0: -1
  11. Sat Aug 26 14:51:22 2023 A1: 0
  12. Sat Aug 26 14:51:22 2023 A2: 0
  13. Sat Aug 26 14:51:22 2023 A3: 0
  14. Sat Aug 26 14:51:22 2023 A4: 0
  15. Sat Aug 26 14:51:22 2023 A5: 0
  16. Sat Aug 26 14:51:22 2023 A6: 4657
  17. Sat Aug 26 14:51:22 2023 skew 0.31, size 2.578e-11, alpha 1.127, combined = 1.287e-12 rroots = 2
  18. Sat Aug 26 14:51:22 2023
  19. Sat Aug 26 14:51:22 2023 commencing relation filtering
  20. Sat Aug 26 14:51:22 2023 estimated available RAM is 15960.0 MB
  21. Sat Aug 26 14:51:22 2023 commencing duplicate removal, pass 1
  22. Sat Aug 26 15:05:24 2023 skipped 83 relations with b > 2^32
  23. Sat Aug 26 15:05:24 2023 found 5259411 hash collisions in 109901063 relations
  24. Sat Aug 26 15:05:36 2023 commencing duplicate removal, pass 2
  25. Sat Aug 26 15:06:06 2023 found 0 duplicates and 109901063 unique relations
  26. Sat Aug 26 15:06:06 2023 memory use: 378.4 MB
  27. Sat Aug 26 15:06:06 2023 reading ideals above 87883776
  28. Sat Aug 26 15:06:06 2023 commencing singleton removal, initial pass
  29. Sat Aug 26 15:16:47 2023 memory use: 2756.0 MB
  30. Sat Aug 26 15:16:48 2023 reading all ideals from disk
  31. Sat Aug 26 15:16:52 2023 memory use: 1810.6 MB
  32. Sat Aug 26 15:16:56 2023 commencing in-memory singleton removal
  33. Sat Aug 26 15:16:59 2023 begin with 109901063 relations and 82749281 unique ideals
  34. Sat Aug 26 15:17:37 2023 reduce to 78520494 relations and 48687770 ideals in 12 passes
  35. Sat Aug 26 15:17:37 2023 max relations containing the same ideal: 44
  36. Sat Aug 26 15:17:41 2023 reading ideals above 720000
  37. Sat Aug 26 15:17:41 2023 commencing singleton removal, initial pass
  38. Sat Aug 26 15:27:55 2023 memory use: 1506.0 MB
  39. Sat Aug 26 15:27:55 2023 reading all ideals from disk
  40. Sat Aug 26 15:28:02 2023 memory use: 2941.2 MB
  41. Sat Aug 26 15:28:10 2023 keeping 58483491 ideals with weight <= 200, target excess is 407850
  42. Sat Aug 26 15:28:19 2023 commencing in-memory singleton removal
  43. Sat Aug 26 15:28:25 2023 begin with 78520494 relations and 58483491 unique ideals
  44. Sat Aug 26 15:29:09 2023 reduce to 78518586 relations and 58481583 ideals in 7 passes
  45. Sat Aug 26 15:29:09 2023 max relations containing the same ideal: 200
  46. Sat Aug 26 15:29:48 2023 removing 7931838 relations and 5931838 ideals in 2000000 cliques
  47. Sat Aug 26 15:29:51 2023 commencing in-memory singleton removal
  48. Sat Aug 26 15:29:57 2023 begin with 70586748 relations and 58481583 unique ideals
  49. Sat Aug 26 15:30:37 2023 reduce to 69946322 relations and 51889294 ideals in 7 passes
  50. Sat Aug 26 15:30:37 2023 max relations containing the same ideal: 194
  51. Sat Aug 26 15:31:11 2023 removing 6375979 relations and 4375979 ideals in 2000000 cliques
  52. Sat Aug 26 15:31:14 2023 commencing in-memory singleton removal
  53. Sat Aug 26 15:31:20 2023 begin with 63570343 relations and 51889294 unique ideals
  54. Sat Aug 26 15:31:55 2023 reduce to 63126510 relations and 47056941 ideals in 7 passes
  55. Sat Aug 26 15:31:55 2023 max relations containing the same ideal: 186
  56. Sat Aug 26 15:32:28 2023 removing 5938698 relations and 3938698 ideals in 2000000 cliques
  57. Sat Aug 26 15:32:30 2023 commencing in-memory singleton removal
  58. Sat Aug 26 15:32:36 2023 begin with 57187812 relations and 47056941 unique ideals
  59. Sat Aug 26 15:33:08 2023 reduce to 56794692 relations and 42713667 ideals in 7 passes
  60. Sat Aug 26 15:33:08 2023 max relations containing the same ideal: 172
  61. Sat Aug 26 15:33:36 2023 removing 5714071 relations and 3714071 ideals in 2000000 cliques
  62. Sat Aug 26 15:33:38 2023 commencing in-memory singleton removal
  63. Sat Aug 26 15:33:43 2023 begin with 51080621 relations and 42713667 unique ideals
  64. Sat Aug 26 15:34:07 2023 reduce to 50702292 relations and 38609359 ideals in 6 passes
  65. Sat Aug 26 15:34:07 2023 max relations containing the same ideal: 160
  66. Sat Aug 26 15:34:32 2023 removing 5568807 relations and 3568807 ideals in 2000000 cliques
  67. Sat Aug 26 15:34:35 2023 commencing in-memory singleton removal
  68. Sat Aug 26 15:34:39 2023 begin with 45133485 relations and 38609359 unique ideals
  69. Sat Aug 26 15:34:59 2023 reduce to 44753357 relations and 34647532 ideals in 6 passes
  70. Sat Aug 26 15:34:59 2023 max relations containing the same ideal: 151
  71. Sat Aug 26 15:35:21 2023 removing 5474834 relations and 3474834 ideals in 2000000 cliques
  72. Sat Aug 26 15:35:23 2023 commencing in-memory singleton removal
  73. Sat Aug 26 15:35:26 2023 begin with 39278523 relations and 34647532 unique ideals
  74. Sat Aug 26 15:35:44 2023 reduce to 38888088 relations and 30767305 ideals in 6 passes
  75. Sat Aug 26 15:35:44 2023 max relations containing the same ideal: 133
  76. Sat Aug 26 15:36:03 2023 removing 5398489 relations and 3398489 ideals in 2000000 cliques
  77. Sat Aug 26 15:36:05 2023 commencing in-memory singleton removal
  78. Sat Aug 26 15:36:08 2023 begin with 33489599 relations and 30767305 unique ideals
  79. Sat Aug 26 15:36:25 2023 reduce to 33074077 relations and 26935390 ideals in 7 passes
  80. Sat Aug 26 15:36:25 2023 max relations containing the same ideal: 120
  81. Sat Aug 26 15:36:41 2023 removing 5336827 relations and 3336827 ideals in 2000000 cliques
  82. Sat Aug 26 15:36:43 2023 commencing in-memory singleton removal
  83. Sat Aug 26 15:36:45 2023 begin with 27737250 relations and 26935390 unique ideals
  84. Sat Aug 26 15:36:58 2023 reduce to 27281258 relations and 23120056 ideals in 7 passes
  85. Sat Aug 26 15:36:58 2023 max relations containing the same ideal: 107
  86. Sat Aug 26 15:37:11 2023 removing 5276732 relations and 3276732 ideals in 2000000 cliques
  87. Sat Aug 26 15:37:13 2023 commencing in-memory singleton removal
  88. Sat Aug 26 15:37:15 2023 begin with 22004526 relations and 23120056 unique ideals
  89. Sat Aug 26 15:37:27 2023 reduce to 21476564 relations and 19284113 ideals in 8 passes
  90. Sat Aug 26 15:37:27 2023 max relations containing the same ideal: 89
  91. Sat Aug 26 15:37:37 2023 removing 4585760 relations and 2866415 ideals in 1719345 cliques
  92. Sat Aug 26 15:37:38 2023 commencing in-memory singleton removal
  93. Sat Aug 26 15:37:39 2023 begin with 16890804 relations and 19284113 unique ideals
  94. Sat Aug 26 15:37:47 2023 reduce to 16340526 relations and 15830548 ideals in 7 passes
  95. Sat Aug 26 15:37:47 2023 max relations containing the same ideal: 74
  96. Sat Aug 26 15:37:55 2023 removing 194205 relations and 157333 ideals in 36872 cliques
  97. Sat Aug 26 15:37:56 2023 commencing in-memory singleton removal
  98. Sat Aug 26 15:37:57 2023 begin with 16146321 relations and 15830548 unique ideals
  99. Sat Aug 26 15:38:02 2023 reduce to 16144251 relations and 15671138 ideals in 5 passes
  100. Sat Aug 26 15:38:02 2023 max relations containing the same ideal: 74
  101. Sat Aug 26 15:38:06 2023 relations with 0 large ideals: 14652
  102. Sat Aug 26 15:38:06 2023 relations with 1 large ideals: 7750
  103. Sat Aug 26 15:38:06 2023 relations with 2 large ideals: 79852
  104. Sat Aug 26 15:38:06 2023 relations with 3 large ideals: 508955
  105. Sat Aug 26 15:38:06 2023 relations with 4 large ideals: 1733449
  106. Sat Aug 26 15:38:06 2023 relations with 5 large ideals: 3470875
  107. Sat Aug 26 15:38:06 2023 relations with 6 large ideals: 4318750
  108. Sat Aug 26 15:38:06 2023 relations with 7+ large ideals: 6009968
  109. Sat Aug 26 15:38:06 2023 commencing 2-way merge
  110. Sat Aug 26 15:38:15 2023 reduce to 11368923 relation sets and 10895810 unique ideals
  111. Sat Aug 26 15:38:15 2023 commencing full merge
  112. Sat Aug 26 15:41:52 2023 memory use: 1383.3 MB
  113. Sat Aug 26 15:41:54 2023 found 5578644 cycles, need 5518010
  114. Sat Aug 26 15:41:56 2023 weight of 5518010 cycles is about 496975899 (90.06/cycle)
  115. Sat Aug 26 15:41:56 2023 distribution of cycle lengths:
  116. Sat Aug 26 15:41:56 2023 1 relations: 259277
  117. Sat Aug 26 15:41:56 2023 2 relations: 435163
  118. Sat Aug 26 15:41:56 2023 3 relations: 540890
  119. Sat Aug 26 15:41:56 2023 4 relations: 575751
  120. Sat Aug 26 15:41:56 2023 5 relations: 582269
  121. Sat Aug 26 15:41:56 2023 6 relations: 552922
  122. Sat Aug 26 15:41:56 2023 7 relations: 502853
  123. Sat Aug 26 15:41:56 2023 8 relations: 435421
  124. Sat Aug 26 15:41:56 2023 9 relations: 365145
  125. Sat Aug 26 15:41:56 2023 10+ relations: 1268319
  126. Sat Aug 26 15:41:56 2023 heaviest cycle: 24 relations
  127. Sat Aug 26 15:41:57 2023 commencing cycle optimization
  128. Sat Aug 26 15:42:06 2023 start with 37685946 relations
  129. Sat Aug 26 15:43:14 2023 pruned 1610531 relations
  130. Sat Aug 26 15:43:15 2023 memory use: 1066.7 MB
  131. Sat Aug 26 15:43:15 2023 distribution of cycle lengths:
  132. Sat Aug 26 15:43:15 2023 1 relations: 259277
  133. Sat Aug 26 15:43:15 2023 2 relations: 447276
  134. Sat Aug 26 15:43:15 2023 3 relations: 567159
  135. Sat Aug 26 15:43:15 2023 4 relations: 602735
  136. Sat Aug 26 15:43:15 2023 5 relations: 614322
  137. Sat Aug 26 15:43:15 2023 6 relations: 578923
  138. Sat Aug 26 15:43:15 2023 7 relations: 524375
  139. Sat Aug 26 15:43:15 2023 8 relations: 446291
  140. Sat Aug 26 15:43:15 2023 9 relations: 367053
  141. Sat Aug 26 15:43:15 2023 10+ relations: 1110599
  142. Sat Aug 26 15:43:15 2023 heaviest cycle: 23 relations
  143. Sat Aug 26 15:43:26 2023 RelProcTime: 3124
  144. Sat Aug 26 15:43:26 2023 elapsed time 00:52:05
  145. Sat Aug 26 15:50:12 2023
  146. Sat Aug 26 15:50:12 2023
  147. Sat Aug 26 15:50:12 2023 Msieve v. 1.54 (SVN Unversioned directory)
  148. Sat Aug 26 15:50:12 2023 random seeds: f9f83b08 b554e852
  149. Sat Aug 26 15:50:12 2023 factoring 2564199655223575115463201825691622457148176169867814274410408096869700918915604009612211421982284273868382953087180667447715119503112848566915021326567153632567339916990985062343661095714770227313287220699015692228139 (217 digits)
  150. Sat Aug 26 15:50:12 2023 no P-1/P+1/ECM available, skipping
  151. Sat Aug 26 15:50:12 2023 commencing number field sieve (217-digit input)
  152. Sat Aug 26 15:50:12 2023 R0: 4798023594801772159922339452235713249
  153. Sat Aug 26 15:50:12 2023 R1: -1
  154. Sat Aug 26 15:50:12 2023 A0: -1
  155. Sat Aug 26 15:50:12 2023 A1: 0
  156. Sat Aug 26 15:50:12 2023 A2: 0
  157. Sat Aug 26 15:50:12 2023 A3: 0
  158. Sat Aug 26 15:50:12 2023 A4: 0
  159. Sat Aug 26 15:50:12 2023 A5: 0
  160. Sat Aug 26 15:50:12 2023 A6: 4657
  161. Sat Aug 26 15:50:12 2023 skew 0.31, size 2.578e-11, alpha 1.127, combined = 1.287e-12 rroots = 2
  162. Sat Aug 26 15:50:12 2023
  163. Sat Aug 26 15:50:12 2023 commencing linear algebra
  164. Sat Aug 26 15:50:12 2023 using VBITS=512
  165. Sat Aug 26 15:50:13 2023 read 5518010 cycles
  166. Sat Aug 26 15:50:23 2023 cycles contain 15928219 unique relations
  167. Sat Aug 26 15:51:52 2023 read 15928219 relations
  168. Sat Aug 26 15:52:19 2023 using 20 quadratic characters above 4294917295
  169. Sat Aug 26 15:53:28 2023 building initial matrix
  170. Sat Aug 26 15:56:32 2023 memory use: 2077.3 MB
  171. Sat Aug 26 15:56:34 2023 read 5518010 cycles
  172. Sat Aug 26 15:56:35 2023 matrix is 5517833 x 5518010 (2015.3 MB) with weight 583616002 (105.77/col)
  173. Sat Aug 26 15:56:35 2023 sparse part has weight 473123951 (85.74/col)
  174. Sat Aug 26 15:57:31 2023 filtering completed in 2 passes
  175. Sat Aug 26 15:57:32 2023 matrix is 5517348 x 5517505 (2015.3 MB) with weight 583599947 (105.77/col)
  176. Sat Aug 26 15:57:32 2023 sparse part has weight 473117894 (85.75/col)
  177. Sat Aug 26 15:57:44 2023 matrix starts at (0, 0)
  178. Sat Aug 26 15:57:45 2023 matrix is 5517348 x 5517505 (2015.3 MB) with weight 583599947 (105.77/col)
  179. Sat Aug 26 15:57:45 2023 sparse part has weight 473117894 (85.75/col)
  180. Sat Aug 26 15:57:45 2023 saving the first 496 matrix rows for later
  181. Sat Aug 26 15:57:46 2023 matrix includes 512 packed rows
  182. Sat Aug 26 15:57:50 2023 matrix is 5516852 x 5517505 (1943.2 MB) with weight 400146968 (72.52/col)
  183. Sat Aug 26 15:57:50 2023 sparse part has weight 376965054 (68.32/col)
  184. Sat Aug 26 15:57:50 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  185. Sat Aug 26 15:57:50 2023 selected card has CUDA arch 8.6
  186. Sat Aug 26 15:58:20 2023 commencing Lanczos iteration
  187. Sat Aug 26 15:58:21 2023 memory use: 5654.3 MB
  188. Sat Aug 26 15:58:39 2023 linear algebra at 0.3%, ETA 1h41m
  189. Sat Aug 26 15:58:40 2023 checkpointing every 3180000 dimensions
  190. Sat Aug 26 17:42:31 2023 lanczos halted after 10792 iterations (dim = 5516851)
  191. Sat Aug 26 17:44:39 2023 recovered 33 nontrivial dependencies
  192. Sat Aug 26 17:44:40 2023 BLanczosTime: 6868
  193. Sat Aug 26 17:44:40 2023
  194. Sat Aug 26 17:44:40 2023 commencing square root phase
  195. Sat Aug 26 17:44:40 2023 handling dependencies 1 to 64
  196. Sat Aug 26 17:44:40 2023 reading relations for dependency 1
  197. Sat Aug 26 17:44:41 2023 read 2760431 cycles
  198. Sat Aug 26 17:44:48 2023 cycles contain 7965424 unique relations
  199. Sat Aug 26 17:46:05 2023 read 7965424 relations
  200. Sat Aug 26 17:46:56 2023 multiplying 7965424 relations
  201. Sat Aug 26 17:55:28 2023 multiply complete, coefficients have about 283.64 million bits
  202. Sat Aug 26 17:55:29 2023 initial square root is modulo 122887
  203. Sat Aug 26 18:04:44 2023 GCD is 1, no factor found
  204. Sat Aug 26 18:04:44 2023 reading relations for dependency 2
  205. Sat Aug 26 18:04:45 2023 read 2758364 cycles
  206. Sat Aug 26 18:04:50 2023 cycles contain 7958424 unique relations
  207. Sat Aug 26 18:05:57 2023 read 7958424 relations
  208. Sat Aug 26 18:06:48 2023 multiplying 7958424 relations
  209. Sat Aug 26 18:15:05 2023 multiply complete, coefficients have about 283.39 million bits
  210. Sat Aug 26 18:15:06 2023 initial square root is modulo 121711
  211. Sat Aug 26 18:25:27 2023 GCD is 1, no factor found
  212. Sat Aug 26 18:25:27 2023 reading relations for dependency 3
  213. Sat Aug 26 18:25:28 2023 read 2760106 cycles
  214. Sat Aug 26 18:25:33 2023 cycles contain 7965158 unique relations
  215. Sat Aug 26 18:26:37 2023 read 7965158 relations
  216. Sat Aug 26 18:27:27 2023 multiplying 7965158 relations
  217. Sat Aug 26 18:35:19 2023 multiply complete, coefficients have about 283.63 million bits
  218. Sat Aug 26 18:35:20 2023 initial square root is modulo 122833
  219. Sat Aug 26 18:44:41 2023 GCD is N, no factor found
  220. Sat Aug 26 18:44:41 2023 reading relations for dependency 4
  221. Sat Aug 26 18:44:42 2023 read 2760306 cycles
  222. Sat Aug 26 18:44:47 2023 cycles contain 7965452 unique relations
  223. Sat Aug 26 18:45:59 2023 read 7965452 relations
  224. Sat Aug 26 18:46:55 2023 multiplying 7965452 relations
  225. Sat Aug 26 18:55:34 2023 multiply complete, coefficients have about 283.64 million bits
  226. Sat Aug 26 18:55:35 2023 initial square root is modulo 122887
  227. Sat Aug 26 19:05:44 2023 GCD is 1, no factor found
  228. Sat Aug 26 19:05:44 2023 reading relations for dependency 5
  229. Sat Aug 26 19:05:45 2023 read 2758362 cycles
  230. Sat Aug 26 19:05:50 2023 cycles contain 7959250 unique relations
  231. Sat Aug 26 19:06:56 2023 read 7959250 relations
  232. Sat Aug 26 19:07:45 2023 multiplying 7959250 relations
  233. Sat Aug 26 19:15:41 2023 multiply complete, coefficients have about 283.42 million bits
  234. Sat Aug 26 19:15:42 2023 initial square root is modulo 121789
  235. Sat Aug 26 19:25:04 2023 GCD is 1, no factor found
  236. Sat Aug 26 19:25:04 2023 reading relations for dependency 6
  237. Sat Aug 26 19:25:05 2023 read 2758910 cycles
  238. Sat Aug 26 19:25:11 2023 cycles contain 7963554 unique relations
  239. Sat Aug 26 19:26:18 2023 read 7963554 relations
  240. Sat Aug 26 19:27:08 2023 multiplying 7963554 relations
  241. Sat Aug 26 19:36:09 2023 multiply complete, coefficients have about 283.57 million bits
  242. Sat Aug 26 19:36:10 2023 initial square root is modulo 122527
  243. Sat Aug 26 19:45:52 2023 GCD is N, no factor found
  244. Sat Aug 26 19:45:52 2023 reading relations for dependency 7
  245. Sat Aug 26 19:45:53 2023 read 2758982 cycles
  246. Sat Aug 26 19:45:57 2023 cycles contain 7964706 unique relations
  247. Sat Aug 26 19:46:58 2023 read 7964706 relations
  248. Sat Aug 26 19:47:46 2023 multiplying 7964706 relations
  249. Sat Aug 26 19:55:32 2023 multiply complete, coefficients have about 283.61 million bits
  250. Sat Aug 26 19:55:33 2023 initial square root is modulo 122833
  251. Sat Aug 26 20:05:09 2023 GCD is N, no factor found
  252. Sat Aug 26 20:05:09 2023 reading relations for dependency 8
  253. Sat Aug 26 20:05:11 2023 read 2757056 cycles
  254. Sat Aug 26 20:05:17 2023 cycles contain 7959366 unique relations
  255. Sat Aug 26 20:06:25 2023 read 7959366 relations
  256. Sat Aug 26 20:07:15 2023 multiplying 7959366 relations
  257. Sat Aug 26 20:16:08 2023 multiply complete, coefficients have about 283.42 million bits
  258. Sat Aug 26 20:16:09 2023 initial square root is modulo 121921
  259. Sat Aug 26 20:25:34 2023 sqrtTime: 9654
  260. Sat Aug 26 20:25:34 2023 p86 factor: 42369014391290661686392530450700315128945355913312025283735224828845646534883519751809
  261. Sat Aug 26 20:25:34 2023 p131 factor: 60520634998549076483117776744476424490098040297010323766814847736595475228044412902756080532198511037688005162295613148782670323371
  262. Sat Aug 26 20:25:34 2023 elapsed time 04:35:22
  263.  
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