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gchilders

11p4_256

Dec 21st, 2022
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  1. Tue Dec 20 12:45:04 2022
  2. Tue Dec 20 12:45:04 2022
  3. Tue Dec 20 12:45:04 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 20 12:45:04 2022 random seeds: 136f0024 f8b0743e
  5. Tue Dec 20 12:45:04 2022 MPI process 0 of 1
  6. Tue Dec 20 12:45:04 2022 Using 32 OpenMP threads
  7. Tue Dec 20 12:45:04 2022 factoring 394936615902244988822066218344320628460652487144138401354154541639206514835887577947157440033582172569726508179364930955239226824374853865198706973022153447233425938138632126584686104462379083144556656005967810064921620956479147019296541514409844272037930676780870657 (267 digits)
  8. Tue Dec 20 12:45:05 2022 no P-1/P+1/ECM available, skipping
  9. Tue Dec 20 12:45:05 2022 commencing number field sieve (267-digit input)
  10. Tue Dec 20 12:45:05 2022 R0: 129129938167664848157333145589394151932880352885953011
  11. Tue Dec 20 12:45:05 2022 R1: -5070602400912917605986812821504
  12. Tue Dec 20 12:45:05 2022 A0: 4
  13. Tue Dec 20 12:45:05 2022 A1: 0
  14. Tue Dec 20 12:45:05 2022 A2: 0
  15. Tue Dec 20 12:45:05 2022 A3: 0
  16. Tue Dec 20 12:45:05 2022 A4: 0
  17. Tue Dec 20 12:45:05 2022 A5: 11
  18. Tue Dec 20 12:45:05 2022 skew 0.82, size 4.085e-18, alpha 0.199, combined = 2.378e-14 rroots = 1
  19. Tue Dec 20 12:45:05 2022
  20. Tue Dec 20 12:45:05 2022 commencing relation filtering
  21. Tue Dec 20 12:45:05 2022 setting target matrix density to 110.0
  22. Tue Dec 20 12:45:05 2022 estimated available RAM is 257753.8 MB
  23. Tue Dec 20 12:45:05 2022 commencing duplicate removal, pass 1
  24. Tue Dec 20 12:46:17 2022 error -1 reading relation 51918148
  25. Tue Dec 20 12:47:56 2022 error -11 reading relation 123316400
  26. Tue Dec 20 12:52:49 2022 skipped 6546 relations with b > 2^32
  27. Tue Dec 20 12:52:49 2022 skipped 307 malformed relations
  28. Tue Dec 20 12:52:49 2022 found 23597906 hash collisions in 334952309 relations
  29. Tue Dec 20 12:53:19 2022 added 731709 free relations
  30. Tue Dec 20 12:53:19 2022 commencing duplicate removal, pass 2
  31. Tue Dec 20 12:54:43 2022 found 1 duplicates and 335684017 unique relations
  32. Tue Dec 20 12:54:43 2022 memory use: 1257.5 MB
  33. Tue Dec 20 12:54:43 2022 reading ideals above 720000
  34. Tue Dec 20 12:54:43 2022 commencing singleton removal, initial pass
  35. Tue Dec 20 13:14:31 2022 memory use: 11024.0 MB
  36. Tue Dec 20 13:14:32 2022 reading all ideals from disk
  37. Tue Dec 20 13:14:49 2022 memory use: 16784.5 MB
  38. Tue Dec 20 13:15:42 2022 keeping 332014824 ideals with weight <= 200, target excess is 1725141
  39. Tue Dec 20 13:16:45 2022 commencing in-memory singleton removal
  40. Tue Dec 20 13:16:58 2022 begin with 335684017 relations and 332014824 unique ideals
  41. Tue Dec 20 13:18:01 2022 reduce to 195353343 relations and 175433011 ideals in 18 passes
  42. Tue Dec 20 13:18:01 2022 max relations containing the same ideal: 151
  43. Tue Dec 20 13:19:24 2022 removing 15618166 relations and 13618166 ideals in 2000000 cliques
  44. Tue Dec 20 13:19:32 2022 commencing in-memory singleton removal
  45. Tue Dec 20 13:19:39 2022 begin with 179735177 relations and 175433011 unique ideals
  46. Tue Dec 20 13:20:07 2022 reduce to 178654076 relations and 160718088 ideals in 10 passes
  47. Tue Dec 20 13:20:07 2022 max relations containing the same ideal: 142
  48. Tue Dec 20 13:21:21 2022 removing 11761760 relations and 9761760 ideals in 2000000 cliques
  49. Tue Dec 20 13:21:28 2022 commencing in-memory singleton removal
  50. Tue Dec 20 13:21:34 2022 begin with 166892316 relations and 160718088 unique ideals
  51. Tue Dec 20 13:21:57 2022 reduce to 166202683 relations and 150258106 ideals in 9 passes
  52. Tue Dec 20 13:21:57 2022 max relations containing the same ideal: 135
  53. Tue Dec 20 13:23:05 2022 removing 10592239 relations and 8592239 ideals in 2000000 cliques
  54. Tue Dec 20 13:23:12 2022 commencing in-memory singleton removal
  55. Tue Dec 20 13:23:17 2022 begin with 155610444 relations and 150258106 unique ideals
  56. Tue Dec 20 13:23:39 2022 reduce to 155007721 relations and 141056022 ideals in 9 passes
  57. Tue Dec 20 13:23:39 2022 max relations containing the same ideal: 130
  58. Tue Dec 20 13:24:41 2022 removing 9986728 relations and 7986728 ideals in 2000000 cliques
  59. Tue Dec 20 13:24:47 2022 commencing in-memory singleton removal
  60. Tue Dec 20 13:24:53 2022 begin with 145020993 relations and 141056022 unique ideals
  61. Tue Dec 20 13:25:12 2022 reduce to 144444878 relations and 132486159 ideals in 9 passes
  62. Tue Dec 20 13:25:12 2022 max relations containing the same ideal: 124
  63. Tue Dec 20 13:26:10 2022 removing 9629017 relations and 7629017 ideals in 2000000 cliques
  64. Tue Dec 20 13:26:16 2022 commencing in-memory singleton removal
  65. Tue Dec 20 13:26:21 2022 begin with 134815861 relations and 132486159 unique ideals
  66. Tue Dec 20 13:26:41 2022 reduce to 134245187 relations and 124278976 ideals in 10 passes
  67. Tue Dec 20 13:26:41 2022 max relations containing the same ideal: 115
  68. Tue Dec 20 13:27:35 2022 removing 9412568 relations and 7412568 ideals in 2000000 cliques
  69. Tue Dec 20 13:27:41 2022 commencing in-memory singleton removal
  70. Tue Dec 20 13:27:46 2022 begin with 124832619 relations and 124278976 unique ideals
  71. Tue Dec 20 13:28:01 2022 reduce to 124244792 relations and 116270710 ideals in 8 passes
  72. Tue Dec 20 13:28:01 2022 max relations containing the same ideal: 112
  73. Tue Dec 20 13:28:51 2022 removing 9290502 relations and 7290502 ideals in 2000000 cliques
  74. Tue Dec 20 13:28:56 2022 commencing in-memory singleton removal
  75. Tue Dec 20 13:29:01 2022 begin with 114954290 relations and 116270710 unique ideals
  76. Tue Dec 20 13:29:17 2022 reduce to 114333999 relations and 108350978 ideals in 10 passes
  77. Tue Dec 20 13:29:17 2022 max relations containing the same ideal: 105
  78. Tue Dec 20 13:30:04 2022 removing 9242613 relations and 7242613 ideals in 2000000 cliques
  79. Tue Dec 20 13:30:09 2022 commencing in-memory singleton removal
  80. Tue Dec 20 13:30:13 2022 begin with 105091386 relations and 108350978 unique ideals
  81. Tue Dec 20 13:30:28 2022 reduce to 104424590 relations and 100431048 ideals in 10 passes
  82. Tue Dec 20 13:30:28 2022 max relations containing the same ideal: 99
  83. Tue Dec 20 13:31:11 2022 removing 9237106 relations and 7244728 ideals in 1992378 cliques
  84. Tue Dec 20 13:31:16 2022 commencing in-memory singleton removal
  85. Tue Dec 20 13:31:19 2022 begin with 95187484 relations and 100431048 unique ideals
  86. Tue Dec 20 13:31:31 2022 reduce to 94449395 relations and 92435929 ideals in 9 passes
  87. Tue Dec 20 13:31:31 2022 max relations containing the same ideal: 93
  88. Tue Dec 20 13:32:10 2022 removing 129006 relations and 116704 ideals in 12302 cliques
  89. Tue Dec 20 13:32:13 2022 commencing in-memory singleton removal
  90. Tue Dec 20 13:32:17 2022 begin with 94320389 relations and 92435929 unique ideals
  91. Tue Dec 20 13:32:24 2022 reduce to 94320228 relations and 92319064 ideals in 5 passes
  92. Tue Dec 20 13:32:24 2022 max relations containing the same ideal: 93
  93. Tue Dec 20 13:32:39 2022 relations with 0 large ideals: 32956
  94. Tue Dec 20 13:32:39 2022 relations with 1 large ideals: 25621
  95. Tue Dec 20 13:32:39 2022 relations with 2 large ideals: 373640
  96. Tue Dec 20 13:32:39 2022 relations with 3 large ideals: 2434268
  97. Tue Dec 20 13:32:39 2022 relations with 4 large ideals: 8732901
  98. Tue Dec 20 13:32:39 2022 relations with 5 large ideals: 18914576
  99. Tue Dec 20 13:32:39 2022 relations with 6 large ideals: 26180306
  100. Tue Dec 20 13:32:39 2022 relations with 7+ large ideals: 37625960
  101. Tue Dec 20 13:32:39 2022 commencing 2-way merge
  102. Tue Dec 20 13:33:33 2022 reduce to 58729010 relation sets and 56727846 unique ideals
  103. Tue Dec 20 13:33:33 2022 commencing full merge
  104. Tue Dec 20 13:54:28 2022 memory use: 6776.8 MB
  105. Tue Dec 20 13:54:33 2022 found 26588382 cycles, need 26448046
  106. Tue Dec 20 13:54:42 2022 weight of 26448046 cycles is about 2909352496 (110.00/cycle)
  107. Tue Dec 20 13:54:42 2022 distribution of cycle lengths:
  108. Tue Dec 20 13:54:42 2022 1 relations: 2467405
  109. Tue Dec 20 13:54:42 2022 2 relations: 2227077
  110. Tue Dec 20 13:54:42 2022 3 relations: 2189586
  111. Tue Dec 20 13:54:42 2022 4 relations: 2095833
  112. Tue Dec 20 13:54:42 2022 5 relations: 2021852
  113. Tue Dec 20 13:54:42 2022 6 relations: 1883338
  114. Tue Dec 20 13:54:42 2022 7 relations: 1782999
  115. Tue Dec 20 13:54:42 2022 8 relations: 1645697
  116. Tue Dec 20 13:54:42 2022 9 relations: 1498635
  117. Tue Dec 20 13:54:42 2022 10+ relations: 8635624
  118. Tue Dec 20 13:54:42 2022 heaviest cycle: 28 relations
  119. Tue Dec 20 13:54:52 2022 commencing cycle optimization
  120. Tue Dec 20 13:55:44 2022 start with 204705191 relations
  121. Tue Dec 20 14:03:04 2022 pruned 7260251 relations
  122. Tue Dec 20 14:03:05 2022 memory use: 5934.7 MB
  123. Tue Dec 20 14:03:05 2022 distribution of cycle lengths:
  124. Tue Dec 20 14:03:05 2022 1 relations: 2467405
  125. Tue Dec 20 14:03:05 2022 2 relations: 2283622
  126. Tue Dec 20 14:03:05 2022 3 relations: 2277989
  127. Tue Dec 20 14:03:05 2022 4 relations: 2168953
  128. Tue Dec 20 14:03:05 2022 5 relations: 2098760
  129. Tue Dec 20 14:03:05 2022 6 relations: 1946758
  130. Tue Dec 20 14:03:05 2022 7 relations: 1840172
  131. Tue Dec 20 14:03:05 2022 8 relations: 1687326
  132. Tue Dec 20 14:03:05 2022 9 relations: 1531919
  133. Tue Dec 20 14:03:05 2022 10+ relations: 8145142
  134. Tue Dec 20 14:03:05 2022 heaviest cycle: 28 relations
  135. Tue Dec 20 14:03:55 2022 RelProcTime: 4730
  136. Tue Dec 20 14:03:55 2022 elapsed time 01:18:51
  137. Tue Dec 20 14:04:07 2022
  138. Tue Dec 20 14:04:07 2022
  139. Tue Dec 20 14:04:07 2022 Msieve v. 1.54 (SVN Unversioned directory)
  140. Tue Dec 20 14:04:07 2022 random seeds: cb810745 301c77a4
  141. Tue Dec 20 14:04:07 2022 MPI process 0 of 1
  142. Tue Dec 20 14:04:07 2022 Using 32 OpenMP threads
  143. Tue Dec 20 14:04:07 2022 factoring 394936615902244988822066218344320628460652487144138401354154541639206514835887577947157440033582172569726508179364930955239226824374853865198706973022153447233425938138632126584686104462379083144556656005967810064921620956479147019296541514409844272037930676780870657 (267 digits)
  144. Tue Dec 20 14:04:08 2022 no P-1/P+1/ECM available, skipping
  145. Tue Dec 20 14:04:08 2022 commencing number field sieve (267-digit input)
  146. Tue Dec 20 14:04:08 2022 R0: 129129938167664848157333145589394151932880352885953011
  147. Tue Dec 20 14:04:08 2022 R1: -5070602400912917605986812821504
  148. Tue Dec 20 14:04:08 2022 A0: 4
  149. Tue Dec 20 14:04:08 2022 A1: 0
  150. Tue Dec 20 14:04:08 2022 A2: 0
  151. Tue Dec 20 14:04:08 2022 A3: 0
  152. Tue Dec 20 14:04:08 2022 A4: 0
  153. Tue Dec 20 14:04:08 2022 A5: 11
  154. Tue Dec 20 14:04:08 2022 skew 0.82, size 4.085e-18, alpha 0.199, combined = 2.378e-14 rroots = 1
  155. Tue Dec 20 14:04:08 2022
  156. Tue Dec 20 14:04:08 2022 commencing linear algebra
  157. Tue Dec 20 14:04:08 2022 using VBITS=128
  158. Tue Dec 20 14:04:08 2022 stopping after matrix build
  159. Tue Dec 20 14:04:08 2022 initialized process (0,0) of 1 x 1 grid
  160. Tue Dec 20 14:04:12 2022 read 26448046 cycles
  161. Tue Dec 20 14:05:07 2022 cycles contain 92814629 unique relations
  162. Tue Dec 20 14:07:04 2022 read 92814629 relations
  163. Tue Dec 20 14:07:21 2022 using 20 quadratic characters above 4294917295
  164. Tue Dec 20 14:07:56 2022 building initial matrix
  165. Tue Dec 20 14:26:06 2022 memory use: 11807.2 MB
  166. Tue Dec 20 14:26:40 2022 read 26448046 cycles
  167. Tue Dec 20 14:26:45 2022 matrix is 26447867 x 26448046 (11591.1 MB) with weight 3334465906 (126.08/col)
  168. Tue Dec 20 14:26:45 2022 sparse part has weight 2747619510 (103.89/col)
  169. Tue Dec 20 14:37:15 2022 filtering completed in 2 passes
  170. Tue Dec 20 14:37:21 2022 matrix is 26443349 x 26443527 (11590.7 MB) with weight 3334299630 (126.09/col)
  171. Tue Dec 20 14:37:21 2022 sparse part has weight 2747559079 (103.90/col)
  172. Tue Dec 20 14:38:55 2022 BLanczosTime: 2087
  173. Tue Dec 20 14:38:55 2022 elapsed time 00:34:48
  174. Tue Dec 20 17:50:48 2022
  175. Tue Dec 20 17:50:48 2022
  176. Tue Dec 20 17:50:48 2022 Msieve v. 1.54 (SVN unknown)
  177. Tue Dec 20 17:50:48 2022 random seeds: 6b246ade c2291e4f
  178. Tue Dec 20 17:50:48 2022 MPI process 0 of 4
  179. Tue Dec 20 17:50:48 2022 Using 16 OpenMP threads
  180. Tue Dec 20 17:50:48 2022 factoring 394936615902244988822066218344320628460652487144138401354154541639206514835887577947157440033582172569726508179364930955239226824374853865198706973022153447233425938138632126584686104462379083144556656005967810064921620956479147019296541514409844272037930676780870657 (267 digits)
  181. Tue Dec 20 17:50:49 2022 no P-1/P+1/ECM available, skipping
  182. Tue Dec 20 17:50:49 2022 commencing number field sieve (267-digit input)
  183. Tue Dec 20 17:50:49 2022 R0: 129129938167664848157333145589394151932880352885953011
  184. Tue Dec 20 17:50:49 2022 R1: -5070602400912917605986812821504
  185. Tue Dec 20 17:50:49 2022 A0: 4
  186. Tue Dec 20 17:50:49 2022 A1: 0
  187. Tue Dec 20 17:50:49 2022 A2: 0
  188. Tue Dec 20 17:50:49 2022 A3: 0
  189. Tue Dec 20 17:50:49 2022 A4: 0
  190. Tue Dec 20 17:50:49 2022 A5: 11
  191. Tue Dec 20 17:50:49 2022 skew 0.82, size 4.085e-18, alpha 0.199, combined = 2.378e-14 rroots = 1
  192. Tue Dec 20 17:50:49 2022
  193. Tue Dec 20 17:50:49 2022 commencing linear algebra
  194. Tue Dec 20 17:50:49 2022 using VBITS=256
  195. Tue Dec 20 17:50:49 2022 skipping matrix build
  196. Tue Dec 20 17:50:49 2022 initialized process (0,0) of 2 x 2 grid
  197. Tue Dec 20 17:51:01 2022 matrix starts at (0, 0)
  198. Tue Dec 20 17:51:02 2022 matrix is 13221795 x 13221816 (3405.3 MB) with weight 1040606559 (78.70/col)
  199. Tue Dec 20 17:51:02 2022 sparse part has weight 747228989 (56.51/col)
  200. Tue Dec 20 17:51:02 2022 saving the first 240 matrix rows for later
  201. Tue Dec 20 17:51:04 2022 matrix includes 256 packed rows
  202. Tue Dec 20 17:51:07 2022 matrix is 13221555 x 13221816 (3009.5 MB) with weight 627138805 (47.43/col)
  203. Tue Dec 20 17:51:07 2022 sparse part has weight 577379779 (43.67/col)
  204. Tue Dec 20 17:51:07 2022 using GPU 0 (NVIDIA A100-SXM4-40GB)
  205. Tue Dec 20 17:51:07 2022 selected card has CUDA arch 8.0
  206. Tue Dec 20 17:51:34 2022 commencing Lanczos iteration
  207. Tue Dec 20 17:51:34 2022 memory use: 6926.9 MB
  208. Tue Dec 20 17:51:49 2022 linear algebra at 0.1%, ETA 3h21m
  209. Tue Dec 20 17:52:10 2022 checking every 130000 dimensions, checkpointing every 7930000 dimensions
  210. Tue Dec 20 21:16:03 2022 lanczos halted after 103605 iterations (dim = 26443107)
  211. Tue Dec 20 21:17:42 2022 recovered 36 nontrivial dependencies
  212. Tue Dec 20 21:17:42 2022 BLanczosTime: 12413
  213. Tue Dec 20 21:17:42 2022 elapsed time 03:26:54
  214. Tue Dec 20 22:36:04 2022
  215. Tue Dec 20 22:36:04 2022
  216. Tue Dec 20 22:36:04 2022 Msieve v. 1.54 (SVN Unversioned directory)
  217. Tue Dec 20 22:36:04 2022 random seeds: c8876844 a4b8a530
  218. Tue Dec 20 22:36:04 2022 MPI process 0 of 1
  219. Tue Dec 20 22:36:04 2022 Using 32 OpenMP threads
  220. Tue Dec 20 22:36:04 2022 factoring 394936615902244988822066218344320628460652487144138401354154541639206514835887577947157440033582172569726508179364930955239226824374853865198706973022153447233425938138632126584686104462379083144556656005967810064921620956479147019296541514409844272037930676780870657 (267 digits)
  221. Tue Dec 20 22:36:06 2022 no P-1/P+1/ECM available, skipping
  222. Tue Dec 20 22:36:06 2022 commencing number field sieve (267-digit input)
  223. Tue Dec 20 22:36:06 2022 R0: 129129938167664848157333145589394151932880352885953011
  224. Tue Dec 20 22:36:06 2022 R1: -5070602400912917605986812821504
  225. Tue Dec 20 22:36:06 2022 A0: 4
  226. Tue Dec 20 22:36:06 2022 A1: 0
  227. Tue Dec 20 22:36:06 2022 A2: 0
  228. Tue Dec 20 22:36:06 2022 A3: 0
  229. Tue Dec 20 22:36:06 2022 A4: 0
  230. Tue Dec 20 22:36:06 2022 A5: 11
  231. Tue Dec 20 22:36:06 2022 skew 0.82, size 4.085e-18, alpha 0.199, combined = 2.378e-14 rroots = 1
  232. Tue Dec 20 22:36:06 2022
  233. Tue Dec 20 22:36:06 2022 commencing square root phase
  234. Tue Dec 20 22:36:06 2022 reading relations for dependency 1
  235. Tue Dec 20 22:36:10 2022 read 13224401 cycles
  236. Tue Dec 20 22:36:35 2022 cycles contain 46402364 unique relations
  237. Tue Dec 20 22:37:35 2022 read 46402364 relations
  238. Tue Dec 20 22:41:09 2022 multiplying 46402364 relations
  239. Tue Dec 20 22:46:59 2022 multiply complete, coefficients have about 1387.99 million bits
  240. Tue Dec 20 22:47:03 2022 initial square root is modulo 1683251
  241. Tue Dec 20 22:57:31 2022 GCD is N, no factor found
  242. Tue Dec 20 22:57:31 2022 reading relations for dependency 2
  243. Tue Dec 20 22:57:34 2022 read 13222391 cycles
  244. Tue Dec 20 22:58:00 2022 cycles contain 46407750 unique relations
  245. Tue Dec 20 22:58:58 2022 read 46407750 relations
  246. Tue Dec 20 23:02:40 2022 multiplying 46407750 relations
  247. Tue Dec 20 23:08:29 2022 multiply complete, coefficients have about 1388.14 million bits
  248. Tue Dec 20 23:08:33 2022 initial square root is modulo 1685861
  249. Tue Dec 20 23:19:18 2022 GCD is 1, no factor found
  250. Tue Dec 20 23:19:18 2022 reading relations for dependency 3
  251. Tue Dec 20 23:19:21 2022 read 13222286 cycles
  252. Tue Dec 20 23:19:47 2022 cycles contain 46412642 unique relations
  253. Tue Dec 20 23:20:45 2022 read 46412642 relations
  254. Tue Dec 20 23:24:27 2022 multiplying 46412642 relations
  255. Tue Dec 20 23:30:19 2022 multiply complete, coefficients have about 1388.29 million bits
  256. Tue Dec 20 23:30:22 2022 initial square root is modulo 1688651
  257. Tue Dec 20 23:41:05 2022 sqrtTime: 3899
  258. Tue Dec 20 23:41:05 2022 p68 factor: 82561889920784579171525932352880814400827599915143358905207969814529
  259. Tue Dec 20 23:41:05 2022 p199 factor: 4783521989154726184626069220059363866825474324140931030628490618433862266491009408388867790634718518010180865540776273852527923090786753636634885512123448266246773704164699227117479829480498470392833
  260. Tue Dec 20 23:41:05 2022 elapsed time 01:05:01
  261.  
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