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Oct 24th, 2024
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  1. Wed Oct 23 00:18:33 2024
  2. Wed Oct 23 00:18:33 2024
  3. Wed Oct 23 00:18:33 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Oct 23 00:18:33 2024 random seeds: 13efab3c 0331cc1f
  5. Wed Oct 23 00:18:33 2024 MPI process 0 of 1
  6. Wed Oct 23 00:18:33 2024 Using 32 OpenMP threads
  7. Wed Oct 23 00:18:33 2024 factoring 12207500520832143441564959456883833733184793926832657032409016737097501923046459521514982985481859599925243961115272433545376286200675329095349865473342552159204487053 (167 digits)
  8. Wed Oct 23 00:18:33 2024 searching for 15-digit factors
  9. Wed Oct 23 00:18:34 2024 commencing number field sieve (167-digit input)
  10. Wed Oct 23 00:18:34 2024 R0: -153186197627194910132358540362035
  11. Wed Oct 23 00:18:34 2024 R1: 350639129691996881
  12. Wed Oct 23 00:18:34 2024 A0: -406258317121529873203884515509663123071552
  13. Wed Oct 23 00:18:34 2024 A1: 285762562622648101361989973388223488
  14. Wed Oct 23 00:18:34 2024 A2: -4584037784156614027363378834
  15. Wed Oct 23 00:18:34 2024 A3: -751545929691003768953
  16. Wed Oct 23 00:18:34 2024 A4: 2358759631506
  17. Wed Oct 23 00:18:34 2024 A5: 144720
  18. Wed Oct 23 00:18:34 2024 skew 35395741.83, size 3.120e-16, alpha -8.297, combined = 5.636e-13 rroots = 5
  19. Wed Oct 23 00:18:34 2024
  20. Wed Oct 23 00:18:34 2024 commencing relation filtering
  21. Wed Oct 23 00:18:34 2024 setting target matrix density to 130.0
  22. Wed Oct 23 00:18:34 2024 estimated available RAM is 257736.5 MB
  23. Wed Oct 23 00:18:34 2024 commencing duplicate removal, pass 1
  24. Wed Oct 23 00:27:22 2024 error -1 reading relation 234905963
  25. Wed Oct 23 00:27:22 2024 error -1 reading relation 235000374
  26. Wed Oct 23 00:27:55 2024 error -1 reading relation 255293874
  27. Wed Oct 23 00:27:56 2024 error -1 reading relation 255807336
  28. Wed Oct 23 00:27:56 2024 error -1 reading relation 256061313
  29. Wed Oct 23 00:29:29 2024 error -1 reading relation 297713327
  30. Wed Oct 23 00:29:30 2024 skipped 48 malformed relations
  31. Wed Oct 23 00:29:30 2024 found 61788168 hash collisions in 298056480 relations
  32. Wed Oct 23 00:30:00 2024 commencing duplicate removal, pass 2
  33. Wed Oct 23 00:36:34 2024 found 65644132 duplicates and 232412348 unique relations
  34. Wed Oct 23 00:36:34 2024 memory use: 1705.5 MB
  35. Wed Oct 23 00:36:34 2024 reading ideals above 720000
  36. Wed Oct 23 00:36:34 2024 commencing singleton removal, initial pass
  37. Wed Oct 23 00:58:57 2024 memory use: 6024.0 MB
  38. Wed Oct 23 00:58:58 2024 reading all ideals from disk
  39. Wed Oct 23 00:59:03 2024 memory use: 10683.0 MB
  40. Wed Oct 23 00:59:36 2024 keeping 226448447 ideals with weight <= 200, target excess is 1136504
  41. Wed Oct 23 01:00:10 2024 commencing in-memory singleton removal
  42. Wed Oct 23 01:00:14 2024 begin with 232412348 relations and 226448447 unique ideals
  43. Wed Oct 23 01:00:32 2024 reduce to 123923706 relations and 104230289 ideals in 16 passes
  44. Wed Oct 23 01:00:32 2024 max relations containing the same ideal: 141
  45. Wed Oct 23 01:01:29 2024 removing 12382936 relations and 10382936 ideals in 2000000 cliques
  46. Wed Oct 23 01:01:34 2024 commencing in-memory singleton removal
  47. Wed Oct 23 01:01:36 2024 begin with 111540770 relations and 104230289 unique ideals
  48. Wed Oct 23 01:01:46 2024 reduce to 110584537 relations and 92871099 ideals in 10 passes
  49. Wed Oct 23 01:01:46 2024 max relations containing the same ideal: 133
  50. Wed Oct 23 01:02:37 2024 removing 9445836 relations and 7445836 ideals in 2000000 cliques
  51. Wed Oct 23 01:02:41 2024 commencing in-memory singleton removal
  52. Wed Oct 23 01:02:43 2024 begin with 101138701 relations and 92871099 unique ideals
  53. Wed Oct 23 01:02:50 2024 reduce to 100485441 relations and 84759905 ideals in 9 passes
  54. Wed Oct 23 01:02:50 2024 max relations containing the same ideal: 122
  55. Wed Oct 23 01:03:38 2024 removing 8569648 relations and 6569648 ideals in 2000000 cliques
  56. Wed Oct 23 01:03:42 2024 commencing in-memory singleton removal
  57. Wed Oct 23 01:03:43 2024 begin with 91915793 relations and 84759905 unique ideals
  58. Wed Oct 23 01:03:49 2024 reduce to 91316528 relations and 77579392 ideals in 8 passes
  59. Wed Oct 23 01:03:49 2024 max relations containing the same ideal: 114
  60. Wed Oct 23 01:04:29 2024 removing 8146547 relations and 6146547 ideals in 2000000 cliques
  61. Wed Oct 23 01:04:32 2024 commencing in-memory singleton removal
  62. Wed Oct 23 01:04:34 2024 begin with 83169981 relations and 77579392 unique ideals
  63. Wed Oct 23 01:04:39 2024 reduce to 82578000 relations and 70828960 ideals in 8 passes
  64. Wed Oct 23 01:04:39 2024 max relations containing the same ideal: 105
  65. Wed Oct 23 01:05:14 2024 removing 7907819 relations and 5907819 ideals in 2000000 cliques
  66. Wed Oct 23 01:05:17 2024 commencing in-memory singleton removal
  67. Wed Oct 23 01:05:19 2024 begin with 74670181 relations and 70828960 unique ideals
  68. Wed Oct 23 01:05:23 2024 reduce to 74058591 relations and 64296046 ideals in 9 passes
  69. Wed Oct 23 01:05:23 2024 max relations containing the same ideal: 100
  70. Wed Oct 23 01:05:57 2024 removing 7777256 relations and 5777256 ideals in 2000000 cliques
  71. Wed Oct 23 01:05:59 2024 commencing in-memory singleton removal
  72. Wed Oct 23 01:06:01 2024 begin with 66281335 relations and 64296046 unique ideals
  73. Wed Oct 23 01:06:05 2024 reduce to 65621542 relations and 57842947 ideals in 8 passes
  74. Wed Oct 23 01:06:05 2024 max relations containing the same ideal: 91
  75. Wed Oct 23 01:06:34 2024 removing 7731597 relations and 5731597 ideals in 2000000 cliques
  76. Wed Oct 23 01:06:37 2024 commencing in-memory singleton removal
  77. Wed Oct 23 01:06:38 2024 begin with 57889945 relations and 57842947 unique ideals
  78. Wed Oct 23 01:06:41 2024 reduce to 57148889 relations and 51350383 ideals in 8 passes
  79. Wed Oct 23 01:06:41 2024 max relations containing the same ideal: 81
  80. Wed Oct 23 01:07:03 2024 removing 7758665 relations and 5758665 ideals in 2000000 cliques
  81. Wed Oct 23 01:07:06 2024 commencing in-memory singleton removal
  82. Wed Oct 23 01:07:06 2024 begin with 49390224 relations and 51350383 unique ideals
  83. Wed Oct 23 01:07:09 2024 reduce to 48523555 relations and 44698558 ideals in 9 passes
  84. Wed Oct 23 01:07:09 2024 max relations containing the same ideal: 74
  85. Wed Oct 23 01:07:28 2024 removing 7859972 relations and 5859972 ideals in 2000000 cliques
  86. Wed Oct 23 01:07:31 2024 commencing in-memory singleton removal
  87. Wed Oct 23 01:07:32 2024 begin with 40663583 relations and 44698558 unique ideals
  88. Wed Oct 23 01:07:34 2024 reduce to 39587334 relations and 37723376 ideals in 10 passes
  89. Wed Oct 23 01:07:34 2024 max relations containing the same ideal: 67
  90. Wed Oct 23 01:07:53 2024 removing 2986286 relations and 2440673 ideals in 545613 cliques
  91. Wed Oct 23 01:07:55 2024 commencing in-memory singleton removal
  92. Wed Oct 23 01:07:55 2024 begin with 36601048 relations and 37723376 unique ideals
  93. Wed Oct 23 01:07:57 2024 reduce to 36431931 relations and 35111521 ideals in 8 passes
  94. Wed Oct 23 01:07:57 2024 max relations containing the same ideal: 62
  95. Wed Oct 23 01:08:18 2024 relations with 0 large ideals: 3983
  96. Wed Oct 23 01:08:18 2024 relations with 1 large ideals: 40108
  97. Wed Oct 23 01:08:18 2024 relations with 2 large ideals: 492740
  98. Wed Oct 23 01:08:18 2024 relations with 3 large ideals: 2499200
  99. Wed Oct 23 01:08:18 2024 relations with 4 large ideals: 6644286
  100. Wed Oct 23 01:08:18 2024 relations with 5 large ideals: 10188067
  101. Wed Oct 23 01:08:18 2024 relations with 6 large ideals: 9396365
  102. Wed Oct 23 01:08:18 2024 relations with 7+ large ideals: 7167182
  103. Wed Oct 23 01:08:18 2024 commencing 2-way merge
  104. Wed Oct 23 01:08:42 2024 reduce to 21719635 relation sets and 20399225 unique ideals
  105. Wed Oct 23 01:08:43 2024 commencing full merge
  106. Wed Oct 23 01:17:33 2024 memory use: 2423.8 MB
  107. Wed Oct 23 01:17:36 2024 found 9163883 cycles, need 9149425
  108. Wed Oct 23 01:17:40 2024 weight of 9149425 cycles is about 1189758113 (130.04/cycle)
  109. Wed Oct 23 01:17:40 2024 distribution of cycle lengths:
  110. Wed Oct 23 01:17:40 2024 1 relations: 574117
  111. Wed Oct 23 01:17:40 2024 2 relations: 579574
  112. Wed Oct 23 01:17:40 2024 3 relations: 586508
  113. Wed Oct 23 01:17:40 2024 4 relations: 576906
  114. Wed Oct 23 01:17:40 2024 5 relations: 575729
  115. Wed Oct 23 01:17:40 2024 6 relations: 565375
  116. Wed Oct 23 01:17:40 2024 7 relations: 556937
  117. Wed Oct 23 01:17:40 2024 8 relations: 539360
  118. Wed Oct 23 01:17:40 2024 9 relations: 515847
  119. Wed Oct 23 01:17:40 2024 10+ relations: 4079072
  120. Wed Oct 23 01:17:40 2024 heaviest cycle: 28 relations
  121. Wed Oct 23 01:17:44 2024 commencing cycle optimization
  122. Wed Oct 23 01:18:10 2024 start with 87356918 relations
  123. Wed Oct 23 01:22:06 2024 pruned 3631592 relations
  124. Wed Oct 23 01:22:07 2024 memory use: 2364.2 MB
  125. Wed Oct 23 01:22:07 2024 distribution of cycle lengths:
  126. Wed Oct 23 01:22:07 2024 1 relations: 574117
  127. Wed Oct 23 01:22:07 2024 2 relations: 593699
  128. Wed Oct 23 01:22:07 2024 3 relations: 608998
  129. Wed Oct 23 01:22:07 2024 4 relations: 598071
  130. Wed Oct 23 01:22:07 2024 5 relations: 600171
  131. Wed Oct 23 01:22:07 2024 6 relations: 588578
  132. Wed Oct 23 01:22:07 2024 7 relations: 582303
  133. Wed Oct 23 01:22:07 2024 8 relations: 561844
  134. Wed Oct 23 01:22:07 2024 9 relations: 538937
  135. Wed Oct 23 01:22:07 2024 10+ relations: 3902707
  136. Wed Oct 23 01:22:07 2024 heaviest cycle: 28 relations
  137. Wed Oct 23 01:22:31 2024 RelProcTime: 3837
  138. Wed Oct 23 01:22:32 2024 elapsed time 01:03:59
  139. Wed Oct 23 01:23:25 2024
  140. Wed Oct 23 01:23:25 2024
  141. Wed Oct 23 01:23:25 2024 Msieve v. 1.54 (SVN Unversioned directory)
  142. Wed Oct 23 01:23:25 2024 random seeds: 9427dc4f 53efa5df
  143. Wed Oct 23 01:23:25 2024 MPI process 0 of 1
  144. Wed Oct 23 01:23:25 2024 Using 32 OpenMP threads
  145. Wed Oct 23 01:23:25 2024 factoring 12207500520832143441564959456883833733184793926832657032409016737097501923046459521514982985481859599925243961115272433545376286200675329095349865473342552159204487053 (167 digits)
  146. Wed Oct 23 01:23:25 2024 searching for 15-digit factors
  147. Wed Oct 23 01:23:26 2024 commencing number field sieve (167-digit input)
  148. Wed Oct 23 01:23:26 2024 R0: -153186197627194910132358540362035
  149. Wed Oct 23 01:23:26 2024 R1: 350639129691996881
  150. Wed Oct 23 01:23:26 2024 A0: -406258317121529873203884515509663123071552
  151. Wed Oct 23 01:23:26 2024 A1: 285762562622648101361989973388223488
  152. Wed Oct 23 01:23:26 2024 A2: -4584037784156614027363378834
  153. Wed Oct 23 01:23:26 2024 A3: -751545929691003768953
  154. Wed Oct 23 01:23:26 2024 A4: 2358759631506
  155. Wed Oct 23 01:23:26 2024 A5: 144720
  156. Wed Oct 23 01:23:26 2024 skew 35395741.83, size 3.120e-16, alpha -8.297, combined = 5.636e-13 rroots = 5
  157. Wed Oct 23 01:23:26 2024
  158. Wed Oct 23 01:23:26 2024 commencing linear algebra
  159. Wed Oct 23 01:23:26 2024 using VBITS=256
  160. Wed Oct 23 01:23:26 2024 stopping after matrix build
  161. Wed Oct 23 01:23:26 2024 initialized process (0,0) of 1 x 1 grid
  162. Wed Oct 23 01:23:27 2024 read 9149425 cycles
  163. Wed Oct 23 01:23:50 2024 cycles contain 35504115 unique relations
  164. Wed Oct 23 01:28:15 2024 read 35504115 relations
  165. Wed Oct 23 01:28:19 2024 using 20 quadratic characters above 4294917295
  166. Wed Oct 23 01:28:25 2024 building initial matrix
  167. Wed Oct 23 01:35:56 2024 memory use: 4812.2 MB
  168. Wed Oct 23 01:36:04 2024 read 9149425 cycles
  169. Wed Oct 23 01:36:06 2024 matrix is 9149247 x 9149425 (4632.3 MB) with weight 1428042905 (156.08/col)
  170. Wed Oct 23 01:36:06 2024 sparse part has weight 1104530747 (120.72/col)
  171. Wed Oct 23 01:38:09 2024 filtering completed in 2 passes
  172. Wed Oct 23 01:38:12 2024 matrix is 9149024 x 9149201 (4632.3 MB) with weight 1428031187 (156.08/col)
  173. Wed Oct 23 01:38:12 2024 sparse part has weight 1104527765 (120.72/col)
  174. Wed Oct 23 01:39:09 2024 BLanczosTime: 943
  175. Wed Oct 23 01:39:09 2024 elapsed time 00:15:44
  176. Wed Oct 23 03:18:59 2024
  177. Wed Oct 23 03:18:59 2024
  178. Wed Oct 23 03:18:59 2024 Msieve v. 1.54 (SVN Unversioned directory)
  179. Wed Oct 23 03:18:59 2024 random seeds: aeabf276 6080e722
  180. Wed Oct 23 03:18:59 2024 MPI process 0 of 1
  181. Wed Oct 23 03:18:59 2024 Using 64 OpenMP threads
  182. Wed Oct 23 03:18:59 2024 factoring 12207500520832143441564959456883833733184793926832657032409016737097501923046459521514982985481859599925243961115272433545376286200675329095349865473342552159204487053 (167 digits)
  183. Wed Oct 23 03:18:59 2024 searching for 15-digit factors
  184. Wed Oct 23 03:19:00 2024 commencing number field sieve (167-digit input)
  185. Wed Oct 23 03:19:00 2024 R0: -153186197627194910132358540362035
  186. Wed Oct 23 03:19:00 2024 R1: 350639129691996881
  187. Wed Oct 23 03:19:00 2024 A0: -406258317121529873203884515509663123071552
  188. Wed Oct 23 03:19:00 2024 A1: 285762562622648101361989973388223488
  189. Wed Oct 23 03:19:00 2024 A2: -4584037784156614027363378834
  190. Wed Oct 23 03:19:00 2024 A3: -751545929691003768953
  191. Wed Oct 23 03:19:00 2024 A4: 2358759631506
  192. Wed Oct 23 03:19:00 2024 A5: 144720
  193. Wed Oct 23 03:19:00 2024 skew 35395741.83, size 3.120e-16, alpha -8.297, combined = 5.636e-13 rroots = 5
  194. Wed Oct 23 03:19:00 2024
  195. Wed Oct 23 03:19:00 2024 commencing linear algebra
  196. Wed Oct 23 03:19:00 2024 using VBITS=256
  197. Wed Oct 23 03:19:00 2024 skipping matrix build
  198. Wed Oct 23 03:19:00 2024 initialized process (0,0) of 1 x 1 grid
  199. Wed Oct 23 03:19:04 2024 matrix starts at (0, 0)
  200. Wed Oct 23 03:19:06 2024 matrix is 9149024 x 9149201 (4632.3 MB) with weight 1428031187 (156.08/col)
  201. Wed Oct 23 03:19:06 2024 sparse part has weight 1104527765 (120.72/col)
  202. Wed Oct 23 03:19:06 2024 saving the first 240 matrix rows for later
  203. Wed Oct 23 03:19:09 2024 matrix includes 256 packed rows
  204. Wed Oct 23 03:19:11 2024 matrix is 9148784 x 9149201 (4154.8 MB) with weight 1008146313 (110.19/col)
  205. Wed Oct 23 03:19:11 2024 sparse part has weight 942766916 (103.04/col)
  206. Wed Oct 23 03:19:11 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  207. Wed Oct 23 03:19:32 2024 commencing Lanczos iteration (64 threads)
  208. Wed Oct 23 03:19:32 2024 memory use: 5870.0 MB
  209. Wed Oct 23 03:20:58 2024 linear algebra at 0.3%, ETA 6h56m
  210. Wed Oct 23 03:23:07 2024 checking every 20000 dimensions, checkpointing every 1300000 dimensions
  211. Wed Oct 23 09:55:11 2024 lanczos halted after 35846 iterations (dim = 9148784)
  212. Wed Oct 23 09:55:43 2024 recovered 30 nontrivial dependencies
  213. Wed Oct 23 09:55:43 2024 BLanczosTime: 23803
  214. Wed Oct 23 09:55:43 2024 elapsed time 06:36:44
  215. Wed Oct 23 11:18:43 2024
  216. Wed Oct 23 11:18:43 2024
  217. Wed Oct 23 11:18:43 2024 Msieve v. 1.54 (SVN Unversioned directory)
  218. Wed Oct 23 11:18:43 2024 random seeds: ee983b2c a089e7c5
  219. Wed Oct 23 11:18:43 2024 MPI process 0 of 1
  220. Wed Oct 23 11:18:43 2024 Using 64 OpenMP threads
  221. Wed Oct 23 11:18:43 2024 factoring 12207500520832143441564959456883833733184793926832657032409016737097501923046459521514982985481859599925243961115272433545376286200675329095349865473342552159204487053 (167 digits)
  222. Wed Oct 23 11:18:44 2024 searching for 15-digit factors
  223. Wed Oct 23 11:18:44 2024 commencing number field sieve (167-digit input)
  224. Wed Oct 23 11:18:44 2024 R0: -153186197627194910132358540362035
  225. Wed Oct 23 11:18:44 2024 R1: 350639129691996881
  226. Wed Oct 23 11:18:44 2024 A0: -406258317121529873203884515509663123071552
  227. Wed Oct 23 11:18:44 2024 A1: 285762562622648101361989973388223488
  228. Wed Oct 23 11:18:44 2024 A2: -4584037784156614027363378834
  229. Wed Oct 23 11:18:44 2024 A3: -751545929691003768953
  230. Wed Oct 23 11:18:44 2024 A4: 2358759631506
  231. Wed Oct 23 11:18:44 2024 A5: 144720
  232. Wed Oct 23 11:18:44 2024 skew 35395741.83, size 3.120e-16, alpha -8.297, combined = 5.636e-13 rroots = 5
  233. Wed Oct 23 11:18:44 2024
  234. Wed Oct 23 11:18:44 2024 commencing square root phase
  235. Wed Oct 23 11:18:44 2024 reading relations for dependency 1
  236. Wed Oct 23 11:18:45 2024 read 4575059 cycles
  237. Wed Oct 23 11:18:53 2024 cycles contain 17755104 unique relations
  238. Wed Oct 23 11:22:56 2024 read 17755104 relations
  239. Wed Oct 23 11:24:26 2024 multiplying 17755104 relations
  240. Wed Oct 23 11:27:06 2024 multiply complete, coefficients have about 968.92 million bits
  241. Wed Oct 23 11:27:09 2024 initial square root is modulo 492787277
  242. Wed Oct 23 11:35:16 2024 GCD is 1, no factor found
  243. Wed Oct 23 11:35:16 2024 reading relations for dependency 2
  244. Wed Oct 23 11:35:17 2024 read 4576800 cycles
  245. Wed Oct 23 11:35:25 2024 cycles contain 17758498 unique relations
  246. Wed Oct 23 11:39:09 2024 read 17758498 relations
  247. Wed Oct 23 11:40:11 2024 multiplying 17758498 relations
  248. Wed Oct 23 11:41:45 2024 multiply complete, coefficients have about 969.10 million bits
  249. Wed Oct 23 11:41:48 2024 initial square root is modulo 494648659
  250. Wed Oct 23 11:46:56 2024 sqrtTime: 1692
  251. Wed Oct 23 11:46:56 2024 p50 factor: 12534056053164465637721097902198123976624243271213
  252. Wed Oct 23 11:46:56 2024 p117 factor: 973946539655862084951073381935771946453683014363888190283574623216107056024515054996413676605921579013762072209107681
  253. Wed Oct 23 11:46:56 2024 elapsed time 00:28:13
  254.  
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