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May 26th, 2024
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  1. Tue May 21 11:35:23 2024
  2. Tue May 21 11:35:23 2024
  3. Tue May 21 11:35:23 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue May 21 11:35:23 2024 random seeds: 4e5f5d8f f1c75666
  5. Tue May 21 11:35:23 2024 Using 64 OpenMP threads
  6. Tue May 21 11:35:23 2024 factoring 19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (275 digits)
  7. Tue May 21 11:35:26 2024 searching for 15-digit factors
  8. Tue May 21 11:35:27 2024 commencing number field sieve (275-digit input)
  9. Tue May 21 11:35:27 2024 R0: -10000000000000000000000000000000000000000000000
  10. Tue May 21 11:35:27 2024 R1: 1
  11. Tue May 21 11:35:27 2024 A0: -150
  12. Tue May 21 11:35:27 2024 A1: 0
  13. Tue May 21 11:35:27 2024 A2: 0
  14. Tue May 21 11:35:27 2024 A3: 0
  15. Tue May 21 11:35:27 2024 A4: 0
  16. Tue May 21 11:35:27 2024 A5: 0
  17. Tue May 21 11:35:27 2024 A6: 1
  18. Tue May 21 11:35:27 2024 skew 1.00, size 1.219e-13, alpha 1.248, combined = 2.211e-14 rroots = 2
  19. Tue May 21 11:35:27 2024
  20. Tue May 21 11:35:27 2024 commencing relation filtering
  21. Tue May 21 11:35:27 2024 setting target matrix density to 110.0
  22. Tue May 21 11:35:27 2024 estimated available RAM is 515996.3 MB
  23. Tue May 21 11:35:27 2024 commencing duplicate removal, pass 1
  24. Tue May 21 11:35:55 2024 error -1 reading relation 19463444
  25. Tue May 21 11:36:12 2024 error -1 reading relation 33119892
  26. Tue May 21 11:36:28 2024 error -1 reading relation 46232467
  27. Tue May 21 11:36:33 2024 error -1 reading relation 49845234
  28. Tue May 21 11:36:38 2024 error -1 reading relation 53921026
  29. Tue May 21 11:37:00 2024 error -1 reading relation 71096830
  30. Tue May 21 11:37:02 2024 error -1 reading relation 72518556
  31. Tue May 21 11:37:12 2024 error -1 reading relation 80622077
  32. Tue May 21 11:37:13 2024 error -1 reading relation 80997585
  33. Tue May 21 11:37:24 2024 error -1 reading relation 90563814
  34. Tue May 21 11:37:26 2024 error -5 reading relation 91911139
  35. Tue May 21 11:37:26 2024 error -5 reading relation 91911390
  36. Tue May 21 11:37:26 2024 error -5 reading relation 91911893
  37. Tue May 21 11:37:26 2024 error -5 reading relation 91928115
  38. Tue May 21 11:37:26 2024 error -11 reading relation 91935758
  39. Tue May 21 11:37:26 2024 error -11 reading relation 92078985
  40. Tue May 21 11:37:26 2024 error -11 reading relation 92178595
  41. Tue May 21 11:37:26 2024 error -11 reading relation 92186243
  42. Tue May 21 11:37:26 2024 error -11 reading relation 92457610
  43. Tue May 21 11:37:26 2024 error -5 reading relation 92458326
  44. Tue May 21 11:37:26 2024 error -11 reading relation 92473231
  45. Tue May 21 11:37:30 2024 error -1 reading relation 95643398
  46. Tue May 21 11:37:32 2024 error -1 reading relation 97130553
  47. Tue May 21 11:37:35 2024 error -1 reading relation 99847531
  48. Tue May 21 11:37:39 2024 error -1 reading relation 103363416
  49. Tue May 21 11:37:48 2024 error -1 reading relation 110999194
  50. Tue May 21 11:38:12 2024 error -1 reading relation 132623335
  51. Tue May 21 11:38:16 2024 error -11 reading relation 136114890
  52. Tue May 21 11:38:17 2024 error -5 reading relation 137413038
  53. Tue May 21 11:38:17 2024 error -11 reading relation 137415490
  54. Tue May 21 11:38:17 2024 error -11 reading relation 137442006
  55. Tue May 21 11:38:19 2024 error -1 reading relation 138824465
  56. Tue May 21 11:38:30 2024 error -5 reading relation 149576713
  57. Tue May 21 11:38:30 2024 error -1 reading relation 149577931
  58. Tue May 21 11:38:32 2024 error -15 reading relation 151089901
  59. Tue May 21 11:38:35 2024 error -1 reading relation 153919390
  60. Tue May 21 11:38:36 2024 error -1 reading relation 155287103
  61. Tue May 21 11:38:38 2024 error -1 reading relation 157172860
  62. Tue May 21 11:38:43 2024 error -5 reading relation 161214037
  63. Tue May 21 11:38:51 2024 error -1 reading relation 168688849
  64. Tue May 21 11:38:52 2024 error -1 reading relation 169371721
  65. Tue May 21 11:39:03 2024 error -1 reading relation 179881870
  66. Tue May 21 11:39:03 2024 error -5 reading relation 179887236
  67. Tue May 21 11:39:03 2024 error -1 reading relation 179897376
  68. Tue May 21 11:39:03 2024 error -1 reading relation 179914513
  69. Tue May 21 11:39:03 2024 error -5 reading relation 179922048
  70. Tue May 21 11:39:03 2024 error -5 reading relation 179939120
  71. Tue May 21 11:39:03 2024 error -1 reading relation 179962124
  72. Tue May 21 11:39:06 2024 error -1 reading relation 182319761
  73. Tue May 21 11:39:06 2024 error -1 reading relation 183021052
  74. Tue May 21 11:39:12 2024 error -1 reading relation 187982419
  75. Tue May 21 11:39:15 2024 error -15 reading relation 191100009
  76. Tue May 21 11:39:19 2024 error -1 reading relation 194403911
  77. Tue May 21 11:39:19 2024 error -1 reading relation 195025008
  78. Tue May 21 11:39:22 2024 error -1 reading relation 197269027
  79. Tue May 21 11:39:33 2024 error -1 reading relation 207379695
  80. Tue May 21 11:39:35 2024 error -15 reading relation 209754896
  81. Tue May 21 11:39:35 2024 error -6 reading relation 209758382
  82. Tue May 21 11:39:36 2024 error -5 reading relation 209949255
  83. Tue May 21 11:39:36 2024 error -5 reading relation 209967034
  84. Tue May 21 11:39:50 2024 error -1 reading relation 223602520
  85. Tue May 21 11:39:51 2024 error -1 reading relation 223690151
  86. Tue May 21 11:39:59 2024 error -1 reading relation 232002686
  87. Tue May 21 11:39:59 2024 error -1 reading relation 232351083
  88. Tue May 21 11:40:07 2024 error -5 reading relation 239489257
  89. Tue May 21 11:40:13 2024 error -1 reading relation 245265217
  90. Tue May 21 11:40:34 2024 error -1 reading relation 264460167
  91. Tue May 21 11:40:34 2024 error -1 reading relation 264577453
  92. Tue May 21 11:41:02 2024 error -1 reading relation 290254134
  93. Tue May 21 11:41:24 2024 error -1 reading relation 310851109
  94. Tue May 21 11:41:37 2024 error -1 reading relation 323623910
  95. Tue May 21 11:41:37 2024 error -5 reading relation 323624778
  96. Tue May 21 11:41:37 2024 error -5 reading relation 323636738
  97. Tue May 21 11:41:37 2024 error -11 reading relation 323704551
  98. Tue May 21 11:42:10 2024 error -1 reading relation 351565775
  99. Tue May 21 11:42:31 2024 error -1 reading relation 370592264
  100. Tue May 21 11:42:31 2024 error -1 reading relation 370622485
  101. Tue May 21 11:42:31 2024 error -1 reading relation 370641707
  102. Tue May 21 11:42:34 2024 error -1 reading relation 373857947
  103. Tue May 21 11:42:36 2024 error -1 reading relation 374860032
  104. Tue May 21 11:42:36 2024 error -1 reading relation 374889433
  105. Tue May 21 11:42:36 2024 error -1 reading relation 375267224
  106. Tue May 21 11:44:05 2024 skipped 646 relations with b > 2^32
  107. Tue May 21 11:44:05 2024 skipped 2 relations with composite factors
  108. Tue May 21 11:44:05 2024 skipped 696 malformed relations
  109. Tue May 21 11:44:05 2024 found 116703674 hash collisions in 453801341 relations
  110. Tue May 21 11:44:13 2024 commencing duplicate removal, pass 2
  111. Tue May 21 11:47:23 2024 found 137751802 duplicates and 316049539 unique relations
  112. Tue May 21 11:47:23 2024 memory use: 2899.0 MB
  113. Tue May 21 11:47:23 2024 reading ideals above 720000
  114. Tue May 21 11:47:23 2024 commencing singleton removal, initial pass
  115. Tue May 21 12:02:22 2024 memory use: 11024.0 MB
  116. Tue May 21 12:02:22 2024 reading all ideals from disk
  117. Tue May 21 12:02:28 2024 memory use: 15858.2 MB
  118. Tue May 21 12:03:13 2024 keeping 328302886 ideals with weight <= 200, target excess is 1662977
  119. Tue May 21 12:04:09 2024 commencing in-memory singleton removal
  120. Tue May 21 12:04:15 2024 begin with 316049539 relations and 328302886 unique ideals
  121. Tue May 21 12:04:47 2024 reduce to 161693735 relations and 153851116 ideals in 22 passes
  122. Tue May 21 12:04:47 2024 max relations containing the same ideal: 138
  123. Tue May 21 12:05:55 2024 removing 11155863 relations and 10155863 ideals in 1000000 cliques
  124. Tue May 21 12:06:02 2024 commencing in-memory singleton removal
  125. Tue May 21 12:06:05 2024 begin with 150537872 relations and 153851116 unique ideals
  126. Tue May 21 12:06:18 2024 reduce to 149809860 relations and 142960074 ideals in 11 passes
  127. Tue May 21 12:06:18 2024 max relations containing the same ideal: 129
  128. Tue May 21 12:07:21 2024 removing 8224807 relations and 7224807 ideals in 1000000 cliques
  129. Tue May 21 12:07:26 2024 commencing in-memory singleton removal
  130. Tue May 21 12:07:29 2024 begin with 141585053 relations and 142960074 unique ideals
  131. Tue May 21 12:07:39 2024 reduce to 141152475 relations and 135299282 ideals in 10 passes
  132. Tue May 21 12:07:39 2024 max relations containing the same ideal: 125
  133. Tue May 21 12:08:36 2024 removing 7303238 relations and 6303238 ideals in 1000000 cliques
  134. Tue May 21 12:08:42 2024 commencing in-memory singleton removal
  135. Tue May 21 12:08:44 2024 begin with 133849237 relations and 135299282 unique ideals
  136. Tue May 21 12:08:54 2024 reduce to 133487357 relations and 128631408 ideals in 10 passes
  137. Tue May 21 12:08:54 2024 max relations containing the same ideal: 118
  138. Tue May 21 12:09:51 2024 removing 6813363 relations and 5813363 ideals in 1000000 cliques
  139. Tue May 21 12:09:55 2024 commencing in-memory singleton removal
  140. Tue May 21 12:09:57 2024 begin with 126673994 relations and 128631408 unique ideals
  141. Tue May 21 12:10:06 2024 reduce to 126343341 relations and 122484771 ideals in 9 passes
  142. Tue May 21 12:10:06 2024 max relations containing the same ideal: 115
  143. Tue May 21 12:10:59 2024 removing 6501786 relations and 5501786 ideals in 1000000 cliques
  144. Tue May 21 12:11:04 2024 commencing in-memory singleton removal
  145. Tue May 21 12:11:06 2024 begin with 119841555 relations and 122484771 unique ideals
  146. Tue May 21 12:11:14 2024 reduce to 119523889 relations and 116662817 ideals in 9 passes
  147. Tue May 21 12:11:14 2024 max relations containing the same ideal: 110
  148. Tue May 21 12:12:03 2024 removing 5928303 relations and 4996285 ideals in 932018 cliques
  149. Tue May 21 12:12:07 2024 commencing in-memory singleton removal
  150. Tue May 21 12:12:09 2024 begin with 113595586 relations and 116662817 unique ideals
  151. Tue May 21 12:12:18 2024 reduce to 113320189 relations and 111389070 ideals in 10 passes
  152. Tue May 21 12:12:18 2024 max relations containing the same ideal: 105
  153. Tue May 21 12:13:30 2024 relations with 0 large ideals: 63446
  154. Tue May 21 12:13:30 2024 relations with 1 large ideals: 28191
  155. Tue May 21 12:13:30 2024 relations with 2 large ideals: 369164
  156. Tue May 21 12:13:30 2024 relations with 3 large ideals: 2466007
  157. Tue May 21 12:13:30 2024 relations with 4 large ideals: 9179135
  158. Tue May 21 12:13:30 2024 relations with 5 large ideals: 20786001
  159. Tue May 21 12:13:30 2024 relations with 6 large ideals: 29722858
  160. Tue May 21 12:13:30 2024 relations with 7+ large ideals: 50705387
  161. Tue May 21 12:13:30 2024 commencing 2-way merge
  162. Tue May 21 12:14:47 2024 reduce to 69076881 relation sets and 67145762 unique ideals
  163. Tue May 21 12:14:47 2024 commencing full merge
  164. Tue May 21 12:40:05 2024 memory use: 8167.6 MB
  165. Tue May 21 12:40:11 2024 found 31247626 cycles, need 31225962
  166. Tue May 21 12:40:24 2024 weight of 31225962 cycles is about 3435061203 (110.01/cycle)
  167. Tue May 21 12:40:24 2024 distribution of cycle lengths:
  168. Tue May 21 12:40:24 2024 1 relations: 3176751
  169. Tue May 21 12:40:24 2024 2 relations: 2911063
  170. Tue May 21 12:40:24 2024 3 relations: 2812557
  171. Tue May 21 12:40:24 2024 4 relations: 2577742
  172. Tue May 21 12:40:24 2024 5 relations: 2392071
  173. Tue May 21 12:40:24 2024 6 relations: 2133881
  174. Tue May 21 12:40:24 2024 7 relations: 1950990
  175. Tue May 21 12:40:24 2024 8 relations: 1730838
  176. Tue May 21 12:40:24 2024 9 relations: 1542131
  177. Tue May 21 12:40:24 2024 10+ relations: 9997938
  178. Tue May 21 12:40:24 2024 heaviest cycle: 28 relations
  179. Tue May 21 12:40:30 2024 commencing cycle optimization
  180. Tue May 21 12:41:40 2024 start with 242542812 relations
  181. Tue May 21 12:50:46 2024 pruned 7660018 relations
  182. Tue May 21 12:50:47 2024 memory use: 7091.8 MB
  183. Tue May 21 12:50:47 2024 distribution of cycle lengths:
  184. Tue May 21 12:50:47 2024 1 relations: 3176751
  185. Tue May 21 12:50:47 2024 2 relations: 2979547
  186. Tue May 21 12:50:47 2024 3 relations: 2920168
  187. Tue May 21 12:50:47 2024 4 relations: 2656444
  188. Tue May 21 12:50:47 2024 5 relations: 2469041
  189. Tue May 21 12:50:47 2024 6 relations: 2186521
  190. Tue May 21 12:50:47 2024 7 relations: 1993054
  191. Tue May 21 12:50:47 2024 8 relations: 1755095
  192. Tue May 21 12:50:47 2024 9 relations: 1561202
  193. Tue May 21 12:50:47 2024 10+ relations: 9528139
  194. Tue May 21 12:50:47 2024 heaviest cycle: 28 relations
  195. Tue May 21 12:51:45 2024 RelProcTime: 4578
  196. Tue May 21 12:51:45 2024 elapsed time 01:16:22
  197. Tue May 21 13:34:26 2024
  198. Tue May 21 13:34:26 2024
  199. Tue May 21 13:34:26 2024 Msieve v. 1.54 (SVN Unversioned directory)
  200. Tue May 21 13:34:26 2024 random seeds: 4dd5ffc3 b33ef599
  201. Tue May 21 13:34:26 2024 Using 64 OpenMP threads
  202. Tue May 21 13:34:26 2024 factoring 19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (275 digits)
  203. Tue May 21 13:34:29 2024 searching for 15-digit factors
  204. Tue May 21 13:34:30 2024 commencing number field sieve (275-digit input)
  205. Tue May 21 13:34:30 2024 R0: -10000000000000000000000000000000000000000000000
  206. Tue May 21 13:34:30 2024 R1: 1
  207. Tue May 21 13:34:30 2024 A0: -150
  208. Tue May 21 13:34:30 2024 A1: 0
  209. Tue May 21 13:34:30 2024 A2: 0
  210. Tue May 21 13:34:30 2024 A3: 0
  211. Tue May 21 13:34:30 2024 A4: 0
  212. Tue May 21 13:34:30 2024 A5: 0
  213. Tue May 21 13:34:30 2024 A6: 1
  214. Tue May 21 13:34:30 2024 skew 1.00, size 1.219e-13, alpha 1.248, combined = 2.211e-14 rroots = 2
  215. Tue May 21 13:34:30 2024
  216. Tue May 21 13:34:30 2024 commencing linear algebra
  217. Tue May 21 13:34:30 2024 using VBITS=256
  218. Tue May 21 13:34:37 2024 read 31225962 cycles
  219. Tue May 21 13:36:09 2024 cycles contain 111546872 unique relations
  220. Tue May 21 13:37:28 2024 read 111546872 relations
  221. Tue May 21 13:37:40 2024 using 20 quadratic characters above 4294917295
  222. Tue May 21 13:37:53 2024 building initial matrix
  223. Tue May 21 13:55:18 2024 memory use: 14491.2 MB
  224. Tue May 21 13:55:33 2024 read 31225962 cycles
  225. Tue May 21 13:55:36 2024 matrix is 31225785 x 31225962 (13740.4 MB) with weight 3913456660 (125.33/col)
  226. Tue May 21 13:55:36 2024 sparse part has weight 3258490892 (104.35/col)
  227. Tue May 21 14:02:22 2024 filtering completed in 2 passes
  228. Tue May 21 14:02:27 2024 matrix is 31223337 x 31223505 (13740.3 MB) with weight 3913376159 (125.33/col)
  229. Tue May 21 14:02:27 2024 sparse part has weight 3258465614 (104.36/col)
  230. Tue May 21 14:04:15 2024 matrix starts at (0, 0)
  231. Tue May 21 14:04:19 2024 matrix is 31223337 x 31223505 (13740.3 MB) with weight 3913376159 (125.33/col)
  232. Tue May 21 14:04:19 2024 sparse part has weight 3258465614 (104.36/col)
  233. Tue May 21 14:04:19 2024 saving the first 240 matrix rows for later
  234. Tue May 21 14:04:25 2024 matrix includes 256 packed rows
  235. Tue May 21 14:04:35 2024 matrix is 31223097 x 31223505 (12672.0 MB) with weight 2980437306 (95.45/col)
  236. Tue May 21 14:04:35 2024 sparse part has weight 2822300503 (90.39/col)
  237. Tue May 21 14:04:35 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  238. Tue May 21 14:05:49 2024 commencing Lanczos iteration (64 threads)
  239. Tue May 21 14:05:49 2024 memory use: 17960.9 MB
  240. Tue May 21 14:11:51 2024 linear algebra at 0.1%, ETA 100h42m
  241. Tue May 21 14:20:07 2024 checking every 10000 dimensions, checkpointing every 330000 dimensions
  242. Sat May 25 10:37:03 2024 lanczos halted after 122331 iterations (dim = 31223096)
  243. Sat May 25 10:39:07 2024 recovered 36 nontrivial dependencies
  244. Sat May 25 10:39:12 2024 BLanczosTime: 335082
  245. Sat May 25 10:39:12 2024
  246. Sat May 25 10:39:12 2024 commencing square root phase
  247. Sat May 25 10:39:12 2024 reading relations for dependency 1
  248. Sat May 25 10:39:15 2024 read 15610139 cycles
  249. Sat May 25 10:39:42 2024 cycles contain 55766368 unique relations
  250. Sat May 25 10:40:12 2024 read 55766368 relations
  251. Sat May 25 10:43:56 2024 multiplying 55766368 relations
  252. Sat May 25 11:02:23 2024 multiply complete, coefficients have about 1502.51 million bits
  253. Sat May 25 11:02:26 2024 initial square root is modulo 5493559
  254. Sat May 25 11:18:55 2024 sqrtTime: 2383
  255. Sat May 25 11:18:55 2024 p71 factor: 23151997583283040136317951790507280779013013918472645547552967538277581
  256. Sat May 25 11:18:55 2024 p204 factor: 863856344492755641909382749464614739336644766445655371441464906375616809563278474363989057250317497333092685343069122237222702608903495640064156398261016644749459230033580407417669547366307549778208919537
  257. Sat May 25 11:18:55 2024 elapsed time 93:44:29
  258.  
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