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Jul 13th, 2024
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  1. ri Jul 12 19:14:59 2024
  2. Fri Jul 12 19:14:59 2024
  3. Fri Jul 12 19:14:59 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 12 19:14:59 2024 random seeds: 81e9c061 0a70aa8b
  5. Fri Jul 12 19:14:59 2024 MPI process 0 of 1
  6. Fri Jul 12 19:14:59 2024 Using 32 OpenMP threads
  7. Fri Jul 12 19:14:59 2024 factoring 13330572339892073069600609038996533505816893076035147483569131009657726626074474763373421507874848750684592762935049255373576555884968342134208621830243546488709 (161 digits)
  8. Fri Jul 12 19:14:59 2024 searching for 15-digit factors
  9. Fri Jul 12 19:15:00 2024 commencing number field sieve (161-digit input)
  10. Fri Jul 12 19:15:00 2024 R0: -16623861070782017015679958037023
  11. Fri Jul 12 19:15:00 2024 R1: 5269362227315681
  12. Fri Jul 12 19:15:00 2024 A0: -1268998785502805069121664262728030517136
  13. Fri Jul 12 19:15:00 2024 A1: 904980087960083937074986208041932
  14. Fri Jul 12 19:15:00 2024 A2: 138509122339767060549787644
  15. Fri Jul 12 19:15:00 2024 A3: -12289512964089089107
  16. Fri Jul 12 19:15:00 2024 A4: -516004310858
  17. Fri Jul 12 19:15:00 2024 A5: 10500
  18. Fri Jul 12 19:15:00 2024 skew 16270187.61, size 1.355e-15, alpha -6.605, combined = 1.369e-12 rroots = 5
  19. Fri Jul 12 19:15:00 2024
  20. Fri Jul 12 19:15:00 2024 commencing relation filtering
  21. Fri Jul 12 19:15:00 2024 setting target matrix density to 130.0
  22. Fri Jul 12 19:15:00 2024 estimated available RAM is 257736.5 MB
  23. Fri Jul 12 19:15:00 2024 commencing duplicate removal, pass 1
  24. Fri Jul 12 19:16:09 2024 error -1 reading relation 31156868
  25. Fri Jul 12 19:16:09 2024 error -1 reading relation 31302991
  26. Fri Jul 12 19:16:10 2024 error -1 reading relation 31642540
  27. Fri Jul 12 19:16:12 2024 error -1 reading relation 32226035
  28. Fri Jul 12 19:16:14 2024 error -1 reading relation 32637937
  29. Fri Jul 12 19:16:14 2024 error -1 reading relation 32670692
  30. Fri Jul 12 19:16:15 2024 error -1 reading relation 33058092
  31. Fri Jul 12 19:16:17 2024 error -1 reading relation 33595301
  32. Fri Jul 12 19:16:18 2024 error -1 reading relation 33879841
  33. Fri Jul 12 19:17:30 2024 error -1 reading relation 58771513
  34. Fri Jul 12 19:17:53 2024 error -1 reading relation 72544581
  35. Fri Jul 12 19:18:13 2024 error -1 reading relation 81734114
  36. Fri Jul 12 19:19:11 2024 error -1 reading relation 110149534
  37. Fri Jul 12 19:19:52 2024 error -1 reading relation 122349327
  38. Fri Jul 12 19:20:20 2024 error -1 reading relation 131797559
  39. Fri Jul 12 19:20:30 2024 skipped 115 malformed relations
  40. Fri Jul 12 19:20:30 2024 found 27238923 hash collisions in 138632933 relations
  41. Fri Jul 12 19:20:58 2024 added 122549 free relations
  42. Fri Jul 12 19:20:58 2024 commencing duplicate removal, pass 2
  43. Fri Jul 12 19:24:49 2024 found 25842340 duplicates and 112913142 unique relations
  44. Fri Jul 12 19:24:49 2024 memory use: 724.8 MB
  45. Fri Jul 12 19:24:49 2024 reading ideals above 720000
  46. Fri Jul 12 19:24:50 2024 commencing singleton removal, initial pass
  47. Fri Jul 12 19:33:29 2024 memory use: 2756.0 MB
  48. Fri Jul 12 19:33:29 2024 reading all ideals from disk
  49. Fri Jul 12 19:33:31 2024 memory use: 5086.7 MB
  50. Fri Jul 12 19:33:43 2024 keeping 93030717 ideals with weight <= 200, target excess is 593824
  51. Fri Jul 12 19:33:58 2024 commencing in-memory singleton removal
  52. Fri Jul 12 19:33:59 2024 begin with 112913142 relations and 93030717 unique ideals
  53. Fri Jul 12 19:34:11 2024 reduce to 82468460 relations and 60119844 ideals in 12 passes
  54. Fri Jul 12 19:34:11 2024 max relations containing the same ideal: 173
  55. Fri Jul 12 19:34:34 2024 removing 7824738 relations and 5824738 ideals in 2000000 cliques
  56. Fri Jul 12 19:34:37 2024 commencing in-memory singleton removal
  57. Fri Jul 12 19:34:38 2024 begin with 74643722 relations and 60119844 unique ideals
  58. Fri Jul 12 19:34:40 2024 reduce to 74058298 relations and 53692792 ideals in 7 passes
  59. Fri Jul 12 19:34:41 2024 max relations containing the same ideal: 160
  60. Fri Jul 12 19:35:02 2024 removing 6235769 relations and 4235769 ideals in 2000000 cliques
  61. Fri Jul 12 19:35:05 2024 commencing in-memory singleton removal
  62. Fri Jul 12 19:35:05 2024 begin with 67822529 relations and 53692792 unique ideals
  63. Fri Jul 12 19:35:08 2024 reduce to 67425200 relations and 49048840 ideals in 6 passes
  64. Fri Jul 12 19:35:08 2024 max relations containing the same ideal: 150
  65. Fri Jul 12 19:35:32 2024 removing 5813044 relations and 3813044 ideals in 2000000 cliques
  66. Fri Jul 12 19:35:34 2024 commencing in-memory singleton removal
  67. Fri Jul 12 19:35:35 2024 begin with 61612156 relations and 49048840 unique ideals
  68. Fri Jul 12 19:35:38 2024 reduce to 61262966 relations and 44876954 ideals in 7 passes
  69. Fri Jul 12 19:35:38 2024 max relations containing the same ideal: 143
  70. Fri Jul 12 19:35:57 2024 removing 5599160 relations and 3599160 ideals in 2000000 cliques
  71. Fri Jul 12 19:36:00 2024 commencing in-memory singleton removal
  72. Fri Jul 12 19:36:00 2024 begin with 55663806 relations and 44876954 unique ideals
  73. Fri Jul 12 19:36:02 2024 reduce to 55330876 relations and 40935340 ideals in 6 passes
  74. Fri Jul 12 19:36:02 2024 max relations containing the same ideal: 132
  75. Fri Jul 12 19:36:19 2024 removing 5465279 relations and 3465279 ideals in 2000000 cliques
  76. Fri Jul 12 19:36:21 2024 commencing in-memory singleton removal
  77. Fri Jul 12 19:36:21 2024 begin with 49865597 relations and 40935340 unique ideals
  78. Fri Jul 12 19:36:23 2024 reduce to 49534985 relations and 37129289 ideals in 6 passes
  79. Fri Jul 12 19:36:23 2024 max relations containing the same ideal: 122
  80. Fri Jul 12 19:36:38 2024 removing 5374365 relations and 3374365 ideals in 2000000 cliques
  81. Fri Jul 12 19:36:40 2024 commencing in-memory singleton removal
  82. Fri Jul 12 19:36:40 2024 begin with 44160620 relations and 37129289 unique ideals
  83. Fri Jul 12 19:36:42 2024 reduce to 43822171 relations and 33404865 ideals in 7 passes
  84. Fri Jul 12 19:36:42 2024 max relations containing the same ideal: 112
  85. Fri Jul 12 19:36:56 2024 removing 5309657 relations and 3309657 ideals in 2000000 cliques
  86. Fri Jul 12 19:36:57 2024 commencing in-memory singleton removal
  87. Fri Jul 12 19:36:58 2024 begin with 38512514 relations and 33404865 unique ideals
  88. Fri Jul 12 19:36:59 2024 reduce to 38154346 relations and 29723406 ideals in 7 passes
  89. Fri Jul 12 19:36:59 2024 max relations containing the same ideal: 106
  90. Fri Jul 12 19:37:11 2024 removing 5265904 relations and 3265904 ideals in 2000000 cliques
  91. Fri Jul 12 19:37:13 2024 commencing in-memory singleton removal
  92. Fri Jul 12 19:37:13 2024 begin with 32888442 relations and 29723406 unique ideals
  93. Fri Jul 12 19:37:15 2024 reduce to 32498026 relations and 26050273 ideals in 6 passes
  94. Fri Jul 12 19:37:15 2024 max relations containing the same ideal: 92
  95. Fri Jul 12 19:37:25 2024 removing 5233826 relations and 3233826 ideals in 2000000 cliques
  96. Fri Jul 12 19:37:27 2024 commencing in-memory singleton removal
  97. Fri Jul 12 19:37:27 2024 begin with 27264200 relations and 26050273 unique ideals
  98. Fri Jul 12 19:37:28 2024 reduce to 26822835 relations and 22353120 ideals in 9 passes
  99. Fri Jul 12 19:37:28 2024 max relations containing the same ideal: 84
  100. Fri Jul 12 19:37:37 2024 removing 5215507 relations and 3215507 ideals in 2000000 cliques
  101. Fri Jul 12 19:37:38 2024 commencing in-memory singleton removal
  102. Fri Jul 12 19:37:38 2024 begin with 21607328 relations and 22353120 unique ideals
  103. Fri Jul 12 19:37:39 2024 reduce to 21082870 relations and 18581963 ideals in 7 passes
  104. Fri Jul 12 19:37:39 2024 max relations containing the same ideal: 69
  105. Fri Jul 12 19:37:46 2024 removing 4778119 relations and 2966048 ideals in 1812071 cliques
  106. Fri Jul 12 19:37:47 2024 commencing in-memory singleton removal
  107. Fri Jul 12 19:37:47 2024 begin with 16304751 relations and 18581963 unique ideals
  108. Fri Jul 12 19:37:48 2024 reduce to 15703003 relations and 14972099 ideals in 8 passes
  109. Fri Jul 12 19:37:48 2024 max relations containing the same ideal: 57
  110. Fri Jul 12 19:37:53 2024 removing 220958 relations and 178890 ideals in 42068 cliques
  111. Fri Jul 12 19:37:54 2024 commencing in-memory singleton removal
  112. Fri Jul 12 19:37:54 2024 begin with 15482045 relations and 14972099 unique ideals
  113. Fri Jul 12 19:37:55 2024 reduce to 15479272 relations and 14790429 ideals in 5 passes
  114. Fri Jul 12 19:37:55 2024 max relations containing the same ideal: 57
  115. Fri Jul 12 19:37:56 2024 relations with 0 large ideals: 1895
  116. Fri Jul 12 19:37:56 2024 relations with 1 large ideals: 15992
  117. Fri Jul 12 19:37:56 2024 relations with 2 large ideals: 199244
  118. Fri Jul 12 19:37:56 2024 relations with 3 large ideals: 1019049
  119. Fri Jul 12 19:37:56 2024 relations with 4 large ideals: 2696127
  120. Fri Jul 12 19:37:56 2024 relations with 5 large ideals: 4146118
  121. Fri Jul 12 19:37:56 2024 relations with 6 large ideals: 3956245
  122. Fri Jul 12 19:37:56 2024 relations with 7+ large ideals: 3444602
  123. Fri Jul 12 19:37:56 2024 commencing 2-way merge
  124. Fri Jul 12 19:38:03 2024 reduce to 10775524 relation sets and 10086681 unique ideals
  125. Fri Jul 12 19:38:03 2024 commencing full merge
  126. Fri Jul 12 19:40:54 2024 memory use: 1257.1 MB
  127. Fri Jul 12 19:40:54 2024 found 4686712 cycles, need 4652881
  128. Fri Jul 12 19:40:55 2024 weight of 4652881 cycles is about 605065161 (130.04/cycle)
  129. Fri Jul 12 19:40:55 2024 distribution of cycle lengths:
  130. Fri Jul 12 19:40:55 2024 1 relations: 75908
  131. Fri Jul 12 19:40:55 2024 2 relations: 209641
  132. Fri Jul 12 19:40:55 2024 3 relations: 285299
  133. Fri Jul 12 19:40:55 2024 4 relations: 321583
  134. Fri Jul 12 19:40:55 2024 5 relations: 351653
  135. Fri Jul 12 19:40:55 2024 6 relations: 358888
  136. Fri Jul 12 19:40:55 2024 7 relations: 359819
  137. Fri Jul 12 19:40:55 2024 8 relations: 344560
  138. Fri Jul 12 19:40:55 2024 9 relations: 324238
  139. Fri Jul 12 19:40:55 2024 10+ relations: 2021292
  140. Fri Jul 12 19:40:55 2024 heaviest cycle: 28 relations
  141. Fri Jul 12 19:40:56 2024 commencing cycle optimization
  142. Fri Jul 12 19:41:04 2024 start with 44164063 relations
  143. Fri Jul 12 19:42:25 2024 pruned 2622379 relations
  144. Fri Jul 12 19:42:25 2024 memory use: 1094.1 MB
  145. Fri Jul 12 19:42:25 2024 distribution of cycle lengths:
  146. Fri Jul 12 19:42:25 2024 1 relations: 75908
  147. Fri Jul 12 19:42:25 2024 2 relations: 216817
  148. Fri Jul 12 19:42:25 2024 3 relations: 300732
  149. Fri Jul 12 19:42:25 2024 4 relations: 340142
  150. Fri Jul 12 19:42:25 2024 5 relations: 376704
  151. Fri Jul 12 19:42:25 2024 6 relations: 383959
  152. Fri Jul 12 19:42:25 2024 7 relations: 387647
  153. Fri Jul 12 19:42:25 2024 8 relations: 367288
  154. Fri Jul 12 19:42:25 2024 9 relations: 346083
  155. Fri Jul 12 19:42:25 2024 10+ relations: 1857601
  156. Fri Jul 12 19:42:25 2024 heaviest cycle: 28 relations
  157. Fri Jul 12 19:42:30 2024 RelProcTime: 1650
  158. Fri Jul 12 19:42:30 2024 elapsed time 00:27:31
  159. Fri Jul 12 19:48:53 2024
  160. Fri Jul 12 19:48:53 2024
  161. Fri Jul 12 19:48:53 2024 Msieve v. 1.54 (SVN Unversioned directory)
  162. Fri Jul 12 19:48:53 2024 random seeds: 89d6126c 455f07ae
  163. Fri Jul 12 19:48:53 2024 MPI process 0 of 1
  164. Fri Jul 12 19:48:53 2024 Using 64 OpenMP threads
  165. Fri Jul 12 19:48:53 2024 factoring 13330572339892073069600609038996533505816893076035147483569131009657726626074474763373421507874848750684592762935049255373576555884968342134208621830243546488709 (161 digits)
  166. Fri Jul 12 19:48:54 2024 searching for 15-digit factors
  167. Fri Jul 12 19:48:54 2024 commencing number field sieve (161-digit input)
  168. Fri Jul 12 19:48:54 2024 R0: -16623861070782017015679958037023
  169. Fri Jul 12 19:48:54 2024 R1: 5269362227315681
  170. Fri Jul 12 19:48:54 2024 A0: -1268998785502805069121664262728030517136
  171. Fri Jul 12 19:48:54 2024 A1: 904980087960083937074986208041932
  172. Fri Jul 12 19:48:54 2024 A2: 138509122339767060549787644
  173. Fri Jul 12 19:48:54 2024 A3: -12289512964089089107
  174. Fri Jul 12 19:48:54 2024 A4: -516004310858
  175. Fri Jul 12 19:48:54 2024 A5: 10500
  176. Fri Jul 12 19:48:54 2024 skew 16270187.61, size 1.355e-15, alpha -6.605, combined = 1.369e-12 rroots = 5
  177. Fri Jul 12 19:48:54 2024
  178. Fri Jul 12 19:48:54 2024 commencing linear algebra
  179. Fri Jul 12 19:48:54 2024 using VBITS=256
  180. Fri Jul 12 19:48:54 2024 initialized process (0,0) of 1 x 1 grid
  181. Fri Jul 12 19:48:54 2024 read 4652881 cycles
  182. Fri Jul 12 19:49:01 2024 cycles contain 15167499 unique relations
  183. Fri Jul 12 19:50:53 2024 read 15167499 relations
  184. Fri Jul 12 19:50:54 2024 using 20 quadratic characters above 4294917295
  185. Fri Jul 12 19:50:55 2024 building initial matrix
  186. Fri Jul 12 19:53:53 2024 memory use: 2064.1 MB
  187. Fri Jul 12 19:53:56 2024 read 4652881 cycles
  188. Fri Jul 12 19:53:57 2024 matrix is 4652703 x 4652881 (2313.0 MB) with weight 699873405 (150.42/col)
  189. Fri Jul 12 19:53:57 2024 sparse part has weight 550512674 (118.32/col)
  190. Fri Jul 12 19:54:45 2024 filtering completed in 2 passes
  191. Fri Jul 12 19:54:46 2024 matrix is 4652613 x 4652791 (2313.0 MB) with weight 699868927 (150.42/col)
  192. Fri Jul 12 19:54:46 2024 sparse part has weight 550511197 (118.32/col)
  193. Fri Jul 12 19:55:12 2024 matrix starts at (0, 0)
  194. Fri Jul 12 19:55:13 2024 matrix is 4652613 x 4652791 (2313.0 MB) with weight 699868927 (150.42/col)
  195. Fri Jul 12 19:55:13 2024 sparse part has weight 550511197 (118.32/col)
  196. Fri Jul 12 19:55:13 2024 saving the first 240 matrix rows for later
  197. Fri Jul 12 19:55:14 2024 matrix includes 256 packed rows
  198. Fri Jul 12 19:55:15 2024 matrix is 4652373 x 4652791 (2083.0 MB) with weight 502256828 (107.95/col)
  199. Fri Jul 12 19:55:15 2024 sparse part has weight 471604408 (101.36/col)
  200. Fri Jul 12 19:55:15 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  201. Fri Jul 12 19:55:25 2024 commencing Lanczos iteration (64 threads)
  202. Fri Jul 12 19:55:25 2024 memory use: 2949.8 MB
  203. Fri Jul 12 19:56:10 2024 linear algebra at 0.7%, ETA 1h50m
  204. Fri Jul 12 19:57:10 2024 checking every 40000 dimensions, checkpointing every 2680000 dimensions
  205. Fri Jul 12 21:39:48 2024 lanczos halted after 18229 iterations (dim = 4652370)
  206. Fri Jul 12 21:40:09 2024 recovered 27 nontrivial dependencies
  207. Fri Jul 12 21:40:09 2024 BLanczosTime: 6675
  208. Fri Jul 12 21:40:09 2024
  209. Fri Jul 12 21:40:09 2024 commencing square root phase
  210. Fri Jul 12 21:40:09 2024 reading relations for dependency 1
  211. Fri Jul 12 21:40:09 2024 read 2323903 cycles
  212. Fri Jul 12 21:40:13 2024 cycles contain 7578298 unique relations
  213. Fri Jul 12 21:42:23 2024 read 7578298 relations
  214. Fri Jul 12 21:43:20 2024 multiplying 7578298 relations
  215. Fri Jul 12 21:45:08 2024 multiply complete, coefficients have about 385.11 million bits
  216. Fri Jul 12 21:45:10 2024 initial square root is modulo 8130821
  217. Fri Jul 12 21:49:32 2024 GCD is N, no factor found
  218. Fri Jul 12 21:49:32 2024 reading relations for dependency 2
  219. Fri Jul 12 21:49:32 2024 read 2326144 cycles
  220. Fri Jul 12 21:49:36 2024 cycles contain 7585792 unique relations
  221. Fri Jul 12 21:51:55 2024 read 7585792 relations
  222. Fri Jul 12 21:52:55 2024 multiplying 7585792 relations
  223. Fri Jul 12 21:54:41 2024 multiply complete, coefficients have about 385.49 million bits
  224. Fri Jul 12 21:54:43 2024 initial square root is modulo 8259649
  225. Fri Jul 12 21:58:46 2024 sqrtTime: 1117
  226. Fri Jul 12 21:58:46 2024 p73 factor: 5050249071162913918340906658942157114041063656806213306489344702234269779
  227. Fri Jul 12 21:58:46 2024 p88 factor: 2639587107893365838124533019128314101257346811123395629346060641718845014795930974473671
  228. Fri Jul 12 21:58:46 2024 elapsed time 02:09:53
  229.  
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