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Oct 24th, 2024
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  1. Tue Oct 22 22:39:02 2024 Msieve v. 1.54 (SVN Unversioned directory)
  2. Tue Oct 22 22:39:02 2024 random seeds: b55115e4 e11676de
  3. Tue Oct 22 22:39:02 2024 MPI process 0 of 1
  4. Tue Oct 22 22:39:02 2024 Using 32 OpenMP threads
  5. Tue Oct 22 22:39:02 2024 factoring 163839478884066056599847010413725275421348166518642545210970103063742068545789760736779910705448842954747660081486666060537592351252504558298051850686167948885487 (162 digits)
  6. Tue Oct 22 22:39:02 2024 searching for 15-digit factors
  7. Tue Oct 22 22:39:02 2024 commencing number field sieve (162-digit input)
  8. Tue Oct 22 22:39:02 2024 R0: -21726894080744630323259979645389
  9. Tue Oct 22 22:39:02 2024 R1: 40907055583972039
  10. Tue Oct 22 22:39:02 2024 A0: 9957224246232721198331699742647203691904
  11. Tue Oct 22 22:39:02 2024 A1: 7994891271853089036860873440048704
  12. Tue Oct 22 22:39:02 2024 A2: 584851358896806546364345458
  13. Tue Oct 22 22:39:02 2024 A3: -20159302596375571975
  14. Tue Oct 22 22:39:02 2024 A4: -1334397877268
  15. Tue Oct 22 22:39:02 2024 A5: 33840
  16. Tue Oct 22 22:39:02 2024 skew 20791473.60, size 1.167e-15, alpha -7.459, combined = 1.236e-12 rroots = 3
  17. Tue Oct 22 22:39:02 2024
  18. Tue Oct 22 22:39:02 2024 commencing relation filtering
  19. Tue Oct 22 22:39:02 2024 setting target matrix density to 130.0
  20. Tue Oct 22 22:39:02 2024 estimated available RAM is 257736.5 MB
  21. Tue Oct 22 22:39:02 2024 commencing duplicate removal, pass 1
  22. Tue Oct 22 22:39:23 2024 error -1 reading relation 8159535
  23. Tue Oct 22 22:39:35 2024 error -1 reading relation 13961944
  24. Tue Oct 22 22:45:34 2024 error -1 reading relation 127415746
  25. Tue Oct 22 22:45:44 2024 error -1 reading relation 130803751
  26. Tue Oct 22 22:45:50 2024 skipped 20 malformed relations
  27. Tue Oct 22 22:45:50 2024 found 26564026 hash collisions in 132536957 relations
  28. Tue Oct 22 22:46:24 2024 commencing duplicate removal, pass 2
  29. Tue Oct 22 22:49:40 2024 found 25594050 duplicates and 106942907 unique relations
  30. Tue Oct 22 22:49:40 2024 memory use: 724.8 MB
  31. Tue Oct 22 22:49:40 2024 reading ideals above 720000
  32. Tue Oct 22 22:49:41 2024 commencing singleton removal, initial pass
  33. Tue Oct 22 22:59:51 2024 memory use: 2756.0 MB
  34. Tue Oct 22 22:59:51 2024 reading all ideals from disk
  35. Tue Oct 22 22:59:54 2024 memory use: 4823.9 MB
  36. Tue Oct 22 23:00:13 2024 keeping 91867409 ideals with weight <= 200, target excess is 561896
  37. Tue Oct 22 23:00:33 2024 commencing in-memory singleton removal
  38. Tue Oct 22 23:00:36 2024 begin with 106942907 relations and 91867409 unique ideals
  39. Tue Oct 22 23:00:47 2024 reduce to 74753266 relations and 56817488 ideals in 11 passes
  40. Tue Oct 22 23:00:47 2024 max relations containing the same ideal: 169
  41. Tue Oct 22 23:01:28 2024 removing 8229993 relations and 6229993 ideals in 2000000 cliques
  42. Tue Oct 22 23:01:32 2024 commencing in-memory singleton removal
  43. Tue Oct 22 23:01:34 2024 begin with 66523273 relations and 56817488 unique ideals
  44. Tue Oct 22 23:01:40 2024 reduce to 65826469 relations and 49867943 ideals in 7 passes
  45. Tue Oct 22 23:01:40 2024 max relations containing the same ideal: 158
  46. Tue Oct 22 23:02:11 2024 removing 6520259 relations and 4520259 ideals in 2000000 cliques
  47. Tue Oct 22 23:02:13 2024 commencing in-memory singleton removal
  48. Tue Oct 22 23:02:14 2024 begin with 59306210 relations and 49867943 unique ideals
  49. Tue Oct 22 23:02:17 2024 reduce to 58817914 relations and 44844894 ideals in 7 passes
  50. Tue Oct 22 23:02:17 2024 max relations containing the same ideal: 149
  51. Tue Oct 22 23:02:38 2024 removing 6066995 relations and 4066995 ideals in 2000000 cliques
  52. Tue Oct 22 23:02:41 2024 commencing in-memory singleton removal
  53. Tue Oct 22 23:02:42 2024 begin with 52750919 relations and 44844894 unique ideals
  54. Tue Oct 22 23:02:44 2024 reduce to 52311977 relations and 40325442 ideals in 7 passes
  55. Tue Oct 22 23:02:44 2024 max relations containing the same ideal: 134
  56. Tue Oct 22 23:03:13 2024 removing 5841496 relations and 3841496 ideals in 2000000 cliques
  57. Tue Oct 22 23:03:16 2024 commencing in-memory singleton removal
  58. Tue Oct 22 23:03:17 2024 begin with 46470481 relations and 40325442 unique ideals
  59. Tue Oct 22 23:03:19 2024 reduce to 46042453 relations and 36041481 ideals in 7 passes
  60. Tue Oct 22 23:03:19 2024 max relations containing the same ideal: 123
  61. Tue Oct 22 23:03:38 2024 removing 5702571 relations and 3702571 ideals in 2000000 cliques
  62. Tue Oct 22 23:03:40 2024 commencing in-memory singleton removal
  63. Tue Oct 22 23:03:41 2024 begin with 40339882 relations and 36041481 unique ideals
  64. Tue Oct 22 23:03:42 2024 reduce to 39901198 relations and 31883912 ideals in 7 passes
  65. Tue Oct 22 23:03:42 2024 max relations containing the same ideal: 111
  66. Tue Oct 22 23:04:00 2024 removing 5614317 relations and 3614317 ideals in 2000000 cliques
  67. Tue Oct 22 23:04:03 2024 commencing in-memory singleton removal
  68. Tue Oct 22 23:04:03 2024 begin with 34286881 relations and 31883912 unique ideals
  69. Tue Oct 22 23:04:04 2024 reduce to 33817632 relations and 27780450 ideals in 7 passes
  70. Tue Oct 22 23:04:04 2024 max relations containing the same ideal: 101
  71. Tue Oct 22 23:04:17 2024 removing 5555570 relations and 3555570 ideals in 2000000 cliques
  72. Tue Oct 22 23:04:19 2024 commencing in-memory singleton removal
  73. Tue Oct 22 23:04:19 2024 begin with 28262062 relations and 27780450 unique ideals
  74. Tue Oct 22 23:04:20 2024 reduce to 27742163 relations and 23679393 ideals in 8 passes
  75. Tue Oct 22 23:04:20 2024 max relations containing the same ideal: 90
  76. Tue Oct 22 23:04:30 2024 removing 5509061 relations and 3509061 ideals in 2000000 cliques
  77. Tue Oct 22 23:04:32 2024 commencing in-memory singleton removal
  78. Tue Oct 22 23:04:32 2024 begin with 22233102 relations and 23679393 unique ideals
  79. Tue Oct 22 23:04:33 2024 reduce to 21618578 relations and 19519338 ideals in 8 passes
  80. Tue Oct 22 23:04:33 2024 max relations containing the same ideal: 75
  81. Tue Oct 22 23:04:41 2024 removing 4181324 relations and 2733884 ideals in 1447440 cliques
  82. Tue Oct 22 23:04:42 2024 commencing in-memory singleton removal
  83. Tue Oct 22 23:04:42 2024 begin with 17437254 relations and 19519338 unique ideals
  84. Tue Oct 22 23:04:43 2024 reduce to 16935208 relations and 16254334 ideals in 8 passes
  85. Tue Oct 22 23:04:43 2024 max relations containing the same ideal: 62
  86. Tue Oct 22 23:04:49 2024 removing 166441 relations and 137367 ideals in 29074 cliques
  87. Tue Oct 22 23:04:50 2024 commencing in-memory singleton removal
  88. Tue Oct 22 23:04:50 2024 begin with 16768767 relations and 16254334 unique ideals
  89. Tue Oct 22 23:04:51 2024 reduce to 16767628 relations and 16115826 ideals in 6 passes
  90. Tue Oct 22 23:04:51 2024 max relations containing the same ideal: 61
  91. Tue Oct 22 23:04:52 2024 relations with 0 large ideals: 1811
  92. Tue Oct 22 23:04:52 2024 relations with 1 large ideals: 13227
  93. Tue Oct 22 23:04:52 2024 relations with 2 large ideals: 169537
  94. Tue Oct 22 23:04:52 2024 relations with 3 large ideals: 920598
  95. Tue Oct 22 23:04:52 2024 relations with 4 large ideals: 2623075
  96. Tue Oct 22 23:04:52 2024 relations with 5 large ideals: 4341684
  97. Tue Oct 22 23:04:52 2024 relations with 6 large ideals: 4453519
  98. Tue Oct 22 23:04:52 2024 relations with 7+ large ideals: 4244177
  99. Tue Oct 22 23:04:52 2024 commencing 2-way merge
  100. Tue Oct 22 23:05:00 2024 reduce to 11385736 relation sets and 10733933 unique ideals
  101. Tue Oct 22 23:05:00 2024 commencing full merge
  102. Tue Oct 22 23:08:59 2024 memory use: 1358.1 MB
  103. Tue Oct 22 23:09:00 2024 found 4983939 cycles, need 4952133
  104. Tue Oct 22 23:09:02 2024 weight of 4952133 cycles is about 644288926 (130.10/cycle)
  105. Tue Oct 22 23:09:02 2024 distribution of cycle lengths:
  106. Tue Oct 22 23:09:02 2024 1 relations: 92683
  107. Tue Oct 22 23:09:02 2024 2 relations: 228654
  108. Tue Oct 22 23:09:02 2024 3 relations: 304116
  109. Tue Oct 22 23:09:02 2024 4 relations: 335789
  110. Tue Oct 22 23:09:02 2024 5 relations: 363324
  111. Tue Oct 22 23:09:02 2024 6 relations: 370772
  112. Tue Oct 22 23:09:02 2024 7 relations: 373399
  113. Tue Oct 22 23:09:02 2024 8 relations: 360316
  114. Tue Oct 22 23:09:02 2024 9 relations: 340610
  115. Tue Oct 22 23:09:02 2024 10+ relations: 2182470
  116. Tue Oct 22 23:09:02 2024 heaviest cycle: 28 relations
  117. Tue Oct 22 23:09:03 2024 commencing cycle optimization
  118. Tue Oct 22 23:09:13 2024 start with 47173717 relations
  119. Tue Oct 22 23:10:51 2024 pruned 2637754 relations
  120. Tue Oct 22 23:10:51 2024 memory use: 1179.6 MB
  121. Tue Oct 22 23:10:51 2024 distribution of cycle lengths:
  122. Tue Oct 22 23:10:51 2024 1 relations: 92683
  123. Tue Oct 22 23:10:51 2024 2 relations: 235918
  124. Tue Oct 22 23:10:51 2024 3 relations: 319766
  125. Tue Oct 22 23:10:51 2024 4 relations: 353782
  126. Tue Oct 22 23:10:51 2024 5 relations: 386998
  127. Tue Oct 22 23:10:51 2024 6 relations: 395274
  128. Tue Oct 22 23:10:51 2024 7 relations: 399451
  129. Tue Oct 22 23:10:51 2024 8 relations: 383316
  130. Tue Oct 22 23:10:51 2024 9 relations: 362718
  131. Tue Oct 22 23:10:51 2024 10+ relations: 2022227
  132. Tue Oct 22 23:10:51 2024 heaviest cycle: 28 relations
  133. Tue Oct 22 23:10:58 2024 RelProcTime: 1916
  134. Tue Oct 22 23:10:58 2024 elapsed time 00:31:56
  135. Tue Oct 22 23:12:58 2024
  136. Tue Oct 22 23:12:58 2024
  137. Tue Oct 22 23:12:58 2024 Msieve v. 1.54 (SVN Unversioned directory)
  138. Tue Oct 22 23:12:58 2024 random seeds: 2c7388e3 90c4c06f
  139. Tue Oct 22 23:12:58 2024 MPI process 0 of 1
  140. Tue Oct 22 23:12:58 2024 Using 32 OpenMP threads
  141. Tue Oct 22 23:12:58 2024 factoring 163839478884066056599847010413725275421348166518642545210970103063742068545789760736779910705448842954747660081486666060537592351252504558298051850686167948885487 (162 digits)
  142. Tue Oct 22 23:12:59 2024 searching for 15-digit factors
  143. Tue Oct 22 23:12:59 2024 commencing number field sieve (162-digit input)
  144. Tue Oct 22 23:12:59 2024 R0: -21726894080744630323259979645389
  145. Tue Oct 22 23:12:59 2024 R1: 40907055583972039
  146. Tue Oct 22 23:12:59 2024 A0: 9957224246232721198331699742647203691904
  147. Tue Oct 22 23:12:59 2024 A1: 7994891271853089036860873440048704
  148. Tue Oct 22 23:12:59 2024 A2: 584851358896806546364345458
  149. Tue Oct 22 23:12:59 2024 A3: -20159302596375571975
  150. Tue Oct 22 23:12:59 2024 A4: -1334397877268
  151. Tue Oct 22 23:12:59 2024 A5: 33840
  152. Tue Oct 22 23:12:59 2024 skew 20791473.60, size 1.167e-15, alpha -7.459, combined = 1.236e-12 rroots = 3
  153. Tue Oct 22 23:12:59 2024
  154. Tue Oct 22 23:12:59 2024 commencing linear algebra
  155. Tue Oct 22 23:12:59 2024 using VBITS=256
  156. Tue Oct 22 23:12:59 2024 stopping after matrix build
  157. Tue Oct 22 23:12:59 2024 initialized process (0,0) of 1 x 1 grid
  158. Tue Oct 22 23:13:00 2024 read 4952133 cycles
  159. Tue Oct 22 23:13:13 2024 cycles contain 16460087 unique relations
  160. Tue Oct 22 23:15:26 2024 read 16460087 relations
  161. Tue Oct 22 23:15:29 2024 using 20 quadratic characters above 4294917295
  162. Tue Oct 22 23:15:32 2024 building initial matrix
  163. Tue Oct 22 23:20:16 2024 memory use: 2230.3 MB
  164. Tue Oct 22 23:20:21 2024 read 4952133 cycles
  165. Tue Oct 22 23:20:22 2024 matrix is 4951955 x 4952133 (2473.3 MB) with weight 750472518 (151.55/col)
  166. Tue Oct 22 23:20:22 2024 sparse part has weight 588940745 (118.93/col)
  167. Tue Oct 22 23:21:47 2024 filtering completed in 2 passes
  168. Tue Oct 22 23:21:49 2024 matrix is 4951882 x 4952058 (2473.3 MB) with weight 750467772 (151.55/col)
  169. Tue Oct 22 23:21:49 2024 sparse part has weight 588938626 (118.93/col)
  170. Tue Oct 22 23:22:25 2024 BLanczosTime: 566
  171. Tue Oct 22 23:22:25 2024 elapsed time 00:09:27
  172. Wed Oct 23 11:50:19 2024
  173. Wed Oct 23 11:50:19 2024
  174. Wed Oct 23 11:50:19 2024 Msieve v. 1.54 (SVN Unversioned directory)
  175. Wed Oct 23 11:50:19 2024 random seeds: b50a044c acf395ad
  176. Wed Oct 23 11:50:19 2024 MPI process 0 of 1
  177. Wed Oct 23 11:50:19 2024 Using 64 OpenMP threads
  178. Wed Oct 23 11:50:19 2024 factoring 163839478884066056599847010413725275421348166518642545210970103063742068545789760736779910705448842954747660081486666060537592351252504558298051850686167948885487 (162 digits)
  179. Wed Oct 23 11:50:20 2024 searching for 15-digit factors
  180. Wed Oct 23 11:50:20 2024 commencing number field sieve (162-digit input)
  181. Wed Oct 23 11:50:20 2024 R0: -21726894080744630323259979645389
  182. Wed Oct 23 11:50:20 2024 R1: 40907055583972039
  183. Wed Oct 23 11:50:20 2024 A0: 9957224246232721198331699742647203691904
  184. Wed Oct 23 11:50:20 2024 A1: 7994891271853089036860873440048704
  185. Wed Oct 23 11:50:20 2024 A2: 584851358896806546364345458
  186. Wed Oct 23 11:50:20 2024 A3: -20159302596375571975
  187. Wed Oct 23 11:50:20 2024 A4: -1334397877268
  188. Wed Oct 23 11:50:20 2024 A5: 33840
  189. Wed Oct 23 11:50:20 2024 skew 20791473.60, size 1.167e-15, alpha -7.459, combined = 1.236e-12 rroots = 3
  190. Wed Oct 23 11:50:20 2024
  191. Wed Oct 23 11:50:20 2024 commencing linear algebra
  192. Wed Oct 23 11:50:20 2024 using VBITS=256
  193. Wed Oct 23 11:50:20 2024 skipping matrix build
  194. Wed Oct 23 11:50:20 2024 initialized process (0,0) of 1 x 1 grid
  195. Wed Oct 23 11:50:22 2024 matrix starts at (0, 0)
  196. Wed Oct 23 11:50:23 2024 matrix is 4951882 x 4952058 (2473.3 MB) with weight 750467772 (151.55/col)
  197. Wed Oct 23 11:50:23 2024 sparse part has weight 588938626 (118.93/col)
  198. Wed Oct 23 11:50:23 2024 saving the first 240 matrix rows for later
  199. Wed Oct 23 11:50:25 2024 matrix includes 256 packed rows
  200. Wed Oct 23 11:50:26 2024 matrix is 4951642 x 4952058 (2224.7 MB) with weight 538234615 (108.69/col)
  201. Wed Oct 23 11:50:26 2024 sparse part has weight 503951810 (101.77/col)
  202. Wed Oct 23 11:50:26 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  203. Wed Oct 23 11:50:37 2024 commencing Lanczos iteration (64 threads)
  204. Wed Oct 23 11:50:37 2024 memory use: 3146.0 MB
  205. Wed Oct 23 11:51:26 2024 linear algebra at 0.6%, ETA 2h 8m
  206. Wed Oct 23 11:52:37 2024 checking every 30000 dimensions, checkpointing every 2340000 dimensions
  207. Wed Oct 23 13:52:04 2024 lanczos halted after 19402 iterations (dim = 4951639)
  208. Wed Oct 23 13:52:27 2024 recovered 28 nontrivial dependencies
  209. Wed Oct 23 13:52:28 2024 BLanczosTime: 7328
  210. Wed Oct 23 13:52:28 2024
  211. Wed Oct 23 13:52:28 2024 commencing square root phase
  212. Wed Oct 23 13:52:28 2024 handling dependencies 1 to 64
  213. Wed Oct 23 13:52:28 2024 reading relations for dependency 1
  214. Wed Oct 23 13:52:28 2024 read 2476487 cycles
  215. Wed Oct 23 13:52:31 2024 cycles contain 8228288 unique relations
  216. Wed Oct 23 13:54:09 2024 read 8228288 relations
  217. Wed Oct 23 13:54:39 2024 multiplying 8228288 relations
  218. Wed Oct 23 13:55:25 2024 multiply complete, coefficients have about 426.22 million bits
  219. Wed Oct 23 13:55:27 2024 initial square root is modulo 44433413
  220. Wed Oct 23 13:57:45 2024 sqrtTime: 317
  221. Wed Oct 23 13:57:45 2024 p59 factor: 84459603927669272283304623426474656618897798240071335715361
  222. Wed Oct 23 13:57:45 2024 p103 factor: 1939856111856471181608959440769798727502334204901923094884670429201115883970761442453501484764728868367
  223. Wed Oct 23 13:57:45 2024 elapsed time 02:07:26
  224.  
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