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Sep 7th, 2025
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  1. Sat Sep 6 14:12:54 2025
  2. Sat Sep 6 14:12:54 2025
  3. Sat Sep 6 14:12:54 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Sep 6 14:12:54 2025 random seeds: 8eed0f19 f9169a5b
  5. Sat Sep 6 14:12:54 2025 MPI process 0 of 1
  6. Sat Sep 6 14:12:54 2025 Using 32 OpenMP threads
  7. Sat Sep 6 14:12:54 2025 factoring 2562512116289407957183783297155627759131935662674733620902722987128878756804569610102831088830488179800625083999871842703702478665778989498862435161721228099705929671463 (169 digits)
  8. Sat Sep 6 14:12:54 2025 searching for 15-digit factors
  9. Sat Sep 6 14:12:55 2025 commencing number field sieve (169-digit input)
  10. Sat Sep 6 14:12:55 2025 R0: -344806217073928536453439367079
  11. Sat Sep 6 14:12:55 2025 R1: 119743865588810559254991139
  12. Sat Sep 6 14:12:55 2025 A0: 623129640493587584726877438812573529864
  13. Sat Sep 6 14:12:55 2025 A1: 486259784358481450804365800507878
  14. Sat Sep 6 14:12:55 2025 A2: -413588864088899510768032327
  15. Sat Sep 6 14:12:55 2025 A3: -96677225740485170147
  16. Sat Sep 6 14:12:55 2025 A4: -101863811948946
  17. Sat Sep 6 14:12:55 2025 A5: 3485160
  18. Sat Sep 6 14:12:55 2025 skew 1449276.71, size 2.285e-16, alpha -7.800, combined = 4.831e-13 rroots = 3
  19. Sat Sep 6 14:12:55 2025
  20. Sat Sep 6 14:12:55 2025 commencing relation filtering
  21. Sat Sep 6 14:12:55 2025 setting target matrix density to 124.0
  22. Sat Sep 6 14:12:55 2025 estimated available RAM is 257736.5 MB
  23. Sat Sep 6 14:12:55 2025 commencing duplicate removal, pass 1
  24. Sat Sep 6 14:17:36 2025 error -1 reading relation 117493990
  25. Sat Sep 6 14:18:20 2025 error -1 reading relation 135340540
  26. Sat Sep 6 14:18:20 2025 error -1 reading relation 135438348
  27. Sat Sep 6 14:18:48 2025 error -1 reading relation 147028528
  28. Sat Sep 6 14:18:51 2025 error -1 reading relation 148303301
  29. Sat Sep 6 14:19:46 2025 error -1 reading relation 171485997
  30. Sat Sep 6 14:20:20 2025 error -1 reading relation 185843803
  31. Sat Sep 6 14:21:01 2025 error -1 reading relation 202567007
  32. Sat Sep 6 14:23:52 2025 error -1 reading relation 273515035
  33. Sat Sep 6 14:24:27 2025 skipped 87 malformed relations
  34. Sat Sep 6 14:24:27 2025 found 54000163 hash collisions in 287784553 relations
  35. Sat Sep 6 14:25:03 2025 commencing duplicate removal, pass 2
  36. Sat Sep 6 14:34:34 2025 found 56393245 duplicates and 231391308 unique relations
  37. Sat Sep 6 14:34:34 2025 memory use: 1705.5 MB
  38. Sat Sep 6 14:34:35 2025 reading ideals above 720000
  39. Sat Sep 6 14:34:35 2025 commencing singleton removal, initial pass
  40. Sat Sep 6 15:02:46 2025 memory use: 6024.0 MB
  41. Sat Sep 6 15:02:47 2025 reading all ideals from disk
  42. Sat Sep 6 15:02:54 2025 memory use: 10703.2 MB
  43. Sat Sep 6 15:03:44 2025 keeping 226291330 ideals with weight <= 200, target excess is 1142277
  44. Sat Sep 6 15:04:46 2025 commencing in-memory singleton removal
  45. Sat Sep 6 15:04:51 2025 begin with 231391308 relations and 226291330 unique ideals
  46. Sat Sep 6 15:05:15 2025 reduce to 122602260 relations and 103649852 ideals in 15 passes
  47. Sat Sep 6 15:05:15 2025 max relations containing the same ideal: 136
  48. Sat Sep 6 15:07:07 2025 removing 12484462 relations and 10484462 ideals in 2000000 cliques
  49. Sat Sep 6 15:07:15 2025 commencing in-memory singleton removal
  50. Sat Sep 6 15:07:18 2025 begin with 110117798 relations and 103649852 unique ideals
  51. Sat Sep 6 15:07:27 2025 reduce to 109128619 relations and 92155425 ideals in 9 passes
  52. Sat Sep 6 15:07:27 2025 max relations containing the same ideal: 127
  53. Sat Sep 6 15:08:54 2025 removing 9527104 relations and 7527104 ideals in 2000000 cliques
  54. Sat Sep 6 15:09:01 2025 commencing in-memory singleton removal
  55. Sat Sep 6 15:09:04 2025 begin with 99601515 relations and 92155425 unique ideals
  56. Sat Sep 6 15:09:12 2025 reduce to 98923232 relations and 83937209 ideals in 10 passes
  57. Sat Sep 6 15:09:12 2025 max relations containing the same ideal: 118
  58. Sat Sep 6 15:10:25 2025 removing 8656591 relations and 6656591 ideals in 2000000 cliques
  59. Sat Sep 6 15:10:32 2025 commencing in-memory singleton removal
  60. Sat Sep 6 15:10:34 2025 begin with 90266641 relations and 83937209 unique ideals
  61. Sat Sep 6 15:10:41 2025 reduce to 89645178 relations and 76647099 ideals in 8 passes
  62. Sat Sep 6 15:10:41 2025 max relations containing the same ideal: 113
  63. Sat Sep 6 15:11:53 2025 removing 8222630 relations and 6222630 ideals in 2000000 cliques
  64. Sat Sep 6 15:11:59 2025 commencing in-memory singleton removal
  65. Sat Sep 6 15:12:01 2025 begin with 81422548 relations and 76647099 unique ideals
  66. Sat Sep 6 15:12:07 2025 reduce to 80804430 relations and 69793569 ideals in 8 passes
  67. Sat Sep 6 15:12:07 2025 max relations containing the same ideal: 105
  68. Sat Sep 6 15:13:09 2025 removing 7990106 relations and 5990106 ideals in 2000000 cliques
  69. Sat Sep 6 15:13:14 2025 commencing in-memory singleton removal
  70. Sat Sep 6 15:13:15 2025 begin with 72814324 relations and 69793569 unique ideals
  71. Sat Sep 6 15:13:21 2025 reduce to 72169422 relations and 63144142 ideals in 9 passes
  72. Sat Sep 6 15:13:21 2025 max relations containing the same ideal: 98
  73. Sat Sep 6 15:14:16 2025 removing 7869890 relations and 5869890 ideals in 2000000 cliques
  74. Sat Sep 6 15:14:21 2025 commencing in-memory singleton removal
  75. Sat Sep 6 15:14:23 2025 begin with 64299532 relations and 63144142 unique ideals
  76. Sat Sep 6 15:14:28 2025 reduce to 63601930 relations and 56559511 ideals in 9 passes
  77. Sat Sep 6 15:14:28 2025 max relations containing the same ideal: 89
  78. Sat Sep 6 15:15:24 2025 removing 7831168 relations and 5831168 ideals in 2000000 cliques
  79. Sat Sep 6 15:15:30 2025 commencing in-memory singleton removal
  80. Sat Sep 6 15:15:31 2025 begin with 55770762 relations and 56559511 unique ideals
  81. Sat Sep 6 15:15:34 2025 reduce to 54982507 relations and 49918499 ideals in 8 passes
  82. Sat Sep 6 15:15:34 2025 max relations containing the same ideal: 81
  83. Sat Sep 6 15:16:17 2025 removing 7861686 relations and 5861686 ideals in 2000000 cliques
  84. Sat Sep 6 15:16:21 2025 commencing in-memory singleton removal
  85. Sat Sep 6 15:16:22 2025 begin with 47120821 relations and 49918499 unique ideals
  86. Sat Sep 6 15:16:25 2025 reduce to 46191692 relations and 43098387 ideals in 9 passes
  87. Sat Sep 6 15:16:25 2025 max relations containing the same ideal: 71
  88. Sat Sep 6 15:17:01 2025 removing 7243157 relations and 5474894 ideals in 1768263 cliques
  89. Sat Sep 6 15:17:05 2025 commencing in-memory singleton removal
  90. Sat Sep 6 15:17:06 2025 begin with 38948535 relations and 43098387 unique ideals
  91. Sat Sep 6 15:17:08 2025 reduce to 38005893 relations and 36648768 ideals in 9 passes
  92. Sat Sep 6 15:17:08 2025 max relations containing the same ideal: 63
  93. Sat Sep 6 15:17:37 2025 removing 288839 relations and 256756 ideals in 32083 cliques
  94. Sat Sep 6 15:17:39 2025 commencing in-memory singleton removal
  95. Sat Sep 6 15:17:40 2025 begin with 37717054 relations and 36648768 unique ideals
  96. Sat Sep 6 15:17:42 2025 reduce to 37715743 relations and 36390698 ideals in 6 passes
  97. Sat Sep 6 15:17:42 2025 max relations containing the same ideal: 63
  98. Sat Sep 6 15:17:48 2025 relations with 0 large ideals: 4228
  99. Sat Sep 6 15:17:48 2025 relations with 1 large ideals: 36031
  100. Sat Sep 6 15:17:48 2025 relations with 2 large ideals: 455475
  101. Sat Sep 6 15:17:48 2025 relations with 3 large ideals: 2361977
  102. Sat Sep 6 15:17:48 2025 relations with 4 large ideals: 6485524
  103. Sat Sep 6 15:17:48 2025 relations with 5 large ideals: 10322954
  104. Sat Sep 6 15:17:48 2025 relations with 6 large ideals: 9933890
  105. Sat Sep 6 15:17:48 2025 relations with 7+ large ideals: 8115664
  106. Sat Sep 6 15:17:48 2025 commencing 2-way merge
  107. Sat Sep 6 15:18:28 2025 reduce to 22499827 relation sets and 21174782 unique ideals
  108. Sat Sep 6 15:18:28 2025 commencing full merge
  109. Sat Sep 6 15:32:38 2025 memory use: 2557.4 MB
  110. Sat Sep 6 15:32:41 2025 found 9755287 cycles, need 9716982
  111. Sat Sep 6 15:32:46 2025 weight of 9716982 cycles is about 1205211665 (124.03/cycle)
  112. Sat Sep 6 15:32:46 2025 distribution of cycle lengths:
  113. Sat Sep 6 15:32:46 2025 1 relations: 636360
  114. Sat Sep 6 15:32:46 2025 2 relations: 667022
  115. Sat Sep 6 15:32:46 2025 3 relations: 682269
  116. Sat Sep 6 15:32:46 2025 4 relations: 660286
  117. Sat Sep 6 15:32:46 2025 5 relations: 657526
  118. Sat Sep 6 15:32:46 2025 6 relations: 633314
  119. Sat Sep 6 15:32:46 2025 7 relations: 623435
  120. Sat Sep 6 15:32:46 2025 8 relations: 589023
  121. Sat Sep 6 15:32:46 2025 9 relations: 565832
  122. Sat Sep 6 15:32:46 2025 10+ relations: 4001915
  123. Sat Sep 6 15:32:46 2025 heaviest cycle: 28 relations
  124. Sat Sep 6 15:32:51 2025 commencing cycle optimization
  125. Sat Sep 6 15:33:29 2025 start with 87846686 relations
  126. Sat Sep 6 15:39:04 2025 pruned 3512475 relations
  127. Sat Sep 6 15:39:04 2025 memory use: 2424.0 MB
  128. Sat Sep 6 15:39:04 2025 distribution of cycle lengths:
  129. Sat Sep 6 15:39:04 2025 1 relations: 636360
  130. Sat Sep 6 15:39:04 2025 2 relations: 683404
  131. Sat Sep 6 15:39:04 2025 3 relations: 708595
  132. Sat Sep 6 15:39:04 2025 4 relations: 683824
  133. Sat Sep 6 15:39:04 2025 5 relations: 684528
  134. Sat Sep 6 15:39:04 2025 6 relations: 659264
  135. Sat Sep 6 15:39:04 2025 7 relations: 649326
  136. Sat Sep 6 15:39:04 2025 8 relations: 613592
  137. Sat Sep 6 15:39:04 2025 9 relations: 587439
  138. Sat Sep 6 15:39:04 2025 10+ relations: 3810650
  139. Sat Sep 6 15:39:04 2025 heaviest cycle: 28 relations
  140. Sat Sep 6 15:39:32 2025 RelProcTime: 5197
  141. Sat Sep 6 15:39:32 2025
  142. Sat Sep 6 15:39:32 2025 commencing linear algebra
  143. Sat Sep 6 15:39:32 2025 using VBITS=256
  144. Sat Sep 6 15:39:32 2025 stopping after matrix build
  145. Sat Sep 6 15:39:32 2025 initialized process (0,0) of 1 x 1 grid
  146. Sat Sep 6 15:39:34 2025 read 9716982 cycles
  147. Sat Sep 6 15:40:07 2025 cycles contain 36750487 unique relations
  148. Sat Sep 6 15:46:21 2025 read 36750487 relations
  149. Sat Sep 6 15:46:27 2025 using 20 quadratic characters above 4294917295
  150. Sat Sep 6 15:46:33 2025 building initial matrix
  151. Sat Sep 6 16:00:37 2025 memory use: 4864.5 MB
  152. Sat Sep 6 16:00:50 2025 read 9716982 cycles
  153. Sat Sep 6 16:00:53 2025 matrix is 9716805 x 9716982 (4694.1 MB) with weight 1432278682 (147.40/col)
  154. Sat Sep 6 16:00:53 2025 sparse part has weight 1123655831 (115.64/col)
  155. Sat Sep 6 16:04:45 2025 filtering completed in 2 passes
  156. Sat Sep 6 16:04:48 2025 matrix is 9716207 x 9716383 (4694.1 MB) with weight 1432248254 (147.41/col)
  157. Sat Sep 6 16:04:48 2025 sparse part has weight 1123646219 (115.64/col)
  158. Sat Sep 6 16:06:00 2025 BLanczosTime: 1588
  159. Sat Sep 6 16:06:00 2025 elapsed time 01:53:06
  160. Sat Sep 6 16:22:55 2025
  161. Sat Sep 6 16:22:55 2025
  162. Sat Sep 6 16:22:55 2025 Msieve v. 1.54 (SVN Unversioned directory)
  163. Sat Sep 6 16:22:55 2025 random seeds: bb9bdfbd 48ac2c9e
  164. Sat Sep 6 16:22:55 2025 MPI process 0 of 1
  165. Sat Sep 6 16:22:55 2025 Using 64 OpenMP threads
  166. Sat Sep 6 16:22:55 2025 factoring 2562512116289407957183783297155627759131935662674733620902722987128878756804569610102831088830488179800625083999871842703702478665778989498862435161721228099705929671463 (169 digits)
  167. Sat Sep 6 16:22:56 2025 searching for 15-digit factors
  168. Sat Sep 6 16:22:57 2025 commencing number field sieve (169-digit input)
  169. Sat Sep 6 16:22:57 2025 R0: -344806217073928536453439367079
  170. Sat Sep 6 16:22:57 2025 R1: 119743865588810559254991139
  171. Sat Sep 6 16:22:57 2025 A0: 623129640493587584726877438812573529864
  172. Sat Sep 6 16:22:57 2025 A1: 486259784358481450804365800507878
  173. Sat Sep 6 16:22:57 2025 A2: -413588864088899510768032327
  174. Sat Sep 6 16:22:57 2025 A3: -96677225740485170147
  175. Sat Sep 6 16:22:57 2025 A4: -101863811948946
  176. Sat Sep 6 16:22:57 2025 A5: 3485160
  177. Sat Sep 6 16:22:57 2025 skew 1449276.71, size 2.285e-16, alpha -7.800, combined = 4.831e-13 rroots = 3
  178. Sat Sep 6 16:22:57 2025
  179. Sat Sep 6 16:22:57 2025 commencing linear algebra
  180. Sat Sep 6 16:22:57 2025 using VBITS=256
  181. Sat Sep 6 16:22:57 2025 skipping matrix build
  182. Sat Sep 6 16:22:57 2025 initialized process (0,0) of 1 x 1 grid
  183. Sat Sep 6 16:23:02 2025 matrix starts at (0, 0)
  184. Sat Sep 6 16:23:03 2025 matrix is 9716207 x 9716383 (4694.1 MB) with weight 1432248254 (147.41/col)
  185. Sat Sep 6 16:23:03 2025 sparse part has weight 1123646219 (115.64/col)
  186. Sat Sep 6 16:23:03 2025 saving the first 240 matrix rows for later
  187. Sat Sep 6 16:23:05 2025 matrix includes 256 packed rows
  188. Sat Sep 6 16:23:08 2025 matrix is 9715967 x 9716383 (4264.5 MB) with weight 1025151520 (105.51/col)
  189. Sat Sep 6 16:23:08 2025 sparse part has weight 962439620 (99.05/col)
  190. Sat Sep 6 16:23:08 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  191. Sat Sep 6 16:23:30 2025 commencing Lanczos iteration (64 threads)
  192. Sat Sep 6 16:23:30 2025 memory use: 6099.3 MB
  193. Sat Sep 6 16:24:48 2025 linear algebra at 0.3%, ETA 6h45m
  194. Sat Sep 6 16:26:45 2025 checking every 20000 dimensions, checkpointing every 1440000 dimensions
  195. Sat Sep 6 23:10:00 2025 lanczos halted after 38069 iterations (dim = 9715967)
  196. Sat Sep 6 23:10:30 2025 recovered 29 nontrivial dependencies
  197. Sat Sep 6 23:10:31 2025 BLanczosTime: 24454
  198. Sat Sep 6 23:10:31 2025
  199. Sat Sep 6 23:10:31 2025 commencing square root phase
  200. Sat Sep 6 23:10:31 2025 handling dependencies 1 to 64
  201. Sat Sep 6 23:10:31 2025 reading relations for dependency 1
  202. Sat Sep 6 23:10:32 2025 read 4860488 cycles
  203. Sat Sep 6 23:10:39 2025 cycles contain 18375154 unique relations
  204. Sat Sep 6 23:16:41 2025 read 18375154 relations
  205. Sat Sep 6 23:19:09 2025 multiplying 18375154 relations
  206. Sat Sep 6 23:22:44 2025 multiply complete, coefficients have about 1104.32 million bits
  207. Sat Sep 6 23:22:49 2025 initial square root is modulo 89899
  208. Sat Sep 6 23:35:46 2025 GCD is 1, no factor found
  209. Sat Sep 6 23:35:46 2025 reading relations for dependency 2
  210. Sat Sep 6 23:35:48 2025 read 4855684 cycles
  211. Sat Sep 6 23:36:06 2025 cycles contain 18375346 unique relations
  212. Sat Sep 6 23:42:19 2025 read 18375346 relations
  213. Sat Sep 6 23:44:34 2025 multiplying 18375346 relations
  214. Sat Sep 6 23:48:01 2025 multiply complete, coefficients have about 1104.35 million bits
  215. Sat Sep 6 23:48:06 2025 initial square root is modulo 89983
  216. Sun Sep 7 00:01:03 2025 GCD is 1, no factor found
  217. Sun Sep 7 00:01:03 2025 reading relations for dependency 3
  218. Sun Sep 7 00:01:05 2025 read 4856697 cycles
  219. Sun Sep 7 00:01:23 2025 cycles contain 18369416 unique relations
  220. Sun Sep 7 00:07:25 2025 read 18369416 relations
  221. Sun Sep 7 00:09:34 2025 multiplying 18369416 relations
  222. Sun Sep 7 00:12:56 2025 multiply complete, coefficients have about 1103.99 million bits
  223. Sun Sep 7 00:13:01 2025 initial square root is modulo 89591
  224. Sun Sep 7 00:25:50 2025 sqrtTime: 4519
  225. Sun Sep 7 00:25:50 2025 p71 factor: 57212931114271785297326419987176418901424511750809491491132051234077847
  226. Sun Sep 7 00:25:50 2025 p98 factor: 44789037484747716946240479045244015746905048094736721860648083259360854841202963443391830928543729
  227. Sun Sep 7 00:25:50 2025 elapsed time 08:02:55
  228.  
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