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Jun 29th, 2025
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  1. Sun Jun 29 14:24:23 2025
  2. Sun Jun 29 14:24:23 2025
  3. Sun Jun 29 14:24:23 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Jun 29 14:24:23 2025 random seeds: 0d66ecb6 7832c1b7
  5. Sun Jun 29 14:24:23 2025 MPI process 0 of 1
  6. Sun Jun 29 14:24:23 2025 Using 32 OpenMP threads
  7. Sun Jun 29 14:24:23 2025 factoring 15161717104274443229300566820632004884429617868865827539051520644683652123507865524561665656871296611894488222576680505931909624157120276856537523009271796328042467 (164 digits)
  8. Sun Jun 29 14:24:24 2025 searching for 15-digit factors
  9. Sun Jun 29 14:24:24 2025 commencing number field sieve (164-digit input)
  10. Sun Jun 29 14:24:24 2025 R0: -44198446035625387478734617169893
  11. Sun Jun 29 14:24:24 2025 R1: 97836639631513689787211
  12. Sun Jun 29 14:24:24 2025 A0: 25582684155751074741020362077711953176
  13. Sun Jun 29 14:24:24 2025 A1: 29345321931197437953531215472166
  14. Sun Jun 29 14:24:24 2025 A2: -91348645912949623979164375
  15. Sun Jun 29 14:24:24 2025 A3: -1332435942978238657
  16. Sun Jun 29 14:24:24 2025 A4: 30408560139390
  17. Sun Jun 29 14:24:24 2025 A5: 831600
  18. Sun Jun 29 14:24:24 2025 skew 1907543.39, size 8.519e-16, alpha -7.490, combined = 1.056e-12 rroots = 5
  19. Sun Jun 29 14:24:24 2025
  20. Sun Jun 29 14:24:24 2025 commencing relation filtering
  21. Sun Jun 29 14:24:24 2025 setting target matrix density to 130.0
  22. Sun Jun 29 14:24:24 2025 estimated available RAM is 257736.5 MB
  23. Sun Jun 29 14:24:24 2025 commencing duplicate removal, pass 1
  24. Sun Jun 29 14:25:30 2025 error -1 reading relation 29867075
  25. Sun Jun 29 14:28:40 2025 error -1 reading relation 112940919
  26. Sun Jun 29 14:28:41 2025 error -1 reading relation 113319706
  27. Sun Jun 29 14:28:42 2025 error -1 reading relation 113634329
  28. Sun Jun 29 14:28:55 2025 error -1 reading relation 119127551
  29. Sun Jun 29 14:28:59 2025 error -1 reading relation 120656958
  30. Sun Jun 29 14:29:46 2025 error -1 reading relation 141140685
  31. Sun Jun 29 14:31:20 2025 error -1 reading relation 183696515
  32. Sun Jun 29 14:31:57 2025 error -1 reading relation 200614394
  33. Sun Jun 29 14:32:22 2025 error -1 reading relation 211753552
  34. Sun Jun 29 14:32:34 2025 error -1 reading relation 217518802
  35. Sun Jun 29 14:32:42 2025 error -1 reading relation 221116166
  36. Sun Jun 29 14:32:43 2025 error -1 reading relation 221576186
  37. Sun Jun 29 14:32:44 2025 error -1 reading relation 222209562
  38. Sun Jun 29 14:32:45 2025 error -1 reading relation 222664812
  39. Sun Jun 29 14:32:59 2025 error -1 reading relation 228080172
  40. Sun Jun 29 14:33:45 2025 error -1 reading relation 247548440
  41. Sun Jun 29 14:33:59 2025 error -1 reading relation 253484748
  42. Sun Jun 29 14:34:47 2025 error -1 reading relation 273409305
  43. Sun Jun 29 14:35:06 2025 skipped 154 malformed relations
  44. Sun Jun 29 14:35:06 2025 found 43430492 hash collisions in 280674168 relations
  45. Sun Jun 29 14:35:37 2025 commencing duplicate removal, pass 2
  46. Sun Jun 29 14:42:43 2025 found 42323370 duplicates and 238350798 unique relations
  47. Sun Jun 29 14:42:43 2025 memory use: 1577.5 MB
  48. Sun Jun 29 14:42:44 2025 reading ideals above 720000
  49. Sun Jun 29 14:42:44 2025 commencing singleton removal, initial pass
  50. Sun Jun 29 15:00:44 2025 memory use: 6024.0 MB
  51. Sun Jun 29 15:00:45 2025 reading all ideals from disk
  52. Sun Jun 29 15:00:50 2025 memory use: 10840.4 MB
  53. Sun Jun 29 15:01:17 2025 keeping 225878418 ideals with weight <= 200, target excess is 1160889
  54. Sun Jun 29 15:01:55 2025 commencing in-memory singleton removal
  55. Sun Jun 29 15:01:58 2025 begin with 238350798 relations and 225878418 unique ideals
  56. Sun Jun 29 15:02:16 2025 reduce to 131235678 relations and 105510953 ideals in 16 passes
  57. Sun Jun 29 15:02:16 2025 max relations containing the same ideal: 141
  58. Sun Jun 29 15:03:08 2025 removing 11718627 relations and 9718627 ideals in 2000000 cliques
  59. Sun Jun 29 15:03:13 2025 commencing in-memory singleton removal
  60. Sun Jun 29 15:03:15 2025 begin with 119517051 relations and 105510953 unique ideals
  61. Sun Jun 29 15:03:24 2025 reduce to 118723277 relations and 94982676 ideals in 11 passes
  62. Sun Jun 29 15:03:24 2025 max relations containing the same ideal: 134
  63. Sun Jun 29 15:04:08 2025 removing 8904550 relations and 6904550 ideals in 2000000 cliques
  64. Sun Jun 29 15:04:12 2025 commencing in-memory singleton removal
  65. Sun Jun 29 15:04:14 2025 begin with 109818727 relations and 94982676 unique ideals
  66. Sun Jun 29 15:04:20 2025 reduce to 109282135 relations and 87532245 ideals in 8 passes
  67. Sun Jun 29 15:04:20 2025 max relations containing the same ideal: 126
  68. Sun Jun 29 15:04:59 2025 removing 8065996 relations and 6065996 ideals in 2000000 cliques
  69. Sun Jun 29 15:05:03 2025 commencing in-memory singleton removal
  70. Sun Jun 29 15:05:04 2025 begin with 101216139 relations and 87532245 unique ideals
  71. Sun Jun 29 15:05:09 2025 reduce to 100737489 relations and 80979170 ideals in 7 passes
  72. Sun Jun 29 15:05:09 2025 max relations containing the same ideal: 118
  73. Sun Jun 29 15:05:48 2025 removing 7634716 relations and 5634716 ideals in 2000000 cliques
  74. Sun Jun 29 15:05:52 2025 commencing in-memory singleton removal
  75. Sun Jun 29 15:05:53 2025 begin with 93102773 relations and 80979170 unique ideals
  76. Sun Jun 29 15:05:58 2025 reduce to 92642564 relations and 74875646 ideals in 8 passes
  77. Sun Jun 29 15:05:58 2025 max relations containing the same ideal: 111
  78. Sun Jun 29 15:07:27 2025 removing 7374000 relations and 5374000 ideals in 2000000 cliques
  79. Sun Jun 29 15:07:30 2025 commencing in-memory singleton removal
  80. Sun Jun 29 15:07:31 2025 begin with 85268564 relations and 74875646 unique ideals
  81. Sun Jun 29 15:07:34 2025 reduce to 84807069 relations and 69031065 ideals in 7 passes
  82. Sun Jun 29 15:07:34 2025 max relations containing the same ideal: 107
  83. Sun Jun 29 15:08:04 2025 removing 7208454 relations and 5208454 ideals in 2000000 cliques
  84. Sun Jun 29 15:08:08 2025 commencing in-memory singleton removal
  85. Sun Jun 29 15:08:09 2025 begin with 77598615 relations and 69031065 unique ideals
  86. Sun Jun 29 15:08:13 2025 reduce to 77123615 relations and 63337375 ideals in 8 passes
  87. Sun Jun 29 15:08:13 2025 max relations containing the same ideal: 101
  88. Sun Jun 29 15:08:39 2025 removing 7107984 relations and 5107984 ideals in 2000000 cliques
  89. Sun Jun 29 15:08:42 2025 commencing in-memory singleton removal
  90. Sun Jun 29 15:08:43 2025 begin with 70015631 relations and 63337375 unique ideals
  91. Sun Jun 29 15:08:46 2025 reduce to 69515603 relations and 57717877 ideals in 7 passes
  92. Sun Jun 29 15:08:46 2025 max relations containing the same ideal: 93
  93. Sun Jun 29 15:09:10 2025 removing 7050800 relations and 5050800 ideals in 2000000 cliques
  94. Sun Jun 29 15:09:13 2025 commencing in-memory singleton removal
  95. Sun Jun 29 15:09:13 2025 begin with 62464803 relations and 57717877 unique ideals
  96. Sun Jun 29 15:09:17 2025 reduce to 61921437 relations and 52109856 ideals in 8 passes
  97. Sun Jun 29 15:09:17 2025 max relations containing the same ideal: 88
  98. Sun Jun 29 15:09:39 2025 removing 7038833 relations and 5038833 ideals in 2000000 cliques
  99. Sun Jun 29 15:09:41 2025 commencing in-memory singleton removal
  100. Sun Jun 29 15:09:42 2025 begin with 54882604 relations and 52109856 unique ideals
  101. Sun Jun 29 15:09:45 2025 reduce to 54276363 relations and 46447554 ideals in 10 passes
  102. Sun Jun 29 15:09:45 2025 max relations containing the same ideal: 80
  103. Sun Jun 29 15:10:04 2025 removing 7058228 relations and 5058228 ideals in 2000000 cliques
  104. Sun Jun 29 15:10:07 2025 commencing in-memory singleton removal
  105. Sun Jun 29 15:10:07 2025 begin with 47218135 relations and 46447554 unique ideals
  106. Sun Jun 29 15:10:09 2025 reduce to 46515213 relations and 40663734 ideals in 8 passes
  107. Sun Jun 29 15:10:09 2025 max relations containing the same ideal: 71
  108. Sun Jun 29 15:10:29 2025 removing 7127632 relations and 5127632 ideals in 2000000 cliques
  109. Sun Jun 29 15:10:31 2025 commencing in-memory singleton removal
  110. Sun Jun 29 15:10:32 2025 begin with 39387581 relations and 40663734 unique ideals
  111. Sun Jun 29 15:10:34 2025 reduce to 38541220 relations and 34657954 ideals in 9 passes
  112. Sun Jun 29 15:10:34 2025 max relations containing the same ideal: 62
  113. Sun Jun 29 15:10:52 2025 removing 7255542 relations and 5255542 ideals in 2000000 cliques
  114. Sun Jun 29 15:10:54 2025 commencing in-memory singleton removal
  115. Sun Jun 29 15:10:54 2025 begin with 31285678 relations and 34657954 unique ideals
  116. Sun Jun 29 15:10:56 2025 reduce to 30193356 relations and 28259885 ideals in 9 passes
  117. Sun Jun 29 15:10:56 2025 max relations containing the same ideal: 54
  118. Sun Jun 29 15:11:10 2025 removing 2926494 relations and 2339655 ideals in 586839 cliques
  119. Sun Jun 29 15:11:11 2025 commencing in-memory singleton removal
  120. Sun Jun 29 15:11:12 2025 begin with 27266862 relations and 28259885 unique ideals
  121. Sun Jun 29 15:11:13 2025 reduce to 27054926 relations and 25704718 ideals in 8 passes
  122. Sun Jun 29 15:11:13 2025 max relations containing the same ideal: 50
  123. Sun Jun 29 15:11:28 2025 relations with 0 large ideals: 4324
  124. Sun Jun 29 15:11:28 2025 relations with 1 large ideals: 48991
  125. Sun Jun 29 15:11:28 2025 relations with 2 large ideals: 554297
  126. Sun Jun 29 15:11:28 2025 relations with 3 large ideals: 2519370
  127. Sun Jun 29 15:11:28 2025 relations with 4 large ideals: 5922800
  128. Sun Jun 29 15:11:28 2025 relations with 5 large ideals: 7907893
  129. Sun Jun 29 15:11:28 2025 relations with 6 large ideals: 6263529
  130. Sun Jun 29 15:11:28 2025 relations with 7+ large ideals: 3833722
  131. Sun Jun 29 15:11:28 2025 commencing 2-way merge
  132. Sun Jun 29 15:11:44 2025 reduce to 16008113 relation sets and 14657905 unique ideals
  133. Sun Jun 29 15:11:44 2025 commencing full merge
  134. Sun Jun 29 15:16:54 2025 memory use: 1786.5 MB
  135. Sun Jun 29 15:16:55 2025 found 6839198 cycles, need 6782105
  136. Sun Jun 29 15:16:56 2025 weight of 6782105 cycles is about 882200675 (130.08/cycle)
  137. Sun Jun 29 15:16:56 2025 distribution of cycle lengths:
  138. Sun Jun 29 15:16:56 2025 1 relations: 382667
  139. Sun Jun 29 15:16:56 2025 2 relations: 415280
  140. Sun Jun 29 15:16:56 2025 3 relations: 427529
  141. Sun Jun 29 15:16:56 2025 4 relations: 422653
  142. Sun Jun 29 15:16:56 2025 5 relations: 428756
  143. Sun Jun 29 15:16:56 2025 6 relations: 424954
  144. Sun Jun 29 15:16:56 2025 7 relations: 415570
  145. Sun Jun 29 15:16:56 2025 8 relations: 409181
  146. Sun Jun 29 15:16:56 2025 9 relations: 392957
  147. Sun Jun 29 15:16:56 2025 10+ relations: 3062558
  148. Sun Jun 29 15:16:56 2025 heaviest cycle: 28 relations
  149. Sun Jun 29 15:16:58 2025 commencing cycle optimization
  150. Sun Jun 29 15:17:11 2025 start with 64899046 relations
  151. Sun Jun 29 15:19:20 2025 pruned 2814130 relations
  152. Sun Jun 29 15:19:21 2025 memory use: 1748.8 MB
  153. Sun Jun 29 15:19:21 2025 distribution of cycle lengths:
  154. Sun Jun 29 15:19:21 2025 1 relations: 382667
  155. Sun Jun 29 15:19:21 2025 2 relations: 425530
  156. Sun Jun 29 15:19:21 2025 3 relations: 444271
  157. Sun Jun 29 15:19:21 2025 4 relations: 438428
  158. Sun Jun 29 15:19:21 2025 5 relations: 448084
  159. Sun Jun 29 15:19:21 2025 6 relations: 443329
  160. Sun Jun 29 15:19:21 2025 7 relations: 436579
  161. Sun Jun 29 15:19:21 2025 8 relations: 428613
  162. Sun Jun 29 15:19:21 2025 9 relations: 411948
  163. Sun Jun 29 15:19:21 2025 10+ relations: 2922656
  164. Sun Jun 29 15:19:21 2025 heaviest cycle: 28 relations
  165. Sun Jun 29 15:19:30 2025 RelProcTime: 3306
  166. Sun Jun 29 15:19:30 2025
  167. Sun Jun 29 15:19:30 2025 commencing linear algebra
  168. Sun Jun 29 15:19:30 2025 using VBITS=256
  169. Sun Jun 29 15:19:30 2025 stopping after matrix build
  170. Sun Jun 29 15:19:30 2025 initialized process (0,0) of 1 x 1 grid
  171. Sun Jun 29 15:19:30 2025 read 6782105 cycles
  172. Sun Jun 29 15:19:42 2025 cycles contain 26129874 unique relations
  173. Sun Jun 29 15:24:30 2025 read 26129874 relations
  174. Sun Jun 29 15:24:33 2025 using 20 quadratic characters above 4294917295
  175. Sun Jun 29 15:24:37 2025 building initial matrix
  176. Sun Jun 29 15:30:47 2025 memory use: 3539.5 MB
  177. Sun Jun 29 15:30:53 2025 read 6782105 cycles
  178. Sun Jun 29 15:30:54 2025 matrix is 6781928 x 6782105 (3402.4 MB) with weight 1031911613 (152.15/col)
  179. Sun Jun 29 15:30:54 2025 sparse part has weight 817328275 (120.51/col)
  180. Sun Jun 29 15:32:45 2025 filtering completed in 2 passes
  181. Sun Jun 29 15:32:47 2025 matrix is 6781449 x 6781626 (3402.4 MB) with weight 1031884504 (152.16/col)
  182. Sun Jun 29 15:32:47 2025 sparse part has weight 817317444 (120.52/col)
  183. Sun Jun 29 15:33:29 2025 BLanczosTime: 839
  184. Sun Jun 29 15:33:29 2025 elapsed time 01:09:06
  185. Sun Jun 29 15:45:47 2025
  186. Sun Jun 29 15:45:47 2025
  187. Sun Jun 29 15:45:47 2025 Msieve v. 1.54 (SVN Unversioned directory)
  188. Sun Jun 29 15:45:47 2025 random seeds: 342b80d6 4d3c0053
  189. Sun Jun 29 15:45:47 2025 MPI process 0 of 1
  190. Sun Jun 29 15:45:47 2025 Using 64 OpenMP threads
  191. Sun Jun 29 15:45:47 2025 factoring 15161717104274443229300566820632004884429617868865827539051520644683652123507865524561665656871296611894488222576680505931909624157120276856537523009271796328042467 (164 digits)
  192. Sun Jun 29 15:45:47 2025 searching for 15-digit factors
  193. Sun Jun 29 15:45:47 2025 commencing number field sieve (164-digit input)
  194. Sun Jun 29 15:45:47 2025 R0: -44198446035625387478734617169893
  195. Sun Jun 29 15:45:47 2025 R1: 97836639631513689787211
  196. Sun Jun 29 15:45:47 2025 A0: 25582684155751074741020362077711953176
  197. Sun Jun 29 15:45:47 2025 A1: 29345321931197437953531215472166
  198. Sun Jun 29 15:45:47 2025 A2: -91348645912949623979164375
  199. Sun Jun 29 15:45:47 2025 A3: -1332435942978238657
  200. Sun Jun 29 15:45:47 2025 A4: 30408560139390
  201. Sun Jun 29 15:45:47 2025 A5: 831600
  202. Sun Jun 29 15:45:47 2025 skew 1907543.39, size 8.519e-16, alpha -7.490, combined = 1.056e-12 rroots = 5
  203. Sun Jun 29 15:45:47 2025
  204. Sun Jun 29 15:45:47 2025 commencing linear algebra
  205. Sun Jun 29 15:45:47 2025 using VBITS=256
  206. Sun Jun 29 15:45:47 2025 skipping matrix build
  207. Sun Jun 29 15:45:47 2025 initialized process (0,0) of 1 x 1 grid
  208. Sun Jun 29 15:45:51 2025 matrix starts at (0, 0)
  209. Sun Jun 29 15:45:52 2025 matrix is 6781449 x 6781626 (3402.4 MB) with weight 1031884504 (152.16/col)
  210. Sun Jun 29 15:45:52 2025 sparse part has weight 817317444 (120.52/col)
  211. Sun Jun 29 15:45:52 2025 saving the first 240 matrix rows for later
  212. Sun Jun 29 15:45:53 2025 matrix includes 256 packed rows
  213. Sun Jun 29 15:45:55 2025 matrix is 6781209 x 6781626 (3074.9 MB) with weight 744114292 (109.73/col)
  214. Sun Jun 29 15:45:55 2025 sparse part has weight 697563515 (102.86/col)
  215. Sun Jun 29 15:45:55 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  216. Sun Jun 29 15:46:11 2025 commencing Lanczos iteration (64 threads)
  217. Sun Jun 29 15:46:11 2025 memory use: 4338.8 MB
  218. Sun Jun 29 15:47:10 2025 linear algebra at 0.5%, ETA 3h33m
  219. Sun Jun 29 15:48:36 2025 checking every 30000 dimensions, checkpointing every 1950000 dimensions
  220. Sun Jun 29 19:18:54 2025 lanczos halted after 26570 iterations (dim = 6781208)
  221. Sun Jun 29 19:19:21 2025 recovered 26 nontrivial dependencies
  222. Sun Jun 29 19:19:22 2025 BLanczosTime: 12815
  223. Sun Jun 29 19:19:22 2025
  224. Sun Jun 29 19:19:22 2025 commencing square root phase
  225. Sun Jun 29 19:19:22 2025 handling dependencies 1 to 64
  226. Sun Jun 29 19:19:22 2025 reading relations for dependency 1
  227. Sun Jun 29 19:19:22 2025 read 3390840 cycles
  228. Sun Jun 29 19:19:28 2025 cycles contain 13064432 unique relations
  229. Sun Jun 29 19:23:24 2025 read 13064432 relations
  230. Sun Jun 29 19:24:14 2025 multiplying 13064432 relations
  231. Sun Jun 29 19:26:08 2025 multiply complete, coefficients have about 754.66 million bits
  232. Sun Jun 29 19:26:10 2025 initial square root is modulo 5894783
  233. Sun Jun 29 19:31:48 2025 sqrtTime: 746
  234. Sun Jun 29 19:31:48 2025 p80 factor: 68121723865990182953316296933355137384679126277046703137995375700906326728509707
  235. Sun Jun 29 19:31:48 2025 p84 factor: 222568018597132724972509787204290474277382465093080303747928507856505368032793676681
  236. Sun Jun 29 19:31:48 2025 elapsed time 03:46:01
  237.  
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