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Aug 21st, 2025
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  1. Wed Aug 20 15:54:49 2025 Msieve v. 1.54 (SVN Unversioned directory)
  2. Wed Aug 20 15:54:49 2025 random seeds: 92d92ed1 3cbe2213
  3. Wed Aug 20 15:54:49 2025 MPI process 0 of 1
  4. Wed Aug 20 15:54:49 2025 Using 32 OpenMP threads
  5. Wed Aug 20 15:54:49 2025 factoring 7331728415144525855826066735084686480249953994660980757491631009815318328574849829400737040855617309433021961790550357031251033744118540524814502990395199777214117 (163 digits)
  6. Wed Aug 20 15:54:50 2025 searching for 15-digit factors
  7. Wed Aug 20 15:54:50 2025 commencing number field sieve (163-digit input)
  8. Wed Aug 20 15:54:50 2025 R0: -27777640318496095716746961795005
  9. Wed Aug 20 15:54:50 2025 R1: 2587584548789738473117469
  10. Wed Aug 20 15:54:50 2025 A0: 160899307750044785575704674952948337308
  11. Wed Aug 20 15:54:50 2025 A1: 177905795316411311372046437646000
  12. Wed Aug 20 15:54:50 2025 A2: -34145408300363059765161835
  13. Wed Aug 20 15:54:50 2025 A3: -28006156642943845990
  14. Wed Aug 20 15:54:50 2025 A4: 4190013277662
  15. Wed Aug 20 15:54:50 2025 A5: 309120
  16. Wed Aug 20 15:54:50 2025 skew 4027971.64, size 8.673e-16, alpha -6.400, combined = 1.050e-12 rroots = 5
  17. Wed Aug 20 15:54:50 2025
  18. Wed Aug 20 15:54:50 2025 commencing relation filtering
  19. Wed Aug 20 15:54:50 2025 setting target matrix density to 130.0
  20. Wed Aug 20 15:54:50 2025 estimated available RAM is 257736.5 MB
  21. Wed Aug 20 15:54:50 2025 commencing duplicate removal, pass 1
  22. Wed Aug 20 15:56:16 2025 error -1 reading relation 36865237
  23. Wed Aug 20 15:59:15 2025 error -1 reading relation 112116665
  24. Wed Aug 20 15:59:55 2025 error -1 reading relation 129219098
  25. Wed Aug 20 16:00:00 2025 error -1 reading relation 131334927
  26. Wed Aug 20 16:00:05 2025 error -1 reading relation 133830061
  27. Wed Aug 20 16:00:31 2025 error -1 reading relation 145790195
  28. Wed Aug 20 16:03:17 2025 error -1 reading relation 215035780
  29. Wed Aug 20 16:05:21 2025 error -11 reading relation 267107332
  30. Wed Aug 20 16:05:22 2025 error -1 reading relation 267242513
  31. Wed Aug 20 16:05:34 2025 skipped 2 relations with composite factors
  32. Wed Aug 20 16:05:34 2025 skipped 59 malformed relations
  33. Wed Aug 20 16:05:34 2025 found 45346825 hash collisions in 272402254 relations
  34. Wed Aug 20 16:06:00 2025 commencing duplicate removal, pass 2
  35. Wed Aug 20 16:13:00 2025 found 45566108 duplicates and 226836146 unique relations
  36. Wed Aug 20 16:13:00 2025 memory use: 1577.5 MB
  37. Wed Aug 20 16:13:00 2025 reading ideals above 720000
  38. Wed Aug 20 16:13:00 2025 commencing singleton removal, initial pass
  39. Wed Aug 20 16:32:09 2025 memory use: 6024.0 MB
  40. Wed Aug 20 16:32:10 2025 reading all ideals from disk
  41. Wed Aug 20 16:32:15 2025 memory use: 10278.5 MB
  42. Wed Aug 20 16:32:49 2025 keeping 219591702 ideals with weight <= 200, target excess is 1118181
  43. Wed Aug 20 16:33:30 2025 commencing in-memory singleton removal
  44. Wed Aug 20 16:33:35 2025 begin with 226836146 relations and 219591702 unique ideals
  45. Wed Aug 20 16:33:53 2025 reduce to 118271156 relations and 96671996 ideals in 14 passes
  46. Wed Aug 20 16:33:53 2025 max relations containing the same ideal: 140
  47. Wed Aug 20 16:34:53 2025 removing 11890131 relations and 9890131 ideals in 2000000 cliques
  48. Wed Aug 20 16:34:58 2025 commencing in-memory singleton removal
  49. Wed Aug 20 16:35:01 2025 begin with 106381025 relations and 96671996 unique ideals
  50. Wed Aug 20 16:35:08 2025 reduce to 105477448 relations and 85858813 ideals in 9 passes
  51. Wed Aug 20 16:35:08 2025 max relations containing the same ideal: 127
  52. Wed Aug 20 16:36:01 2025 removing 9022557 relations and 7022557 ideals in 2000000 cliques
  53. Wed Aug 20 16:36:05 2025 commencing in-memory singleton removal
  54. Wed Aug 20 16:36:08 2025 begin with 96454891 relations and 85858813 unique ideals
  55. Wed Aug 20 16:36:14 2025 reduce to 95840300 relations and 78209960 ideals in 9 passes
  56. Wed Aug 20 16:36:14 2025 max relations containing the same ideal: 121
  57. Wed Aug 20 16:37:02 2025 removing 8168024 relations and 6168024 ideals in 2000000 cliques
  58. Wed Aug 20 16:37:06 2025 commencing in-memory singleton removal
  59. Wed Aug 20 16:37:08 2025 begin with 87672276 relations and 78209960 unique ideals
  60. Wed Aug 20 16:37:13 2025 reduce to 87118465 relations and 71476910 ideals in 7 passes
  61. Wed Aug 20 16:37:13 2025 max relations containing the same ideal: 115
  62. Wed Aug 20 16:37:55 2025 removing 7741372 relations and 5741372 ideals in 2000000 cliques
  63. Wed Aug 20 16:37:59 2025 commencing in-memory singleton removal
  64. Wed Aug 20 16:38:00 2025 begin with 79377093 relations and 71476910 unique ideals
  65. Wed Aug 20 16:38:05 2025 reduce to 78836170 relations and 65183146 ideals in 8 passes
  66. Wed Aug 20 16:38:05 2025 max relations containing the same ideal: 106
  67. Wed Aug 20 16:38:45 2025 removing 7491728 relations and 5491728 ideals in 2000000 cliques
  68. Wed Aug 20 16:38:49 2025 commencing in-memory singleton removal
  69. Wed Aug 20 16:38:51 2025 begin with 71344442 relations and 65183146 unique ideals
  70. Wed Aug 20 16:38:54 2025 reduce to 70792256 relations and 59126600 ideals in 7 passes
  71. Wed Aug 20 16:38:54 2025 max relations containing the same ideal: 100
  72. Wed Aug 20 16:39:30 2025 removing 7339735 relations and 5339735 ideals in 2000000 cliques
  73. Wed Aug 20 16:39:34 2025 commencing in-memory singleton removal
  74. Wed Aug 20 16:39:35 2025 begin with 63452521 relations and 59126600 unique ideals
  75. Wed Aug 20 16:39:38 2025 reduce to 62866118 relations and 53185813 ideals in 8 passes
  76. Wed Aug 20 16:39:38 2025 max relations containing the same ideal: 89
  77. Wed Aug 20 16:40:10 2025 removing 7256025 relations and 5256025 ideals in 2000000 cliques
  78. Wed Aug 20 16:40:13 2025 commencing in-memory singleton removal
  79. Wed Aug 20 16:40:14 2025 begin with 55610093 relations and 53185813 unique ideals
  80. Wed Aug 20 16:40:17 2025 reduce to 54964421 relations and 47265972 ideals in 8 passes
  81. Wed Aug 20 16:40:17 2025 max relations containing the same ideal: 82
  82. Wed Aug 20 16:40:43 2025 removing 7234428 relations and 5234428 ideals in 2000000 cliques
  83. Wed Aug 20 16:40:46 2025 commencing in-memory singleton removal
  84. Wed Aug 20 16:40:47 2025 begin with 47729993 relations and 47265972 unique ideals
  85. Wed Aug 20 16:40:49 2025 reduce to 46994480 relations and 41272834 ideals in 8 passes
  86. Wed Aug 20 16:40:49 2025 max relations containing the same ideal: 75
  87. Wed Aug 20 16:41:13 2025 removing 7275047 relations and 5275047 ideals in 2000000 cliques
  88. Wed Aug 20 16:41:16 2025 commencing in-memory singleton removal
  89. Wed Aug 20 16:41:16 2025 begin with 39719433 relations and 41272834 unique ideals
  90. Wed Aug 20 16:41:19 2025 reduce to 38837857 relations and 35083228 ideals in 9 passes
  91. Wed Aug 20 16:41:19 2025 max relations containing the same ideal: 69
  92. Wed Aug 20 16:41:37 2025 removing 7379171 relations and 5379171 ideals in 2000000 cliques
  93. Wed Aug 20 16:41:39 2025 commencing in-memory singleton removal
  94. Wed Aug 20 16:41:40 2025 begin with 31458686 relations and 35083228 unique ideals
  95. Wed Aug 20 16:41:42 2025 reduce to 30317377 relations and 28510682 ideals in 12 passes
  96. Wed Aug 20 16:41:42 2025 max relations containing the same ideal: 56
  97. Wed Aug 20 16:41:58 2025 removing 2681570 relations and 2171965 ideals in 509605 cliques
  98. Wed Aug 20 16:42:00 2025 commencing in-memory singleton removal
  99. Wed Aug 20 16:42:01 2025 begin with 27635807 relations and 28510682 unique ideals
  100. Wed Aug 20 16:42:02 2025 reduce to 27458536 relations and 26158776 ideals in 7 passes
  101. Wed Aug 20 16:42:02 2025 max relations containing the same ideal: 52
  102. Wed Aug 20 16:42:19 2025 relations with 0 large ideals: 4158
  103. Wed Aug 20 16:42:19 2025 relations with 1 large ideals: 49952
  104. Wed Aug 20 16:42:19 2025 relations with 2 large ideals: 546956
  105. Wed Aug 20 16:42:19 2025 relations with 3 large ideals: 2488872
  106. Wed Aug 20 16:42:19 2025 relations with 4 large ideals: 5910320
  107. Wed Aug 20 16:42:19 2025 relations with 5 large ideals: 8011122
  108. Wed Aug 20 16:42:19 2025 relations with 6 large ideals: 6443172
  109. Wed Aug 20 16:42:19 2025 relations with 7+ large ideals: 4003984
  110. Wed Aug 20 16:42:19 2025 commencing 2-way merge
  111. Wed Aug 20 16:42:37 2025 reduce to 16175944 relation sets and 14876184 unique ideals
  112. Wed Aug 20 16:42:37 2025 commencing full merge
  113. Wed Aug 20 16:48:32 2025 memory use: 1758.4 MB
  114. Wed Aug 20 16:48:34 2025 found 6834964 cycles, need 6790384
  115. Wed Aug 20 16:48:36 2025 weight of 6790384 cycles is about 883249597 (130.07/cycle)
  116. Wed Aug 20 16:48:36 2025 distribution of cycle lengths:
  117. Wed Aug 20 16:48:36 2025 1 relations: 426165
  118. Wed Aug 20 16:48:36 2025 2 relations: 414900
  119. Wed Aug 20 16:48:36 2025 3 relations: 419070
  120. Wed Aug 20 16:48:36 2025 4 relations: 414799
  121. Wed Aug 20 16:48:36 2025 5 relations: 421553
  122. Wed Aug 20 16:48:36 2025 6 relations: 418887
  123. Wed Aug 20 16:48:36 2025 7 relations: 412132
  124. Wed Aug 20 16:48:36 2025 8 relations: 403685
  125. Wed Aug 20 16:48:36 2025 9 relations: 389508
  126. Wed Aug 20 16:48:36 2025 10+ relations: 3069685
  127. Wed Aug 20 16:48:36 2025 heaviest cycle: 28 relations
  128. Wed Aug 20 16:48:39 2025 commencing cycle optimization
  129. Wed Aug 20 16:48:54 2025 start with 65098558 relations
  130. Wed Aug 20 16:51:28 2025 pruned 2762420 relations
  131. Wed Aug 20 16:51:28 2025 memory use: 1764.7 MB
  132. Wed Aug 20 16:51:28 2025 distribution of cycle lengths:
  133. Wed Aug 20 16:51:28 2025 1 relations: 426165
  134. Wed Aug 20 16:51:28 2025 2 relations: 424918
  135. Wed Aug 20 16:51:28 2025 3 relations: 435079
  136. Wed Aug 20 16:51:28 2025 4 relations: 430220
  137. Wed Aug 20 16:51:28 2025 5 relations: 440570
  138. Wed Aug 20 16:51:28 2025 6 relations: 436635
  139. Wed Aug 20 16:51:28 2025 7 relations: 431972
  140. Wed Aug 20 16:51:28 2025 8 relations: 422271
  141. Wed Aug 20 16:51:28 2025 9 relations: 407997
  142. Wed Aug 20 16:51:28 2025 10+ relations: 2934557
  143. Wed Aug 20 16:51:28 2025 heaviest cycle: 28 relations
  144. Wed Aug 20 16:51:40 2025 RelProcTime: 3410
  145. Wed Aug 20 16:51:40 2025
  146. Wed Aug 20 16:51:40 2025 commencing linear algebra
  147. Wed Aug 20 16:51:40 2025 using VBITS=256
  148. Wed Aug 20 16:51:40 2025 stopping after matrix build
  149. Wed Aug 20 16:51:40 2025 initialized process (0,0) of 1 x 1 grid
  150. Wed Aug 20 16:51:41 2025 read 6790384 cycles
  151. Wed Aug 20 16:51:55 2025 cycles contain 26549371 unique relations
  152. Wed Aug 20 16:56:26 2025 read 26549371 relations
  153. Wed Aug 20 16:56:29 2025 using 20 quadratic characters above 4294917295
  154. Wed Aug 20 16:56:33 2025 building initial matrix
  155. Wed Aug 20 17:03:34 2025 memory use: 3569.1 MB
  156. Wed Aug 20 17:03:42 2025 read 6790384 cycles
  157. Wed Aug 20 17:03:43 2025 matrix is 6790207 x 6790384 (3427.1 MB) with weight 1042618857 (153.54/col)
  158. Wed Aug 20 17:03:43 2025 sparse part has weight 816900737 (120.30/col)
  159. Wed Aug 20 17:05:35 2025 filtering completed in 2 passes
  160. Wed Aug 20 17:05:37 2025 matrix is 6789766 x 6789942 (3427.0 MB) with weight 1042594114 (153.55/col)
  161. Wed Aug 20 17:05:37 2025 sparse part has weight 816891683 (120.31/col)
  162. Wed Aug 20 17:06:26 2025 BLanczosTime: 886
  163. Wed Aug 20 17:06:26 2025 elapsed time 01:11:37
  164. Wed Aug 20 19:40:42 2025
  165. Wed Aug 20 19:40:42 2025
  166. Wed Aug 20 19:40:42 2025 Msieve v. 1.54 (SVN Unversioned directory)
  167. Wed Aug 20 19:40:42 2025 random seeds: 840d64d1 49c84a45
  168. Wed Aug 20 19:40:42 2025 MPI process 0 of 1
  169. Wed Aug 20 19:40:42 2025 Using 64 OpenMP threads
  170. Wed Aug 20 19:40:42 2025 factoring 7331728415144525855826066735084686480249953994660980757491631009815318328574849829400737040855617309433021961790550357031251033744118540524814502990395199777214117 (163 digits)
  171. Wed Aug 20 19:40:43 2025 searching for 15-digit factors
  172. Wed Aug 20 19:40:43 2025 commencing number field sieve (163-digit input)
  173. Wed Aug 20 19:40:43 2025 R0: -27777640318496095716746961795005
  174. Wed Aug 20 19:40:43 2025 R1: 2587584548789738473117469
  175. Wed Aug 20 19:40:43 2025 A0: 160899307750044785575704674952948337308
  176. Wed Aug 20 19:40:43 2025 A1: 177905795316411311372046437646000
  177. Wed Aug 20 19:40:43 2025 A2: -34145408300363059765161835
  178. Wed Aug 20 19:40:43 2025 A3: -28006156642943845990
  179. Wed Aug 20 19:40:43 2025 A4: 4190013277662
  180. Wed Aug 20 19:40:43 2025 A5: 309120
  181. Wed Aug 20 19:40:43 2025 skew 4027971.64, size 8.673e-16, alpha -6.400, combined = 1.050e-12 rroots = 5
  182. Wed Aug 20 19:40:43 2025
  183. Wed Aug 20 19:40:43 2025 commencing linear algebra
  184. Wed Aug 20 19:40:43 2025 using VBITS=256
  185. Wed Aug 20 19:40:43 2025 skipping matrix build
  186. Wed Aug 20 19:40:43 2025 initialized process (0,0) of 1 x 1 grid
  187. Wed Aug 20 19:40:48 2025 matrix starts at (0, 0)
  188. Wed Aug 20 19:40:49 2025 matrix is 6789766 x 6789942 (3427.0 MB) with weight 1042594114 (153.55/col)
  189. Wed Aug 20 19:40:49 2025 sparse part has weight 816891683 (120.31/col)
  190. Wed Aug 20 19:40:49 2025 saving the first 240 matrix rows for later
  191. Wed Aug 20 19:40:51 2025 matrix includes 256 packed rows
  192. Wed Aug 20 19:40:53 2025 matrix is 6789526 x 6789942 (3076.3 MB) with weight 745695791 (109.82/col)
  193. Wed Aug 20 19:40:53 2025 sparse part has weight 697788323 (102.77/col)
  194. Wed Aug 20 19:40:53 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  195. Wed Aug 20 19:41:08 2025 commencing Lanczos iteration (64 threads)
  196. Wed Aug 20 19:41:08 2025 memory use: 4341.8 MB
  197. Wed Aug 20 19:42:08 2025 linear algebra at 0.5%, ETA 3h36m
  198. Wed Aug 20 19:43:34 2025 checking every 30000 dimensions, checkpointing every 1920000 dimensions
  199. Wed Aug 20 23:12:32 2025 lanczos halted after 26602 iterations (dim = 6789526)
  200. Wed Aug 20 23:12:56 2025 recovered 30 nontrivial dependencies
  201. Wed Aug 20 23:12:56 2025 BLanczosTime: 12733
  202. Wed Aug 20 23:12:56 2025
  203. Wed Aug 20 23:12:56 2025 commencing square root phase
  204. Wed Aug 20 23:12:56 2025 handling dependencies 1 to 64
  205. Wed Aug 20 23:12:56 2025 reading relations for dependency 1
  206. Wed Aug 20 23:12:57 2025 read 3395010 cycles
  207. Wed Aug 20 23:13:03 2025 cycles contain 13273774 unique relations
  208. Wed Aug 20 23:16:51 2025 read 13273774 relations
  209. Wed Aug 20 23:17:35 2025 multiplying 13273774 relations
  210. Wed Aug 20 23:18:48 2025 multiply complete, coefficients have about 727.92 million bits
  211. Wed Aug 20 23:18:51 2025 initial square root is modulo 3392723
  212. Wed Aug 20 23:22:42 2025 GCD is N, no factor found
  213. Wed Aug 20 23:22:42 2025 reading relations for dependency 2
  214. Wed Aug 20 23:22:42 2025 read 3395905 cycles
  215. Wed Aug 20 23:22:48 2025 cycles contain 13279004 unique relations
  216. Wed Aug 20 23:26:36 2025 read 13279004 relations
  217. Wed Aug 20 23:27:19 2025 multiplying 13279004 relations
  218. Wed Aug 20 23:28:31 2025 multiply complete, coefficients have about 728.21 million bits
  219. Wed Aug 20 23:28:33 2025 initial square root is modulo 3413539
  220. Wed Aug 20 23:32:26 2025 sqrtTime: 1170
  221. Wed Aug 20 23:32:26 2025 p58 factor: 3978546716615749280679125901624151371252309877516856844919
  222. Wed Aug 20 23:32:26 2025 p106 factor: 1842815715729756786005596430215323754572032203856653020356750551266697106762387389208725840198415847285443
  223. Wed Aug 20 23:32:26 2025 elapsed time 03:51:44
  224.  
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