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Sep 28th, 2025
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  1. Sat Sep 27 21:17:04 2025
  2. Sat Sep 27 21:17:04 2025
  3. Sat Sep 27 21:17:04 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Sep 27 21:17:04 2025 random seeds: 64bb87fc 54559890
  5. Sat Sep 27 21:17:04 2025 MPI process 0 of 1
  6. Sat Sep 27 21:17:04 2025 Using 46 OpenMP threads
  7. Sat Sep 27 21:17:04 2025 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits)
  8. Sat Sep 27 21:17:05 2025 no P-1/P+1/ECM available, skipping
  9. Sat Sep 27 21:17:05 2025 commencing number field sieve (254-digit input)
  10. Sat Sep 27 21:17:05 2025 R0: 21003569655917737906828913229119567415723332757300362
  11. Sat Sep 27 21:17:05 2025 R1: -144926083421576455388993731
  12. Sat Sep 27 21:17:05 2025 A0: 1
  13. Sat Sep 27 21:17:05 2025 A1: 3
  14. Sat Sep 27 21:17:05 2025 A2: -3
  15. Sat Sep 27 21:17:05 2025 A3: -4
  16. Sat Sep 27 21:17:05 2025 A4: 1
  17. Sat Sep 27 21:17:05 2025 A5: 1
  18. Sat Sep 27 21:17:05 2025 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5
  19. Sat Sep 27 21:17:05 2025
  20. Sat Sep 27 21:17:05 2025 commencing relation filtering
  21. Sat Sep 27 21:17:05 2025 setting target matrix density to 70.0
  22. Sat Sep 27 21:17:05 2025 estimated available RAM is 385608.3 MB
  23. Sat Sep 27 21:17:05 2025 commencing duplicate removal, pass 1
  24. Sat Sep 27 21:18:58 2025 error -15 reading relation 213399054
  25. Sat Sep 27 21:19:21 2025 skipped 1395 relations with b > 2^32
  26. Sat Sep 27 21:19:21 2025 skipped 297 malformed relations
  27. Sat Sep 27 21:19:21 2025 found 14131291 hash collisions in 256189401 relations
  28. Sat Sep 27 21:19:21 2025 commencing duplicate removal, pass 2
  29. Sat Sep 27 21:20:10 2025 found 0 duplicates and 256189401 unique relations
  30. Sat Sep 27 21:20:10 2025 memory use: 852.8 MB
  31. Sat Sep 27 21:20:10 2025 reading ideals above 720000
  32. Sat Sep 27 21:20:10 2025 commencing singleton removal, initial pass
  33. Sat Sep 27 21:29:04 2025 memory use: 6024.0 MB
  34. Sat Sep 27 21:29:04 2025 reading all ideals from disk
  35. Sat Sep 27 21:29:13 2025 memory use: 12645.9 MB
  36. Sat Sep 27 21:29:36 2025 keeping 252688750 ideals with weight <= 200, target excess is 1306678
  37. Sat Sep 27 21:30:02 2025 commencing in-memory singleton removal
  38. Sat Sep 27 21:30:05 2025 begin with 256189401 relations and 252688750 unique ideals
  39. Sat Sep 27 21:30:21 2025 reduce to 150573841 relations and 135221022 ideals in 17 passes
  40. Sat Sep 27 21:30:21 2025 max relations containing the same ideal: 148
  41. Sat Sep 27 21:31:08 2025 removing 14358188 relations and 12358188 ideals in 2000000 cliques
  42. Sat Sep 27 21:31:13 2025 commencing in-memory singleton removal
  43. Sat Sep 27 21:31:15 2025 begin with 136215653 relations and 135221022 unique ideals
  44. Sat Sep 27 21:31:20 2025 reduce to 135011959 relations and 121636889 ideals in 9 passes
  45. Sat Sep 27 21:31:20 2025 max relations containing the same ideal: 138
  46. Sat Sep 27 21:32:07 2025 removing 10932513 relations and 8932513 ideals in 2000000 cliques
  47. Sat Sep 27 21:32:12 2025 commencing in-memory singleton removal
  48. Sat Sep 27 21:32:14 2025 begin with 124079446 relations and 121636889 unique ideals
  49. Sat Sep 27 21:32:19 2025 reduce to 123284552 relations and 111896799 ideals in 9 passes
  50. Sat Sep 27 21:32:19 2025 max relations containing the same ideal: 127
  51. Sat Sep 27 21:32:56 2025 removing 9907212 relations and 7907212 ideals in 2000000 cliques
  52. Sat Sep 27 21:33:00 2025 commencing in-memory singleton removal
  53. Sat Sep 27 21:33:02 2025 begin with 113377340 relations and 111896799 unique ideals
  54. Sat Sep 27 21:33:07 2025 reduce to 112660939 relations and 103261726 ideals in 11 passes
  55. Sat Sep 27 21:33:07 2025 max relations containing the same ideal: 121
  56. Sat Sep 27 21:33:41 2025 removing 9398173 relations and 7398173 ideals in 2000000 cliques
  57. Sat Sep 27 21:33:45 2025 commencing in-memory singleton removal
  58. Sat Sep 27 21:33:47 2025 begin with 103262766 relations and 103261726 unique ideals
  59. Sat Sep 27 21:33:50 2025 reduce to 102557007 relations and 95145886 ideals in 8 passes
  60. Sat Sep 27 21:33:50 2025 max relations containing the same ideal: 117
  61. Sat Sep 27 21:34:23 2025 removing 9121865 relations and 7121865 ideals in 2000000 cliques
  62. Sat Sep 27 21:34:27 2025 commencing in-memory singleton removal
  63. Sat Sep 27 21:34:28 2025 begin with 93435142 relations and 95145886 unique ideals
  64. Sat Sep 27 21:34:31 2025 reduce to 92706981 relations and 87282927 ideals in 9 passes
  65. Sat Sep 27 21:34:31 2025 max relations containing the same ideal: 108
  66. Sat Sep 27 21:35:01 2025 removing 8979847 relations and 6979847 ideals in 2000000 cliques
  67. Sat Sep 27 21:35:05 2025 commencing in-memory singleton removal
  68. Sat Sep 27 21:35:06 2025 begin with 83727134 relations and 87282927 unique ideals
  69. Sat Sep 27 21:35:09 2025 reduce to 82943767 relations and 79504232 ideals in 9 passes
  70. Sat Sep 27 21:35:09 2025 max relations containing the same ideal: 99
  71. Sat Sep 27 21:35:35 2025 removing 8673035 relations and 6749247 ideals in 1923788 cliques
  72. Sat Sep 27 21:35:38 2025 commencing in-memory singleton removal
  73. Sat Sep 27 21:35:39 2025 begin with 74270732 relations and 79504232 unique ideals
  74. Sat Sep 27 21:35:42 2025 reduce to 73449073 relations and 71916057 ideals in 10 passes
  75. Sat Sep 27 21:35:42 2025 max relations containing the same ideal: 92
  76. Sat Sep 27 21:36:05 2025 removing 174106 relations and 156837 ideals in 17269 cliques
  77. Sat Sep 27 21:36:07 2025 commencing in-memory singleton removal
  78. Sat Sep 27 21:36:08 2025 begin with 73274967 relations and 71916057 unique ideals
  79. Sat Sep 27 21:36:09 2025 reduce to 73274664 relations and 71758917 ideals in 5 passes
  80. Sat Sep 27 21:36:09 2025 max relations containing the same ideal: 92
  81. Sat Sep 27 21:36:18 2025 relations with 0 large ideals: 103918
  82. Sat Sep 27 21:36:18 2025 relations with 1 large ideals: 18928
  83. Sat Sep 27 21:36:18 2025 relations with 2 large ideals: 230746
  84. Sat Sep 27 21:36:18 2025 relations with 3 large ideals: 1554953
  85. Sat Sep 27 21:36:18 2025 relations with 4 large ideals: 5851325
  86. Sat Sep 27 21:36:18 2025 relations with 5 large ideals: 13344754
  87. Sat Sep 27 21:36:18 2025 relations with 6 large ideals: 21304667
  88. Sat Sep 27 21:36:18 2025 relations with 7+ large ideals: 30865373
  89. Sat Sep 27 21:36:18 2025 commencing 2-way merge
  90. Sat Sep 27 21:36:53 2025 reduce to 46144918 relation sets and 44629171 unique ideals
  91. Sat Sep 27 21:36:53 2025 commencing full merge
  92. Sat Sep 27 21:45:52 2025 memory use: 5458.6 MB
  93. Sat Sep 27 21:45:56 2025 found 24523427 cycles, need 24317371
  94. Sat Sep 27 21:46:03 2025 weight of 24317371 cycles is about 1702371878 (70.01/cycle)
  95. Sat Sep 27 21:46:03 2025 distribution of cycle lengths:
  96. Sat Sep 27 21:46:03 2025 1 relations: 3579604
  97. Sat Sep 27 21:46:03 2025 2 relations: 3121619
  98. Sat Sep 27 21:46:03 2025 3 relations: 2863625
  99. Sat Sep 27 21:46:03 2025 4 relations: 2588326
  100. Sat Sep 27 21:46:03 2025 5 relations: 2289268
  101. Sat Sep 27 21:46:03 2025 6 relations: 2026209
  102. Sat Sep 27 21:46:03 2025 7 relations: 1759737
  103. Sat Sep 27 21:46:03 2025 8 relations: 1477784
  104. Sat Sep 27 21:46:03 2025 9 relations: 1202279
  105. Sat Sep 27 21:46:03 2025 10+ relations: 3408920
  106. Sat Sep 27 21:46:03 2025 heaviest cycle: 23 relations
  107. Sat Sep 27 21:46:12 2025 commencing cycle optimization
  108. Sat Sep 27 21:46:42 2025 start with 128403891 relations
  109. Sat Sep 27 21:49:06 2025 pruned 2715848 relations
  110. Sat Sep 27 21:49:07 2025 memory use: 4292.5 MB
  111. Sat Sep 27 21:49:07 2025 distribution of cycle lengths:
  112. Sat Sep 27 21:49:07 2025 1 relations: 3579604
  113. Sat Sep 27 21:49:07 2025 2 relations: 3175445
  114. Sat Sep 27 21:49:07 2025 3 relations: 2948589
  115. Sat Sep 27 21:49:07 2025 4 relations: 2640785
  116. Sat Sep 27 21:49:07 2025 5 relations: 2342103
  117. Sat Sep 27 21:49:07 2025 6 relations: 2053729
  118. Sat Sep 27 21:49:07 2025 7 relations: 1776108
  119. Sat Sep 27 21:49:07 2025 8 relations: 1474006
  120. Sat Sep 27 21:49:07 2025 9 relations: 1187119
  121. Sat Sep 27 21:49:07 2025 10+ relations: 3139883
  122. Sat Sep 27 21:49:07 2025 heaviest cycle: 23 relations
  123. Sat Sep 27 21:49:48 2025 RelProcTime: 1963
  124. Sat Sep 27 21:49:49 2025 elapsed time 00:32:45
  125. Sat Sep 27 21:49:50 2025
  126. Sat Sep 27 21:49:50 2025
  127. Sat Sep 27 21:49:50 2025 Msieve v. 1.54 (SVN Unversioned directory)
  128. Sat Sep 27 21:49:50 2025 random seeds: 7a43a749 13809074
  129. Sat Sep 27 21:49:50 2025 MPI process 0 of 1
  130. Sat Sep 27 21:49:50 2025 Using 46 OpenMP threads
  131. Sat Sep 27 21:49:50 2025 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits)
  132. Sat Sep 27 21:49:51 2025 no P-1/P+1/ECM available, skipping
  133. Sat Sep 27 21:49:51 2025 commencing number field sieve (254-digit input)
  134. Sat Sep 27 21:49:51 2025 R0: 21003569655917737906828913229119567415723332757300362
  135. Sat Sep 27 21:49:51 2025 R1: -144926083421576455388993731
  136. Sat Sep 27 21:49:51 2025 A0: 1
  137. Sat Sep 27 21:49:51 2025 A1: 3
  138. Sat Sep 27 21:49:51 2025 A2: -3
  139. Sat Sep 27 21:49:51 2025 A3: -4
  140. Sat Sep 27 21:49:51 2025 A4: 1
  141. Sat Sep 27 21:49:51 2025 A5: 1
  142. Sat Sep 27 21:49:51 2025 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5
  143. Sat Sep 27 21:49:51 2025
  144. Sat Sep 27 21:49:51 2025 commencing linear algebra
  145. Sat Sep 27 21:49:51 2025 using VBITS=256
  146. Sat Sep 27 21:49:51 2025 stopping after matrix build
  147. Sat Sep 27 21:49:51 2025 initialized process (0,0) of 1 x 1 grid
  148. Sat Sep 27 21:49:53 2025 read 24317371 cycles
  149. Sat Sep 27 21:50:24 2025 cycles contain 72056107 unique relations
  150. Sat Sep 27 21:50:55 2025 read 72056107 relations
  151. Sat Sep 27 21:51:00 2025 using 20 quadratic characters above 4294917295
  152. Sat Sep 27 21:51:09 2025 building initial matrix
  153. Sat Sep 27 22:00:22 2025 memory use: 9025.1 MB
  154. Sat Sep 27 22:00:39 2025 read 24317371 cycles
  155. Sat Sep 27 22:00:41 2025 matrix is 24317191 x 24317371 (7342.8 MB) with weight 2101613598 (86.42/col)
  156. Sat Sep 27 22:00:41 2025 sparse part has weight 1657390589 (68.16/col)
  157. Sat Sep 27 22:04:23 2025 filtering completed in 2 passes
  158. Sat Sep 27 22:04:26 2025 matrix is 24295662 x 24295825 (7341.4 MB) with weight 2101088350 (86.48/col)
  159. Sat Sep 27 22:04:26 2025 sparse part has weight 1657238476 (68.21/col)
  160. Sat Sep 27 22:05:12 2025 BLanczosTime: 921
  161. Sat Sep 27 22:05:12 2025 elapsed time 00:15:22
  162. Sat Sep 27 22:06:10 2025
  163. Sat Sep 27 22:06:10 2025
  164. Sat Sep 27 22:06:10 2025 Msieve v. 1.54 (SVN Unversioned directory)
  165. Sat Sep 27 22:06:10 2025 random seeds: c8c5a511 aeb4edd1
  166. Sat Sep 27 22:06:10 2025 MPI process 0 of 4
  167. Sat Sep 27 22:06:10 2025 Using 15 OpenMP threads
  168. Sat Sep 27 22:06:10 2025 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits)
  169. Sat Sep 27 22:06:10 2025 no P-1/P+1/ECM available, skipping
  170. Sat Sep 27 22:06:10 2025 commencing number field sieve (254-digit input)
  171. Sat Sep 27 22:06:10 2025 R0: 21003569655917737906828913229119567415723332757300362
  172. Sat Sep 27 22:06:10 2025 R1: -144926083421576455388993731
  173. Sat Sep 27 22:06:10 2025 A0: 1
  174. Sat Sep 27 22:06:10 2025 A1: 3
  175. Sat Sep 27 22:06:10 2025 A2: -3
  176. Sat Sep 27 22:06:10 2025 A3: -4
  177. Sat Sep 27 22:06:10 2025 A4: 1
  178. Sat Sep 27 22:06:10 2025 A5: 1
  179. Sat Sep 27 22:06:10 2025 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5
  180. Sat Sep 27 22:06:10 2025
  181. Sat Sep 27 22:06:10 2025 commencing linear algebra
  182. Sat Sep 27 22:06:10 2025 using VBITS=256
  183. Sat Sep 27 22:06:10 2025 skipping matrix build
  184. Sat Sep 27 22:06:10 2025 initialized process (0,0) of 2 x 2 grid
  185. Sat Sep 27 22:06:18 2025 matrix starts at (0, 0)
  186. Sat Sep 27 22:06:19 2025 matrix is 12147951 x 12147817 (2226.9 MB) with weight 672074340 (55.32/col)
  187. Sat Sep 27 22:06:19 2025 sparse part has weight 450152859 (37.06/col)
  188. Sat Sep 27 22:06:19 2025 saving the first 240 matrix rows for later
  189. Sat Sep 27 22:06:20 2025 matrix includes 256 packed rows
  190. Sat Sep 27 22:06:22 2025 matrix is 12147711 x 12147817 (2077.7 MB) with weight 378559562 (31.16/col)
  191. Sat Sep 27 22:06:22 2025 sparse part has weight 350282023 (28.83/col)
  192. Sat Sep 27 22:06:22 2025 using GPU 0 (NVIDIA H200)
  193. Sat Sep 27 22:06:22 2025 selected card has CUDA arch 9.0
  194. Sat Sep 27 22:06:46 2025 commencing Lanczos iteration
  195. Sat Sep 27 22:06:47 2025 memory use: 4989.5 MB
  196. Sat Sep 27 22:06:52 2025 linear algebra at 0.1%, ETA 1h 6m
  197. Sat Sep 27 22:06:59 2025 checking every 380000 dimensions, checkpointing every 23180000 dimensions
  198. Sat Sep 27 23:07:26 2025 lanczos halted after 95189 iterations (dim = 24295420)
  199. Sat Sep 27 23:08:48 2025 recovered 33 nontrivial dependencies
  200. Sat Sep 27 23:08:49 2025 BLanczosTime: 3759
  201. Sat Sep 27 23:08:49 2025 elapsed time 01:02:39
  202. Sat Sep 27 23:09:04 2025
  203. Sat Sep 27 23:09:04 2025
  204. Sat Sep 27 23:09:04 2025 Msieve v. 1.54 (SVN Unversioned directory)
  205. Sat Sep 27 23:09:04 2025 random seeds: 890bfaf2 48f98644
  206. Sat Sep 27 23:09:04 2025 MPI process 0 of 1
  207. Sat Sep 27 23:09:04 2025 Using 32 OpenMP threads
  208. Sat Sep 27 23:09:04 2025 factoring 28392538811806865497081330111814770045155779653544419014039515659496199018354270895133642990307173400844769019293558305111435250084037627098749461197094513292231157832235532661546690534742467752316391129627034944971316641292753824964556343828020587355201 (254 digits)
  209. Sat Sep 27 23:09:05 2025 no P-1/P+1/ECM available, skipping
  210. Sat Sep 27 23:09:05 2025 commencing number field sieve (254-digit input)
  211. Sat Sep 27 23:09:05 2025 R0: 21003569655917737906828913229119567415723332757300362
  212. Sat Sep 27 23:09:05 2025 R1: -144926083421576455388993731
  213. Sat Sep 27 23:09:05 2025 A0: 1
  214. Sat Sep 27 23:09:05 2025 A1: 3
  215. Sat Sep 27 23:09:05 2025 A2: -3
  216. Sat Sep 27 23:09:05 2025 A3: -4
  217. Sat Sep 27 23:09:05 2025 A4: 1
  218. Sat Sep 27 23:09:05 2025 A5: 1
  219. Sat Sep 27 23:09:05 2025 skew 1.50, size 9.220e-18, alpha 2.379, combined = 4.039e-14 rroots = 5
  220. Sat Sep 27 23:09:05 2025
  221. Sat Sep 27 23:09:05 2025 commencing square root phase
  222. Sat Sep 27 23:09:05 2025 reading relations for dependency 1
  223. Sat Sep 27 23:09:08 2025 read 12149375 cycles
  224. Sat Sep 27 23:09:21 2025 cycles contain 36027578 unique relations
  225. Sat Sep 27 23:09:43 2025 read 36027578 relations
  226. Sat Sep 27 23:11:32 2025 multiplying 36027578 relations
  227. Sat Sep 27 23:12:52 2025 multiply complete, coefficients have about 946.32 million bits
  228. Sat Sep 27 23:12:55 2025 initial square root is modulo 308978783
  229. Sat Sep 27 23:17:07 2025 sqrtTime: 482
  230. Sat Sep 27 23:17:07 2025 p78 factor: 312729618962166180616831818267309773261031234712344202414567477902095736124009
  231. Sat Sep 27 23:17:07 2025 p176 factor: 90789413890603613673452937866180655864551278920797796109343301049156676550888185356561749699172195684357461188010040860788936693204357124467124982134469642882733020373436657689
  232. Sat Sep 27 23:17:07 2025 elapsed time 00:08:03
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