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  1. Tue Dec 23 11:21:16 2025
  2. Tue Dec 23 11:21:16 2025
  3. Tue Dec 23 11:21:16 2025 Msieve v. 1.54 (SVN unknown)
  4. Tue Dec 23 11:21:16 2025 random seeds: 61de889d 88148ce2
  5. Tue Dec 23 11:21:16 2025 factoring 277930370752627823974805432717719321061866137302514593432192722361640986108203332149595876065444182688105332898527814830266250468619947096686076359866370597420163062109867769036704189233961833013790543428789 (207 digits)
  6. Tue Dec 23 11:21:17 2025 no P-1/P+1/ECM available, skipping
  7. Tue Dec 23 11:21:17 2025 commencing number field sieve (207-digit input)
  8. Tue Dec 23 11:21:17 2025 R0: 1
  9. Tue Dec 23 11:21:17 2025 R1: -7019817556558601373328951911108806213
  10. Tue Dec 23 11:21:17 2025 A0: -2237
  11. Tue Dec 23 11:21:17 2025 A1: 0
  12. Tue Dec 23 11:21:17 2025 A2: 0
  13. Tue Dec 23 11:21:17 2025 A3: 0
  14. Tue Dec 23 11:21:17 2025 A4: 0
  15. Tue Dec 23 11:21:17 2025 A5: 0
  16. Tue Dec 23 11:21:17 2025 A6: 1
  17. Tue Dec 23 11:21:17 2025 skew 2.83, size 3.826e-11, alpha -0.207, combined = 1.694e-12 rroots = 2
  18. Tue Dec 23 11:21:17 2025
  19. Tue Dec 23 11:21:17 2025 commencing relation filtering
  20. Tue Dec 23 11:21:17 2025 setting target matrix density to 100.0
  21. Tue Dec 23 11:21:17 2025 estimated available RAM is 7902.4 MB
  22. Tue Dec 23 11:21:17 2025 commencing duplicate removal, pass 1
  23. Tue Dec 23 11:28:33 2025 skipped 1 relations with b > 2^32
  24. Tue Dec 23 11:28:33 2025 found 2741999 hash collisions in 78608546 relations
  25. Tue Dec 23 11:28:47 2025 added 1218149 free relations
  26. Tue Dec 23 11:28:47 2025 commencing duplicate removal, pass 2
  27. Tue Dec 23 11:29:09 2025 found 0 duplicates and 79826695 unique relations
  28. Tue Dec 23 11:29:09 2025 memory use: 253.2 MB
  29. Tue Dec 23 11:29:09 2025 reading ideals above 47906816
  30. Tue Dec 23 11:29:09 2025 commencing singleton removal, initial pass
  31. Tue Dec 23 11:34:29 2025 memory use: 1506.0 MB
  32. Tue Dec 23 11:34:29 2025 reading all ideals from disk
  33. Tue Dec 23 11:34:32 2025 memory use: 1417.8 MB
  34. Tue Dec 23 11:34:34 2025 commencing in-memory singleton removal
  35. Tue Dec 23 11:34:37 2025 begin with 79826695 relations and 76257491 unique ideals
  36. Tue Dec 23 11:35:07 2025 reduce to 38827159 relations and 29391152 ideals in 22 passes
  37. Tue Dec 23 11:35:07 2025 max relations containing the same ideal: 37
  38. Tue Dec 23 11:35:09 2025 reading ideals above 720000
  39. Tue Dec 23 11:35:09 2025 commencing singleton removal, initial pass
  40. Tue Dec 23 11:38:23 2025 memory use: 753.0 MB
  41. Tue Dec 23 11:38:24 2025 reading all ideals from disk
  42. Tue Dec 23 11:38:26 2025 memory use: 1414.2 MB
  43. Tue Dec 23 11:38:29 2025 keeping 34952467 ideals with weight <= 200, target excess is 202005
  44. Tue Dec 23 11:38:32 2025 commencing in-memory singleton removal
  45. Tue Dec 23 11:38:35 2025 begin with 38827159 relations and 34952467 unique ideals
  46. Tue Dec 23 11:38:55 2025 reduce to 38824718 relations and 34950026 ideals in 8 passes
  47. Tue Dec 23 11:38:55 2025 max relations containing the same ideal: 200
  48. Tue Dec 23 11:39:10 2025 removing 3385345 relations and 2985345 ideals in 400000 cliques
  49. Tue Dec 23 11:39:11 2025 commencing in-memory singleton removal
  50. Tue Dec 23 11:39:13 2025 begin with 35439373 relations and 34950026 unique ideals
  51. Tue Dec 23 11:39:35 2025 reduce to 35179733 relations and 31701237 ideals in 10 passes
  52. Tue Dec 23 11:39:35 2025 max relations containing the same ideal: 195
  53. Tue Dec 23 11:39:47 2025 removing 2521421 relations and 2121421 ideals in 400000 cliques
  54. Tue Dec 23 11:39:48 2025 commencing in-memory singleton removal
  55. Tue Dec 23 11:39:50 2025 begin with 32658312 relations and 31701237 unique ideals
  56. Tue Dec 23 11:40:05 2025 reduce to 32504556 relations and 29424132 ideals in 9 passes
  57. Tue Dec 23 11:40:05 2025 max relations containing the same ideal: 185
  58. Tue Dec 23 11:40:15 2025 removing 2248872 relations and 1848872 ideals in 400000 cliques
  59. Tue Dec 23 11:40:16 2025 commencing in-memory singleton removal
  60. Tue Dec 23 11:40:18 2025 begin with 30255684 relations and 29424132 unique ideals
  61. Tue Dec 23 11:40:31 2025 reduce to 30125957 relations and 27443917 ideals in 8 passes
  62. Tue Dec 23 11:40:31 2025 max relations containing the same ideal: 177
  63. Tue Dec 23 11:40:40 2025 removing 2100438 relations and 1700438 ideals in 400000 cliques
  64. Tue Dec 23 11:40:41 2025 commencing in-memory singleton removal
  65. Tue Dec 23 11:40:42 2025 begin with 28025519 relations and 27443917 unique ideals
  66. Tue Dec 23 11:40:54 2025 reduce to 27904766 relations and 25621238 ideals in 8 passes
  67. Tue Dec 23 11:40:54 2025 max relations containing the same ideal: 169
  68. Tue Dec 23 11:41:03 2025 removing 2010897 relations and 1610897 ideals in 400000 cliques
  69. Tue Dec 23 11:41:04 2025 commencing in-memory singleton removal
  70. Tue Dec 23 11:41:05 2025 begin with 25893869 relations and 25621238 unique ideals
  71. Tue Dec 23 11:41:15 2025 reduce to 25777394 relations and 23892381 ideals in 7 passes
  72. Tue Dec 23 11:41:15 2025 max relations containing the same ideal: 162
  73. Tue Dec 23 11:41:23 2025 removing 1945226 relations and 1545226 ideals in 400000 cliques
  74. Tue Dec 23 11:41:23 2025 commencing in-memory singleton removal
  75. Tue Dec 23 11:41:25 2025 begin with 23832168 relations and 23892381 unique ideals
  76. Tue Dec 23 11:41:35 2025 reduce to 23716749 relations and 22230179 ideals in 8 passes
  77. Tue Dec 23 11:41:35 2025 max relations containing the same ideal: 154
  78. Tue Dec 23 11:41:42 2025 removing 1898773 relations and 1498773 ideals in 400000 cliques
  79. Tue Dec 23 11:41:43 2025 commencing in-memory singleton removal
  80. Tue Dec 23 11:41:44 2025 begin with 21817976 relations and 22230179 unique ideals
  81. Tue Dec 23 11:41:53 2025 reduce to 21700623 relations and 20612416 ideals in 8 passes
  82. Tue Dec 23 11:41:53 2025 max relations containing the same ideal: 141
  83. Tue Dec 23 11:42:00 2025 removing 1864822 relations and 1464822 ideals in 400000 cliques
  84. Tue Dec 23 11:42:00 2025 commencing in-memory singleton removal
  85. Tue Dec 23 11:42:01 2025 begin with 19835801 relations and 20612416 unique ideals
  86. Tue Dec 23 11:42:09 2025 reduce to 19712598 relations and 19022497 ideals in 8 passes
  87. Tue Dec 23 11:42:09 2025 max relations containing the same ideal: 135
  88. Tue Dec 23 11:42:16 2025 removing 1840224 relations and 1440224 ideals in 400000 cliques
  89. Tue Dec 23 11:42:16 2025 commencing in-memory singleton removal
  90. Tue Dec 23 11:42:17 2025 begin with 17872374 relations and 19022497 unique ideals
  91. Tue Dec 23 11:42:25 2025 reduce to 17741955 relations and 17449626 ideals in 8 passes
  92. Tue Dec 23 11:42:25 2025 max relations containing the same ideal: 128
  93. Tue Dec 23 11:42:30 2025 removing 377590 relations and 319587 ideals in 58003 cliques
  94. Tue Dec 23 11:42:31 2025 commencing in-memory singleton removal
  95. Tue Dec 23 11:42:31 2025 begin with 17364365 relations and 17449626 unique ideals
  96. Tue Dec 23 11:42:36 2025 reduce to 17359330 relations and 17124985 ideals in 5 passes
  97. Tue Dec 23 11:42:36 2025 max relations containing the same ideal: 125
  98. Tue Dec 23 11:42:39 2025 relations with 0 large ideals: 7560
  99. Tue Dec 23 11:42:39 2025 relations with 1 large ideals: 1484
  100. Tue Dec 23 11:42:39 2025 relations with 2 large ideals: 16419
  101. Tue Dec 23 11:42:39 2025 relations with 3 large ideals: 148664
  102. Tue Dec 23 11:42:39 2025 relations with 4 large ideals: 743983
  103. Tue Dec 23 11:42:39 2025 relations with 5 large ideals: 2204045
  104. Tue Dec 23 11:42:39 2025 relations with 6 large ideals: 4050416
  105. Tue Dec 23 11:42:39 2025 relations with 7+ large ideals: 10186759
  106. Tue Dec 23 11:42:39 2025 commencing 2-way merge
  107. Tue Dec 23 11:42:47 2025 reduce to 10645070 relation sets and 10410725 unique ideals
  108. Tue Dec 23 11:42:47 2025 commencing full merge
  109. Tue Dec 23 11:45:47 2025 memory use: 1426.9 MB
  110. Tue Dec 23 11:45:48 2025 found 5050893 cycles, need 5032925
  111. Tue Dec 23 11:45:49 2025 weight of 5032925 cycles is about 503552721 (100.05/cycle)
  112. Tue Dec 23 11:45:49 2025 distribution of cycle lengths:
  113. Tue Dec 23 11:45:49 2025 1 relations: 397021
  114. Tue Dec 23 11:45:49 2025 2 relations: 426634
  115. Tue Dec 23 11:45:49 2025 3 relations: 433388
  116. Tue Dec 23 11:45:49 2025 4 relations: 412836
  117. Tue Dec 23 11:45:49 2025 5 relations: 395525
  118. Tue Dec 23 11:45:49 2025 6 relations: 372434
  119. Tue Dec 23 11:45:49 2025 7 relations: 347536
  120. Tue Dec 23 11:45:49 2025 8 relations: 321233
  121. Tue Dec 23 11:45:49 2025 9 relations: 293785
  122. Tue Dec 23 11:45:49 2025 10+ relations: 1632533
  123. Tue Dec 23 11:45:49 2025 heaviest cycle: 28 relations
  124. Tue Dec 23 11:45:50 2025 commencing cycle optimization
  125. Tue Dec 23 11:45:57 2025 start with 38929713 relations
  126. Tue Dec 23 11:46:54 2025 pruned 1337831 relations
  127. Tue Dec 23 11:46:54 2025 memory use: 1117.9 MB
  128. Tue Dec 23 11:46:54 2025 distribution of cycle lengths:
  129. Tue Dec 23 11:46:54 2025 1 relations: 397021
  130. Tue Dec 23 11:46:54 2025 2 relations: 435392
  131. Tue Dec 23 11:46:54 2025 3 relations: 448732
  132. Tue Dec 23 11:46:54 2025 4 relations: 425600
  133. Tue Dec 23 11:46:54 2025 5 relations: 409390
  134. Tue Dec 23 11:46:54 2025 6 relations: 384030
  135. Tue Dec 23 11:46:54 2025 7 relations: 358960
  136. Tue Dec 23 11:46:54 2025 8 relations: 329352
  137. Tue Dec 23 11:46:54 2025 9 relations: 301225
  138. Tue Dec 23 11:46:54 2025 10+ relations: 1543223
  139. Tue Dec 23 11:46:54 2025 heaviest cycle: 28 relations
  140. Tue Dec 23 11:47:01 2025 RelProcTime: 1544
  141. Tue Dec 23 11:47:01 2025
  142. Tue Dec 23 11:47:01 2025 commencing linear algebra
  143. Tue Dec 23 11:47:01 2025 using VBITS=512
  144. Tue Dec 23 11:47:01 2025 read 5032925 cycles
  145. Tue Dec 23 11:47:09 2025 cycles contain 17214416 unique relations
  146. Tue Dec 23 11:48:09 2025 read 17214416 relations
  147. Tue Dec 23 11:48:25 2025 using 20 quadratic characters above 4294917295
  148. Tue Dec 23 11:49:32 2025 building initial matrix
  149. Tue Dec 23 11:52:02 2025 memory use: 2134.4 MB
  150. Tue Dec 23 11:52:04 2025 read 5032925 cycles
  151. Tue Dec 23 11:52:05 2025 matrix is 5032748 x 5032925 (2029.4 MB) with weight 599227550 (119.06/col)
  152. Tue Dec 23 11:52:05 2025 sparse part has weight 476622322 (94.70/col)
  153. Tue Dec 23 11:52:43 2025 filtering completed in 2 passes
  154. Tue Dec 23 11:52:44 2025 matrix is 5032540 x 5032699 (2029.3 MB) with weight 599220198 (119.07/col)
  155. Tue Dec 23 11:52:44 2025 sparse part has weight 476620412 (94.70/col)
  156. Tue Dec 23 11:52:55 2025 matrix starts at (0, 0)
  157. Tue Dec 23 11:52:56 2025 matrix is 5032540 x 5032699 (2029.3 MB) with weight 599220198 (119.07/col)
  158. Tue Dec 23 11:52:56 2025 sparse part has weight 476620412 (94.70/col)
  159. Tue Dec 23 11:52:56 2025 saving the first 496 matrix rows for later
  160. Tue Dec 23 11:52:57 2025 matrix includes 512 packed rows
  161. Tue Dec 23 11:53:00 2025 matrix is 5032044 x 5032699 (1918.1 MB) with weight 405860704 (80.64/col)
  162. Tue Dec 23 11:53:00 2025 sparse part has weight 382046275 (75.91/col)
  163. Tue Dec 23 11:53:00 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  164. Tue Dec 23 11:53:00 2025 selected card has CUDA arch 8.6
  165. Tue Dec 23 11:53:34 2025 commencing Lanczos iteration
  166. Tue Dec 23 11:53:35 2025 memory use: 5449.0 MB
  167. Tue Dec 23 11:53:52 2025 linear algebra at 0.3%, ETA 1h32m
  168. Tue Dec 23 11:53:52 2025 checkpointing every 3360000 dimensions
  169. Tue Dec 23 13:24:40 2025 lanczos halted after 9845 iterations (dim = 5032044)
  170. Tue Dec 23 13:25:55 2025 recovered 36 nontrivial dependencies
  171. Tue Dec 23 13:25:55 2025 BLanczosTime: 5934
  172. Tue Dec 23 13:25:55 2025
  173. Tue Dec 23 13:25:55 2025 commencing square root phase
  174. Tue Dec 23 13:25:55 2025 handling dependencies 1 to 64
  175. Tue Dec 23 13:25:55 2025 reading relations for dependency 1
  176. Tue Dec 23 13:25:56 2025 read 2518086 cycles
  177. Tue Dec 23 13:25:59 2025 cycles contain 8612678 unique relations
  178. Tue Dec 23 13:26:33 2025 read 8612678 relations
  179. Tue Dec 23 13:27:05 2025 multiplying 8612678 relations
  180. Tue Dec 23 13:31:11 2025 multiply complete, coefficients have about 214.88 million bits
  181. Tue Dec 23 13:31:12 2025 initial square root is modulo 51453763
  182. Tue Dec 23 13:35:39 2025 GCD is 1, no factor found
  183. Tue Dec 23 13:35:39 2025 reading relations for dependency 2
  184. Tue Dec 23 13:35:40 2025 read 2516581 cycles
  185. Tue Dec 23 13:35:43 2025 cycles contain 8608406 unique relations
  186. Tue Dec 23 13:36:17 2025 read 8608406 relations
  187. Tue Dec 23 13:36:47 2025 multiplying 8608406 relations
  188. Tue Dec 23 13:40:54 2025 multiply complete, coefficients have about 214.77 million bits
  189. Tue Dec 23 13:40:55 2025 initial square root is modulo 50995303
  190. Tue Dec 23 13:45:23 2025 GCD is N, no factor found
  191. Tue Dec 23 13:45:23 2025 reading relations for dependency 3
  192. Tue Dec 23 13:45:24 2025 read 2513880 cycles
  193. Tue Dec 23 13:45:28 2025 cycles contain 8600598 unique relations
  194. Tue Dec 23 13:46:08 2025 read 8600598 relations
  195. Tue Dec 23 13:46:40 2025 multiplying 8600598 relations
  196. Tue Dec 23 13:50:49 2025 multiply complete, coefficients have about 214.57 million bits
  197. Tue Dec 23 13:50:50 2025 initial square root is modulo 50175997
  198. Tue Dec 23 13:55:24 2025 GCD is N, no factor found
  199. Tue Dec 23 13:55:24 2025 reading relations for dependency 4
  200. Tue Dec 23 13:55:25 2025 read 2517858 cycles
  201. Tue Dec 23 13:55:28 2025 cycles contain 8610326 unique relations
  202. Tue Dec 23 13:56:02 2025 read 8610326 relations
  203. Tue Dec 23 13:56:32 2025 multiplying 8610326 relations
  204. Tue Dec 23 14:00:40 2025 multiply complete, coefficients have about 214.82 million bits
  205. Tue Dec 23 14:00:41 2025 initial square root is modulo 51192157
  206. Tue Dec 23 14:05:09 2025 GCD is 1, no factor found
  207. Tue Dec 23 14:05:09 2025 reading relations for dependency 5
  208. Tue Dec 23 14:05:10 2025 read 2516876 cycles
  209. Tue Dec 23 14:05:13 2025 cycles contain 8607452 unique relations
  210. Tue Dec 23 14:05:46 2025 read 8607452 relations
  211. Tue Dec 23 14:06:17 2025 multiplying 8607452 relations
  212. Tue Dec 23 14:10:23 2025 multiply complete, coefficients have about 214.75 million bits
  213. Tue Dec 23 14:10:24 2025 initial square root is modulo 50903533
  214. Tue Dec 23 14:14:51 2025 GCD is 1, no factor found
  215. Tue Dec 23 14:14:51 2025 reading relations for dependency 6
  216. Tue Dec 23 14:14:51 2025 read 2517739 cycles
  217. Tue Dec 23 14:14:55 2025 cycles contain 8607654 unique relations
  218. Tue Dec 23 14:15:28 2025 read 8607654 relations
  219. Tue Dec 23 14:15:59 2025 multiplying 8607654 relations
  220. Tue Dec 23 14:20:05 2025 multiply complete, coefficients have about 214.74 million bits
  221. Tue Dec 23 14:20:06 2025 initial square root is modulo 50885563
  222. Tue Dec 23 14:24:33 2025 GCD is N, no factor found
  223. Tue Dec 23 14:24:33 2025 reading relations for dependency 7
  224. Tue Dec 23 14:24:34 2025 read 2515815 cycles
  225. Tue Dec 23 14:24:37 2025 cycles contain 8604500 unique relations
  226. Tue Dec 23 14:25:11 2025 read 8604500 relations
  227. Tue Dec 23 14:25:42 2025 multiplying 8604500 relations
  228. Tue Dec 23 14:29:49 2025 multiply complete, coefficients have about 214.67 million bits
  229. Tue Dec 23 14:29:49 2025 initial square root is modulo 50569147
  230. Tue Dec 23 14:34:18 2025 sqrtTime: 4103
  231. Tue Dec 23 14:34:18 2025 p98 factor: 28241414199019881607985532391365363176672708406744436441901485124176014349221758200973951041503109
  232. Tue Dec 23 14:34:18 2025 p109 factor: 9841234181618050791391697790480121909250474082946760412943994218342685573510694927341263920561427740770801521
  233. Tue Dec 23 14:34:18 2025 elapsed time 03:13:02
  234.  
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