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May 28th, 2025
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  1. Wed May 28 18:13:38 2025
  2. Wed May 28 18:13:38 2025
  3. Wed May 28 18:13:38 2025 Msieve v. 1.54 (SVN unknown)
  4. Wed May 28 18:13:38 2025 random seeds: 51d51c3b 5065b54b
  5. Wed May 28 18:13:38 2025 factoring 637820979955386063511151430076070937084567723165380364655647745034338040096875587423596563020127890707204681470574578345680005199470200217797440330212598984388787068372125965226865197832992648085601 (198 digits)
  6. Wed May 28 18:13:39 2025 no P-1/P+1/ECM available, skipping
  7. Wed May 28 18:13:39 2025 commencing number field sieve (198-digit input)
  8. Wed May 28 18:13:39 2025 R0: 11533088023745572719197751699817193653
  9. Wed May 28 18:13:39 2025 R1: -1
  10. Wed May 28 18:13:39 2025 A0: 1
  11. Wed May 28 18:13:39 2025 A1: 1
  12. Wed May 28 18:13:39 2025 A2: 1
  13. Wed May 28 18:13:39 2025 A3: 1
  14. Wed May 28 18:13:39 2025 A4: 1
  15. Wed May 28 18:13:39 2025 A5: 1
  16. Wed May 28 18:13:39 2025 A6: 1
  17. Wed May 28 18:13:39 2025 skew 1.34, size 5.009e-11, alpha 2.428, combined = 2.057e-12 rroots = 0
  18. Wed May 28 18:13:39 2025
  19. Wed May 28 18:13:39 2025 commencing relation filtering
  20. Wed May 28 18:13:39 2025 setting target matrix density to 112.0
  21. Wed May 28 18:13:39 2025 estimated available RAM is 15954.4 MB
  22. Wed May 28 18:13:39 2025 commencing duplicate removal, pass 1
  23. Wed May 28 18:16:21 2025 error -15 reading relation 21941698
  24. Wed May 28 18:26:24 2025 skipped 10 relations with b > 2^32
  25. Wed May 28 18:26:24 2025 found 4921349 hash collisions in 106184505 relations
  26. Wed May 28 18:26:34 2025 added 2438534 free relations
  27. Wed May 28 18:26:34 2025 commencing duplicate removal, pass 2
  28. Wed May 28 18:27:13 2025 found 0 duplicates and 108623039 unique relations
  29. Wed May 28 18:27:13 2025 memory use: 261.2 MB
  30. Wed May 28 18:27:13 2025 reading ideals above 61014016
  31. Wed May 28 18:27:13 2025 commencing singleton removal, initial pass
  32. Wed May 28 18:39:06 2025 memory use: 2756.0 MB
  33. Wed May 28 18:39:06 2025 reading all ideals from disk
  34. Wed May 28 18:39:11 2025 memory use: 1912.0 MB
  35. Wed May 28 18:39:17 2025 commencing in-memory singleton removal
  36. Wed May 28 18:39:24 2025 begin with 108623038 relations and 84452669 unique ideals
  37. Wed May 28 18:40:30 2025 reduce to 76675585 relations and 49673957 ideals in 13 passes
  38. Wed May 28 18:40:30 2025 max relations containing the same ideal: 35
  39. Wed May 28 18:40:36 2025 reading ideals above 720000
  40. Wed May 28 18:40:36 2025 commencing singleton removal, initial pass
  41. Wed May 28 18:51:48 2025 memory use: 1506.0 MB
  42. Wed May 28 18:51:49 2025 reading all ideals from disk
  43. Wed May 28 18:51:56 2025 memory use: 2836.7 MB
  44. Wed May 28 18:52:08 2025 keeping 56522950 ideals with weight <= 200, target excess is 388440
  45. Wed May 28 18:52:19 2025 commencing in-memory singleton removal
  46. Wed May 28 18:52:28 2025 begin with 76675586 relations and 56522950 unique ideals
  47. Wed May 28 18:52:51 2025 reduce to 76675568 relations and 56522931 ideals in 3 passes
  48. Wed May 28 18:52:51 2025 max relations containing the same ideal: 200
  49. Wed May 28 18:53:36 2025 removing 7764189 relations and 5764189 ideals in 2000000 cliques
  50. Wed May 28 18:53:40 2025 commencing in-memory singleton removal
  51. Wed May 28 18:53:47 2025 begin with 68911379 relations and 56522931 unique ideals
  52. Wed May 28 18:54:45 2025 reduce to 68249710 relations and 50075652 ideals in 9 passes
  53. Wed May 28 18:54:45 2025 max relations containing the same ideal: 196
  54. Wed May 28 18:55:23 2025 removing 6342556 relations and 4342556 ideals in 2000000 cliques
  55. Wed May 28 18:55:27 2025 commencing in-memory singleton removal
  56. Wed May 28 18:55:33 2025 begin with 61907154 relations and 50075652 unique ideals
  57. Wed May 28 18:56:10 2025 reduce to 61448926 relations and 45261436 ideals in 7 passes
  58. Wed May 28 18:56:10 2025 max relations containing the same ideal: 181
  59. Wed May 28 18:56:41 2025 removing 5898604 relations and 3898604 ideals in 2000000 cliques
  60. Wed May 28 18:56:45 2025 commencing in-memory singleton removal
  61. Wed May 28 18:56:50 2025 begin with 55550322 relations and 45261436 unique ideals
  62. Wed May 28 18:57:23 2025 reduce to 55142607 relations and 40942675 ideals in 7 passes
  63. Wed May 28 18:57:23 2025 max relations containing the same ideal: 173
  64. Wed May 28 18:57:51 2025 removing 5676710 relations and 3676710 ideals in 2000000 cliques
  65. Wed May 28 18:57:54 2025 commencing in-memory singleton removal
  66. Wed May 28 18:57:59 2025 begin with 49465897 relations and 40942675 unique ideals
  67. Wed May 28 18:58:24 2025 reduce to 49071572 relations and 36858739 ideals in 6 passes
  68. Wed May 28 18:58:24 2025 max relations containing the same ideal: 158
  69. Wed May 28 18:58:50 2025 removing 5539412 relations and 3539412 ideals in 2000000 cliques
  70. Wed May 28 18:58:53 2025 commencing in-memory singleton removal
  71. Wed May 28 18:58:57 2025 begin with 43532160 relations and 36858739 unique ideals
  72. Wed May 28 18:59:22 2025 reduce to 43132689 relations and 32905600 ideals in 7 passes
  73. Wed May 28 18:59:22 2025 max relations containing the same ideal: 145
  74. Wed May 28 18:59:43 2025 removing 5453350 relations and 3453350 ideals in 2000000 cliques
  75. Wed May 28 18:59:46 2025 commencing in-memory singleton removal
  76. Wed May 28 18:59:50 2025 begin with 37679339 relations and 32905600 unique ideals
  77. Wed May 28 19:00:11 2025 reduce to 37257564 relations and 29013768 ideals in 6 passes
  78. Wed May 28 19:00:11 2025 max relations containing the same ideal: 130
  79. Wed May 28 19:00:33 2025 removing 5397041 relations and 3397041 ideals in 2000000 cliques
  80. Wed May 28 19:00:36 2025 commencing in-memory singleton removal
  81. Wed May 28 19:00:39 2025 begin with 31860523 relations and 29013768 unique ideals
  82. Wed May 28 19:00:59 2025 reduce to 31402014 relations and 25137333 ideals in 6 passes
  83. Wed May 28 19:00:59 2025 max relations containing the same ideal: 116
  84. Wed May 28 19:01:17 2025 removing 5360158 relations and 3360158 ideals in 2000000 cliques
  85. Wed May 28 19:01:20 2025 commencing in-memory singleton removal
  86. Wed May 28 19:01:23 2025 begin with 26041856 relations and 25137333 unique ideals
  87. Wed May 28 19:01:38 2025 reduce to 25525891 relations and 21233417 ideals in 7 passes
  88. Wed May 28 19:01:38 2025 max relations containing the same ideal: 102
  89. Wed May 28 19:01:50 2025 removing 5324091 relations and 3324091 ideals in 2000000 cliques
  90. Wed May 28 19:01:52 2025 commencing in-memory singleton removal
  91. Wed May 28 19:01:55 2025 begin with 20201800 relations and 21233417 unique ideals
  92. Wed May 28 19:02:07 2025 reduce to 19597800 relations and 17265616 ideals in 8 passes
  93. Wed May 28 19:02:07 2025 max relations containing the same ideal: 88
  94. Wed May 28 19:02:16 2025 removing 5010429 relations and 3128836 ideals in 1881593 cliques
  95. Wed May 28 19:02:18 2025 commencing in-memory singleton removal
  96. Wed May 28 19:02:19 2025 begin with 14587371 relations and 17265616 unique ideals
  97. Wed May 28 19:02:30 2025 reduce to 13877531 relations and 13369060 ideals in 9 passes
  98. Wed May 28 19:02:30 2025 max relations containing the same ideal: 68
  99. Wed May 28 19:02:37 2025 removing 302122 relations and 244242 ideals in 57880 cliques
  100. Wed May 28 19:02:39 2025 commencing in-memory singleton removal
  101. Wed May 28 19:02:40 2025 begin with 13575409 relations and 13369060 unique ideals
  102. Wed May 28 19:02:45 2025 reduce to 13568511 relations and 13117881 ideals in 5 passes
  103. Wed May 28 19:02:45 2025 max relations containing the same ideal: 66
  104. Wed May 28 19:02:48 2025 relations with 0 large ideals: 28929
  105. Wed May 28 19:02:48 2025 relations with 1 large ideals: 8539
  106. Wed May 28 19:02:48 2025 relations with 2 large ideals: 77201
  107. Wed May 28 19:02:48 2025 relations with 3 large ideals: 473691
  108. Wed May 28 19:02:48 2025 relations with 4 large ideals: 1553476
  109. Wed May 28 19:02:48 2025 relations with 5 large ideals: 2994856
  110. Wed May 28 19:02:48 2025 relations with 6 large ideals: 3571304
  111. Wed May 28 19:02:48 2025 relations with 7+ large ideals: 4860515
  112. Wed May 28 19:02:48 2025 commencing 2-way merge
  113. Wed May 28 19:02:56 2025 reduce to 9377745 relation sets and 8927115 unique ideals
  114. Wed May 28 19:02:56 2025 commencing full merge
  115. Wed May 28 19:07:11 2025 memory use: 1239.2 MB
  116. Wed May 28 19:07:12 2025 found 4288440 cycles, need 4275315
  117. Wed May 28 19:07:13 2025 weight of 4275315 cycles is about 479324443 (112.11/cycle)
  118. Wed May 28 19:07:13 2025 distribution of cycle lengths:
  119. Wed May 28 19:07:13 2025 1 relations: 155621
  120. Wed May 28 19:07:13 2025 2 relations: 238819
  121. Wed May 28 19:07:13 2025 3 relations: 302398
  122. Wed May 28 19:07:13 2025 4 relations: 328476
  123. Wed May 28 19:07:13 2025 5 relations: 342804
  124. Wed May 28 19:07:13 2025 6 relations: 341816
  125. Wed May 28 19:07:13 2025 7 relations: 330849
  126. Wed May 28 19:07:13 2025 8 relations: 308824
  127. Wed May 28 19:07:13 2025 9 relations: 283463
  128. Wed May 28 19:07:13 2025 10+ relations: 1642245
  129. Wed May 28 19:07:13 2025 heaviest cycle: 28 relations
  130. Wed May 28 19:07:15 2025 commencing cycle optimization
  131. Wed May 28 19:07:24 2025 start with 37806250 relations
  132. Wed May 28 19:08:52 2025 pruned 1953997 relations
  133. Wed May 28 19:08:52 2025 memory use: 954.8 MB
  134. Wed May 28 19:08:52 2025 distribution of cycle lengths:
  135. Wed May 28 19:08:52 2025 1 relations: 155621
  136. Wed May 28 19:08:52 2025 2 relations: 244483
  137. Wed May 28 19:08:52 2025 3 relations: 315553
  138. Wed May 28 19:08:52 2025 4 relations: 343213
  139. Wed May 28 19:08:52 2025 5 relations: 362723
  140. Wed May 28 19:08:52 2025 6 relations: 361544
  141. Wed May 28 19:08:52 2025 7 relations: 350606
  142. Wed May 28 19:08:52 2025 8 relations: 325830
  143. Wed May 28 19:08:52 2025 9 relations: 297143
  144. Wed May 28 19:08:52 2025 10+ relations: 1518599
  145. Wed May 28 19:08:52 2025 heaviest cycle: 28 relations
  146. Wed May 28 19:09:02 2025 RelProcTime: 3323
  147. Wed May 28 19:09:02 2025 elapsed time 00:55:24
  148. Wed May 28 19:34:30 2025
  149. Wed May 28 19:34:30 2025
  150. Wed May 28 19:34:30 2025 Msieve v. 1.54 (SVN unknown)
  151. Wed May 28 19:34:30 2025 random seeds: 54b97cac c20461a7
  152. Wed May 28 19:34:30 2025 factoring 637820979955386063511151430076070937084567723165380364655647745034338040096875587423596563020127890707204681470574578345680005199470200217797440330212598984388787068372125965226865197832992648085601 (198 digits)
  153. Wed May 28 19:34:31 2025 no P-1/P+1/ECM available, skipping
  154. Wed May 28 19:34:31 2025 commencing number field sieve (198-digit input)
  155. Wed May 28 19:34:31 2025 R0: 11533088023745572719197751699817193653
  156. Wed May 28 19:34:31 2025 R1: -1
  157. Wed May 28 19:34:31 2025 A0: 1
  158. Wed May 28 19:34:31 2025 A1: 1
  159. Wed May 28 19:34:31 2025 A2: 1
  160. Wed May 28 19:34:31 2025 A3: 1
  161. Wed May 28 19:34:31 2025 A4: 1
  162. Wed May 28 19:34:31 2025 A5: 1
  163. Wed May 28 19:34:31 2025 A6: 1
  164. Wed May 28 19:34:31 2025 skew 1.34, size 5.009e-11, alpha 2.428, combined = 2.057e-12 rroots = 0
  165. Wed May 28 19:34:31 2025
  166. Wed May 28 19:34:31 2025 commencing linear algebra
  167. Wed May 28 19:34:31 2025 using VBITS=256
  168. Wed May 28 19:34:31 2025 read 4275315 cycles
  169. Wed May 28 19:34:41 2025 cycles contain 13352016 unique relations
  170. Wed May 28 19:35:45 2025 read 13352016 relations
  171. Wed May 28 19:36:11 2025 using 20 quadratic characters above 4294917295
  172. Wed May 28 19:37:06 2025 building initial matrix
  173. Wed May 28 19:40:06 2025 memory use: 1643.1 MB
  174. Wed May 28 19:40:08 2025 read 4275315 cycles
  175. Wed May 28 19:40:09 2025 matrix is 4275138 x 4275315 (1878.4 MB) with weight 535443823 (125.24/col)
  176. Wed May 28 19:40:09 2025 sparse part has weight 445391894 (104.18/col)
  177. Wed May 28 19:41:04 2025 filtering completed in 2 passes
  178. Wed May 28 19:41:05 2025 matrix is 4275045 x 4275209 (1878.4 MB) with weight 535440123 (125.24/col)
  179. Wed May 28 19:41:05 2025 sparse part has weight 445390524 (104.18/col)
  180. Wed May 28 19:41:16 2025 matrix starts at (0, 0)
  181. Wed May 28 19:41:17 2025 matrix is 4275045 x 4275209 (1878.4 MB) with weight 535440123 (125.24/col)
  182. Wed May 28 19:41:17 2025 sparse part has weight 445390524 (104.18/col)
  183. Wed May 28 19:41:17 2025 saving the first 240 matrix rows for later
  184. Wed May 28 19:41:18 2025 matrix includes 256 packed rows
  185. Wed May 28 19:41:20 2025 matrix is 4274805 x 4275209 (1715.1 MB) with weight 403707510 (94.43/col)
  186. Wed May 28 19:41:20 2025 sparse part has weight 381208444 (89.17/col)
  187. Wed May 28 19:41:21 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  188. Wed May 28 19:41:21 2025 selected card has CUDA arch 8.6
  189. Wed May 28 19:41:56 2025 commencing Lanczos iteration
  190. Wed May 28 19:41:56 2025 memory use: 4001.1 MB
  191. Wed May 28 19:42:16 2025 linear algebra at 0.2%, ETA 3h 5m
  192. Wed May 28 19:42:16 2025 checkpointing every 1430000 dimensions
  193. Wed May 28 21:08:18 2025 lanczos halted after 16750 iterations (dim = 4274799)
  194. Wed May 28 21:08:46 2025 recovered 34 nontrivial dependencies
  195. Wed May 28 21:08:46 2025 BLanczosTime: 5655
  196. Wed May 28 21:08:46 2025
  197. Wed May 28 21:08:46 2025 commencing square root phase
  198. Wed May 28 21:08:46 2025 handling dependencies 1 to 64
  199. Wed May 28 21:08:46 2025 reading relations for dependency 1
  200. Wed May 28 21:08:47 2025 read 2138304 cycles
  201. Wed May 28 21:08:50 2025 cycles contain 6676390 unique relations
  202. Wed May 28 21:09:31 2025 read 6676390 relations
  203. Wed May 28 21:10:01 2025 multiplying 6676390 relations
  204. Wed May 28 21:13:13 2025 multiply complete, coefficients have about 161.88 million bits
  205. Wed May 28 21:13:14 2025 initial square root is modulo 644843
  206. Wed May 28 21:16:56 2025 GCD is N, no factor found
  207. Wed May 28 21:16:56 2025 reading relations for dependency 2
  208. Wed May 28 21:16:56 2025 read 2138135 cycles
  209. Wed May 28 21:17:01 2025 cycles contain 6678916 unique relations
  210. Wed May 28 21:17:40 2025 read 6678916 relations
  211. Wed May 28 21:18:11 2025 multiplying 6678916 relations
  212. Wed May 28 21:21:23 2025 multiply complete, coefficients have about 161.94 million bits
  213. Wed May 28 21:21:24 2025 initial square root is modulo 648007
  214. Wed May 28 21:25:05 2025 GCD is N, no factor found
  215. Wed May 28 21:25:05 2025 reading relations for dependency 3
  216. Wed May 28 21:25:05 2025 read 2136541 cycles
  217. Wed May 28 21:25:09 2025 cycles contain 6673924 unique relations
  218. Wed May 28 21:25:46 2025 read 6673924 relations
  219. Wed May 28 21:26:20 2025 multiplying 6673924 relations
  220. Wed May 28 21:29:30 2025 multiply complete, coefficients have about 161.82 million bits
  221. Wed May 28 21:29:31 2025 initial square root is modulo 641819
  222. Wed May 28 21:33:17 2025 GCD is 1, no factor found
  223. Wed May 28 21:33:17 2025 reading relations for dependency 4
  224. Wed May 28 21:33:17 2025 read 2135827 cycles
  225. Wed May 28 21:33:21 2025 cycles contain 6671076 unique relations
  226. Wed May 28 21:34:01 2025 read 6671076 relations
  227. Wed May 28 21:34:34 2025 multiplying 6671076 relations
  228. Wed May 28 21:37:48 2025 multiply complete, coefficients have about 161.75 million bits
  229. Wed May 28 21:37:49 2025 initial square root is modulo 638081
  230. Wed May 28 21:41:36 2025 sqrtTime: 1970
  231. Wed May 28 21:41:36 2025 p58 factor: 2916012057732340423120457822180315576141826937979664360341
  232. Wed May 28 21:41:36 2025 p141 factor: 218730570151137350121487690759687690636049513590543262882390195694164162995799534119689621740805983938535258983366918687613591658304982152861
  233. Wed May 28 21:41:36 2025 elapsed time 02:07:06
  234.  
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