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Sep 28th, 2025
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  1. Sun Sep 28 05:44:18 2025
  2. Sun Sep 28 05:44:18 2025
  3. Sun Sep 28 05:44:18 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Sep 28 05:44:18 2025 random seeds: 9aef9011 58626234
  5. Sun Sep 28 05:44:18 2025 factoring 13102433853399926835725510127806948060792044589631050649418585829351995966570084062158413518102943707534526598939593072206259159515974303867397900653361197098822352917280141840171380073679172561 (194 digits)
  6. Sun Sep 28 05:44:19 2025 searching for 15-digit factors
  7. Sun Sep 28 05:44:19 2025 commencing number field sieve (194-digit input)
  8. Sun Sep 28 05:44:19 2025 R0: 102221194389905859962894078900730367375382128682
  9. Sun Sep 28 05:44:19 2025 R1: -319720494166241804842291
  10. Sun Sep 28 05:44:19 2025 A0: 1
  11. Sun Sep 28 05:44:19 2025 A1: 3
  12. Sun Sep 28 05:44:19 2025 A2: -3
  13. Sun Sep 28 05:44:19 2025 A3: -4
  14. Sun Sep 28 05:44:19 2025 A4: 1
  15. Sun Sep 28 05:44:19 2025 A5: 1
  16. Sun Sep 28 05:44:19 2025 skew 1.48, size 5.441e-16, alpha 2.379, combined = 6.344e-13 rroots = 5
  17. Sun Sep 28 05:44:19 2025
  18. Sun Sep 28 05:44:19 2025 commencing relation filtering
  19. Sun Sep 28 05:44:19 2025 setting target matrix density to 100.0
  20. Sun Sep 28 05:44:19 2025 estimated available RAM is 15938.6 MB
  21. Sun Sep 28 05:44:19 2025 commencing duplicate removal, pass 1
  22. Sun Sep 28 06:01:53 2025 error -11 reading relation 122630269
  23. Sun Sep 28 06:03:36 2025 skipped 52 relations with b > 2^32
  24. Sun Sep 28 06:03:36 2025 found 4277038 hash collisions in 138436267 relations
  25. Sun Sep 28 06:03:45 2025 added 2926300 free relations
  26. Sun Sep 28 06:03:45 2025 commencing duplicate removal, pass 2
  27. Sun Sep 28 06:04:37 2025 found 0 duplicates and 141362567 unique relations
  28. Sun Sep 28 06:04:37 2025 memory use: 389.2 MB
  29. Sun Sep 28 06:04:37 2025 reading ideals above 88014848
  30. Sun Sep 28 06:04:37 2025 commencing singleton removal, initial pass
  31. Sun Sep 28 06:20:40 2025 memory use: 3012.0 MB
  32. Sun Sep 28 06:20:40 2025 reading all ideals from disk
  33. Sun Sep 28 06:20:45 2025 memory use: 2640.8 MB
  34. Sun Sep 28 06:20:55 2025 commencing in-memory singleton removal
  35. Sun Sep 28 06:21:04 2025 begin with 141362567 relations and 115331894 unique ideals
  36. Sun Sep 28 06:22:37 2025 reduce to 96008193 relations and 66112627 ideals in 14 passes
  37. Sun Sep 28 06:22:37 2025 max relations containing the same ideal: 31
  38. Sun Sep 28 06:22:46 2025 reading ideals above 720000
  39. Sun Sep 28 06:22:47 2025 commencing singleton removal, initial pass
  40. Sun Sep 28 06:34:44 2025 memory use: 1506.0 MB
  41. Sun Sep 28 06:34:44 2025 reading all ideals from disk
  42. Sun Sep 28 06:34:51 2025 memory use: 3682.1 MB
  43. Sun Sep 28 06:35:09 2025 keeping 75860405 ideals with weight <= 200, target excess is 469730
  44. Sun Sep 28 06:35:29 2025 commencing in-memory singleton removal
  45. Sun Sep 28 06:35:43 2025 begin with 96008193 relations and 75860405 unique ideals
  46. Sun Sep 28 06:36:12 2025 reduce to 96008136 relations and 75860348 ideals in 2 passes
  47. Sun Sep 28 06:36:12 2025 max relations containing the same ideal: 200
  48. Sun Sep 28 06:37:25 2025 removing 8818959 relations and 6818959 ideals in 2000000 cliques
  49. Sun Sep 28 06:37:30 2025 commencing in-memory singleton removal
  50. Sun Sep 28 06:37:43 2025 begin with 87189177 relations and 75860348 unique ideals
  51. Sun Sep 28 06:39:07 2025 reduce to 86510105 relations and 68343948 ideals in 8 passes
  52. Sun Sep 28 06:39:07 2025 max relations containing the same ideal: 195
  53. Sun Sep 28 06:40:02 2025 removing 6967871 relations and 4967871 ideals in 2000000 cliques
  54. Sun Sep 28 06:40:07 2025 commencing in-memory singleton removal
  55. Sun Sep 28 06:40:16 2025 begin with 79542234 relations and 68343948 unique ideals
  56. Sun Sep 28 06:41:18 2025 reduce to 79068269 relations and 62890765 ideals in 7 passes
  57. Sun Sep 28 06:41:18 2025 max relations containing the same ideal: 185
  58. Sun Sep 28 06:42:09 2025 removing 6474799 relations and 4474799 ideals in 2000000 cliques
  59. Sun Sep 28 06:42:13 2025 commencing in-memory singleton removal
  60. Sun Sep 28 06:42:22 2025 begin with 72593470 relations and 62890765 unique ideals
  61. Sun Sep 28 06:43:08 2025 reduce to 72161683 relations and 57973594 ideals in 6 passes
  62. Sun Sep 28 06:43:08 2025 max relations containing the same ideal: 176
  63. Sun Sep 28 06:43:52 2025 removing 6237006 relations and 4237006 ideals in 2000000 cliques
  64. Sun Sep 28 06:43:55 2025 commencing in-memory singleton removal
  65. Sun Sep 28 06:44:04 2025 begin with 65924677 relations and 57973594 unique ideals
  66. Sun Sep 28 06:44:51 2025 reduce to 65497898 relations and 53298946 ideals in 7 passes
  67. Sun Sep 28 06:44:51 2025 max relations containing the same ideal: 169
  68. Sun Sep 28 06:45:31 2025 removing 6116715 relations and 4116715 ideals in 2000000 cliques
  69. Sun Sep 28 06:45:34 2025 commencing in-memory singleton removal
  70. Sun Sep 28 06:45:41 2025 begin with 59381183 relations and 53298946 unique ideals
  71. Sun Sep 28 06:46:23 2025 reduce to 58938943 relations and 48727993 ideals in 7 passes
  72. Sun Sep 28 06:46:23 2025 max relations containing the same ideal: 158
  73. Sun Sep 28 06:47:01 2025 removing 6056564 relations and 4056564 ideals in 2000000 cliques
  74. Sun Sep 28 06:47:03 2025 commencing in-memory singleton removal
  75. Sun Sep 28 06:47:10 2025 begin with 52882379 relations and 48727993 unique ideals
  76. Sun Sep 28 06:47:46 2025 reduce to 52404562 relations and 44179101 ideals in 7 passes
  77. Sun Sep 28 06:47:46 2025 max relations containing the same ideal: 144
  78. Sun Sep 28 06:48:18 2025 removing 6051262 relations and 4051262 ideals in 2000000 cliques
  79. Sun Sep 28 06:48:20 2025 commencing in-memory singleton removal
  80. Sun Sep 28 06:48:26 2025 begin with 46353300 relations and 44179101 unique ideals
  81. Sun Sep 28 06:49:02 2025 reduce to 45818312 relations and 39574741 ideals in 8 passes
  82. Sun Sep 28 06:49:02 2025 max relations containing the same ideal: 130
  83. Sun Sep 28 06:49:32 2025 removing 6085876 relations and 4085876 ideals in 2000000 cliques
  84. Sun Sep 28 06:49:35 2025 commencing in-memory singleton removal
  85. Sun Sep 28 06:49:39 2025 begin with 39732436 relations and 39574741 unique ideals
  86. Sun Sep 28 06:50:15 2025 reduce to 39106871 relations and 34838977 ideals in 9 passes
  87. Sun Sep 28 06:50:15 2025 max relations containing the same ideal: 118
  88. Sun Sep 28 06:50:39 2025 removing 6178223 relations and 4178223 ideals in 2000000 cliques
  89. Sun Sep 28 06:50:42 2025 commencing in-memory singleton removal
  90. Sun Sep 28 06:50:46 2025 begin with 32928648 relations and 34838977 unique ideals
  91. Sun Sep 28 06:51:11 2025 reduce to 32154524 relations and 29851704 ideals in 8 passes
  92. Sun Sep 28 06:51:11 2025 max relations containing the same ideal: 101
  93. Sun Sep 28 06:51:31 2025 removing 5705542 relations and 3947609 ideals in 1757933 cliques
  94. Sun Sep 28 06:51:34 2025 commencing in-memory singleton removal
  95. Sun Sep 28 06:51:37 2025 begin with 26448982 relations and 29851704 unique ideals
  96. Sun Sep 28 06:51:59 2025 reduce to 25615021 relations and 25028756 ideals in 9 passes
  97. Sun Sep 28 06:51:59 2025 max relations containing the same ideal: 88
  98. Sun Sep 28 06:52:15 2025 removing 289618 relations and 248240 ideals in 41378 cliques
  99. Sun Sep 28 06:52:16 2025 commencing in-memory singleton removal
  100. Sun Sep 28 06:52:19 2025 begin with 25325403 relations and 25028756 unique ideals
  101. Sun Sep 28 06:52:34 2025 reduce to 25322850 relations and 24777958 ideals in 6 passes
  102. Sun Sep 28 06:52:34 2025 max relations containing the same ideal: 88
  103. Sun Sep 28 06:52:41 2025 relations with 0 large ideals: 36786
  104. Sun Sep 28 06:52:41 2025 relations with 1 large ideals: 5808
  105. Sun Sep 28 06:52:41 2025 relations with 2 large ideals: 70533
  106. Sun Sep 28 06:52:41 2025 relations with 3 large ideals: 502915
  107. Sun Sep 28 06:52:41 2025 relations with 4 large ideals: 1953442
  108. Sun Sep 28 06:52:41 2025 relations with 5 large ideals: 4548014
  109. Sun Sep 28 06:52:41 2025 relations with 6 large ideals: 7464113
  110. Sun Sep 28 06:52:41 2025 relations with 7+ large ideals: 10741239
  111. Sun Sep 28 06:52:41 2025 commencing 2-way merge
  112. Sun Sep 28 06:53:07 2025 reduce to 16613731 relation sets and 16068839 unique ideals
  113. Sun Sep 28 06:53:07 2025 commencing full merge
  114. Sun Sep 28 07:01:18 2025 memory use: 2140.3 MB
  115. Sun Sep 28 07:01:20 2025 found 7753889 cycles, need 7723039
  116. Sun Sep 28 07:01:23 2025 weight of 7723039 cycles is about 772735809 (100.06/cycle)
  117. Sun Sep 28 07:01:23 2025 distribution of cycle lengths:
  118. Sun Sep 28 07:01:23 2025 1 relations: 556759
  119. Sun Sep 28 07:01:23 2025 2 relations: 603885
  120. Sun Sep 28 07:01:23 2025 3 relations: 626853
  121. Sun Sep 28 07:01:23 2025 4 relations: 614221
  122. Sun Sep 28 07:01:23 2025 5 relations: 607916
  123. Sun Sep 28 07:01:23 2025 6 relations: 587852
  124. Sun Sep 28 07:01:23 2025 7 relations: 557557
  125. Sun Sep 28 07:01:23 2025 8 relations: 519471
  126. Sun Sep 28 07:01:23 2025 9 relations: 473293
  127. Sun Sep 28 07:01:23 2025 10+ relations: 2575232
  128. Sun Sep 28 07:01:23 2025 heaviest cycle: 28 relations
  129. Sun Sep 28 07:01:26 2025 commencing cycle optimization
  130. Sun Sep 28 07:01:43 2025 start with 61420759 relations
  131. Sun Sep 28 07:04:24 2025 pruned 2568852 relations
  132. Sun Sep 28 07:04:24 2025 memory use: 1677.5 MB
  133. Sun Sep 28 07:04:24 2025 distribution of cycle lengths:
  134. Sun Sep 28 07:04:24 2025 1 relations: 556759
  135. Sun Sep 28 07:04:24 2025 2 relations: 615766
  136. Sun Sep 28 07:04:24 2025 3 relations: 650194
  137. Sun Sep 28 07:04:24 2025 4 relations: 636870
  138. Sun Sep 28 07:04:24 2025 5 relations: 636283
  139. Sun Sep 28 07:04:24 2025 6 relations: 614000
  140. Sun Sep 28 07:04:24 2025 7 relations: 583591
  141. Sun Sep 28 07:04:24 2025 8 relations: 539759
  142. Sun Sep 28 07:04:24 2025 9 relations: 490422
  143. Sun Sep 28 07:04:24 2025 10+ relations: 2399395
  144. Sun Sep 28 07:04:24 2025 heaviest cycle: 28 relations
  145. Sun Sep 28 07:04:43 2025 RelProcTime: 4824
  146. Sun Sep 28 07:04:43 2025
  147. Sun Sep 28 07:04:43 2025 commencing linear algebra
  148. Sun Sep 28 07:04:43 2025 using VBITS=512
  149. Sun Sep 28 07:04:45 2025 read 7723039 cycles
  150. Sun Sep 28 07:05:03 2025 cycles contain 24997327 unique relations
  151. Sun Sep 28 07:07:38 2025 read 24997327 relations
  152. Sun Sep 28 07:08:31 2025 using 20 quadratic characters above 4294917295
  153. Sun Sep 28 07:10:16 2025 building initial matrix
  154. Sun Sep 28 07:16:19 2025 memory use: 3059.6 MB
  155. Sun Sep 28 07:16:23 2025 read 7723039 cycles
  156. Sun Sep 28 07:16:25 2025 matrix is 7722861 x 7723039 (3104.6 MB) with weight 887893993 (114.97/col)
  157. Sun Sep 28 07:16:25 2025 sparse part has weight 728887980 (94.38/col)
  158. Sun Sep 28 07:18:23 2025 filtering completed in 2 passes
  159. Sun Sep 28 07:18:24 2025 matrix is 7722382 x 7722521 (3104.5 MB) with weight 887877349 (114.97/col)
  160. Sun Sep 28 07:18:24 2025 sparse part has weight 728882098 (94.38/col)
  161. Sun Sep 28 07:18:55 2025 matrix starts at (0, 0)
  162. Sun Sep 28 07:18:56 2025 matrix is 7722382 x 7722521 (3104.5 MB) with weight 887877349 (114.97/col)
  163. Sun Sep 28 07:18:56 2025 sparse part has weight 728882098 (94.38/col)
  164. Sun Sep 28 07:18:56 2025 saving the first 496 matrix rows for later
  165. Sun Sep 28 07:18:59 2025 matrix includes 512 packed rows
  166. Sun Sep 28 07:19:07 2025 matrix is 7721886 x 7722521 (2977.5 MB) with weight 628674625 (81.41/col)
  167. Sun Sep 28 07:19:07 2025 sparse part has weight 595196879 (77.07/col)
  168. Sun Sep 28 10:12:11 2025
  169. Sun Sep 28 10:12:11 2025
  170. Sun Sep 28 10:12:11 2025 Msieve v. 1.54 (SVN unknown)
  171. Sun Sep 28 10:12:11 2025 random seeds: 04fedbdb 9fdfe9d4
  172. Sun Sep 28 10:12:11 2025 factoring 13102433853399926835725510127806948060792044589631050649418585829351995966570084062158413518102943707534526598939593072206259159515974303867397900653361197098822352917280141840171380073679172561 (194 digits)
  173. Sun Sep 28 10:12:12 2025 searching for 15-digit factors
  174. Sun Sep 28 10:12:12 2025 commencing number field sieve (194-digit input)
  175. Sun Sep 28 10:12:12 2025 R0: 102221194389905859962894078900730367375382128682
  176. Sun Sep 28 10:12:12 2025 R1: -319720494166241804842291
  177. Sun Sep 28 10:12:12 2025 A0: 1
  178. Sun Sep 28 10:12:12 2025 A1: 3
  179. Sun Sep 28 10:12:12 2025 A2: -3
  180. Sun Sep 28 10:12:12 2025 A3: -4
  181. Sun Sep 28 10:12:12 2025 A4: 1
  182. Sun Sep 28 10:12:12 2025 A5: 1
  183. Sun Sep 28 10:12:12 2025 skew 1.48, size 5.441e-16, alpha 2.379, combined = 6.344e-13 rroots = 5
  184. Sun Sep 28 10:12:12 2025
  185. Sun Sep 28 10:12:12 2025 commencing linear algebra
  186. Sun Sep 28 10:12:12 2025 using VBITS=512
  187. Sun Sep 28 10:12:12 2025 skipping matrix build
  188. Sun Sep 28 10:12:16 2025 matrix starts at (0, 0)
  189. Sun Sep 28 10:12:17 2025 matrix is 7722382 x 7722521 (3104.5 MB) with weight 887877349 (114.97/col)
  190. Sun Sep 28 10:12:17 2025 sparse part has weight 728882098 (94.38/col)
  191. Sun Sep 28 10:12:17 2025 saving the first 496 matrix rows for later
  192. Sun Sep 28 10:12:19 2025 matrix includes 512 packed rows
  193. Sun Sep 28 10:12:23 2025 matrix is 7721886 x 7722521 (2977.5 MB) with weight 628674625 (81.41/col)
  194. Sun Sep 28 10:12:23 2025 sparse part has weight 595196879 (77.07/col)
  195. Sun Sep 28 10:12:23 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  196. Sun Sep 28 10:12:23 2025 selected card has CUDA arch 8.6
  197. Sun Sep 28 10:13:03 2025 commencing Lanczos iteration
  198. Sun Sep 28 10:13:04 2025 memory use: 8429.6 MB
  199. Sun Sep 28 10:13:30 2025 linear algebra at 0.2%, ETA 3h37m
  200. Sun Sep 28 10:13:31 2025 checkpointing every 2120000 dimensions
  201. Sun Sep 28 14:22:01 2025 lanczos halted after 15106 iterations (dim = 7721881)
  202. Sun Sep 28 14:23:53 2025 recovered 31 nontrivial dependencies
  203. Sun Sep 28 14:23:53 2025 BLanczosTime: 15101
  204. Sun Sep 28 14:23:53 2025 elapsed time 04:11:42
  205. Sun Sep 28 14:29:46 2025
  206. Sun Sep 28 14:29:46 2025
  207. Sun Sep 28 14:29:46 2025 Msieve v. 1.54 (SVN Unversioned directory)
  208. Sun Sep 28 14:29:46 2025 random seeds: 51027e97 b7da5768
  209. Sun Sep 28 14:29:46 2025 factoring 13102433853399926835725510127806948060792044589631050649418585829351995966570084062158413518102943707534526598939593072206259159515974303867397900653361197098822352917280141840171380073679172561 (194 digits)
  210. Sun Sep 28 14:29:47 2025 searching for 15-digit factors
  211. Sun Sep 28 14:29:48 2025 commencing number field sieve (194-digit input)
  212. Sun Sep 28 14:29:48 2025 R0: 102221194389905859962894078900730367375382128682
  213. Sun Sep 28 14:29:48 2025 R1: -319720494166241804842291
  214. Sun Sep 28 14:29:48 2025 A0: 1
  215. Sun Sep 28 14:29:48 2025 A1: 3
  216. Sun Sep 28 14:29:48 2025 A2: -3
  217. Sun Sep 28 14:29:48 2025 A3: -4
  218. Sun Sep 28 14:29:48 2025 A4: 1
  219. Sun Sep 28 14:29:48 2025 A5: 1
  220. Sun Sep 28 14:29:48 2025 skew 1.48, size 5.441e-16, alpha 2.379, combined = 6.344e-13 rroots = 5
  221. Sun Sep 28 14:29:48 2025
  222. Sun Sep 28 14:29:48 2025 commencing square root phase
  223. Sun Sep 28 14:29:48 2025 reading relations for dependency 1
  224. Sun Sep 28 14:29:50 2025 read 3861346 cycles
  225. Sun Sep 28 14:29:57 2025 cycles contain 12498946 unique relations
  226. Sun Sep 28 14:31:03 2025 read 12498946 relations
  227. Sun Sep 28 14:32:03 2025 multiplying 12498946 relations
  228. Sun Sep 28 14:40:31 2025 multiply complete, coefficients have about 309.33 million bits
  229. Sun Sep 28 14:40:33 2025 initial square root is modulo 355171
  230. Sun Sep 28 14:51:31 2025 sqrtTime: 1303
  231. Sun Sep 28 14:51:31 2025 p65 factor: 28036813805984049513863098229013917004878051003053365065788430903
  232. Sun Sep 28 14:51:31 2025 p129 factor: 467329631108203999410184082966537577956106632328901739962185311267115077469652220355460422427237818932502988143125133059966828087
  233. Sun Sep 28 14:51:31 2025 elapsed time 00:21:45
  234.  
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