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Oct 12th, 2025
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  1. Sun Oct 12 09:01:22 2025
  2. Sun Oct 12 09:01:22 2025
  3. Sun Oct 12 09:01:22 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Oct 12 09:01:22 2025 random seeds: f83e968d 9e7dfc0c
  5. Sun Oct 12 09:01:22 2025 factoring 41144815237275536567277126252152329938291021252950106097530937868917216802125702638702770765907083317652013451840944737273968507070373308704679168303428938409465177 (164 digits)
  6. Sun Oct 12 09:01:23 2025 searching for 15-digit factors
  7. Sun Oct 12 09:01:24 2025 commencing number field sieve (164-digit input)
  8. Sun Oct 12 09:01:24 2025 R0: 113357871088738261527971305121485695842
  9. Sun Oct 12 09:01:24 2025 R1: -10646965346460852529
  10. Sun Oct 12 09:01:24 2025 A0: -1
  11. Sun Oct 12 09:01:24 2025 A1: 3
  12. Sun Oct 12 09:01:24 2025 A2: 6
  13. Sun Oct 12 09:01:24 2025 A3: -4
  14. Sun Oct 12 09:01:24 2025 A4: -5
  15. Sun Oct 12 09:01:24 2025 A5: 1
  16. Sun Oct 12 09:01:24 2025 A6: 1
  17. Sun Oct 12 09:01:24 2025 skew 1.37, size 3.020e-11, alpha 3.126, combined = 1.403e-12 rroots = 6
  18. Sun Oct 12 09:01:24 2025
  19. Sun Oct 12 09:01:24 2025 commencing relation filtering
  20. Sun Oct 12 09:01:24 2025 setting target matrix density to 104.0
  21. Sun Oct 12 09:01:24 2025 estimated available RAM is 15938.6 MB
  22. Sun Oct 12 09:01:24 2025 commencing duplicate removal, pass 1
  23. Sun Oct 12 09:20:54 2025 error -15 reading relation 97997595
  24. Sun Oct 12 09:21:21 2025 skipped 8 relations with b > 2^32
  25. Sun Oct 12 09:21:21 2025 skipped 1 relations with composite factors
  26. Sun Oct 12 09:21:21 2025 found 4433521 hash collisions in 100601436 relations
  27. Sun Oct 12 09:21:38 2025 added 2438358 free relations
  28. Sun Oct 12 09:21:38 2025 commencing duplicate removal, pass 2
  29. Sun Oct 12 09:22:40 2025 found 0 duplicates and 103039794 unique relations
  30. Sun Oct 12 09:22:40 2025 memory use: 261.2 MB
  31. Sun Oct 12 09:22:40 2025 reading ideals above 69926912
  32. Sun Oct 12 09:22:40 2025 commencing singleton removal, initial pass
  33. Sun Oct 12 09:40:01 2025 memory use: 2756.0 MB
  34. Sun Oct 12 09:40:01 2025 reading all ideals from disk
  35. Sun Oct 12 09:40:06 2025 memory use: 1846.7 MB
  36. Sun Oct 12 09:40:16 2025 commencing in-memory singleton removal
  37. Sun Oct 12 09:40:26 2025 begin with 103039794 relations and 84372440 unique ideals
  38. Sun Oct 12 09:42:09 2025 reduce to 70255161 relations and 48447882 ideals in 14 passes
  39. Sun Oct 12 09:42:09 2025 max relations containing the same ideal: 45
  40. Sun Oct 12 09:42:18 2025 reading ideals above 720000
  41. Sun Oct 12 09:42:19 2025 commencing singleton removal, initial pass
  42. Sun Oct 12 09:58:50 2025 memory use: 1506.0 MB
  43. Sun Oct 12 09:58:50 2025 reading all ideals from disk
  44. Sun Oct 12 09:58:58 2025 memory use: 2637.7 MB
  45. Sun Oct 12 09:59:13 2025 keeping 56327205 ideals with weight <= 200, target excess is 348380
  46. Sun Oct 12 09:59:30 2025 commencing in-memory singleton removal
  47. Sun Oct 12 09:59:43 2025 begin with 70255161 relations and 56327205 unique ideals
  48. Sun Oct 12 10:00:51 2025 reduce to 70255008 relations and 56327052 ideals in 5 passes
  49. Sun Oct 12 10:00:51 2025 max relations containing the same ideal: 200
  50. Sun Oct 12 10:01:58 2025 removing 8557687 relations and 6557687 ideals in 2000000 cliques
  51. Sun Oct 12 10:02:03 2025 commencing in-memory singleton removal
  52. Sun Oct 12 10:02:15 2025 begin with 61697321 relations and 56327052 unique ideals
  53. Sun Oct 12 10:03:52 2025 reduce to 60751674 relations and 48789384 ideals in 8 passes
  54. Sun Oct 12 10:03:52 2025 max relations containing the same ideal: 193
  55. Sun Oct 12 10:04:51 2025 removing 6960076 relations and 4960076 ideals in 2000000 cliques
  56. Sun Oct 12 10:04:56 2025 commencing in-memory singleton removal
  57. Sun Oct 12 10:05:06 2025 begin with 53791598 relations and 48789384 unique ideals
  58. Sun Oct 12 10:06:27 2025 reduce to 53115231 relations and 43129979 ideals in 8 passes
  59. Sun Oct 12 10:06:27 2025 max relations containing the same ideal: 176
  60. Sun Oct 12 10:07:18 2025 removing 6493262 relations and 4493262 ideals in 2000000 cliques
  61. Sun Oct 12 10:07:22 2025 commencing in-memory singleton removal
  62. Sun Oct 12 10:07:31 2025 begin with 46621969 relations and 43129979 unique ideals
  63. Sun Oct 12 10:08:43 2025 reduce to 45982371 relations and 37974080 ideals in 8 passes
  64. Sun Oct 12 10:08:43 2025 max relations containing the same ideal: 162
  65. Sun Oct 12 10:09:28 2025 removing 6285457 relations and 4285457 ideals in 2000000 cliques
  66. Sun Oct 12 10:09:32 2025 commencing in-memory singleton removal
  67. Sun Oct 12 10:09:39 2025 begin with 39696914 relations and 37974080 unique ideals
  68. Sun Oct 12 10:10:46 2025 reduce to 39031319 relations and 32996042 ideals in 9 passes
  69. Sun Oct 12 10:10:46 2025 max relations containing the same ideal: 144
  70. Sun Oct 12 10:11:24 2025 removing 6191493 relations and 4191493 ideals in 2000000 cliques
  71. Sun Oct 12 10:11:28 2025 commencing in-memory singleton removal
  72. Sun Oct 12 10:11:33 2025 begin with 32839826 relations and 32996042 unique ideals
  73. Sun Oct 12 10:12:21 2025 reduce to 32104582 relations and 28034671 ideals in 8 passes
  74. Sun Oct 12 10:12:21 2025 max relations containing the same ideal: 128
  75. Sun Oct 12 10:12:53 2025 removing 6147557 relations and 4147557 ideals in 2000000 cliques
  76. Sun Oct 12 10:12:57 2025 commencing in-memory singleton removal
  77. Sun Oct 12 10:13:02 2025 begin with 25957025 relations and 28034671 unique ideals
  78. Sun Oct 12 10:13:39 2025 reduce to 25103976 relations and 22986017 ideals in 8 passes
  79. Sun Oct 12 10:13:39 2025 max relations containing the same ideal: 109
  80. Sun Oct 12 10:14:04 2025 removing 5409491 relations and 3695653 ideals in 1713838 cliques
  81. Sun Oct 12 10:14:07 2025 commencing in-memory singleton removal
  82. Sun Oct 12 10:14:10 2025 begin with 19694485 relations and 22986017 unique ideals
  83. Sun Oct 12 10:14:40 2025 reduce to 18856775 relations and 18400309 ideals in 9 passes
  84. Sun Oct 12 10:14:40 2025 max relations containing the same ideal: 87
  85. Sun Oct 12 10:14:59 2025 removing 331814 relations and 279469 ideals in 52345 cliques
  86. Sun Oct 12 10:15:00 2025 commencing in-memory singleton removal
  87. Sun Oct 12 10:15:03 2025 begin with 18524961 relations and 18400309 unique ideals
  88. Sun Oct 12 10:15:26 2025 reduce to 18520239 relations and 18116105 ideals in 7 passes
  89. Sun Oct 12 10:15:26 2025 max relations containing the same ideal: 86
  90. Sun Oct 12 10:15:33 2025 relations with 0 large ideals: 25483
  91. Sun Oct 12 10:15:33 2025 relations with 1 large ideals: 6600
  92. Sun Oct 12 10:15:33 2025 relations with 2 large ideals: 46921
  93. Sun Oct 12 10:15:33 2025 relations with 3 large ideals: 339153
  94. Sun Oct 12 10:15:33 2025 relations with 4 large ideals: 1361052
  95. Sun Oct 12 10:15:33 2025 relations with 5 large ideals: 3231542
  96. Sun Oct 12 10:15:33 2025 relations with 6 large ideals: 4770738
  97. Sun Oct 12 10:15:33 2025 relations with 7+ large ideals: 8738750
  98. Sun Oct 12 10:15:33 2025 commencing 2-way merge
  99. Sun Oct 12 10:15:57 2025 reduce to 12165263 relation sets and 11761129 unique ideals
  100. Sun Oct 12 10:15:57 2025 commencing full merge
  101. Sun Oct 12 10:25:14 2025 memory use: 1669.4 MB
  102. Sun Oct 12 10:25:17 2025 found 5733250 cycles, need 5715329
  103. Sun Oct 12 10:25:20 2025 weight of 5715329 cycles is about 594715238 (104.06/cycle)
  104. Sun Oct 12 10:25:20 2025 distribution of cycle lengths:
  105. Sun Oct 12 10:25:20 2025 1 relations: 328383
  106. Sun Oct 12 10:25:20 2025 2 relations: 415751
  107. Sun Oct 12 10:25:20 2025 3 relations: 460145
  108. Sun Oct 12 10:25:20 2025 4 relations: 462520
  109. Sun Oct 12 10:25:20 2025 5 relations: 459408
  110. Sun Oct 12 10:25:20 2025 6 relations: 444741
  111. Sun Oct 12 10:25:20 2025 7 relations: 422046
  112. Sun Oct 12 10:25:20 2025 8 relations: 391945
  113. Sun Oct 12 10:25:20 2025 9 relations: 356823
  114. Sun Oct 12 10:25:20 2025 10+ relations: 1973567
  115. Sun Oct 12 10:25:20 2025 heaviest cycle: 28 relations
  116. Sun Oct 12 10:25:24 2025 commencing cycle optimization
  117. Sun Oct 12 10:25:47 2025 start with 46794748 relations
  118. Sun Oct 12 10:29:01 2025 pruned 2013847 relations
  119. Sun Oct 12 10:29:01 2025 memory use: 1252.4 MB
  120. Sun Oct 12 10:29:01 2025 distribution of cycle lengths:
  121. Sun Oct 12 10:29:01 2025 1 relations: 328383
  122. Sun Oct 12 10:29:01 2025 2 relations: 424423
  123. Sun Oct 12 10:29:01 2025 3 relations: 477992
  124. Sun Oct 12 10:29:01 2025 4 relations: 479586
  125. Sun Oct 12 10:29:01 2025 5 relations: 480715
  126. Sun Oct 12 10:29:01 2025 6 relations: 464576
  127. Sun Oct 12 10:29:01 2025 7 relations: 442003
  128. Sun Oct 12 10:29:01 2025 8 relations: 407844
  129. Sun Oct 12 10:29:01 2025 9 relations: 370205
  130. Sun Oct 12 10:29:01 2025 10+ relations: 1839602
  131. Sun Oct 12 10:29:01 2025 heaviest cycle: 28 relations
  132. Sun Oct 12 10:29:19 2025 RelProcTime: 5275
  133. Sun Oct 12 10:29:19 2025
  134. Sun Oct 12 10:29:19 2025 commencing linear algebra
  135. Sun Oct 12 10:29:19 2025 using VBITS=512
  136. Sun Oct 12 10:29:20 2025 read 5715329 cycles
  137. Sun Oct 12 10:29:41 2025 cycles contain 18293232 unique relations
  138. Sun Oct 12 10:32:32 2025 read 18293232 relations
  139. Sun Oct 12 10:33:25 2025 using 20 quadratic characters above 4294917295
  140. Sun Oct 12 10:35:30 2025 building initial matrix
  141. Sun Oct 12 10:44:23 2025 memory use: 2250.8 MB
  142. Sun Oct 12 10:44:31 2025 read 5715329 cycles
  143. Sun Oct 12 10:44:32 2025 matrix is 5715152 x 5715329 (2350.4 MB) with weight 667267713 (116.75/col)
  144. Sun Oct 12 10:44:32 2025 sparse part has weight 558988930 (97.81/col)
  145. Sun Oct 12 10:46:33 2025 filtering completed in 2 passes
  146. Sun Oct 12 10:46:35 2025 matrix is 5714960 x 5715102 (2350.4 MB) with weight 667260787 (116.75/col)
  147. Sun Oct 12 10:46:35 2025 sparse part has weight 558986178 (97.81/col)
  148. Sun Oct 12 10:47:07 2025 matrix starts at (0, 0)
  149. Sun Oct 12 10:47:08 2025 matrix is 5714960 x 5715102 (2350.4 MB) with weight 667260787 (116.75/col)
  150. Sun Oct 12 10:47:08 2025 sparse part has weight 558986178 (97.81/col)
  151. Sun Oct 12 10:47:08 2025 saving the first 496 matrix rows for later
  152. Sun Oct 12 10:47:12 2025 matrix includes 512 packed rows
  153. Sun Oct 12 10:47:21 2025 matrix is 5714464 x 5715102 (2249.5 MB) with weight 478851174 (83.79/col)
  154. Sun Oct 12 10:47:21 2025 sparse part has weight 452525176 (79.18/col)
  155. Sun Oct 12 11:57:35 2025
  156. Sun Oct 12 11:57:35 2025
  157. Sun Oct 12 11:57:35 2025 Msieve v. 1.54 (SVN unknown)
  158. Sun Oct 12 11:57:35 2025 random seeds: c767f70a bf4c30a2
  159. Sun Oct 12 11:57:35 2025 factoring 41144815237275536567277126252152329938291021252950106097530937868917216802125702638702770765907083317652013451840944737273968507070373308704679168303428938409465177 (164 digits)
  160. Sun Oct 12 11:57:36 2025 no P-1/P+1/ECM available, skipping
  161. Sun Oct 12 11:57:36 2025 commencing number field sieve (164-digit input)
  162. Sun Oct 12 11:57:36 2025 R0: 113357871088738261527971305121485695842
  163. Sun Oct 12 11:57:36 2025 R1: -10646965346460852529
  164. Sun Oct 12 11:57:36 2025 A0: -1
  165. Sun Oct 12 11:57:36 2025 A1: 3
  166. Sun Oct 12 11:57:36 2025 A2: 6
  167. Sun Oct 12 11:57:36 2025 A3: -4
  168. Sun Oct 12 11:57:36 2025 A4: -5
  169. Sun Oct 12 11:57:36 2025 A5: 1
  170. Sun Oct 12 11:57:36 2025 A6: 1
  171. Sun Oct 12 11:57:36 2025 skew 1.37, size 3.020e-11, alpha 3.126, combined = 1.403e-12 rroots = 6
  172. Sun Oct 12 11:57:36 2025
  173. Sun Oct 12 11:57:36 2025 commencing linear algebra
  174. Sun Oct 12 11:57:36 2025 using VBITS=512
  175. Sun Oct 12 11:57:36 2025 skipping matrix build
  176. Sun Oct 12 11:57:37 2025 matrix starts at (0, 0)
  177. Sun Oct 12 11:57:38 2025 matrix is 5714960 x 5715102 (2350.4 MB) with weight 667260787 (116.75/col)
  178. Sun Oct 12 11:57:38 2025 sparse part has weight 558986178 (97.81/col)
  179. Sun Oct 12 11:57:38 2025 saving the first 496 matrix rows for later
  180. Sun Oct 12 11:57:39 2025 matrix includes 512 packed rows
  181. Sun Oct 12 11:57:43 2025 matrix is 5714464 x 5715102 (2249.5 MB) with weight 478851174 (83.79/col)
  182. Sun Oct 12 11:57:43 2025 sparse part has weight 452525176 (79.18/col)
  183. Sun Oct 12 11:57:43 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  184. Sun Oct 12 11:57:43 2025 selected card has CUDA arch 8.6
  185. Sun Oct 12 11:58:16 2025 commencing Lanczos iteration
  186. Sun Oct 12 11:58:16 2025 memory use: 6308.5 MB
  187. Sun Oct 12 11:58:36 2025 linear algebra at 0.3%, ETA 1h57m
  188. Sun Oct 12 11:58:37 2025 checkpointing every 2860000 dimensions
  189. Sun Oct 12 14:11:56 2025 lanczos halted after 11179 iterations (dim = 5714462)
  190. Sun Oct 12 14:13:16 2025 recovered 33 nontrivial dependencies
  191. Sun Oct 12 14:13:16 2025 BLanczosTime: 8140
  192. Sun Oct 12 14:13:16 2025 elapsed time 02:15:41
  193. Sun Oct 12 14:58:14 2025
  194. Sun Oct 12 14:58:14 2025
  195. Sun Oct 12 14:58:14 2025 Msieve v. 1.54 (SVN unknown)
  196. Sun Oct 12 14:58:14 2025 random seeds: c1f00786 7b4f9478
  197. Sun Oct 12 14:58:14 2025 factoring 41144815237275536567277126252152329938291021252950106097530937868917216802125702638702770765907083317652013451840944737273968507070373308704679168303428938409465177 (164 digits)
  198. Sun Oct 12 14:58:14 2025 no P-1/P+1/ECM available, skipping
  199. Sun Oct 12 14:58:14 2025 commencing number field sieve (164-digit input)
  200. Sun Oct 12 14:58:14 2025 R0: 113357871088738261527971305121485695842
  201. Sun Oct 12 14:58:14 2025 R1: -10646965346460852529
  202. Sun Oct 12 14:58:14 2025 A0: -1
  203. Sun Oct 12 14:58:14 2025 A1: 3
  204. Sun Oct 12 14:58:14 2025 A2: 6
  205. Sun Oct 12 14:58:14 2025 A3: -4
  206. Sun Oct 12 14:58:14 2025 A4: -5
  207. Sun Oct 12 14:58:14 2025 A5: 1
  208. Sun Oct 12 14:58:14 2025 A6: 1
  209. Sun Oct 12 14:58:14 2025 skew 1.37, size 3.020e-11, alpha 3.126, combined = 1.403e-12 rroots = 6
  210. Sun Oct 12 14:58:14 2025
  211. Sun Oct 12 14:58:14 2025 commencing square root phase
  212. Sun Oct 12 14:58:14 2025 reading relations for dependency 1
  213. Sun Oct 12 14:58:15 2025 read 2857323 cycles
  214. Sun Oct 12 14:58:19 2025 cycles contain 9147142 unique relations
  215. Sun Oct 12 14:59:00 2025 read 9147142 relations
  216. Sun Oct 12 14:59:34 2025 multiplying 9147142 relations
  217. Sun Oct 12 15:03:55 2025 multiply complete, coefficients have about 222.07 million bits
  218. Sun Oct 12 15:03:56 2025 initial square root is modulo 93182273
  219. Sun Oct 12 15:08:44 2025 sqrtTime: 630
  220. Sun Oct 12 15:08:44 2025 p60 factor: 448155646675728475954655142831882457387691157703693096566671
  221. Sun Oct 12 15:08:44 2025 p104 factor: 91809208569554515847757474662572222008015731537798307478010390951213139134819406688650701849918897268887
  222. Sun Oct 12 15:08:44 2025 elapsed time 00:10:30
  223.  
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