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  1. Thu Oct 23 21:02:34 2025
  2. Thu Oct 23 21:02:34 2025
  3. Thu Oct 23 21:02:34 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Oct 23 21:02:34 2025 random seeds: 895b805c 42d5995e
  5. Thu Oct 23 21:02:34 2025 factoring 456698944827011095573748424123730388431728000266774648424746050505805456222696131015379029910421605277816174967967195602146038656031775495129213988840264474620161870048014414205366750102601416852540026168587 (207 digits)
  6. Thu Oct 23 21:02:35 2025 searching for 15-digit factors
  7. Thu Oct 23 21:02:36 2025 commencing number field sieve (207-digit input)
  8. Thu Oct 23 21:02:36 2025 R0: 2892582051531301325756710295297492469530
  9. Thu Oct 23 21:02:36 2025 R1: -53782730049071526523
  10. Thu Oct 23 21:02:36 2025 A0: -1
  11. Thu Oct 23 21:02:36 2025 A1: 3
  12. Thu Oct 23 21:02:36 2025 A2: 6
  13. Thu Oct 23 21:02:36 2025 A3: -4
  14. Thu Oct 23 21:02:36 2025 A4: -5
  15. Thu Oct 23 21:02:36 2025 A5: 1
  16. Thu Oct 23 21:02:36 2025 A6: 1
  17. Thu Oct 23 21:02:36 2025 skew 1.37, size 1.197e-11, alpha 3.126, combined = 7.161e-13 rroots = 6
  18. Thu Oct 23 21:02:36 2025
  19. Thu Oct 23 21:02:36 2025 commencing relation filtering
  20. Thu Oct 23 21:02:36 2025 setting target matrix density to 112.0
  21. Thu Oct 23 21:02:36 2025 estimated available RAM is 15938.6 MB
  22. Thu Oct 23 21:02:36 2025 commencing duplicate removal, pass 1
  23. Thu Oct 23 21:30:36 2025 skipped 11 relations with b > 2^32
  24. Thu Oct 23 21:30:36 2025 skipped 1 relations with composite factors
  25. Thu Oct 23 21:30:36 2025 found 4823784 hash collisions in 147249450 relations
  26. Thu Oct 23 21:30:51 2025 added 2438358 free relations
  27. Thu Oct 23 21:30:51 2025 commencing duplicate removal, pass 2
  28. Thu Oct 23 21:32:09 2025 found 0 duplicates and 149687808 unique relations
  29. Thu Oct 23 21:32:09 2025 memory use: 389.2 MB
  30. Thu Oct 23 21:32:09 2025 reading ideals above 93913088
  31. Thu Oct 23 21:32:09 2025 commencing singleton removal, initial pass
  32. Thu Oct 23 21:55:09 2025 memory use: 3012.0 MB
  33. Thu Oct 23 21:55:10 2025 reading all ideals from disk
  34. Thu Oct 23 21:55:16 2025 memory use: 2728.9 MB
  35. Thu Oct 23 21:55:31 2025 commencing in-memory singleton removal
  36. Thu Oct 23 21:55:43 2025 begin with 149687808 relations and 120965722 unique ideals
  37. Thu Oct 23 21:58:03 2025 reduce to 102506989 relations and 69556023 ideals in 13 passes
  38. Thu Oct 23 21:58:03 2025 max relations containing the same ideal: 48
  39. Thu Oct 23 21:58:17 2025 reading ideals above 720000
  40. Thu Oct 23 21:58:18 2025 commencing singleton removal, initial pass
  41. Thu Oct 23 22:20:21 2025 memory use: 1506.0 MB
  42. Thu Oct 23 22:20:21 2025 reading all ideals from disk
  43. Thu Oct 23 22:20:31 2025 memory use: 3942.9 MB
  44. Thu Oct 23 22:20:55 2025 keeping 79912055 ideals with weight <= 200, target excess is 503968
  45. Thu Oct 23 22:21:20 2025 commencing in-memory singleton removal
  46. Thu Oct 23 22:21:38 2025 begin with 102506989 relations and 79912055 unique ideals
  47. Thu Oct 23 22:22:17 2025 reduce to 102506988 relations and 79912054 ideals in 2 passes
  48. Thu Oct 23 22:22:17 2025 max relations containing the same ideal: 200
  49. Thu Oct 23 22:23:52 2025 removing 9017116 relations and 7017116 ideals in 2000000 cliques
  50. Thu Oct 23 22:23:58 2025 commencing in-memory singleton removal
  51. Thu Oct 23 22:24:15 2025 begin with 93489872 relations and 79912054 unique ideals
  52. Thu Oct 23 22:26:29 2025 reduce to 92848745 relations and 72237996 ideals in 8 passes
  53. Thu Oct 23 22:26:29 2025 max relations containing the same ideal: 197
  54. Thu Oct 23 22:27:53 2025 removing 7091524 relations and 5091524 ideals in 2000000 cliques
  55. Thu Oct 23 22:27:58 2025 commencing in-memory singleton removal
  56. Thu Oct 23 22:28:12 2025 begin with 85757221 relations and 72237996 unique ideals
  57. Thu Oct 23 22:30:18 2025 reduce to 85315753 relations and 66695279 ideals in 8 passes
  58. Thu Oct 23 22:30:18 2025 max relations containing the same ideal: 188
  59. Thu Oct 23 22:31:35 2025 removing 6558361 relations and 4558361 ideals in 2000000 cliques
  60. Thu Oct 23 22:31:40 2025 commencing in-memory singleton removal
  61. Thu Oct 23 22:31:53 2025 begin with 78757392 relations and 66695279 unique ideals
  62. Thu Oct 23 22:33:32 2025 reduce to 78361535 relations and 61732248 ideals in 7 passes
  63. Thu Oct 23 22:33:32 2025 max relations containing the same ideal: 179
  64. Thu Oct 23 22:34:41 2025 removing 6296820 relations and 4296820 ideals in 2000000 cliques
  65. Thu Oct 23 22:34:45 2025 commencing in-memory singleton removal
  66. Thu Oct 23 22:34:58 2025 begin with 72064715 relations and 61732248 unique ideals
  67. Thu Oct 23 22:36:15 2025 reduce to 71681111 relations and 57042852 ideals in 6 passes
  68. Thu Oct 23 22:36:15 2025 max relations containing the same ideal: 169
  69. Thu Oct 23 22:37:21 2025 removing 6139725 relations and 4139725 ideals in 2000000 cliques
  70. Thu Oct 23 22:37:26 2025 commencing in-memory singleton removal
  71. Thu Oct 23 22:37:36 2025 begin with 65541386 relations and 57042852 unique ideals
  72. Thu Oct 23 22:39:08 2025 reduce to 65152934 relations and 52504891 ideals in 8 passes
  73. Thu Oct 23 22:39:08 2025 max relations containing the same ideal: 158
  74. Thu Oct 23 22:40:06 2025 removing 6050590 relations and 4050590 ideals in 2000000 cliques
  75. Thu Oct 23 22:40:10 2025 commencing in-memory singleton removal
  76. Thu Oct 23 22:40:20 2025 begin with 59102344 relations and 52504891 unique ideals
  77. Thu Oct 23 22:41:21 2025 reduce to 58695489 relations and 48036149 ideals in 6 passes
  78. Thu Oct 23 22:41:21 2025 max relations containing the same ideal: 146
  79. Thu Oct 23 22:42:12 2025 removing 6003570 relations and 4003570 ideals in 2000000 cliques
  80. Thu Oct 23 22:42:16 2025 commencing in-memory singleton removal
  81. Thu Oct 23 22:42:23 2025 begin with 52691919 relations and 48036149 unique ideals
  82. Thu Oct 23 22:43:25 2025 reduce to 52255377 relations and 43582994 ideals in 7 passes
  83. Thu Oct 23 22:43:25 2025 max relations containing the same ideal: 139
  84. Thu Oct 23 22:44:12 2025 removing 5982416 relations and 3982416 ideals in 2000000 cliques
  85. Thu Oct 23 22:44:16 2025 commencing in-memory singleton removal
  86. Thu Oct 23 22:44:23 2025 begin with 46272961 relations and 43582994 unique ideals
  87. Thu Oct 23 22:45:17 2025 reduce to 45791697 relations and 39102892 ideals in 7 passes
  88. Thu Oct 23 22:45:17 2025 max relations containing the same ideal: 125
  89. Thu Oct 23 22:45:55 2025 removing 5996375 relations and 3996375 ideals in 2000000 cliques
  90. Thu Oct 23 22:45:59 2025 commencing in-memory singleton removal
  91. Thu Oct 23 22:46:05 2025 begin with 39795322 relations and 39102892 unique ideals
  92. Thu Oct 23 22:46:50 2025 reduce to 39242999 relations and 34533164 ideals in 7 passes
  93. Thu Oct 23 22:46:50 2025 max relations containing the same ideal: 112
  94. Thu Oct 23 22:47:25 2025 removing 6035254 relations and 4035254 ideals in 2000000 cliques
  95. Thu Oct 23 22:47:28 2025 commencing in-memory singleton removal
  96. Thu Oct 23 22:47:33 2025 begin with 33207745 relations and 34533164 unique ideals
  97. Thu Oct 23 22:48:18 2025 reduce to 32549985 relations and 29810906 ideals in 9 passes
  98. Thu Oct 23 22:48:18 2025 max relations containing the same ideal: 99
  99. Thu Oct 23 22:48:47 2025 removing 6105201 relations and 4105201 ideals in 2000000 cliques
  100. Thu Oct 23 22:48:49 2025 commencing in-memory singleton removal
  101. Thu Oct 23 22:48:53 2025 begin with 26444784 relations and 29810906 unique ideals
  102. Thu Oct 23 22:49:32 2025 reduce to 25613078 relations and 24828834 ideals in 10 passes
  103. Thu Oct 23 22:49:32 2025 max relations containing the same ideal: 87
  104. Thu Oct 23 22:49:56 2025 removing 977344 relations and 777703 ideals in 199641 cliques
  105. Thu Oct 23 22:49:57 2025 commencing in-memory singleton removal
  106. Thu Oct 23 22:50:01 2025 begin with 24635734 relations and 24828834 unique ideals
  107. Thu Oct 23 22:50:27 2025 reduce to 24602050 relations and 24017164 ideals in 7 passes
  108. Thu Oct 23 22:50:27 2025 max relations containing the same ideal: 85
  109. Thu Oct 23 22:50:56 2025 relations with 0 large ideals: 38501
  110. Thu Oct 23 22:50:56 2025 relations with 1 large ideals: 7756
  111. Thu Oct 23 22:50:56 2025 relations with 2 large ideals: 87671
  112. Thu Oct 23 22:50:56 2025 relations with 3 large ideals: 590719
  113. Thu Oct 23 22:50:56 2025 relations with 4 large ideals: 2169906
  114. Thu Oct 23 22:50:56 2025 relations with 5 large ideals: 4734964
  115. Thu Oct 23 22:50:56 2025 relations with 6 large ideals: 6454619
  116. Thu Oct 23 22:50:56 2025 relations with 7+ large ideals: 10517914
  117. Thu Oct 23 22:50:56 2025 commencing 2-way merge
  118. Thu Oct 23 22:51:23 2025 reduce to 16323054 relation sets and 15738168 unique ideals
  119. Thu Oct 23 22:51:23 2025 commencing full merge
  120. Thu Oct 23 23:02:50 2025 memory use: 2199.5 MB
  121. Thu Oct 23 23:02:53 2025 found 7481414 cycles, need 7462368
  122. Thu Oct 23 23:02:57 2025 weight of 7462368 cycles is about 836352852 (112.08/cycle)
  123. Thu Oct 23 23:02:57 2025 distribution of cycle lengths:
  124. Thu Oct 23 23:02:57 2025 1 relations: 385939
  125. Thu Oct 23 23:02:57 2025 2 relations: 481993
  126. Thu Oct 23 23:02:57 2025 3 relations: 543368
  127. Thu Oct 23 23:02:57 2025 4 relations: 551981
  128. Thu Oct 23 23:02:57 2025 5 relations: 561559
  129. Thu Oct 23 23:02:57 2025 6 relations: 551130
  130. Thu Oct 23 23:02:57 2025 7 relations: 533857
  131. Thu Oct 23 23:02:57 2025 8 relations: 505848
  132. Thu Oct 23 23:02:57 2025 9 relations: 469841
  133. Thu Oct 23 23:02:57 2025 10+ relations: 2876852
  134. Thu Oct 23 23:02:57 2025 heaviest cycle: 28 relations
  135. Thu Oct 23 23:03:01 2025 commencing cycle optimization
  136. Thu Oct 23 23:03:31 2025 start with 65020945 relations
  137. Thu Oct 23 23:07:48 2025 pruned 3057176 relations
  138. Thu Oct 23 23:07:48 2025 memory use: 1690.8 MB
  139. Thu Oct 23 23:07:48 2025 distribution of cycle lengths:
  140. Thu Oct 23 23:07:48 2025 1 relations: 385939
  141. Thu Oct 23 23:07:48 2025 2 relations: 492481
  142. Thu Oct 23 23:07:48 2025 3 relations: 564770
  143. Thu Oct 23 23:07:48 2025 4 relations: 574184
  144. Thu Oct 23 23:07:48 2025 5 relations: 589261
  145. Thu Oct 23 23:07:48 2025 6 relations: 578168
  146. Thu Oct 23 23:07:48 2025 7 relations: 562437
  147. Thu Oct 23 23:07:48 2025 8 relations: 531121
  148. Thu Oct 23 23:07:48 2025 9 relations: 491707
  149. Thu Oct 23 23:07:48 2025 10+ relations: 2692300
  150. Thu Oct 23 23:07:48 2025 heaviest cycle: 28 relations
  151. Thu Oct 23 23:08:11 2025 RelProcTime: 7535
  152. Thu Oct 23 23:08:11 2025
  153. Thu Oct 23 23:08:11 2025 commencing linear algebra
  154. Thu Oct 23 23:08:11 2025 using VBITS=512
  155. Thu Oct 23 23:08:13 2025 read 7462368 cycles
  156. Thu Oct 23 23:08:37 2025 cycles contain 24299024 unique relations
  157. Thu Oct 23 23:12:09 2025 read 24299024 relations
  158. Thu Oct 23 23:13:18 2025 using 20 quadratic characters above 4294917295
  159. Thu Oct 23 23:15:45 2025 building initial matrix
  160. Thu Oct 23 23:26:37 2025 memory use: 2968.3 MB
  161. Thu Oct 23 23:26:48 2025 read 7462368 cycles
  162. Thu Oct 23 23:26:49 2025 matrix is 7462191 x 7462368 (3265.0 MB) with weight 924680178 (123.91/col)
  163. Thu Oct 23 23:26:49 2025 sparse part has weight 781278279 (104.70/col)
  164. Thu Oct 23 23:29:23 2025 filtering completed in 2 passes
  165. Thu Oct 23 23:29:25 2025 matrix is 7462041 x 7462184 (3265.0 MB) with weight 924674379 (123.91/col)
  166. Thu Oct 23 23:29:25 2025 sparse part has weight 781275846 (104.70/col)
  167. Thu Oct 23 23:30:12 2025 matrix starts at (0, 0)
  168. Thu Oct 23 23:30:14 2025 matrix is 7462041 x 7462184 (3265.0 MB) with weight 924674379 (123.91/col)
  169. Thu Oct 23 23:30:14 2025 sparse part has weight 781275846 (104.70/col)
  170. Thu Oct 23 23:30:14 2025 saving the first 496 matrix rows for later
  171. Thu Oct 23 23:30:19 2025 matrix includes 512 packed rows
  172. Thu Oct 23 23:30:29 2025 matrix is 7461545 x 7462184 (3105.9 MB) with weight 671237926 (89.95/col)
  173. Thu Oct 23 23:30:29 2025 sparse part has weight 635103237 (85.11/col)
  174. Fri Oct 24 00:28:24 2025
  175. Fri Oct 24 00:28:24 2025
  176. Fri Oct 24 00:28:24 2025 Msieve v. 1.54 (SVN unknown)
  177. Fri Oct 24 00:28:24 2025 random seeds: d3c3c6a0 304aacb2
  178. Fri Oct 24 00:28:24 2025 factoring 456698944827011095573748424123730388431728000266774648424746050505805456222696131015379029910421605277816174967967195602146038656031775495129213988840264474620161870048014414205366750102601416852540026168587 (207 digits)
  179. Fri Oct 24 00:28:25 2025 no P-1/P+1/ECM available, skipping
  180. Fri Oct 24 00:28:25 2025 commencing number field sieve (207-digit input)
  181. Fri Oct 24 00:28:25 2025 R0: 2892582051531301325756710295297492469530
  182. Fri Oct 24 00:28:25 2025 R1: -53782730049071526523
  183. Fri Oct 24 00:28:25 2025 A0: -1
  184. Fri Oct 24 00:28:25 2025 A1: 3
  185. Fri Oct 24 00:28:25 2025 A2: 6
  186. Fri Oct 24 00:28:25 2025 A3: -4
  187. Fri Oct 24 00:28:25 2025 A4: -5
  188. Fri Oct 24 00:28:25 2025 A5: 1
  189. Fri Oct 24 00:28:25 2025 A6: 1
  190. Fri Oct 24 00:28:25 2025 skew 1.37, size 1.197e-11, alpha 3.126, combined = 7.161e-13 rroots = 6
  191. Fri Oct 24 00:28:25 2025
  192. Fri Oct 24 00:28:25 2025 commencing linear algebra
  193. Fri Oct 24 00:28:25 2025 using VBITS=512
  194. Fri Oct 24 00:28:25 2025 skipping matrix build
  195. Fri Oct 24 00:28:27 2025 matrix starts at (0, 0)
  196. Fri Oct 24 00:28:28 2025 matrix is 7462041 x 7462184 (3265.0 MB) with weight 924674379 (123.91/col)
  197. Fri Oct 24 00:28:28 2025 sparse part has weight 781275846 (104.70/col)
  198. Fri Oct 24 00:28:28 2025 saving the first 496 matrix rows for later
  199. Fri Oct 24 00:28:30 2025 matrix includes 512 packed rows
  200. Fri Oct 24 00:28:34 2025 matrix is 7461545 x 7462184 (3105.9 MB) with weight 671237926 (89.95/col)
  201. Fri Oct 24 00:28:34 2025 sparse part has weight 635103237 (85.11/col)
  202. Fri Oct 24 00:28:35 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  203. Fri Oct 24 00:28:35 2025 selected card has CUDA arch 8.6
  204. Fri Oct 24 00:29:18 2025 commencing Lanczos iteration
  205. Fri Oct 24 00:29:19 2025 memory use: 8603.0 MB
  206. Fri Oct 24 00:29:46 2025 linear algebra at 0.2%, ETA 3h38m
  207. Fri Oct 24 00:29:47 2025 checkpointing every 2040000 dimensions
  208. Fri Oct 24 04:28:02 2025 lanczos halted after 14597 iterations (dim = 7461543)
  209. Fri Oct 24 04:29:49 2025 recovered 33 nontrivial dependencies
  210. Fri Oct 24 04:29:49 2025 BLanczosTime: 14484
  211. Fri Oct 24 04:29:49 2025 elapsed time 04:01:25
  212. Fri Oct 24 09:53:38 2025
  213. Fri Oct 24 09:53:38 2025
  214. Fri Oct 24 09:53:38 2025 Msieve v. 1.54 (SVN unknown)
  215. Fri Oct 24 09:53:38 2025 random seeds: f8ce6996 ac34eb39
  216. Fri Oct 24 09:53:38 2025 factoring 456698944827011095573748424123730388431728000266774648424746050505805456222696131015379029910421605277816174967967195602146038656031775495129213988840264474620161870048014414205366750102601416852540026168587 (207 digits)
  217. Fri Oct 24 09:53:38 2025 no P-1/P+1/ECM available, skipping
  218. Fri Oct 24 09:53:38 2025 commencing number field sieve (207-digit input)
  219. Fri Oct 24 09:53:38 2025 R0: 2892582051531301325756710295297492469530
  220. Fri Oct 24 09:53:38 2025 R1: -53782730049071526523
  221. Fri Oct 24 09:53:38 2025 A0: -1
  222. Fri Oct 24 09:53:38 2025 A1: 3
  223. Fri Oct 24 09:53:38 2025 A2: 6
  224. Fri Oct 24 09:53:38 2025 A3: -4
  225. Fri Oct 24 09:53:38 2025 A4: -5
  226. Fri Oct 24 09:53:38 2025 A5: 1
  227. Fri Oct 24 09:53:38 2025 A6: 1
  228. Fri Oct 24 09:53:38 2025 skew 1.37, size 1.197e-11, alpha 3.126, combined = 7.161e-13 rroots = 6
  229. Fri Oct 24 09:53:38 2025
  230. Fri Oct 24 09:53:38 2025 commencing square root phase
  231. Fri Oct 24 09:53:38 2025 reading relations for dependency 1
  232. Fri Oct 24 09:53:39 2025 read 3731754 cycles
  233. Fri Oct 24 09:53:45 2025 cycles contain 12150738 unique relations
  234. Fri Oct 24 09:54:43 2025 read 12150738 relations
  235. Fri Oct 24 09:55:25 2025 multiplying 12150738 relations
  236. Fri Oct 24 10:01:06 2025 multiply complete, coefficients have about 297.84 million bits
  237. Fri Oct 24 10:01:08 2025 initial square root is modulo 220903
  238. Fri Oct 24 10:07:45 2025 sqrtTime: 847
  239. Fri Oct 24 10:07:45 2025 p95 factor: 14486941352430517919196133579886246526266756657220383025533337274730133509358425583526121867221
  240. Fri Oct 24 10:07:45 2025 p113 factor: 31524870137642224513035521842451008800720775138714123734972980753238148424450725246766485716718101791845363665247
  241. Fri Oct 24 10:07:45 2025 elapsed time 00:14:07
  242.  
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