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  1. Wed Dec 17 06:23:49 2025
  2. Wed Dec 17 06:23:49 2025
  3. Wed Dec 17 06:23:49 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Dec 17 06:23:49 2025 random seeds: f938b429 57a81ba2
  5. Wed Dec 17 06:23:49 2025 Using 8 OpenMP threads
  6. Wed Dec 17 06:23:49 2025 factoring 626333914172759691137816541831551857907680695802511400846623879077807747565591418055115813548354780920457246186068945245944848046835410062615825000038284823833412246553434329 (174 digits)
  7. Wed Dec 17 06:23:49 2025 searching for 15-digit factors
  8. Wed Dec 17 06:23:50 2025 commencing number field sieve (174-digit input)
  9. Wed Dec 17 06:23:50 2025 R0: -4147264733639024281029008869223249
  10. Wed Dec 17 06:23:50 2025 R1: 2565865625686722875653
  11. Wed Dec 17 06:23:50 2025 A0: -75061570140520119474650887614288885432000
  12. Wed Dec 17 06:23:50 2025 A1: 23499554046682465725652387673974521
  13. Wed Dec 17 06:23:50 2025 A2: 5005828396930153874102168842
  14. Wed Dec 17 06:23:50 2025 A3: -477461388755446189391
  15. Wed Dec 17 06:23:50 2025 A4: -54102670756232
  16. Wed Dec 17 06:23:50 2025 A5: 2042040
  17. Wed Dec 17 06:23:50 2025 skew 10319757.37, size 7.241e-17, alpha -7.301, combined = 2.413e-13 rroots = 5
  18. Wed Dec 17 06:23:50 2025
  19. Wed Dec 17 06:23:50 2025 commencing relation filtering
  20. Wed Dec 17 06:23:50 2025 estimated available RAM is 78540.1 MB
  21. Wed Dec 17 06:23:50 2025 commencing duplicate removal, pass 1
  22. Wed Dec 17 06:24:51 2025 error -1 reading relation 40249186
  23. Wed Dec 17 06:24:52 2025 error -1 reading relation 40748688
  24. Wed Dec 17 06:25:41 2025 error -1 reading relation 75952078
  25. Wed Dec 17 06:26:05 2025 error -1 reading relation 93330129
  26. Wed Dec 17 06:26:10 2025 error -15 reading relation 96926243
  27. Wed Dec 17 06:26:27 2025 error -1 reading relation 107917739
  28. Wed Dec 17 06:26:40 2025 error -15 reading relation 121684859
  29. Wed Dec 17 06:26:40 2025 error -1 reading relation 121684860
  30. Wed Dec 17 06:26:56 2025 error -1 reading relation 133653000
  31. Wed Dec 17 06:27:26 2025 error -1 reading relation 159510475
  32. Wed Dec 17 06:27:30 2025 error -1 reading relation 163094215
  33. Wed Dec 17 06:27:31 2025 error -1 reading relation 163764117
  34. Wed Dec 17 06:27:32 2025 error -1 reading relation 164334492
  35. Wed Dec 17 06:27:32 2025 error -1 reading relation 164894211
  36. Wed Dec 17 06:27:32 2025 error -1 reading relation 164968492
  37. Wed Dec 17 06:27:32 2025 error -1 reading relation 167207883
  38. Wed Dec 17 06:27:33 2025 error -1 reading relation 168215430
  39. Wed Dec 17 06:27:36 2025 error -1 reading relation 170130015
  40. Wed Dec 17 06:27:45 2025 error -1 reading relation 177940197
  41. Wed Dec 17 06:27:52 2025 error -1 reading relation 184378077
  42. Wed Dec 17 06:27:53 2025 error -1 reading relation 185600334
  43. Wed Dec 17 06:27:56 2025 error -1 reading relation 187839296
  44. Wed Dec 17 06:28:01 2025 error -1 reading relation 193981995
  45. Wed Dec 17 06:28:14 2025 error -1 reading relation 205110028
  46. Wed Dec 17 06:28:27 2025 error -1 reading relation 215900650
  47. Wed Dec 17 06:28:29 2025 error -1 reading relation 217736723
  48. Wed Dec 17 06:28:52 2025 error -1 reading relation 239237432
  49. Wed Dec 17 06:28:53 2025 error -1 reading relation 240220657
  50. Wed Dec 17 06:28:55 2025 error -1 reading relation 241627165
  51. Wed Dec 17 06:28:55 2025 error -1 reading relation 242060583
  52. Wed Dec 17 06:28:57 2025 error -1 reading relation 243647852
  53. Wed Dec 17 06:29:11 2025 error -1 reading relation 257979886
  54. Wed Dec 17 06:29:13 2025 error -1 reading relation 259172456
  55. Wed Dec 17 06:29:17 2025 error -1 reading relation 262225723
  56. Wed Dec 17 06:29:22 2025 error -1 reading relation 266609745
  57. Wed Dec 17 06:29:27 2025 error -1 reading relation 271455674
  58. Wed Dec 17 06:29:33 2025 error -1 reading relation 277534259
  59. Wed Dec 17 06:29:58 2025 error -1 reading relation 299238529
  60. Wed Dec 17 06:30:00 2025 error -1 reading relation 302710565
  61. Wed Dec 17 06:30:00 2025 error -15 reading relation 303275734
  62. Wed Dec 17 06:30:02 2025 error -1 reading relation 305179110
  63. Wed Dec 17 06:30:06 2025 error -1 reading relation 308198541
  64. Wed Dec 17 06:30:06 2025 error -1 reading relation 308514199
  65. Wed Dec 17 06:30:06 2025 error -1 reading relation 308825196
  66. Wed Dec 17 06:30:16 2025 error -1 reading relation 318138158
  67. Wed Dec 17 06:30:18 2025 error -1 reading relation 320528936
  68. Wed Dec 17 06:30:22 2025 error -1 reading relation 323610740
  69. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110693
  70. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110694
  71. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110697
  72. Wed Dec 17 06:30:23 2025 error -6 reading relation 325110701
  73. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110703
  74. Wed Dec 17 06:30:23 2025 error -5 reading relation 325110704
  75. Wed Dec 17 06:30:23 2025 error -6 reading relation 325110705
  76. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110706
  77. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110708
  78. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110709
  79. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110710
  80. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110712
  81. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110713
  82. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110714
  83. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110715
  84. Wed Dec 17 06:30:23 2025 error -5 reading relation 325110716
  85. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110718
  86. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110719
  87. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110722
  88. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110725
  89. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110726
  90. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110728
  91. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110729
  92. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110730
  93. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110733
  94. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110737
  95. Wed Dec 17 06:30:23 2025 error -5 reading relation 325110740
  96. Wed Dec 17 06:30:23 2025 error -5 reading relation 325110741
  97. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110742
  98. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110747
  99. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110749
  100. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110750
  101. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110751
  102. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110752
  103. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110753
  104. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110754
  105. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110758
  106. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110759
  107. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110760
  108. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110761
  109. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110762
  110. Wed Dec 17 06:30:23 2025 error -5 reading relation 325110763
  111. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110764
  112. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110765
  113. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110766
  114. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110767
  115. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110768
  116. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110769
  117. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110770
  118. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110771
  119. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110772
  120. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110773
  121. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110775
  122. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110776
  123. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110777
  124. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110778
  125. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110779
  126. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110780
  127. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110781
  128. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110782
  129. Wed Dec 17 06:30:23 2025 error -5 reading relation 325110783
  130. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110785
  131. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110786
  132. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110787
  133. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110790
  134. Wed Dec 17 06:30:23 2025 error -6 reading relation 325110791
  135. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110793
  136. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110795
  137. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110796
  138. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110798
  139. Wed Dec 17 06:30:23 2025 error -5 reading relation 325110799
  140. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110800
  141. Wed Dec 17 06:30:23 2025 error -6 reading relation 325110801
  142. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110803
  143. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110804
  144. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110805
  145. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110806
  146. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110807
  147. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110808
  148. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110809
  149. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110810
  150. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110811
  151. Wed Dec 17 06:30:23 2025 error -6 reading relation 325110813
  152. Wed Dec 17 06:30:23 2025 error -5 reading relation 325110814
  153. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110815
  154. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110816
  155. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110817
  156. Wed Dec 17 06:30:23 2025 error -5 reading relation 325110818
  157. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110820
  158. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110821
  159. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110822
  160. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110823
  161. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110824
  162. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110825
  163. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110827
  164. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110828
  165. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110829
  166. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110830
  167. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110832
  168. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110833
  169. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110834
  170. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110835
  171. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110837
  172. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110839
  173. Wed Dec 17 06:30:23 2025 error -1 reading relation 325110842
  174. <snip over 20k bad relations>
  175. Wed Dec 17 06:30:24 2025 error -1 reading relation 325133722
  176. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133723
  177. Wed Dec 17 06:30:24 2025 error -1 reading relation 325133725
  178. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133726
  179. Wed Dec 17 06:30:24 2025 error -1 reading relation 325133727
  180. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133728
  181. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133731
  182. Wed Dec 17 06:30:24 2025 error -1 reading relation 325133736
  183. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133737
  184. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133738
  185. Wed Dec 17 06:30:24 2025 error -1 reading relation 325133739
  186. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133740
  187. Wed Dec 17 06:30:24 2025 error -1 reading relation 325133743
  188. Wed Dec 17 06:30:24 2025 error -1 reading relation 325133744
  189. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133748
  190. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133749
  191. Wed Dec 17 06:30:24 2025 error -1 reading relation 325133751
  192. Wed Dec 17 06:30:24 2025 error -11 reading relation 325133752
  193. Wed Dec 17 06:30:24 2025 error -1 reading relation 325390483
  194. Wed Dec 17 06:30:26 2025 error -1 reading relation 327172820
  195. Wed Dec 17 06:30:28 2025 error -1 reading relation 329496890
  196. Wed Dec 17 06:30:40 2025 error -1 reading relation 341620725
  197. Wed Dec 17 06:30:45 2025 error -1 reading relation 346604905
  198. Wed Dec 17 06:30:45 2025 skipped 440 relations with b > 2^32
  199. Wed Dec 17 06:30:45 2025 skipped 3877 relations with composite factors
  200. Wed Dec 17 06:30:45 2025 skipped 665 malformed relations
  201. Wed Dec 17 06:30:45 2025 found 82037451 hash collisions in 346753001 relations
  202. Wed Dec 17 06:30:57 2025 added 121607 free relations
  203. Wed Dec 17 06:30:57 2025 commencing duplicate removal, pass 2
  204. Wed Dec 17 06:33:22 2025 found 93662851 duplicates and 253211757 unique relations
  205. Wed Dec 17 06:33:22 2025 memory use: 2643.0 MB
  206. Wed Dec 17 06:33:22 2025 reading ideals above 188022784
  207. Wed Dec 17 06:33:22 2025 commencing singleton removal, initial pass
  208. Wed Dec 17 06:40:06 2025 memory use: 5512.0 MB
  209. Wed Dec 17 06:40:07 2025 reading all ideals from disk
  210. Wed Dec 17 06:40:09 2025 memory use: 6415.2 MB
  211. Wed Dec 17 06:40:17 2025 commencing in-memory singleton removal
  212. Wed Dec 17 06:40:16 2025 begin with 253211757 relations and 211796552 unique ideals
  213. Wed Dec 17 06:40:33 2025 reduce to 160065511 relations and 109679264 ideals in 14 passes
  214. Wed Dec 17 06:40:33 2025 max relations containing the same ideal: 27
  215. Wed Dec 17 06:40:37 2025 reading ideals above 720000
  216. Wed Dec 17 06:40:37 2025 commencing singleton removal, initial pass
  217. Wed Dec 17 06:47:37 2025 memory use: 3012.0 MB
  218. Wed Dec 17 06:47:38 2025 reading all ideals from disk
  219. Wed Dec 17 06:47:42 2025 memory use: 7553.1 MB
  220. Wed Dec 17 06:47:53 2025 keeping 129780139 ideals with weight <= 200, target excess is 796906
  221. Wed Dec 17 06:48:07 2025 commencing in-memory singleton removal
  222. Wed Dec 17 06:48:07 2025 begin with 160065511 relations and 129780139 unique ideals
  223. Wed Dec 17 06:48:23 2025 reduce to 160030428 relations and 129745052 ideals in 9 passes
  224. Wed Dec 17 06:48:23 2025 max relations containing the same ideal: 200
  225. Wed Dec 17 06:49:08 2025 removing 11389792 relations and 9389792 ideals in 2000000 cliques
  226. Wed Dec 17 06:49:12 2025 commencing in-memory singleton removal
  227. Wed Dec 17 06:49:15 2025 begin with 148640636 relations and 129745052 unique ideals
  228. Wed Dec 17 06:49:28 2025 reduce to 147982591 relations and 119686163 ideals in 8 passes
  229. Wed Dec 17 06:49:28 2025 max relations containing the same ideal: 197
  230. Wed Dec 17 06:50:08 2025 removing 8702890 relations and 6702890 ideals in 2000000 cliques
  231. Wed Dec 17 06:50:12 2025 commencing in-memory singleton removal
  232. Wed Dec 17 06:50:14 2025 begin with 139279701 relations and 119686163 unique ideals
  233. Wed Dec 17 06:50:26 2025 reduce to 138846241 relations and 112543559 ideals in 8 passes
  234. Wed Dec 17 06:50:26 2025 max relations containing the same ideal: 191
  235. Wed Dec 17 06:51:02 2025 removing 7889613 relations and 5889613 ideals in 2000000 cliques
  236. Wed Dec 17 06:51:05 2025 commencing in-memory singleton removal
  237. Wed Dec 17 06:51:07 2025 begin with 130956628 relations and 112543559 unique ideals
  238. Wed Dec 17 06:51:18 2025 reduce to 130576282 relations and 106268126 ideals in 7 passes
  239. Wed Dec 17 06:51:18 2025 max relations containing the same ideal: 184
  240. Wed Dec 17 06:51:55 2025 removing 7471428 relations and 5471428 ideals in 2000000 cliques
  241. Wed Dec 17 06:51:58 2025 commencing in-memory singleton removal
  242. Wed Dec 17 06:52:00 2025 begin with 123104854 relations and 106268126 unique ideals
  243. Wed Dec 17 06:52:07 2025 reduce to 122747032 relations and 100433706 ideals in 7 passes
  244. Wed Dec 17 06:52:07 2025 max relations containing the same ideal: 177
  245. Wed Dec 17 06:52:42 2025 removing 7215719 relations and 5215719 ideals in 2000000 cliques
  246. Wed Dec 17 06:52:44 2025 commencing in-memory singleton removal
  247. Wed Dec 17 06:52:46 2025 begin with 115531313 relations and 100433706 unique ideals
  248. Wed Dec 17 06:52:56 2025 reduce to 115182840 relations and 94864234 ideals in 8 passes
  249. Wed Dec 17 06:52:56 2025 max relations containing the same ideal: 171
  250. Wed Dec 17 06:53:29 2025 removing 7051631 relations and 5051631 ideals in 2000000 cliques
  251. Wed Dec 17 06:53:31 2025 commencing in-memory singleton removal
  252. Wed Dec 17 06:53:30 2025 begin with 108131209 relations and 94864234 unique ideals
  253. Wed Dec 17 06:53:38 2025 reduce to 107781579 relations and 89457450 ideals in 7 passes
  254. Wed Dec 17 06:53:38 2025 max relations containing the same ideal: 162
  255. Wed Dec 17 06:54:12 2025 removing 6937887 relations and 4937887 ideals in 2000000 cliques
  256. Wed Dec 17 06:54:14 2025 commencing in-memory singleton removal
  257. Wed Dec 17 06:54:15 2025 begin with 100843692 relations and 89457450 unique ideals
  258. Wed Dec 17 06:54:17 2025 reduce to 100487427 relations and 84157299 ideals in 6 passes
  259. Wed Dec 17 06:54:17 2025 max relations containing the same ideal: 157
  260. Wed Dec 17 06:54:47 2025 removing 6868597 relations and 4868597 ideals in 2000000 cliques
  261. Wed Dec 17 06:54:50 2025 commencing in-memory singleton removal
  262. Wed Dec 17 06:54:51 2025 begin with 93618830 relations and 84157299 unique ideals
  263. Wed Dec 17 06:54:58 2025 reduce to 93248113 relations and 78911603 ideals in 7 passes
  264. Wed Dec 17 06:54:58 2025 max relations containing the same ideal: 152
  265. Wed Dec 17 06:55:25 2025 removing 6827563 relations and 4827563 ideals in 2000000 cliques
  266. Wed Dec 17 06:55:27 2025 commencing in-memory singleton removal
  267. Wed Dec 17 06:55:28 2025 begin with 86420550 relations and 78911603 unique ideals
  268. Wed Dec 17 06:55:35 2025 reduce to 86033444 relations and 73689585 ideals in 7 passes
  269. Wed Dec 17 06:55:35 2025 max relations containing the same ideal: 142
  270. Wed Dec 17 06:56:02 2025 removing 6813944 relations and 4813944 ideals in 2000000 cliques
  271. Wed Dec 17 06:56:04 2025 commencing in-memory singleton removal
  272. Wed Dec 17 06:56:05 2025 begin with 79219500 relations and 73689585 unique ideals
  273. Wed Dec 17 06:56:11 2025 reduce to 78805428 relations and 68453172 ideals in 6 passes
  274. Wed Dec 17 06:56:11 2025 max relations containing the same ideal: 133
  275. Wed Dec 17 06:56:34 2025 removing 6822506 relations and 4822506 ideals in 2000000 cliques
  276. Wed Dec 17 06:56:36 2025 commencing in-memory singleton removal
  277. Wed Dec 17 06:56:37 2025 begin with 71982922 relations and 68453172 unique ideals
  278. Wed Dec 17 06:56:44 2025 reduce to 71533653 relations and 63171531 ideals in 9 passes
  279. Wed Dec 17 06:56:44 2025 max relations containing the same ideal: 126
  280. Wed Dec 17 06:57:06 2025 removing 6854435 relations and 4854435 ideals in 2000000 cliques
  281. Wed Dec 17 06:57:08 2025 commencing in-memory singleton removal
  282. Wed Dec 17 06:57:09 2025 begin with 64679218 relations and 63171531 unique ideals
  283. Wed Dec 17 06:57:15 2025 reduce to 64184327 relations and 57810304 ideals in 9 passes
  284. Wed Dec 17 06:57:15 2025 max relations containing the same ideal: 115
  285. Wed Dec 17 06:57:34 2025 removing 6904561 relations and 4904561 ideals in 2000000 cliques
  286. Wed Dec 17 06:57:36 2025 commencing in-memory singleton removal
  287. Wed Dec 17 06:57:37 2025 begin with 57279766 relations and 57810304 unique ideals
  288. Wed Dec 17 06:57:42 2025 reduce to 56721999 relations and 52333386 ideals in 8 passes
  289. Wed Dec 17 06:57:42 2025 max relations containing the same ideal: 107
  290. Wed Dec 17 06:58:00 2025 removing 6981242 relations and 4981242 ideals in 2000000 cliques
  291. Wed Dec 17 06:58:02 2025 commencing in-memory singleton removal
  292. Wed Dec 17 06:58:03 2025 begin with 49740757 relations and 52333386 unique ideals
  293. Wed Dec 17 06:58:07 2025 reduce to 49096475 relations and 46688485 ideals in 8 passes
  294. Wed Dec 17 06:58:07 2025 max relations containing the same ideal: 103
  295. Wed Dec 17 06:58:22 2025 removing 5583681 relations and 4100102 ideals in 1483579 cliques
  296. Wed Dec 17 06:58:23 2025 commencing in-memory singleton removal
  297. Wed Dec 17 06:58:24 2025 begin with 43512794 relations and 46688485 unique ideals
  298. Wed Dec 17 06:58:27 2025 reduce to 43037023 relations and 42100190 ideals in 8 passes
  299. Wed Dec 17 06:58:27 2025 max relations containing the same ideal: 94
  300. Wed Dec 17 06:58:43 2025 removing 98802 relations and 86380 ideals in 12422 cliques
  301. Wed Dec 17 06:58:44 2025 commencing in-memory singleton removal
  302. Wed Dec 17 06:58:45 2025 begin with 42938221 relations and 42100190 unique ideals
  303. Wed Dec 17 06:58:46 2025 reduce to 42938093 relations and 42013682 ideals in 4 passes
  304. Wed Dec 17 06:58:46 2025 max relations containing the same ideal: 94
  305. Wed Dec 17 06:58:48 2025 relations with 0 large ideals: 2752
  306. Wed Dec 17 06:58:48 2025 relations with 1 large ideals: 12099
  307. Wed Dec 17 06:58:48 2025 relations with 2 large ideals: 183291
  308. Wed Dec 17 06:58:48 2025 relations with 3 large ideals: 1204653
  309. Wed Dec 17 06:58:48 2025 relations with 4 large ideals: 4270661
  310. Wed Dec 17 06:58:48 2025 relations with 5 large ideals: 9002291
  311. Wed Dec 17 06:58:48 2025 relations with 6 large ideals: 11877457
  312. Wed Dec 17 06:58:48 2025 relations with 7+ large ideals: 16384889
  313. Wed Dec 17 06:58:48 2025 commencing 2-way merge
  314. Wed Dec 17 06:59:10 2025 reduce to 27664292 relation sets and 26739881 unique ideals
  315. Wed Dec 17 06:59:10 2025 commencing full merge
  316. Wed Dec 17 07:05:51 2025 memory use: 3188.7 MB
  317. Wed Dec 17 07:05:54 2025 found 13693831 cycles, need 13572081
  318. Wed Dec 17 07:05:58 2025 weight of 13572081 cycles is about 1221676058 (90.01/cycle)
  319. Wed Dec 17 07:05:59 2025 distribution of cycle lengths:
  320. Wed Dec 17 07:05:59 2025 1 relations: 1074229
  321. Wed Dec 17 07:05:59 2025 2 relations: 1281543
  322. Wed Dec 17 07:05:59 2025 3 relations: 1373895
  323. Wed Dec 17 07:05:59 2025 4 relations: 1329862
  324. Wed Dec 17 07:05:59 2025 5 relations: 1294941
  325. Wed Dec 17 07:05:59 2025 6 relations: 1227399
  326. Wed Dec 17 07:05:59 2025 7 relations: 1124640
  327. Wed Dec 17 07:05:59 2025 8 relations: 996016
  328. Wed Dec 17 07:05:59 2025 9 relations: 858027
  329. Wed Dec 17 07:05:59 2025 10+ relations: 3011529
  330. Wed Dec 17 07:05:59 2025 heaviest cycle: 22 relations
  331. Wed Dec 17 07:06:02 2025 commencing cycle optimization
  332. Wed Dec 17 07:06:22 2025 start with 88336194 relations
  333. Wed Dec 17 07:08:16 2025 pruned 2939712 relations
  334. Wed Dec 17 07:08:17 2025 memory use: 2685.6 MB
  335. Wed Dec 17 07:08:17 2025 distribution of cycle lengths:
  336. Wed Dec 17 07:08:17 2025 1 relations: 1074229
  337. Wed Dec 17 07:08:17 2025 2 relations: 1313336
  338. Wed Dec 17 07:08:17 2025 3 relations: 1429994
  339. Wed Dec 17 07:08:17 2025 4 relations: 1376656
  340. Wed Dec 17 07:08:17 2025 5 relations: 1345795
  341. Wed Dec 17 07:08:17 2025 6 relations: 1267332
  342. Wed Dec 17 07:08:17 2025 7 relations: 1158377
  343. Wed Dec 17 07:08:17 2025 8 relations: 1014536
  344. Wed Dec 17 07:08:17 2025 9 relations: 865287
  345. Wed Dec 17 07:08:17 2025 10+ relations: 2726539
  346. Wed Dec 17 07:08:17 2025 heaviest cycle: 22 relations
  347. Wed Dec 17 07:08:29 2025 RelProcTime: 2679
  348. Wed Dec 17 07:08:32 2025 elapsed time 00:44:43
  349. Wed Dec 17 07:09:41 2025
  350. Wed Dec 17 07:09:41 2025
  351. Wed Dec 17 07:09:41 2025 Msieve v. 1.54 (SVN Unversioned directory)
  352. Wed Dec 17 07:09:41 2025 random seeds: ee9a24fb ca7528f2
  353. Wed Dec 17 07:09:41 2025 Using 8 OpenMP threads
  354. Wed Dec 17 07:09:41 2025 factoring 626333914172759691137816541831551857907680695802511400846623879077807747565591418055115813548354780920457246186068945245944848046835410062615825000038284823833412246553434329 (174 digits)
  355. Wed Dec 17 07:09:42 2025 searching for 15-digit factors
  356. Wed Dec 17 07:09:42 2025 commencing number field sieve (174-digit input)
  357. Wed Dec 17 07:09:42 2025 R0: -4147264733639024281029008869223249
  358. Wed Dec 17 07:09:42 2025 R1: 2565865625686722875653
  359. Wed Dec 17 07:09:42 2025 A0: -75061570140520119474650887614288885432000
  360. Wed Dec 17 07:09:42 2025 A1: 23499554046682465725652387673974521
  361. Wed Dec 17 07:09:42 2025 A2: 5005828396930153874102168842
  362. Wed Dec 17 07:09:42 2025 A3: -477461388755446189391
  363. Wed Dec 17 07:09:42 2025 A4: -54102670756232
  364. Wed Dec 17 07:09:42 2025 A5: 2042040
  365. Wed Dec 17 07:09:42 2025 skew 10319757.37, size 7.241e-17, alpha -7.301, combined = 2.413e-13 rroots = 5
  366. Wed Dec 17 07:09:42 2025
  367. Wed Dec 17 07:09:42 2025 commencing linear algebra
  368. Wed Dec 17 07:09:42 2025 using VBITS=256
  369. Wed Dec 17 07:09:43 2025 read 13572081 cycles
  370. Wed Dec 17 07:09:57 2025 cycles contain 42386298 unique relations
  371. Wed Dec 17 07:10:29 2025 read 42386298 relations
  372. Wed Dec 17 07:10:41 2025 using 20 quadratic characters above 4294917295
  373. Wed Dec 17 07:10:56 2025 building initial matrix
  374. Wed Dec 17 07:17:17 2025 memory use: 6004.5 MB
  375. Wed Dec 17 07:17:19 2025 read 13572081 cycles
  376. Wed Dec 17 07:17:20 2025 matrix is 13571904 x 13572081 (5061.8 MB) with weight 1590023947 (117.15/col)
  377. Wed Dec 17 07:17:20 2025 sparse part has weight 1164065233 (85.77/col)
  378. Wed Dec 17 07:18:46 2025 filtering completed in 2 passes
  379. Wed Dec 17 07:18:49 2025 matrix is 13570094 x 13570271 (5061.7 MB) with weight 1589945314 (117.16/col)
  380. Wed Dec 17 07:18:49 2025 sparse part has weight 1164044811 (85.78/col)
  381. Wed Dec 17 07:19:26 2025 matrix starts at (0, 0)
  382. Wed Dec 17 07:19:27 2025 matrix is 13570094 x 13570271 (5061.7 MB) with weight 1589945314 (117.16/col)
  383. Wed Dec 17 07:19:27 2025 sparse part has weight 1164044811 (85.78/col)
  384. Wed Dec 17 07:19:27 2025 saving the first 240 matrix rows for later
  385. Wed Dec 17 07:19:29 2025 matrix includes 256 packed rows
  386. Wed Dec 17 07:19:32 2025 matrix is 13569854 x 13570271 (4668.9 MB) with weight 1072098037 (79.00/col)
  387. Wed Dec 17 07:19:32 2025 sparse part has weight 1006802026 (74.19/col)
  388. Wed Dec 17 07:19:32 2025 using GPU 0 (NVIDIA GeForce RTX 5070)
  389. Wed Dec 17 07:19:32 2025 selected card has CUDA arch 12.0
  390. Wed Dec 17 07:20:30 2025 commencing Lanczos iteration
  391. Wed Dec 17 07:20:31 2025 memory use: 11097.9 MB
  392. Wed Dec 17 07:21:06 2025 linear algebra at 0.2%, ETA 4h10m
  393. Wed Dec 17 07:21:57 2025 checking every 50000 dimensions, checkpointing every 3300000 dimensions
  394. Wed Dec 17 13:10:09 2025 lanczos halted after 53168 iterations (dim = 13569854)
  395. Wed Dec 17 13:10:49 2025 recovered 34 nontrivial dependencies
  396. Wed Dec 17 13:10:50 2025 BLanczosTime: 21668
  397. Wed Dec 17 13:10:50 2025 elapsed time 06:01:09
  398. Wed Dec 17 13:11:00 2025
  399. Wed Dec 17 13:11:00 2025
  400. Wed Dec 17 13:11:00 2025 Msieve v. 1.54 (SVN Unversioned directory)
  401. Wed Dec 17 13:11:00 2025 random seeds: 6cd8820c a30b08a2
  402. Wed Dec 17 13:11:00 2025 Using 8 OpenMP threads
  403. Wed Dec 17 13:11:00 2025 factoring 626333914172759691137816541831551857907680695802511400846623879077807747565591418055115813548354780920457246186068945245944848046835410062615825000038284823833412246553434329 (174 digits)
  404. Wed Dec 17 13:11:01 2025 searching for 15-digit factors
  405. Wed Dec 17 13:11:01 2025 commencing number field sieve (174-digit input)
  406. Wed Dec 17 13:11:01 2025 R0: -4147264733639024281029008869223249
  407. Wed Dec 17 13:11:01 2025 R1: 2565865625686722875653
  408. Wed Dec 17 13:11:01 2025 A0: -75061570140520119474650887614288885432000
  409. Wed Dec 17 13:11:01 2025 A1: 23499554046682465725652387673974521
  410. Wed Dec 17 13:11:01 2025 A2: 5005828396930153874102168842
  411. Wed Dec 17 13:11:01 2025 A3: -477461388755446189391
  412. Wed Dec 17 13:11:01 2025 A4: -54102670756232
  413. Wed Dec 17 13:11:01 2025 A5: 2042040
  414. Wed Dec 17 13:11:01 2025 skew 10319757.37, size 7.241e-17, alpha -7.301, combined = 2.413e-13 rroots = 5
  415. Wed Dec 17 13:11:01 2025
  416. Wed Dec 17 13:11:01 2025 commencing square root phase
  417. Wed Dec 17 13:11:01 2025 reading relations for dependency 1
  418. Wed Dec 17 13:11:02 2025 read 6787136 cycles
  419. Wed Dec 17 13:11:11 2025 cycles contain 21199128 unique relations
  420. Wed Dec 17 13:15:29 2025 read 21199128 relations
  421. Wed Dec 17 13:16:35 2025 multiplying 21199128 relations
  422. Wed Dec 17 13:18:50 2025 multiply complete, coefficients have about 1237.66 million bits
  423. Wed Dec 17 13:18:52 2025 initial square root is modulo 356333
  424. Wed Dec 17 13:23:21 2025 sqrtTime: 740
  425. Wed Dec 17 13:23:21 2025 p82 factor: 1587688887568656562247621327655561176504227511237746426999690831096680748950956887
  426. Wed Dec 17 13:23:21 2025 p93 factor: 394494109694192264565608905784262630974651631542400158719498621501025905459846681588872146767
  427. Wed Dec 17 13:23:21 2025 elapsed time 00:12:21
  428.  
Tags: math
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