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  1. Thu Dec 11 10:25:10 2025
  2. Thu Dec 11 10:25:10 2025
  3. Thu Dec 11 10:25:10 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Dec 11 10:25:10 2025 random seeds: 549ff135 939c83a2
  5. Thu Dec 11 10:25:10 2025 Using 8 OpenMP threads
  6. Thu Dec 11 10:25:10 2025 factoring 2211743893908184236250862085542975042493726217532168765306257684197399898445431297675627153752718511031255432669713919862039943342058149672752929650580196714800053 (163 digits)
  7. Thu Dec 11 10:25:10 2025 searching for 15-digit factors
  8. Thu Dec 11 10:25:11 2025 commencing number field sieve (163-digit input)
  9. Thu Dec 11 10:25:11 2025 R0: 54460548634364216935497138959767
  10. Thu Dec 11 10:25:11 2025 R1: -913831402516295886223
  11. Thu Dec 11 10:25:11 2025 A0: 787667927927956169738965129313448395040
  12. Thu Dec 11 10:25:11 2025 A1: 786520461492370637457057250021124
  13. Thu Dec 11 10:25:11 2025 A2: 60683050215277827330842359
  14. Thu Dec 11 10:25:11 2025 A3: -34749487130892509715
  15. Thu Dec 11 10:25:11 2025 A4: -401464032098
  16. Thu Dec 11 10:25:11 2025 A5: 9240
  17. Thu Dec 11 10:25:11 2025 skew 1.00, size 1.113e-15, alpha -7.440, combined = 6.206e-15 rroots = 5
  18. Thu Dec 11 10:25:11 2025
  19. Thu Dec 11 10:25:11 2025 commencing relation filtering
  20. Thu Dec 11 10:25:11 2025 estimated available RAM is 78540.1 MB
  21. Thu Dec 11 10:25:11 2025 commencing duplicate removal, pass 1
  22. Thu Dec 11 10:28:22 2025 error -1 reading relation 83283302
  23. Thu Dec 11 10:29:08 2025 error -1 reading relation 104789290
  24. Thu Dec 11 10:29:13 2025 error -1 reading relation 106754382
  25. Thu Dec 11 10:29:16 2025 error -1 reading relation 108151896
  26. Thu Dec 11 10:29:22 2025 error -1 reading relation 110875597
  27. Thu Dec 11 10:29:31 2025 error -1 reading relation 114814150
  28. Thu Dec 11 10:32:08 2025 error -1 reading relation 177436085
  29. Thu Dec 11 10:32:15 2025 error -1 reading relation 180530466
  30. Thu Dec 11 10:32:37 2025 error -1 reading relation 190004544
  31. Thu Dec 11 10:33:07 2025 error -1 reading relation 202907914
  32. Thu Dec 11 10:33:07 2025 error -1 reading relation 202965026
  33. Thu Dec 11 10:33:07 2025 error -1 reading relation 202993595
  34. Thu Dec 11 10:33:23 2025 error -1 reading relation 209807600
  35. Thu Dec 11 10:33:25 2025 error -1 reading relation 210393596
  36. Thu Dec 11 10:33:26 2025 error -1 reading relation 211092044
  37. Thu Dec 11 10:33:41 2025 skipped 103 malformed relations
  38. Thu Dec 11 10:33:41 2025 found 36324569 hash collisions in 217321565 relations
  39. Thu Dec 11 10:33:59 2025 added 121878 free relations
  40. Thu Dec 11 10:33:59 2025 commencing duplicate removal, pass 2
  41. Thu Dec 11 10:35:32 2025 found 33243816 duplicates and 184199627 unique relations
  42. Thu Dec 11 10:35:32 2025 memory use: 1321.5 MB
  43. Thu Dec 11 10:35:32 2025 reading ideals above 720000
  44. Thu Dec 11 10:35:32 2025 commencing singleton removal, initial pass
  45. Thu Dec 11 10:45:47 2025 memory use: 3012.0 MB
  46. Thu Dec 11 10:45:47 2025 reading all ideals from disk
  47. Thu Dec 11 10:45:50 2025 memory use: 8286.0 MB
  48. Thu Dec 11 10:45:59 2025 keeping 162027436 ideals with weight <= 200, target excess is 952508
  49. Thu Dec 11 10:46:12 2025 commencing in-memory singleton removal
  50. Thu Dec 11 10:46:14 2025 begin with 184199627 relations and 162027436 unique ideals
  51. Thu Dec 11 10:46:33 2025 reduce to 114312370 relations and 84670069 ideals in 13 passes
  52. Thu Dec 11 10:46:33 2025 max relations containing the same ideal: 153
  53. Thu Dec 11 10:47:02 2025 removing 9732174 relations and 7732174 ideals in 2000000 cliques
  54. Thu Dec 11 10:47:04 2025 commencing in-memory singleton removal
  55. Thu Dec 11 10:47:06 2025 begin with 104580196 relations and 84670069 unique ideals
  56. Thu Dec 11 10:47:16 2025 reduce to 103967455 relations and 76311476 ideals in 10 passes
  57. Thu Dec 11 10:47:16 2025 max relations containing the same ideal: 146
  58. Thu Dec 11 10:47:42 2025 removing 7418619 relations and 5418619 ideals in 2000000 cliques
  59. Thu Dec 11 10:47:44 2025 commencing in-memory singleton removal
  60. Thu Dec 11 10:47:46 2025 begin with 96548836 relations and 76311476 unique ideals
  61. Thu Dec 11 10:47:52 2025 reduce to 96133466 relations and 70469331 ideals in 7 passes
  62. Thu Dec 11 10:47:52 2025 max relations containing the same ideal: 140
  63. Thu Dec 11 10:48:17 2025 removing 6765349 relations and 4765349 ideals in 2000000 cliques
  64. Thu Dec 11 10:48:19 2025 commencing in-memory singleton removal
  65. Thu Dec 11 10:48:20 2025 begin with 89368117 relations and 70469331 unique ideals
  66. Thu Dec 11 10:48:26 2025 reduce to 89007755 relations and 65336594 ideals in 7 passes
  67. Thu Dec 11 10:48:26 2025 max relations containing the same ideal: 133
  68. Thu Dec 11 10:48:49 2025 removing 6427959 relations and 4427959 ideals in 2000000 cliques
  69. Thu Dec 11 10:48:51 2025 commencing in-memory singleton removal
  70. Thu Dec 11 10:48:52 2025 begin with 82579796 relations and 65336594 unique ideals
  71. Thu Dec 11 10:48:57 2025 reduce to 82245379 relations and 60567208 ideals in 7 passes
  72. Thu Dec 11 10:48:57 2025 max relations containing the same ideal: 128
  73. Thu Dec 11 10:49:19 2025 removing 6212429 relations and 4212429 ideals in 2000000 cliques
  74. Thu Dec 11 10:49:21 2025 commencing in-memory singleton removal
  75. Thu Dec 11 10:49:22 2025 begin with 76032950 relations and 60567208 unique ideals
  76. Thu Dec 11 10:49:27 2025 reduce to 75708543 relations and 56023198 ideals in 7 passes
  77. Thu Dec 11 10:49:27 2025 max relations containing the same ideal: 122
  78. Thu Dec 11 10:49:48 2025 removing 6058072 relations and 4058072 ideals in 2000000 cliques
  79. Thu Dec 11 10:49:50 2025 commencing in-memory singleton removal
  80. Thu Dec 11 10:49:50 2025 begin with 69650471 relations and 56023198 unique ideals
  81. Thu Dec 11 10:49:55 2025 reduce to 69327959 relations and 51635082 ideals in 7 passes
  82. Thu Dec 11 10:49:55 2025 max relations containing the same ideal: 112
  83. Thu Dec 11 10:50:14 2025 removing 5948174 relations and 3948174 ideals in 2000000 cliques
  84. Thu Dec 11 10:50:15 2025 commencing in-memory singleton removal
  85. Thu Dec 11 10:50:16 2025 begin with 63379785 relations and 51635082 unique ideals
  86. Thu Dec 11 10:50:19 2025 reduce to 63051783 relations and 47350363 ideals in 6 passes
  87. Thu Dec 11 10:50:19 2025 max relations containing the same ideal: 104
  88. Thu Dec 11 10:50:37 2025 removing 5865372 relations and 3865372 ideals in 2000000 cliques
  89. Thu Dec 11 10:50:38 2025 commencing in-memory singleton removal
  90. Thu Dec 11 10:50:39 2025 begin with 57186411 relations and 47350363 unique ideals
  91. Thu Dec 11 10:50:43 2025 reduce to 56845999 relations and 43134895 ideals in 7 passes
  92. Thu Dec 11 10:50:43 2025 max relations containing the same ideal: 97
  93. Thu Dec 11 10:50:59 2025 removing 5806410 relations and 3806410 ideals in 2000000 cliques
  94. Thu Dec 11 10:51:00 2025 commencing in-memory singleton removal
  95. Thu Dec 11 10:51:01 2025 begin with 51039589 relations and 43134895 unique ideals
  96. Thu Dec 11 10:51:04 2025 reduce to 50679851 relations and 38957638 ideals in 7 passes
  97. Thu Dec 11 10:51:04 2025 max relations containing the same ideal: 92
  98. Thu Dec 11 10:51:18 2025 removing 5766582 relations and 3766582 ideals in 2000000 cliques
  99. Thu Dec 11 10:51:19 2025 commencing in-memory singleton removal
  100. Thu Dec 11 10:51:19 2025 begin with 44913269 relations and 38957638 unique ideals
  101. Thu Dec 11 10:51:22 2025 reduce to 44526542 relations and 34791042 ideals in 7 passes
  102. Thu Dec 11 10:51:22 2025 max relations containing the same ideal: 87
  103. Thu Dec 11 10:51:35 2025 removing 5736322 relations and 3736322 ideals in 2000000 cliques
  104. Thu Dec 11 10:51:36 2025 commencing in-memory singleton removal
  105. Thu Dec 11 10:51:37 2025 begin with 38790220 relations and 34791042 unique ideals
  106. Thu Dec 11 10:51:39 2025 reduce to 38362961 relations and 30611035 ideals in 7 passes
  107. Thu Dec 11 10:51:39 2025 max relations containing the same ideal: 75
  108. Thu Dec 11 10:51:50 2025 removing 5724921 relations and 3724921 ideals in 2000000 cliques
  109. Thu Dec 11 10:51:51 2025 commencing in-memory singleton removal
  110. Thu Dec 11 10:51:52 2025 begin with 32638040 relations and 30611035 unique ideals
  111. Thu Dec 11 10:51:53 2025 reduce to 32154794 relations and 26381923 ideals in 7 passes
  112. Thu Dec 11 10:51:53 2025 max relations containing the same ideal: 67
  113. Thu Dec 11 10:52:03 2025 removing 5725612 relations and 3725612 ideals in 2000000 cliques
  114. Thu Dec 11 10:52:04 2025 commencing in-memory singleton removal
  115. Thu Dec 11 10:52:04 2025 begin with 26429182 relations and 26381923 unique ideals
  116. Thu Dec 11 10:52:06 2025 reduce to 25865727 relations and 22063550 ideals in 8 passes
  117. Thu Dec 11 10:52:06 2025 max relations containing the same ideal: 60
  118. Thu Dec 11 10:52:13 2025 removing 5720476 relations and 3720476 ideals in 2000000 cliques
  119. Thu Dec 11 10:52:15 2025 commencing in-memory singleton removal
  120. Thu Dec 11 10:52:15 2025 begin with 20145251 relations and 22063550 unique ideals
  121. Thu Dec 11 10:52:16 2025 reduce to 19449340 relations and 17601294 ideals in 9 passes
  122. Thu Dec 11 10:52:16 2025 max relations containing the same ideal: 48
  123. Thu Dec 11 10:52:22 2025 removing 2528637 relations and 1785501 ideals in 743136 cliques
  124. Thu Dec 11 10:52:22 2025 commencing in-memory singleton removal
  125. Thu Dec 11 10:52:23 2025 begin with 16920703 relations and 17601294 unique ideals
  126. Thu Dec 11 10:52:23 2025 reduce to 16689376 relations and 15576401 ideals in 8 passes
  127. Thu Dec 11 10:52:23 2025 max relations containing the same ideal: 43
  128. Thu Dec 11 10:52:28 2025 removing 51922 relations and 43857 ideals in 8065 cliques
  129. Thu Dec 11 10:52:29 2025 commencing in-memory singleton removal
  130. Thu Dec 11 10:52:29 2025 begin with 16637454 relations and 15576401 unique ideals
  131. Thu Dec 11 10:52:29 2025 reduce to 16637345 relations and 15532435 ideals in 4 passes
  132. Thu Dec 11 10:52:29 2025 max relations containing the same ideal: 43
  133. Thu Dec 11 10:52:30 2025 relations with 0 large ideals: 3096
  134. Thu Dec 11 10:52:30 2025 relations with 1 large ideals: 49607
  135. Thu Dec 11 10:52:30 2025 relations with 2 large ideals: 511462
  136. Thu Dec 11 10:52:30 2025 relations with 3 large ideals: 2060149
  137. Thu Dec 11 10:52:30 2025 relations with 4 large ideals: 4175666
  138. Thu Dec 11 10:52:30 2025 relations with 5 large ideals: 4763983
  139. Thu Dec 11 10:52:30 2025 relations with 6 large ideals: 3285634
  140. Thu Dec 11 10:52:30 2025 relations with 7+ large ideals: 1787748
  141. Thu Dec 11 10:52:30 2025 commencing 2-way merge
  142. Thu Dec 11 10:52:37 2025 reduce to 10737668 relation sets and 9632758 unique ideals
  143. Thu Dec 11 10:52:37 2025 commencing full merge
  144. Thu Dec 11 10:54:26 2025 memory use: 1156.8 MB
  145. Thu Dec 11 10:54:27 2025 found 5445776 cycles, need 5294958
  146. Thu Dec 11 10:54:28 2025 weight of 5294958 cycles is about 476626010 (90.02/cycle)
  147. Thu Dec 11 10:54:28 2025 distribution of cycle lengths:
  148. Thu Dec 11 10:54:28 2025 1 relations: 277688
  149. Thu Dec 11 10:54:28 2025 2 relations: 435145
  150. Thu Dec 11 10:54:28 2025 3 relations: 519879
  151. Thu Dec 11 10:54:28 2025 4 relations: 552199
  152. Thu Dec 11 10:54:28 2025 5 relations: 567469
  153. Thu Dec 11 10:54:28 2025 6 relations: 542958
  154. Thu Dec 11 10:54:28 2025 7 relations: 504418
  155. Thu Dec 11 10:54:28 2025 8 relations: 442256
  156. Thu Dec 11 10:54:28 2025 9 relations: 374523
  157. Thu Dec 11 10:54:28 2025 10+ relations: 1078423
  158. Thu Dec 11 10:54:28 2025 heaviest cycle: 18 relations
  159. Thu Dec 11 10:54:30 2025 commencing cycle optimization
  160. Thu Dec 11 10:54:37 2025 start with 34265534 relations
  161. Thu Dec 11 10:55:16 2025 pruned 1229748 relations
  162. Thu Dec 11 10:55:16 2025 memory use: 1036.3 MB
  163. Thu Dec 11 10:55:16 2025 distribution of cycle lengths:
  164. Thu Dec 11 10:55:16 2025 1 relations: 277688
  165. Thu Dec 11 10:55:16 2025 2 relations: 446905
  166. Thu Dec 11 10:55:16 2025 3 relations: 544022
  167. Thu Dec 11 10:55:16 2025 4 relations: 575706
  168. Thu Dec 11 10:55:16 2025 5 relations: 596304
  169. Thu Dec 11 10:55:16 2025 6 relations: 566474
  170. Thu Dec 11 10:55:16 2025 7 relations: 525379
  171. Thu Dec 11 10:55:16 2025 8 relations: 452633
  172. Thu Dec 11 10:55:16 2025 9 relations: 376009
  173. Thu Dec 11 10:55:16 2025 10+ relations: 933838
  174. Thu Dec 11 10:55:16 2025 heaviest cycle: 18 relations
  175. Thu Dec 11 10:55:22 2025 RelProcTime: 1811
  176. Thu Dec 11 10:55:22 2025 elapsed time 00:30:12
  177. Thu Dec 11 11:40:25 2025
  178. Thu Dec 11 11:40:25 2025
  179. Thu Dec 11 11:40:25 2025 Msieve v. 1.54 (SVN Unversioned directory)
  180. Thu Dec 11 11:40:25 2025 random seeds: 6afaae73 1c85e15b
  181. Thu Dec 11 11:40:25 2025 Using 8 OpenMP threads
  182. Thu Dec 11 11:40:25 2025 factoring 2211743893908184236250862085542975042493726217532168765306257684197399898445431297675627153752718511031255432669713919862039943342058149672752929650580196714800053 (163 digits)
  183. Thu Dec 11 11:40:25 2025 searching for 15-digit factors
  184. Thu Dec 11 11:40:25 2025 commencing number field sieve (163-digit input)
  185. Thu Dec 11 11:40:25 2025 R0: 54460548634364216935497138959767
  186. Thu Dec 11 11:40:25 2025 R1: -913831402516295886223
  187. Thu Dec 11 11:40:25 2025 A0: 787667927927956169738965129313448395040
  188. Thu Dec 11 11:40:25 2025 A1: 786520461492370637457057250021124
  189. Thu Dec 11 11:40:25 2025 A2: 60683050215277827330842359
  190. Thu Dec 11 11:40:25 2025 A3: -34749487130892509715
  191. Thu Dec 11 11:40:25 2025 A4: -401464032098
  192. Thu Dec 11 11:40:25 2025 A5: 9240
  193. Thu Dec 11 11:40:25 2025 skew 1.00, size 1.113e-15, alpha -7.440, combined = 6.206e-15 rroots = 5
  194. Thu Dec 11 11:40:25 2025
  195. Thu Dec 11 11:40:25 2025 commencing linear algebra
  196. Thu Dec 11 11:40:25 2025 using VBITS=256
  197. Thu Dec 11 11:40:25 2025 stopping after matrix build
  198. Thu Dec 11 11:40:26 2025 read 5294958 cycles
  199. Thu Dec 11 11:40:30 2025 cycles contain 16096219 unique relations
  200. Thu Dec 11 11:40:43 2025 read 16096219 relations
  201. Thu Dec 11 11:40:46 2025 using 20 quadratic characters above 4294917295
  202. Thu Dec 11 11:40:51 2025 building initial matrix
  203. Thu Dec 11 11:42:28 2025 memory use: 2224.0 MB
  204. Thu Dec 11 11:42:29 2025 read 5294958 cycles
  205. Thu Dec 11 11:42:29 2025 matrix is 5294775 x 5294958 (1946.6 MB) with weight 603818250 (114.04/col)
  206. Thu Dec 11 11:42:29 2025 sparse part has weight 452056820 (85.37/col)
  207. Thu Dec 11 11:42:55 2025 filtering completed in 2 passes
  208. Thu Dec 11 11:42:55 2025 matrix is 5293764 x 5293945 (1946.5 MB) with weight 603771690 (114.05/col)
  209. Thu Dec 11 11:42:55 2025 sparse part has weight 452038808 (85.39/col)
  210. Thu Dec 11 11:43:02 2025 BLanczosTime: 157
  211. Thu Dec 11 11:43:02 2025 elapsed time 00:02:37
  212. Thu Dec 11 11:45:42 2025
  213. Thu Dec 11 11:45:42 2025
  214. Thu Dec 11 11:45:42 2025 Msieve v. 1.54 (SVN Unversioned directory)
  215. Thu Dec 11 11:45:42 2025 random seeds: 68482228 7053ccc6
  216. Thu Dec 11 11:45:42 2025 Using 8 OpenMP threads
  217. Thu Dec 11 11:45:42 2025 factoring 2211743893908184236250862085542975042493726217532168765306257684197399898445431297675627153752718511031255432669713919862039943342058149672752929650580196714800053 (163 digits)
  218. Thu Dec 11 11:45:42 2025 searching for 15-digit factors
  219. Thu Dec 11 11:45:42 2025 commencing number field sieve (163-digit input)
  220. Thu Dec 11 11:45:42 2025 R0: 54460548634364216935497138959767
  221. Thu Dec 11 11:45:42 2025 R1: -913831402516295886223
  222. Thu Dec 11 11:45:42 2025 A0: 787667927927956169738965129313448395040
  223. Thu Dec 11 11:45:42 2025 A1: 786520461492370637457057250021124
  224. Thu Dec 11 11:45:42 2025 A2: 60683050215277827330842359
  225. Thu Dec 11 11:45:42 2025 A3: -34749487130892509715
  226. Thu Dec 11 11:45:42 2025 A4: -401464032098
  227. Thu Dec 11 11:45:42 2025 A5: 9240
  228. Thu Dec 11 11:45:42 2025 skew 1.00, size 1.113e-15, alpha -7.440, combined = 6.206e-15 rroots = 5
  229. Thu Dec 11 11:45:42 2025
  230. Thu Dec 11 11:45:42 2025 commencing relation filtering
  231. Thu Dec 11 11:45:42 2025 setting target matrix density to 120.0
  232. Thu Dec 11 11:45:42 2025 estimated available RAM is 78540.1 MB
  233. Thu Dec 11 11:45:42 2025 commencing duplicate removal, pass 1
  234. Thu Dec 11 11:46:43 2025 error -1 reading relation 83283302
  235. Thu Dec 11 11:46:58 2025 error -1 reading relation 104789290
  236. Thu Dec 11 11:47:00 2025 error -1 reading relation 106754382
  237. Thu Dec 11 11:47:01 2025 error -1 reading relation 108151896
  238. Thu Dec 11 11:47:02 2025 error -1 reading relation 110875597
  239. Thu Dec 11 11:47:05 2025 error -1 reading relation 114814150
  240. Thu Dec 11 11:47:51 2025 error -1 reading relation 177436085
  241. Thu Dec 11 11:47:53 2025 error -1 reading relation 180530466
  242. Thu Dec 11 11:48:00 2025 error -1 reading relation 190004544
  243. Thu Dec 11 11:48:09 2025 error -1 reading relation 202907914
  244. Thu Dec 11 11:48:09 2025 error -1 reading relation 202965026
  245. Thu Dec 11 11:48:09 2025 error -1 reading relation 202993595
  246. Thu Dec 11 11:48:14 2025 error -1 reading relation 209807600
  247. Thu Dec 11 11:48:14 2025 error -1 reading relation 210393596
  248. Thu Dec 11 11:48:15 2025 error -1 reading relation 211092044
  249. Thu Dec 11 11:48:20 2025 skipped 103 malformed relations
  250. Thu Dec 11 11:48:20 2025 found 36332756 hash collisions in 217443443 relations
  251. Thu Dec 11 11:48:32 2025 commencing duplicate removal, pass 2
  252. Thu Dec 11 11:49:34 2025 found 33243816 duplicates and 184199627 unique relations
  253. Thu Dec 11 11:49:34 2025 memory use: 1321.5 MB
  254. Thu Dec 11 11:49:34 2025 reading ideals above 720000
  255. Thu Dec 11 11:49:34 2025 commencing singleton removal, initial pass
  256. Thu Dec 11 11:55:22 2025 memory use: 3012.0 MB
  257. Thu Dec 11 11:55:23 2025 reading all ideals from disk
  258. Thu Dec 11 11:55:37 2025 memory use: 8286.0 MB
  259. Thu Dec 11 11:55:47 2025 keeping 162027436 ideals with weight <= 200, target excess is 952508
  260. Thu Dec 11 11:55:58 2025 commencing in-memory singleton removal
  261. Thu Dec 11 11:56:00 2025 begin with 184199627 relations and 162027436 unique ideals
  262. Thu Dec 11 11:56:10 2025 reduce to 114312370 relations and 84670069 ideals in 12 passes
  263. Thu Dec 11 11:56:10 2025 max relations containing the same ideal: 153
  264. Thu Dec 11 11:56:33 2025 removing 9732174 relations and 7732174 ideals in 2000000 cliques
  265. Thu Dec 11 11:56:35 2025 commencing in-memory singleton removal
  266. Thu Dec 11 11:56:36 2025 begin with 104580196 relations and 84670069 unique ideals
  267. Thu Dec 11 11:56:42 2025 reduce to 103967455 relations and 76311476 ideals in 10 passes
  268. Thu Dec 11 11:56:42 2025 max relations containing the same ideal: 146
  269. Thu Dec 11 11:57:03 2025 removing 7418619 relations and 5418619 ideals in 2000000 cliques
  270. Thu Dec 11 11:57:05 2025 commencing in-memory singleton removal
  271. Thu Dec 11 11:57:06 2025 begin with 96548836 relations and 76311476 unique ideals
  272. Thu Dec 11 11:57:11 2025 reduce to 96133466 relations and 70469331 ideals in 7 passes
  273. Thu Dec 11 11:57:11 2025 max relations containing the same ideal: 140
  274. Thu Dec 11 11:57:30 2025 removing 6765349 relations and 4765349 ideals in 2000000 cliques
  275. Thu Dec 11 11:57:32 2025 commencing in-memory singleton removal
  276. Thu Dec 11 11:57:32 2025 begin with 89368117 relations and 70469331 unique ideals
  277. Thu Dec 11 11:57:36 2025 reduce to 89007755 relations and 65336594 ideals in 7 passes
  278. Thu Dec 11 11:57:36 2025 max relations containing the same ideal: 133
  279. Thu Dec 11 11:57:54 2025 removing 6427959 relations and 4427959 ideals in 2000000 cliques
  280. Thu Dec 11 11:57:56 2025 commencing in-memory singleton removal
  281. Thu Dec 11 11:57:56 2025 begin with 82579796 relations and 65336594 unique ideals
  282. Thu Dec 11 11:58:00 2025 reduce to 82245379 relations and 60567208 ideals in 7 passes
  283. Thu Dec 11 11:58:00 2025 max relations containing the same ideal: 128
  284. Thu Dec 11 11:58:17 2025 removing 6212429 relations and 4212429 ideals in 2000000 cliques
  285. Thu Dec 11 11:58:18 2025 commencing in-memory singleton removal
  286. Thu Dec 11 11:58:19 2025 begin with 76032950 relations and 60567208 unique ideals
  287. Thu Dec 11 11:58:21 2025 reduce to 75708543 relations and 56023198 ideals in 6 passes
  288. Thu Dec 11 11:58:21 2025 max relations containing the same ideal: 122
  289. Thu Dec 11 11:58:37 2025 removing 6058072 relations and 4058072 ideals in 2000000 cliques
  290. Thu Dec 11 11:58:38 2025 commencing in-memory singleton removal
  291. Thu Dec 11 11:58:39 2025 begin with 69650471 relations and 56023198 unique ideals
  292. Thu Dec 11 11:58:41 2025 reduce to 69327959 relations and 51635082 ideals in 6 passes
  293. Thu Dec 11 11:58:41 2025 max relations containing the same ideal: 112
  294. Thu Dec 11 11:58:56 2025 removing 5948174 relations and 3948174 ideals in 2000000 cliques
  295. Thu Dec 11 11:58:57 2025 commencing in-memory singleton removal
  296. Thu Dec 11 11:58:57 2025 begin with 63379785 relations and 51635082 unique ideals
  297. Thu Dec 11 11:59:00 2025 reduce to 63051783 relations and 47350363 ideals in 7 passes
  298. Thu Dec 11 11:59:00 2025 max relations containing the same ideal: 104
  299. Thu Dec 11 11:59:14 2025 removing 5865372 relations and 3865372 ideals in 2000000 cliques
  300. Thu Dec 11 11:59:15 2025 commencing in-memory singleton removal
  301. Thu Dec 11 11:59:16 2025 begin with 57186411 relations and 47350363 unique ideals
  302. Thu Dec 11 11:59:18 2025 reduce to 56845999 relations and 43134895 ideals in 7 passes
  303. Thu Dec 11 11:59:18 2025 max relations containing the same ideal: 97
  304. Thu Dec 11 11:59:30 2025 removing 5806410 relations and 3806410 ideals in 2000000 cliques
  305. Thu Dec 11 11:59:31 2025 commencing in-memory singleton removal
  306. Thu Dec 11 11:59:31 2025 begin with 51039589 relations and 43134895 unique ideals
  307. Thu Dec 11 11:59:34 2025 reduce to 50679851 relations and 38957638 ideals in 7 passes
  308. Thu Dec 11 11:59:34 2025 max relations containing the same ideal: 92
  309. Thu Dec 11 11:59:44 2025 removing 5766582 relations and 3766582 ideals in 2000000 cliques
  310. Thu Dec 11 11:59:46 2025 commencing in-memory singleton removal
  311. Thu Dec 11 11:59:46 2025 begin with 44913269 relations and 38957638 unique ideals
  312. Thu Dec 11 11:59:48 2025 reduce to 44526542 relations and 34791042 ideals in 7 passes
  313. Thu Dec 11 11:59:48 2025 max relations containing the same ideal: 87
  314. Thu Dec 11 11:59:57 2025 removing 5736322 relations and 3736322 ideals in 2000000 cliques
  315. Thu Dec 11 11:59:58 2025 commencing in-memory singleton removal
  316. Thu Dec 11 11:59:58 2025 begin with 38790220 relations and 34791042 unique ideals
  317. Thu Dec 11 12:00:00 2025 reduce to 38362961 relations and 30611035 ideals in 6 passes
  318. Thu Dec 11 12:00:00 2025 max relations containing the same ideal: 75
  319. Thu Dec 11 12:00:08 2025 removing 5724921 relations and 3724921 ideals in 2000000 cliques
  320. Thu Dec 11 12:00:10 2025 commencing in-memory singleton removal
  321. Thu Dec 11 12:00:10 2025 begin with 32638040 relations and 30611035 unique ideals
  322. Thu Dec 11 12:00:11 2025 reduce to 32154794 relations and 26381923 ideals in 7 passes
  323. Thu Dec 11 12:00:11 2025 max relations containing the same ideal: 67
  324. Thu Dec 11 12:00:19 2025 removing 5725612 relations and 3725612 ideals in 2000000 cliques
  325. Thu Dec 11 12:00:20 2025 commencing in-memory singleton removal
  326. Thu Dec 11 12:00:20 2025 begin with 26429182 relations and 26381923 unique ideals
  327. Thu Dec 11 12:00:21 2025 reduce to 25865727 relations and 22063550 ideals in 7 passes
  328. Thu Dec 11 12:00:21 2025 max relations containing the same ideal: 60
  329. Thu Dec 11 12:00:27 2025 removing 5720476 relations and 3720476 ideals in 2000000 cliques
  330. Thu Dec 11 12:00:28 2025 commencing in-memory singleton removal
  331. Thu Dec 11 12:00:28 2025 begin with 20145251 relations and 22063550 unique ideals
  332. Thu Dec 11 12:00:29 2025 reduce to 19449340 relations and 17601294 ideals in 8 passes
  333. Thu Dec 11 12:00:29 2025 max relations containing the same ideal: 48
  334. Thu Dec 11 12:00:33 2025 removing 2528637 relations and 1785501 ideals in 743136 cliques
  335. Thu Dec 11 12:00:33 2025 commencing in-memory singleton removal
  336. Thu Dec 11 12:00:34 2025 begin with 16920703 relations and 17601294 unique ideals
  337. Thu Dec 11 12:00:34 2025 reduce to 16689376 relations and 15576401 ideals in 8 passes
  338. Thu Dec 11 12:00:34 2025 max relations containing the same ideal: 43
  339. Thu Dec 11 12:00:38 2025 removing 51922 relations and 43857 ideals in 8065 cliques
  340. Thu Dec 11 12:00:38 2025 commencing in-memory singleton removal
  341. Thu Dec 11 12:00:38 2025 begin with 16637454 relations and 15576401 unique ideals
  342. Thu Dec 11 12:00:39 2025 reduce to 16637345 relations and 15532435 ideals in 4 passes
  343. Thu Dec 11 12:00:39 2025 max relations containing the same ideal: 43
  344. Thu Dec 11 12:00:39 2025 relations with 0 large ideals: 3096
  345. Thu Dec 11 12:00:39 2025 relations with 1 large ideals: 49607
  346. Thu Dec 11 12:00:39 2025 relations with 2 large ideals: 511462
  347. Thu Dec 11 12:00:39 2025 relations with 3 large ideals: 2060149
  348. Thu Dec 11 12:00:39 2025 relations with 4 large ideals: 4175666
  349. Thu Dec 11 12:00:39 2025 relations with 5 large ideals: 4763983
  350. Thu Dec 11 12:00:39 2025 relations with 6 large ideals: 3285634
  351. Thu Dec 11 12:00:39 2025 relations with 7+ large ideals: 1787748
  352. Thu Dec 11 12:00:39 2025 commencing 2-way merge
  353. Thu Dec 11 12:00:44 2025 reduce to 10737668 relation sets and 9632758 unique ideals
  354. Thu Dec 11 12:00:44 2025 commencing full merge
  355. Thu Dec 11 12:02:36 2025 memory use: 1202.9 MB
  356. Thu Dec 11 12:02:36 2025 found 4973258 cycles, need 4844958
  357. Thu Dec 11 12:02:37 2025 weight of 4844958 cycles is about 581811787 (120.09/cycle)
  358. Thu Dec 11 12:02:37 2025 distribution of cycle lengths:
  359. Thu Dec 11 12:02:37 2025 1 relations: 120665
  360. Thu Dec 11 12:02:37 2025 2 relations: 256287
  361. Thu Dec 11 12:02:37 2025 3 relations: 326651
  362. Thu Dec 11 12:02:37 2025 4 relations: 359536
  363. Thu Dec 11 12:02:37 2025 5 relations: 388491
  364. Thu Dec 11 12:02:37 2025 6 relations: 395981
  365. Thu Dec 11 12:02:37 2025 7 relations: 392304
  366. Thu Dec 11 12:02:37 2025 8 relations: 380621
  367. Thu Dec 11 12:02:37 2025 9 relations: 355301
  368. Thu Dec 11 12:02:37 2025 10+ relations: 1869121
  369. Thu Dec 11 12:02:37 2025 heaviest cycle: 24 relations
  370. Thu Dec 11 12:02:39 2025 commencing cycle optimization
  371. Thu Dec 11 12:02:44 2025 start with 41570142 relations
  372. Thu Dec 11 12:03:36 2025 pruned 1971567 relations
  373. Thu Dec 11 12:03:36 2025 memory use: 1109.7 MB
  374. Thu Dec 11 12:03:36 2025 distribution of cycle lengths:
  375. Thu Dec 11 12:03:36 2025 1 relations: 120665
  376. Thu Dec 11 12:03:36 2025 2 relations: 263924
  377. Thu Dec 11 12:03:36 2025 3 relations: 342681
  378. Thu Dec 11 12:03:36 2025 4 relations: 377090
  379. Thu Dec 11 12:03:36 2025 5 relations: 411995
  380. Thu Dec 11 12:03:36 2025 6 relations: 419464
  381. Thu Dec 11 12:03:36 2025 7 relations: 417622
  382. Thu Dec 11 12:03:36 2025 8 relations: 402614
  383. Thu Dec 11 12:03:36 2025 9 relations: 374190
  384. Thu Dec 11 12:03:36 2025 10+ relations: 1714713
  385. Thu Dec 11 12:03:36 2025 heaviest cycle: 23 relations
  386. Thu Dec 11 12:03:41 2025 RelProcTime: 1079
  387. Thu Dec 11 12:03:41 2025 elapsed time 00:17:59
  388. Thu Dec 11 12:06:42 2025
  389. Thu Dec 11 12:06:42 2025
  390. Thu Dec 11 12:06:42 2025 Msieve v. 1.54 (SVN Unversioned directory)
  391. Thu Dec 11 12:06:42 2025 random seeds: e9f5e8e9 4769eb53
  392. Thu Dec 11 12:06:42 2025 Using 8 OpenMP threads
  393. Thu Dec 11 12:06:42 2025 factoring 2211743893908184236250862085542975042493726217532168765306257684197399898445431297675627153752718511031255432669713919862039943342058149672752929650580196714800053 (163 digits)
  394. Thu Dec 11 12:06:42 2025 searching for 15-digit factors
  395. Thu Dec 11 12:06:43 2025 commencing number field sieve (163-digit input)
  396. Thu Dec 11 12:06:43 2025 R0: 54460548634364216935497138959767
  397. Thu Dec 11 12:06:43 2025 R1: -913831402516295886223
  398. Thu Dec 11 12:06:43 2025 A0: 787667927927956169738965129313448395040
  399. Thu Dec 11 12:06:43 2025 A1: 786520461492370637457057250021124
  400. Thu Dec 11 12:06:43 2025 A2: 60683050215277827330842359
  401. Thu Dec 11 12:06:43 2025 A3: -34749487130892509715
  402. Thu Dec 11 12:06:43 2025 A4: -401464032098
  403. Thu Dec 11 12:06:43 2025 A5: 9240
  404. Thu Dec 11 12:06:43 2025 skew 1.00, size 1.113e-15, alpha -7.440, combined = 6.206e-15 rroots = 5
  405. Thu Dec 11 12:06:43 2025
  406. Thu Dec 11 12:06:43 2025 commencing linear algebra
  407. Thu Dec 11 12:06:43 2025 using VBITS=256
  408. Thu Dec 11 12:06:43 2025 stopping after matrix build
  409. Thu Dec 11 12:06:43 2025 read 4844958 cycles
  410. Thu Dec 11 12:06:47 2025 cycles contain 16109789 unique relations
  411. Thu Dec 11 12:07:00 2025 read 16109789 relations
  412. Thu Dec 11 12:07:03 2025 using 20 quadratic characters above 4294917295
  413. Thu Dec 11 12:07:08 2025 building initial matrix
  414. Thu Dec 11 12:09:04 2025 memory use: 2158.7 MB
  415. Thu Dec 11 12:09:06 2025 read 4844958 cycles
  416. Thu Dec 11 12:09:06 2025 matrix is 4844778 x 4844958 (2259.7 MB) with weight 690244537 (142.47/col)
  417. Thu Dec 11 12:09:06 2025 sparse part has weight 539066956 (111.26/col)
  418. Thu Dec 11 12:09:32 2025 filtering completed in 2 passes
  419. Thu Dec 11 12:09:33 2025 matrix is 4844414 x 4844592 (2259.6 MB) with weight 690223149 (142.47/col)
  420. Thu Dec 11 12:09:33 2025 sparse part has weight 539057079 (111.27/col)
  421. Thu Dec 11 12:09:38 2025 BLanczosTime: 175
  422. Thu Dec 11 12:09:39 2025 elapsed time 00:02:57
  423. Thu Dec 11 12:10:18 2025
  424. Thu Dec 11 12:10:18 2025
  425. Thu Dec 11 12:10:18 2025 Msieve v. 1.54 (SVN Unversioned directory)
  426. Thu Dec 11 12:10:18 2025 random seeds: 74585526 09373cb9
  427. Thu Dec 11 12:10:18 2025 Using 8 OpenMP threads
  428. Thu Dec 11 12:10:18 2025 factoring 2211743893908184236250862085542975042493726217532168765306257684197399898445431297675627153752718511031255432669713919862039943342058149672752929650580196714800053 (163 digits)
  429. Thu Dec 11 12:10:18 2025 searching for 15-digit factors
  430. Thu Dec 11 12:10:18 2025 commencing number field sieve (163-digit input)
  431. Thu Dec 11 12:10:18 2025 R0: 54460548634364216935497138959767
  432. Thu Dec 11 12:10:18 2025 R1: -913831402516295886223
  433. Thu Dec 11 12:10:18 2025 A0: 787667927927956169738965129313448395040
  434. Thu Dec 11 12:10:18 2025 A1: 786520461492370637457057250021124
  435. Thu Dec 11 12:10:18 2025 A2: 60683050215277827330842359
  436. Thu Dec 11 12:10:18 2025 A3: -34749487130892509715
  437. Thu Dec 11 12:10:18 2025 A4: -401464032098
  438. Thu Dec 11 12:10:18 2025 A5: 9240
  439. Thu Dec 11 12:10:18 2025 skew 1.00, size 1.113e-15, alpha -7.440, combined = 6.206e-15 rroots = 5
  440. Thu Dec 11 12:10:18 2025
  441. Thu Dec 11 12:10:18 2025 commencing linear algebra
  442. Thu Dec 11 12:10:18 2025 using VBITS=256
  443. Thu Dec 11 12:10:18 2025 skipping matrix build
  444. Thu Dec 11 12:10:19 2025 matrix starts at (0, 0)
  445. Thu Dec 11 12:10:19 2025 matrix is 4844414 x 4844592 (2259.6 MB) with weight 690223149 (142.47/col)
  446. Thu Dec 11 12:10:19 2025 sparse part has weight 539057079 (111.27/col)
  447. Thu Dec 11 12:10:19 2025 saving the first 240 matrix rows for later
  448. Thu Dec 11 12:10:20 2025 matrix includes 256 packed rows
  449. Thu Dec 11 12:10:21 2025 matrix is 4844174 x 4844592 (2020.3 MB) with weight 485703696 (100.26/col)
  450. Thu Dec 11 12:10:21 2025 sparse part has weight 452097964 (93.32/col)
  451. Thu Dec 11 12:10:21 2025 using GPU 0 (NVIDIA GeForce RTX 5070)
  452. Thu Dec 11 12:10:21 2025 selected card has CUDA arch 12.0
  453. Thu Dec 11 12:10:34 2025 commencing Lanczos iteration
  454. Thu Dec 11 12:10:35 2025 memory use: 4669.0 MB
  455. Thu Dec 11 12:10:48 2025 linear algebra at 0.6%, ETA 0h34m
  456. Thu Dec 11 12:11:08 2025 checking every 130000 dimensions, checkpointing every 8450000 dimensions
  457. Thu Dec 11 12:45:24 2025 lanczos halted after 18981 iterations (dim = 4844174)
  458. Thu Dec 11 12:45:35 2025 recovered 30 nontrivial dependencies
  459. Thu Dec 11 12:45:36 2025 BLanczosTime: 2118
  460. Thu Dec 11 12:45:36 2025 elapsed time 00:35:18
  461. Thu Dec 11 12:46:51 2025
  462. Thu Dec 11 12:46:52 2025
  463. Thu Dec 11 12:46:52 2025 Msieve v. 1.54 (SVN Unversioned directory)
  464. Thu Dec 11 12:46:52 2025 random seeds: 5145687f 2f8f8ac7
  465. Thu Dec 11 12:46:52 2025 Using 8 OpenMP threads
  466. Thu Dec 11 12:46:52 2025 factoring 2211743893908184236250862085542975042493726217532168765306257684197399898445431297675627153752718511031255432669713919862039943342058149672752929650580196714800053 (163 digits)
  467. Thu Dec 11 12:46:52 2025 searching for 15-digit factors
  468. Thu Dec 11 12:46:52 2025 commencing number field sieve (163-digit input)
  469. Thu Dec 11 12:46:52 2025 R0: 54460548634364216935497138959767
  470. Thu Dec 11 12:46:52 2025 R1: -913831402516295886223
  471. Thu Dec 11 12:46:52 2025 A0: 787667927927956169738965129313448395040
  472. Thu Dec 11 12:46:52 2025 A1: 786520461492370637457057250021124
  473. Thu Dec 11 12:46:52 2025 A2: 60683050215277827330842359
  474. Thu Dec 11 12:46:52 2025 A3: -34749487130892509715
  475. Thu Dec 11 12:46:52 2025 A4: -401464032098
  476. Thu Dec 11 12:46:52 2025 A5: 9240
  477. Thu Dec 11 12:46:52 2025 skew 1.00, size 1.113e-15, alpha -7.440, combined = 6.206e-15 rroots = 5
  478. Thu Dec 11 12:46:52 2025
  479. Thu Dec 11 12:46:52 2025 commencing square root phase
  480. Thu Dec 11 12:46:52 2025 reading relations for dependency 1
  481. Thu Dec 11 12:46:53 2025 read 2421525 cycles
  482. Thu Dec 11 12:46:56 2025 cycles contain 8050708 unique relations
  483. Thu Dec 11 12:49:35 2025 read 8050708 relations
  484. Thu Dec 11 12:49:58 2025 multiplying 8050708 relations
  485. Thu Dec 11 12:50:41 2025 multiply complete, coefficients have about 411.69 million bits
  486. Thu Dec 11 12:50:42 2025 initial square root is modulo 24380777
  487. Thu Dec 11 12:52:06 2025 found factor: 499064917705603434004348295586786010033134883746373
  488. Thu Dec 11 12:52:06 2025 reading relations for dependency 2
  489. Thu Dec 11 12:52:07 2025 read 2424830 cycles
  490. Thu Dec 11 12:52:09 2025 cycles contain 8060580 unique relations
  491. Thu Dec 11 12:52:23 2025 read 8060580 relations
  492. Thu Dec 11 12:52:42 2025 multiplying 8060580 relations
  493. Thu Dec 11 12:53:22 2025 multiply complete, coefficients have about 412.19 million bits
  494. Thu Dec 11 12:53:23 2025 initial square root is modulo 24892691
  495. Thu Dec 11 12:54:49 2025 sqrtTime: 477
  496. Thu Dec 11 12:54:49 2025 p51 factor: 499064917705603434004348295586786010033134883746373
  497. Thu Dec 11 12:54:49 2025 p53 factor: 18505131775485481979104239689996245994381981279131807
  498. Thu Dec 11 12:54:49 2025 p60 factor: 239489023477935522085887640415933510999300813737131249883823
  499. Thu Dec 11 12:54:49 2025 elapsed time 00:07:57
  500.  
Tags: math
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