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  1. Tue Jan 27 12:30:25 2026
  2. Tue Jan 27 12:30:25 2026
  3. Tue Jan 27 12:30:25 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jan 27 12:30:25 2026 random seeds: 6bf03006 f94b41b1
  5. Tue Jan 27 12:30:25 2026 Using 32 OpenMP threads
  6. Tue Jan 27 12:30:25 2026 factoring 5124984437715247526266133565580402983307306847451414410133304851281204066266199034382520973894957277347486077141945714494342090239676993389998718147652801595001348321964803241480483 (181 digits)
  7. Tue Jan 27 12:30:26 2026 searching for 15-digit factors
  8. Tue Jan 27 12:30:27 2026 commencing number field sieve (181-digit input)
  9. Tue Jan 27 12:30:27 2026 R0: -66784101179759639168820520058554320
  10. Tue Jan 27 12:30:27 2026 R1: 29829415211122952713082567
  11. Tue Jan 27 12:30:27 2026 A0: 619273109310641874396628740595233546688594
  12. Tue Jan 27 12:30:27 2026 A1: -661881799751809837721617805467126595
  13. Tue Jan 27 12:30:27 2026 A2: -325304427186234166305603371428
  14. Tue Jan 27 12:30:27 2026 A3: 54674472469749102939545
  15. Tue Jan 27 12:30:27 2026 A4: 5231370859133484
  16. Tue Jan 27 12:30:27 2026 A5: 97952400
  17. Tue Jan 27 12:30:27 2026 skew 10266137.70, size 1.126e-17, alpha -8.556, combined = 7.618e-14 rroots = 5
  18. Tue Jan 27 12:30:27 2026
  19. Tue Jan 27 12:30:27 2026 commencing relation filtering
  20. Tue Jan 27 12:30:27 2026 setting target matrix density to 130.0
  21. Tue Jan 27 12:30:27 2026 estimated available RAM is 257948.4 MB
  22. Tue Jan 27 12:30:27 2026 commencing duplicate removal, pass 1
  23. Tue Jan 27 12:31:37 2026 error -1 reading relation 27057488
  24. Tue Jan 27 12:31:44 2026 error -1 reading relation 29482313
  25. Tue Jan 27 12:31:46 2026 error -1 reading relation 30351900
  26. Tue Jan 27 12:32:12 2026 error -1 reading relation 40259128
  27. Tue Jan 27 12:32:13 2026 error -1 reading relation 40523387
  28. Tue Jan 27 12:32:20 2026 error -1 reading relation 43158677
  29. Tue Jan 27 12:32:24 2026 error -1 reading relation 44715955
  30. Tue Jan 27 12:33:32 2026 error -1 reading relation 70458278
  31. Tue Jan 27 12:33:34 2026 error -1 reading relation 71009534
  32. Tue Jan 27 12:34:53 2026 error -1 reading relation 101560972
  33. Tue Jan 27 12:34:59 2026 error -1 reading relation 103745516
  34. Tue Jan 27 12:36:04 2026 error -1 reading relation 128554937
  35. Tue Jan 27 12:37:20 2026 error -15 reading relation 157202343
  36. Tue Jan 27 12:37:20 2026 error -1 reading relation 157202344
  37. Tue Jan 27 12:37:39 2026 error -1 reading relation 164756383
  38. Tue Jan 27 12:37:51 2026 error -1 reading relation 169313816
  39. Tue Jan 27 12:37:52 2026 error -15 reading relation 169861137
  40. Tue Jan 27 12:37:52 2026 error -1 reading relation 169861138
  41. Tue Jan 27 12:38:07 2026 error -1 reading relation 175411119
  42. Tue Jan 27 12:38:11 2026 error -1 reading relation 177038405
  43. Tue Jan 27 12:38:14 2026 error -1 reading relation 177877366
  44. Tue Jan 27 12:38:19 2026 error -1 reading relation 179881925
  45. Tue Jan 27 12:38:21 2026 error -1 reading relation 180694323
  46. Tue Jan 27 12:38:22 2026 error -1 reading relation 181139488
  47. Tue Jan 27 12:38:32 2026 error -1 reading relation 184844998
  48. Tue Jan 27 12:38:35 2026 error -1 reading relation 186157587
  49. Tue Jan 27 12:39:20 2026 error -1 reading relation 203166963
  50. Tue Jan 27 12:39:32 2026 error -1 reading relation 207732825
  51. Tue Jan 27 12:39:47 2026 error -1 reading relation 213643658
  52. Tue Jan 27 12:39:55 2026 error -1 reading relation 216508154
  53. Tue Jan 27 12:40:31 2026 error -1 reading relation 230349036
  54. Tue Jan 27 12:41:19 2026 error -1 reading relation 248506706
  55. Tue Jan 27 12:41:33 2026 error -1 reading relation 253735488
  56. Tue Jan 27 12:42:17 2026 error -1 reading relation 270581225
  57. Tue Jan 27 12:42:19 2026 error -1 reading relation 271403347
  58. Tue Jan 27 12:43:54 2026 error -1 reading relation 307755734
  59. Tue Jan 27 12:43:59 2026 error -1 reading relation 309534924
  60. Tue Jan 27 12:44:06 2026 error -1 reading relation 312250445
  61. Tue Jan 27 12:44:13 2026 error -1 reading relation 314914200
  62. Tue Jan 27 12:44:15 2026 error -1 reading relation 315567141
  63. Tue Jan 27 12:44:19 2026 error -1 reading relation 317046255
  64. Tue Jan 27 12:44:26 2026 error -1 reading relation 319860791
  65. Tue Jan 27 12:44:38 2026 error -1 reading relation 324433082
  66. Tue Jan 27 12:44:47 2026 error -1 reading relation 327969639
  67. Tue Jan 27 12:44:55 2026 error -1 reading relation 330855551
  68. Tue Jan 27 12:45:04 2026 error -1 reading relation 334424082
  69. Tue Jan 27 12:45:18 2026 error -1 reading relation 339672158
  70. Tue Jan 27 12:45:36 2026 error -1 reading relation 346559643
  71. Tue Jan 27 12:45:37 2026 error -1 reading relation 346817861
  72. Tue Jan 27 12:46:05 2026 error -1 reading relation 357320670
  73. Tue Jan 27 12:46:10 2026 error -1 reading relation 359167867
  74. Tue Jan 27 12:46:21 2026 error -15 reading relation 363383833
  75. Tue Jan 27 12:46:45 2026 error -1 reading relation 372598720
  76. Tue Jan 27 12:47:18 2026 error -1 reading relation 385502462
  77. Tue Jan 27 12:47:28 2026 error -1 reading relation 389029332
  78. Tue Jan 27 12:47:54 2026 error -15 reading relation 399060629
  79. Tue Jan 27 12:48:07 2026 error -1 reading relation 403865395
  80. Tue Jan 27 12:48:12 2026 error -1 reading relation 405779292
  81. Tue Jan 27 12:48:14 2026 error -1 reading relation 406462718
  82. Tue Jan 27 12:48:14 2026 error -1 reading relation 406490675
  83. Tue Jan 27 12:48:17 2026 error -1 reading relation 407914286
  84. Tue Jan 27 12:48:17 2026 error -1 reading relation 407919457
  85. Tue Jan 27 12:48:18 2026 error -1 reading relation 408038591
  86. Tue Jan 27 12:48:18 2026 error -1 reading relation 408092513
  87. Tue Jan 27 12:48:27 2026 error -1 reading relation 411682230
  88. Tue Jan 27 12:48:42 2026 error -1 reading relation 417318103
  89. Tue Jan 27 12:48:46 2026 skipped 1 relations with b > 2^32
  90. Tue Jan 27 12:48:46 2026 skipped 1 relations with composite factors
  91. Tue Jan 27 12:48:46 2026 skipped 451 malformed relations
  92. Tue Jan 27 12:48:46 2026 found 81273419 hash collisions in 418993687 relations
  93. Tue Jan 27 12:49:15 2026 added 121837 free relations
  94. Tue Jan 27 12:49:15 2026 commencing duplicate removal, pass 2
  95. Tue Jan 27 13:01:02 2026 found 82013224 duplicates and 337102300 unique relations
  96. Tue Jan 27 13:01:02 2026 memory use: 2643.0 MB
  97. Tue Jan 27 13:01:02 2026 reading ideals above 720000
  98. Tue Jan 27 13:01:02 2026 commencing singleton removal, initial pass
  99. Tue Jan 27 13:36:12 2026 memory use: 6024.0 MB
  100. Tue Jan 27 13:36:12 2026 reading all ideals from disk
  101. Tue Jan 27 13:36:20 2026 memory use: 16491.8 MB
  102. Tue Jan 27 13:37:18 2026 keeping 315424483 ideals with weight <= 200, target excess is 1705166
  103. Tue Jan 27 13:38:27 2026 commencing in-memory singleton removal
  104. Tue Jan 27 13:38:34 2026 begin with 337102300 relations and 315424483 unique ideals
  105. Tue Jan 27 13:39:05 2026 reduce to 204583591 relations and 168982602 ideals in 15 passes
  106. Tue Jan 27 13:39:05 2026 max relations containing the same ideal: 154
  107. Tue Jan 27 13:40:40 2026 removing 12692826 relations and 10692826 ideals in 2000000 cliques
  108. Tue Jan 27 13:40:49 2026 commencing in-memory singleton removal
  109. Tue Jan 27 13:40:55 2026 begin with 191890765 relations and 168982602 unique ideals
  110. Tue Jan 27 13:41:09 2026 reduce to 191314073 relations and 157705714 ideals in 8 passes
  111. Tue Jan 27 13:41:09 2026 max relations containing the same ideal: 146
  112. Tue Jan 27 13:42:43 2026 removing 9637994 relations and 7637994 ideals in 2000000 cliques
  113. Tue Jan 27 13:42:51 2026 commencing in-memory singleton removal
  114. Tue Jan 27 13:42:56 2026 begin with 181676079 relations and 157705714 unique ideals
  115. Tue Jan 27 13:43:13 2026 reduce to 181294899 relations and 149682498 ideals in 10 passes
  116. Tue Jan 27 13:43:13 2026 max relations containing the same ideal: 141
  117. Tue Jan 27 13:45:13 2026 removing 8698591 relations and 6698591 ideals in 2000000 cliques
  118. Tue Jan 27 13:45:21 2026 commencing in-memory singleton removal
  119. Tue Jan 27 13:45:26 2026 begin with 172596308 relations and 149682498 unique ideals
  120. Tue Jan 27 13:45:38 2026 reduce to 172262389 relations and 142646436 ideals in 7 passes
  121. Tue Jan 27 13:45:38 2026 max relations containing the same ideal: 137
  122. Tue Jan 27 13:47:01 2026 removing 8195300 relations and 6195300 ideals in 2000000 cliques
  123. Tue Jan 27 13:47:09 2026 commencing in-memory singleton removal
  124. Tue Jan 27 13:47:14 2026 begin with 164067089 relations and 142646436 unique ideals
  125. Tue Jan 27 13:47:26 2026 reduce to 163753862 relations and 136134640 ideals in 7 passes
  126. Tue Jan 27 13:47:26 2026 max relations containing the same ideal: 133
  127. Tue Jan 27 13:48:42 2026 removing 7875601 relations and 5875601 ideals in 2000000 cliques
  128. Tue Jan 27 13:48:49 2026 commencing in-memory singleton removal
  129. Tue Jan 27 13:48:53 2026 begin with 155878261 relations and 136134640 unique ideals
  130. Tue Jan 27 13:49:05 2026 reduce to 155573986 relations and 129951371 ideals in 7 passes
  131. Tue Jan 27 13:49:05 2026 max relations containing the same ideal: 130
  132. Tue Jan 27 13:50:19 2026 removing 7660679 relations and 5660679 ideals in 2000000 cliques
  133. Tue Jan 27 13:50:25 2026 commencing in-memory singleton removal
  134. Tue Jan 27 13:50:29 2026 begin with 147913307 relations and 129951371 unique ideals
  135. Tue Jan 27 13:50:39 2026 reduce to 147611239 relations and 123985109 ideals in 7 passes
  136. Tue Jan 27 13:50:39 2026 max relations containing the same ideal: 126
  137. Tue Jan 27 13:51:59 2026 removing 7516140 relations and 5516140 ideals in 2000000 cliques
  138. Tue Jan 27 13:52:06 2026 commencing in-memory singleton removal
  139. Tue Jan 27 13:52:09 2026 begin with 140095099 relations and 123985109 unique ideals
  140. Tue Jan 27 13:52:19 2026 reduce to 139789244 relations and 118159384 ideals in 7 passes
  141. Tue Jan 27 13:52:19 2026 max relations containing the same ideal: 123
  142. Tue Jan 27 13:53:33 2026 removing 7414930 relations and 5414930 ideals in 2000000 cliques
  143. Tue Jan 27 13:53:39 2026 commencing in-memory singleton removal
  144. Tue Jan 27 13:53:42 2026 begin with 132374314 relations and 118159384 unique ideals
  145. Tue Jan 27 13:53:51 2026 reduce to 132060518 relations and 112426705 ideals in 7 passes
  146. Tue Jan 27 13:53:51 2026 max relations containing the same ideal: 122
  147. Tue Jan 27 13:54:57 2026 removing 7351046 relations and 5351046 ideals in 2000000 cliques
  148. Tue Jan 27 13:55:02 2026 commencing in-memory singleton removal
  149. Tue Jan 27 13:55:06 2026 begin with 124709472 relations and 112426705 unique ideals
  150. Tue Jan 27 13:55:14 2026 reduce to 124382763 relations and 106744561 ideals in 7 passes
  151. Tue Jan 27 13:55:14 2026 max relations containing the same ideal: 118
  152. Tue Jan 27 13:56:18 2026 removing 7316526 relations and 5316526 ideals in 2000000 cliques
  153. Tue Jan 27 13:56:24 2026 commencing in-memory singleton removal
  154. Tue Jan 27 13:56:27 2026 begin with 117066237 relations and 106744561 unique ideals
  155. Tue Jan 27 13:56:35 2026 reduce to 116725086 relations and 101081854 ideals in 8 passes
  156. Tue Jan 27 13:56:35 2026 max relations containing the same ideal: 114
  157. Tue Jan 27 13:57:32 2026 removing 7307782 relations and 5307782 ideals in 2000000 cliques
  158. Tue Jan 27 13:57:37 2026 commencing in-memory singleton removal
  159. Tue Jan 27 13:57:39 2026 begin with 109417304 relations and 101081854 unique ideals
  160. Tue Jan 27 13:57:47 2026 reduce to 109054361 relations and 95405634 ideals in 7 passes
  161. Tue Jan 27 13:57:47 2026 max relations containing the same ideal: 108
  162. Tue Jan 27 13:58:38 2026 removing 7324402 relations and 5324402 ideals in 2000000 cliques
  163. Tue Jan 27 13:58:43 2026 commencing in-memory singleton removal
  164. Tue Jan 27 13:58:45 2026 begin with 101729959 relations and 95405634 unique ideals
  165. Tue Jan 27 13:58:53 2026 reduce to 101339830 relations and 89684647 ideals in 7 passes
  166. Tue Jan 27 13:58:53 2026 max relations containing the same ideal: 105
  167. Tue Jan 27 13:59:42 2026 removing 7363864 relations and 5363864 ideals in 2000000 cliques
  168. Tue Jan 27 13:59:47 2026 commencing in-memory singleton removal
  169. Tue Jan 27 13:59:49 2026 begin with 93975966 relations and 89684647 unique ideals
  170. Tue Jan 27 13:59:57 2026 reduce to 93548802 relations and 83886224 ideals in 9 passes
  171. Tue Jan 27 13:59:57 2026 max relations containing the same ideal: 98
  172. Tue Jan 27 14:00:44 2026 removing 7435640 relations and 5435640 ideals in 2000000 cliques
  173. Tue Jan 27 14:00:49 2026 commencing in-memory singleton removal
  174. Tue Jan 27 14:00:51 2026 begin with 86113162 relations and 83886224 unique ideals
  175. Tue Jan 27 14:00:56 2026 reduce to 85638717 relations and 77967262 ideals in 7 passes
  176. Tue Jan 27 14:00:56 2026 max relations containing the same ideal: 93
  177. Tue Jan 27 14:01:37 2026 removing 7531968 relations and 5531968 ideals in 2000000 cliques
  178. Tue Jan 27 14:01:41 2026 commencing in-memory singleton removal
  179. Tue Jan 27 14:01:43 2026 begin with 78106749 relations and 77967262 unique ideals
  180. Tue Jan 27 14:01:49 2026 reduce to 77568228 relations and 71886095 ideals in 7 passes
  181. Tue Jan 27 14:01:49 2026 max relations containing the same ideal: 88
  182. Tue Jan 27 14:02:27 2026 removing 7671891 relations and 5671891 ideals in 2000000 cliques
  183. Tue Jan 27 14:02:31 2026 commencing in-memory singleton removal
  184. Tue Jan 27 14:02:32 2026 begin with 69896337 relations and 71886095 unique ideals
  185. Tue Jan 27 14:02:38 2026 reduce to 69271036 relations and 65575299 ideals in 8 passes
  186. Tue Jan 27 14:02:38 2026 max relations containing the same ideal: 79
  187. Tue Jan 27 14:03:14 2026 removing 6966533 relations and 5248789 ideals in 1717744 cliques
  188. Tue Jan 27 14:03:18 2026 commencing in-memory singleton removal
  189. Tue Jan 27 14:03:20 2026 begin with 62304503 relations and 65575299 unique ideals
  190. Tue Jan 27 14:03:24 2026 reduce to 61720420 relations and 59729996 ideals in 9 passes
  191. Tue Jan 27 14:03:24 2026 max relations containing the same ideal: 74
  192. Tue Jan 27 14:03:56 2026 removing 111562 relations and 99131 ideals in 12431 cliques
  193. Tue Jan 27 14:03:58 2026 commencing in-memory singleton removal
  194. Tue Jan 27 14:04:00 2026 begin with 61608858 relations and 59729996 unique ideals
  195. Tue Jan 27 14:04:02 2026 reduce to 61608733 relations and 59630740 ideals in 4 passes
  196. Tue Jan 27 14:04:02 2026 max relations containing the same ideal: 74
  197. Tue Jan 27 14:04:14 2026 relations with 0 large ideals: 5649
  198. Tue Jan 27 14:04:14 2026 relations with 1 large ideals: 38695
  199. Tue Jan 27 14:04:14 2026 relations with 2 large ideals: 509199
  200. Tue Jan 27 14:04:14 2026 relations with 3 large ideals: 2859649
  201. Tue Jan 27 14:04:14 2026 relations with 4 large ideals: 8581719
  202. Tue Jan 27 14:04:14 2026 relations with 5 large ideals: 15230457
  203. Tue Jan 27 14:04:14 2026 relations with 6 large ideals: 16760381
  204. Tue Jan 27 14:04:14 2026 relations with 7+ large ideals: 17622984
  205. Tue Jan 27 14:04:14 2026 commencing 2-way merge
  206. Tue Jan 27 14:05:00 2026 reduce to 38207280 relation sets and 36229287 unique ideals
  207. Tue Jan 27 14:05:00 2026 commencing full merge
  208. Tue Jan 27 14:21:37 2026 memory use: 4429.8 MB
  209. Tue Jan 27 14:21:41 2026 found 16505265 cycles, need 16423487
  210. Tue Jan 27 14:21:47 2026 weight of 16423487 cycles is about 2135176403 (130.01/cycle)
  211. Tue Jan 27 14:21:47 2026 distribution of cycle lengths:
  212. Tue Jan 27 14:21:47 2026 1 relations: 1110447
  213. Tue Jan 27 14:21:47 2026 2 relations: 1064082
  214. Tue Jan 27 14:21:47 2026 3 relations: 1098543
  215. Tue Jan 27 14:21:47 2026 4 relations: 1085773
  216. Tue Jan 27 14:21:47 2026 5 relations: 1091142
  217. Tue Jan 27 14:21:47 2026 6 relations: 1075528
  218. Tue Jan 27 14:21:47 2026 7 relations: 1073137
  219. Tue Jan 27 14:21:47 2026 8 relations: 1025765
  220. Tue Jan 27 14:21:47 2026 9 relations: 982975
  221. Tue Jan 27 14:21:47 2026 10+ relations: 6816095
  222. Tue Jan 27 14:21:47 2026 heaviest cycle: 28 relations
  223. Tue Jan 27 14:21:52 2026 commencing cycle optimization
  224. Tue Jan 27 14:22:35 2026 start with 147995904 relations
  225. Tue Jan 27 14:28:38 2026 pruned 6541009 relations
  226. Tue Jan 27 14:28:38 2026 memory use: 4014.9 MB
  227. Tue Jan 27 14:28:39 2026 distribution of cycle lengths:
  228. Tue Jan 27 14:28:39 2026 1 relations: 1110447
  229. Tue Jan 27 14:28:39 2026 2 relations: 1092139
  230. Tue Jan 27 14:28:39 2026 3 relations: 1143159
  231. Tue Jan 27 14:28:39 2026 4 relations: 1127991
  232. Tue Jan 27 14:28:39 2026 5 relations: 1142336
  233. Tue Jan 27 14:28:39 2026 6 relations: 1126461
  234. Tue Jan 27 14:28:39 2026 7 relations: 1125277
  235. Tue Jan 27 14:28:39 2026 8 relations: 1073922
  236. Tue Jan 27 14:28:39 2026 9 relations: 1028107
  237. Tue Jan 27 14:28:39 2026 10+ relations: 6453648
  238. Tue Jan 27 14:28:39 2026 heaviest cycle: 28 relations
  239. Tue Jan 27 14:29:08 2026 RelProcTime: 7121
  240. Tue Jan 27 14:29:08 2026
  241. Tue Jan 27 14:29:08 2026 commencing linear algebra
  242. Tue Jan 27 14:29:08 2026 using VBITS=256
  243. Tue Jan 27 14:29:08 2026 stopping after matrix build
  244. Tue Jan 27 14:29:10 2026 read 16423487 cycles
  245. Tue Jan 27 14:29:44 2026 cycles contain 60354145 unique relations
  246. Tue Jan 27 14:37:38 2026 read 60354145 relations
  247. Tue Jan 27 14:37:50 2026 using 20 quadratic characters above 4294917295
  248. Tue Jan 27 14:38:00 2026 building initial matrix
  249. Tue Jan 27 14:56:43 2026 memory use: 8292.1 MB
  250. Tue Jan 27 14:56:53 2026 read 16423487 cycles
  251. Tue Jan 27 14:56:56 2026 matrix is 16423310 x 16423487 (8289.9 MB) with weight 2503301905 (152.42/col)
  252. Tue Jan 27 14:56:56 2026 sparse part has weight 1976059289 (120.32/col)
  253. Tue Jan 27 15:02:19 2026 filtering completed in 2 passes
  254. Tue Jan 27 15:02:23 2026 matrix is 16422544 x 16422719 (8289.8 MB) with weight 2503262029 (152.43/col)
  255. Tue Jan 27 15:02:23 2026 sparse part has weight 1976045988 (120.32/col)
  256. Tue Jan 27 15:03:31 2026 BLanczosTime: 2063
  257. Tue Jan 27 15:03:31 2026 elapsed time 02:33:06
  258. Tue Jan 27 15:12:21 2026
  259. Tue Jan 27 15:12:21 2026
  260. Tue Jan 27 15:12:21 2026 Msieve v. 1.54 (SVN Unversioned directory)
  261. Tue Jan 27 15:12:21 2026 random seeds: 31ea8edd 3b5d6ba2
  262. Tue Jan 27 15:12:21 2026 Using 64 OpenMP threads
  263. Tue Jan 27 15:12:21 2026 factoring 5124984437715247526266133565580402983307306847451414410133304851281204066266199034382520973894957277347486077141945714494342090239676993389998718147652801595001348321964803241480483 (181 digits)
  264. Tue Jan 27 15:12:22 2026 searching for 15-digit factors
  265. Tue Jan 27 15:12:23 2026 commencing number field sieve (181-digit input)
  266. Tue Jan 27 15:12:23 2026 R0: -66784101179759639168820520058554320
  267. Tue Jan 27 15:12:23 2026 R1: 29829415211122952713082567
  268. Tue Jan 27 15:12:23 2026 A0: 619273109310641874396628740595233546688594
  269. Tue Jan 27 15:12:23 2026 A1: -661881799751809837721617805467126595
  270. Tue Jan 27 15:12:23 2026 A2: -325304427186234166305603371428
  271. Tue Jan 27 15:12:23 2026 A3: 54674472469749102939545
  272. Tue Jan 27 15:12:23 2026 A4: 5231370859133484
  273. Tue Jan 27 15:12:23 2026 A5: 97952400
  274. Tue Jan 27 15:12:23 2026 skew 10266137.70, size 1.126e-17, alpha -8.556, combined = 7.618e-14 rroots = 5
  275. Tue Jan 27 15:12:23 2026
  276. Tue Jan 27 15:12:23 2026 commencing linear algebra
  277. Tue Jan 27 15:12:23 2026 using VBITS=256
  278. Tue Jan 27 15:12:23 2026 skipping matrix build
  279. Tue Jan 27 15:12:31 2026 matrix starts at (0, 0)
  280. Tue Jan 27 15:12:36 2026 matrix is 16422544 x 16422719 (8289.8 MB) with weight 2503262029 (152.43/col)
  281. Tue Jan 27 15:12:36 2026 sparse part has weight 1976045988 (120.32/col)
  282. Tue Jan 27 15:12:36 2026 saving the first 240 matrix rows for later
  283. Tue Jan 27 15:12:43 2026 matrix includes 256 packed rows
  284. Tue Jan 27 15:12:54 2026 matrix is 16422304 x 16422719 (7489.7 MB) with weight 1807597709 (110.07/col)
  285. Tue Jan 27 15:12:54 2026 sparse part has weight 1700620009 (103.55/col)
  286. Tue Jan 27 15:12:54 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  287. Tue Jan 27 15:13:35 2026 commencing Lanczos iteration (64 threads)
  288. Tue Jan 27 15:13:35 2026 memory use: 10129.9 MB
  289. Tue Jan 27 15:16:25 2026 linear algebra at 0.2%, ETA 24h50m
  290. Tue Jan 27 15:20:28 2026 checking every 10000 dimensions, checkpointing every 680000 dimensions
  291. Wed Jan 28 14:59:17 2026 lanczos halted after 64341 iterations (dim = 16422302)
  292. Wed Jan 28 15:00:34 2026 recovered 26 nontrivial dependencies
  293. Wed Jan 28 15:00:35 2026 BLanczosTime: 85692
  294. Wed Jan 28 15:00:35 2026
  295. Wed Jan 28 15:00:35 2026 commencing square root phase
  296. Wed Jan 28 15:00:35 2026 handling dependencies 1 to 64
  297. Wed Jan 28 15:00:35 2026 reading relations for dependency 1
  298. Wed Jan 28 15:00:37 2026 read 8210843 cycles
  299. Wed Jan 28 15:00:51 2026 cycles contain 30175012 unique relations
  300. Wed Jan 28 15:08:48 2026 read 30175012 relations
  301. Wed Jan 28 15:11:27 2026 multiplying 30175012 relations
  302. Wed Jan 28 15:18:04 2026 multiply complete, coefficients have about 1961.23 million bits
  303. Wed Jan 28 15:18:11 2026 initial square root is modulo 627368321
  304. Wed Jan 28 15:41:25 2026 GCD is N, no factor found
  305. Wed Jan 28 15:41:25 2026 reading relations for dependency 2
  306. Wed Jan 28 15:41:28 2026 read 8210891 cycles
  307. Wed Jan 28 15:42:00 2026 cycles contain 30174338 unique relations
  308. Wed Jan 28 15:50:23 2026 read 30174338 relations
  309. Wed Jan 28 15:54:20 2026 multiplying 30174338 relations
  310. Wed Jan 28 16:00:38 2026 multiply complete, coefficients have about 1961.18 million bits
  311. Wed Jan 28 16:00:46 2026 initial square root is modulo 627080203
  312. Wed Jan 28 16:24:21 2026 sqrtTime: 5026
  313. Wed Jan 28 16:24:21 2026 p56 factor: 84706121205007296365503579816322867313349695685681156193
  314. Wed Jan 28 16:24:21 2026 p125 factor: 60503117895242386378183631957856094352368867164469989822016792612006738115963887853677921782694350852166965792020834927894531
  315. Wed Jan 28 16:24:21 2026 elapsed time 25:12:00
  316.  
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