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Jun 8th, 2026
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  1. Sun Jun 7 19:27:01 2026
  2. Sun Jun 7 19:27:01 2026
  3. Sun Jun 7 19:27:01 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Jun 7 19:27:01 2026 random seeds: db95cde2 7c7601da
  5. Sun Jun 7 19:27:01 2026 MPI process 0 of 1
  6. Sun Jun 7 19:27:01 2026 Using 32 OpenMP threads
  7. Sun Jun 7 19:27:01 2026 factoring 21150148044810736243598593851030684837345901271180229921122583392322356787949869629567683326641374074824830258021896439120787812810347568239685596222813285786098872922811170554186409 (182 digits)
  8. Sun Jun 7 19:27:02 2026 searching for 15-digit factors
  9. Sun Jun 7 19:27:03 2026 commencing number field sieve (182-digit input)
  10. Sun Jun 7 19:27:03 2026 reversing signs of algebraic polynomial
  11. Sun Jun 7 19:27:03 2026 R0: -203659160065162015471296961126689676
  12. Sun Jun 7 19:27:03 2026 R1: 1038352113993836523156173
  13. Sun Jun 7 19:27:03 2026 A0: -14154090270140634061907012359712311840070745
  14. Sun Jun 7 19:27:03 2026 A1: -2828279814879330124199005365193854573
  15. Sun Jun 7 19:27:03 2026 A2: 302900879107049938180295107081
  16. Sun Jun 7 19:27:03 2026 A3: 7786841948844070569873
  17. Sun Jun 7 19:27:03 2026 A4: -156314448902556
  18. Sun Jun 7 19:27:03 2026 A5: 423360
  19. Sun Jun 7 19:27:03 2026 skew 52418645.24, size 1.138e-17, alpha -7.952, combined = 7.770e-14 rroots = 5
  20. Sun Jun 7 19:27:03 2026
  21. Sun Jun 7 19:27:03 2026 commencing relation filtering
  22. Sun Jun 7 19:27:03 2026 setting target matrix density to 130.0
  23. Sun Jun 7 19:27:03 2026 reversing signs of algebraic polynomial
  24. Sun Jun 7 19:27:03 2026 estimated available RAM is 257736.5 MB
  25. Sun Jun 7 19:27:03 2026 commencing duplicate removal, pass 1
  26. Sun Jun 7 19:27:25 2026 error -1 reading relation 8344390
  27. Sun Jun 7 19:28:33 2026 error -1 reading relation 35160589
  28. Sun Jun 7 19:28:55 2026 error -1 reading relation 43714508
  29. Sun Jun 7 19:29:23 2026 error -1 reading relation 53746671
  30. Sun Jun 7 19:29:30 2026 error -1 reading relation 56519834
  31. Sun Jun 7 19:29:44 2026 error -1 reading relation 61234060
  32. Sun Jun 7 19:31:09 2026 error -1 reading relation 90095348
  33. Sun Jun 7 19:31:53 2026 error -1 reading relation 105672744
  34. Sun Jun 7 19:33:02 2026 error -1 reading relation 126375349
  35. Sun Jun 7 19:34:50 2026 error -1 reading relation 157367353
  36. Sun Jun 7 19:35:12 2026 error -1 reading relation 163984268
  37. Sun Jun 7 19:35:15 2026 error -1 reading relation 164790932
  38. Sun Jun 7 19:35:18 2026 error -15 reading relation 165607786
  39. Sun Jun 7 19:35:18 2026 error -1 reading relation 165607787
  40. Sun Jun 7 19:35:19 2026 error -1 reading relation 165849094
  41. Sun Jun 7 19:35:47 2026 error -1 reading relation 174312964
  42. Sun Jun 7 19:35:50 2026 error -6 reading relation 175203623
  43. Sun Jun 7 19:36:34 2026 error -1 reading relation 187999299
  44. Sun Jun 7 19:36:40 2026 error -1 reading relation 189941770
  45. Sun Jun 7 19:36:41 2026 error -1 reading relation 189993390
  46. Sun Jun 7 19:37:01 2026 error -1 reading relation 196150672
  47. Sun Jun 7 19:37:05 2026 error -15 reading relation 197545160
  48. Sun Jun 7 19:37:08 2026 error -15 reading relation 198376891
  49. Sun Jun 7 19:37:14 2026 error -1 reading relation 200055344
  50. Sun Jun 7 19:37:18 2026 error -1 reading relation 201233854
  51. Sun Jun 7 19:37:26 2026 error -1 reading relation 203785690
  52. Sun Jun 7 19:37:33 2026 error -1 reading relation 205712810
  53. Sun Jun 7 19:38:20 2026 error -15 reading relation 219804356
  54. Sun Jun 7 19:38:49 2026 error -1 reading relation 228201936
  55. Sun Jun 7 19:39:29 2026 error -1 reading relation 240346611
  56. Sun Jun 7 19:39:50 2026 error -1 reading relation 245544139
  57. Sun Jun 7 19:40:24 2026 error -1 reading relation 254625057
  58. Sun Jun 7 19:41:01 2026 error -1 reading relation 265236976
  59. Sun Jun 7 19:41:05 2026 error -1 reading relation 266283148
  60. Sun Jun 7 19:41:15 2026 error -1 reading relation 269636217
  61. Sun Jun 7 19:42:25 2026 error -1 reading relation 289642939
  62. Sun Jun 7 19:42:56 2026 error -1 reading relation 298376931
  63. Sun Jun 7 19:42:56 2026 error -1 reading relation 298384207
  64. Sun Jun 7 19:43:11 2026 error -1 reading relation 302736712
  65. Sun Jun 7 19:44:04 2026 error -1 reading relation 317959820
  66. Sun Jun 7 19:44:06 2026 error -1 reading relation 318472936
  67. Sun Jun 7 19:44:32 2026 error -1 reading relation 325785598
  68. Sun Jun 7 19:44:51 2026 error -1 reading relation 331057749
  69. Sun Jun 7 19:45:21 2026 error -1 reading relation 339863278
  70. Sun Jun 7 19:45:45 2026 error -1 reading relation 346383031
  71. Sun Jun 7 19:45:54 2026 error -1 reading relation 349074497
  72. Sun Jun 7 19:45:56 2026 error -1 reading relation 349505268
  73. Sun Jun 7 19:46:10 2026 error -1 reading relation 353667025
  74. Sun Jun 7 19:46:27 2026 error -1 reading relation 358602417
  75. Sun Jun 7 19:46:41 2026 error -1 reading relation 362831069
  76. Sun Jun 7 19:46:57 2026 error -15 reading relation 367239580
  77. Sun Jun 7 19:47:10 2026 error -1 reading relation 371037582
  78. Sun Jun 7 19:47:26 2026 error -1 reading relation 375843432
  79. Sun Jun 7 19:47:27 2026 error -15 reading relation 376235890
  80. Sun Jun 7 19:48:00 2026 error -1 reading relation 385650337
  81. Sun Jun 7 19:48:28 2026 error -1 reading relation 393528082
  82. Sun Jun 7 19:48:28 2026 error -1 reading relation 393593540
  83. Sun Jun 7 19:48:29 2026 error -1 reading relation 393982909
  84. Sun Jun 7 19:48:42 2026 error -1 reading relation 397428661
  85. Sun Jun 7 19:48:42 2026 error -1 reading relation 397482374
  86. Sun Jun 7 19:48:44 2026 error -1 reading relation 398262863
  87. Sun Jun 7 19:48:56 2026 error -1 reading relation 401857150
  88. Sun Jun 7 19:49:03 2026 error -1 reading relation 404077045
  89. Sun Jun 7 19:49:15 2026 error -1 reading relation 407774244
  90. Sun Jun 7 19:49:22 2026 error -1 reading relation 409843631
  91. Sun Jun 7 19:49:43 2026 error -1 reading relation 415531051
  92. Sun Jun 7 19:50:46 2026 error -1 reading relation 433723260
  93. Sun Jun 7 19:50:52 2026 error -1 reading relation 435243467
  94. Sun Jun 7 19:50:52 2026 error -1 reading relation 435244178
  95. Sun Jun 7 19:50:53 2026 error -1 reading relation 435586733
  96. Sun Jun 7 19:50:55 2026 error -1 reading relation 436389077
  97. Sun Jun 7 19:50:57 2026 skipped 1 relations with composite factors
  98. Sun Jun 7 19:50:57 2026 skipped 379 malformed relations
  99. Sun Jun 7 19:50:57 2026 found 91876024 hash collisions in 436748949 relations
  100. Sun Jun 7 19:51:32 2026 added 122634 free relations
  101. Sun Jun 7 19:51:32 2026 commencing duplicate removal, pass 2
  102. Sun Jun 7 20:06:58 2026 found 94834427 duplicates and 342037156 unique relations
  103. Sun Jun 7 20:06:58 2026 memory use: 2643.0 MB
  104. Sun Jun 7 20:06:59 2026 reading ideals above 720000
  105. Sun Jun 7 20:06:59 2026 commencing singleton removal, initial pass
  106. Sun Jun 7 21:21:28 2026 memory use: 6024.0 MB
  107. Sun Jun 7 21:21:30 2026 reading all ideals from disk
  108. Sun Jun 7 21:21:43 2026 memory use: 16685.0 MB
  109. Sun Jun 7 21:23:51 2026 keeping 316798179 ideals with weight <= 200, target excess is 1728461
  110. Sun Jun 7 21:26:19 2026 commencing in-memory singleton removal
  111. Sun Jun 7 21:26:26 2026 begin with 342037156 relations and 316798179 unique ideals
  112. Sun Jun 7 21:27:01 2026 reduce to 210997660 relations and 172304150 ideals in 14 passes
  113. Sun Jun 7 21:27:01 2026 max relations containing the same ideal: 152
  114. Sun Jun 7 21:30:09 2026 removing 12433318 relations and 10433318 ideals in 2000000 cliques
  115. Sun Jun 7 21:30:21 2026 commencing in-memory singleton removal
  116. Sun Jun 7 21:30:27 2026 begin with 198564342 relations and 172304150 unique ideals
  117. Sun Jun 7 21:30:46 2026 reduce to 198036508 relations and 161336427 ideals in 8 passes
  118. Sun Jun 7 21:30:46 2026 max relations containing the same ideal: 146
  119. Sun Jun 7 21:33:53 2026 removing 9448881 relations and 7448881 ideals in 2000000 cliques
  120. Sun Jun 7 21:34:04 2026 commencing in-memory singleton removal
  121. Sun Jun 7 21:34:12 2026 begin with 188587627 relations and 161336427 unique ideals
  122. Sun Jun 7 21:34:27 2026 reduce to 188236709 relations and 153532834 ideals in 7 passes
  123. Sun Jun 7 21:34:27 2026 max relations containing the same ideal: 143
  124. Sun Jun 7 21:37:13 2026 removing 8521415 relations and 6521415 ideals in 2000000 cliques
  125. Sun Jun 7 21:37:24 2026 commencing in-memory singleton removal
  126. Sun Jun 7 21:37:31 2026 begin with 179715294 relations and 153532834 unique ideals
  127. Sun Jun 7 21:37:47 2026 reduce to 179408767 relations and 146701751 ideals in 8 passes
  128. Sun Jun 7 21:37:47 2026 max relations containing the same ideal: 140
  129. Sun Jun 7 21:40:19 2026 removing 8029879 relations and 6029879 ideals in 2000000 cliques
  130. Sun Jun 7 21:40:29 2026 commencing in-memory singleton removal
  131. Sun Jun 7 21:40:33 2026 begin with 171378888 relations and 146701751 unique ideals
  132. Sun Jun 7 21:40:45 2026 reduce to 171091304 relations and 140381290 ideals in 7 passes
  133. Sun Jun 7 21:40:45 2026 max relations containing the same ideal: 137
  134. Sun Jun 7 21:43:04 2026 removing 7714013 relations and 5714013 ideals in 2000000 cliques
  135. Sun Jun 7 21:43:12 2026 commencing in-memory singleton removal
  136. Sun Jun 7 21:43:16 2026 begin with 163377291 relations and 140381290 unique ideals
  137. Sun Jun 7 21:43:28 2026 reduce to 163100910 relations and 134387899 ideals in 7 passes
  138. Sun Jun 7 21:43:28 2026 max relations containing the same ideal: 130
  139. Sun Jun 7 21:45:55 2026 removing 7497473 relations and 5497473 ideals in 2000000 cliques
  140. Sun Jun 7 21:46:05 2026 commencing in-memory singleton removal
  141. Sun Jun 7 21:46:10 2026 begin with 155603437 relations and 134387899 unique ideals
  142. Sun Jun 7 21:46:22 2026 reduce to 155329398 relations and 128613391 ideals in 7 passes
  143. Sun Jun 7 21:46:22 2026 max relations containing the same ideal: 128
  144. Sun Jun 7 21:48:42 2026 removing 7348771 relations and 5348771 ideals in 2000000 cliques
  145. Sun Jun 7 21:48:51 2026 commencing in-memory singleton removal
  146. Sun Jun 7 21:48:54 2026 begin with 147980627 relations and 128613391 unique ideals
  147. Sun Jun 7 21:49:06 2026 reduce to 147705898 relations and 122986536 ideals in 7 passes
  148. Sun Jun 7 21:49:06 2026 max relations containing the same ideal: 123
  149. Sun Jun 7 21:51:10 2026 removing 7243420 relations and 5243420 ideals in 2000000 cliques
  150. Sun Jun 7 21:51:18 2026 commencing in-memory singleton removal
  151. Sun Jun 7 21:51:22 2026 begin with 140462478 relations and 122986536 unique ideals
  152. Sun Jun 7 21:51:33 2026 reduce to 140180937 relations and 117458186 ideals in 7 passes
  153. Sun Jun 7 21:51:33 2026 max relations containing the same ideal: 116
  154. Sun Jun 7 21:53:38 2026 removing 7172644 relations and 5172644 ideals in 2000000 cliques
  155. Sun Jun 7 21:53:46 2026 commencing in-memory singleton removal
  156. Sun Jun 7 21:53:49 2026 begin with 133008293 relations and 117458186 unique ideals
  157. Sun Jun 7 21:53:58 2026 reduce to 132720504 relations and 111994034 ideals in 7 passes
  158. Sun Jun 7 21:53:58 2026 max relations containing the same ideal: 112
  159. Sun Jun 7 21:56:01 2026 removing 7125093 relations and 5125093 ideals in 2000000 cliques
  160. Sun Jun 7 21:56:08 2026 commencing in-memory singleton removal
  161. Sun Jun 7 21:56:11 2026 begin with 125595411 relations and 111994034 unique ideals
  162. Sun Jun 7 21:56:19 2026 reduce to 125293305 relations and 106562760 ideals in 7 passes
  163. Sun Jun 7 21:56:19 2026 max relations containing the same ideal: 111
  164. Sun Jun 7 21:58:11 2026 removing 7103785 relations and 5103785 ideals in 2000000 cliques
  165. Sun Jun 7 21:58:18 2026 commencing in-memory singleton removal
  166. Sun Jun 7 21:58:21 2026 begin with 118189520 relations and 106562760 unique ideals
  167. Sun Jun 7 21:58:29 2026 reduce to 117873266 relations and 101138193 ideals in 7 passes
  168. Sun Jun 7 21:58:29 2026 max relations containing the same ideal: 105
  169. Sun Jun 7 22:00:14 2026 removing 7104426 relations and 5104426 ideals in 2000000 cliques
  170. Sun Jun 7 22:00:21 2026 commencing in-memory singleton removal
  171. Sun Jun 7 22:00:25 2026 begin with 110768840 relations and 101138193 unique ideals
  172. Sun Jun 7 22:00:33 2026 reduce to 110432464 relations and 95692239 ideals in 7 passes
  173. Sun Jun 7 22:00:33 2026 max relations containing the same ideal: 100
  174. Sun Jun 7 22:02:16 2026 removing 7121262 relations and 5121262 ideals in 2000000 cliques
  175. Sun Jun 7 22:02:22 2026 commencing in-memory singleton removal
  176. Sun Jun 7 22:02:25 2026 begin with 103311202 relations and 95692239 unique ideals
  177. Sun Jun 7 22:02:33 2026 reduce to 102951535 relations and 90205471 ideals in 7 passes
  178. Sun Jun 7 22:02:33 2026 max relations containing the same ideal: 94
  179. Sun Jun 7 22:04:07 2026 removing 7166782 relations and 5166782 ideals in 2000000 cliques
  180. Sun Jun 7 22:04:14 2026 commencing in-memory singleton removal
  181. Sun Jun 7 22:04:17 2026 begin with 95784753 relations and 90205471 unique ideals
  182. Sun Jun 7 22:04:24 2026 reduce to 95391048 relations and 84638258 ideals in 7 passes
  183. Sun Jun 7 22:04:24 2026 max relations containing the same ideal: 91
  184. Sun Jun 7 22:06:01 2026 removing 7233668 relations and 5233668 ideals in 2000000 cliques
  185. Sun Jun 7 22:06:07 2026 commencing in-memory singleton removal
  186. Sun Jun 7 22:06:09 2026 begin with 88157380 relations and 84638258 unique ideals
  187. Sun Jun 7 22:06:15 2026 reduce to 87721556 relations and 78960916 ideals in 7 passes
  188. Sun Jun 7 22:06:15 2026 max relations containing the same ideal: 88
  189. Sun Jun 7 22:07:34 2026 removing 7323617 relations and 5323617 ideals in 2000000 cliques
  190. Sun Jun 7 22:07:40 2026 commencing in-memory singleton removal
  191. Sun Jun 7 22:07:42 2026 begin with 80397939 relations and 78960916 unique ideals
  192. Sun Jun 7 22:07:48 2026 reduce to 79907994 relations and 73137621 ideals in 9 passes
  193. Sun Jun 7 22:07:48 2026 max relations containing the same ideal: 81
  194. Sun Jun 7 22:08:59 2026 removing 7456216 relations and 5456216 ideals in 2000000 cliques
  195. Sun Jun 7 22:09:04 2026 commencing in-memory singleton removal
  196. Sun Jun 7 22:09:06 2026 begin with 72451778 relations and 73137621 unique ideals
  197. Sun Jun 7 22:09:12 2026 reduce to 71887145 relations and 67104754 ideals in 8 passes
  198. Sun Jun 7 22:09:12 2026 max relations containing the same ideal: 76
  199. Sun Jun 7 22:10:18 2026 removing 7627885 relations and 5627885 ideals in 2000000 cliques
  200. Sun Jun 7 22:10:23 2026 commencing in-memory singleton removal
  201. Sun Jun 7 22:10:25 2026 begin with 64259260 relations and 67104754 unique ideals
  202. Sun Jun 7 22:10:31 2026 reduce to 63588979 relations and 60790876 ideals in 11 passes
  203. Sun Jun 7 22:10:31 2026 max relations containing the same ideal: 69
  204. Sun Jun 7 22:11:30 2026 removing 3780099 relations and 2987011 ideals in 793088 cliques
  205. Sun Jun 7 22:11:34 2026 commencing in-memory singleton removal
  206. Sun Jun 7 22:11:35 2026 begin with 59808880 relations and 60790876 unique ideals
  207. Sun Jun 7 22:11:39 2026 reduce to 59637148 relations and 57630335 ideals in 7 passes
  208. Sun Jun 7 22:11:39 2026 max relations containing the same ideal: 67
  209. Sun Jun 7 22:12:48 2026 relations with 0 large ideals: 5973
  210. Sun Jun 7 22:12:48 2026 relations with 1 large ideals: 42807
  211. Sun Jun 7 22:12:48 2026 relations with 2 large ideals: 557004
  212. Sun Jun 7 22:12:48 2026 relations with 3 large ideals: 3037429
  213. Sun Jun 7 22:12:48 2026 relations with 4 large ideals: 8843059
  214. Sun Jun 7 22:12:48 2026 relations with 5 large ideals: 15152770
  215. Sun Jun 7 22:12:48 2026 relations with 6 large ideals: 16050370
  216. Sun Jun 7 22:12:48 2026 relations with 7+ large ideals: 15947736
  217. Sun Jun 7 22:12:48 2026 commencing 2-way merge
  218. Sun Jun 7 22:14:09 2026 reduce to 37117945 relation sets and 35111132 unique ideals
  219. Sun Jun 7 22:14:09 2026 commencing full merge
  220. Sun Jun 7 22:41:46 2026 memory use: 4286.5 MB
  221. Sun Jun 7 22:41:53 2026 found 16086620 cycles, need 15963332
  222. Sun Jun 7 22:42:02 2026 weight of 15963332 cycles is about 2075683433 (130.03/cycle)
  223. Sun Jun 7 22:42:02 2026 distribution of cycle lengths:
  224. Sun Jun 7 22:42:02 2026 1 relations: 1047896
  225. Sun Jun 7 22:42:02 2026 2 relations: 1019991
  226. Sun Jun 7 22:42:02 2026 3 relations: 1048380
  227. Sun Jun 7 22:42:02 2026 4 relations: 1048897
  228. Sun Jun 7 22:42:02 2026 5 relations: 1054879
  229. Sun Jun 7 22:42:02 2026 6 relations: 1048943
  230. Sun Jun 7 22:42:02 2026 7 relations: 1045804
  231. Sun Jun 7 22:42:02 2026 8 relations: 1006018
  232. Sun Jun 7 22:42:02 2026 9 relations: 968415
  233. Sun Jun 7 22:42:02 2026 10+ relations: 6674109
  234. Sun Jun 7 22:42:02 2026 heaviest cycle: 28 relations
  235. Sun Jun 7 22:42:13 2026 commencing cycle optimization
  236. Sun Jun 7 22:43:33 2026 start with 143611075 relations
  237. Sun Jun 7 22:54:47 2026 pruned 6376326 relations
  238. Sun Jun 7 22:54:47 2026 memory use: 3893.2 MB
  239. Sun Jun 7 22:54:47 2026 distribution of cycle lengths:
  240. Sun Jun 7 22:54:47 2026 1 relations: 1047896
  241. Sun Jun 7 22:54:47 2026 2 relations: 1046650
  242. Sun Jun 7 22:54:47 2026 3 relations: 1091953
  243. Sun Jun 7 22:54:47 2026 4 relations: 1090080
  244. Sun Jun 7 22:54:47 2026 5 relations: 1104627
  245. Sun Jun 7 22:54:47 2026 6 relations: 1098014
  246. Sun Jun 7 22:54:47 2026 7 relations: 1098740
  247. Sun Jun 7 22:54:47 2026 8 relations: 1055822
  248. Sun Jun 7 22:54:47 2026 9 relations: 1015257
  249. Sun Jun 7 22:54:47 2026 10+ relations: 6314293
  250. Sun Jun 7 22:54:47 2026 heaviest cycle: 28 relations
  251. Sun Jun 7 22:55:51 2026 RelProcTime: 12528
  252. Sun Jun 7 22:55:51 2026
  253. Sun Jun 7 22:55:51 2026 commencing linear algebra
  254. Sun Jun 7 22:55:51 2026 using VBITS=256
  255. Sun Jun 7 22:55:51 2026 stopping after matrix build
  256. Sun Jun 7 22:55:51 2026 initialized process (0,0) of 1 x 1 grid
  257. Sun Jun 7 22:55:51 2026 reversing signs of algebraic polynomial
  258. Sun Jun 7 22:55:55 2026 read 15963332 cycles
  259. Sun Jun 7 22:57:09 2026 cycles contain 58456645 unique relations
  260. Sun Jun 7 23:06:53 2026 read 58456645 relations
  261. Sun Jun 7 23:07:06 2026 using 20 quadratic characters above 4294917295
  262. Sun Jun 7 23:07:16 2026 building initial matrix
  263. Sun Jun 7 23:37:07 2026 memory use: 8094.3 MB
  264. Sun Jun 7 23:37:33 2026 read 15963332 cycles
  265. Sun Jun 7 23:37:39 2026 matrix is 15963153 x 15963332 (8075.3 MB) with weight 2444996706 (153.16/col)
  266. Sun Jun 7 23:37:39 2026 sparse part has weight 1925321513 (120.61/col)
  267. Sun Jun 7 23:46:14 2026 filtering completed in 2 passes
  268. Sun Jun 7 23:46:22 2026 matrix is 15962310 x 15962489 (8075.2 MB) with weight 2444953156 (153.17/col)
  269. Sun Jun 7 23:46:22 2026 sparse part has weight 1925306858 (120.61/col)
  270. Sun Jun 7 23:48:56 2026 BLanczosTime: 3185
  271. Sun Jun 7 23:48:56 2026 elapsed time 04:21:55
  272. Sun Jun 7 23:56:19 2026
  273. Sun Jun 7 23:56:19 2026
  274. Sun Jun 7 23:56:19 2026 Msieve v. 1.54 (SVN Unversioned directory)
  275. Sun Jun 7 23:56:19 2026 random seeds: 69288a47 ca51415f
  276. Sun Jun 7 23:56:19 2026 MPI process 0 of 1
  277. Sun Jun 7 23:56:19 2026 Using 64 OpenMP threads
  278. Sun Jun 7 23:56:19 2026 factoring 21150148044810736243598593851030684837345901271180229921122583392322356787949869629567683326641374074824830258021896439120787812810347568239685596222813285786098872922811170554186409 (182 digits)
  279. Sun Jun 7 23:56:20 2026 searching for 15-digit factors
  280. Sun Jun 7 23:56:20 2026 commencing number field sieve (182-digit input)
  281. Sun Jun 7 23:56:20 2026 reversing signs of algebraic polynomial
  282. Sun Jun 7 23:56:20 2026 R0: -203659160065162015471296961126689676
  283. Sun Jun 7 23:56:20 2026 R1: 1038352113993836523156173
  284. Sun Jun 7 23:56:20 2026 A0: -14154090270140634061907012359712311840070745
  285. Sun Jun 7 23:56:20 2026 A1: -2828279814879330124199005365193854573
  286. Sun Jun 7 23:56:20 2026 A2: 302900879107049938180295107081
  287. Sun Jun 7 23:56:20 2026 A3: 7786841948844070569873
  288. Sun Jun 7 23:56:20 2026 A4: -156314448902556
  289. Sun Jun 7 23:56:20 2026 A5: 423360
  290. Sun Jun 7 23:56:20 2026 skew 52418645.24, size 1.138e-17, alpha -7.952, combined = 7.770e-14 rroots = 5
  291. Sun Jun 7 23:56:20 2026
  292. Sun Jun 7 23:56:20 2026 commencing linear algebra
  293. Sun Jun 7 23:56:20 2026 using VBITS=256
  294. Sun Jun 7 23:56:20 2026 skipping matrix build
  295. Sun Jun 7 23:56:20 2026 initialized process (0,0) of 1 x 1 grid
  296. Sun Jun 7 23:56:28 2026 matrix starts at (0, 0)
  297. Sun Jun 7 23:56:30 2026 matrix is 15962310 x 15962489 (8075.2 MB) with weight 2444953156 (153.17/col)
  298. Sun Jun 7 23:56:30 2026 sparse part has weight 1925306858 (120.61/col)
  299. Sun Jun 7 23:56:30 2026 saving the first 240 matrix rows for later
  300. Sun Jun 7 23:56:34 2026 matrix includes 256 packed rows
  301. Sun Jun 7 23:56:39 2026 matrix is 15962070 x 15962489 (7290.7 MB) with weight 1764704317 (110.55/col)
  302. Sun Jun 7 23:56:39 2026 sparse part has weight 1655811107 (103.73/col)
  303. Sun Jun 7 23:56:39 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  304. Sun Jun 7 23:57:17 2026 commencing Lanczos iteration (64 threads)
  305. Sun Jun 7 23:57:17 2026 memory use: 10325.4 MB
  306. Sun Jun 7 23:59:41 2026 linear algebra at 0.2%, ETA 20h32m
  307. Mon Jun 8 00:03:08 2026 checking every 10000 dimensions, checkpointing every 800000 dimensions
  308. Mon Jun 8 19:49:30 2026 lanczos halted after 62540 iterations (dim = 15962069)
  309. Mon Jun 8 19:50:33 2026 recovered 28 nontrivial dependencies
  310. Mon Jun 8 19:50:34 2026 BLanczosTime: 71654
  311. Mon Jun 8 19:50:34 2026
  312. Mon Jun 8 19:50:34 2026 commencing square root phase
  313. Mon Jun 8 19:50:34 2026 reversing signs of algebraic polynomial
  314. Mon Jun 8 19:50:34 2026 handling dependencies 1 to 64
  315. Mon Jun 8 19:50:34 2026 reading relations for dependency 1
  316. Mon Jun 8 19:50:35 2026 read 7979833 cycles
  317. Mon Jun 8 19:50:49 2026 cycles contain 29219768 unique relations
  318. Mon Jun 8 19:56:25 2026 read 29219768 relations
  319. Mon Jun 8 19:58:09 2026 multiplying 29219768 relations
  320. Mon Jun 8 20:01:11 2026 multiply complete, coefficients have about 1722.41 million bits
  321. Mon Jun 8 20:01:15 2026 initial square root is modulo 53239541
  322. Mon Jun 8 20:11:10 2026 GCD is N, no factor found
  323. Mon Jun 8 20:11:10 2026 reading relations for dependency 2
  324. Mon Jun 8 20:11:11 2026 read 7982166 cycles
  325. Mon Jun 8 20:11:25 2026 cycles contain 29219884 unique relations
  326. Mon Jun 8 20:17:01 2026 read 29219884 relations
  327. Mon Jun 8 20:20:27 2026 multiplying 29219884 relations
  328. Mon Jun 8 20:26:03 2026 multiply complete, coefficients have about 1722.42 million bits
  329. Mon Jun 8 20:26:10 2026 initial square root is modulo 53246131
  330. Mon Jun 8 20:43:41 2026 GCD is N, no factor found
  331. Mon Jun 8 20:43:41 2026 reading relations for dependency 3
  332. Mon Jun 8 20:43:43 2026 read 7982766 cycles
  333. Mon Jun 8 20:44:14 2026 cycles contain 29231810 unique relations
  334. Mon Jun 8 20:51:24 2026 read 29231810 relations
  335. Mon Jun 8 20:55:05 2026 multiplying 29231810 relations
  336. Mon Jun 8 20:59:28 2026 multiply complete, coefficients have about 1723.10 million bits
  337. Mon Jun 8 20:59:35 2026 initial square root is modulo 53624371
  338. Mon Jun 8 21:16:53 2026 GCD is N, no factor found
  339. Mon Jun 8 21:16:53 2026 reading relations for dependency 4
  340. Mon Jun 8 21:16:55 2026 read 7981065 cycles
  341. Mon Jun 8 21:17:13 2026 cycles contain 29223878 unique relations
  342. Mon Jun 8 21:24:38 2026 read 29223878 relations
  343. Mon Jun 8 21:27:35 2026 multiplying 29223878 relations
  344. Mon Jun 8 21:32:57 2026 multiply complete, coefficients have about 1722.64 million bits
  345. Mon Jun 8 21:33:04 2026 initial square root is modulo 53371193
  346. Mon Jun 8 21:50:22 2026 GCD is 1, no factor found
  347. Mon Jun 8 21:50:22 2026 reading relations for dependency 5
  348. Mon Jun 8 21:50:25 2026 read 7984848 cycles
  349. Mon Jun 8 21:50:58 2026 cycles contain 29237622 unique relations
  350. Mon Jun 8 21:58:13 2026 read 29237622 relations
  351. Mon Jun 8 22:02:39 2026 multiplying 29237622 relations
  352. Mon Jun 8 22:07:08 2026 multiply complete, coefficients have about 1723.45 million bits
  353. Mon Jun 8 22:07:15 2026 initial square root is modulo 53819783
  354. Mon Jun 8 22:25:00 2026 GCD is N, no factor found
  355. Mon Jun 8 22:25:00 2026 reading relations for dependency 6
  356. Mon Jun 8 22:25:02 2026 read 7979811 cycles
  357. Mon Jun 8 22:25:16 2026 cycles contain 29226632 unique relations
  358. Mon Jun 8 22:32:44 2026 read 29226632 relations
  359. Mon Jun 8 22:35:11 2026 multiplying 29226632 relations
  360. Mon Jun 8 22:38:14 2026 multiply complete, coefficients have about 1722.80 million bits
  361. Mon Jun 8 22:38:19 2026 initial square root is modulo 53454607
  362. Mon Jun 8 23:02:24 2026 sqrtTime: 11510
  363. Mon Jun 8 23:02:24 2026 p72 factor: 415048366068844465979128499871103079197515483356668638925423951108115539
  364. Mon Jun 8 23:02:24 2026 p110 factor: 50958273237250959651679572766377079439459501255919689622147410372832771716075839413347788958920081874487037331
  365. Mon Jun 8 23:02:24 2026 elapsed time 23:06:05
  366.  
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