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Mar 19th, 2025
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  1. Wed Mar 19 00:54:42 2025
  2. Wed Mar 19 00:54:42 2025
  3. Wed Mar 19 00:54:42 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Mar 19 00:54:42 2025 random seeds: 46a9aed4 7f72a1a3
  5. Wed Mar 19 00:54:42 2025 MPI process 0 of 1
  6. Wed Mar 19 00:54:42 2025 Using 64 OpenMP threads
  7. Wed Mar 19 00:54:42 2025 factoring 26531133588265192606650992277894892515850159886772130030244991043950564904069474811514989034245961230003754509904391573978131970718557925203396273581233189472309691 (164 digits)
  8. Wed Mar 19 00:54:43 2025 searching for 15-digit factors
  9. Wed Mar 19 00:54:43 2025 commencing number field sieve (164-digit input)
  10. Wed Mar 19 00:54:43 2025 R0: -52864363683811801176544023175013
  11. Wed Mar 19 00:54:43 2025 R1: 146996506205614157
  12. Wed Mar 19 00:54:43 2025 A0: -841912531683259897740016699663425183637560
  13. Wed Mar 19 00:54:43 2025 A1: 255529990985278138384100340009030288
  14. Wed Mar 19 00:54:43 2025 A2: -5296913456094340781992982168
  15. Wed Mar 19 00:54:43 2025 A3: -298300970267838061847
  16. Wed Mar 19 00:54:43 2025 A4: 2116970064642
  17. Wed Mar 19 00:54:43 2025 A5: 64260
  18. Wed Mar 19 00:54:43 2025 skew 42387494.43, size 6.207e-16, alpha -8.541, combined = 8.450e-13 rroots = 5
  19. Wed Mar 19 00:54:43 2025
  20. Wed Mar 19 00:54:43 2025 commencing relation filtering
  21. Wed Mar 19 00:54:43 2025 setting target matrix density to 130.0
  22. Wed Mar 19 00:54:43 2025 estimated available RAM is 257736.5 MB
  23. Wed Mar 19 00:54:43 2025 commencing duplicate removal, pass 1
  24. Wed Mar 19 00:55:30 2025 error -1 reading relation 19580478
  25. Wed Mar 19 00:56:14 2025 error -1 reading relation 41298699
  26. Wed Mar 19 00:56:19 2025 error -1 reading relation 44193336
  27. Wed Mar 19 00:56:50 2025 error -1 reading relation 60702974
  28. Wed Mar 19 01:01:17 2025 error -1 reading relation 176732261
  29. Wed Mar 19 01:06:09 2025 error -1 reading relation 191024217
  30. Wed Mar 19 01:06:11 2025 error -1 reading relation 192065168
  31. Wed Mar 19 01:06:19 2025 error -1 reading relation 196386173
  32. Wed Mar 19 01:06:31 2025 error -1 reading relation 203031578
  33. Wed Mar 19 01:06:31 2025 error -1 reading relation 203159581
  34. Wed Mar 19 01:06:39 2025 error -1 reading relation 207866019
  35. Wed Mar 19 01:06:45 2025 error -1 reading relation 211044250
  36. Wed Mar 19 01:06:46 2025 error -1 reading relation 211537217
  37. Wed Mar 19 01:06:54 2025 error -1 reading relation 216082781
  38. Wed Mar 19 01:08:22 2025 error -1 reading relation 257986196
  39. Wed Mar 19 01:08:48 2025 error -1 reading relation 274705973
  40. Wed Mar 19 01:08:54 2025 error -1 reading relation 278604093
  41. Wed Mar 19 01:09:17 2025 error -1 reading relation 293001087
  42. Wed Mar 19 01:09:18 2025 error -1 reading relation 293719031
  43. Wed Mar 19 01:09:26 2025 skipped 1 relations with composite factors
  44. Wed Mar 19 01:09:26 2025 skipped 152 malformed relations
  45. Wed Mar 19 01:09:26 2025 found 62194207 hash collisions in 299016040 relations
  46. Wed Mar 19 01:09:50 2025 added 121968 free relations
  47. Wed Mar 19 01:09:50 2025 commencing duplicate removal, pass 2
  48. Wed Mar 19 01:18:43 2025 found 66482071 duplicates and 232655937 unique relations
  49. Wed Mar 19 01:18:43 2025 memory use: 1705.5 MB
  50. Wed Mar 19 01:18:43 2025 reading ideals above 720000
  51. Wed Mar 19 01:18:43 2025 commencing singleton removal, initial pass
  52. Wed Mar 19 01:41:51 2025 memory use: 6024.0 MB
  53. Wed Mar 19 01:41:51 2025 reading all ideals from disk
  54. Wed Mar 19 01:41:55 2025 memory use: 10542.6 MB
  55. Wed Mar 19 01:42:21 2025 keeping 222981368 ideals with weight <= 200, target excess is 1154351
  56. Wed Mar 19 01:43:11 2025 commencing in-memory singleton removal
  57. Wed Mar 19 01:43:14 2025 begin with 232655937 relations and 222981368 unique ideals
  58. Wed Mar 19 01:43:30 2025 reduce to 124949817 relations and 101537627 ideals in 15 passes
  59. Wed Mar 19 01:43:30 2025 max relations containing the same ideal: 140
  60. Wed Mar 19 01:44:26 2025 removing 11765724 relations and 9765724 ideals in 2000000 cliques
  61. Wed Mar 19 01:44:32 2025 commencing in-memory singleton removal
  62. Wed Mar 19 01:44:34 2025 begin with 113184093 relations and 101537627 unique ideals
  63. Wed Mar 19 01:44:39 2025 reduce to 112351310 relations and 90922205 ideals in 9 passes
  64. Wed Mar 19 01:44:39 2025 max relations containing the same ideal: 129
  65. Wed Mar 19 01:45:33 2025 removing 8939071 relations and 6939071 ideals in 2000000 cliques
  66. Wed Mar 19 01:45:40 2025 commencing in-memory singleton removal
  67. Wed Mar 19 01:45:42 2025 begin with 103412239 relations and 90922205 unique ideals
  68. Wed Mar 19 01:45:48 2025 reduce to 102848122 relations and 83408653 ideals in 8 passes
  69. Wed Mar 19 01:45:48 2025 max relations containing the same ideal: 124
  70. Wed Mar 19 01:46:43 2025 removing 8098103 relations and 6098103 ideals in 2000000 cliques
  71. Wed Mar 19 01:46:47 2025 commencing in-memory singleton removal
  72. Wed Mar 19 01:46:48 2025 begin with 94750019 relations and 83408653 unique ideals
  73. Wed Mar 19 01:46:51 2025 reduce to 94244810 relations and 76796126 ideals in 8 passes
  74. Wed Mar 19 01:46:51 2025 max relations containing the same ideal: 115
  75. Wed Mar 19 01:47:28 2025 removing 7674634 relations and 5674634 ideals in 2000000 cliques
  76. Wed Mar 19 01:47:32 2025 commencing in-memory singleton removal
  77. Wed Mar 19 01:47:33 2025 begin with 86570176 relations and 76796126 unique ideals
  78. Wed Mar 19 01:47:36 2025 reduce to 86078431 relations and 70620106 ideals in 7 passes
  79. Wed Mar 19 01:47:36 2025 max relations containing the same ideal: 109
  80. Wed Mar 19 01:48:14 2025 removing 7414884 relations and 5414884 ideals in 2000000 cliques
  81. Wed Mar 19 01:48:19 2025 commencing in-memory singleton removal
  82. Wed Mar 19 01:48:21 2025 begin with 78663547 relations and 70620106 unique ideals
  83. Wed Mar 19 01:48:25 2025 reduce to 78167519 relations and 64698827 ideals in 8 passes
  84. Wed Mar 19 01:48:25 2025 max relations containing the same ideal: 102
  85. Wed Mar 19 01:49:14 2025 removing 7257231 relations and 5257231 ideals in 2000000 cliques
  86. Wed Mar 19 01:49:19 2025 commencing in-memory singleton removal
  87. Wed Mar 19 01:49:20 2025 begin with 70910288 relations and 64698827 unique ideals
  88. Wed Mar 19 01:49:23 2025 reduce to 70392477 relations and 58912184 ideals in 7 passes
  89. Wed Mar 19 01:49:23 2025 max relations containing the same ideal: 99
  90. Wed Mar 19 01:50:08 2025 removing 7170791 relations and 5170791 ideals in 2000000 cliques
  91. Wed Mar 19 01:50:12 2025 commencing in-memory singleton removal
  92. Wed Mar 19 01:50:13 2025 begin with 63221686 relations and 58912184 unique ideals
  93. Wed Mar 19 01:50:15 2025 reduce to 62664391 relations and 53170082 ideals in 8 passes
  94. Wed Mar 19 01:50:15 2025 max relations containing the same ideal: 88
  95. Wed Mar 19 01:50:37 2025 removing 7133976 relations and 5133976 ideals in 2000000 cliques
  96. Wed Mar 19 01:50:39 2025 commencing in-memory singleton removal
  97. Wed Mar 19 01:50:40 2025 begin with 55530415 relations and 53170082 unique ideals
  98. Wed Mar 19 01:50:42 2025 reduce to 54911306 relations and 47399811 ideals in 8 passes
  99. Wed Mar 19 01:50:42 2025 max relations containing the same ideal: 80
  100. Wed Mar 19 01:51:19 2025 removing 7138440 relations and 5138440 ideals in 2000000 cliques
  101. Wed Mar 19 01:51:23 2025 commencing in-memory singleton removal
  102. Wed Mar 19 01:51:23 2025 begin with 47772866 relations and 47399811 unique ideals
  103. Wed Mar 19 01:51:26 2025 reduce to 47059531 relations and 41525807 ideals in 8 passes
  104. Wed Mar 19 01:51:26 2025 max relations containing the same ideal: 73
  105. Wed Mar 19 01:51:58 2025 removing 7207291 relations and 5207291 ideals in 2000000 cliques
  106. Wed Mar 19 01:52:01 2025 commencing in-memory singleton removal
  107. Wed Mar 19 01:52:01 2025 begin with 39852240 relations and 41525807 unique ideals
  108. Wed Mar 19 01:52:04 2025 reduce to 38985939 relations and 35420286 ideals in 11 passes
  109. Wed Mar 19 01:52:04 2025 max relations containing the same ideal: 64
  110. Wed Mar 19 01:52:31 2025 removing 7337156 relations and 5337156 ideals in 2000000 cliques
  111. Wed Mar 19 01:52:34 2025 commencing in-memory singleton removal
  112. Wed Mar 19 01:52:35 2025 begin with 31648783 relations and 35420286 unique ideals
  113. Wed Mar 19 01:52:37 2025 reduce to 30523393 relations and 28907448 ideals in 10 passes
  114. Wed Mar 19 01:52:37 2025 max relations containing the same ideal: 56
  115. Wed Mar 19 01:52:56 2025 removing 1652293 relations and 1375396 ideals in 276897 cliques
  116. Wed Mar 19 01:52:57 2025 commencing in-memory singleton removal
  117. Wed Mar 19 01:52:57 2025 begin with 28871100 relations and 28907448 unique ideals
  118. Wed Mar 19 01:52:58 2025 reduce to 28806988 relations and 27467369 ideals in 8 passes
  119. Wed Mar 19 01:52:58 2025 max relations containing the same ideal: 55
  120. Wed Mar 19 01:53:14 2025 relations with 0 large ideals: 4344
  121. Wed Mar 19 01:53:14 2025 relations with 1 large ideals: 57323
  122. Wed Mar 19 01:53:14 2025 relations with 2 large ideals: 618398
  123. Wed Mar 19 01:53:14 2025 relations with 3 large ideals: 2759081
  124. Wed Mar 19 01:53:14 2025 relations with 4 large ideals: 6390006
  125. Wed Mar 19 01:53:14 2025 relations with 5 large ideals: 8424621
  126. Wed Mar 19 01:53:14 2025 relations with 6 large ideals: 6597005
  127. Wed Mar 19 01:53:14 2025 relations with 7+ large ideals: 3956210
  128. Wed Mar 19 01:53:14 2025 commencing 2-way merge
  129. Wed Mar 19 01:53:29 2025 reduce to 17070642 relation sets and 15731023 unique ideals
  130. Wed Mar 19 01:53:29 2025 commencing full merge
  131. Wed Mar 19 02:00:55 2025 memory use: 1838.0 MB
  132. Wed Mar 19 02:00:57 2025 found 7249302 cycles, need 7189223
  133. Wed Mar 19 02:00:59 2025 weight of 7189223 cycles is about 935028469 (130.06/cycle)
  134. Wed Mar 19 02:00:59 2025 distribution of cycle lengths:
  135. Wed Mar 19 02:00:59 2025 1 relations: 427701
  136. Wed Mar 19 02:00:59 2025 2 relations: 432948
  137. Wed Mar 19 02:00:59 2025 3 relations: 448817
  138. Wed Mar 19 02:00:59 2025 4 relations: 447854
  139. Wed Mar 19 02:00:59 2025 5 relations: 455211
  140. Wed Mar 19 02:00:59 2025 6 relations: 455017
  141. Wed Mar 19 02:00:59 2025 7 relations: 448373
  142. Wed Mar 19 02:00:59 2025 8 relations: 439137
  143. Wed Mar 19 02:00:59 2025 9 relations: 420635
  144. Wed Mar 19 02:00:59 2025 10+ relations: 3213530
  145. Wed Mar 19 02:00:59 2025 heaviest cycle: 28 relations
  146. Wed Mar 19 02:01:01 2025 commencing cycle optimization
  147. Wed Mar 19 02:01:20 2025 start with 68285768 relations
  148. Wed Mar 19 02:04:24 2025 pruned 2889053 relations
  149. Wed Mar 19 02:04:24 2025 memory use: 1855.7 MB
  150. Wed Mar 19 02:04:24 2025 distribution of cycle lengths:
  151. Wed Mar 19 02:04:24 2025 1 relations: 427701
  152. Wed Mar 19 02:04:24 2025 2 relations: 443596
  153. Wed Mar 19 02:04:24 2025 3 relations: 466282
  154. Wed Mar 19 02:04:24 2025 4 relations: 464707
  155. Wed Mar 19 02:04:24 2025 5 relations: 476228
  156. Wed Mar 19 02:04:24 2025 6 relations: 474776
  157. Wed Mar 19 02:04:24 2025 7 relations: 470284
  158. Wed Mar 19 02:04:24 2025 8 relations: 458815
  159. Wed Mar 19 02:04:24 2025 9 relations: 440639
  160. Wed Mar 19 02:04:24 2025 10+ relations: 3066195
  161. Wed Mar 19 02:04:24 2025 heaviest cycle: 28 relations
  162. Wed Mar 19 02:04:38 2025 RelProcTime: 4195
  163. Wed Mar 19 02:04:38 2025
  164. Wed Mar 19 02:04:38 2025 commencing linear algebra
  165. Wed Mar 19 02:04:38 2025 using VBITS=256
  166. Wed Mar 19 02:04:38 2025 initialized process (0,0) of 1 x 1 grid
  167. Wed Mar 19 02:04:39 2025 read 7189223 cycles
  168. Wed Mar 19 02:04:59 2025 cycles contain 27920516 unique relations
  169. Wed Mar 19 02:10:19 2025 read 27920516 relations
  170. Wed Mar 19 02:10:21 2025 using 20 quadratic characters above 4294917295
  171. Wed Mar 19 02:10:23 2025 building initial matrix
  172. Wed Mar 19 02:17:20 2025 memory use: 3831.5 MB
  173. Wed Mar 19 02:17:25 2025 read 7189223 cycles
  174. Wed Mar 19 02:17:26 2025 matrix is 7189043 x 7189223 (3640.3 MB) with weight 1121760706 (156.03/col)
  175. Wed Mar 19 02:17:26 2025 sparse part has weight 868024448 (120.74/col)
  176. Wed Mar 19 02:19:06 2025 filtering completed in 2 passes
  177. Wed Mar 19 02:19:07 2025 matrix is 7188486 x 7188662 (3640.3 MB) with weight 1121728921 (156.04/col)
  178. Wed Mar 19 02:19:07 2025 sparse part has weight 868013915 (120.75/col)
  179. Wed Mar 19 02:20:11 2025 matrix starts at (0, 0)
  180. Wed Mar 19 02:20:13 2025 matrix is 7188486 x 7188662 (3640.3 MB) with weight 1121728921 (156.04/col)
  181. Wed Mar 19 02:20:13 2025 sparse part has weight 868013915 (120.75/col)
  182. Wed Mar 19 02:20:13 2025 saving the first 240 matrix rows for later
  183. Wed Mar 19 02:20:15 2025 matrix includes 256 packed rows
  184. Wed Mar 19 02:20:19 2025 matrix is 7188246 x 7188662 (3247.4 MB) with weight 791256943 (110.07/col)
  185. Wed Mar 19 02:20:19 2025 sparse part has weight 736256028 (102.42/col)
  186. Wed Mar 19 02:20:19 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  187. Wed Mar 19 02:20:37 2025 commencing Lanczos iteration (64 threads)
  188. Wed Mar 19 02:20:37 2025 memory use: 4580.7 MB
  189. Wed Mar 19 02:38:36 2025 linear algebra at 0.4%, ETA 69h54m
  190. Wed Mar 19 02:40:09 2025 checking every 10000 dimensions, checkpointing every 240000 dimensions
  191. Wed Mar 19 06:38:24 2025 lanczos halted after 28165 iterations (dim = 7188244)
  192. Wed Mar 19 06:38:56 2025 recovered 29 nontrivial dependencies
  193. Wed Mar 19 06:38:56 2025 BLanczosTime: 16458
  194. Wed Mar 19 06:38:56 2025
  195. Wed Mar 19 06:38:56 2025 commencing square root phase
  196. Wed Mar 19 06:38:56 2025 handling dependencies 1 to 64
  197. Wed Mar 19 06:38:56 2025 reading relations for dependency 1
  198. Wed Mar 19 06:38:57 2025 read 3593048 cycles
  199. Wed Mar 19 06:39:03 2025 cycles contain 13958934 unique relations
  200. Wed Mar 19 06:43:11 2025 read 13958934 relations
  201. Wed Mar 19 06:43:57 2025 multiplying 13958934 relations
  202. Wed Mar 19 06:45:14 2025 multiply complete, coefficients have about 741.47 million bits
  203. Wed Mar 19 06:45:16 2025 initial square root is modulo 4489027
  204. Wed Mar 19 06:49:14 2025 GCD is N, no factor found
  205. Wed Mar 19 06:49:14 2025 reading relations for dependency 2
  206. Wed Mar 19 06:49:15 2025 read 3595511 cycles
  207. Wed Mar 19 06:49:21 2025 cycles contain 13966342 unique relations
  208. Wed Mar 19 06:53:28 2025 read 13966342 relations
  209. Wed Mar 19 06:54:12 2025 multiplying 13966342 relations
  210. Wed Mar 19 06:55:27 2025 multiply complete, coefficients have about 741.86 million bits
  211. Wed Mar 19 06:55:30 2025 initial square root is modulo 4524733
  212. Wed Mar 19 06:59:26 2025 GCD is N, no factor found
  213. Wed Mar 19 06:59:26 2025 reading relations for dependency 3
  214. Wed Mar 19 06:59:27 2025 read 3596058 cycles
  215. Wed Mar 19 06:59:33 2025 cycles contain 13963558 unique relations
  216. Wed Mar 19 07:03:40 2025 read 13963558 relations
  217. Wed Mar 19 07:04:27 2025 multiplying 13963558 relations
  218. Wed Mar 19 07:05:41 2025 multiply complete, coefficients have about 741.72 million bits
  219. Wed Mar 19 07:05:43 2025 initial square root is modulo 4511893
  220. Wed Mar 19 07:09:37 2025 GCD is 1, no factor found
  221. Wed Mar 19 07:09:37 2025 reading relations for dependency 4
  222. Wed Mar 19 07:09:38 2025 read 3593831 cycles
  223. Wed Mar 19 07:09:44 2025 cycles contain 13963970 unique relations
  224. Wed Mar 19 07:13:52 2025 read 13963970 relations
  225. Wed Mar 19 07:14:36 2025 multiplying 13963970 relations
  226. Wed Mar 19 07:15:51 2025 multiply complete, coefficients have about 741.75 million bits
  227. Wed Mar 19 07:15:53 2025 initial square root is modulo 4514351
  228. Wed Mar 19 07:19:48 2025 GCD is 1, no factor found
  229. Wed Mar 19 07:19:48 2025 reading relations for dependency 5
  230. Wed Mar 19 07:19:49 2025 read 3593352 cycles
  231. Wed Mar 19 07:19:55 2025 cycles contain 13960906 unique relations
  232. Wed Mar 19 07:24:02 2025 read 13960906 relations
  233. Wed Mar 19 07:24:48 2025 multiplying 13960906 relations
  234. Wed Mar 19 07:26:02 2025 multiply complete, coefficients have about 741.58 million bits
  235. Wed Mar 19 07:26:05 2025 initial square root is modulo 4498463
  236. Wed Mar 19 07:29:59 2025 GCD is N, no factor found
  237. Wed Mar 19 07:29:59 2025 reading relations for dependency 6
  238. Wed Mar 19 07:30:00 2025 read 3592742 cycles
  239. Wed Mar 19 07:30:06 2025 cycles contain 13959968 unique relations
  240. Wed Mar 19 07:34:13 2025 read 13959968 relations
  241. Wed Mar 19 07:34:58 2025 multiplying 13959968 relations
  242. Wed Mar 19 07:36:12 2025 multiply complete, coefficients have about 741.54 million bits
  243. Wed Mar 19 07:36:14 2025 initial square root is modulo 4494719
  244. Wed Mar 19 07:40:11 2025 GCD is 1, no factor found
  245. Wed Mar 19 07:40:11 2025 reading relations for dependency 7
  246. Wed Mar 19 07:40:12 2025 read 3594653 cycles
  247. Wed Mar 19 07:40:18 2025 cycles contain 13962972 unique relations
  248. Wed Mar 19 07:44:25 2025 read 13962972 relations
  249. Wed Mar 19 07:45:12 2025 multiplying 13962972 relations
  250. Wed Mar 19 07:46:26 2025 multiply complete, coefficients have about 741.69 million bits
  251. Wed Mar 19 07:46:28 2025 initial square root is modulo 4509017
  252. Wed Mar 19 07:50:22 2025 GCD is 1, no factor found
  253. Wed Mar 19 07:50:22 2025 reading relations for dependency 8
  254. Wed Mar 19 07:50:23 2025 read 3592441 cycles
  255. Wed Mar 19 07:50:29 2025 cycles contain 13955058 unique relations
  256. Wed Mar 19 07:54:36 2025 read 13955058 relations
  257. Wed Mar 19 07:55:21 2025 multiplying 13955058 relations
  258. Wed Mar 19 07:56:37 2025 multiply complete, coefficients have about 741.26 million bits
  259. Wed Mar 19 07:56:40 2025 initial square root is modulo 4469357
  260. Wed Mar 19 08:03:46 2025 GCD is 1, no factor found
  261. Wed Mar 19 08:03:46 2025 reading relations for dependency 9
  262. Wed Mar 19 08:03:47 2025 read 3595031 cycles
  263. Wed Mar 19 08:04:01 2025 cycles contain 13966038 unique relations
  264. Wed Mar 19 08:09:12 2025 read 13966038 relations
  265. Wed Mar 19 08:10:38 2025 multiplying 13966038 relations
  266. Wed Mar 19 08:12:53 2025 multiply complete, coefficients have about 741.85 million bits
  267. Wed Mar 19 08:12:56 2025 initial square root is modulo 4524097
  268. Wed Mar 19 08:19:47 2025 sqrtTime: 6051
  269. Wed Mar 19 08:19:47 2025 p59 factor: 17179094519406041904876209764109888728231553408477690073301
  270. Wed Mar 19 08:19:47 2025 p106 factor: 1544384866053027135904591216568608282238753943757011232001116132763157227409233998211667102560952791949391
  271. Wed Mar 19 08:19:47 2025 elapsed time 07:25:05
  272.  
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