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Jul 18th, 2025
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  1. Fri Jul 18 12:28:50 2025
  2. Fri Jul 18 12:28:50 2025
  3. Fri Jul 18 12:28:50 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 18 12:28:50 2025 random seeds: 64946eb5 71162cd4
  5. Fri Jul 18 12:28:50 2025 MPI process 0 of 1
  6. Fri Jul 18 12:28:50 2025 Using 32 OpenMP threads
  7. Fri Jul 18 12:28:50 2025 factoring 30489954438991560430535261825891858669775429114388172743194199788585774227899497239223290103768020045381067695759729881235679396891595045847925479440771320811092059514215347 (173 digits)
  8. Fri Jul 18 12:28:51 2025 searching for 15-digit factors
  9. Fri Jul 18 12:28:51 2025 commencing number field sieve (173-digit input)
  10. Fri Jul 18 12:28:51 2025 reversing signs of algebraic polynomial
  11. Fri Jul 18 12:28:51 2025 R0: -2743558757280623548367445446525947
  12. Fri Jul 18 12:28:51 2025 R1: 5324139164396248521611
  13. Fri Jul 18 12:28:51 2025 A0: 2003912802901757658954441473274848496432
  14. Fri Jul 18 12:28:51 2025 A1: 607906283210029649288558358640054
  15. Fri Jul 18 12:28:51 2025 A2: -841785332795861590037574477
  16. Fri Jul 18 12:28:51 2025 A3: -3980993294797261989
  17. Fri Jul 18 12:28:51 2025 A4: 22430795805965
  18. Fri Jul 18 12:28:51 2025 A5: 980700
  19. Fri Jul 18 12:28:51 2025 skew 6217789.36, size 7.853e-17, alpha -5.558, combined = 2.540e-13 rroots = 5
  20. Fri Jul 18 12:28:51 2025
  21. Fri Jul 18 12:28:51 2025 commencing relation filtering
  22. Fri Jul 18 12:28:51 2025 setting target matrix density to 130.0
  23. Fri Jul 18 12:28:51 2025 reversing signs of algebraic polynomial
  24. Fri Jul 18 12:28:51 2025 estimated available RAM is 257736.5 MB
  25. Fri Jul 18 12:28:51 2025 commencing duplicate removal, pass 1
  26. Fri Jul 18 12:30:47 2025 error -1 reading relation 54258752
  27. Fri Jul 18 12:30:53 2025 error -1 reading relation 56909600
  28. Fri Jul 18 12:31:12 2025 error -1 reading relation 65618736
  29. Fri Jul 18 12:32:10 2025 error -1 reading relation 94004789
  30. Fri Jul 18 12:33:43 2025 error -1 reading relation 136396614
  31. Fri Jul 18 12:34:49 2025 error -1 reading relation 167151968
  32. Fri Jul 18 12:35:31 2025 error -1 reading relation 186880391
  33. Fri Jul 18 12:35:32 2025 error -1 reading relation 187277407
  34. Fri Jul 18 12:36:04 2025 error -1 reading relation 201260402
  35. Fri Jul 18 12:36:29 2025 error -1 reading relation 212455422
  36. Fri Jul 18 12:36:34 2025 error -1 reading relation 214421506
  37. Fri Jul 18 12:36:39 2025 error -1 reading relation 216840618
  38. Fri Jul 18 12:36:46 2025 error -1 reading relation 219725782
  39. Fri Jul 18 12:36:48 2025 error -1 reading relation 220600657
  40. Fri Jul 18 12:36:50 2025 error -1 reading relation 221082360
  41. Fri Jul 18 12:36:55 2025 error -1 reading relation 223350711
  42. Fri Jul 18 12:37:00 2025 error -1 reading relation 225548308
  43. Fri Jul 18 12:37:03 2025 error -1 reading relation 226799706
  44. Fri Jul 18 12:37:06 2025 error -1 reading relation 228256882
  45. Fri Jul 18 12:37:24 2025 error -1 reading relation 236498992
  46. Fri Jul 18 12:37:35 2025 error -1 reading relation 241590263
  47. Fri Jul 18 12:37:45 2025 error -1 reading relation 246012410
  48. Fri Jul 18 12:38:12 2025 skipped 1 relations with composite factors
  49. Fri Jul 18 12:38:12 2025 skipped 194 malformed relations
  50. Fri Jul 18 12:38:12 2025 found 50502829 hash collisions in 258131521 relations
  51. Fri Jul 18 12:38:41 2025 added 121689 free relations
  52. Fri Jul 18 12:38:41 2025 commencing duplicate removal, pass 2
  53. Fri Jul 18 12:44:37 2025 found 49747419 duplicates and 208505791 unique relations
  54. Fri Jul 18 12:44:37 2025 memory use: 1449.5 MB
  55. Fri Jul 18 12:44:37 2025 reading ideals above 720000
  56. Fri Jul 18 12:44:38 2025 commencing singleton removal, initial pass
  57. Fri Jul 18 13:01:48 2025 memory use: 5512.0 MB
  58. Fri Jul 18 13:01:48 2025 reading all ideals from disk
  59. Fri Jul 18 13:01:52 2025 memory use: 9944.9 MB
  60. Fri Jul 18 13:02:18 2025 keeping 180598609 ideals with weight <= 200, target excess is 1069659
  61. Fri Jul 18 13:02:52 2025 commencing in-memory singleton removal
  62. Fri Jul 18 13:02:57 2025 begin with 208505791 relations and 180598609 unique ideals
  63. Fri Jul 18 13:03:16 2025 reduce to 150001617 relations and 117222949 ideals in 13 passes
  64. Fri Jul 18 13:03:16 2025 max relations containing the same ideal: 168
  65. Fri Jul 18 13:04:24 2025 removing 10030082 relations and 8030082 ideals in 2000000 cliques
  66. Fri Jul 18 13:04:30 2025 commencing in-memory singleton removal
  67. Fri Jul 18 13:04:35 2025 begin with 139971535 relations and 117222949 unique ideals
  68. Fri Jul 18 13:04:45 2025 reduce to 139426900 relations and 108638742 ideals in 8 passes
  69. Fri Jul 18 13:04:45 2025 max relations containing the same ideal: 163
  70. Fri Jul 18 13:05:48 2025 removing 7736353 relations and 5736353 ideals in 2000000 cliques
  71. Fri Jul 18 13:05:54 2025 commencing in-memory singleton removal
  72. Fri Jul 18 13:05:58 2025 begin with 131690547 relations and 108638742 unique ideals
  73. Fri Jul 18 13:06:06 2025 reduce to 131322370 relations and 102528664 ideals in 7 passes
  74. Fri Jul 18 13:06:06 2025 max relations containing the same ideal: 155
  75. Fri Jul 18 13:07:02 2025 removing 7065804 relations and 5065804 ideals in 2000000 cliques
  76. Fri Jul 18 13:07:08 2025 commencing in-memory singleton removal
  77. Fri Jul 18 13:07:11 2025 begin with 124256566 relations and 102528664 unique ideals
  78. Fri Jul 18 13:07:18 2025 reduce to 123933351 relations and 97134830 ideals in 7 passes
  79. Fri Jul 18 13:07:18 2025 max relations containing the same ideal: 151
  80. Fri Jul 18 13:08:19 2025 removing 6729054 relations and 4729054 ideals in 2000000 cliques
  81. Fri Jul 18 13:08:23 2025 commencing in-memory singleton removal
  82. Fri Jul 18 13:08:26 2025 begin with 117204297 relations and 97134830 unique ideals
  83. Fri Jul 18 13:08:32 2025 reduce to 116901046 relations and 92097826 ideals in 6 passes
  84. Fri Jul 18 13:08:32 2025 max relations containing the same ideal: 147
  85. Fri Jul 18 13:09:26 2025 removing 6527594 relations and 4527594 ideals in 2000000 cliques
  86. Fri Jul 18 13:09:30 2025 commencing in-memory singleton removal
  87. Fri Jul 18 13:09:32 2025 begin with 110373452 relations and 92097826 unique ideals
  88. Fri Jul 18 13:09:39 2025 reduce to 110075909 relations and 87268070 ideals in 7 passes
  89. Fri Jul 18 13:09:39 2025 max relations containing the same ideal: 143
  90. Fri Jul 18 13:10:31 2025 removing 6391595 relations and 4391595 ideals in 2000000 cliques
  91. Fri Jul 18 13:10:36 2025 commencing in-memory singleton removal
  92. Fri Jul 18 13:10:38 2025 begin with 103684314 relations and 87268070 unique ideals
  93. Fri Jul 18 13:10:44 2025 reduce to 103387413 relations and 82574695 ideals in 6 passes
  94. Fri Jul 18 13:10:44 2025 max relations containing the same ideal: 138
  95. Fri Jul 18 13:11:25 2025 removing 6306943 relations and 4306943 ideals in 2000000 cliques
  96. Fri Jul 18 13:11:29 2025 commencing in-memory singleton removal
  97. Fri Jul 18 13:11:30 2025 begin with 97080470 relations and 82574695 unique ideals
  98. Fri Jul 18 13:11:35 2025 reduce to 96780764 relations and 77962844 ideals in 6 passes
  99. Fri Jul 18 13:11:35 2025 max relations containing the same ideal: 131
  100. Fri Jul 18 13:12:20 2025 removing 6252222 relations and 4252222 ideals in 2000000 cliques
  101. Fri Jul 18 13:12:24 2025 commencing in-memory singleton removal
  102. Fri Jul 18 13:12:26 2025 begin with 90528542 relations and 77962844 unique ideals
  103. Fri Jul 18 13:12:31 2025 reduce to 90216391 relations and 73392644 ideals in 7 passes
  104. Fri Jul 18 13:12:31 2025 max relations containing the same ideal: 123
  105. Fri Jul 18 13:13:34 2025 removing 6226935 relations and 4226935 ideals in 2000000 cliques
  106. Fri Jul 18 13:13:38 2025 commencing in-memory singleton removal
  107. Fri Jul 18 13:13:40 2025 begin with 83989456 relations and 73392644 unique ideals
  108. Fri Jul 18 13:13:45 2025 reduce to 83659329 relations and 68829016 ideals in 7 passes
  109. Fri Jul 18 13:13:45 2025 max relations containing the same ideal: 116
  110. Fri Jul 18 13:14:27 2025 removing 6224771 relations and 4224771 ideals in 2000000 cliques
  111. Fri Jul 18 13:14:31 2025 commencing in-memory singleton removal
  112. Fri Jul 18 13:14:33 2025 begin with 77434558 relations and 68829016 unique ideals
  113. Fri Jul 18 13:14:38 2025 reduce to 77081447 relations and 64243670 ideals in 8 passes
  114. Fri Jul 18 13:14:38 2025 max relations containing the same ideal: 112
  115. Fri Jul 18 13:15:23 2025 removing 6244888 relations and 4244888 ideals in 2000000 cliques
  116. Fri Jul 18 13:15:27 2025 commencing in-memory singleton removal
  117. Fri Jul 18 13:15:28 2025 begin with 70836559 relations and 64243670 unique ideals
  118. Fri Jul 18 13:15:32 2025 reduce to 70450347 relations and 59603887 ideals in 6 passes
  119. Fri Jul 18 13:15:32 2025 max relations containing the same ideal: 105
  120. Fri Jul 18 13:16:15 2025 removing 6289187 relations and 4289187 ideals in 2000000 cliques
  121. Fri Jul 18 13:16:19 2025 commencing in-memory singleton removal
  122. Fri Jul 18 13:16:20 2025 begin with 64161160 relations and 59603887 unique ideals
  123. Fri Jul 18 13:16:24 2025 reduce to 63731657 relations and 54874586 ideals in 8 passes
  124. Fri Jul 18 13:16:24 2025 max relations containing the same ideal: 100
  125. Fri Jul 18 13:17:00 2025 removing 6363274 relations and 4363274 ideals in 2000000 cliques
  126. Fri Jul 18 13:17:04 2025 commencing in-memory singleton removal
  127. Fri Jul 18 13:17:05 2025 begin with 57368383 relations and 54874586 unique ideals
  128. Fri Jul 18 13:17:08 2025 reduce to 56877488 relations and 50007179 ideals in 7 passes
  129. Fri Jul 18 13:17:08 2025 max relations containing the same ideal: 94
  130. Fri Jul 18 13:17:40 2025 removing 6474207 relations and 4474207 ideals in 2000000 cliques
  131. Fri Jul 18 13:17:43 2025 commencing in-memory singleton removal
  132. Fri Jul 18 13:17:44 2025 begin with 50403281 relations and 50007179 unique ideals
  133. Fri Jul 18 13:17:47 2025 reduce to 49823692 relations and 44936221 ideals in 8 passes
  134. Fri Jul 18 13:17:47 2025 max relations containing the same ideal: 87
  135. Fri Jul 18 13:18:15 2025 removing 6636632 relations and 4636632 ideals in 2000000 cliques
  136. Fri Jul 18 13:18:18 2025 commencing in-memory singleton removal
  137. Fri Jul 18 13:18:19 2025 begin with 43187060 relations and 44936221 unique ideals
  138. Fri Jul 18 13:18:22 2025 reduce to 42472449 relations and 39560630 ideals in 10 passes
  139. Fri Jul 18 13:18:22 2025 max relations containing the same ideal: 76
  140. Fri Jul 18 13:18:49 2025 removing 5949520 relations and 4278506 ideals in 1671014 cliques
  141. Fri Jul 18 13:18:52 2025 commencing in-memory singleton removal
  142. Fri Jul 18 13:18:52 2025 begin with 36522929 relations and 39560630 unique ideals
  143. Fri Jul 18 13:18:55 2025 reduce to 35822335 relations and 34557795 ideals in 9 passes
  144. Fri Jul 18 13:18:55 2025 max relations containing the same ideal: 68
  145. Fri Jul 18 13:19:17 2025 removing 185928 relations and 162193 ideals in 23735 cliques
  146. Fri Jul 18 13:19:18 2025 commencing in-memory singleton removal
  147. Fri Jul 18 13:19:19 2025 begin with 35636407 relations and 34557795 unique ideals
  148. Fri Jul 18 13:19:20 2025 reduce to 35635755 relations and 34394950 ideals in 5 passes
  149. Fri Jul 18 13:19:20 2025 max relations containing the same ideal: 67
  150. Fri Jul 18 13:19:25 2025 relations with 0 large ideals: 3495
  151. Fri Jul 18 13:19:25 2025 relations with 1 large ideals: 21370
  152. Fri Jul 18 13:19:25 2025 relations with 2 large ideals: 286435
  153. Fri Jul 18 13:19:25 2025 relations with 3 large ideals: 1635693
  154. Fri Jul 18 13:19:25 2025 relations with 4 large ideals: 4968159
  155. Fri Jul 18 13:19:25 2025 relations with 5 large ideals: 8871398
  156. Fri Jul 18 13:19:25 2025 relations with 6 large ideals: 9750677
  157. Fri Jul 18 13:19:25 2025 relations with 7+ large ideals: 10098528
  158. Fri Jul 18 13:19:25 2025 commencing 2-way merge
  159. Fri Jul 18 13:19:56 2025 reduce to 22470145 relation sets and 21229340 unique ideals
  160. Fri Jul 18 13:19:56 2025 commencing full merge
  161. Fri Jul 18 13:31:26 2025 memory use: 2566.2 MB
  162. Fri Jul 18 13:31:29 2025 found 9588203 cycles, need 9541540
  163. Fri Jul 18 13:31:33 2025 weight of 9541540 cycles is about 1241153168 (130.08/cycle)
  164. Fri Jul 18 13:31:33 2025 distribution of cycle lengths:
  165. Fri Jul 18 13:31:33 2025 1 relations: 581625
  166. Fri Jul 18 13:31:33 2025 2 relations: 572667
  167. Fri Jul 18 13:31:33 2025 3 relations: 608129
  168. Fri Jul 18 13:31:33 2025 4 relations: 618574
  169. Fri Jul 18 13:31:33 2025 5 relations: 636065
  170. Fri Jul 18 13:31:33 2025 6 relations: 640599
  171. Fri Jul 18 13:31:33 2025 7 relations: 638013
  172. Fri Jul 18 13:31:33 2025 8 relations: 617991
  173. Fri Jul 18 13:31:33 2025 9 relations: 585814
  174. Fri Jul 18 13:31:33 2025 10+ relations: 4042063
  175. Fri Jul 18 13:31:33 2025 heaviest cycle: 28 relations
  176. Fri Jul 18 13:31:36 2025 commencing cycle optimization
  177. Fri Jul 18 13:32:00 2025 start with 87487742 relations
  178. Fri Jul 18 13:37:03 2025 pruned 4197099 relations
  179. Fri Jul 18 13:37:03 2025 memory use: 2340.3 MB
  180. Fri Jul 18 13:37:03 2025 distribution of cycle lengths:
  181. Fri Jul 18 13:37:03 2025 1 relations: 581625
  182. Fri Jul 18 13:37:03 2025 2 relations: 588863
  183. Fri Jul 18 13:37:03 2025 3 relations: 634529
  184. Fri Jul 18 13:37:03 2025 4 relations: 645057
  185. Fri Jul 18 13:37:03 2025 5 relations: 669182
  186. Fri Jul 18 13:37:03 2025 6 relations: 674084
  187. Fri Jul 18 13:37:03 2025 7 relations: 674052
  188. Fri Jul 18 13:37:03 2025 8 relations: 651367
  189. Fri Jul 18 13:37:03 2025 9 relations: 617063
  190. Fri Jul 18 13:37:03 2025 10+ relations: 3805718
  191. Fri Jul 18 13:37:03 2025 heaviest cycle: 28 relations
  192. Fri Jul 18 13:37:27 2025 RelProcTime: 4116
  193. Fri Jul 18 13:37:27 2025
  194. Fri Jul 18 13:37:27 2025 commencing linear algebra
  195. Fri Jul 18 13:37:27 2025 using VBITS=256
  196. Fri Jul 18 13:37:27 2025 stopping after matrix build
  197. Fri Jul 18 13:37:27 2025 initialized process (0,0) of 1 x 1 grid
  198. Fri Jul 18 13:37:27 2025 reversing signs of algebraic polynomial
  199. Fri Jul 18 13:37:29 2025 read 9541540 cycles
  200. Fri Jul 18 13:37:55 2025 cycles contain 34876410 unique relations
  201. Fri Jul 18 13:42:04 2025 read 34876410 relations
  202. Fri Jul 18 13:42:09 2025 using 20 quadratic characters above 4294917295
  203. Fri Jul 18 13:42:15 2025 building initial matrix
  204. Fri Jul 18 13:52:37 2025 memory use: 4736.7 MB
  205. Fri Jul 18 13:52:48 2025 read 9541540 cycles
  206. Fri Jul 18 13:52:50 2025 matrix is 9541363 x 9541540 (4760.3 MB) with weight 1442272946 (151.16/col)
  207. Fri Jul 18 13:52:50 2025 sparse part has weight 1142925323 (119.78/col)
  208. Fri Jul 18 13:56:31 2025 filtering completed in 2 passes
  209. Fri Jul 18 13:56:34 2025 matrix is 9540946 x 9541123 (4760.3 MB) with weight 1442252622 (151.16/col)
  210. Fri Jul 18 13:56:34 2025 sparse part has weight 1142918931 (119.79/col)
  211. Fri Jul 18 13:57:45 2025 BLanczosTime: 1218
  212. Fri Jul 18 13:57:45 2025 elapsed time 01:28:55
  213. Fri Jul 18 13:58:07 2025
  214. Fri Jul 18 13:58:07 2025
  215. Fri Jul 18 13:58:07 2025 Msieve v. 1.54 (SVN Unversioned directory)
  216. Fri Jul 18 13:58:07 2025 random seeds: b3c60324 e59b10cc
  217. Fri Jul 18 13:58:07 2025 MPI process 0 of 1
  218. Fri Jul 18 13:58:07 2025 Using 64 OpenMP threads
  219. Fri Jul 18 13:58:07 2025 factoring 30489954438991560430535261825891858669775429114388172743194199788585774227899497239223290103768020045381067695759729881235679396891595045847925479440771320811092059514215347 (173 digits)
  220. Fri Jul 18 13:58:08 2025 searching for 15-digit factors
  221. Fri Jul 18 13:58:08 2025 commencing number field sieve (173-digit input)
  222. Fri Jul 18 13:58:08 2025 reversing signs of algebraic polynomial
  223. Fri Jul 18 13:58:08 2025 R0: -2743558757280623548367445446525947
  224. Fri Jul 18 13:58:08 2025 R1: 5324139164396248521611
  225. Fri Jul 18 13:58:08 2025 A0: 2003912802901757658954441473274848496432
  226. Fri Jul 18 13:58:08 2025 A1: 607906283210029649288558358640054
  227. Fri Jul 18 13:58:08 2025 A2: -841785332795861590037574477
  228. Fri Jul 18 13:58:08 2025 A3: -3980993294797261989
  229. Fri Jul 18 13:58:08 2025 A4: 22430795805965
  230. Fri Jul 18 13:58:08 2025 A5: 980700
  231. Fri Jul 18 13:58:08 2025 skew 6217789.36, size 7.853e-17, alpha -5.558, combined = 2.540e-13 rroots = 5
  232. Fri Jul 18 13:58:08 2025
  233. Fri Jul 18 13:58:08 2025 commencing linear algebra
  234. Fri Jul 18 13:58:08 2025 using VBITS=256
  235. Fri Jul 18 13:58:08 2025 skipping matrix build
  236. Fri Jul 18 13:58:08 2025 initialized process (0,0) of 1 x 1 grid
  237. Fri Jul 18 13:58:14 2025 matrix starts at (0, 0)
  238. Fri Jul 18 13:58:15 2025 matrix is 9540946 x 9541123 (4760.3 MB) with weight 1442252622 (151.16/col)
  239. Fri Jul 18 13:58:15 2025 sparse part has weight 1142918931 (119.79/col)
  240. Fri Jul 18 13:58:15 2025 saving the first 240 matrix rows for later
  241. Fri Jul 18 13:58:17 2025 matrix includes 256 packed rows
  242. Fri Jul 18 13:58:20 2025 matrix is 9540706 x 9541123 (4348.3 MB) with weight 1048682176 (109.91/col)
  243. Fri Jul 18 13:58:20 2025 sparse part has weight 987224877 (103.47/col)
  244. Fri Jul 18 13:58:20 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  245. Fri Jul 18 13:58:41 2025 commencing Lanczos iteration (64 threads)
  246. Fri Jul 18 13:58:41 2025 memory use: 6145.0 MB
  247. Fri Jul 18 14:00:04 2025 linear algebra at 0.3%, ETA 6h58m
  248. Fri Jul 18 14:02:05 2025 checking every 20000 dimensions, checkpointing every 1380000 dimensions
  249. Fri Jul 18 20:55:59 2025 lanczos halted after 37381 iterations (dim = 9540706)
  250. Fri Jul 18 20:56:29 2025 recovered 31 nontrivial dependencies
  251. Fri Jul 18 20:56:30 2025 BLanczosTime: 25102
  252. Fri Jul 18 20:56:30 2025
  253. Fri Jul 18 20:56:30 2025 commencing square root phase
  254. Fri Jul 18 20:56:30 2025 reversing signs of algebraic polynomial
  255. Fri Jul 18 20:56:30 2025 handling dependencies 1 to 64
  256. Fri Jul 18 20:56:30 2025 reading relations for dependency 1
  257. Fri Jul 18 20:56:31 2025 read 4770066 cycles
  258. Fri Jul 18 20:56:38 2025 cycles contain 17437092 unique relations
  259. Fri Jul 18 20:59:54 2025 read 17437092 relations
  260. Fri Jul 18 21:00:53 2025 multiplying 17437092 relations
  261. Fri Jul 18 21:02:30 2025 multiply complete, coefficients have about 1003.84 million bits
  262. Fri Jul 18 21:02:33 2025 initial square root is modulo 1013810891
  263. Fri Jul 18 21:07:43 2025 sqrtTime: 673
  264. Fri Jul 18 21:07:43 2025 p63 factor: 718320212385747998579995641824572736140888705652443756406427431
  265. Fri Jul 18 21:07:43 2025 p110 factor: 42446187526487182494652754429925196183274393314576495905644890822669110951856502739189607113610656181296588437
  266. Fri Jul 18 21:07:43 2025 elapsed time 07:09:36
  267.  
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