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May 3rd, 2025
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  1. Sat May 3 00:34:56 2025
  2. Sat May 3 00:34:56 2025
  3. Sat May 3 00:34:56 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat May 3 00:34:56 2025 random seeds: 87c83f69 9d5216a8
  5. Sat May 3 00:34:56 2025 MPI process 0 of 1
  6. Sat May 3 00:34:56 2025 Using 32 OpenMP threads
  7. Sat May 3 00:34:56 2025 factoring 58347269327511095292168483771466744701229439554211230343284879977282975421060618211803428513349693637960348563074731539859967297119726024050412801791179608336085797593 (167 digits)
  8. Sat May 3 00:34:56 2025 searching for 15-digit factors
  9. Sat May 3 00:34:57 2025 commencing number field sieve (167-digit input)
  10. Sat May 3 00:34:57 2025 R0: -159364490471098664857194655688603
  11. Sat May 3 00:34:57 2025 R1: 21715733084263285749794929
  12. Sat May 3 00:34:57 2025 A0: -886507558649106139685403682852234734
  13. Sat May 3 00:34:57 2025 A1: 1554951227293480130972779969606
  14. Sat May 3 00:34:57 2025 A2: -2333686875526243984702891
  15. Sat May 3 00:34:57 2025 A3: -22785048857142228
  16. Sat May 3 00:34:57 2025 A4: 2673474458892
  17. Sat May 3 00:34:57 2025 A5: 209160
  18. Sat May 3 00:34:57 2025 skew 1590756.74, size 4.009e-16, alpha -4.412, combined = 6.895e-13 rroots = 3
  19. Sat May 3 00:34:57 2025
  20. Sat May 3 00:34:57 2025 commencing relation filtering
  21. Sat May 3 00:34:57 2025 setting target matrix density to 130.0
  22. Sat May 3 00:34:57 2025 estimated available RAM is 257736.5 MB
  23. Sat May 3 00:34:57 2025 commencing duplicate removal, pass 1
  24. Sat May 3 00:36:10 2025 error -1 reading relation 30010871
  25. Sat May 3 00:38:32 2025 error -1 reading relation 88371826
  26. Sat May 3 00:38:42 2025 error -1 reading relation 92157615
  27. Sat May 3 00:38:52 2025 error -1 reading relation 96476958
  28. Sat May 3 00:39:49 2025 error -1 reading relation 119010973
  29. Sat May 3 00:40:44 2025 error -1 reading relation 142747137
  30. Sat May 3 00:41:39 2025 error -1 reading relation 164299127
  31. Sat May 3 00:41:59 2025 error -1 reading relation 172604986
  32. Sat May 3 00:43:03 2025 error -1 reading relation 199108455
  33. Sat May 3 00:43:04 2025 error -1 reading relation 199232613
  34. Sat May 3 00:43:12 2025 error -1 reading relation 202668153
  35. Sat May 3 00:43:14 2025 error -1 reading relation 203398711
  36. Sat May 3 00:43:15 2025 error -1 reading relation 203744167
  37. Sat May 3 00:43:21 2025 error -1 reading relation 206304279
  38. Sat May 3 00:43:35 2025 error -1 reading relation 212212006
  39. Sat May 3 00:44:06 2025 error -1 reading relation 225532752
  40. Sat May 3 00:44:12 2025 error -1 reading relation 227836241
  41. Sat May 3 00:44:19 2025 error -1 reading relation 231247103
  42. Sat May 3 00:44:21 2025 error -1 reading relation 231966229
  43. Sat May 3 00:45:33 2025 error -1 reading relation 261767248
  44. Sat May 3 00:46:00 2025 error -1 reading relation 273477880
  45. Sat May 3 00:46:06 2025 error -1 reading relation 276286512
  46. Sat May 3 00:46:25 2025 error -1 reading relation 284226511
  47. Sat May 3 00:46:42 2025 error -1 reading relation 291724502
  48. Sat May 3 00:46:43 2025 error -1 reading relation 292086013
  49. Sat May 3 00:46:53 2025 skipped 193 malformed relations
  50. Sat May 3 00:46:53 2025 found 52337227 hash collisions in 296352716 relations
  51. Sat May 3 00:47:19 2025 added 122163 free relations
  52. Sat May 3 00:47:19 2025 commencing duplicate removal, pass 2
  53. Sat May 3 00:53:52 2025 found 53269935 duplicates and 243204944 unique relations
  54. Sat May 3 00:53:52 2025 memory use: 1705.5 MB
  55. Sat May 3 00:53:52 2025 reading ideals above 720000
  56. Sat May 3 00:53:52 2025 commencing singleton removal, initial pass
  57. Sat May 3 01:14:56 2025 memory use: 6024.0 MB
  58. Sat May 3 01:14:56 2025 reading all ideals from disk
  59. Sat May 3 01:15:01 2025 memory use: 11204.6 MB
  60. Sat May 3 01:15:34 2025 keeping 229431023 ideals with weight <= 200, target excess is 1193805
  61. Sat May 3 01:16:16 2025 commencing in-memory singleton removal
  62. Sat May 3 01:16:22 2025 begin with 243204944 relations and 229431023 unique ideals
  63. Sat May 3 01:16:42 2025 reduce to 137597543 relations and 111283117 ideals in 16 passes
  64. Sat May 3 01:16:42 2025 max relations containing the same ideal: 143
  65. Sat May 3 01:18:02 2025 removing 11670224 relations and 9670224 ideals in 2000000 cliques
  66. Sat May 3 01:18:09 2025 commencing in-memory singleton removal
  67. Sat May 3 01:18:12 2025 begin with 125927319 relations and 111283117 unique ideals
  68. Sat May 3 01:18:20 2025 reduce to 125182270 relations and 100853956 ideals in 8 passes
  69. Sat May 3 01:18:20 2025 max relations containing the same ideal: 137
  70. Sat May 3 01:19:36 2025 removing 8894078 relations and 6894078 ideals in 2000000 cliques
  71. Sat May 3 01:19:42 2025 commencing in-memory singleton removal
  72. Sat May 3 01:19:45 2025 begin with 116288192 relations and 100853956 unique ideals
  73. Sat May 3 01:19:53 2025 reduce to 115782358 relations and 93445911 ideals in 9 passes
  74. Sat May 3 01:19:53 2025 max relations containing the same ideal: 132
  75. Sat May 3 01:20:50 2025 removing 8064037 relations and 6064037 ideals in 2000000 cliques
  76. Sat May 3 01:20:55 2025 commencing in-memory singleton removal
  77. Sat May 3 01:20:57 2025 begin with 107718321 relations and 93445911 unique ideals
  78. Sat May 3 01:21:04 2025 reduce to 107265590 relations and 86921636 ideals in 8 passes
  79. Sat May 3 01:21:04 2025 max relations containing the same ideal: 126
  80. Sat May 3 01:21:52 2025 removing 7643514 relations and 5643514 ideals in 2000000 cliques
  81. Sat May 3 01:21:57 2025 commencing in-memory singleton removal
  82. Sat May 3 01:21:59 2025 begin with 99622076 relations and 86921636 unique ideals
  83. Sat May 3 01:22:05 2025 reduce to 99187637 relations and 80836045 ideals in 8 passes
  84. Sat May 3 01:22:05 2025 max relations containing the same ideal: 117
  85. Sat May 3 01:22:51 2025 removing 7391457 relations and 5391457 ideals in 2000000 cliques
  86. Sat May 3 01:22:55 2025 commencing in-memory singleton removal
  87. Sat May 3 01:22:57 2025 begin with 91796180 relations and 80836045 unique ideals
  88. Sat May 3 01:23:02 2025 reduce to 91362586 relations and 75003030 ideals in 7 passes
  89. Sat May 3 01:23:02 2025 max relations containing the same ideal: 111
  90. Sat May 3 01:23:42 2025 removing 7227361 relations and 5227361 ideals in 2000000 cliques
  91. Sat May 3 01:23:45 2025 commencing in-memory singleton removal
  92. Sat May 3 01:23:47 2025 begin with 84135225 relations and 75003030 unique ideals
  93. Sat May 3 01:23:52 2025 reduce to 83691502 relations and 69323297 ideals in 8 passes
  94. Sat May 3 01:23:52 2025 max relations containing the same ideal: 104
  95. Sat May 3 01:24:31 2025 removing 7127112 relations and 5127112 ideals in 2000000 cliques
  96. Sat May 3 01:24:35 2025 commencing in-memory singleton removal
  97. Sat May 3 01:24:36 2025 begin with 76564390 relations and 69323297 unique ideals
  98. Sat May 3 01:24:40 2025 reduce to 76095564 relations and 63717325 ideals in 8 passes
  99. Sat May 3 01:24:40 2025 max relations containing the same ideal: 100
  100. Sat May 3 01:25:13 2025 removing 7074089 relations and 5074089 ideals in 2000000 cliques
  101. Sat May 3 01:25:16 2025 commencing in-memory singleton removal
  102. Sat May 3 01:25:18 2025 begin with 69021475 relations and 63717325 unique ideals
  103. Sat May 3 01:25:21 2025 reduce to 68514627 relations and 58124929 ideals in 7 passes
  104. Sat May 3 01:25:21 2025 max relations containing the same ideal: 95
  105. Sat May 3 01:25:55 2025 removing 7066752 relations and 5066752 ideals in 2000000 cliques
  106. Sat May 3 01:25:58 2025 commencing in-memory singleton removal
  107. Sat May 3 01:25:59 2025 begin with 61447875 relations and 58124929 unique ideals
  108. Sat May 3 01:26:02 2025 reduce to 60890352 relations and 52486500 ideals in 7 passes
  109. Sat May 3 01:26:02 2025 max relations containing the same ideal: 87
  110. Sat May 3 01:26:31 2025 removing 7095519 relations and 5095519 ideals in 2000000 cliques
  111. Sat May 3 01:26:33 2025 commencing in-memory singleton removal
  112. Sat May 3 01:26:34 2025 begin with 53794833 relations and 52486500 unique ideals
  113. Sat May 3 01:26:38 2025 reduce to 53161692 relations and 46739618 ideals in 8 passes
  114. Sat May 3 01:26:38 2025 max relations containing the same ideal: 78
  115. Sat May 3 01:27:02 2025 removing 7164168 relations and 5164168 ideals in 2000000 cliques
  116. Sat May 3 01:27:05 2025 commencing in-memory singleton removal
  117. Sat May 3 01:27:06 2025 begin with 45997524 relations and 46739618 unique ideals
  118. Sat May 3 01:27:08 2025 reduce to 45248418 relations and 40802405 ideals in 9 passes
  119. Sat May 3 01:27:08 2025 max relations containing the same ideal: 71
  120. Sat May 3 01:27:31 2025 removing 7279643 relations and 5279643 ideals in 2000000 cliques
  121. Sat May 3 01:27:33 2025 commencing in-memory singleton removal
  122. Sat May 3 01:27:34 2025 begin with 37968775 relations and 40802405 unique ideals
  123. Sat May 3 01:27:36 2025 reduce to 37047127 relations and 34565755 ideals in 9 passes
  124. Sat May 3 01:27:36 2025 max relations containing the same ideal: 61
  125. Sat May 3 01:27:53 2025 removing 4690746 relations and 3594188 ideals in 1096558 cliques
  126. Sat May 3 01:27:55 2025 commencing in-memory singleton removal
  127. Sat May 3 01:27:56 2025 begin with 32356381 relations and 34565755 unique ideals
  128. Sat May 3 01:27:58 2025 reduce to 31901750 relations and 30505155 ideals in 9 passes
  129. Sat May 3 01:27:58 2025 max relations containing the same ideal: 53
  130. Sat May 3 01:28:14 2025 removing 104867 relations and 93086 ideals in 11781 cliques
  131. Sat May 3 01:28:15 2025 commencing in-memory singleton removal
  132. Sat May 3 01:28:15 2025 begin with 31796883 relations and 30505155 unique ideals
  133. Sat May 3 01:28:17 2025 reduce to 31796664 relations and 30411850 ideals in 5 passes
  134. Sat May 3 01:28:17 2025 max relations containing the same ideal: 53
  135. Sat May 3 01:28:20 2025 relations with 0 large ideals: 4366
  136. Sat May 3 01:28:20 2025 relations with 1 large ideals: 43865
  137. Sat May 3 01:28:20 2025 relations with 2 large ideals: 522472
  138. Sat May 3 01:28:20 2025 relations with 3 large ideals: 2512567
  139. Sat May 3 01:28:20 2025 relations with 4 large ideals: 6285032
  140. Sat May 3 01:28:20 2025 relations with 5 large ideals: 9047580
  141. Sat May 3 01:28:20 2025 relations with 6 large ideals: 7837005
  142. Sat May 3 01:28:20 2025 relations with 7+ large ideals: 5543777
  143. Sat May 3 01:28:20 2025 commencing 2-way merge
  144. Sat May 3 01:28:43 2025 reduce to 19108413 relation sets and 17723599 unique ideals
  145. Sat May 3 01:28:43 2025 commencing full merge
  146. Sat May 3 01:36:05 2025 memory use: 2178.8 MB
  147. Sat May 3 01:36:06 2025 found 8177529 cycles, need 8137799
  148. Sat May 3 01:36:09 2025 weight of 8137799 cycles is about 1058165888 (130.03/cycle)
  149. Sat May 3 01:36:09 2025 distribution of cycle lengths:
  150. Sat May 3 01:36:09 2025 1 relations: 413375
  151. Sat May 3 01:36:09 2025 2 relations: 488855
  152. Sat May 3 01:36:09 2025 3 relations: 519891
  153. Sat May 3 01:36:09 2025 4 relations: 514198
  154. Sat May 3 01:36:09 2025 5 relations: 523396
  155. Sat May 3 01:36:09 2025 6 relations: 519167
  156. Sat May 3 01:36:09 2025 7 relations: 509285
  157. Sat May 3 01:36:09 2025 8 relations: 499258
  158. Sat May 3 01:36:09 2025 9 relations: 479402
  159. Sat May 3 01:36:09 2025 10+ relations: 3670972
  160. Sat May 3 01:36:09 2025 heaviest cycle: 28 relations
  161. Sat May 3 01:36:12 2025 commencing cycle optimization
  162. Sat May 3 01:36:30 2025 start with 78192325 relations
  163. Sat May 3 01:39:47 2025 pruned 3467386 relations
  164. Sat May 3 01:39:47 2025 memory use: 2085.7 MB
  165. Sat May 3 01:39:47 2025 distribution of cycle lengths:
  166. Sat May 3 01:39:47 2025 1 relations: 413375
  167. Sat May 3 01:39:47 2025 2 relations: 501249
  168. Sat May 3 01:39:47 2025 3 relations: 540541
  169. Sat May 3 01:39:47 2025 4 relations: 534119
  170. Sat May 3 01:39:47 2025 5 relations: 547541
  171. Sat May 3 01:39:47 2025 6 relations: 542369
  172. Sat May 3 01:39:47 2025 7 relations: 534787
  173. Sat May 3 01:39:47 2025 8 relations: 523131
  174. Sat May 3 01:39:47 2025 9 relations: 503092
  175. Sat May 3 01:39:47 2025 10+ relations: 3497595
  176. Sat May 3 01:39:47 2025 heaviest cycle: 28 relations
  177. Sat May 3 01:40:02 2025 RelProcTime: 3905
  178. Sat May 3 01:40:02 2025
  179. Sat May 3 01:40:02 2025 commencing linear algebra
  180. Sat May 3 01:40:02 2025 using VBITS=256
  181. Sat May 3 01:40:02 2025 stopping after matrix build
  182. Sat May 3 01:40:02 2025 initialized process (0,0) of 1 x 1 grid
  183. Sat May 3 01:40:03 2025 read 8137799 cycles
  184. Sat May 3 01:40:19 2025 cycles contain 30887123 unique relations
  185. Sat May 3 01:44:58 2025 read 30887123 relations
  186. Sat May 3 01:45:02 2025 using 20 quadratic characters above 4294917295
  187. Sat May 3 01:45:06 2025 building initial matrix
  188. Sat May 3 01:52:56 2025 memory use: 4134.4 MB
  189. Sat May 3 01:53:02 2025 read 8137799 cycles
  190. Sat May 3 01:53:03 2025 matrix is 8137622 x 8137799 (4111.0 MB) with weight 1241956331 (152.62/col)
  191. Sat May 3 01:53:03 2025 sparse part has weight 980027204 (120.43/col)
  192. Sat May 3 01:54:52 2025 filtering completed in 2 passes
  193. Sat May 3 01:54:54 2025 matrix is 8137284 x 8137461 (4111.0 MB) with weight 1241938577 (152.62/col)
  194. Sat May 3 01:54:54 2025 sparse part has weight 980021222 (120.43/col)
  195. Sat May 3 01:55:43 2025 BLanczosTime: 941
  196. Sat May 3 01:55:43 2025 elapsed time 01:20:47
  197. Sat May 3 02:14:39 2025
  198. Sat May 3 02:14:39 2025
  199. Sat May 3 02:14:39 2025 Msieve v. 1.54 (SVN Unversioned directory)
  200. Sat May 3 02:14:39 2025 random seeds: b491db5f 72b200ff
  201. Sat May 3 02:14:39 2025 Using 96 OpenMP threads
  202. Sat May 3 02:14:39 2025 factoring 58347269327511095292168483771466744701229439554211230343284879977282975421060618211803428513349693637960348563074731539859967297119726024050412801791179608336085797593 (167 digits)
  203. Sat May 3 02:14:40 2025 searching for 15-digit factors
  204. Sat May 3 02:14:40 2025 commencing number field sieve (167-digit input)
  205. Sat May 3 02:14:40 2025 R0: -159364490471098664857194655688603
  206. Sat May 3 02:14:40 2025 R1: 21715733084263285749794929
  207. Sat May 3 02:14:40 2025 A0: -886507558649106139685403682852234734
  208. Sat May 3 02:14:40 2025 A1: 1554951227293480130972779969606
  209. Sat May 3 02:14:40 2025 A2: -2333686875526243984702891
  210. Sat May 3 02:14:40 2025 A3: -22785048857142228
  211. Sat May 3 02:14:40 2025 A4: 2673474458892
  212. Sat May 3 02:14:40 2025 A5: 209160
  213. Sat May 3 02:14:40 2025 skew 1590756.74, size 4.009e-16, alpha -4.412, combined = 6.895e-13 rroots = 3
  214. Sat May 3 02:14:40 2025
  215. Sat May 3 02:14:40 2025 commencing linear algebra
  216. Sat May 3 02:14:40 2025 using VBITS=256
  217. Sat May 3 02:14:40 2025 skipping matrix build
  218. Sat May 3 02:14:44 2025 matrix starts at (0, 0)
  219. Sat May 3 02:14:46 2025 matrix is 8137284 x 8137461 (4111.0 MB) with weight 1241938577 (152.62/col)
  220. Sat May 3 02:14:46 2025 sparse part has weight 980021222 (120.43/col)
  221. Sat May 3 02:14:46 2025 saving the first 240 matrix rows for later
  222. Sat May 3 02:14:50 2025 matrix includes 256 packed rows
  223. Sat May 3 02:14:56 2025 matrix is 8137044 x 8137461 (3732.1 MB) with weight 902440387 (110.90/col)
  224. Sat May 3 02:14:56 2025 sparse part has weight 848153083 (104.23/col)
  225. Sat May 3 02:14:56 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  226. Sat May 3 02:15:29 2025 commencing Lanczos iteration (96 threads)
  227. Sat May 3 02:15:29 2025 memory use: 5009.6 MB
  228. Sat May 3 02:16:35 2025 linear algebra at 0.4%, ETA 4h37m
  229. Sat May 3 02:18:00 2025 checking every 30000 dimensions, checkpointing every 1890000 dimensions
  230. Sat May 3 06:21:56 2025 lanczos halted after 31882 iterations (dim = 8137042)
  231. Sat May 3 06:22:36 2025 recovered 30 nontrivial dependencies
  232. Sat May 3 06:22:36 2025 BLanczosTime: 14876
  233. Sat May 3 06:22:36 2025
  234. Sat May 3 06:22:36 2025 commencing square root phase
  235. Sat May 3 06:22:36 2025 handling dependencies 1 to 64
  236. Sat May 3 06:22:36 2025 reading relations for dependency 1
  237. Sat May 3 06:22:37 2025 read 4070099 cycles
  238. Sat May 3 06:22:45 2025 cycles contain 15450242 unique relations
  239. Sat May 3 06:27:51 2025 read 15450242 relations
  240. Sat May 3 06:29:11 2025 multiplying 15450242 relations
  241. Sat May 3 06:38:01 2025 multiply complete, coefficients have about 844.44 million bits
  242. Sat May 3 06:38:04 2025 initial square root is modulo 37662227
  243. Sat May 3 06:45:47 2025 sqrtTime: 1391
  244. Sat May 3 06:45:47 2025 p54 factor: 378593902896939054331167988037873291428069746094264171
  245. Sat May 3 06:45:47 2025 p114 factor: 154115713119115936815947594023231888066116329315932873695913041796904639491280953689131227643892015133021747393483
  246. Sat May 3 06:45:47 2025 elapsed time 04:31:08
  247.  
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