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Aug 29th, 2025
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  1. Tue Aug 26 02:28:14 2025
  2. Tue Aug 26 02:28:14 2025
  3. Tue Aug 26 02:28:14 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Aug 26 02:28:14 2025 random seeds: 2bf9ec4c 4943f8c4
  5. Tue Aug 26 02:28:14 2025 MPI process 0 of 1
  6. Tue Aug 26 02:28:14 2025 Using 32 OpenMP threads
  7. Tue Aug 26 02:28:14 2025 factoring 7948139261348497730192365914248070492889643399324357820134326100789980748448436586626528466608741196450031625368422128356715012457971447295831327440616263475329427093111548043063033520697 (187 digits)
  8. Tue Aug 26 02:28:15 2025 searching for 15-digit factors
  9. Tue Aug 26 02:28:16 2025 commencing number field sieve (187-digit input)
  10. Tue Aug 26 02:28:16 2025 reversing signs of algebraic polynomial
  11. Tue Aug 26 02:28:16 2025 R0: -909142905091073162114152094247426271
  12. Tue Aug 26 02:28:16 2025 R1: 14839881414279583266432869
  13. Tue Aug 26 02:28:16 2025 A0: 1058580499809737784882967570188816069626182
  14. Tue Aug 26 02:28:16 2025 A1: 297316252112647823737782207975780205
  15. Tue Aug 26 02:28:16 2025 A2: -303358481689157512565271800629
  16. Tue Aug 26 02:28:16 2025 A3: -9964307340057731998102
  17. Tue Aug 26 02:28:16 2025 A4: 4540939869570084
  18. Tue Aug 26 02:28:16 2025 A5: 230270040
  19. Tue Aug 26 02:28:16 2025 skew 7848715.79, size 2.498e-18, alpha -6.659, combined = 3.095e-14 rroots = 5
  20. Tue Aug 26 02:28:16 2025
  21. Tue Aug 26 02:28:16 2025 commencing relation filtering
  22. Tue Aug 26 02:28:16 2025 setting target matrix density to 130.0
  23. Tue Aug 26 02:28:16 2025 reversing signs of algebraic polynomial
  24. Tue Aug 26 02:28:16 2025 estimated available RAM is 257736.5 MB
  25. Tue Aug 26 02:28:16 2025 commencing duplicate removal, pass 1
  26. Tue Aug 26 02:48:57 2025 skipped 3 relations with b > 2^32
  27. Tue Aug 26 02:48:57 2025 skipped 7 relations with composite factors
  28. Tue Aug 26 02:48:57 2025 skipped 1407 malformed relations
  29. Tue Aug 26 02:48:57 2025 found 108432059 hash collisions in 476814975 relations
  30. Tue Aug 26 02:49:34 2025 added 122561 free relations
  31. Tue Aug 26 02:49:34 2025 commencing duplicate removal, pass 2
  32. Tue Aug 26 03:07:19 2025 found 117815446 duplicates and 359122090 unique relations
  33. Tue Aug 26 03:07:19 2025 memory use: 2899.0 MB
  34. Tue Aug 26 03:07:20 2025 reading ideals above 720000
  35. Tue Aug 26 03:07:20 2025 commencing singleton removal, initial pass
  36. Tue Aug 26 04:01:54 2025 memory use: 11024.0 MB
  37. Tue Aug 26 04:01:55 2025 reading all ideals from disk
  38. Tue Aug 26 04:02:07 2025 memory use: 17942.1 MB
  39. Tue Aug 26 04:04:02 2025 keeping 340003894 ideals with weight <= 200, target excess is 1825830
  40. Tue Aug 26 04:06:17 2025 commencing in-memory singleton removal
  41. Tue Aug 26 04:06:28 2025 begin with 359122090 relations and 340003894 unique ideals
  42. Tue Aug 26 04:07:15 2025 reduce to 229976214 relations and 197643297 ideals in 16 passes
  43. Tue Aug 26 04:07:15 2025 max relations containing the same ideal: 158
  44. Tue Aug 26 04:10:24 2025 removing 14117194 relations and 12117194 ideals in 2000000 cliques
  45. Tue Aug 26 04:10:37 2025 commencing in-memory singleton removal
  46. Tue Aug 26 04:10:43 2025 begin with 215859020 relations and 197643297 unique ideals
  47. Tue Aug 26 04:11:01 2025 reduce to 215151107 relations and 184809588 ideals in 8 passes
  48. Tue Aug 26 04:11:01 2025 max relations containing the same ideal: 151
  49. Tue Aug 26 04:14:10 2025 removing 10653621 relations and 8653621 ideals in 2000000 cliques
  50. Tue Aug 26 04:14:25 2025 commencing in-memory singleton removal
  51. Tue Aug 26 04:14:31 2025 begin with 204497486 relations and 184809588 unique ideals
  52. Tue Aug 26 04:14:50 2025 reduce to 204047078 relations and 175701039 ideals in 9 passes
  53. Tue Aug 26 04:14:50 2025 max relations containing the same ideal: 145
  54. Tue Aug 26 04:17:27 2025 removing 9582172 relations and 7582172 ideals in 2000000 cliques
  55. Tue Aug 26 04:17:38 2025 commencing in-memory singleton removal
  56. Tue Aug 26 04:17:42 2025 begin with 194464906 relations and 175701039 unique ideals
  57. Tue Aug 26 04:17:57 2025 reduce to 194076839 relations and 167727064 ideals in 7 passes
  58. Tue Aug 26 04:17:57 2025 max relations containing the same ideal: 141
  59. Tue Aug 26 04:20:20 2025 removing 9010735 relations and 7010735 ideals in 2000000 cliques
  60. Tue Aug 26 04:20:30 2025 commencing in-memory singleton removal
  61. Tue Aug 26 04:20:35 2025 begin with 185066104 relations and 167727064 unique ideals
  62. Tue Aug 26 04:20:50 2025 reduce to 184705037 relations and 160351670 ideals in 8 passes
  63. Tue Aug 26 04:20:50 2025 max relations containing the same ideal: 136
  64. Tue Aug 26 04:23:05 2025 removing 8654244 relations and 6654244 ideals in 2000000 cliques
  65. Tue Aug 26 04:23:14 2025 commencing in-memory singleton removal
  66. Tue Aug 26 04:23:19 2025 begin with 176050793 relations and 160351670 unique ideals
  67. Tue Aug 26 04:23:33 2025 reduce to 175703079 relations and 153346258 ideals in 7 passes
  68. Tue Aug 26 04:23:33 2025 max relations containing the same ideal: 132
  69. Tue Aug 26 04:25:47 2025 removing 8407494 relations and 6407494 ideals in 2000000 cliques
  70. Tue Aug 26 04:25:55 2025 commencing in-memory singleton removal
  71. Tue Aug 26 04:25:59 2025 begin with 167295585 relations and 153346258 unique ideals
  72. Tue Aug 26 04:26:12 2025 reduce to 166951411 relations and 146590910 ideals in 7 passes
  73. Tue Aug 26 04:26:12 2025 max relations containing the same ideal: 127
  74. Tue Aug 26 04:28:15 2025 removing 8242311 relations and 6242311 ideals in 2000000 cliques
  75. Tue Aug 26 04:28:24 2025 commencing in-memory singleton removal
  76. Tue Aug 26 04:28:28 2025 begin with 158709100 relations and 146590910 unique ideals
  77. Tue Aug 26 04:28:41 2025 reduce to 158361376 relations and 139997169 ideals in 7 passes
  78. Tue Aug 26 04:28:41 2025 max relations containing the same ideal: 124
  79. Tue Aug 26 04:30:48 2025 removing 8133634 relations and 6133634 ideals in 2000000 cliques
  80. Tue Aug 26 04:30:56 2025 commencing in-memory singleton removal
  81. Tue Aug 26 04:31:00 2025 begin with 150227742 relations and 139997169 unique ideals
  82. Tue Aug 26 04:31:16 2025 reduce to 149872151 relations and 133503864 ideals in 9 passes
  83. Tue Aug 26 04:31:16 2025 max relations containing the same ideal: 121
  84. Tue Aug 26 04:33:14 2025 removing 8056632 relations and 6056632 ideals in 2000000 cliques
  85. Tue Aug 26 04:33:23 2025 commencing in-memory singleton removal
  86. Tue Aug 26 04:33:26 2025 begin with 141815519 relations and 133503864 unique ideals
  87. Tue Aug 26 04:33:37 2025 reduce to 141448520 relations and 127075878 ideals in 7 passes
  88. Tue Aug 26 04:33:37 2025 max relations containing the same ideal: 114
  89. Tue Aug 26 04:35:25 2025 removing 8025800 relations and 6025800 ideals in 2000000 cliques
  90. Tue Aug 26 04:35:33 2025 commencing in-memory singleton removal
  91. Tue Aug 26 04:35:36 2025 begin with 133422720 relations and 127075878 unique ideals
  92. Tue Aug 26 04:35:48 2025 reduce to 133036922 relations and 120659449 ideals in 7 passes
  93. Tue Aug 26 04:35:48 2025 max relations containing the same ideal: 110
  94. Tue Aug 26 04:37:27 2025 removing 8019048 relations and 6019048 ideals in 2000000 cliques
  95. Tue Aug 26 04:37:34 2025 commencing in-memory singleton removal
  96. Tue Aug 26 04:37:37 2025 begin with 125017874 relations and 120659449 unique ideals
  97. Tue Aug 26 04:37:47 2025 reduce to 124608923 relations and 114226068 ideals in 7 passes
  98. Tue Aug 26 04:37:47 2025 max relations containing the same ideal: 104
  99. Tue Aug 26 04:39:26 2025 removing 8042105 relations and 6042105 ideals in 2000000 cliques
  100. Tue Aug 26 04:39:33 2025 commencing in-memory singleton removal
  101. Tue Aug 26 04:39:36 2025 begin with 116566818 relations and 114226068 unique ideals
  102. Tue Aug 26 04:39:45 2025 reduce to 116128841 relations and 107739735 ideals in 7 passes
  103. Tue Aug 26 04:39:45 2025 max relations containing the same ideal: 99
  104. Tue Aug 26 04:41:25 2025 removing 8091104 relations and 6091104 ideals in 2000000 cliques
  105. Tue Aug 26 04:41:32 2025 commencing in-memory singleton removal
  106. Tue Aug 26 04:41:35 2025 begin with 108037737 relations and 107739735 unique ideals
  107. Tue Aug 26 04:41:44 2025 reduce to 107558880 relations and 101162591 ideals in 10 passes
  108. Tue Aug 26 04:41:44 2025 max relations containing the same ideal: 95
  109. Tue Aug 26 04:43:10 2025 removing 8171988 relations and 6171988 ideals in 2000000 cliques
  110. Tue Aug 26 04:43:16 2025 commencing in-memory singleton removal
  111. Tue Aug 26 04:43:19 2025 begin with 99386892 relations and 101162591 unique ideals
  112. Tue Aug 26 04:43:26 2025 reduce to 98858118 relations and 94453367 ideals in 8 passes
  113. Tue Aug 26 04:43:26 2025 max relations containing the same ideal: 89
  114. Tue Aug 26 04:44:48 2025 removing 8279303 relations and 6279303 ideals in 2000000 cliques
  115. Tue Aug 26 04:44:55 2025 commencing in-memory singleton removal
  116. Tue Aug 26 04:44:57 2025 begin with 90578815 relations and 94453367 unique ideals
  117. Tue Aug 26 04:45:05 2025 reduce to 89983888 relations and 87568870 ideals in 9 passes
  118. Tue Aug 26 04:45:05 2025 max relations containing the same ideal: 87
  119. Tue Aug 26 04:46:19 2025 removing 1781745 relations and 1484690 ideals in 297055 cliques
  120. Tue Aug 26 04:46:24 2025 commencing in-memory singleton removal
  121. Tue Aug 26 04:46:26 2025 begin with 88202143 relations and 87568870 unique ideals
  122. Tue Aug 26 04:46:31 2025 reduce to 88176270 relations and 86058244 ideals in 6 passes
  123. Tue Aug 26 04:46:31 2025 max relations containing the same ideal: 84
  124. Tue Aug 26 04:46:48 2025 relations with 0 large ideals: 6186
  125. Tue Aug 26 04:46:48 2025 relations with 1 large ideals: 32745
  126. Tue Aug 26 04:46:48 2025 relations with 2 large ideals: 456400
  127. Tue Aug 26 04:46:48 2025 relations with 3 large ideals: 2797029
  128. Tue Aug 26 04:46:48 2025 relations with 4 large ideals: 9395230
  129. Tue Aug 26 04:46:48 2025 relations with 5 large ideals: 18975825
  130. Tue Aug 26 04:46:48 2025 relations with 6 large ideals: 24148194
  131. Tue Aug 26 04:46:48 2025 relations with 7+ large ideals: 32364661
  132. Tue Aug 26 04:46:48 2025 commencing 2-way merge
  133. Tue Aug 26 04:48:28 2025 reduce to 56071854 relation sets and 53953828 unique ideals
  134. Tue Aug 26 04:48:28 2025 commencing full merge
  135. Tue Aug 26 05:28:41 2025 memory use: 6544.3 MB
  136. Tue Aug 26 05:28:51 2025 found 24291563 cycles, need 24222028
  137. Tue Aug 26 05:29:03 2025 weight of 24222028 cycles is about 3148884695 (130.00/cycle)
  138. Tue Aug 26 05:29:03 2025 distribution of cycle lengths:
  139. Tue Aug 26 05:29:03 2025 1 relations: 1547123
  140. Tue Aug 26 05:29:03 2025 2 relations: 1663311
  141. Tue Aug 26 05:29:03 2025 3 relations: 1738240
  142. Tue Aug 26 05:29:03 2025 4 relations: 1688900
  143. Tue Aug 26 05:29:03 2025 5 relations: 1674221
  144. Tue Aug 26 05:29:03 2025 6 relations: 1604094
  145. Tue Aug 26 05:29:03 2025 7 relations: 1570688
  146. Tue Aug 26 05:29:03 2025 8 relations: 1483563
  147. Tue Aug 26 05:29:03 2025 9 relations: 1416582
  148. Tue Aug 26 05:29:03 2025 10+ relations: 9835306
  149. Tue Aug 26 05:29:03 2025 heaviest cycle: 28 relations
  150. Tue Aug 26 05:29:15 2025 commencing cycle optimization
  151. Tue Aug 26 05:31:00 2025 start with 216129999 relations
  152. Tue Aug 26 05:46:36 2025 pruned 9436912 relations
  153. Tue Aug 26 05:46:36 2025 memory use: 5827.5 MB
  154. Tue Aug 26 05:46:36 2025 distribution of cycle lengths:
  155. Tue Aug 26 05:46:36 2025 1 relations: 1547123
  156. Tue Aug 26 05:46:36 2025 2 relations: 1708409
  157. Tue Aug 26 05:46:36 2025 3 relations: 1812960
  158. Tue Aug 26 05:46:36 2025 4 relations: 1756359
  159. Tue Aug 26 05:46:36 2025 5 relations: 1750512
  160. Tue Aug 26 05:46:36 2025 6 relations: 1675953
  161. Tue Aug 26 05:46:36 2025 7 relations: 1640955
  162. Tue Aug 26 05:46:36 2025 8 relations: 1546810
  163. Tue Aug 26 05:46:36 2025 9 relations: 1473381
  164. Tue Aug 26 05:46:36 2025 10+ relations: 9309566
  165. Tue Aug 26 05:46:36 2025 heaviest cycle: 28 relations
  166. Tue Aug 26 05:47:50 2025 RelProcTime: 11974
  167. Tue Aug 26 05:47:50 2025
  168. Tue Aug 26 05:47:50 2025 commencing linear algebra
  169. Tue Aug 26 05:47:50 2025 using VBITS=256
  170. Tue Aug 26 05:47:50 2025 stopping after matrix build
  171. Tue Aug 26 05:47:50 2025 initialized process (0,0) of 1 x 1 grid
  172. Tue Aug 26 05:47:50 2025 reversing signs of algebraic polynomial
  173. Tue Aug 26 05:47:55 2025 read 24222028 cycles
  174. Tue Aug 26 05:49:24 2025 cycles contain 86962649 unique relations
  175. Tue Aug 26 06:01:03 2025 read 86962649 relations
  176. Tue Aug 26 06:01:19 2025 using 20 quadratic characters above 4294917295
  177. Tue Aug 26 06:01:34 2025 building initial matrix
  178. Tue Aug 26 06:44:36 2025 memory use: 12223.8 MB
  179. Tue Aug 26 06:45:10 2025 read 24222028 cycles
  180. Tue Aug 26 06:45:18 2025 matrix is 24221851 x 24222028 (12299.1 MB) with weight 3689334652 (152.31/col)
  181. Tue Aug 26 06:45:18 2025 sparse part has weight 2933460119 (121.11/col)
  182. Tue Aug 26 06:58:08 2025 filtering completed in 2 passes
  183. Tue Aug 26 06:58:18 2025 matrix is 24221195 x 24221371 (12299.0 MB) with weight 3689303105 (152.32/col)
  184. Tue Aug 26 06:58:18 2025 sparse part has weight 2933450863 (121.11/col)
  185. Tue Aug 26 07:01:53 2025 BLanczosTime: 4443
  186. Tue Aug 26 07:01:53 2025 elapsed time 04:33:39
  187. Tue Aug 26 10:14:40 2025
  188. Tue Aug 26 10:14:40 2025
  189. Tue Aug 26 10:14:40 2025 Msieve v. 1.54 (SVN Unversioned directory)
  190. Tue Aug 26 10:14:40 2025 random seeds: 72b9ca5d c9bbf6f2
  191. Tue Aug 26 10:14:40 2025 MPI process 0 of 1
  192. Tue Aug 26 10:14:40 2025 Using 64 OpenMP threads
  193. Tue Aug 26 10:14:40 2025 factoring 7948139261348497730192365914248070492889643399324357820134326100789980748448436586626528466608741196450031625368422128356715012457971447295831327440616263475329427093111548043063033520697 (187 digits)
  194. Tue Aug 26 10:14:41 2025 searching for 15-digit factors
  195. Tue Aug 26 10:14:42 2025 commencing number field sieve (187-digit input)
  196. Tue Aug 26 10:14:42 2025 reversing signs of algebraic polynomial
  197. Tue Aug 26 10:14:42 2025 R0: -909142905091073162114152094247426271
  198. Tue Aug 26 10:14:42 2025 R1: 14839881414279583266432869
  199. Tue Aug 26 10:14:42 2025 A0: 1058580499809737784882967570188816069626182
  200. Tue Aug 26 10:14:42 2025 A1: 297316252112647823737782207975780205
  201. Tue Aug 26 10:14:42 2025 A2: -303358481689157512565271800629
  202. Tue Aug 26 10:14:42 2025 A3: -9964307340057731998102
  203. Tue Aug 26 10:14:42 2025 A4: 4540939869570084
  204. Tue Aug 26 10:14:42 2025 A5: 230270040
  205. Tue Aug 26 10:14:42 2025 skew 7848715.79, size 2.498e-18, alpha -6.659, combined = 3.095e-14 rroots = 5
  206. Tue Aug 26 10:14:42 2025
  207. Tue Aug 26 10:14:42 2025 commencing linear algebra
  208. Tue Aug 26 10:14:42 2025 using VBITS=256
  209. Tue Aug 26 10:14:42 2025 skipping matrix build
  210. Tue Aug 26 10:14:42 2025 initialized process (0,0) of 1 x 1 grid
  211. Tue Aug 26 10:15:02 2025 matrix starts at (0, 0)
  212. Tue Aug 26 10:15:13 2025 matrix is 24221195 x 24221371 (12299.0 MB) with weight 3689303105 (152.32/col)
  213. Tue Aug 26 10:15:13 2025 sparse part has weight 2933450863 (121.11/col)
  214. Tue Aug 26 10:15:13 2025 saving the first 240 matrix rows for later
  215. Tue Aug 26 10:15:27 2025 matrix includes 256 packed rows
  216. Tue Aug 26 10:15:43 2025 matrix is 24220955 x 24221371 (11181.6 MB) with weight 2697430101 (111.37/col)
  217. Tue Aug 26 10:15:43 2025 sparse part has weight 2543656222 (105.02/col)
  218. Tue Aug 26 10:15:43 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  219. Tue Aug 26 10:16:45 2025 commencing Lanczos iteration (64 threads)
  220. Tue Aug 26 10:16:45 2025 memory use: 15852.3 MB
  221. Tue Aug 26 10:20:38 2025 linear algebra at 0.1%, ETA 50h 0m
  222. Tue Aug 26 10:26:14 2025 checking every 10000 dimensions, checkpointing every 500000 dimensions
  223. Thu Aug 28 10:57:35 2025 lanczos halted after 94897 iterations (dim = 24220955)
  224. Thu Aug 28 10:58:52 2025 recovered 33 nontrivial dependencies
  225. Thu Aug 28 10:58:56 2025 BLanczosTime: 175454
  226. Thu Aug 28 10:58:56 2025
  227. Thu Aug 28 10:58:56 2025 commencing square root phase
  228. Thu Aug 28 10:58:56 2025 reversing signs of algebraic polynomial
  229. Thu Aug 28 10:58:56 2025 handling dependencies 1 to 64
  230. Thu Aug 28 10:58:56 2025 reading relations for dependency 1
  231. Thu Aug 28 10:58:58 2025 read 12109524 cycles
  232. Thu Aug 28 10:59:21 2025 cycles contain 43484540 unique relations
  233. Thu Aug 28 11:06:39 2025 read 43484540 relations
  234. Thu Aug 28 11:09:27 2025 multiplying 43484540 relations
  235. Thu Aug 28 11:14:35 2025 multiply complete, coefficients have about 2866.83 million bits
  236. Thu Aug 28 11:14:42 2025 initial square root is modulo 2690803
  237. Thu Aug 28 11:48:11 2025 GCD is N, no factor found
  238. Thu Aug 28 11:48:11 2025 reading relations for dependency 2
  239. Thu Aug 28 11:48:16 2025 read 12111080 cycles
  240. Thu Aug 28 11:49:01 2025 cycles contain 43485452 unique relations
  241. Thu Aug 28 12:00:24 2025 read 43485452 relations
  242. Thu Aug 28 12:06:55 2025 multiplying 43485452 relations
  243. Thu Aug 28 12:16:27 2025 multiply complete, coefficients have about 2866.89 million bits
  244. Thu Aug 28 12:16:39 2025 initial square root is modulo 2691811
  245. Thu Aug 28 12:52:31 2025 sqrtTime: 6815
  246. Thu Aug 28 12:52:31 2025 p82 factor: 2138616985821596600493632300707626195422965666012245442947458872554143563395829999
  247. Thu Aug 28 12:52:31 2025 p106 factor: 3716485613853406192819008750038416603811396714566630212643009972166512851730100758664060120419965172969303
  248. Thu Aug 28 12:52:31 2025 elapsed time 50:37:51
  249.  
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