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  1. Tue Jul 8 15:29:43 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Tue Jul 8 15:29:43 2025 random seeds: eb69bd39 e3bffe78
  3. Tue Jul 8 15:29:43 2025 Using 16 OpenMP threads
  4. Tue Jul 8 15:29:43 2025 factoring 91392380834089460161222735491477587703331191821234429219976157599353695371447174745748677004821048252453454644559708783505479540254316182305386552214133961631921736531 (167 digits)
  5. Tue Jul 8 15:29:43 2025 no P-1/P+1/ECM available, skipping
  6. Tue Jul 8 15:29:43 2025 commencing number field sieve (167-digit input)
  7. Tue Jul 8 15:29:43 2025 reversing signs of algebraic polynomial
  8. Tue Jul 8 15:29:43 2025 R0: -277060166885226809824762115919367
  9. Tue Jul 8 15:29:43 2025 R1: 3081170804654172886569097
  10. Tue Jul 8 15:29:43 2025 A0: -11908754580789338087401229474017365072
  11. Tue Jul 8 15:29:43 2025 A1: -36309504901458211820744157656612
  12. Tue Jul 8 15:29:43 2025 A2: -39182382948390957416154786
  13. Tue Jul 8 15:29:43 2025 A3: 29702635342677982835
  14. Tue Jul 8 15:29:43 2025 A4: 489630259350
  15. Tue Jul 8 15:29:43 2025 A5: 4189500
  16. Tue Jul 8 15:29:43 2025 skew 1734796.49, size 2.727e-16, alpha -6.619, combined = 5.483e-13 rroots = 1
  17. Tue Jul 8 15:29:43 2025
  18. Tue Jul 8 15:29:43 2025 commencing relation filtering
  19. Tue Jul 8 15:29:43 2025 setting target matrix density to 110.0
  20. Tue Jul 8 15:29:43 2025 reversing signs of algebraic polynomial
  21. Tue Jul 8 15:29:43 2025 estimated available RAM is 128734.6 MB
  22. Tue Jul 8 15:29:43 2025 commencing duplicate removal, pass 1
  23. Tue Jul 8 15:36:09 2025 skipped 1 malformed relations
  24. Tue Jul 8 15:36:09 2025 found 8422466 hash collisions in 196038584 relations
  25. Tue Jul 8 15:36:26 2025 added 121504 free relations
  26. Tue Jul 8 15:36:26 2025 commencing duplicate removal, pass 2
  27. Tue Jul 8 15:37:39 2025 found 0 duplicates and 196160088 unique relations
  28. Tue Jul 8 15:37:39 2025 memory use: 554.4 MB
  29. Tue Jul 8 15:37:39 2025 reading ideals above 720000
  30. Tue Jul 8 15:37:39 2025 commencing singleton removal, initial pass
  31. Tue Jul 8 15:45:48 2025 memory use: 5512.0 MB
  32. Tue Jul 8 15:45:48 2025 reading all ideals from disk
  33. Tue Jul 8 15:45:49 2025 memory use: 9029.6 MB
  34. Tue Jul 8 15:45:56 2025 keeping 164878980 ideals with weight <= 200, target excess is 969497
  35. Tue Jul 8 15:46:06 2025 commencing in-memory singleton removal
  36. Tue Jul 8 15:46:09 2025 begin with 196160088 relations and 164878980 unique ideals
  37. Tue Jul 8 15:46:22 2025 reduce to 153420787 relations and 120230504 ideals in 12 passes
  38. Tue Jul 8 15:46:22 2025 max relations containing the same ideal: 185
  39. Tue Jul 8 15:46:48 2025 removing 11057532 relations and 9057532 ideals in 2000000 cliques
  40. Tue Jul 8 15:46:51 2025 commencing in-memory singleton removal
  41. Tue Jul 8 15:46:53 2025 begin with 142363255 relations and 120230504 unique ideals
  42. Tue Jul 8 15:47:00 2025 reduce to 141775262 relations and 110575278 ideals in 8 passes
  43. Tue Jul 8 15:47:00 2025 max relations containing the same ideal: 174
  44. Tue Jul 8 15:47:24 2025 removing 8442298 relations and 6442298 ideals in 2000000 cliques
  45. Tue Jul 8 15:47:26 2025 commencing in-memory singleton removal
  46. Tue Jul 8 15:47:28 2025 begin with 133332964 relations and 110575278 unique ideals
  47. Tue Jul 8 15:47:34 2025 reduce to 132935539 relations and 103729646 ideals in 7 passes
  48. Tue Jul 8 15:47:34 2025 max relations containing the same ideal: 165
  49. Tue Jul 8 15:47:59 2025 removing 7664153 relations and 5664153 ideals in 2000000 cliques
  50. Tue Jul 8 15:48:02 2025 commencing in-memory singleton removal
  51. Tue Jul 8 15:48:04 2025 begin with 125271386 relations and 103729646 unique ideals
  52. Tue Jul 8 15:48:10 2025 reduce to 124921993 relations and 97710990 ideals in 7 passes
  53. Tue Jul 8 15:48:10 2025 max relations containing the same ideal: 157
  54. Tue Jul 8 15:48:33 2025 removing 7261548 relations and 5261548 ideals in 2000000 cliques
  55. Tue Jul 8 15:48:35 2025 commencing in-memory singleton removal
  56. Tue Jul 8 15:48:36 2025 begin with 117660445 relations and 97710990 unique ideals
  57. Tue Jul 8 15:48:42 2025 reduce to 117328892 relations and 92112876 ideals in 7 passes
  58. Tue Jul 8 15:48:42 2025 max relations containing the same ideal: 151
  59. Tue Jul 8 15:49:02 2025 removing 7005754 relations and 5005754 ideals in 2000000 cliques
  60. Tue Jul 8 15:49:04 2025 commencing in-memory singleton removal
  61. Tue Jul 8 15:49:06 2025 begin with 110323138 relations and 92112876 unique ideals
  62. Tue Jul 8 15:49:11 2025 reduce to 109999639 relations and 86778537 ideals in 7 passes
  63. Tue Jul 8 15:49:11 2025 max relations containing the same ideal: 146
  64. Tue Jul 8 15:49:30 2025 removing 6836066 relations and 4836066 ideals in 2000000 cliques
  65. Tue Jul 8 15:49:32 2025 commencing in-memory singleton removal
  66. Tue Jul 8 15:49:34 2025 begin with 103163573 relations and 86778537 unique ideals
  67. Tue Jul 8 15:49:38 2025 reduce to 102837593 relations and 81611085 ideals in 7 passes
  68. Tue Jul 8 15:49:38 2025 max relations containing the same ideal: 140
  69. Tue Jul 8 15:49:57 2025 removing 6723098 relations and 4723098 ideals in 2000000 cliques
  70. Tue Jul 8 15:49:58 2025 commencing in-memory singleton removal
  71. Tue Jul 8 15:50:00 2025 begin with 96114495 relations and 81611085 unique ideals
  72. Tue Jul 8 15:50:04 2025 reduce to 95783099 relations and 76550742 ideals in 7 passes
  73. Tue Jul 8 15:50:04 2025 max relations containing the same ideal: 133
  74. Tue Jul 8 15:50:21 2025 removing 6646287 relations and 4646287 ideals in 2000000 cliques
  75. Tue Jul 8 15:50:23 2025 commencing in-memory singleton removal
  76. Tue Jul 8 15:50:24 2025 begin with 89136812 relations and 76550742 unique ideals
  77. Tue Jul 8 15:50:28 2025 reduce to 88793645 relations and 71554882 ideals in 7 passes
  78. Tue Jul 8 15:50:28 2025 max relations containing the same ideal: 125
  79. Tue Jul 8 15:50:44 2025 removing 6594928 relations and 4594928 ideals in 2000000 cliques
  80. Tue Jul 8 15:50:46 2025 commencing in-memory singleton removal
  81. Tue Jul 8 15:50:47 2025 begin with 82198717 relations and 71554882 unique ideals
  82. Tue Jul 8 15:50:50 2025 reduce to 81836095 relations and 66589936 ideals in 7 passes
  83. Tue Jul 8 15:50:50 2025 max relations containing the same ideal: 119
  84. Tue Jul 8 15:51:05 2025 removing 6570193 relations and 4570193 ideals in 2000000 cliques
  85. Tue Jul 8 15:51:07 2025 commencing in-memory singleton removal
  86. Tue Jul 8 15:51:08 2025 begin with 75265902 relations and 66589936 unique ideals
  87. Tue Jul 8 15:51:11 2025 reduce to 74880024 relations and 61625500 ideals in 7 passes
  88. Tue Jul 8 15:51:11 2025 max relations containing the same ideal: 111
  89. Tue Jul 8 15:51:24 2025 removing 6568850 relations and 4568850 ideals in 2000000 cliques
  90. Tue Jul 8 15:51:26 2025 commencing in-memory singleton removal
  91. Tue Jul 8 15:51:27 2025 begin with 68311174 relations and 61625500 unique ideals
  92. Tue Jul 8 15:51:30 2025 reduce to 67893163 relations and 56628758 ideals in 8 passes
  93. Tue Jul 8 15:51:30 2025 max relations containing the same ideal: 104
  94. Tue Jul 8 15:51:43 2025 removing 6589690 relations and 4589690 ideals in 2000000 cliques
  95. Tue Jul 8 15:51:44 2025 commencing in-memory singleton removal
  96. Tue Jul 8 15:51:45 2025 begin with 61303473 relations and 56628758 unique ideals
  97. Tue Jul 8 15:51:49 2025 reduce to 60838807 relations and 51562560 ideals in 8 passes
  98. Tue Jul 8 15:51:49 2025 max relations containing the same ideal: 100
  99. Tue Jul 8 15:52:01 2025 removing 6640468 relations and 4640468 ideals in 2000000 cliques
  100. Tue Jul 8 15:52:02 2025 commencing in-memory singleton removal
  101. Tue Jul 8 15:52:03 2025 begin with 54198339 relations and 51562560 unique ideals
  102. Tue Jul 8 15:52:06 2025 reduce to 53671789 relations and 46380552 ideals in 8 passes
  103. Tue Jul 8 15:52:06 2025 max relations containing the same ideal: 91
  104. Tue Jul 8 15:52:17 2025 removing 6716032 relations and 4716032 ideals in 2000000 cliques
  105. Tue Jul 8 15:52:18 2025 commencing in-memory singleton removal
  106. Tue Jul 8 15:52:19 2025 begin with 46955757 relations and 46380552 unique ideals
  107. Tue Jul 8 15:52:21 2025 reduce to 46340455 relations and 41029598 ideals in 7 passes
  108. Tue Jul 8 15:52:21 2025 max relations containing the same ideal: 79
  109. Tue Jul 8 15:52:30 2025 removing 6820713 relations and 4820713 ideals in 2000000 cliques
  110. Tue Jul 8 15:52:32 2025 commencing in-memory singleton removal
  111. Tue Jul 8 15:52:32 2025 begin with 39519742 relations and 41029598 unique ideals
  112. Tue Jul 8 15:52:34 2025 reduce to 38779758 relations and 35441629 ideals in 8 passes
  113. Tue Jul 8 15:52:34 2025 max relations containing the same ideal: 72
  114. Tue Jul 8 15:52:43 2025 removing 6962353 relations and 4962353 ideals in 2000000 cliques
  115. Tue Jul 8 15:52:44 2025 commencing in-memory singleton removal
  116. Tue Jul 8 15:52:44 2025 begin with 31817405 relations and 35441629 unique ideals
  117. Tue Jul 8 15:52:46 2025 reduce to 30881622 relations and 29501682 ideals in 9 passes
  118. Tue Jul 8 15:52:46 2025 max relations containing the same ideal: 61
  119. Tue Jul 8 15:52:53 2025 removing 1419213 relations and 1163890 ideals in 255323 cliques
  120. Tue Jul 8 15:52:54 2025 commencing in-memory singleton removal
  121. Tue Jul 8 15:52:54 2025 begin with 29462409 relations and 29501682 unique ideals
  122. Tue Jul 8 15:52:55 2025 reduce to 29418955 relations and 28294032 ideals in 7 passes
  123. Tue Jul 8 15:52:55 2025 max relations containing the same ideal: 60
  124. Tue Jul 8 15:53:04 2025 relations with 0 large ideals: 3671
  125. Tue Jul 8 15:53:04 2025 relations with 1 large ideals: 28954
  126. Tue Jul 8 15:53:04 2025 relations with 2 large ideals: 371357
  127. Tue Jul 8 15:53:04 2025 relations with 3 large ideals: 1917106
  128. Tue Jul 8 15:53:04 2025 relations with 4 large ideals: 5159787
  129. Tue Jul 8 15:53:04 2025 relations with 5 large ideals: 8042371
  130. Tue Jul 8 15:53:04 2025 relations with 6 large ideals: 7623457
  131. Tue Jul 8 15:53:04 2025 relations with 7+ large ideals: 6272252
  132. Tue Jul 8 15:53:04 2025 commencing 2-way merge
  133. Tue Jul 8 15:53:13 2025 reduce to 17967824 relation sets and 16842901 unique ideals
  134. Tue Jul 8 15:53:13 2025 commencing full merge
  135. Tue Jul 8 15:56:16 2025 memory use: 2097.9 MB
  136. Tue Jul 8 15:56:17 2025 found 8376124 cycles, need 8247101
  137. Tue Jul 8 15:56:19 2025 weight of 8247101 cycles is about 907398945 (110.03/cycle)
  138. Tue Jul 8 15:56:19 2025 distribution of cycle lengths:
  139. Tue Jul 8 15:56:19 2025 1 relations: 490759
  140. Tue Jul 8 15:56:19 2025 2 relations: 592312
  141. Tue Jul 8 15:56:19 2025 3 relations: 641753
  142. Tue Jul 8 15:56:19 2025 4 relations: 643099
  143. Tue Jul 8 15:56:19 2025 5 relations: 650285
  144. Tue Jul 8 15:56:19 2025 6 relations: 639460
  145. Tue Jul 8 15:56:19 2025 7 relations: 619099
  146. Tue Jul 8 15:56:19 2025 8 relations: 587026
  147. Tue Jul 8 15:56:19 2025 9 relations: 544684
  148. Tue Jul 8 15:56:19 2025 10+ relations: 2838624
  149. Tue Jul 8 15:56:19 2025 heaviest cycle: 25 relations
  150. Tue Jul 8 15:56:20 2025 commencing cycle optimization
  151. Tue Jul 8 15:56:30 2025 start with 65704937 relations
  152. Tue Jul 8 15:57:38 2025 pruned 2521402 relations
  153. Tue Jul 8 15:57:38 2025 memory use: 1877.2 MB
  154. Tue Jul 8 15:57:38 2025 distribution of cycle lengths:
  155. Tue Jul 8 15:57:38 2025 1 relations: 490759
  156. Tue Jul 8 15:57:38 2025 2 relations: 607332
  157. Tue Jul 8 15:57:38 2025 3 relations: 667447
  158. Tue Jul 8 15:57:38 2025 4 relations: 667319
  159. Tue Jul 8 15:57:38 2025 5 relations: 678672
  160. Tue Jul 8 15:57:38 2025 6 relations: 666902
  161. Tue Jul 8 15:57:38 2025 7 relations: 647404
  162. Tue Jul 8 15:57:38 2025 8 relations: 608564
  163. Tue Jul 8 15:57:38 2025 9 relations: 563894
  164. Tue Jul 8 15:57:38 2025 10+ relations: 2648808
  165. Tue Jul 8 15:57:38 2025 heaviest cycle: 25 relations
  166. Tue Jul 8 15:57:47 2025 RelProcTime: 1684
  167. Tue Jul 8 15:57:47 2025 elapsed time 00:28:04
  168. Tue Jul 8 15:57:51 2025
  169. Tue Jul 8 15:57:51 2025
  170. Tue Jul 8 15:57:51 2025 Msieve v. 1.54 (SVN 66ed352)
  171. Tue Jul 8 15:57:51 2025 random seeds: 28108ae9 b892c592
  172. Tue Jul 8 15:57:51 2025 MPI process 0 of 2
  173. Tue Jul 8 15:57:51 2025 Using 8 OpenMP threads
  174. Tue Jul 8 15:57:51 2025 factoring 91392380834089460161222735491477587703331191821234429219976157599353695371447174745748677004821048252453454644559708783505479540254316182305386552214133961631921736531 (167 digits)
  175. Tue Jul 8 15:57:52 2025 no P-1/P+1/ECM available, skipping
  176. Tue Jul 8 15:57:52 2025 commencing number field sieve (167-digit input)
  177. Tue Jul 8 15:57:52 2025 reversing signs of algebraic polynomial
  178. Tue Jul 8 15:57:52 2025 R0: -277060166885226809824762115919367
  179. Tue Jul 8 15:57:52 2025 R1: 3081170804654172886569097
  180. Tue Jul 8 15:57:52 2025 A0: -11908754580789338087401229474017365072
  181. Tue Jul 8 15:57:52 2025 A1: -36309504901458211820744157656612
  182. Tue Jul 8 15:57:52 2025 A2: -39182382948390957416154786
  183. Tue Jul 8 15:57:52 2025 A3: 29702635342677982835
  184. Tue Jul 8 15:57:52 2025 A4: 489630259350
  185. Tue Jul 8 15:57:52 2025 A5: 4189500
  186. Tue Jul 8 15:57:52 2025 skew 1734796.49, size 2.727e-16, alpha -6.619, combined = 5.483e-13 rroots = 1
  187. Tue Jul 8 15:57:52 2025
  188. Tue Jul 8 15:57:52 2025 commencing linear algebra
  189. Tue Jul 8 15:57:52 2025 using VBITS=256
  190. Tue Jul 8 15:57:52 2025 initialized process (0,0) of 1 x 2 grid
  191. Tue Jul 8 15:57:52 2025 reversing signs of algebraic polynomial
  192. Tue Jul 8 15:57:52 2025 read 8247101 cycles
  193. Tue Jul 8 15:58:02 2025 cycles contain 28761049 unique relations
  194. Tue Jul 8 15:58:18 2025 read 28761049 relations
  195. Tue Jul 8 15:58:22 2025 using 20 quadratic characters above 4294917295
  196. Tue Jul 8 15:58:30 2025 building initial matrix
  197. Tue Jul 8 16:01:33 2025 memory use: 3900.9 MB
  198. Tue Jul 8 16:01:37 2025 read 8247101 cycles
  199. Tue Jul 8 16:01:38 2025 matrix is 8246924 x 8247101 (3625.0 MB) with weight 1099102352 (133.27/col)
  200. Tue Jul 8 16:01:38 2025 sparse part has weight 851303989 (103.22/col)
  201. Tue Jul 8 16:02:20 2025 filtering completed in 2 passes
  202. Tue Jul 8 16:02:21 2025 matrix is 8245882 x 8246059 (3624.9 MB) with weight 1099051223 (133.28/col)
  203. Tue Jul 8 16:02:21 2025 sparse part has weight 851284807 (103.24/col)
  204. Tue Jul 8 16:02:35 2025 matrix starts at (0, 0)
  205. Tue Jul 8 16:02:35 2025 matrix is 8245882 x 4123007 (1812.4 MB) with weight 549523126 (133.28/col)
  206. Tue Jul 8 16:02:35 2025 sparse part has weight 425642505 (103.24/col)
  207. Tue Jul 8 16:02:35 2025 saving the first 240 matrix rows for later
  208. Tue Jul 8 16:02:36 2025 matrix includes 256 packed rows
  209. Tue Jul 8 16:02:37 2025 matrix is 8245642 x 4123007 (1638.4 MB) with weight 387822472 (94.06/col)
  210. Tue Jul 8 16:02:37 2025 sparse part has weight 363528673 (88.17/col)
  211. Tue Jul 8 16:02:37 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  212. Tue Jul 8 16:02:37 2025 selected card has CUDA arch 8.6
  213. Tue Jul 8 16:02:50 2025 commencing Lanczos iteration
  214. Tue Jul 8 16:02:51 2025 memory use: 4204.7 MB
  215. Tue Jul 8 16:03:18 2025 linear algebra at 0.4%, ETA 2h 0m
  216. Tue Jul 8 16:03:59 2025 checking every 60000 dimensions, checkpointing every 4080000 dimensions
  217. Tue Jul 8 17:03:20 2025 lanczos halted after 32309 iterations (dim = 8245640)
  218. Tue Jul 8 17:03:42 2025 recovered 31 nontrivial dependencies
  219. Tue Jul 8 17:03:42 2025 BLanczosTime: 3950
  220. Tue Jul 8 17:03:42 2025 elapsed time 01:05:51
  221. Tue Jul 8 17:10:45 2025
  222. Tue Jul 8 17:10:45 2025
  223. Tue Jul 8 17:10:45 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  224. Tue Jul 8 17:10:45 2025 random seeds: b123b055 400d4a70
  225. Tue Jul 8 17:10:45 2025 Using 16 OpenMP threads
  226. Tue Jul 8 17:10:45 2025 factoring 91392380834089460161222735491477587703331191821234429219976157599353695371447174745748677004821048252453454644559708783505479540254316182305386552214133961631921736531 (167 digits)
  227. Tue Jul 8 17:10:46 2025 no P-1/P+1/ECM available, skipping
  228. Tue Jul 8 17:10:46 2025 commencing number field sieve (167-digit input)
  229. Tue Jul 8 17:10:46 2025 reversing signs of algebraic polynomial
  230. Tue Jul 8 17:10:46 2025 R0: -277060166885226809824762115919367
  231. Tue Jul 8 17:10:46 2025 R1: 3081170804654172886569097
  232. Tue Jul 8 17:10:46 2025 A0: -11908754580789338087401229474017365072
  233. Tue Jul 8 17:10:46 2025 A1: -36309504901458211820744157656612
  234. Tue Jul 8 17:10:46 2025 A2: -39182382948390957416154786
  235. Tue Jul 8 17:10:46 2025 A3: 29702635342677982835
  236. Tue Jul 8 17:10:46 2025 A4: 489630259350
  237. Tue Jul 8 17:10:46 2025 A5: 4189500
  238. Tue Jul 8 17:10:46 2025 skew 1734796.49, size 2.727e-16, alpha -6.619, combined = 5.483e-13 rroots = 1
  239. Tue Jul 8 17:10:46 2025
  240. Tue Jul 8 17:10:46 2025 commencing square root phase
  241. Tue Jul 8 17:10:46 2025 reversing signs of algebraic polynomial
  242. Tue Jul 8 17:10:46 2025 reading relations for dependency 1
  243. Tue Jul 8 17:10:47 2025 read 4124226 cycles
  244. Tue Jul 8 17:10:58 2025 cycles contain 14383014 unique relations
  245. Tue Jul 8 17:11:18 2025 read 14383014 relations
  246. Tue Jul 8 17:11:48 2025 multiplying 14383014 relations
  247. Tue Jul 8 17:13:17 2025 multiply complete, coefficients have about 829.35 million bits
  248. Tue Jul 8 17:13:19 2025 initial square root is modulo 27572801
  249. Tue Jul 8 17:16:19 2025 sqrtTime: 333
  250. Tue Jul 8 17:16:19 2025 p78 factor: 263941775190712886285873944879807352554277279133956222711216536866957564387851
  251. Tue Jul 8 17:16:19 2025 p90 factor: 346259627783640112075219394069491667413649386271479504017192577019191524198922279410110681
  252. Tue Jul 8 17:16:19 2025 elapsed time 00:05:34
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