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May 10th, 2025
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  1. Sat May 10 20:51:24 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Sat May 10 20:51:24 2025 random seeds: 71ff0866 8d82550d
  3. Sat May 10 20:51:24 2025 Using 16 OpenMP threads
  4. Sat May 10 20:51:24 2025 factoring 22188870752775259075891207511769402972439843043018197378795653202224891941805563184665426983631433603930581529830832895780985175061160165486997302054434916391081866099417942089180291354599750134587246125102467 (209 digits)
  5. Sat May 10 20:51:25 2025 no P-1/P+1/ECM available, skipping
  6. Sat May 10 20:51:25 2025 commencing number field sieve (209-digit input)
  7. Sat May 10 20:51:25 2025 R0: -1
  8. Sat May 10 20:51:25 2025 R1: 868121851349559756719478616692203651
  9. Sat May 10 20:51:25 2025 A0: -15406931
  10. Sat May 10 20:51:25 2025 A1: 0
  11. Sat May 10 20:51:25 2025 A2: 0
  12. Sat May 10 20:51:25 2025 A3: 0
  13. Sat May 10 20:51:25 2025 A4: 0
  14. Sat May 10 20:51:25 2025 A5: 0
  15. Sat May 10 20:51:25 2025 A6: 1
  16. Sat May 10 20:51:25 2025 skew 19.97, size 1.630e-11, alpha -0.286, combined = 9.211e-13 rroots = 2
  17. Sat May 10 20:51:25 2025
  18. Sat May 10 20:51:25 2025 commencing relation filtering
  19. Sat May 10 20:51:25 2025 setting target matrix density to 110.0
  20. Sat May 10 20:51:25 2025 estimated available RAM is 128734.6 MB
  21. Sat May 10 20:51:25 2025 commencing duplicate removal, pass 1
  22. Sat May 10 20:52:03 2025 found 2843645 hash collisions in 80099761 relations
  23. Sat May 10 20:52:10 2025 added 1219474 free relations
  24. Sat May 10 20:52:10 2025 commencing duplicate removal, pass 2
  25. Sat May 10 20:52:22 2025 found 0 duplicates and 81319235 unique relations
  26. Sat May 10 20:52:22 2025 memory use: 261.2 MB
  27. Sat May 10 20:52:22 2025 reading ideals above 720000
  28. Sat May 10 20:52:22 2025 commencing singleton removal, initial pass
  29. Sat May 10 20:54:17 2025 memory use: 1506.0 MB
  30. Sat May 10 20:54:18 2025 reading all ideals from disk
  31. Sat May 10 20:54:18 2025 memory use: 3686.1 MB
  32. Sat May 10 20:54:21 2025 keeping 72139794 ideals with weight <= 200, target excess is 413842
  33. Sat May 10 20:54:25 2025 commencing in-memory singleton removal
  34. Sat May 10 20:54:26 2025 begin with 81319235 relations and 72139794 unique ideals
  35. Sat May 10 20:54:34 2025 reduce to 61989144 relations and 51822494 ideals in 14 passes
  36. Sat May 10 20:54:34 2025 max relations containing the same ideal: 173
  37. Sat May 10 20:54:45 2025 removing 5635930 relations and 4635930 ideals in 1000000 cliques
  38. Sat May 10 20:54:46 2025 commencing in-memory singleton removal
  39. Sat May 10 20:54:47 2025 begin with 56353214 relations and 51822494 unique ideals
  40. Sat May 10 20:54:50 2025 reduce to 55917311 relations and 46741330 ideals in 8 passes
  41. Sat May 10 20:54:50 2025 max relations containing the same ideal: 164
  42. Sat May 10 20:55:00 2025 removing 4359913 relations and 3359913 ideals in 1000000 cliques
  43. Sat May 10 20:55:01 2025 commencing in-memory singleton removal
  44. Sat May 10 20:55:02 2025 begin with 51557398 relations and 46741330 unique ideals
  45. Sat May 10 20:55:05 2025 reduce to 51266741 relations and 43085407 ideals in 8 passes
  46. Sat May 10 20:55:05 2025 max relations containing the same ideal: 156
  47. Sat May 10 20:55:14 2025 removing 3976435 relations and 2976435 ideals in 1000000 cliques
  48. Sat May 10 20:55:15 2025 commencing in-memory singleton removal
  49. Sat May 10 20:55:16 2025 begin with 47290306 relations and 43085407 unique ideals
  50. Sat May 10 20:55:19 2025 reduce to 47032970 relations and 39846746 ideals in 8 passes
  51. Sat May 10 20:55:19 2025 max relations containing the same ideal: 147
  52. Sat May 10 20:55:27 2025 removing 3788594 relations and 2788594 ideals in 1000000 cliques
  53. Sat May 10 20:55:28 2025 commencing in-memory singleton removal
  54. Sat May 10 20:55:29 2025 begin with 43244376 relations and 39846746 unique ideals
  55. Sat May 10 20:55:31 2025 reduce to 42998135 relations and 36807186 ideals in 8 passes
  56. Sat May 10 20:55:31 2025 max relations containing the same ideal: 141
  57. Sat May 10 20:55:39 2025 removing 3669634 relations and 2669634 ideals in 1000000 cliques
  58. Sat May 10 20:55:40 2025 commencing in-memory singleton removal
  59. Sat May 10 20:55:40 2025 begin with 39328501 relations and 36807186 unique ideals
  60. Sat May 10 20:55:42 2025 reduce to 39084186 relations and 33888077 ideals in 6 passes
  61. Sat May 10 20:55:42 2025 max relations containing the same ideal: 135
  62. Sat May 10 20:55:49 2025 removing 3589468 relations and 2589468 ideals in 1000000 cliques
  63. Sat May 10 20:55:50 2025 commencing in-memory singleton removal
  64. Sat May 10 20:55:51 2025 begin with 35494718 relations and 33888077 unique ideals
  65. Sat May 10 20:55:52 2025 reduce to 35243820 relations and 31041917 ideals in 7 passes
  66. Sat May 10 20:55:52 2025 max relations containing the same ideal: 128
  67. Sat May 10 20:55:59 2025 removing 3534076 relations and 2534076 ideals in 1000000 cliques
  68. Sat May 10 20:56:00 2025 commencing in-memory singleton removal
  69. Sat May 10 20:56:00 2025 begin with 31709744 relations and 31041917 unique ideals
  70. Sat May 10 20:56:02 2025 reduce to 31449132 relations and 28240935 ideals in 7 passes
  71. Sat May 10 20:56:02 2025 max relations containing the same ideal: 116
  72. Sat May 10 20:56:08 2025 removing 3498531 relations and 2498531 ideals in 1000000 cliques
  73. Sat May 10 20:56:08 2025 commencing in-memory singleton removal
  74. Sat May 10 20:56:09 2025 begin with 27950601 relations and 28240935 unique ideals
  75. Sat May 10 20:56:10 2025 reduce to 27672893 relations and 25456994 ideals in 8 passes
  76. Sat May 10 20:56:10 2025 max relations containing the same ideal: 105
  77. Sat May 10 20:56:16 2025 removing 3471130 relations and 2471130 ideals in 1000000 cliques
  78. Sat May 10 20:56:16 2025 commencing in-memory singleton removal
  79. Sat May 10 20:56:17 2025 begin with 24201763 relations and 25456994 unique ideals
  80. Sat May 10 20:56:18 2025 reduce to 23894115 relations and 22668756 ideals in 7 passes
  81. Sat May 10 20:56:18 2025 max relations containing the same ideal: 95
  82. Sat May 10 20:56:22 2025 removing 2724538 relations and 1979236 ideals in 745302 cliques
  83. Sat May 10 20:56:23 2025 commencing in-memory singleton removal
  84. Sat May 10 20:56:23 2025 begin with 21169577 relations and 22668756 unique ideals
  85. Sat May 10 20:56:24 2025 reduce to 20952925 relations and 20466882 ideals in 7 passes
  86. Sat May 10 20:56:24 2025 max relations containing the same ideal: 86
  87. Sat May 10 20:56:30 2025 relations with 0 large ideals: 14559
  88. Sat May 10 20:56:30 2025 relations with 1 large ideals: 8050
  89. Sat May 10 20:56:30 2025 relations with 2 large ideals: 72704
  90. Sat May 10 20:56:30 2025 relations with 3 large ideals: 499953
  91. Sat May 10 20:56:30 2025 relations with 4 large ideals: 1848375
  92. Sat May 10 20:56:30 2025 relations with 5 large ideals: 4072584
  93. Sat May 10 20:56:30 2025 relations with 6 large ideals: 5583292
  94. Sat May 10 20:56:30 2025 relations with 7+ large ideals: 8853408
  95. Sat May 10 20:56:30 2025 commencing 2-way merge
  96. Sat May 10 20:56:36 2025 reduce to 13846084 relation sets and 13360041 unique ideals
  97. Sat May 10 20:56:36 2025 commencing full merge
  98. Sat May 10 20:59:30 2025 memory use: 1783.9 MB
  99. Sat May 10 20:59:31 2025 found 6364435 cycles, need 6330241
  100. Sat May 10 20:59:32 2025 weight of 6330241 cycles is about 696847095 (110.08/cycle)
  101. Sat May 10 20:59:32 2025 distribution of cycle lengths:
  102. Sat May 10 20:59:32 2025 1 relations: 279989
  103. Sat May 10 20:59:32 2025 2 relations: 414421
  104. Sat May 10 20:59:32 2025 3 relations: 485115
  105. Sat May 10 20:59:32 2025 4 relations: 496006
  106. Sat May 10 20:59:32 2025 5 relations: 504743
  107. Sat May 10 20:59:32 2025 6 relations: 489681
  108. Sat May 10 20:59:32 2025 7 relations: 472150
  109. Sat May 10 20:59:32 2025 8 relations: 443535
  110. Sat May 10 20:59:32 2025 9 relations: 411700
  111. Sat May 10 20:59:32 2025 10+ relations: 2332901
  112. Sat May 10 20:59:32 2025 heaviest cycle: 28 relations
  113. Sat May 10 20:59:33 2025 commencing cycle optimization
  114. Sat May 10 20:59:41 2025 start with 53462195 relations
  115. Sat May 10 21:01:00 2025 pruned 2375851 relations
  116. Sat May 10 21:01:00 2025 memory use: 1421.2 MB
  117. Sat May 10 21:01:01 2025 distribution of cycle lengths:
  118. Sat May 10 21:01:01 2025 1 relations: 279989
  119. Sat May 10 21:01:01 2025 2 relations: 424923
  120. Sat May 10 21:01:01 2025 3 relations: 506423
  121. Sat May 10 21:01:01 2025 4 relations: 516876
  122. Sat May 10 21:01:01 2025 5 relations: 529877
  123. Sat May 10 21:01:01 2025 6 relations: 512167
  124. Sat May 10 21:01:01 2025 7 relations: 495455
  125. Sat May 10 21:01:01 2025 8 relations: 462269
  126. Sat May 10 21:01:01 2025 9 relations: 428475
  127. Sat May 10 21:01:01 2025 10+ relations: 2173787
  128. Sat May 10 21:01:01 2025 heaviest cycle: 28 relations
  129. Sat May 10 21:01:06 2025 RelProcTime: 581
  130. Sat May 10 21:01:06 2025 elapsed time 00:09:42
  131. Sat May 10 21:01:10 2025
  132. Sat May 10 21:01:10 2025
  133. Sat May 10 21:01:10 2025 Msieve v. 1.54 (SVN 66ed352)
  134. Sat May 10 21:01:10 2025 random seeds: e24235df e7cde70d
  135. Sat May 10 21:01:10 2025 MPI process 0 of 2
  136. Sat May 10 21:01:10 2025 Using 8 OpenMP threads
  137. Sat May 10 21:01:10 2025 factoring 22188870752775259075891207511769402972439843043018197378795653202224891941805563184665426983631433603930581529830832895780985175061160165486997302054434916391081866099417942089180291354599750134587246125102467 (209 digits)
  138. Sat May 10 21:01:10 2025 no P-1/P+1/ECM available, skipping
  139. Sat May 10 21:01:10 2025 commencing number field sieve (209-digit input)
  140. Sat May 10 21:01:10 2025 R0: -1
  141. Sat May 10 21:01:10 2025 R1: 868121851349559756719478616692203651
  142. Sat May 10 21:01:10 2025 A0: -15406931
  143. Sat May 10 21:01:10 2025 A1: 0
  144. Sat May 10 21:01:10 2025 A2: 0
  145. Sat May 10 21:01:10 2025 A3: 0
  146. Sat May 10 21:01:10 2025 A4: 0
  147. Sat May 10 21:01:10 2025 A5: 0
  148. Sat May 10 21:01:10 2025 A6: 1
  149. Sat May 10 21:01:10 2025 skew 19.97, size 1.630e-11, alpha -0.286, combined = 9.211e-13 rroots = 2
  150. Sat May 10 21:01:10 2025
  151. Sat May 10 21:01:10 2025 commencing linear algebra
  152. Sat May 10 21:01:10 2025 using VBITS=256
  153. Sat May 10 21:01:10 2025 initialized process (0,0) of 1 x 2 grid
  154. Sat May 10 21:01:11 2025 read 6330241 cycles
  155. Sat May 10 21:01:18 2025 cycles contain 20649390 unique relations
  156. Sat May 10 21:01:26 2025 read 20649390 relations
  157. Sat May 10 21:01:29 2025 using 20 quadratic characters above 4294917295
  158. Sat May 10 21:01:35 2025 building initial matrix
  159. Sat May 10 21:03:57 2025 memory use: 2729.3 MB
  160. Sat May 10 21:04:00 2025 read 6330241 cycles
  161. Sat May 10 21:04:01 2025 matrix is 6330063 x 6330241 (2768.1 MB) with weight 815219933 (128.78/col)
  162. Sat May 10 21:04:01 2025 sparse part has weight 656000103 (103.63/col)
  163. Sat May 10 21:04:42 2025 filtering completed in 2 passes
  164. Sat May 10 21:04:43 2025 matrix is 6329830 x 6330004 (2768.0 MB) with weight 815210095 (128.79/col)
  165. Sat May 10 21:04:43 2025 sparse part has weight 655996673 (103.63/col)
  166. Sat May 10 21:04:57 2025 matrix starts at (0, 0)
  167. Sat May 10 21:04:58 2025 matrix is 6329830 x 3164995 (1384.0 MB) with weight 407612858 (128.79/col)
  168. Sat May 10 21:04:58 2025 sparse part has weight 327998485 (103.63/col)
  169. Sat May 10 21:04:58 2025 saving the first 240 matrix rows for later
  170. Sat May 10 21:04:58 2025 matrix includes 256 packed rows
  171. Sat May 10 21:05:01 2025 matrix is 6329590 x 3164995 (1262.1 MB) with weight 295952809 (93.51/col)
  172. Sat May 10 21:05:01 2025 sparse part has weight 280207147 (88.53/col)
  173. Sat May 10 21:05:01 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  174. Sat May 10 21:05:01 2025 selected card has CUDA arch 8.6
  175. Sat May 10 21:05:18 2025 commencing Lanczos iteration
  176. Sat May 10 21:05:19 2025 memory use: 3236.5 MB
  177. Sat May 10 21:05:29 2025 linear algebra at 0.5%, ETA 0h34m
  178. Sat May 10 21:05:43 2025 checking every 190000 dimensions, checkpointing every 11590000 dimensions
  179. Sat May 10 21:37:40 2025 lanczos halted after 24801 iterations (dim = 6329585)
  180. Sat May 10 21:38:05 2025 recovered 31 nontrivial dependencies
  181. Sat May 10 21:38:05 2025 BLanczosTime: 2215
  182. Sat May 10 21:38:05 2025 elapsed time 00:36:55
  183. Sat May 10 21:39:34 2025
  184. Sat May 10 21:39:34 2025
  185. Sat May 10 21:39:34 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  186. Sat May 10 21:39:34 2025 random seeds: 06bde05a ba6e482b
  187. Sat May 10 21:39:34 2025 Using 16 OpenMP threads
  188. Sat May 10 21:39:34 2025 factoring 22188870752775259075891207511769402972439843043018197378795653202224891941805563184665426983631433603930581529830832895780985175061160165486997302054434916391081866099417942089180291354599750134587246125102467 (209 digits)
  189. Sat May 10 21:39:35 2025 no P-1/P+1/ECM available, skipping
  190. Sat May 10 21:39:35 2025 commencing number field sieve (209-digit input)
  191. Sat May 10 21:39:35 2025 R0: -1
  192. Sat May 10 21:39:35 2025 R1: 868121851349559756719478616692203651
  193. Sat May 10 21:39:35 2025 A0: -15406931
  194. Sat May 10 21:39:35 2025 A1: 0
  195. Sat May 10 21:39:35 2025 A2: 0
  196. Sat May 10 21:39:35 2025 A3: 0
  197. Sat May 10 21:39:35 2025 A4: 0
  198. Sat May 10 21:39:35 2025 A5: 0
  199. Sat May 10 21:39:35 2025 A6: 1
  200. Sat May 10 21:39:35 2025 skew 19.97, size 1.630e-11, alpha -0.286, combined = 9.211e-13 rroots = 2
  201. Sat May 10 21:39:35 2025
  202. Sat May 10 21:39:35 2025 commencing square root phase
  203. Sat May 10 21:39:35 2025 reading relations for dependency 1
  204. Sat May 10 21:39:35 2025 read 3168098 cycles
  205. Sat May 10 21:39:41 2025 cycles contain 10327522 unique relations
  206. Sat May 10 21:39:50 2025 read 10327522 relations
  207. Sat May 10 21:40:16 2025 multiplying 10327522 relations
  208. Sat May 10 21:40:40 2025 multiply complete, coefficients have about 271.98 million bits
  209. Sat May 10 21:40:40 2025 initial square root is modulo 75913
  210. Sat May 10 21:41:31 2025 GCD is 1, no factor found
  211. Sat May 10 21:41:31 2025 reading relations for dependency 2
  212. Sat May 10 21:41:32 2025 read 3163222 cycles
  213. Sat May 10 21:41:35 2025 cycles contain 10319356 unique relations
  214. Sat May 10 21:41:39 2025 read 10319356 relations
  215. Sat May 10 21:41:59 2025 multiplying 10319356 relations
  216. Sat May 10 21:42:23 2025 multiply complete, coefficients have about 271.76 million bits
  217. Sat May 10 21:42:23 2025 initial square root is modulo 75289
  218. Sat May 10 21:43:15 2025 sqrtTime: 220
  219. Sat May 10 21:43:15 2025 p87 factor: 755421724716980016776623406979426849162263377891624158893547014684190629447491678495997
  220. Sat May 10 21:43:15 2025 p122 factor: 29372825835910869191899219290507408086470367451462227067166838194030639227950499549503554984709503811167474213892816784511
  221. Sat May 10 21:43:15 2025 elapsed time 00:03:41
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