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C169_8904_i2835 postprocessing log

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Sep 27th, 2026
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  1. Sat Sep 26 08:59:15 2026
  2. Sat Sep 26 08:59:15 2026
  3. Sat Sep 26 08:59:15 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Sep 26 08:59:15 2026 random seeds: f3a39f8a 41132ed8
  5. Sat Sep 26 08:59:15 2026 MPI process 0 of 1
  6. Sat Sep 26 08:59:15 2026 Using 32 OpenMP threads
  7. Sat Sep 26 08:59:15 2026 factoring 2439658348477201658503671742314092701818672663020959642511156583486169282265007384100387206586511533357459616054031504738976207353297843342347087207665353995009019933343 (169 digits)
  8. Sat Sep 26 08:59:16 2026 searching for 15-digit factors
  9. Sat Sep 26 08:59:17 2026 commencing number field sieve (169-digit input)
  10. Sat Sep 26 08:59:17 2026 R0: -481625555118168218251794620658464
  11. Sat Sep 26 08:59:17 2026 R1: 198249919422565614111899
  12. Sat Sep 26 08:59:17 2026 A0: 73386245711585200159054381582498916684925
  13. Sat Sep 26 08:59:17 2026 A1: 41033712160025756694720656702905575
  14. Sat Sep 26 08:59:17 2026 A2: -402756944472240185688798182
  15. Sat Sep 26 08:59:17 2026 A3: -240565349448018749258
  16. Sat Sep 26 08:59:17 2026 A4: 2289329900232
  17. Sat Sep 26 08:59:17 2026 A5: 93240
  18. Sat Sep 26 08:59:17 2026 skew 24126302.15, size 2.568e-16, alpha -7.697, combined = 5.151e-13 rroots = 5
  19. Sat Sep 26 08:59:17 2026
  20. Sat Sep 26 08:59:17 2026 commencing relation filtering
  21. Sat Sep 26 08:59:17 2026 setting target matrix density to 130.0
  22. Sat Sep 26 08:59:17 2026 estimated available RAM is 257736.5 MB
  23. Sat Sep 26 08:59:17 2026 commencing duplicate removal, pass 1
  24. Sat Sep 26 09:13:19 2026 skipped 77 malformed relations
  25. Sat Sep 26 09:13:19 2026 found 61946956 hash collisions in 314566582 relations
  26. Sat Sep 26 09:14:00 2026 added 121932 free relations
  27. Sat Sep 26 09:14:00 2026 commencing duplicate removal, pass 2
  28. Sat Sep 26 09:25:48 2026 found 64787942 duplicates and 249900572 unique relations
  29. Sat Sep 26 09:25:48 2026 memory use: 1705.5 MB
  30. Sat Sep 26 09:25:48 2026 reading ideals above 720000
  31. Sat Sep 26 09:25:48 2026 commencing singleton removal, initial pass
  32. Sat Sep 26 10:13:03 2026 memory use: 6024.0 MB
  33. Sat Sep 26 10:13:04 2026 reading all ideals from disk
  34. Sat Sep 26 10:13:13 2026 memory use: 11537.9 MB
  35. Sat Sep 26 10:14:28 2026 keeping 238863953 ideals with weight <= 200, target excess is 1185509
  36. Sat Sep 26 10:15:56 2026 commencing in-memory singleton removal
  37. Sat Sep 26 10:16:01 2026 begin with 249900572 relations and 238863953 unique ideals
  38. Sat Sep 26 10:16:27 2026 reduce to 142550971 relations and 118766372 ideals in 15 passes
  39. Sat Sep 26 10:16:27 2026 max relations containing the same ideal: 147
  40. Sat Sep 26 10:18:31 2026 removing 12752967 relations and 10752967 ideals in 2000000 cliques
  41. Sat Sep 26 10:18:40 2026 commencing in-memory singleton removal
  42. Sat Sep 26 10:18:45 2026 begin with 129798004 relations and 118766372 unique ideals
  43. Sat Sep 26 10:18:57 2026 reduce to 128893942 relations and 107092432 ideals in 10 passes
  44. Sat Sep 26 10:18:57 2026 max relations containing the same ideal: 137
  45. Sat Sep 26 10:20:40 2026 removing 9641548 relations and 7641548 ideals in 2000000 cliques
  46. Sat Sep 26 10:20:48 2026 commencing in-memory singleton removal
  47. Sat Sep 26 10:20:51 2026 begin with 119252394 relations and 107092432 unique ideals
  48. Sat Sep 26 10:21:01 2026 reduce to 118657086 relations and 98845991 ideals in 8 passes
  49. Sat Sep 26 10:21:01 2026 max relations containing the same ideal: 131
  50. Sat Sep 26 10:22:37 2026 removing 8703213 relations and 6703213 ideals in 2000000 cliques
  51. Sat Sep 26 10:22:44 2026 commencing in-memory singleton removal
  52. Sat Sep 26 10:22:47 2026 begin with 109953873 relations and 98845991 unique ideals
  53. Sat Sep 26 10:22:56 2026 reduce to 109424086 relations and 91604499 ideals in 9 passes
  54. Sat Sep 26 10:22:56 2026 max relations containing the same ideal: 122
  55. Sat Sep 26 10:24:37 2026 removing 8219004 relations and 6219004 ideals in 2000000 cliques
  56. Sat Sep 26 10:24:45 2026 commencing in-memory singleton removal
  57. Sat Sep 26 10:24:47 2026 begin with 101205082 relations and 91604499 unique ideals
  58. Sat Sep 26 10:24:57 2026 reduce to 100694560 relations and 84866343 ideals in 11 passes
  59. Sat Sep 26 10:24:57 2026 max relations containing the same ideal: 118
  60. Sat Sep 26 10:26:31 2026 removing 7931961 relations and 5931961 ideals in 2000000 cliques
  61. Sat Sep 26 10:26:37 2026 commencing in-memory singleton removal
  62. Sat Sep 26 10:26:40 2026 begin with 92762599 relations and 84866343 unique ideals
  63. Sat Sep 26 10:26:47 2026 reduce to 92251461 relations and 78413967 ideals in 7 passes
  64. Sat Sep 26 10:26:47 2026 max relations containing the same ideal: 113
  65. Sat Sep 26 10:28:08 2026 removing 7752559 relations and 5752559 ideals in 2000000 cliques
  66. Sat Sep 26 10:28:14 2026 commencing in-memory singleton removal
  67. Sat Sep 26 10:28:16 2026 begin with 84498902 relations and 78413967 unique ideals
  68. Sat Sep 26 10:28:23 2026 reduce to 83969729 relations and 72121938 ideals in 8 passes
  69. Sat Sep 26 10:28:23 2026 max relations containing the same ideal: 105
  70. Sat Sep 26 10:29:36 2026 removing 7649047 relations and 5649047 ideals in 2000000 cliques
  71. Sat Sep 26 10:29:42 2026 commencing in-memory singleton removal
  72. Sat Sep 26 10:29:44 2026 begin with 76320682 relations and 72121938 unique ideals
  73. Sat Sep 26 10:29:50 2026 reduce to 75758895 relations and 65899233 ideals in 9 passes
  74. Sat Sep 26 10:29:50 2026 max relations containing the same ideal: 98
  75. Sat Sep 26 10:30:54 2026 removing 7602755 relations and 5602755 ideals in 2000000 cliques
  76. Sat Sep 26 10:31:00 2026 commencing in-memory singleton removal
  77. Sat Sep 26 10:31:01 2026 begin with 68156140 relations and 65899233 unique ideals
  78. Sat Sep 26 10:31:07 2026 reduce to 67539130 relations and 59665259 ideals in 9 passes
  79. Sat Sep 26 10:31:07 2026 max relations containing the same ideal: 91
  80. Sat Sep 26 10:32:07 2026 removing 7613540 relations and 5613540 ideals in 2000000 cliques
  81. Sat Sep 26 10:32:12 2026 commencing in-memory singleton removal
  82. Sat Sep 26 10:32:14 2026 begin with 59925590 relations and 59665259 unique ideals
  83. Sat Sep 26 10:32:18 2026 reduce to 59228546 relations and 53336854 ideals in 8 passes
  84. Sat Sep 26 10:32:18 2026 max relations containing the same ideal: 82
  85. Sat Sep 26 10:33:12 2026 removing 7675766 relations and 5675766 ideals in 2000000 cliques
  86. Sat Sep 26 10:33:17 2026 commencing in-memory singleton removal
  87. Sat Sep 26 10:33:18 2026 begin with 51552780 relations and 53336854 unique ideals
  88. Sat Sep 26 10:33:22 2026 reduce to 50732346 relations and 46816691 ideals in 9 passes
  89. Sat Sep 26 10:33:22 2026 max relations containing the same ideal: 72
  90. Sat Sep 26 10:34:08 2026 removing 7798930 relations and 5798930 ideals in 2000000 cliques
  91. Sat Sep 26 10:34:12 2026 commencing in-memory singleton removal
  92. Sat Sep 26 10:34:13 2026 begin with 42933416 relations and 46816691 unique ideals
  93. Sat Sep 26 10:34:16 2026 reduce to 41914247 relations and 39963411 ideals in 10 passes
  94. Sat Sep 26 10:34:16 2026 max relations containing the same ideal: 64
  95. Sat Sep 26 10:34:53 2026 removing 3084834 relations and 2509189 ideals in 575645 cliques
  96. Sat Sep 26 10:34:55 2026 commencing in-memory singleton removal
  97. Sat Sep 26 10:34:56 2026 begin with 38829413 relations and 39963411 unique ideals
  98. Sat Sep 26 10:34:59 2026 reduce to 38656286 relations and 37278950 ideals in 8 passes
  99. Sat Sep 26 10:34:59 2026 max relations containing the same ideal: 62
  100. Sat Sep 26 10:35:41 2026 relations with 0 large ideals: 4165
  101. Sat Sep 26 10:35:41 2026 relations with 1 large ideals: 41479
  102. Sat Sep 26 10:35:41 2026 relations with 2 large ideals: 509871
  103. Sat Sep 26 10:35:41 2026 relations with 3 large ideals: 2583229
  104. Sat Sep 26 10:35:41 2026 relations with 4 large ideals: 6895375
  105. Sat Sep 26 10:35:41 2026 relations with 5 large ideals: 10683031
  106. Sat Sep 26 10:35:41 2026 relations with 6 large ideals: 10023326
  107. Sat Sep 26 10:35:41 2026 relations with 7+ large ideals: 7915810
  108. Sat Sep 26 10:35:41 2026 commencing 2-way merge
  109. Sat Sep 26 10:36:24 2026 reduce to 23213664 relation sets and 21836328 unique ideals
  110. Sat Sep 26 10:36:24 2026 commencing full merge
  111. Sat Sep 26 10:53:07 2026 memory use: 2577.0 MB
  112. Sat Sep 26 10:53:12 2026 found 9732316 cycles, need 9730528
  113. Sat Sep 26 10:53:17 2026 weight of 9730528 cycles is about 1265724313 (130.08/cycle)
  114. Sat Sep 26 10:53:17 2026 distribution of cycle lengths:
  115. Sat Sep 26 10:53:17 2026 1 relations: 629581
  116. Sat Sep 26 10:53:17 2026 2 relations: 609379
  117. Sat Sep 26 10:53:17 2026 3 relations: 614318
  118. Sat Sep 26 10:53:17 2026 4 relations: 603740
  119. Sat Sep 26 10:53:17 2026 5 relations: 603488
  120. Sat Sep 26 10:53:17 2026 6 relations: 594406
  121. Sat Sep 26 10:53:17 2026 7 relations: 586685
  122. Sat Sep 26 10:53:17 2026 8 relations: 567749
  123. Sat Sep 26 10:53:17 2026 9 relations: 543658
  124. Sat Sep 26 10:53:17 2026 10+ relations: 4377524
  125. Sat Sep 26 10:53:17 2026 heaviest cycle: 28 relations
  126. Sat Sep 26 10:53:23 2026 commencing cycle optimization
  127. Sat Sep 26 10:54:11 2026 start with 93571787 relations
  128. Sat Sep 26 11:01:31 2026 pruned 3977413 relations
  129. Sat Sep 26 11:01:31 2026 memory use: 2517.1 MB
  130. Sat Sep 26 11:01:31 2026 distribution of cycle lengths:
  131. Sat Sep 26 11:01:31 2026 1 relations: 629581
  132. Sat Sep 26 11:01:31 2026 2 relations: 624685
  133. Sat Sep 26 11:01:31 2026 3 relations: 638442
  134. Sat Sep 26 11:01:31 2026 4 relations: 626088
  135. Sat Sep 26 11:01:31 2026 5 relations: 629534
  136. Sat Sep 26 11:01:31 2026 6 relations: 619193
  137. Sat Sep 26 11:01:31 2026 7 relations: 613448
  138. Sat Sep 26 11:01:31 2026 8 relations: 592304
  139. Sat Sep 26 11:01:31 2026 9 relations: 568944
  140. Sat Sep 26 11:01:31 2026 10+ relations: 4188309
  141. Sat Sep 26 11:01:31 2026 heaviest cycle: 28 relations
  142. Sat Sep 26 11:02:05 2026 RelProcTime: 7368
  143. Sat Sep 26 11:02:05 2026
  144. Sat Sep 26 11:02:05 2026 commencing linear algebra
  145. Sat Sep 26 11:02:05 2026 using VBITS=256
  146. Sat Sep 26 11:02:05 2026 stopping after matrix build
  147. Sat Sep 26 11:02:05 2026 initialized process (0,0) of 1 x 1 grid
  148. Sat Sep 26 11:02:07 2026 read 9730528 cycles
  149. Sat Sep 26 11:02:51 2026 cycles contain 37699036 unique relations
  150. Sat Sep 26 11:10:25 2026 read 37699036 relations
  151. Sat Sep 26 11:10:30 2026 using 20 quadratic characters above 4294917295
  152. Sat Sep 26 11:10:36 2026 building initial matrix
  153. Sat Sep 26 11:27:53 2026 memory use: 5003.4 MB
  154. Sat Sep 26 11:28:08 2026 read 9730528 cycles
  155. Sat Sep 26 11:28:11 2026 matrix is 9730351 x 9730528 (4940.7 MB) with weight 1497378511 (153.88/col)
  156. Sat Sep 26 11:28:11 2026 sparse part has weight 1178418793 (121.11/col)
  157. Sat Sep 26 11:32:53 2026 filtering completed in 2 passes
  158. Sat Sep 26 11:32:58 2026 matrix is 9730190 x 9730367 (4940.7 MB) with weight 1497370770 (153.89/col)
  159. Sat Sep 26 11:32:58 2026 sparse part has weight 1178416901 (121.11/col)
  160. Sat Sep 26 11:34:27 2026 BLanczosTime: 1942
  161. Sat Sep 26 11:34:27 2026 elapsed time 02:35:12
  162. Sat Sep 26 14:16:01 2026
  163. Sat Sep 26 14:16:01 2026
  164. Sat Sep 26 14:16:01 2026 Msieve v. 1.54 (SVN Unversioned directory)
  165. Sat Sep 26 14:16:01 2026 random seeds: e14f0fc7 9da9a6e8
  166. Sat Sep 26 14:16:01 2026 MPI process 0 of 1
  167. Sat Sep 26 14:16:01 2026 Using 64 OpenMP threads
  168. Sat Sep 26 14:16:01 2026 factoring 2439658348477201658503671742314092701818672663020959642511156583486169282265007384100387206586511533357459616054031504738976207353297843342347087207665353995009019933343 (169 digits)
  169. Sat Sep 26 14:16:02 2026 searching for 15-digit factors
  170. Sat Sep 26 14:16:02 2026 commencing number field sieve (169-digit input)
  171. Sat Sep 26 14:16:02 2026 R0: -481625555118168218251794620658464
  172. Sat Sep 26 14:16:02 2026 R1: 198249919422565614111899
  173. Sat Sep 26 14:16:02 2026 A0: 73386245711585200159054381582498916684925
  174. Sat Sep 26 14:16:02 2026 A1: 41033712160025756694720656702905575
  175. Sat Sep 26 14:16:02 2026 A2: -402756944472240185688798182
  176. Sat Sep 26 14:16:02 2026 A3: -240565349448018749258
  177. Sat Sep 26 14:16:02 2026 A4: 2289329900232
  178. Sat Sep 26 14:16:02 2026 A5: 93240
  179. Sat Sep 26 14:16:02 2026 skew 24126302.15, size 2.568e-16, alpha -7.697, combined = 5.151e-13 rroots = 5
  180. Sat Sep 26 14:16:02 2026
  181. Sat Sep 26 14:16:02 2026 commencing linear algebra
  182. Sat Sep 26 14:16:02 2026 using VBITS=256
  183. Sat Sep 26 14:16:02 2026 skipping matrix build
  184. Sat Sep 26 14:16:02 2026 initialized process (0,0) of 1 x 1 grid
  185. Sat Sep 26 14:16:07 2026 matrix starts at (0, 0)
  186. Sat Sep 26 14:16:09 2026 matrix is 9730190 x 9730367 (4940.7 MB) with weight 1497370770 (153.89/col)
  187. Sat Sep 26 14:16:09 2026 sparse part has weight 1178416901 (121.11/col)
  188. Sat Sep 26 14:16:09 2026 saving the first 240 matrix rows for later
  189. Sat Sep 26 14:16:11 2026 matrix includes 256 packed rows
  190. Sat Sep 26 14:16:14 2026 matrix is 9729950 x 9730367 (4443.7 MB) with weight 1077381105 (110.72/col)
  191. Sat Sep 26 14:16:14 2026 sparse part has weight 1009207747 (103.72/col)
  192. Sat Sep 26 14:16:14 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  193. Sat Sep 26 14:16:36 2026 commencing Lanczos iteration (64 threads)
  194. Sat Sep 26 14:16:36 2026 memory use: 6269.1 MB
  195. Sat Sep 26 14:17:58 2026 linear algebra at 0.3%, ETA 7h 7m
  196. Sat Sep 26 14:19:57 2026 checking every 20000 dimensions, checkpointing every 1400000 dimensions
  197. Sat Sep 26 21:13:11 2026 lanczos halted after 38123 iterations (dim = 9729950)
  198. Sat Sep 26 21:13:42 2026 recovered 28 nontrivial dependencies
  199. Sat Sep 26 21:13:42 2026 BLanczosTime: 25060
  200. Sat Sep 26 21:13:42 2026
  201. Sat Sep 26 21:13:42 2026 commencing square root phase
  202. Sat Sep 26 21:13:42 2026 handling dependencies 1 to 64
  203. Sat Sep 26 21:13:42 2026 reading relations for dependency 1
  204. Sat Sep 26 21:13:43 2026 read 4865668 cycles
  205. Sat Sep 26 21:13:51 2026 cycles contain 18856834 unique relations
  206. Sat Sep 26 21:20:39 2026 read 18856834 relations
  207. Sat Sep 26 21:23:35 2026 multiplying 18856834 relations
  208. Sat Sep 26 21:27:22 2026 multiply complete, coefficients have about 1016.50 million bits
  209. Sat Sep 26 21:27:27 2026 initial square root is modulo 1316849333
  210. Sat Sep 26 21:40:40 2026 sqrtTime: 1618
  211. Sat Sep 26 21:40:40 2026 p83 factor: 54825567200224872711740380685643970821401840033942056790813337307373880587587208551
  212. Sat Sep 26 21:40:40 2026 p86 factor: 44498551917711763289617472134562191537896950394793501250355519718058083650334981533193
  213. Sat Sep 26 21:40:40 2026 elapsed time 07:24:39
  214.  
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