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Oct 28th, 2025
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  1. Mon Oct 27 07:54:50 2025
  2. Mon Oct 27 07:54:50 2025
  3. Mon Oct 27 07:54:50 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Oct 27 07:54:50 2025 random seeds: a2f0768d 9900a2b9
  5. Mon Oct 27 07:54:50 2025 MPI process 0 of 1
  6. Mon Oct 27 07:54:50 2025 Using 32 OpenMP threads
  7. Mon Oct 27 07:54:50 2025 factoring 707769755435808161534801720433828376163246857807857648982666722555139745996314329384600497581804888346339774324266621217739035989487443391105285321234200213266511614029492013317 (177 digits)
  8. Mon Oct 27 07:54:51 2025 searching for 15-digit factors
  9. Mon Oct 27 07:54:51 2025 commencing number field sieve (177-digit input)
  10. Mon Oct 27 07:54:51 2025 R0: -12965312575427876757025812535691500
  11. Mon Oct 27 07:54:51 2025 R1: 93598682863232605283337229
  12. Mon Oct 27 07:54:51 2025 A0: 160802740317964733445066421688420823552399
  13. Mon Oct 27 07:54:51 2025 A1: 19503969040946504661071903309441153
  14. Mon Oct 27 07:54:51 2025 A2: -31093693492801370937089798721
  15. Mon Oct 27 07:54:51 2025 A3: 2173405050575858226487
  16. Mon Oct 27 07:54:51 2025 A4: 500746701797682
  17. Mon Oct 27 07:54:51 2025 A5: 2079000
  18. Mon Oct 27 07:54:51 2025 skew 8910133.01, size 3.333e-17, alpha -7.936, combined = 1.499e-13 rroots = 3
  19. Mon Oct 27 07:54:51 2025
  20. Mon Oct 27 07:54:51 2025 commencing relation filtering
  21. Mon Oct 27 07:54:51 2025 setting target matrix density to 130.0
  22. Mon Oct 27 07:54:51 2025 estimated available RAM is 257736.5 MB
  23. Mon Oct 27 07:54:51 2025 commencing duplicate removal, pass 1
  24. Mon Oct 27 07:57:47 2025 error -1 reading relation 72396878
  25. Mon Oct 27 08:01:03 2025 error -15 reading relation 153877338
  26. Mon Oct 27 08:01:04 2025 error -15 reading relation 154347147
  27. Mon Oct 27 08:01:57 2025 error -1 reading relation 175490907
  28. Mon Oct 27 08:03:33 2025 error -15 reading relation 215079063
  29. Mon Oct 27 08:03:34 2025 error -15 reading relation 215487928
  30. Mon Oct 27 08:03:34 2025 error -1 reading relation 215487929
  31. Mon Oct 27 08:03:35 2025 error -1 reading relation 215667441
  32. Mon Oct 27 08:03:41 2025 error -1 reading relation 218078121
  33. Mon Oct 27 08:04:15 2025 error -1 reading relation 231627160
  34. Mon Oct 27 08:04:35 2025 error -1 reading relation 240108184
  35. Mon Oct 27 08:04:49 2025 error -1 reading relation 246034222
  36. Mon Oct 27 08:06:19 2025 error -1 reading relation 282860388
  37. Mon Oct 27 08:07:03 2025 error -1 reading relation 300520259
  38. Mon Oct 27 08:07:23 2025 error -1 reading relation 307700851
  39. Mon Oct 27 08:09:22 2025 error -1 reading relation 356013573
  40. Mon Oct 27 08:09:53 2025 skipped 82 malformed relations
  41. Mon Oct 27 08:09:53 2025 found 69307876 hash collisions in 368977977 relations
  42. Mon Oct 27 08:10:32 2025 added 122531 free relations
  43. Mon Oct 27 08:10:32 2025 commencing duplicate removal, pass 2
  44. Mon Oct 27 08:23:17 2025 found 70095868 duplicates and 299004640 unique relations
  45. Mon Oct 27 08:23:17 2025 memory use: 1705.5 MB
  46. Mon Oct 27 08:23:17 2025 reading ideals above 720000
  47. Mon Oct 27 08:23:17 2025 commencing singleton removal, initial pass
  48. Mon Oct 27 09:04:13 2025 memory use: 6024.0 MB
  49. Mon Oct 27 09:04:14 2025 reading all ideals from disk
  50. Mon Oct 27 09:04:24 2025 memory use: 14358.2 MB
  51. Mon Oct 27 09:06:16 2025 keeping 299310718 ideals with weight <= 200, target excess is 1581156
  52. Mon Oct 27 09:08:26 2025 commencing in-memory singleton removal
  53. Mon Oct 27 09:08:34 2025 begin with 299004640 relations and 299310718 unique ideals
  54. Mon Oct 27 09:09:07 2025 reduce to 153144799 relations and 134461403 ideals in 17 passes
  55. Mon Oct 27 09:09:07 2025 max relations containing the same ideal: 135
  56. Mon Oct 27 09:11:07 2025 removing 14613466 relations and 12613466 ideals in 2000000 cliques
  57. Mon Oct 27 09:11:17 2025 commencing in-memory singleton removal
  58. Mon Oct 27 09:11:21 2025 begin with 138531333 relations and 134461403 unique ideals
  59. Mon Oct 27 09:11:34 2025 reduce to 137412529 relations and 120709557 ideals in 10 passes
  60. Mon Oct 27 09:11:34 2025 max relations containing the same ideal: 125
  61. Mon Oct 27 09:13:42 2025 removing 11027106 relations and 9027106 ideals in 2000000 cliques
  62. Mon Oct 27 09:13:50 2025 commencing in-memory singleton removal
  63. Mon Oct 27 09:13:54 2025 begin with 126385423 relations and 120709557 unique ideals
  64. Mon Oct 27 09:14:05 2025 reduce to 125644365 relations and 110929983 ideals in 10 passes
  65. Mon Oct 27 09:14:05 2025 max relations containing the same ideal: 118
  66. Mon Oct 27 09:15:46 2025 removing 9946737 relations and 7946737 ideals in 2000000 cliques
  67. Mon Oct 27 09:15:53 2025 commencing in-memory singleton removal
  68. Mon Oct 27 09:15:55 2025 begin with 115697628 relations and 110929983 unique ideals
  69. Mon Oct 27 09:16:05 2025 reduce to 115030748 relations and 102306316 ideals in 9 passes
  70. Mon Oct 27 09:16:05 2025 max relations containing the same ideal: 110
  71. Mon Oct 27 09:17:40 2025 removing 9403252 relations and 7403252 ideals in 2000000 cliques
  72. Mon Oct 27 09:17:47 2025 commencing in-memory singleton removal
  73. Mon Oct 27 09:17:50 2025 begin with 105627496 relations and 102306316 unique ideals
  74. Mon Oct 27 09:17:59 2025 reduce to 104975675 relations and 94240955 ideals in 8 passes
  75. Mon Oct 27 09:17:59 2025 max relations containing the same ideal: 106
  76. Mon Oct 27 09:19:31 2025 removing 9097804 relations and 7097804 ideals in 2000000 cliques
  77. Mon Oct 27 09:19:37 2025 commencing in-memory singleton removal
  78. Mon Oct 27 09:19:40 2025 begin with 95877871 relations and 94240955 unique ideals
  79. Mon Oct 27 09:19:47 2025 reduce to 95205907 relations and 86459567 ideals in 9 passes
  80. Mon Oct 27 09:19:47 2025 max relations containing the same ideal: 99
  81. Mon Oct 27 09:21:06 2025 removing 8925625 relations and 6925625 ideals in 2000000 cliques
  82. Mon Oct 27 09:21:12 2025 commencing in-memory singleton removal
  83. Mon Oct 27 09:21:15 2025 begin with 86280282 relations and 86459567 unique ideals
  84. Mon Oct 27 09:21:21 2025 reduce to 85563137 relations and 78803357 ideals in 8 passes
  85. Mon Oct 27 09:21:21 2025 max relations containing the same ideal: 91
  86. Mon Oct 27 09:22:28 2025 removing 8858317 relations and 6858317 ideals in 2000000 cliques
  87. Mon Oct 27 09:22:34 2025 commencing in-memory singleton removal
  88. Mon Oct 27 09:22:36 2025 begin with 76704820 relations and 78803357 unique ideals
  89. Mon Oct 27 09:22:43 2025 reduce to 75908521 relations and 71132309 ideals in 9 passes
  90. Mon Oct 27 09:22:43 2025 max relations containing the same ideal: 84
  91. Mon Oct 27 09:23:59 2025 removing 8888872 relations and 6888872 ideals in 2000000 cliques
  92. Mon Oct 27 09:24:05 2025 commencing in-memory singleton removal
  93. Mon Oct 27 09:24:06 2025 begin with 67019649 relations and 71132309 unique ideals
  94. Mon Oct 27 09:24:12 2025 reduce to 66089793 relations and 63292293 ideals in 9 passes
  95. Mon Oct 27 09:24:12 2025 max relations containing the same ideal: 79
  96. Mon Oct 27 09:25:16 2025 removing 5137167 relations and 4173808 ideals in 963359 cliques
  97. Mon Oct 27 09:25:21 2025 commencing in-memory singleton removal
  98. Mon Oct 27 09:25:22 2025 begin with 60952626 relations and 63292293 unique ideals
  99. Mon Oct 27 09:25:26 2025 reduce to 60622035 relations and 58783673 ideals in 9 passes
  100. Mon Oct 27 09:25:26 2025 max relations containing the same ideal: 74
  101. Mon Oct 27 09:26:31 2025 relations with 0 large ideals: 6136
  102. Mon Oct 27 09:26:31 2025 relations with 1 large ideals: 49859
  103. Mon Oct 27 09:26:31 2025 relations with 2 large ideals: 564264
  104. Mon Oct 27 09:26:31 2025 relations with 3 large ideals: 3012823
  105. Mon Oct 27 09:26:31 2025 relations with 4 large ideals: 8902768
  106. Mon Oct 27 09:26:31 2025 relations with 5 large ideals: 15630306
  107. Mon Oct 27 09:26:31 2025 relations with 6 large ideals: 16734403
  108. Mon Oct 27 09:26:31 2025 relations with 7+ large ideals: 15721476
  109. Mon Oct 27 09:26:31 2025 commencing 2-way merge
  110. Mon Oct 27 09:27:41 2025 reduce to 36272567 relation sets and 34434205 unique ideals
  111. Mon Oct 27 09:27:41 2025 commencing full merge
  112. Mon Oct 27 09:53:18 2025 memory use: 3668.2 MB
  113. Mon Oct 27 09:53:24 2025 found 15115474 cycles, need 15078405
  114. Mon Oct 27 09:53:32 2025 weight of 15078405 cycles is about 1960911802 (130.05/cycle)
  115. Mon Oct 27 09:53:32 2025 distribution of cycle lengths:
  116. Mon Oct 27 09:53:32 2025 1 relations: 1044603
  117. Mon Oct 27 09:53:32 2025 2 relations: 953312
  118. Mon Oct 27 09:53:32 2025 3 relations: 1006349
  119. Mon Oct 27 09:53:32 2025 4 relations: 1001692
  120. Mon Oct 27 09:53:32 2025 5 relations: 1016785
  121. Mon Oct 27 09:53:32 2025 6 relations: 982714
  122. Mon Oct 27 09:53:32 2025 7 relations: 951348
  123. Mon Oct 27 09:53:32 2025 8 relations: 909895
  124. Mon Oct 27 09:53:32 2025 9 relations: 866511
  125. Mon Oct 27 09:53:32 2025 10+ relations: 6345196
  126. Mon Oct 27 09:53:32 2025 heaviest cycle: 28 relations
  127. Mon Oct 27 09:53:39 2025 commencing cycle optimization
  128. Mon Oct 27 09:54:49 2025 start with 138362598 relations
  129. Mon Oct 27 10:01:20 2025 pruned 5222823 relations
  130. Mon Oct 27 10:01:21 2025 memory use: 3860.8 MB
  131. Mon Oct 27 10:01:21 2025 distribution of cycle lengths:
  132. Mon Oct 27 10:01:21 2025 1 relations: 1044603
  133. Mon Oct 27 10:01:21 2025 2 relations: 979173
  134. Mon Oct 27 10:01:21 2025 3 relations: 1045887
  135. Mon Oct 27 10:01:21 2025 4 relations: 1038501
  136. Mon Oct 27 10:01:21 2025 5 relations: 1057916
  137. Mon Oct 27 10:01:21 2025 6 relations: 1019860
  138. Mon Oct 27 10:01:21 2025 7 relations: 988681
  139. Mon Oct 27 10:01:21 2025 8 relations: 942801
  140. Mon Oct 27 10:01:21 2025 9 relations: 894936
  141. Mon Oct 27 10:01:21 2025 10+ relations: 6066047
  142. Mon Oct 27 10:01:21 2025 heaviest cycle: 28 relations
  143. Mon Oct 27 10:01:48 2025 RelProcTime: 7617
  144. Mon Oct 27 10:01:52 2025
  145. Mon Oct 27 10:01:52 2025 commencing linear algebra
  146. Mon Oct 27 10:01:52 2025 using VBITS=256
  147. Mon Oct 27 10:01:52 2025 stopping after matrix build
  148. Mon Oct 27 10:01:52 2025 initialized process (0,0) of 1 x 1 grid
  149. Mon Oct 27 10:01:54 2025 read 15078405 cycles
  150. Mon Oct 27 10:02:36 2025 cycles contain 59210921 unique relations
  151. Mon Oct 27 10:09:48 2025 read 59210921 relations
  152. Mon Oct 27 10:09:54 2025 using 20 quadratic characters above 4294917295
  153. Mon Oct 27 10:10:01 2025 building initial matrix
  154. Mon Oct 27 10:20:14 2025 memory use: 8110.0 MB
  155. Mon Oct 27 10:20:25 2025 read 15078405 cycles
  156. Mon Oct 27 10:20:27 2025 matrix is 15078227 x 15078405 (7668.5 MB) with weight 2330624049 (154.57/col)
  157. Mon Oct 27 10:20:27 2025 sparse part has weight 1829320211 (121.32/col)
  158. Mon Oct 27 10:23:59 2025 filtering completed in 2 passes
  159. Mon Oct 27 10:24:02 2025 matrix is 15077220 x 15077394 (7668.4 MB) with weight 2330572940 (154.57/col)
  160. Mon Oct 27 10:24:02 2025 sparse part has weight 1829305086 (121.33/col)
  161. Mon Oct 27 10:25:29 2025 BLanczosTime: 1417
  162. Mon Oct 27 10:25:29 2025 elapsed time 02:30:39
  163. Mon Oct 27 13:08:07 2025
  164. Mon Oct 27 13:08:07 2025
  165. Mon Oct 27 13:08:07 2025 Msieve v. 1.54 (SVN Unversioned directory)
  166. Mon Oct 27 13:08:07 2025 random seeds: 83f5a1ba faf5f565
  167. Mon Oct 27 13:08:07 2025 MPI process 0 of 1
  168. Mon Oct 27 13:08:07 2025 Using 64 OpenMP threads
  169. Mon Oct 27 13:08:07 2025 factoring 707769755435808161534801720433828376163246857807857648982666722555139745996314329384600497581804888346339774324266621217739035989487443391105285321234200213266511614029492013317 (177 digits)
  170. Mon Oct 27 13:08:07 2025 searching for 15-digit factors
  171. Mon Oct 27 13:08:08 2025 commencing number field sieve (177-digit input)
  172. Mon Oct 27 13:08:08 2025 R0: -12965312575427876757025812535691500
  173. Mon Oct 27 13:08:08 2025 R1: 93598682863232605283337229
  174. Mon Oct 27 13:08:08 2025 A0: 160802740317964733445066421688420823552399
  175. Mon Oct 27 13:08:08 2025 A1: 19503969040946504661071903309441153
  176. Mon Oct 27 13:08:08 2025 A2: -31093693492801370937089798721
  177. Mon Oct 27 13:08:08 2025 A3: 2173405050575858226487
  178. Mon Oct 27 13:08:08 2025 A4: 500746701797682
  179. Mon Oct 27 13:08:08 2025 A5: 2079000
  180. Mon Oct 27 13:08:08 2025 skew 8910133.01, size 3.333e-17, alpha -7.936, combined = 1.499e-13 rroots = 3
  181. Mon Oct 27 13:08:08 2025
  182. Mon Oct 27 13:08:08 2025 commencing linear algebra
  183. Mon Oct 27 13:08:08 2025 using VBITS=256
  184. Mon Oct 27 13:08:08 2025 skipping matrix build
  185. Mon Oct 27 13:08:08 2025 initialized process (0,0) of 1 x 1 grid
  186. Mon Oct 27 13:08:15 2025 matrix starts at (0, 0)
  187. Mon Oct 27 13:08:17 2025 matrix is 15077220 x 15077394 (7668.4 MB) with weight 2330572940 (154.57/col)
  188. Mon Oct 27 13:08:17 2025 sparse part has weight 1829305086 (121.33/col)
  189. Mon Oct 27 13:08:17 2025 saving the first 240 matrix rows for later
  190. Mon Oct 27 13:08:20 2025 matrix includes 256 packed rows
  191. Mon Oct 27 13:08:25 2025 matrix is 15076980 x 15077394 (6916.2 MB) with weight 1675542479 (111.13/col)
  192. Mon Oct 27 13:08:25 2025 sparse part has weight 1571798140 (104.25/col)
  193. Mon Oct 27 13:08:25 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  194. Mon Oct 27 13:09:00 2025 commencing Lanczos iteration (64 threads)
  195. Mon Oct 27 13:09:00 2025 memory use: 9776.3 MB
  196. Mon Oct 27 13:11:13 2025 linear algebra at 0.2%, ETA 17h52m
  197. Mon Oct 27 13:14:24 2025 checking every 10000 dimensions, checkpointing every 860000 dimensions
  198. Tue Oct 28 06:32:12 2025 lanczos halted after 59072 iterations (dim = 15076976)
  199. Tue Oct 28 06:34:15 2025 recovered 27 nontrivial dependencies
  200. Tue Oct 28 06:34:19 2025 BLanczosTime: 62771
  201. Tue Oct 28 06:34:19 2025
  202. Tue Oct 28 06:34:19 2025 commencing square root phase
  203. Tue Oct 28 06:34:19 2025 handling dependencies 1 to 64
  204. Tue Oct 28 06:34:19 2025 reading relations for dependency 1
  205. Tue Oct 28 06:34:22 2025 read 7538058 cycles
  206. Tue Oct 28 06:34:54 2025 cycles contain 29603076 unique relations
  207. Tue Oct 28 06:42:39 2025 read 29603076 relations
  208. Tue Oct 28 06:47:29 2025 multiplying 29603076 relations
  209. Tue Oct 28 06:54:04 2025 multiply complete, coefficients have about 1829.11 million bits
  210. Tue Oct 28 06:54:12 2025 initial square root is modulo 160275169
  211. Tue Oct 28 07:17:38 2025 sqrtTime: 2599
  212. Tue Oct 28 07:17:38 2025 p86 factor: 20864823050184462306892722643013451997611741686827025219795096239341840231865419185051
  213. Tue Oct 28 07:17:38 2025 p92 factor: 33921675431105603890137653904734645734402685167823935266654023091547106451051453637669119967
  214. Tue Oct 28 07:17:38 2025 elapsed time 18:09:31
  215.  
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