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Jan 15th, 2025
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  1. Tue Jan 14 22:49:03 2025
  2. Tue Jan 14 22:49:03 2025
  3. Tue Jan 14 22:49:03 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jan 14 22:49:03 2025 random seeds: c33a4e71 b03411c8
  5. Tue Jan 14 22:49:03 2025 MPI process 0 of 1
  6. Tue Jan 14 22:49:03 2025 Using 32 OpenMP threads
  7. Tue Jan 14 22:49:03 2025 factoring 3456456343238531165257760680981689923774062012660714570826198100411617888068448980972697867202817279549469496670638408936841927388635217715927066283734882742057 (160 digits)
  8. Tue Jan 14 22:49:04 2025 searching for 15-digit factors
  9. Tue Jan 14 22:49:04 2025 commencing number field sieve (160-digit input)
  10. Tue Jan 14 22:49:04 2025 R0: -8504367327153106274470278313443
  11. Tue Jan 14 22:49:04 2025 R1: 4074507865247963
  12. Tue Jan 14 22:49:04 2025 A0: -2791864383447254083269387274629877696
  13. Tue Jan 14 22:49:04 2025 A1: 92481566804011826133127042244168
  14. Tue Jan 14 22:49:04 2025 A2: -75949998112499772356088486
  15. Tue Jan 14 22:49:04 2025 A3: -10511892041084951192
  16. Tue Jan 14 22:49:04 2025 A4: 2089023941005
  17. Tue Jan 14 22:49:04 2025 A5: 77700
  18. Tue Jan 14 22:49:04 2025 skew 5509974.77, size 1.491e-15, alpha -6.296, combined = 1.437e-12 rroots = 5
  19. Tue Jan 14 22:49:04 2025
  20. Tue Jan 14 22:49:04 2025 commencing relation filtering
  21. Tue Jan 14 22:49:04 2025 setting target matrix density to 130.0
  22. Tue Jan 14 22:49:04 2025 estimated available RAM is 257736.5 MB
  23. Tue Jan 14 22:49:04 2025 commencing duplicate removal, pass 1
  24. Tue Jan 14 22:51:47 2025 error -1 reading relation 75396250
  25. Tue Jan 14 22:52:11 2025 error -1 reading relation 86159199
  26. Tue Jan 14 22:52:42 2025 error -1 reading relation 102399135
  27. Tue Jan 14 22:53:00 2025 error -1 reading relation 111939761
  28. Tue Jan 14 22:53:22 2025 error -1 reading relation 121772451
  29. Tue Jan 14 22:53:26 2025 error -1 reading relation 123206080
  30. Tue Jan 14 22:53:26 2025 error -1 reading relation 123425478
  31. Tue Jan 14 22:53:40 2025 skipped 81 malformed relations
  32. Tue Jan 14 22:53:40 2025 found 21577144 hash collisions in 130501924 relations
  33. Tue Jan 14 22:54:12 2025 added 121592 free relations
  34. Tue Jan 14 22:54:12 2025 commencing duplicate removal, pass 2
  35. Tue Jan 14 22:57:37 2025 found 21348870 duplicates and 109274646 unique relations
  36. Tue Jan 14 22:57:37 2025 memory use: 788.8 MB
  37. Tue Jan 14 22:57:38 2025 reading ideals above 720000
  38. Tue Jan 14 22:57:38 2025 commencing singleton removal, initial pass
  39. Tue Jan 14 23:05:20 2025 memory use: 2756.0 MB
  40. Tue Jan 14 23:05:21 2025 reading all ideals from disk
  41. Tue Jan 14 23:05:24 2025 memory use: 4895.9 MB
  42. Tue Jan 14 23:05:40 2025 keeping 91959040 ideals with weight <= 200, target excess is 570163
  43. Tue Jan 14 23:05:59 2025 commencing in-memory singleton removal
  44. Tue Jan 14 23:06:01 2025 begin with 109274646 relations and 91959040 unique ideals
  45. Tue Jan 14 23:06:10 2025 reduce to 77377696 relations and 57288061 ideals in 12 passes
  46. Tue Jan 14 23:06:10 2025 max relations containing the same ideal: 168
  47. Tue Jan 14 23:06:46 2025 removing 8038957 relations and 6038957 ideals in 2000000 cliques
  48. Tue Jan 14 23:06:50 2025 commencing in-memory singleton removal
  49. Tue Jan 14 23:06:52 2025 begin with 69338739 relations and 57288061 unique ideals
  50. Tue Jan 14 23:06:56 2025 reduce to 68683476 relations and 50573170 ideals in 7 passes
  51. Tue Jan 14 23:06:56 2025 max relations containing the same ideal: 155
  52. Tue Jan 14 23:07:28 2025 removing 6380307 relations and 4380307 ideals in 2000000 cliques
  53. Tue Jan 14 23:07:32 2025 commencing in-memory singleton removal
  54. Tue Jan 14 23:07:33 2025 begin with 62303169 relations and 50573170 unique ideals
  55. Tue Jan 14 23:07:37 2025 reduce to 61855436 relations and 45732234 ideals in 7 passes
  56. Tue Jan 14 23:07:37 2025 max relations containing the same ideal: 144
  57. Tue Jan 14 23:08:06 2025 removing 5940187 relations and 3940187 ideals in 2000000 cliques
  58. Tue Jan 14 23:08:10 2025 commencing in-memory singleton removal
  59. Tue Jan 14 23:08:11 2025 begin with 55915249 relations and 45732234 unique ideals
  60. Tue Jan 14 23:08:13 2025 reduce to 55516639 relations and 41381416 ideals in 7 passes
  61. Tue Jan 14 23:08:13 2025 max relations containing the same ideal: 136
  62. Tue Jan 14 23:08:40 2025 removing 5716070 relations and 3716070 ideals in 2000000 cliques
  63. Tue Jan 14 23:08:44 2025 commencing in-memory singleton removal
  64. Tue Jan 14 23:08:45 2025 begin with 49800569 relations and 41381416 unique ideals
  65. Tue Jan 14 23:08:47 2025 reduce to 49416424 relations and 37268878 ideals in 6 passes
  66. Tue Jan 14 23:08:47 2025 max relations containing the same ideal: 125
  67. Tue Jan 14 23:09:11 2025 removing 5579906 relations and 3579906 ideals in 2000000 cliques
  68. Tue Jan 14 23:09:14 2025 commencing in-memory singleton removal
  69. Tue Jan 14 23:09:14 2025 begin with 43836518 relations and 37268878 unique ideals
  70. Tue Jan 14 23:09:17 2025 reduce to 43449673 relations and 33288535 ideals in 7 passes
  71. Tue Jan 14 23:09:17 2025 max relations containing the same ideal: 116
  72. Tue Jan 14 23:09:37 2025 removing 5485011 relations and 3485011 ideals in 2000000 cliques
  73. Tue Jan 14 23:09:40 2025 commencing in-memory singleton removal
  74. Tue Jan 14 23:09:41 2025 begin with 37964662 relations and 33288535 unique ideals
  75. Tue Jan 14 23:09:43 2025 reduce to 37558469 relations and 29381766 ideals in 7 passes
  76. Tue Jan 14 23:09:43 2025 max relations containing the same ideal: 105
  77. Tue Jan 14 23:10:01 2025 removing 5425570 relations and 3425570 ideals in 2000000 cliques
  78. Tue Jan 14 23:10:04 2025 commencing in-memory singleton removal
  79. Tue Jan 14 23:10:04 2025 begin with 32132899 relations and 29381766 unique ideals
  80. Tue Jan 14 23:10:06 2025 reduce to 31693020 relations and 25496759 ideals in 6 passes
  81. Tue Jan 14 23:10:06 2025 max relations containing the same ideal: 93
  82. Tue Jan 14 23:10:21 2025 removing 5383861 relations and 3383861 ideals in 2000000 cliques
  83. Tue Jan 14 23:10:24 2025 commencing in-memory singleton removal
  84. Tue Jan 14 23:10:24 2025 begin with 26309159 relations and 25496759 unique ideals
  85. Tue Jan 14 23:10:25 2025 reduce to 25811456 relations and 21589445 ideals in 6 passes
  86. Tue Jan 14 23:10:25 2025 max relations containing the same ideal: 86
  87. Tue Jan 14 23:10:38 2025 removing 5351717 relations and 3351717 ideals in 2000000 cliques
  88. Tue Jan 14 23:10:40 2025 commencing in-memory singleton removal
  89. Tue Jan 14 23:10:40 2025 begin with 20459739 relations and 21589445 unique ideals
  90. Tue Jan 14 23:10:41 2025 reduce to 19870193 relations and 17610660 ideals in 8 passes
  91. Tue Jan 14 23:10:41 2025 max relations containing the same ideal: 67
  92. Tue Jan 14 23:10:50 2025 removing 4397466 relations and 2799323 ideals in 1598143 cliques
  93. Tue Jan 14 23:10:52 2025 commencing in-memory singleton removal
  94. Tue Jan 14 23:10:53 2025 begin with 15472727 relations and 17610660 unique ideals
  95. Tue Jan 14 23:10:54 2025 reduce to 14907839 relations and 14207799 ideals in 8 passes
  96. Tue Jan 14 23:10:54 2025 max relations containing the same ideal: 56
  97. Tue Jan 14 23:11:00 2025 removing 208977 relations and 170327 ideals in 38650 cliques
  98. Tue Jan 14 23:11:01 2025 commencing in-memory singleton removal
  99. Tue Jan 14 23:11:01 2025 begin with 14698862 relations and 14207799 unique ideals
  100. Tue Jan 14 23:11:02 2025 reduce to 14696518 relations and 14035112 ideals in 5 passes
  101. Tue Jan 14 23:11:02 2025 max relations containing the same ideal: 55
  102. Tue Jan 14 23:11:04 2025 relations with 0 large ideals: 1823
  103. Tue Jan 14 23:11:04 2025 relations with 1 large ideals: 15498
  104. Tue Jan 14 23:11:04 2025 relations with 2 large ideals: 191423
  105. Tue Jan 14 23:11:04 2025 relations with 3 large ideals: 979172
  106. Tue Jan 14 23:11:04 2025 relations with 4 large ideals: 2585923
  107. Tue Jan 14 23:11:04 2025 relations with 5 large ideals: 3958113
  108. Tue Jan 14 23:11:04 2025 relations with 6 large ideals: 3756464
  109. Tue Jan 14 23:11:04 2025 relations with 7+ large ideals: 3208102
  110. Tue Jan 14 23:11:04 2025 commencing 2-way merge
  111. Tue Jan 14 23:11:12 2025 reduce to 10029057 relation sets and 9367651 unique ideals
  112. Tue Jan 14 23:11:12 2025 commencing full merge
  113. Tue Jan 14 23:15:08 2025 memory use: 1187.0 MB
  114. Tue Jan 14 23:15:09 2025 found 4409772 cycles, need 4371851
  115. Tue Jan 14 23:15:11 2025 weight of 4371851 cycles is about 569027386 (130.16/cycle)
  116. Tue Jan 14 23:15:11 2025 distribution of cycle lengths:
  117. Tue Jan 14 23:15:11 2025 1 relations: 76348
  118. Tue Jan 14 23:15:11 2025 2 relations: 200620
  119. Tue Jan 14 23:15:11 2025 3 relations: 269295
  120. Tue Jan 14 23:15:11 2025 4 relations: 302489
  121. Tue Jan 14 23:15:11 2025 5 relations: 327348
  122. Tue Jan 14 23:15:11 2025 6 relations: 334524
  123. Tue Jan 14 23:15:11 2025 7 relations: 335271
  124. Tue Jan 14 23:15:11 2025 8 relations: 323589
  125. Tue Jan 14 23:15:11 2025 9 relations: 303970
  126. Tue Jan 14 23:15:11 2025 10+ relations: 1898397
  127. Tue Jan 14 23:15:11 2025 heaviest cycle: 28 relations
  128. Tue Jan 14 23:15:13 2025 commencing cycle optimization
  129. Tue Jan 14 23:15:27 2025 start with 41320874 relations
  130. Tue Jan 14 23:17:44 2025 pruned 2333655 relations
  131. Tue Jan 14 23:17:44 2025 memory use: 1032.8 MB
  132. Tue Jan 14 23:17:44 2025 distribution of cycle lengths:
  133. Tue Jan 14 23:17:44 2025 1 relations: 76348
  134. Tue Jan 14 23:17:44 2025 2 relations: 207316
  135. Tue Jan 14 23:17:44 2025 3 relations: 283306
  136. Tue Jan 14 23:17:44 2025 4 relations: 319049
  137. Tue Jan 14 23:17:44 2025 5 relations: 349188
  138. Tue Jan 14 23:17:44 2025 6 relations: 356745
  139. Tue Jan 14 23:17:44 2025 7 relations: 359725
  140. Tue Jan 14 23:17:44 2025 8 relations: 345407
  141. Tue Jan 14 23:17:44 2025 9 relations: 322479
  142. Tue Jan 14 23:17:44 2025 10+ relations: 1752288
  143. Tue Jan 14 23:17:44 2025 heaviest cycle: 28 relations
  144. Tue Jan 14 23:17:54 2025 RelProcTime: 1730
  145. Tue Jan 14 23:17:54 2025
  146. Tue Jan 14 23:17:54 2025 commencing linear algebra
  147. Tue Jan 14 23:17:54 2025 using VBITS=256
  148. Tue Jan 14 23:17:54 2025 stopping after matrix build
  149. Tue Jan 14 23:17:54 2025 initialized process (0,0) of 1 x 1 grid
  150. Tue Jan 14 23:17:54 2025 read 4371851 cycles
  151. Tue Jan 14 23:18:06 2025 cycles contain 14389062 unique relations
  152. Tue Jan 14 23:20:38 2025 read 14389062 relations
  153. Tue Jan 14 23:20:40 2025 using 20 quadratic characters above 4294917295
  154. Tue Jan 14 23:20:43 2025 building initial matrix
  155. Tue Jan 14 23:25:00 2025 memory use: 1978.8 MB
  156. Tue Jan 14 23:25:05 2025 read 4371851 cycles
  157. Tue Jan 14 23:25:06 2025 matrix is 4371673 x 4371851 (2185.7 MB) with weight 662091822 (151.44/col)
  158. Tue Jan 14 23:25:06 2025 sparse part has weight 520508715 (119.06/col)
  159. Tue Jan 14 23:26:07 2025 filtering completed in 2 passes
  160. Tue Jan 14 23:26:09 2025 matrix is 4371557 x 4371735 (2185.7 MB) with weight 662084981 (151.45/col)
  161. Tue Jan 14 23:26:09 2025 sparse part has weight 520505785 (119.06/col)
  162. Tue Jan 14 23:26:37 2025 BLanczosTime: 523
  163. Tue Jan 14 23:26:37 2025 elapsed time 00:37:34
  164. Tue Jan 14 23:53:56 2025
  165. Tue Jan 14 23:53:56 2025
  166. Tue Jan 14 23:53:56 2025 Msieve v. 1.54 (SVN Unversioned directory)
  167. Tue Jan 14 23:53:56 2025 random seeds: cf77c547 137e1ad9
  168. Tue Jan 14 23:53:56 2025 MPI process 0 of 1
  169. Tue Jan 14 23:53:56 2025 Using 64 OpenMP threads
  170. Tue Jan 14 23:53:56 2025 factoring 3456456343238531165257760680981689923774062012660714570826198100411617888068448980972697867202817279549469496670638408936841927388635217715927066283734882742057 (160 digits)
  171. Tue Jan 14 23:53:56 2025 searching for 15-digit factors
  172. Tue Jan 14 23:53:56 2025 commencing number field sieve (160-digit input)
  173. Tue Jan 14 23:53:56 2025 R0: -8504367327153106274470278313443
  174. Tue Jan 14 23:53:56 2025 R1: 4074507865247963
  175. Tue Jan 14 23:53:56 2025 A0: -2791864383447254083269387274629877696
  176. Tue Jan 14 23:53:56 2025 A1: 92481566804011826133127042244168
  177. Tue Jan 14 23:53:56 2025 A2: -75949998112499772356088486
  178. Tue Jan 14 23:53:56 2025 A3: -10511892041084951192
  179. Tue Jan 14 23:53:56 2025 A4: 2089023941005
  180. Tue Jan 14 23:53:56 2025 A5: 77700
  181. Tue Jan 14 23:53:56 2025 skew 5509974.77, size 1.491e-15, alpha -6.296, combined = 1.437e-12 rroots = 5
  182. Tue Jan 14 23:53:56 2025
  183. Tue Jan 14 23:53:56 2025 commencing linear algebra
  184. Tue Jan 14 23:53:56 2025 using VBITS=256
  185. Tue Jan 14 23:53:56 2025 skipping matrix build
  186. Tue Jan 14 23:53:56 2025 initialized process (0,0) of 1 x 1 grid
  187. Tue Jan 14 23:53:58 2025 matrix starts at (0, 0)
  188. Tue Jan 14 23:53:59 2025 matrix is 4371557 x 4371735 (2185.7 MB) with weight 662084981 (151.45/col)
  189. Tue Jan 14 23:53:59 2025 sparse part has weight 520505785 (119.06/col)
  190. Tue Jan 14 23:53:59 2025 saving the first 240 matrix rows for later
  191. Tue Jan 14 23:54:00 2025 matrix includes 256 packed rows
  192. Tue Jan 14 23:54:01 2025 matrix is 4371317 x 4371735 (1961.8 MB) with weight 475368820 (108.74/col)
  193. Tue Jan 14 23:54:01 2025 sparse part has weight 444327888 (101.64/col)
  194. Tue Jan 14 23:54:01 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  195. Tue Jan 14 23:54:11 2025 commencing Lanczos iteration (64 threads)
  196. Tue Jan 14 23:54:11 2025 memory use: 2768.3 MB
  197. Tue Jan 14 23:54:50 2025 linear algebra at 0.7%, ETA 1h29m
  198. Tue Jan 14 23:55:50 2025 checking every 40000 dimensions, checkpointing every 2840000 dimensions
  199. Wed Jan 15 01:24:14 2025 lanczos halted after 17128 iterations (dim = 4371317)
  200. Wed Jan 15 01:24:30 2025 recovered 31 nontrivial dependencies
  201. Wed Jan 15 01:24:30 2025 BLanczosTime: 5434
  202. Wed Jan 15 01:24:30 2025
  203. Wed Jan 15 01:24:30 2025 commencing square root phase
  204. Wed Jan 15 01:24:30 2025 handling dependencies 1 to 64
  205. Wed Jan 15 01:24:30 2025 reading relations for dependency 1
  206. Wed Jan 15 01:24:30 2025 read 2187446 cycles
  207. Wed Jan 15 01:24:33 2025 cycles contain 7196530 unique relations
  208. Wed Jan 15 01:26:21 2025 read 7196530 relations
  209. Wed Jan 15 01:27:02 2025 multiplying 7196530 relations
  210. Wed Jan 15 01:28:30 2025 multiply complete, coefficients have about 383.86 million bits
  211. Wed Jan 15 01:28:32 2025 initial square root is modulo 7720903
  212. Wed Jan 15 01:32:14 2025 sqrtTime: 464
  213. Wed Jan 15 01:32:14 2025 p62 factor: 18783487468684835672746327582518344184757549565591658158750327
  214. Wed Jan 15 01:32:14 2025 p99 factor: 184015686597124875230924890739864700172608270965736096236242317533749132498549630145373770763184991
  215. Wed Jan 15 01:32:14 2025 elapsed time 01:38:18
  216.  
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