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Mar 3rd, 2025
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  1. Mon Mar 3 12:06:38 2025
  2. Mon Mar 3 12:06:38 2025
  3. Mon Mar 3 12:06:38 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Mar 3 12:06:38 2025 random seeds: 2297d9b0 66ab0f5d
  5. Mon Mar 3 12:06:38 2025 MPI process 0 of 1
  6. Mon Mar 3 12:06:38 2025 Using 32 OpenMP threads
  7. Mon Mar 3 12:06:38 2025 factoring 73858625349571791082210785534982880186304268708060223296766465054984883694393085819117343955048795790233292232814653811745428034826067552708544898161131921258655381 (164 digits)
  8. Mon Mar 3 12:06:39 2025 searching for 15-digit factors
  9. Mon Mar 3 12:06:39 2025 commencing number field sieve (164-digit input)
  10. Mon Mar 3 12:06:39 2025 R0: -97183454242840414285299786883265
  11. Mon Mar 3 12:06:39 2025 R1: 167892379682905303
  12. Mon Mar 3 12:06:39 2025 A0: -83938174121571405220390337390541679590048
  13. Mon Mar 3 12:06:39 2025 A1: 150675624778189576189313463426419168
  14. Mon Mar 3 12:06:39 2025 A2: 1481801224575086369853794774
  15. Mon Mar 3 12:06:39 2025 A3: -130300381405755643563
  16. Mon Mar 3 12:06:39 2025 A4: -354591071326
  17. Mon Mar 3 12:06:39 2025 A5: 8520
  18. Mon Mar 3 12:06:39 2025 skew 61422695.48, size 5.273e-16, alpha -7.688, combined = 7.744e-13 rroots = 5
  19. Mon Mar 3 12:06:39 2025
  20. Mon Mar 3 12:06:39 2025 commencing relation filtering
  21. Mon Mar 3 12:06:39 2025 setting target matrix density to 130.0
  22. Mon Mar 3 12:06:39 2025 estimated available RAM is 257736.5 MB
  23. Mon Mar 3 12:06:39 2025 commencing duplicate removal, pass 1
  24. Mon Mar 3 12:09:16 2025 error -1 reading relation 63666094
  25. Mon Mar 3 12:10:14 2025 error -1 reading relation 89182024
  26. Mon Mar 3 12:12:35 2025 error -1 reading relation 152240291
  27. Mon Mar 3 12:13:12 2025 error -1 reading relation 174155590
  28. Mon Mar 3 12:13:13 2025 error -1 reading relation 174282633
  29. Mon Mar 3 12:13:41 2025 error -1 reading relation 186735906
  30. Mon Mar 3 12:14:09 2025 error -1 reading relation 198409886
  31. Mon Mar 3 12:14:59 2025 error -1 reading relation 217868887
  32. Mon Mar 3 12:16:09 2025 error -1 reading relation 244916782
  33. Mon Mar 3 12:16:09 2025 error -1 reading relation 244924037
  34. Mon Mar 3 12:16:28 2025 error -1 reading relation 254211364
  35. Mon Mar 3 12:16:34 2025 error -1 reading relation 256749450
  36. Mon Mar 3 12:17:18 2025 error -1 reading relation 274391841
  37. Mon Mar 3 12:18:24 2025 skipped 118 malformed relations
  38. Mon Mar 3 12:18:24 2025 found 63658144 hash collisions in 301231328 relations
  39. Mon Mar 3 12:18:55 2025 added 121472 free relations
  40. Mon Mar 3 12:18:55 2025 commencing duplicate removal, pass 2
  41. Mon Mar 3 12:27:37 2025 found 68210646 duplicates and 233142154 unique relations
  42. Mon Mar 3 12:27:37 2025 memory use: 1705.5 MB
  43. Mon Mar 3 12:27:37 2025 reading ideals above 720000
  44. Mon Mar 3 12:27:37 2025 commencing singleton removal, initial pass
  45. Mon Mar 3 12:52:33 2025 memory use: 6024.0 MB
  46. Mon Mar 3 12:52:34 2025 reading all ideals from disk
  47. Mon Mar 3 12:52:41 2025 memory use: 10607.5 MB
  48. Mon Mar 3 12:53:24 2025 keeping 224052604 ideals with weight <= 200, target excess is 1156108
  49. Mon Mar 3 12:54:21 2025 commencing in-memory singleton removal
  50. Mon Mar 3 12:54:24 2025 begin with 233142154 relations and 224052604 unique ideals
  51. Mon Mar 3 12:54:44 2025 reduce to 125329028 relations and 102540233 ideals in 18 passes
  52. Mon Mar 3 12:54:44 2025 max relations containing the same ideal: 144
  53. Mon Mar 3 12:55:34 2025 removing 11882647 relations and 9882647 ideals in 2000000 cliques
  54. Mon Mar 3 12:55:38 2025 commencing in-memory singleton removal
  55. Mon Mar 3 12:55:40 2025 begin with 113446381 relations and 102540233 unique ideals
  56. Mon Mar 3 12:55:45 2025 reduce to 112596884 relations and 91790742 ideals in 9 passes
  57. Mon Mar 3 12:55:45 2025 max relations containing the same ideal: 134
  58. Mon Mar 3 12:56:44 2025 removing 9034073 relations and 7034073 ideals in 2000000 cliques
  59. Mon Mar 3 12:56:49 2025 commencing in-memory singleton removal
  60. Mon Mar 3 12:56:51 2025 begin with 103562811 relations and 91790742 unique ideals
  61. Mon Mar 3 12:56:58 2025 reduce to 102988955 relations and 84172378 ideals in 8 passes
  62. Mon Mar 3 12:56:58 2025 max relations containing the same ideal: 124
  63. Mon Mar 3 12:57:58 2025 removing 8183013 relations and 6183013 ideals in 2000000 cliques
  64. Mon Mar 3 12:58:03 2025 commencing in-memory singleton removal
  65. Mon Mar 3 12:58:04 2025 begin with 94805942 relations and 84172378 unique ideals
  66. Mon Mar 3 12:58:10 2025 reduce to 94287371 relations and 77461207 ideals in 8 passes
  67. Mon Mar 3 12:58:10 2025 max relations containing the same ideal: 113
  68. Mon Mar 3 12:59:07 2025 removing 7752629 relations and 5752629 ideals in 2000000 cliques
  69. Mon Mar 3 12:59:12 2025 commencing in-memory singleton removal
  70. Mon Mar 3 12:59:13 2025 begin with 86534742 relations and 77461207 unique ideals
  71. Mon Mar 3 12:59:18 2025 reduce to 86030747 relations and 71194685 ideals in 8 passes
  72. Mon Mar 3 12:59:18 2025 max relations containing the same ideal: 107
  73. Mon Mar 3 13:00:13 2025 removing 7501861 relations and 5501861 ideals in 2000000 cliques
  74. Mon Mar 3 13:00:17 2025 commencing in-memory singleton removal
  75. Mon Mar 3 13:00:19 2025 begin with 78528886 relations and 71194685 unique ideals
  76. Mon Mar 3 13:00:24 2025 reduce to 78018808 relations and 65172143 ideals in 8 passes
  77. Mon Mar 3 13:00:24 2025 max relations containing the same ideal: 101
  78. Mon Mar 3 13:01:11 2025 removing 7349639 relations and 5349639 ideals in 2000000 cliques
  79. Mon Mar 3 13:01:16 2025 commencing in-memory singleton removal
  80. Mon Mar 3 13:01:17 2025 begin with 70669169 relations and 65172143 unique ideals
  81. Mon Mar 3 13:01:20 2025 reduce to 70130804 relations and 59272016 ideals in 7 passes
  82. Mon Mar 3 13:01:20 2025 max relations containing the same ideal: 96
  83. Mon Mar 3 13:02:03 2025 removing 7263399 relations and 5263399 ideals in 2000000 cliques
  84. Mon Mar 3 13:02:07 2025 commencing in-memory singleton removal
  85. Mon Mar 3 13:02:09 2025 begin with 62867405 relations and 59272016 unique ideals
  86. Mon Mar 3 13:02:12 2025 reduce to 62286799 relations and 53413403 ideals in 8 passes
  87. Mon Mar 3 13:02:12 2025 max relations containing the same ideal: 88
  88. Mon Mar 3 13:02:51 2025 removing 7234241 relations and 5234241 ideals in 2000000 cliques
  89. Mon Mar 3 13:02:55 2025 commencing in-memory singleton removal
  90. Mon Mar 3 13:02:56 2025 begin with 55052558 relations and 53413403 unique ideals
  91. Mon Mar 3 13:02:58 2025 reduce to 54407110 relations and 47515668 ideals in 7 passes
  92. Mon Mar 3 13:02:58 2025 max relations containing the same ideal: 80
  93. Mon Mar 3 13:03:33 2025 removing 7260582 relations and 5260582 ideals in 2000000 cliques
  94. Mon Mar 3 13:03:37 2025 commencing in-memory singleton removal
  95. Mon Mar 3 13:03:37 2025 begin with 47146528 relations and 47515668 unique ideals
  96. Mon Mar 3 13:03:41 2025 reduce to 46390544 relations and 41475153 ideals in 9 passes
  97. Mon Mar 3 13:03:41 2025 max relations containing the same ideal: 71
  98. Mon Mar 3 13:04:12 2025 removing 7339918 relations and 5339918 ideals in 2000000 cliques
  99. Mon Mar 3 13:04:15 2025 commencing in-memory singleton removal
  100. Mon Mar 3 13:04:16 2025 begin with 39050626 relations and 41475153 unique ideals
  101. Mon Mar 3 13:04:18 2025 reduce to 38126981 relations and 35176982 ideals in 10 passes
  102. Mon Mar 3 13:04:18 2025 max relations containing the same ideal: 64
  103. Mon Mar 3 13:04:44 2025 removing 6334813 relations and 4725900 ideals in 1608913 cliques
  104. Mon Mar 3 13:04:47 2025 commencing in-memory singleton removal
  105. Mon Mar 3 13:04:48 2025 begin with 31792168 relations and 35176982 unique ideals
  106. Mon Mar 3 13:04:50 2025 reduce to 30936607 relations and 29563594 ideals in 11 passes
  107. Mon Mar 3 13:04:50 2025 max relations containing the same ideal: 55
  108. Mon Mar 3 13:05:09 2025 removing 273496 relations and 241569 ideals in 31927 cliques
  109. Mon Mar 3 13:05:10 2025 commencing in-memory singleton removal
  110. Mon Mar 3 13:05:11 2025 begin with 30663111 relations and 29563594 unique ideals
  111. Mon Mar 3 13:05:12 2025 reduce to 30661603 relations and 29320515 ideals in 6 passes
  112. Mon Mar 3 13:05:12 2025 max relations containing the same ideal: 54
  113. Mon Mar 3 13:05:15 2025 relations with 0 large ideals: 4092
  114. Mon Mar 3 13:05:15 2025 relations with 1 large ideals: 52192
  115. Mon Mar 3 13:05:15 2025 relations with 2 large ideals: 591650
  116. Mon Mar 3 13:05:15 2025 relations with 3 large ideals: 2727844
  117. Mon Mar 3 13:05:15 2025 relations with 4 large ideals: 6535720
  118. Mon Mar 3 13:05:15 2025 relations with 5 large ideals: 8931279
  119. Mon Mar 3 13:05:15 2025 relations with 6 large ideals: 7252368
  120. Mon Mar 3 13:05:15 2025 relations with 7+ large ideals: 4566458
  121. Mon Mar 3 13:05:15 2025 commencing 2-way merge
  122. Mon Mar 3 13:05:34 2025 reduce to 18173786 relation sets and 16832698 unique ideals
  123. Mon Mar 3 13:05:34 2025 commencing full merge
  124. Mon Mar 3 13:14:16 2025 memory use: 1968.2 MB
  125. Mon Mar 3 13:14:19 2025 found 7673532 cycles, need 7642898
  126. Mon Mar 3 13:14:23 2025 weight of 7642898 cycles is about 994080812 (130.07/cycle)
  127. Mon Mar 3 13:14:23 2025 distribution of cycle lengths:
  128. Mon Mar 3 13:14:23 2025 1 relations: 445964
  129. Mon Mar 3 13:14:23 2025 2 relations: 461893
  130. Mon Mar 3 13:14:23 2025 3 relations: 481800
  131. Mon Mar 3 13:14:23 2025 4 relations: 480147
  132. Mon Mar 3 13:14:23 2025 5 relations: 486376
  133. Mon Mar 3 13:14:23 2025 6 relations: 484492
  134. Mon Mar 3 13:14:23 2025 7 relations: 477680
  135. Mon Mar 3 13:14:23 2025 8 relations: 465826
  136. Mon Mar 3 13:14:23 2025 9 relations: 444245
  137. Mon Mar 3 13:14:23 2025 10+ relations: 3414475
  138. Mon Mar 3 13:14:23 2025 heaviest cycle: 28 relations
  139. Mon Mar 3 13:14:27 2025 commencing cycle optimization
  140. Mon Mar 3 13:14:59 2025 start with 73118979 relations
  141. Mon Mar 3 13:18:41 2025 pruned 3123997 relations
  142. Mon Mar 3 13:18:41 2025 memory use: 1979.9 MB
  143. Mon Mar 3 13:18:41 2025 distribution of cycle lengths:
  144. Mon Mar 3 13:18:41 2025 1 relations: 445964
  145. Mon Mar 3 13:18:41 2025 2 relations: 473351
  146. Mon Mar 3 13:18:41 2025 3 relations: 500559
  147. Mon Mar 3 13:18:41 2025 4 relations: 498513
  148. Mon Mar 3 13:18:41 2025 5 relations: 508020
  149. Mon Mar 3 13:18:41 2025 6 relations: 505611
  150. Mon Mar 3 13:18:41 2025 7 relations: 500762
  151. Mon Mar 3 13:18:41 2025 8 relations: 487152
  152. Mon Mar 3 13:18:41 2025 9 relations: 465237
  153. Mon Mar 3 13:18:41 2025 10+ relations: 3257729
  154. Mon Mar 3 13:18:41 2025 heaviest cycle: 28 relations
  155. Mon Mar 3 13:19:03 2025 RelProcTime: 4344
  156. Mon Mar 3 13:19:03 2025
  157. Mon Mar 3 13:19:03 2025 commencing linear algebra
  158. Mon Mar 3 13:19:03 2025 using VBITS=256
  159. Mon Mar 3 13:19:03 2025 stopping after matrix build
  160. Mon Mar 3 13:19:03 2025 initialized process (0,0) of 1 x 1 grid
  161. Mon Mar 3 13:19:04 2025 read 7642898 cycles
  162. Mon Mar 3 13:19:29 2025 cycles contain 29720514 unique relations
  163. Mon Mar 3 13:25:17 2025 read 29720514 relations
  164. Mon Mar 3 13:25:20 2025 using 20 quadratic characters above 4294917295
  165. Mon Mar 3 13:25:25 2025 building initial matrix
  166. Mon Mar 3 13:33:57 2025 memory use: 4016.9 MB
  167. Mon Mar 3 13:34:06 2025 read 7642898 cycles
  168. Mon Mar 3 13:34:08 2025 matrix is 7642719 x 7642898 (3865.5 MB) with weight 1175221050 (153.77/col)
  169. Mon Mar 3 13:34:08 2025 sparse part has weight 921601643 (120.58/col)
  170. Mon Mar 3 13:36:30 2025 filtering completed in 2 passes
  171. Mon Mar 3 13:36:32 2025 matrix is 7642313 x 7642491 (3865.4 MB) with weight 1175198895 (153.77/col)
  172. Mon Mar 3 13:36:32 2025 sparse part has weight 921594361 (120.59/col)
  173. Mon Mar 3 13:37:16 2025 BLanczosTime: 1093
  174. Mon Mar 3 13:37:16 2025 elapsed time 01:30:38
  175. Mon Mar 3 13:53:16 2025 commencing linear algebra
  176. Mon Mar 3 13:53:16 2025 using VBITS=256
  177. Mon Mar 3 13:53:16 2025 skipping matrix build
  178. Mon Mar 3 13:53:19 2025 matrix starts at (0, 0)
  179. Mon Mar 3 13:53:20 2025 matrix is 7642313 x 7642491 (3865.4 MB) with weight 1175198895 (153.77/col)
  180. Mon Mar 3 13:53:20 2025 sparse part has weight 921594361 (120.59/col)
  181. Mon Mar 3 13:53:20 2025 saving the first 240 matrix rows for later
  182. Mon Mar 3 13:53:22 2025 matrix includes 256 packed rows
  183. Mon Mar 3 13:53:24 2025 matrix is 7642073 x 7642491 (3457.0 MB) with weight 838197275 (109.68/col)
  184. Mon Mar 3 13:53:24 2025 sparse part has weight 783964285 (102.58/col)
  185. Mon Mar 3 13:53:24 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  186. Mon Mar 3 13:53:39 2025 commencing Lanczos iteration (96 threads)
  187. Mon Mar 3 13:53:39 2025 memory use: 4658.0 MB
  188. Mon Mar 3 13:54:33 2025 linear algebra at 0.4%, ETA 3h39m
  189. Mon Mar 3 13:55:50 2025 checking every 30000 dimensions, checkpointing every 2130000 dimensions
  190. Mon Mar 3 17:25:00 2025 lanczos halted after 29942 iterations (dim = 7642067)
  191. Mon Mar 3 17:25:48 2025 recovered 24 nontrivial dependencies
  192. Mon Mar 3 17:25:49 2025 BLanczosTime: 12753
  193. Mon Mar 3 17:25:49 2025
  194. Mon Mar 3 17:25:49 2025 commencing square root phase
  195. Mon Mar 3 17:25:49 2025 handling dependencies 1 to 64
  196. Mon Mar 3 17:25:49 2025 reading relations for dependency 1
  197. Mon Mar 3 17:25:49 2025 read 3820464 cycles
  198. Mon Mar 3 17:25:56 2025 cycles contain 14865522 unique relations
  199. Mon Mar 3 17:30:09 2025 read 14865522 relations
  200. Mon Mar 3 17:30:56 2025 multiplying 14865522 relations
  201. Mon Mar 3 17:36:40 2025 multiply complete, coefficients have about 755.24 million bits
  202. Mon Mar 3 17:36:42 2025 initial square root is modulo 5965781
  203. Mon Mar 3 17:40:34 2025 GCD is 1, no factor found
  204. Mon Mar 3 17:40:34 2025 reading relations for dependency 2
  205. Mon Mar 3 17:40:35 2025 read 3821676 cycles
  206. Mon Mar 3 17:40:41 2025 cycles contain 14861808 unique relations
  207. Mon Mar 3 17:44:54 2025 read 14861808 relations
  208. Mon Mar 3 17:45:39 2025 multiplying 14861808 relations
  209. Mon Mar 3 17:54:00 2025 multiply complete, coefficients have about 755.06 million bits
  210. Mon Mar 3 17:54:04 2025 initial square root is modulo 5943341
  211. Mon Mar 3 18:02:23 2025 GCD is 1, no factor found
  212. Mon Mar 3 18:02:23 2025 reading relations for dependency 3
  213. Mon Mar 3 18:02:24 2025 read 3820834 cycles
  214. Mon Mar 3 18:02:36 2025 cycles contain 14856686 unique relations
  215. Mon Mar 3 18:08:36 2025 read 14856686 relations
  216. Mon Mar 3 18:10:16 2025 multiplying 14856686 relations
  217. Mon Mar 3 18:21:58 2025 multiply complete, coefficients have about 754.80 million bits
  218. Mon Mar 3 18:22:02 2025 initial square root is modulo 5911933
  219. Mon Mar 3 18:30:30 2025 sqrtTime: 3881
  220. Mon Mar 3 18:30:30 2025 p79 factor: 3407596815292504803148996586846909147891542831285229577177204925902785274717457
  221. Mon Mar 3 18:30:30 2025 p86 factor: 21674696084381637259727984460506591943646669193664510528234703820801629421051081924933
  222. Mon Mar 3 18:30:30 2025 elapsed time 04:37:16
  223.  
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