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Feb 20th, 2025
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  1. Thu Feb 20 10:13:03 2025
  2. Thu Feb 20 10:13:03 2025
  3. Thu Feb 20 10:13:03 2025 Msieve v. 1.54 (SVN unknown)
  4. Thu Feb 20 10:13:03 2025 random seeds: 219c6225 a2f8079e
  5. Thu Feb 20 10:13:03 2025 factoring 9827388311033942012931849855870513141711393004675561015400937298343848430243555958572934102690338729074922498011362192413726400841040614064339349326289767651046872347327877046889601313015175802837219091422965258758658034608077434659 (232 digits)
  6. Thu Feb 20 10:13:05 2025 no P-1/P+1/ECM available, skipping
  7. Thu Feb 20 10:13:05 2025 commencing number field sieve (232-digit input)
  8. Thu Feb 20 10:13:05 2025 R0: 6522658621783115226228577383446574051673
  9. Thu Feb 20 10:13:05 2025 R1: -1
  10. Thu Feb 20 10:13:05 2025 A0: 1
  11. Thu Feb 20 10:13:05 2025 A1: 1
  12. Thu Feb 20 10:13:05 2025 A2: 1
  13. Thu Feb 20 10:13:05 2025 A3: 1
  14. Thu Feb 20 10:13:05 2025 A4: 1
  15. Thu Feb 20 10:13:05 2025 A5: 1
  16. Thu Feb 20 10:13:05 2025 A6: 1
  17. Thu Feb 20 10:13:05 2025 skew 1.00, size 8.191e-12, alpha 2.428, combined = 5.513e-13 rroots = 0
  18. Thu Feb 20 10:13:05 2025
  19. Thu Feb 20 10:13:05 2025 commencing relation filtering
  20. Thu Feb 20 10:13:05 2025 setting target matrix density to 112.0
  21. Thu Feb 20 10:13:05 2025 estimated available RAM is 15954.4 MB
  22. Thu Feb 20 10:13:05 2025 commencing duplicate removal, pass 1
  23. Thu Feb 20 10:40:17 2025 skipped 38 relations with b > 2^32
  24. Thu Feb 20 10:40:17 2025 skipped 1 relations with composite factors
  25. Thu Feb 20 10:40:17 2025 found 9844883 hash collisions in 152260520 relations
  26. Thu Feb 20 10:40:17 2025 commencing duplicate removal, pass 2
  27. Thu Feb 20 10:41:30 2025 found 0 duplicates and 152260520 unique relations
  28. Thu Feb 20 10:41:30 2025 memory use: 394.4 MB
  29. Thu Feb 20 10:41:30 2025 reading ideals above 115933184
  30. Thu Feb 20 10:41:30 2025 commencing singleton removal, initial pass
  31. Thu Feb 20 11:00:16 2025 memory use: 3012.0 MB
  32. Thu Feb 20 11:00:16 2025 reading all ideals from disk
  33. Thu Feb 20 11:00:23 2025 memory use: 2666.8 MB
  34. Thu Feb 20 11:00:34 2025 commencing in-memory singleton removal
  35. Thu Feb 20 11:00:44 2025 begin with 152260520 relations and 119724433 unique ideals
  36. Thu Feb 20 11:02:15 2025 reduce to 106422329 relations and 69974110 ideals in 12 passes
  37. Thu Feb 20 11:02:15 2025 max relations containing the same ideal: 40
  38. Thu Feb 20 11:02:24 2025 reading ideals above 720000
  39. Thu Feb 20 11:02:24 2025 commencing singleton removal, initial pass
  40. Thu Feb 20 11:22:00 2025 memory use: 2756.0 MB
  41. Thu Feb 20 11:22:00 2025 reading all ideals from disk
  42. Thu Feb 20 11:22:11 2025 memory use: 4120.1 MB
  43. Thu Feb 20 11:22:31 2025 keeping 82691473 ideals with weight <= 200, target excess is 527002
  44. Thu Feb 20 11:22:53 2025 commencing in-memory singleton removal
  45. Thu Feb 20 11:23:09 2025 begin with 106422329 relations and 82691473 unique ideals
  46. Thu Feb 20 11:24:06 2025 reduce to 106422245 relations and 82691389 ideals in 4 passes
  47. Thu Feb 20 11:24:06 2025 max relations containing the same ideal: 200
  48. Thu Feb 20 11:25:36 2025 removing 8949948 relations and 6949948 ideals in 2000000 cliques
  49. Thu Feb 20 11:25:42 2025 commencing in-memory singleton removal
  50. Thu Feb 20 11:25:54 2025 begin with 97472297 relations and 82691389 unique ideals
  51. Thu Feb 20 11:27:41 2025 reduce to 96850239 relations and 75104164 ideals in 8 passes
  52. Thu Feb 20 11:27:41 2025 max relations containing the same ideal: 197
  53. Thu Feb 20 11:28:50 2025 removing 7043948 relations and 5043948 ideals in 2000000 cliques
  54. Thu Feb 20 11:28:56 2025 commencing in-memory singleton removal
  55. Thu Feb 20 11:29:06 2025 begin with 89806291 relations and 75104164 unique ideals
  56. Thu Feb 20 11:30:15 2025 reduce to 89381972 relations and 69626820 ideals in 7 passes
  57. Thu Feb 20 11:30:15 2025 max relations containing the same ideal: 188
  58. Thu Feb 20 11:31:18 2025 removing 6517886 relations and 4517886 ideals in 2000000 cliques
  59. Thu Feb 20 11:31:24 2025 commencing in-memory singleton removal
  60. Thu Feb 20 11:31:36 2025 begin with 82864086 relations and 69626820 unique ideals
  61. Thu Feb 20 11:32:45 2025 reduce to 82486866 relations and 64723428 ideals in 7 passes
  62. Thu Feb 20 11:32:45 2025 max relations containing the same ideal: 180
  63. Thu Feb 20 11:33:45 2025 removing 6256934 relations and 4256934 ideals in 2000000 cliques
  64. Thu Feb 20 11:33:50 2025 commencing in-memory singleton removal
  65. Thu Feb 20 11:34:00 2025 begin with 76229932 relations and 64723428 unique ideals
  66. Thu Feb 20 11:34:48 2025 reduce to 75866381 relations and 60094789 ideals in 6 passes
  67. Thu Feb 20 11:34:48 2025 max relations containing the same ideal: 169
  68. Thu Feb 20 11:35:50 2025 removing 6100808 relations and 4100808 ideals in 2000000 cliques
  69. Thu Feb 20 11:35:55 2025 commencing in-memory singleton removal
  70. Thu Feb 20 11:36:04 2025 begin with 69765573 relations and 60094789 unique ideals
  71. Thu Feb 20 11:36:51 2025 reduce to 69401362 relations and 55621016 ideals in 6 passes
  72. Thu Feb 20 11:36:51 2025 max relations containing the same ideal: 161
  73. Thu Feb 20 11:37:38 2025 removing 6007313 relations and 4007313 ideals in 2000000 cliques
  74. Thu Feb 20 11:37:44 2025 commencing in-memory singleton removal
  75. Thu Feb 20 11:37:50 2025 begin with 63394049 relations and 55621016 unique ideals
  76. Thu Feb 20 11:38:35 2025 reduce to 63017900 relations and 51227937 ideals in 6 passes
  77. Thu Feb 20 11:38:35 2025 max relations containing the same ideal: 150
  78. Thu Feb 20 11:39:25 2025 removing 5952338 relations and 3952338 ideals in 2000000 cliques
  79. Thu Feb 20 11:39:30 2025 commencing in-memory singleton removal
  80. Thu Feb 20 11:39:39 2025 begin with 57065562 relations and 51227937 unique ideals
  81. Thu Feb 20 11:40:21 2025 reduce to 56664989 relations and 46863980 ideals in 7 passes
  82. Thu Feb 20 11:40:21 2025 max relations containing the same ideal: 139
  83. Thu Feb 20 11:41:02 2025 removing 5923769 relations and 3923769 ideals in 2000000 cliques
  84. Thu Feb 20 11:41:07 2025 commencing in-memory singleton removal
  85. Thu Feb 20 11:41:14 2025 begin with 50741220 relations and 46863980 unique ideals
  86. Thu Feb 20 11:41:48 2025 reduce to 50309112 relations and 42494872 ideals in 7 passes
  87. Thu Feb 20 11:41:48 2025 max relations containing the same ideal: 131
  88. Thu Feb 20 11:42:22 2025 removing 5917128 relations and 3917128 ideals in 2000000 cliques
  89. Thu Feb 20 11:42:27 2025 commencing in-memory singleton removal
  90. Thu Feb 20 11:42:33 2025 begin with 44391984 relations and 42494872 unique ideals
  91. Thu Feb 20 11:43:10 2025 reduce to 43910328 relations and 38079722 ideals in 7 passes
  92. Thu Feb 20 11:43:10 2025 max relations containing the same ideal: 117
  93. Thu Feb 20 11:43:44 2025 removing 5933689 relations and 3933689 ideals in 2000000 cliques
  94. Thu Feb 20 11:43:49 2025 commencing in-memory singleton removal
  95. Thu Feb 20 11:43:53 2025 begin with 37976639 relations and 38079722 unique ideals
  96. Thu Feb 20 11:44:19 2025 reduce to 37428057 relations and 33575532 ideals in 7 passes
  97. Thu Feb 20 11:44:19 2025 max relations containing the same ideal: 106
  98. Thu Feb 20 11:44:44 2025 removing 5968996 relations and 3968996 ideals in 2000000 cliques
  99. Thu Feb 20 11:44:47 2025 commencing in-memory singleton removal
  100. Thu Feb 20 11:44:51 2025 begin with 31459061 relations and 33575532 unique ideals
  101. Thu Feb 20 11:45:12 2025 reduce to 30802316 relations and 28918883 ideals in 8 passes
  102. Thu Feb 20 11:45:12 2025 max relations containing the same ideal: 94
  103. Thu Feb 20 11:45:32 2025 removing 4170063 relations and 2897953 ideals in 1272110 cliques
  104. Thu Feb 20 11:45:34 2025 commencing in-memory singleton removal
  105. Thu Feb 20 11:45:37 2025 begin with 26632253 relations and 28918883 unique ideals
  106. Thu Feb 20 11:45:54 2025 reduce to 26204619 relations and 25577290 ideals in 7 passes
  107. Thu Feb 20 11:45:54 2025 max relations containing the same ideal: 83
  108. Thu Feb 20 11:46:12 2025 removing 105276 relations and 89270 ideals in 16006 cliques
  109. Thu Feb 20 11:46:13 2025 commencing in-memory singleton removal
  110. Thu Feb 20 11:46:16 2025 begin with 26099343 relations and 25577290 unique ideals
  111. Thu Feb 20 11:46:28 2025 reduce to 26098992 relations and 25487669 ideals in 5 passes
  112. Thu Feb 20 11:46:28 2025 max relations containing the same ideal: 83
  113. Thu Feb 20 11:46:37 2025 relations with 0 large ideals: 40276
  114. Thu Feb 20 11:46:37 2025 relations with 1 large ideals: 8300
  115. Thu Feb 20 11:46:37 2025 relations with 2 large ideals: 92068
  116. Thu Feb 20 11:46:37 2025 relations with 3 large ideals: 620343
  117. Thu Feb 20 11:46:37 2025 relations with 4 large ideals: 2272806
  118. Thu Feb 20 11:46:37 2025 relations with 5 large ideals: 4978608
  119. Thu Feb 20 11:46:37 2025 relations with 6 large ideals: 6812585
  120. Thu Feb 20 11:46:37 2025 relations with 7+ large ideals: 11274006
  121. Thu Feb 20 11:46:37 2025 commencing 2-way merge
  122. Thu Feb 20 11:47:01 2025 reduce to 17625203 relation sets and 17013880 unique ideals
  123. Thu Feb 20 11:47:01 2025 commencing full merge
  124. Thu Feb 20 11:57:55 2025 memory use: 2344.0 MB
  125. Thu Feb 20 11:57:57 2025 found 8052215 cycles, need 8034080
  126. Thu Feb 20 11:58:01 2025 weight of 8034080 cycles is about 899945860 (112.02/cycle)
  127. Thu Feb 20 11:58:01 2025 distribution of cycle lengths:
  128. Thu Feb 20 11:58:01 2025 1 relations: 386476
  129. Thu Feb 20 11:58:01 2025 2 relations: 497455
  130. Thu Feb 20 11:58:01 2025 3 relations: 578926
  131. Thu Feb 20 11:58:01 2025 4 relations: 597726
  132. Thu Feb 20 11:58:01 2025 5 relations: 614858
  133. Thu Feb 20 11:58:01 2025 6 relations: 604801
  134. Thu Feb 20 11:58:01 2025 7 relations: 590806
  135. Thu Feb 20 11:58:01 2025 8 relations: 560021
  136. Thu Feb 20 11:58:01 2025 9 relations: 521653
  137. Thu Feb 20 11:58:01 2025 10+ relations: 3081358
  138. Thu Feb 20 11:58:01 2025 heaviest cycle: 28 relations
  139. Thu Feb 20 11:58:05 2025 commencing cycle optimization
  140. Thu Feb 20 11:58:34 2025 start with 69876039 relations
  141. Thu Feb 20 12:02:57 2025 pruned 3364443 relations
  142. Thu Feb 20 12:02:57 2025 memory use: 1805.2 MB
  143. Thu Feb 20 12:02:57 2025 distribution of cycle lengths:
  144. Thu Feb 20 12:02:57 2025 1 relations: 386476
  145. Thu Feb 20 12:02:57 2025 2 relations: 508781
  146. Thu Feb 20 12:02:57 2025 3 relations: 602607
  147. Thu Feb 20 12:02:57 2025 4 relations: 622936
  148. Thu Feb 20 12:02:57 2025 5 relations: 646628
  149. Thu Feb 20 12:02:57 2025 6 relations: 635969
  150. Thu Feb 20 12:02:57 2025 7 relations: 623395
  151. Thu Feb 20 12:02:57 2025 8 relations: 588056
  152. Thu Feb 20 12:02:57 2025 9 relations: 547240
  153. Thu Feb 20 12:02:57 2025 10+ relations: 2871992
  154. Thu Feb 20 12:02:57 2025 heaviest cycle: 28 relations
  155. Thu Feb 20 12:03:28 2025 RelProcTime: 6623
  156. Thu Feb 20 12:03:28 2025 elapsed time 01:50:25
  157. Thu Feb 20 12:36:03 2025
  158. Thu Feb 20 12:36:03 2025
  159. Thu Feb 20 12:36:03 2025 Msieve v. 1.54 (SVN unknown)
  160. Thu Feb 20 12:36:03 2025 random seeds: b23221d7 cb12481f
  161. Thu Feb 20 12:36:03 2025 factoring 9827388311033942012931849855870513141711393004675561015400937298343848430243555958572934102690338729074922498011362192413726400841040614064339349326289767651046872347327877046889601313015175802837219091422965258758658034608077434659 (232 digits)
  162. Thu Feb 20 12:36:05 2025 no P-1/P+1/ECM available, skipping
  163. Thu Feb 20 12:36:05 2025 commencing number field sieve (232-digit input)
  164. Thu Feb 20 12:36:05 2025 R0: 6522658621783115226228577383446574051673
  165. Thu Feb 20 12:36:05 2025 R1: -1
  166. Thu Feb 20 12:36:05 2025 A0: 1
  167. Thu Feb 20 12:36:05 2025 A1: 1
  168. Thu Feb 20 12:36:05 2025 A2: 1
  169. Thu Feb 20 12:36:05 2025 A3: 1
  170. Thu Feb 20 12:36:05 2025 A4: 1
  171. Thu Feb 20 12:36:05 2025 A5: 1
  172. Thu Feb 20 12:36:05 2025 A6: 1
  173. Thu Feb 20 12:36:05 2025 skew 1.00, size 8.191e-12, alpha 2.428, combined = 5.513e-13 rroots = 0
  174. Thu Feb 20 12:36:05 2025
  175. Thu Feb 20 12:36:05 2025 commencing linear algebra
  176. Thu Feb 20 12:36:05 2025 using VBITS=512
  177. Thu Feb 20 12:36:06 2025 read 8034080 cycles
  178. Thu Feb 20 12:36:33 2025 cycles contain 25785390 unique relations
  179. Thu Feb 20 12:39:23 2025 read 25785390 relations
  180. Thu Feb 20 12:40:29 2025 using 20 quadratic characters above 4294917295
  181. Thu Feb 20 12:42:35 2025 building initial matrix
  182. Thu Feb 20 12:48:09 2025 memory use: 3185.8 MB
  183. Thu Feb 20 12:48:13 2025 read 8034080 cycles
  184. Thu Feb 20 12:48:14 2025 matrix is 8033903 x 8034080 (3542.4 MB) with weight 1009269212 (125.62/col)
  185. Thu Feb 20 12:48:14 2025 sparse part has weight 840237791 (104.58/col)
  186. Thu Feb 20 12:49:53 2025 filtering completed in 2 passes
  187. Thu Feb 20 12:49:55 2025 matrix is 8033782 x 8033924 (3542.4 MB) with weight 1009264953 (125.63/col)
  188. Thu Feb 20 12:49:55 2025 sparse part has weight 840236604 (104.59/col)
  189. Thu Feb 20 12:50:17 2025 matrix starts at (0, 0)
  190. Thu Feb 20 12:50:18 2025 matrix is 8033782 x 8033924 (3542.4 MB) with weight 1009264953 (125.63/col)
  191. Thu Feb 20 12:50:18 2025 sparse part has weight 840236604 (104.59/col)
  192. Thu Feb 20 12:50:18 2025 saving the first 496 matrix rows for later
  193. Thu Feb 20 12:50:20 2025 matrix includes 512 packed rows
  194. Thu Feb 20 12:50:25 2025 matrix is 8033286 x 8033924 (3354.5 MB) with weight 724787101 (90.22/col)
  195. Thu Feb 20 12:50:25 2025 sparse part has weight 686543375 (85.46/col)
  196. Thu Feb 20 12:50:26 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  197. Thu Feb 20 12:50:26 2025 selected card has CUDA arch 8.6
  198. Thu Feb 20 12:51:26 2025 commencing Lanczos iteration
  199. Thu Feb 20 12:51:27 2025 memory use: 9405.9 MB
  200. Thu Feb 20 12:51:56 2025 linear algebra at 0.2%, ETA 4h12m
  201. Thu Feb 20 12:51:57 2025 checkpointing every 1910000 dimensions
  202. Thu Feb 20 17:15:40 2025 lanczos halted after 15715 iterations (dim = 8033282)
  203. Thu Feb 20 17:17:27 2025 recovered 35 nontrivial dependencies
  204. Thu Feb 20 17:17:27 2025 BLanczosTime: 16882
  205. Thu Feb 20 17:17:27 2025
  206. Thu Feb 20 17:17:27 2025 commencing square root phase
  207. Thu Feb 20 17:17:27 2025 handling dependencies 1 to 64
  208. Thu Feb 20 17:17:27 2025 reading relations for dependency 1
  209. Thu Feb 20 17:17:28 2025 read 4018642 cycles
  210. Thu Feb 20 17:17:35 2025 cycles contain 12897246 unique relations
  211. Thu Feb 20 17:18:32 2025 read 12897246 relations
  212. Thu Feb 20 17:19:20 2025 multiplying 12897246 relations
  213. Thu Feb 20 17:25:37 2025 multiply complete, coefficients have about 318.74 million bits
  214. Thu Feb 20 17:25:38 2025 initial square root is modulo 523927
  215. Thu Feb 20 17:32:35 2025 GCD is 1, no factor found
  216. Thu Feb 20 17:32:35 2025 reading relations for dependency 2
  217. Thu Feb 20 17:32:36 2025 read 4016077 cycles
  218. Thu Feb 20 17:32:43 2025 cycles contain 12892828 unique relations
  219. Thu Feb 20 17:33:39 2025 read 12892828 relations
  220. Thu Feb 20 17:34:29 2025 multiplying 12892828 relations
  221. Thu Feb 20 17:40:47 2025 multiply complete, coefficients have about 318.63 million bits
  222. Thu Feb 20 17:40:49 2025 initial square root is modulo 521491
  223. Thu Feb 20 17:47:51 2025 sqrtTime: 1824
  224. Thu Feb 20 17:47:51 2025 p61 factor: 4036703027607818461766175679591295421737579378322598230776689
  225. Thu Feb 20 17:47:51 2025 p172 factor: 2434508618499421441159940471108779458306972610008338324913537840863042057893463150288378734865445959314835860319875957360397500492285732871461727028098081053523907752075731
  226. Thu Feb 20 17:47:51 2025 elapsed time 05:11:48
  227.  
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