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Feb 12th, 2025
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  1. Tue Feb 11 23:23:03 2025
  2. Tue Feb 11 23:23:03 2025
  3. Tue Feb 11 23:23:03 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Feb 11 23:23:03 2025 random seeds: 0e442412 1ba0e97f
  5. Tue Feb 11 23:23:03 2025 MPI process 0 of 1
  6. Tue Feb 11 23:23:03 2025 Using 32 OpenMP threads
  7. Tue Feb 11 23:23:03 2025 factoring 2060163645356166484033056081407551036874816983427676021617052102284213084071412832673495140233491926789648928288693458658324929190656926475087523831246625567501021 (163 digits)
  8. Tue Feb 11 23:23:04 2025 searching for 15-digit factors
  9. Tue Feb 11 23:23:04 2025 commencing number field sieve (163-digit input)
  10. Tue Feb 11 23:23:04 2025 R0: -27107189279500071421843268594344
  11. Tue Feb 11 23:23:04 2025 R1: 138696037814824379
  12. Tue Feb 11 23:23:04 2025 A0: 168586702488538713240763083625016363439
  13. Tue Feb 11 23:23:04 2025 A1: 2293338692842584416087254609623991
  14. Tue Feb 11 23:23:04 2025 A2: 88953360737807249810329371
  15. Tue Feb 11 23:23:04 2025 A3: -53842033102440761319
  16. Tue Feb 11 23:23:04 2025 A4: 1232039943422
  17. Tue Feb 11 23:23:04 2025 A5: 140760
  18. Tue Feb 11 23:23:04 2025 skew 10641876.97, size 7.500e-16, alpha -6.875, combined = 9.621e-13 rroots = 3
  19. Tue Feb 11 23:23:04 2025
  20. Tue Feb 11 23:23:04 2025 commencing relation filtering
  21. Tue Feb 11 23:23:04 2025 setting target matrix density to 120.0
  22. Tue Feb 11 23:23:04 2025 estimated available RAM is 257736.5 MB
  23. Tue Feb 11 23:23:04 2025 commencing duplicate removal, pass 1
  24. Tue Feb 11 23:23:35 2025 error -1 reading relation 14052865
  25. Tue Feb 11 23:24:27 2025 error -1 reading relation 33834571
  26. Tue Feb 11 23:25:32 2025 error -1 reading relation 57892607
  27. Tue Feb 11 23:25:45 2025 error -1 reading relation 62489898
  28. Tue Feb 11 23:25:55 2025 error -1 reading relation 66192870
  29. Tue Feb 11 23:29:37 2025 error -1 reading relation 148386508
  30. Tue Feb 11 23:29:50 2025 error -1 reading relation 152831254
  31. Tue Feb 11 23:31:03 2025 error -1 reading relation 179161396
  32. Tue Feb 11 23:32:05 2025 error -1 reading relation 201752760
  33. Tue Feb 11 23:32:26 2025 error -15 reading relation 209346391
  34. Tue Feb 11 23:32:26 2025 error -1 reading relation 209346392
  35. Tue Feb 11 23:32:39 2025 error -1 reading relation 214073947
  36. Tue Feb 11 23:32:39 2025 error -1 reading relation 214120141
  37. Tue Feb 11 23:33:19 2025 error -1 reading relation 228565784
  38. Tue Feb 11 23:33:35 2025 error -1 reading relation 234227618
  39. Tue Feb 11 23:33:44 2025 error -15 reading relation 237593369
  40. Tue Feb 11 23:34:09 2025 error -1 reading relation 247194387
  41. Tue Feb 11 23:34:16 2025 skipped 111 malformed relations
  42. Tue Feb 11 23:34:16 2025 found 47863987 hash collisions in 249339933 relations
  43. Tue Feb 11 23:34:46 2025 added 122021 free relations
  44. Tue Feb 11 23:34:46 2025 commencing duplicate removal, pass 2
  45. Tue Feb 11 23:41:30 2025 found 46638654 duplicates and 202823300 unique relations
  46. Tue Feb 11 23:41:30 2025 memory use: 1449.5 MB
  47. Tue Feb 11 23:41:30 2025 reading ideals above 720000
  48. Tue Feb 11 23:41:30 2025 commencing singleton removal, initial pass
  49. Tue Feb 11 23:58:57 2025 memory use: 5512.0 MB
  50. Tue Feb 11 23:58:57 2025 reading all ideals from disk
  51. Tue Feb 11 23:59:02 2025 memory use: 9187.6 MB
  52. Tue Feb 11 23:59:34 2025 keeping 210479966 ideals with weight <= 200, target excess is 993306
  53. Wed Feb 12 00:00:12 2025 commencing in-memory singleton removal
  54. Wed Feb 12 00:00:16 2025 begin with 202823300 relations and 210479966 unique ideals
  55. Wed Feb 12 00:00:34 2025 reduce to 88613264 relations and 78679240 ideals in 20 passes
  56. Wed Feb 12 00:00:34 2025 max relations containing the same ideal: 121
  57. Wed Feb 12 00:01:21 2025 removing 8385498 relations and 7385498 ideals in 1000000 cliques
  58. Wed Feb 12 00:01:25 2025 commencing in-memory singleton removal
  59. Wed Feb 12 00:01:27 2025 begin with 80227766 relations and 78679240 unique ideals
  60. Wed Feb 12 00:01:34 2025 reduce to 79585758 relations and 70641808 ideals in 12 passes
  61. Wed Feb 12 00:01:34 2025 max relations containing the same ideal: 110
  62. Wed Feb 12 00:02:15 2025 removing 6243553 relations and 5243553 ideals in 1000000 cliques
  63. Wed Feb 12 00:02:19 2025 commencing in-memory singleton removal
  64. Wed Feb 12 00:02:20 2025 begin with 73342205 relations and 70641808 unique ideals
  65. Wed Feb 12 00:02:26 2025 reduce to 72931999 relations and 64982473 ideals in 9 passes
  66. Wed Feb 12 00:02:26 2025 max relations containing the same ideal: 104
  67. Wed Feb 12 00:03:12 2025 removing 5583138 relations and 4583138 ideals in 1000000 cliques
  68. Wed Feb 12 00:03:15 2025 commencing in-memory singleton removal
  69. Wed Feb 12 00:03:16 2025 begin with 67348861 relations and 64982473 unique ideals
  70. Wed Feb 12 00:03:21 2025 reduce to 66987419 relations and 60033024 ideals in 9 passes
  71. Wed Feb 12 00:03:21 2025 max relations containing the same ideal: 100
  72. Wed Feb 12 00:04:00 2025 removing 5241175 relations and 4241175 ideals in 1000000 cliques
  73. Wed Feb 12 00:04:03 2025 commencing in-memory singleton removal
  74. Wed Feb 12 00:04:05 2025 begin with 61746244 relations and 60033024 unique ideals
  75. Wed Feb 12 00:04:11 2025 reduce to 61397774 relations and 55438426 ideals in 9 passes
  76. Wed Feb 12 00:04:11 2025 max relations containing the same ideal: 93
  77. Wed Feb 12 00:04:54 2025 removing 5040748 relations and 4040748 ideals in 1000000 cliques
  78. Wed Feb 12 00:04:57 2025 commencing in-memory singleton removal
  79. Wed Feb 12 00:04:58 2025 begin with 56357026 relations and 55438426 unique ideals
  80. Wed Feb 12 00:05:02 2025 reduce to 56005200 relations and 51040645 ideals in 9 passes
  81. Wed Feb 12 00:05:02 2025 max relations containing the same ideal: 88
  82. Wed Feb 12 00:05:41 2025 removing 4921757 relations and 3921757 ideals in 1000000 cliques
  83. Wed Feb 12 00:05:44 2025 commencing in-memory singleton removal
  84. Wed Feb 12 00:05:45 2025 begin with 51083443 relations and 51040645 unique ideals
  85. Wed Feb 12 00:05:49 2025 reduce to 50712454 relations and 46741980 ideals in 9 passes
  86. Wed Feb 12 00:05:49 2025 max relations containing the same ideal: 83
  87. Wed Feb 12 00:06:22 2025 removing 4853319 relations and 3853319 ideals in 1000000 cliques
  88. Wed Feb 12 00:06:26 2025 commencing in-memory singleton removal
  89. Wed Feb 12 00:06:27 2025 begin with 45859135 relations and 46741980 unique ideals
  90. Wed Feb 12 00:06:32 2025 reduce to 45455313 relations and 42477754 ideals in 10 passes
  91. Wed Feb 12 00:06:32 2025 max relations containing the same ideal: 78
  92. Wed Feb 12 00:07:01 2025 removing 4839552 relations and 3839552 ideals in 1000000 cliques
  93. Wed Feb 12 00:07:04 2025 commencing in-memory singleton removal
  94. Wed Feb 12 00:07:04 2025 begin with 40615761 relations and 42477754 unique ideals
  95. Wed Feb 12 00:07:07 2025 reduce to 40160411 relations and 38174106 ideals in 9 passes
  96. Wed Feb 12 00:07:07 2025 max relations containing the same ideal: 75
  97. Wed Feb 12 00:07:32 2025 removing 4221429 relations and 3387359 ideals in 834070 cliques
  98. Wed Feb 12 00:07:34 2025 commencing in-memory singleton removal
  99. Wed Feb 12 00:07:35 2025 begin with 35938982 relations and 38174106 unique ideals
  100. Wed Feb 12 00:07:37 2025 reduce to 35547856 relations and 34388245 ideals in 9 passes
  101. Wed Feb 12 00:07:37 2025 max relations containing the same ideal: 65
  102. Wed Feb 12 00:08:04 2025 relations with 0 large ideals: 3429
  103. Wed Feb 12 00:08:04 2025 relations with 1 large ideals: 33631
  104. Wed Feb 12 00:08:04 2025 relations with 2 large ideals: 417734
  105. Wed Feb 12 00:08:04 2025 relations with 3 large ideals: 2205090
  106. Wed Feb 12 00:08:04 2025 relations with 4 large ideals: 6160065
  107. Wed Feb 12 00:08:04 2025 relations with 5 large ideals: 9928013
  108. Wed Feb 12 00:08:04 2025 relations with 6 large ideals: 9506500
  109. Wed Feb 12 00:08:04 2025 relations with 7+ large ideals: 7293394
  110. Wed Feb 12 00:08:04 2025 commencing 2-way merge
  111. Wed Feb 12 00:08:35 2025 reduce to 20636362 relation sets and 19476751 unique ideals
  112. Wed Feb 12 00:08:35 2025 commencing full merge
  113. Wed Feb 12 00:18:23 2025 memory use: 2125.9 MB
  114. Wed Feb 12 00:18:25 2025 found 8700612 cycles, need 8676951
  115. Wed Feb 12 00:18:29 2025 weight of 8676951 cycles is about 1041370097 (120.02/cycle)
  116. Wed Feb 12 00:18:29 2025 distribution of cycle lengths:
  117. Wed Feb 12 00:18:29 2025 1 relations: 701714
  118. Wed Feb 12 00:18:29 2025 2 relations: 595456
  119. Wed Feb 12 00:18:29 2025 3 relations: 600688
  120. Wed Feb 12 00:18:29 2025 4 relations: 587409
  121. Wed Feb 12 00:18:29 2025 5 relations: 583651
  122. Wed Feb 12 00:18:29 2025 6 relations: 562920
  123. Wed Feb 12 00:18:29 2025 7 relations: 534675
  124. Wed Feb 12 00:18:29 2025 8 relations: 513312
  125. Wed Feb 12 00:18:29 2025 9 relations: 483989
  126. Wed Feb 12 00:18:29 2025 10+ relations: 3513137
  127. Wed Feb 12 00:18:29 2025 heaviest cycle: 28 relations
  128. Wed Feb 12 00:18:33 2025 commencing cycle optimization
  129. Wed Feb 12 00:19:04 2025 start with 77620889 relations
  130. Wed Feb 12 00:23:15 2025 pruned 2706531 relations
  131. Wed Feb 12 00:23:15 2025 memory use: 2215.4 MB
  132. Wed Feb 12 00:23:15 2025 distribution of cycle lengths:
  133. Wed Feb 12 00:23:15 2025 1 relations: 701714
  134. Wed Feb 12 00:23:15 2025 2 relations: 610414
  135. Wed Feb 12 00:23:15 2025 3 relations: 622991
  136. Wed Feb 12 00:23:15 2025 4 relations: 606750
  137. Wed Feb 12 00:23:15 2025 5 relations: 605029
  138. Wed Feb 12 00:23:15 2025 6 relations: 581794
  139. Wed Feb 12 00:23:15 2025 7 relations: 554227
  140. Wed Feb 12 00:23:15 2025 8 relations: 527954
  141. Wed Feb 12 00:23:15 2025 9 relations: 498326
  142. Wed Feb 12 00:23:15 2025 10+ relations: 3367752
  143. Wed Feb 12 00:23:15 2025 heaviest cycle: 28 relations
  144. Wed Feb 12 00:23:37 2025 RelProcTime: 3633
  145. Wed Feb 12 00:23:37 2025
  146. Wed Feb 12 00:23:37 2025 commencing linear algebra
  147. Wed Feb 12 00:23:37 2025 using VBITS=256
  148. Wed Feb 12 00:23:37 2025 stopping after matrix build
  149. Wed Feb 12 00:23:37 2025 initialized process (0,0) of 1 x 1 grid
  150. Wed Feb 12 00:23:39 2025 read 8676951 cycles
  151. Wed Feb 12 00:24:07 2025 cycles contain 34512500 unique relations
  152. Wed Feb 12 00:28:52 2025 read 34512500 relations
  153. Wed Feb 12 00:28:56 2025 using 20 quadratic characters above 4294917295
  154. Wed Feb 12 00:29:02 2025 building initial matrix
  155. Wed Feb 12 00:38:37 2025 memory use: 4529.5 MB
  156. Wed Feb 12 00:38:47 2025 read 8676951 cycles
  157. Wed Feb 12 00:38:49 2025 matrix is 8676773 x 8676951 (4123.5 MB) with weight 1249662439 (144.02/col)
  158. Wed Feb 12 00:38:49 2025 sparse part has weight 976823698 (112.58/col)
  159. Wed Feb 12 00:42:02 2025 filtering completed in 2 passes
  160. Wed Feb 12 00:42:05 2025 matrix is 8675892 x 8676066 (4123.4 MB) with weight 1249618050 (144.03/col)
  161. Wed Feb 12 00:42:05 2025 sparse part has weight 976809446 (112.59/col)
  162. Wed Feb 12 00:43:08 2025 BLanczosTime: 1171
  163. Wed Feb 12 00:43:08 2025 elapsed time 01:20:05
  164. Wed Feb 12 08:46:58 2025
  165. Wed Feb 12 08:46:58 2025
  166. Wed Feb 12 08:46:58 2025 Msieve v. 1.54 (SVN Unversioned directory)
  167. Wed Feb 12 08:46:58 2025 random seeds: 6356a298 466ab66e
  168. Wed Feb 12 08:46:58 2025 Using 96 OpenMP threads
  169. Wed Feb 12 08:46:58 2025 factoring 2060163645356166484033056081407551036874816983427676021617052102284213084071412832673495140233491926789648928288693458658324929190656926475087523831246625567501021 (163 digits)
  170. Wed Feb 12 08:46:58 2025 searching for 15-digit factors
  171. Wed Feb 12 08:46:58 2025 commencing number field sieve (163-digit input)
  172. Wed Feb 12 08:46:58 2025 R0: -27107189279500071421843268594344
  173. Wed Feb 12 08:46:58 2025 R1: 138696037814824379
  174. Wed Feb 12 08:46:58 2025 A0: 168586702488538713240763083625016363439
  175. Wed Feb 12 08:46:58 2025 A1: 2293338692842584416087254609623991
  176. Wed Feb 12 08:46:58 2025 A2: 88953360737807249810329371
  177. Wed Feb 12 08:46:58 2025 A3: -53842033102440761319
  178. Wed Feb 12 08:46:58 2025 A4: 1232039943422
  179. Wed Feb 12 08:46:58 2025 A5: 140760
  180. Wed Feb 12 08:46:58 2025 skew 10641876.97, size 7.500e-16, alpha -6.875, combined = 9.621e-13 rroots = 3
  181. Wed Feb 12 08:46:58 2025
  182. Wed Feb 12 08:46:58 2025 commencing linear algebra
  183. Wed Feb 12 08:46:58 2025 using VBITS=256
  184. Wed Feb 12 08:46:58 2025 skipping matrix build
  185. Wed Feb 12 08:47:01 2025 matrix starts at (0, 0)
  186. Wed Feb 12 08:47:02 2025 matrix is 8675892 x 8676066 (4123.4 MB) with weight 1249618050 (144.03/col)
  187. Wed Feb 12 08:47:02 2025 sparse part has weight 976809446 (112.59/col)
  188. Wed Feb 12 08:47:02 2025 saving the first 240 matrix rows for later
  189. Wed Feb 12 08:47:03 2025 matrix includes 256 packed rows
  190. Wed Feb 12 08:47:06 2025 matrix is 8675652 x 8676066 (3703.9 MB) with weight 890072569 (102.59/col)
  191. Wed Feb 12 08:47:06 2025 sparse part has weight 832139748 (95.91/col)
  192. Wed Feb 12 08:47:06 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  193. Wed Feb 12 08:47:23 2025 commencing Lanczos iteration (96 threads)
  194. Wed Feb 12 08:47:23 2025 memory use: 5081.2 MB
  195. Wed Feb 12 08:48:25 2025 linear algebra at 0.4%, ETA 4h47m
  196. Wed Feb 12 08:49:52 2025 checking every 30000 dimensions, checkpointing every 1890000 dimensions
  197. Wed Feb 12 13:18:00 2025 lanczos halted after 33992 iterations (dim = 8675652)
  198. Wed Feb 12 13:18:27 2025 recovered 31 nontrivial dependencies
  199. Wed Feb 12 13:18:28 2025 BLanczosTime: 16290
  200. Wed Feb 12 13:18:28 2025
  201. Wed Feb 12 13:18:28 2025 commencing square root phase
  202. Wed Feb 12 13:18:28 2025 handling dependencies 1 to 64
  203. Wed Feb 12 13:18:28 2025 reading relations for dependency 1
  204. Wed Feb 12 13:18:29 2025 read 4337508 cycles
  205. Wed Feb 12 13:18:36 2025 cycles contain 17255804 unique relations
  206. Wed Feb 12 13:22:03 2025 read 17255804 relations
  207. Wed Feb 12 13:22:54 2025 multiplying 17255804 relations
  208. Wed Feb 12 13:30:17 2025 multiply complete, coefficients have about 921.61 million bits
  209. Wed Feb 12 13:30:19 2025 initial square root is modulo 185438959
  210. Wed Feb 12 13:35:07 2025 sqrtTime: 999
  211. Wed Feb 12 13:35:07 2025 p72 factor: 233323018665004129918488480346609779626892635105954032674527830452409121
  212. Wed Feb 12 13:35:07 2025 p91 factor: 8829663087438737249221866078274144438091622949874063439078734787577371036539658521625123901
  213. Wed Feb 12 13:35:07 2025 elapsed time 04:48:09
  214.  
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