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Apr 6th, 2024
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  1. Sat Apr 6 18:54:37 2024
  2. Sat Apr 6 18:54:37 2024
  3. Sat Apr 6 18:54:37 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Apr 6 18:54:37 2024 random seeds: eb0a95bf c60eafe5
  5. Sat Apr 6 18:54:37 2024 MPI process 0 of 1
  6. Sat Apr 6 18:54:37 2024 Using 32 OpenMP threads
  7. Sat Apr 6 18:54:37 2024 factoring 2475939079619189817370834952459148547785885820985761883571686385363492808547759310836316404147722442383072873342479864729095314233995887746991788033111034083278361937 (166 digits)
  8. Sat Apr 6 18:54:38 2024 searching for 15-digit factors
  9. Sat Apr 6 18:54:38 2024 commencing number field sieve (166-digit input)
  10. Sat Apr 6 18:54:38 2024 R0: -182470097579407185490549371084844
  11. Sat Apr 6 18:54:38 2024 R1: 151533001355750539
  12. Sat Apr 6 18:54:38 2024 A0: -668693248039067165266120843337823382045965
  13. Sat Apr 6 18:54:38 2024 A1: -256485309977140918846270606973678112
  14. Sat Apr 6 18:54:38 2024 A2: -11138595689015803238891887759
  15. Sat Apr 6 18:54:38 2024 A3: 132383654334765489608
  16. Sat Apr 6 18:54:38 2024 A4: 522059288916
  17. Sat Apr 6 18:54:38 2024 A5: 12240
  18. Sat Apr 6 18:54:38 2024 skew 54314702.04, size 3.495e-16, alpha -8.146, combined = 6.002e-13 rroots = 3
  19. Sat Apr 6 18:54:38 2024
  20. Sat Apr 6 18:54:38 2024 commencing relation filtering
  21. Sat Apr 6 18:54:38 2024 setting target matrix density to 130.0
  22. Sat Apr 6 18:54:38 2024 estimated available RAM is 257736.5 MB
  23. Sat Apr 6 18:54:38 2024 commencing duplicate removal, pass 1
  24. Sat Apr 6 18:56:18 2024 error -1 reading relation 45502661
  25. Sat Apr 6 18:56:30 2024 error -1 reading relation 51162015
  26. Sat Apr 6 18:58:57 2024 error -1 reading relation 119678823
  27. Sat Apr 6 18:59:08 2024 error -1 reading relation 124385969
  28. Sat Apr 6 19:01:22 2024 error -1 reading relation 184711441
  29. Sat Apr 6 19:01:35 2024 error -1 reading relation 190689898
  30. Sat Apr 6 19:01:44 2024 error -1 reading relation 194679315
  31. Sat Apr 6 19:02:12 2024 error -1 reading relation 206808826
  32. Sat Apr 6 19:02:17 2024 error -1 reading relation 209014187
  33. Sat Apr 6 19:02:51 2024 error -1 reading relation 225088799
  34. Sat Apr 6 19:03:16 2024 skipped 2 relations with composite factors
  35. Sat Apr 6 19:03:16 2024 skipped 79 malformed relations
  36. Sat Apr 6 19:03:16 2024 found 50975623 hash collisions in 236305393 relations
  37. Sat Apr 6 19:03:38 2024 added 121824 free relations
  38. Sat Apr 6 19:03:38 2024 commencing duplicate removal, pass 2
  39. Sat Apr 6 19:08:17 2024 found 50995210 duplicates and 185432007 unique relations
  40. Sat Apr 6 19:08:17 2024 memory use: 1449.5 MB
  41. Sat Apr 6 19:08:17 2024 reading ideals above 720000
  42. Sat Apr 6 19:08:18 2024 commencing singleton removal, initial pass
  43. Sat Apr 6 19:21:21 2024 memory use: 5512.0 MB
  44. Sat Apr 6 19:21:21 2024 reading all ideals from disk
  45. Sat Apr 6 19:21:24 2024 memory use: 8418.2 MB
  46. Sat Apr 6 19:21:42 2024 keeping 188527790 ideals with weight <= 200, target excess is 1007368
  47. Sat Apr 6 19:22:04 2024 commencing in-memory singleton removal
  48. Sat Apr 6 19:22:07 2024 begin with 185432007 relations and 188527790 unique ideals
  49. Sat Apr 6 19:22:18 2024 reduce to 80652952 relations and 69170855 ideals in 18 passes
  50. Sat Apr 6 19:22:18 2024 max relations containing the same ideal: 120
  51. Sat Apr 6 19:22:50 2024 removing 12008190 relations and 10008190 ideals in 2000000 cliques
  52. Sat Apr 6 19:22:54 2024 commencing in-memory singleton removal
  53. Sat Apr 6 19:22:55 2024 begin with 68644762 relations and 69170855 unique ideals
  54. Sat Apr 6 19:22:59 2024 reduce to 67320980 relations and 57798021 ideals in 11 passes
  55. Sat Apr 6 19:22:59 2024 max relations containing the same ideal: 106
  56. Sat Apr 6 19:23:24 2024 removing 9152930 relations and 7152930 ideals in 2000000 cliques
  57. Sat Apr 6 19:23:27 2024 commencing in-memory singleton removal
  58. Sat Apr 6 19:23:27 2024 begin with 58168050 relations and 57798021 unique ideals
  59. Sat Apr 6 19:23:30 2024 reduce to 57226998 relations and 49676297 ideals in 9 passes
  60. Sat Apr 6 19:23:30 2024 max relations containing the same ideal: 100
  61. Sat Apr 6 19:23:51 2024 removing 8309954 relations and 6309954 ideals in 2000000 cliques
  62. Sat Apr 6 19:23:54 2024 commencing in-memory singleton removal
  63. Sat Apr 6 19:23:54 2024 begin with 48917044 relations and 49676297 unique ideals
  64. Sat Apr 6 19:23:56 2024 reduce to 48017733 relations and 42437693 ideals in 10 passes
  65. Sat Apr 6 19:23:56 2024 max relations containing the same ideal: 89
  66. Sat Apr 6 19:24:13 2024 removing 7889798 relations and 5889798 ideals in 2000000 cliques
  67. Sat Apr 6 19:24:16 2024 commencing in-memory singleton removal
  68. Sat Apr 6 19:24:16 2024 begin with 40127935 relations and 42437693 unique ideals
  69. Sat Apr 6 19:24:18 2024 reduce to 39184509 relations and 35568984 ideals in 9 passes
  70. Sat Apr 6 19:24:18 2024 max relations containing the same ideal: 74
  71. Sat Apr 6 19:24:31 2024 removing 7639096 relations and 5639096 ideals in 2000000 cliques
  72. Sat Apr 6 19:24:33 2024 commencing in-memory singleton removal
  73. Sat Apr 6 19:24:34 2024 begin with 31545413 relations and 35568984 unique ideals
  74. Sat Apr 6 19:24:35 2024 reduce to 30476850 relations and 28812459 ideals in 10 passes
  75. Sat Apr 6 19:24:35 2024 max relations containing the same ideal: 62
  76. Sat Apr 6 19:24:46 2024 removing 2572722 relations and 2076878 ideals in 495844 cliques
  77. Sat Apr 6 19:24:47 2024 commencing in-memory singleton removal
  78. Sat Apr 6 19:24:48 2024 begin with 27904128 relations and 28812459 unique ideals
  79. Sat Apr 6 19:24:49 2024 reduce to 27769881 relations and 26599355 ideals in 8 passes
  80. Sat Apr 6 19:24:49 2024 max relations containing the same ideal: 58
  81. Sat Apr 6 19:25:03 2024 relations with 0 large ideals: 3416
  82. Sat Apr 6 19:25:03 2024 relations with 1 large ideals: 45790
  83. Sat Apr 6 19:25:03 2024 relations with 2 large ideals: 512554
  84. Sat Apr 6 19:25:03 2024 relations with 3 large ideals: 2389064
  85. Sat Apr 6 19:25:03 2024 relations with 4 large ideals: 5793429
  86. Sat Apr 6 19:25:03 2024 relations with 5 large ideals: 7986329
  87. Sat Apr 6 19:25:03 2024 relations with 6 large ideals: 6594165
  88. Sat Apr 6 19:25:03 2024 relations with 7+ large ideals: 4445134
  89. Sat Apr 6 19:25:03 2024 commencing 2-way merge
  90. Sat Apr 6 19:25:17 2024 reduce to 16656662 relation sets and 15486136 unique ideals
  91. Sat Apr 6 19:25:17 2024 commencing full merge
  92. Sat Apr 6 19:29:42 2024 memory use: 1863.3 MB
  93. Sat Apr 6 19:29:43 2024 found 7263003 cycles, need 7196336
  94. Sat Apr 6 19:29:45 2024 weight of 7196336 cycles is about 936188623 (130.09/cycle)
  95. Sat Apr 6 19:29:45 2024 distribution of cycle lengths:
  96. Sat Apr 6 19:29:45 2024 1 relations: 272814
  97. Sat Apr 6 19:29:45 2024 2 relations: 393389
  98. Sat Apr 6 19:29:45 2024 3 relations: 465185
  99. Sat Apr 6 19:29:45 2024 4 relations: 481007
  100. Sat Apr 6 19:29:45 2024 5 relations: 496892
  101. Sat Apr 6 19:29:45 2024 6 relations: 493386
  102. Sat Apr 6 19:29:45 2024 7 relations: 483218
  103. Sat Apr 6 19:29:45 2024 8 relations: 467069
  104. Sat Apr 6 19:29:45 2024 9 relations: 445761
  105. Sat Apr 6 19:29:45 2024 10+ relations: 3197615
  106. Sat Apr 6 19:29:45 2024 heaviest cycle: 28 relations
  107. Sat Apr 6 19:29:46 2024 commencing cycle optimization
  108. Sat Apr 6 19:30:00 2024 start with 68266464 relations
  109. Sat Apr 6 19:32:06 2024 pruned 2856588 relations
  110. Sat Apr 6 19:32:06 2024 memory use: 1831.2 MB
  111. Sat Apr 6 19:32:06 2024 distribution of cycle lengths:
  112. Sat Apr 6 19:32:06 2024 1 relations: 272814
  113. Sat Apr 6 19:32:06 2024 2 relations: 403879
  114. Sat Apr 6 19:32:06 2024 3 relations: 484220
  115. Sat Apr 6 19:32:06 2024 4 relations: 500236
  116. Sat Apr 6 19:32:06 2024 5 relations: 520598
  117. Sat Apr 6 19:32:06 2024 6 relations: 514597
  118. Sat Apr 6 19:32:06 2024 7 relations: 505577
  119. Sat Apr 6 19:32:06 2024 8 relations: 488284
  120. Sat Apr 6 19:32:06 2024 9 relations: 465477
  121. Sat Apr 6 19:32:06 2024 10+ relations: 3040654
  122. Sat Apr 6 19:32:06 2024 heaviest cycle: 28 relations
  123. Sat Apr 6 19:32:15 2024 RelProcTime: 2257
  124. Sat Apr 6 19:32:15 2024 elapsed time 00:37:38
  125. Sat Apr 6 19:35:29 2024
  126. Sat Apr 6 19:35:29 2024
  127. Sat Apr 6 19:35:29 2024 Msieve v. 1.54 (SVN Unversioned directory)
  128. Sat Apr 6 19:35:29 2024 random seeds: b71bcc19 a8dc2421
  129. Sat Apr 6 19:35:29 2024 MPI process 0 of 1
  130. Sat Apr 6 19:35:29 2024 Using 64 OpenMP threads
  131. Sat Apr 6 19:35:29 2024 factoring 2475939079619189817370834952459148547785885820985761883571686385363492808547759310836316404147722442383072873342479864729095314233995887746991788033111034083278361937 (166 digits)
  132. Sat Apr 6 19:35:30 2024 searching for 15-digit factors
  133. Sat Apr 6 19:35:31 2024 commencing number field sieve (166-digit input)
  134. Sat Apr 6 19:35:31 2024 R0: -182470097579407185490549371084844
  135. Sat Apr 6 19:35:31 2024 R1: 151533001355750539
  136. Sat Apr 6 19:35:31 2024 A0: -668693248039067165266120843337823382045965
  137. Sat Apr 6 19:35:31 2024 A1: -256485309977140918846270606973678112
  138. Sat Apr 6 19:35:31 2024 A2: -11138595689015803238891887759
  139. Sat Apr 6 19:35:31 2024 A3: 132383654334765489608
  140. Sat Apr 6 19:35:31 2024 A4: 522059288916
  141. Sat Apr 6 19:35:31 2024 A5: 12240
  142. Sat Apr 6 19:35:31 2024 skew 54314702.04, size 3.495e-16, alpha -8.146, combined = 6.002e-13 rroots = 3
  143. Sat Apr 6 19:35:31 2024
  144. Sat Apr 6 19:35:31 2024 commencing linear algebra
  145. Sat Apr 6 19:35:31 2024 using VBITS=256
  146. Sat Apr 6 19:35:31 2024 initialized process (0,0) of 1 x 1 grid
  147. Sat Apr 6 19:35:32 2024 read 7196336 cycles
  148. Sat Apr 6 19:35:50 2024 cycles contain 27013946 unique relations
  149. Sat Apr 6 19:39:34 2024 read 27013946 relations
  150. Sat Apr 6 19:39:36 2024 using 20 quadratic characters above 4294917295
  151. Sat Apr 6 19:39:39 2024 building initial matrix
  152. Sat Apr 6 19:44:14 2024 memory use: 3710.7 MB
  153. Sat Apr 6 19:44:20 2024 read 7196336 cycles
  154. Sat Apr 6 19:44:21 2024 matrix is 7196158 x 7196336 (3653.2 MB) with weight 1123753288 (156.16/col)
  155. Sat Apr 6 19:44:21 2024 sparse part has weight 871296152 (121.07/col)
  156. Sat Apr 6 19:45:35 2024 filtering completed in 2 passes
  157. Sat Apr 6 19:45:36 2024 matrix is 7195759 x 7195937 (3653.1 MB) with weight 1123731681 (156.16/col)
  158. Sat Apr 6 19:45:36 2024 sparse part has weight 871289371 (121.08/col)
  159. Sat Apr 6 19:46:17 2024 matrix starts at (0, 0)
  160. Sat Apr 6 19:46:18 2024 matrix is 7195759 x 7195937 (3653.1 MB) with weight 1123731681 (156.16/col)
  161. Sat Apr 6 19:46:18 2024 sparse part has weight 871289371 (121.08/col)
  162. Sat Apr 6 19:46:18 2024 saving the first 240 matrix rows for later
  163. Sat Apr 6 19:46:20 2024 matrix includes 256 packed rows
  164. Sat Apr 6 19:46:22 2024 matrix is 7195519 x 7195937 (3290.3 MB) with weight 800541387 (111.25/col)
  165. Sat Apr 6 19:46:22 2024 sparse part has weight 747397181 (103.86/col)
  166. Sat Apr 6 19:46:22 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  167. Sat Apr 6 19:46:38 2024 commencing Lanczos iteration (64 threads)
  168. Sat Apr 6 19:46:38 2024 memory use: 4628.3 MB
  169. Sat Apr 6 19:47:41 2024 linear algebra at 0.4%, ETA 3h57m
  170. Sat Apr 6 19:49:14 2024 checking every 20000 dimensions, checkpointing every 1800000 dimensions
  171. Sat Apr 6 23:44:37 2024 lanczos halted after 28193 iterations (dim = 7195519)
  172. Sat Apr 6 23:45:01 2024 recovered 31 nontrivial dependencies
  173. Sat Apr 6 23:45:02 2024 BLanczosTime: 14971
  174. Sat Apr 6 23:45:02 2024
  175. Sat Apr 6 23:45:02 2024 commencing square root phase
  176. Sat Apr 6 23:45:02 2024 reading relations for dependency 1
  177. Sat Apr 6 23:45:02 2024 read 3598953 cycles
  178. Sat Apr 6 23:45:08 2024 cycles contain 13507534 unique relations
  179. Sat Apr 6 23:48:50 2024 read 13507534 relations
  180. Sat Apr 6 23:49:51 2024 multiplying 13507534 relations
  181. Sat Apr 6 23:51:11 2024 multiply complete, coefficients have about 700.74 million bits
  182. Sat Apr 6 23:51:13 2024 initial square root is modulo 1935341
  183. Sat Apr 6 23:56:14 2024 GCD is 1, no factor found
  184. Sat Apr 6 23:56:14 2024 reading relations for dependency 2
  185. Sat Apr 6 23:56:15 2024 read 3595052 cycles
  186. Sat Apr 6 23:56:22 2024 cycles contain 13501910 unique relations
  187. Sun Apr 7 00:00:24 2024 read 13501910 relations
  188. Sun Apr 7 00:01:33 2024 multiplying 13501910 relations
  189. Sun Apr 7 00:03:18 2024 multiply complete, coefficients have about 700.45 million bits
  190. Sun Apr 7 00:03:21 2024 initial square root is modulo 1923833
  191. Sun Apr 7 00:09:40 2024 sqrtTime: 1478
  192. Sun Apr 7 00:09:40 2024 p68 factor: 30334869121970045664227979044838728871470946773042087765043100834591
  193. Sun Apr 7 00:09:40 2024 p98 factor: 81620232797575829186062840601675052508951787299755364270234684920033879362898146005813247484817807
  194. Sun Apr 7 00:09:40 2024 elapsed time 04:34:11
  195.  
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