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Dec 29th, 2021
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  1. Wed Dec 29 01:01:40 2021
  2. Wed Dec 29 01:01:40 2021
  3. Wed Dec 29 01:01:40 2021 Msieve v. 1.54 (SVN 1043M)
  4. Wed Dec 29 01:01:40 2021 random seeds: 82542932 50222f36
  5. Wed Dec 29 01:01:40 2021 factoring 6682345491928982710749553859301454850873621986034653796360302287742634674522890853659208390288765861710933234772755136966530159738583365031662488031758491 (154 digits)
  6. Wed Dec 29 01:01:41 2021 searching for 15-digit factors
  7. Wed Dec 29 01:01:41 2021 commencing number field sieve (154-digit input)
  8. Wed Dec 29 01:01:41 2021 R0: -664747454709504388737452699334
  9. Wed Dec 29 01:01:41 2021 R1: 279714214710871901
  10. Wed Dec 29 01:01:41 2021 A0: 2503778734882820183133140863809297017
  11. Wed Dec 29 01:01:41 2021 A1: 5408184092046094854396063380719
  12. Wed Dec 29 01:01:41 2021 A2: -20301901885177954579032035
  13. Wed Dec 29 01:01:41 2021 A3: -6947094244653247
  14. Wed Dec 29 01:01:41 2021 A4: 1964091599346
  15. Wed Dec 29 01:01:41 2021 A5: 51480
  16. Wed Dec 29 01:01:41 2021 skew 3117654.83, size 5.662e-15, alpha -6.853, combined = 3.131e-12 rroots = 5
  17. Wed Dec 29 01:01:41 2021
  18. Wed Dec 29 01:01:41 2021 commencing relation filtering
  19. Wed Dec 29 01:01:41 2021 setting target matrix density to 120.0
  20. Wed Dec 29 01:01:41 2021 estimated available RAM is 63624.2 MB
  21. Wed Dec 29 01:01:41 2021 commencing duplicate removal, pass 1
  22. Wed Dec 29 01:08:17 2021 found 1896468 hash collisions in 46436882 relations
  23. Wed Dec 29 01:08:46 2021 added 121542 free relations
  24. Wed Dec 29 01:08:46 2021 commencing duplicate removal, pass 2
  25. Wed Dec 29 01:08:57 2021 found 1 duplicates and 46558423 unique relations
  26. Wed Dec 29 01:08:57 2021 memory use: 130.6 MB
  27. Wed Dec 29 01:08:57 2021 reading ideals above 720000
  28. Wed Dec 29 01:08:57 2021 commencing singleton removal, initial pass
  29. Wed Dec 29 01:14:46 2021 memory use: 1378.0 MB
  30. Wed Dec 29 01:14:46 2021 reading all ideals from disk
  31. Wed Dec 29 01:14:47 2021 memory use: 1670.4 MB
  32. Wed Dec 29 01:14:51 2021 keeping 45680417 ideals with weight <= 200, target excess is 252900
  33. Wed Dec 29 01:14:56 2021 commencing in-memory singleton removal
  34. Wed Dec 29 01:14:59 2021 begin with 46558423 relations and 45680417 unique ideals
  35. Wed Dec 29 01:15:45 2021 reduce to 26846812 relations and 23645184 ideals in 16 passes
  36. Wed Dec 29 01:15:45 2021 max relations containing the same ideal: 144
  37. Wed Dec 29 01:15:58 2021 removing 2661981 relations and 2261982 ideals in 400000 cliques
  38. Wed Dec 29 01:15:59 2021 commencing in-memory singleton removal
  39. Wed Dec 29 01:16:01 2021 begin with 24184831 relations and 23645184 unique ideals
  40. Wed Dec 29 01:16:21 2021 reduce to 23986479 relations and 21181119 ideals in 9 passes
  41. Wed Dec 29 01:16:21 2021 max relations containing the same ideal: 134
  42. Wed Dec 29 01:16:33 2021 removing 2012083 relations and 1612083 ideals in 400000 cliques
  43. Wed Dec 29 01:16:34 2021 commencing in-memory singleton removal
  44. Wed Dec 29 01:16:36 2021 begin with 21974396 relations and 21181119 unique ideals
  45. Wed Dec 29 01:16:53 2021 reduce to 21845340 relations and 19437824 ideals in 8 passes
  46. Wed Dec 29 01:16:53 2021 max relations containing the same ideal: 125
  47. Wed Dec 29 01:17:03 2021 removing 1813668 relations and 1413668 ideals in 400000 cliques
  48. Wed Dec 29 01:17:04 2021 commencing in-memory singleton removal
  49. Wed Dec 29 01:17:06 2021 begin with 20031672 relations and 19437824 unique ideals
  50. Wed Dec 29 01:17:20 2021 reduce to 19916487 relations and 17907055 ideals in 8 passes
  51. Wed Dec 29 01:17:20 2021 max relations containing the same ideal: 117
  52. Wed Dec 29 01:17:30 2021 removing 1712140 relations and 1312140 ideals in 400000 cliques
  53. Wed Dec 29 01:17:31 2021 commencing in-memory singleton removal
  54. Wed Dec 29 01:17:33 2021 begin with 18204347 relations and 17907055 unique ideals
  55. Wed Dec 29 01:17:47 2021 reduce to 18093070 relations and 16481627 ideals in 8 passes
  56. Wed Dec 29 01:17:47 2021 max relations containing the same ideal: 112
  57. Wed Dec 29 01:17:56 2021 removing 1650357 relations and 1250357 ideals in 400000 cliques
  58. Wed Dec 29 01:17:57 2021 commencing in-memory singleton removal
  59. Wed Dec 29 01:17:59 2021 begin with 16442713 relations and 16481627 unique ideals
  60. Wed Dec 29 01:18:12 2021 reduce to 16330140 relations and 15116595 ideals in 7 passes
  61. Wed Dec 29 01:18:12 2021 max relations containing the same ideal: 105
  62. Wed Dec 29 01:18:21 2021 removing 1613519 relations and 1213519 ideals in 400000 cliques
  63. Wed Dec 29 01:18:22 2021 commencing in-memory singleton removal
  64. Wed Dec 29 01:18:23 2021 begin with 14716621 relations and 15116595 unique ideals
  65. Wed Dec 29 01:18:34 2021 reduce to 14600102 relations and 13784122 ideals in 7 passes
  66. Wed Dec 29 01:18:34 2021 max relations containing the same ideal: 98
  67. Wed Dec 29 01:18:41 2021 removing 1587326 relations and 1187326 ideals in 400000 cliques
  68. Wed Dec 29 01:18:42 2021 commencing in-memory singleton removal
  69. Wed Dec 29 01:18:43 2021 begin with 13012776 relations and 13784122 unique ideals
  70. Wed Dec 29 01:18:55 2021 reduce to 12886073 relations and 12467288 ideals in 8 passes
  71. Wed Dec 29 01:18:55 2021 max relations containing the same ideal: 90
  72. Wed Dec 29 01:19:02 2021 removing 624502 relations and 499082 ideals in 125420 cliques
  73. Wed Dec 29 01:19:02 2021 commencing in-memory singleton removal
  74. Wed Dec 29 01:19:03 2021 begin with 12261571 relations and 12467288 unique ideals
  75. Wed Dec 29 01:19:11 2021 reduce to 12241980 relations and 11948448 ideals in 7 passes
  76. Wed Dec 29 01:19:11 2021 max relations containing the same ideal: 88
  77. Wed Dec 29 01:19:19 2021 relations with 0 large ideals: 760
  78. Wed Dec 29 01:19:19 2021 relations with 1 large ideals: 2462
  79. Wed Dec 29 01:19:19 2021 relations with 2 large ideals: 36866
  80. Wed Dec 29 01:19:19 2021 relations with 3 large ideals: 268481
  81. Wed Dec 29 01:19:19 2021 relations with 4 large ideals: 1041782
  82. Wed Dec 29 01:19:19 2021 relations with 5 large ideals: 2385166
  83. Wed Dec 29 01:19:19 2021 relations with 6 large ideals: 3370578
  84. Wed Dec 29 01:19:19 2021 relations with 7+ large ideals: 5135885
  85. Wed Dec 29 01:19:19 2021 commencing 2-way merge
  86. Wed Dec 29 01:19:28 2021 reduce to 7836945 relation sets and 7543413 unique ideals
  87. Wed Dec 29 01:19:28 2021 commencing full merge
  88. Wed Dec 29 01:22:39 2021 memory use: 983.1 MB
  89. Wed Dec 29 01:22:39 2021 found 3493305 cycles, need 3477613
  90. Wed Dec 29 01:22:41 2021 weight of 3477613 cycles is about 417615069 (120.09/cycle)
  91. Wed Dec 29 01:22:41 2021 distribution of cycle lengths:
  92. Wed Dec 29 01:22:41 2021 1 relations: 148639
  93. Wed Dec 29 01:22:41 2021 2 relations: 219492
  94. Wed Dec 29 01:22:41 2021 3 relations: 251463
  95. Wed Dec 29 01:22:41 2021 4 relations: 255714
  96. Wed Dec 29 01:22:41 2021 5 relations: 256504
  97. Wed Dec 29 01:22:41 2021 6 relations: 250611
  98. Wed Dec 29 01:22:41 2021 7 relations: 242636
  99. Wed Dec 29 01:22:41 2021 8 relations: 229925
  100. Wed Dec 29 01:22:41 2021 9 relations: 216569
  101. Wed Dec 29 01:22:41 2021 10+ relations: 1406060
  102. Wed Dec 29 01:22:41 2021 heaviest cycle: 28 relations
  103. Wed Dec 29 01:22:42 2021 commencing cycle optimization
  104. Wed Dec 29 01:22:49 2021 start with 31029903 relations
  105. Wed Dec 29 01:24:01 2021 pruned 1416137 relations
  106. Wed Dec 29 01:24:01 2021 memory use: 825.1 MB
  107. Wed Dec 29 01:24:01 2021 distribution of cycle lengths:
  108. Wed Dec 29 01:24:01 2021 1 relations: 148639
  109. Wed Dec 29 01:24:01 2021 2 relations: 225932
  110. Wed Dec 29 01:24:01 2021 3 relations: 263062
  111. Wed Dec 29 01:24:01 2021 4 relations: 266638
  112. Wed Dec 29 01:24:01 2021 5 relations: 269475
  113. Wed Dec 29 01:24:01 2021 6 relations: 261715
  114. Wed Dec 29 01:24:01 2021 7 relations: 254451
  115. Wed Dec 29 01:24:01 2021 8 relations: 239912
  116. Wed Dec 29 01:24:01 2021 9 relations: 226394
  117. Wed Dec 29 01:24:01 2021 10+ relations: 1321395
  118. Wed Dec 29 01:24:01 2021 heaviest cycle: 28 relations
  119. Wed Dec 29 01:24:09 2021 RelProcTime: 1348
  120. Wed Dec 29 01:24:09 2021 elapsed time 00:22:29
  121. Wed Dec 29 01:26:10 2021
  122. Wed Dec 29 01:26:10 2021
  123. Wed Dec 29 01:26:10 2021 Msieve v. 1.54 (SVN 1043M)
  124. Wed Dec 29 01:26:10 2021 random seeds: 91412b29 e4dac704
  125. Wed Dec 29 01:26:10 2021 factoring 6682345491928982710749553859301454850873621986034653796360302287742634674522890853659208390288765861710933234772755136966530159738583365031662488031758491 (154 digits)
  126. Wed Dec 29 01:26:10 2021 searching for 15-digit factors
  127. Wed Dec 29 01:26:11 2021 commencing number field sieve (154-digit input)
  128. Wed Dec 29 01:26:11 2021 R0: -664747454709504388737452699334
  129. Wed Dec 29 01:26:11 2021 R1: 279714214710871901
  130. Wed Dec 29 01:26:11 2021 A0: 2503778734882820183133140863809297017
  131. Wed Dec 29 01:26:11 2021 A1: 5408184092046094854396063380719
  132. Wed Dec 29 01:26:11 2021 A2: -20301901885177954579032035
  133. Wed Dec 29 01:26:11 2021 A3: -6947094244653247
  134. Wed Dec 29 01:26:11 2021 A4: 1964091599346
  135. Wed Dec 29 01:26:11 2021 A5: 51480
  136. Wed Dec 29 01:26:11 2021 skew 3117654.83, size 5.662e-15, alpha -6.853, combined = 3.131e-12 rroots = 5
  137. Wed Dec 29 01:26:11 2021
  138. Wed Dec 29 01:26:11 2021 commencing linear algebra
  139. Wed Dec 29 01:26:11 2021 read 3477613 cycles
  140. Wed Dec 29 01:26:20 2021 cycles contain 12079262 unique relations
  141. Wed Dec 29 01:27:24 2021 read 12079262 relations
  142. Wed Dec 29 01:27:43 2021 using 20 quadratic characters above 4294917295
  143. Wed Dec 29 01:28:45 2021 building initial matrix
  144. Wed Dec 29 01:31:24 2021 memory use: 1651.6 MB
  145. Wed Dec 29 01:31:26 2021 read 3477613 cycles
  146. Wed Dec 29 01:31:27 2021 matrix is 3477436 x 3477613 (1624.8 MB) with weight 499153003 (143.53/col)
  147. Wed Dec 29 01:31:27 2021 sparse part has weight 387676647 (111.48/col)
  148. Wed Dec 29 01:32:15 2021 filtering completed in 2 passes
  149. Wed Dec 29 01:32:16 2021 matrix is 3477367 x 3477544 (1624.8 MB) with weight 499149939 (143.54/col)
  150. Wed Dec 29 01:32:16 2021 sparse part has weight 387675931 (111.48/col)
  151. Wed Dec 29 01:32:27 2021 matrix starts at (0, 0)
  152. Wed Dec 29 01:32:27 2021 matrix is 3477367 x 3477544 (1624.8 MB) with weight 499149939 (143.54/col)
  153. Wed Dec 29 01:32:27 2021 sparse part has weight 387675931 (111.48/col)
  154. Wed Dec 29 01:32:27 2021 saving the first 48 matrix rows for later
  155. Wed Dec 29 01:32:28 2021 matrix includes 64 packed rows
  156. Wed Dec 29 01:32:28 2021 matrix is 3477319 x 3477544 (1585.4 MB) with weight 425239473 (122.28/col)
  157. Wed Dec 29 01:32:28 2021 sparse part has weight 380817432 (109.51/col)
  158. Wed Dec 29 01:32:28 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  159. Wed Dec 29 01:32:41 2021 commencing Lanczos iteration (4 threads)
  160. Wed Dec 29 01:32:41 2021 memory use: 1470.6 MB
  161. Wed Dec 29 01:32:53 2021 linear algebra at 0.0%, ETA 7h 0m
  162. Wed Dec 29 01:32:57 2021 checkpointing every 490000 dimensions
  163. Wed Dec 29 08:59:29 2021 lanczos halted after 54984 iterations (dim = 3477319)
  164. Wed Dec 29 08:59:32 2021 recovered 31 nontrivial dependencies
  165. Wed Dec 29 08:59:32 2021 BLanczosTime: 27201
  166. Wed Dec 29 08:59:32 2021
  167. Wed Dec 29 08:59:32 2021 commencing square root phase
  168. Wed Dec 29 08:59:32 2021 reading relations for dependency 1
  169. Wed Dec 29 08:59:32 2021 read 1739754 cycles
  170. Wed Dec 29 08:59:36 2021 cycles contain 6039872 unique relations
  171. Wed Dec 29 09:00:11 2021 read 6039872 relations
  172. Wed Dec 29 09:00:43 2021 multiplying 6039872 relations
  173. Wed Dec 29 09:06:09 2021 multiply complete, coefficients have about 320.47 million bits
  174. Wed Dec 29 09:06:11 2021 initial square root is modulo 562651
  175. Wed Dec 29 09:13:01 2021 sqrtTime: 809
  176. Wed Dec 29 09:13:01 2021 p75 factor: 672589327585043350548998201696384126864433542622119256019582546210717852201
  177. Wed Dec 29 09:13:01 2021 p79 factor: 9935253531188473194891009172908112364455315249514015309869047491353972567168291
  178. Wed Dec 29 09:13:01 2021 elapsed time 07:46:51
  179.  
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