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1781xxx2333_5m1

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Aug 9th, 2019
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  1. Fri Aug 9 13:05:37 2019
  2. Fri Aug 9 13:05:37 2019
  3. Fri Aug 9 13:05:37 2019 Msieve v. 1.53 (SVN 988M)
  4. Fri Aug 9 13:05:37 2019 random seeds: 6100826d efa7d3b5
  5. Fri Aug 9 13:05:37 2019 factoring 20235461090769687474445090083363151388210212145938101954815770387988169452570578523048488725107232853169514801605590870854838079652210046103191888921 (149 digits)
  6. Fri Aug 9 13:05:38 2019 searching for 15-digit factors
  7. Fri Aug 9 13:05:39 2019 commencing number field sieve (149-digit input)
  8. Fri Aug 9 13:05:39 2019 R0: -40042722123269702609953966256
  9. Fri Aug 9 13:05:39 2019 R1: 172804110430927
  10. Fri Aug 9 13:05:39 2019 A0: -81368041975265493418315630672263417
  11. Fri Aug 9 13:05:39 2019 A1: 1021651684684491331555468035329
  12. Fri Aug 9 13:05:39 2019 A2: 1530341393851567006477598
  13. Fri Aug 9 13:05:39 2019 A3: -555426730035301969
  14. Fri Aug 9 13:05:39 2019 A4: -572466590061
  15. Fri Aug 9 13:05:39 2019 A5: 196560
  16. Fri Aug 9 13:05:39 2019 skew 1479866.47, size 2.413e-14, alpha -6.835, combined = 7.360e-12 rroots = 3
  17. Fri Aug 9 13:05:39 2019
  18. Fri Aug 9 13:05:39 2019 commencing relation filtering
  19. Fri Aug 9 13:05:39 2019 setting target matrix density to 124.0
  20. Fri Aug 9 13:05:39 2019 estimated available RAM is 32768.0 MB
  21. Fri Aug 9 13:05:39 2019 commencing duplicate removal, pass 1
  22. Fri Aug 9 13:10:42 2019 skipped 1 relations with composite factors
  23. Fri Aug 9 13:10:42 2019 found 2026207 hash collisions in 48017037 relations
  24. Fri Aug 9 13:11:05 2019 added 122024 free relations
  25. Fri Aug 9 13:11:05 2019 commencing duplicate removal, pass 2
  26. Fri Aug 9 13:11:17 2019 found 0 duplicates and 48139061 unique relations
  27. Fri Aug 9 13:11:17 2019 memory use: 130.6 MB
  28. Fri Aug 9 13:11:17 2019 reading ideals above 720000
  29. Fri Aug 9 13:11:17 2019 commencing singleton removal, initial pass
  30. Fri Aug 9 13:16:35 2019 memory use: 1378.0 MB
  31. Fri Aug 9 13:16:35 2019 reading all ideals from disk
  32. Fri Aug 9 13:17:16 2019 memory use: 1701.2 MB
  33. Fri Aug 9 13:17:20 2019 keeping 45590565 ideals with weight <= 200, target excess is 248440
  34. Fri Aug 9 13:17:25 2019 commencing in-memory singleton removal
  35. Fri Aug 9 13:17:28 2019 begin with 48139061 relations and 45590565 unique ideals
  36. Fri Aug 9 13:18:12 2019 reduce to 28808602 relations and 24044721 ideals in 16 passes
  37. Fri Aug 9 13:18:12 2019 max relations containing the same ideal: 148
  38. Fri Aug 9 13:18:27 2019 removing 4692695 relations and 3692695 ideals in 1000000 cliques
  39. Fri Aug 9 13:18:29 2019 commencing in-memory singleton removal
  40. Fri Aug 9 13:18:31 2019 begin with 24115907 relations and 24044721 unique ideals
  41. Fri Aug 9 13:18:50 2019 reduce to 23523950 relations and 19734706 ideals in 9 passes
  42. Fri Aug 9 13:18:50 2019 max relations containing the same ideal: 134
  43. Fri Aug 9 13:19:02 2019 removing 3683886 relations and 2683886 ideals in 1000000 cliques
  44. Fri Aug 9 13:19:03 2019 commencing in-memory singleton removal
  45. Fri Aug 9 13:19:04 2019 begin with 19840064 relations and 19734706 unique ideals
  46. Fri Aug 9 13:19:18 2019 reduce to 19404219 relations and 16596715 ideals in 8 passes
  47. Fri Aug 9 13:19:18 2019 max relations containing the same ideal: 123
  48. Fri Aug 9 13:19:28 2019 removing 3403440 relations and 2403440 ideals in 1000000 cliques
  49. Fri Aug 9 13:19:29 2019 commencing in-memory singleton removal
  50. Fri Aug 9 13:19:30 2019 begin with 16000779 relations and 16596715 unique ideals
  51. Fri Aug 9 13:19:42 2019 reduce to 15572407 relations and 13744350 ideals in 9 passes
  52. Fri Aug 9 13:19:42 2019 max relations containing the same ideal: 100
  53. Fri Aug 9 13:19:50 2019 removing 3267302 relations and 2267302 ideals in 1000000 cliques
  54. Fri Aug 9 13:19:51 2019 commencing in-memory singleton removal
  55. Fri Aug 9 13:19:52 2019 begin with 12305105 relations and 13744350 unique ideals
  56. Fri Aug 9 13:20:00 2019 reduce to 11834936 relations and 10979399 ideals in 8 passes
  57. Fri Aug 9 13:20:00 2019 max relations containing the same ideal: 83
  58. Fri Aug 9 13:20:06 2019 removing 2049865 relations and 1482519 ideals in 567346 cliques
  59. Fri Aug 9 13:20:07 2019 commencing in-memory singleton removal
  60. Fri Aug 9 13:20:08 2019 begin with 9785071 relations and 10979399 unique ideals
  61. Fri Aug 9 13:20:14 2019 reduce to 9548157 relations and 9249762 ideals in 8 passes
  62. Fri Aug 9 13:20:14 2019 max relations containing the same ideal: 72
  63. Fri Aug 9 13:20:19 2019 removing 73154 relations and 62950 ideals in 10204 cliques
  64. Fri Aug 9 13:20:20 2019 commencing in-memory singleton removal
  65. Fri Aug 9 13:20:20 2019 begin with 9475003 relations and 9249762 unique ideals
  66. Fri Aug 9 13:20:24 2019 reduce to 9474729 relations and 9186536 ideals in 5 passes
  67. Fri Aug 9 13:20:24 2019 max relations containing the same ideal: 72
  68. Fri Aug 9 13:20:26 2019 relations with 0 large ideals: 825
  69. Fri Aug 9 13:20:26 2019 relations with 1 large ideals: 2756
  70. Fri Aug 9 13:20:26 2019 relations with 2 large ideals: 40266
  71. Fri Aug 9 13:20:26 2019 relations with 3 large ideals: 274854
  72. Fri Aug 9 13:20:26 2019 relations with 4 large ideals: 990230
  73. Fri Aug 9 13:20:26 2019 relations with 5 large ideals: 2077131
  74. Fri Aug 9 13:20:26 2019 relations with 6 large ideals: 2670356
  75. Fri Aug 9 13:20:26 2019 relations with 7+ large ideals: 3418311
  76. Fri Aug 9 13:20:26 2019 commencing 2-way merge
  77. Fri Aug 9 13:20:32 2019 reduce to 6068345 relation sets and 5780152 unique ideals
  78. Fri Aug 9 13:20:32 2019 commencing full merge
  79. Fri Aug 9 13:23:37 2019 memory use: 791.5 MB
  80. Fri Aug 9 13:23:39 2019 found 2712789 cycles, need 2704352
  81. Fri Aug 9 13:23:39 2019 weight of 2704352 cycles is about 335660318 (124.12/cycle)
  82. Fri Aug 9 13:23:39 2019 distribution of cycle lengths:
  83. Fri Aug 9 13:23:39 2019 1 relations: 87382
  84. Fri Aug 9 13:23:39 2019 2 relations: 153260
  85. Fri Aug 9 13:23:39 2019 3 relations: 183758
  86. Fri Aug 9 13:23:39 2019 4 relations: 190258
  87. Fri Aug 9 13:23:39 2019 5 relations: 195567
  88. Fri Aug 9 13:23:39 2019 6 relations: 192739
  89. Fri Aug 9 13:23:39 2019 7 relations: 190055
  90. Fri Aug 9 13:23:39 2019 8 relations: 183023
  91. Fri Aug 9 13:23:39 2019 9 relations: 172543
  92. Fri Aug 9 13:23:39 2019 10+ relations: 1155767
  93. Fri Aug 9 13:23:39 2019 heaviest cycle: 28 relations
  94. Fri Aug 9 13:23:40 2019 commencing cycle optimization
  95. Fri Aug 9 13:23:48 2019 start with 25248827 relations
  96. Fri Aug 9 13:25:16 2019 pruned 1270215 relations
  97. Fri Aug 9 13:25:16 2019 memory use: 651.0 MB
  98. Fri Aug 9 13:25:16 2019 distribution of cycle lengths:
  99. Fri Aug 9 13:25:16 2019 1 relations: 87382
  100. Fri Aug 9 13:25:16 2019 2 relations: 157629
  101. Fri Aug 9 13:25:16 2019 3 relations: 192737
  102. Fri Aug 9 13:25:16 2019 4 relations: 199233
  103. Fri Aug 9 13:25:16 2019 5 relations: 206277
  104. Fri Aug 9 13:25:16 2019 6 relations: 203056
  105. Fri Aug 9 13:25:16 2019 7 relations: 200932
  106. Fri Aug 9 13:25:16 2019 8 relations: 192344
  107. Fri Aug 9 13:25:16 2019 9 relations: 181319
  108. Fri Aug 9 13:25:16 2019 10+ relations: 1083443
  109. Fri Aug 9 13:25:16 2019 heaviest cycle: 28 relations
  110. Fri Aug 9 13:25:27 2019 RelProcTime: 1188
  111. Fri Aug 9 13:25:27 2019 elapsed time 00:19:50
  112. Fri Aug 9 14:04:14 2019
  113. Fri Aug 9 14:04:14 2019
  114. Fri Aug 9 14:04:14 2019 Msieve v. 1.53 (SVN 988M)
  115. Fri Aug 9 14:04:14 2019 random seeds: 444eff0f c12ce06a
  116. Fri Aug 9 14:04:14 2019 factoring 20235461090769687474445090083363151388210212145938101954815770387988169452570578523048488725107232853169514801605590870854838079652210046103191888921 (149 digits)
  117. Fri Aug 9 14:04:14 2019 searching for 15-digit factors
  118. Fri Aug 9 14:04:15 2019 commencing number field sieve (149-digit input)
  119. Fri Aug 9 14:04:15 2019 R0: -40042722123269702609953966256
  120. Fri Aug 9 14:04:15 2019 R1: 172804110430927
  121. Fri Aug 9 14:04:15 2019 A0: -81368041975265493418315630672263417
  122. Fri Aug 9 14:04:15 2019 A1: 1021651684684491331555468035329
  123. Fri Aug 9 14:04:15 2019 A2: 1530341393851567006477598
  124. Fri Aug 9 14:04:16 2019 A3: -555426730035301969
  125. Fri Aug 9 14:04:16 2019 A4: -572466590061
  126. Fri Aug 9 14:04:16 2019 A5: 196560
  127. Fri Aug 9 14:04:16 2019 skew 1479866.47, size 2.413e-14, alpha -6.835, combined = 7.360e-12 rroots = 3
  128. Fri Aug 9 14:04:16 2019
  129. Fri Aug 9 14:04:16 2019 commencing linear algebra
  130. Fri Aug 9 14:04:22 2019 read 2704352 cycles
  131. Fri Aug 9 14:04:28 2019 cycles contain 9311107 unique relations
  132. Fri Aug 9 14:06:32 2019 read 9311107 relations
  133. Fri Aug 9 14:06:47 2019 using 20 quadratic characters above 4294917295
  134. Fri Aug 9 14:07:20 2019 building initial matrix
  135. Fri Aug 9 14:08:59 2019 memory use: 1281.8 MB
  136. Fri Aug 9 14:09:32 2019 read 2704352 cycles
  137. Fri Aug 9 14:09:32 2019 matrix is 2704175 x 2704352 (1293.8 MB) with weight 396019270 (146.44/col)
  138. Fri Aug 9 14:09:32 2019 sparse part has weight 309410923 (114.41/col)
  139. Fri Aug 9 14:09:57 2019 filtering completed in 2 passes
  140. Fri Aug 9 14:09:58 2019 matrix is 2704151 x 2704328 (1293.8 MB) with weight 396018292 (146.44/col)
  141. Fri Aug 9 14:09:58 2019 sparse part has weight 309410705 (114.41/col)
  142. Fri Aug 9 14:10:47 2019 matrix starts at (0, 0)
  143. Fri Aug 9 14:10:48 2019 matrix is 2704151 x 2704328 (1293.8 MB) with weight 396018292 (146.44/col)
  144. Fri Aug 9 14:10:48 2019 sparse part has weight 309410705 (114.41/col)
  145. Fri Aug 9 14:10:48 2019 saving the first 48 matrix rows for later
  146. Fri Aug 9 14:10:48 2019 matrix includes 64 packed rows
  147. Fri Aug 9 14:10:48 2019 matrix is 2704103 x 2704328 (1260.4 MB) with weight 339298938 (125.47/col)
  148. Fri Aug 9 14:10:48 2019 sparse part has weight 303356784 (112.17/col)
  149. Fri Aug 9 14:10:48 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  150. Fri Aug 9 14:11:02 2019 commencing Lanczos iteration (10 threads)
  151. Fri Aug 9 14:11:02 2019 memory use: 1036.3 MB
  152. Fri Aug 9 14:11:05 2019 linear algebra at 0.1%, ETA 1h29m
  153. Fri Aug 9 14:11:06 2019 checkpointing every 1820000 dimensions
  154. Fri Aug 9 15:35:11 2019 lanczos halted after 42765 iterations (dim = 2704103)
  155. Fri Aug 9 15:35:15 2019 recovered 32 nontrivial dependencies
  156. Fri Aug 9 15:35:16 2019 BLanczosTime: 5460
  157. Fri Aug 9 15:35:16 2019
  158. Fri Aug 9 15:35:16 2019 commencing square root phase
  159. Fri Aug 9 15:35:16 2019 reading relations for dependency 1
  160. Fri Aug 9 15:35:18 2019 read 1353018 cycles
  161. Fri Aug 9 15:35:20 2019 cycles contain 4656594 unique relations
  162. Fri Aug 9 15:37:12 2019 read 4656594 relations
  163. Fri Aug 9 15:37:27 2019 multiplying 4656594 relations
  164. Fri Aug 9 15:40:26 2019 multiply complete, coefficients have about 242.15 million bits
  165. Fri Aug 9 15:40:27 2019 initial square root is modulo 489678071
  166. Fri Aug 9 15:44:02 2019 sqrtTime: 526
  167. Fri Aug 9 15:44:02 2019 p61 factor: 6067943836439793921597090290229695597166458539059135766749241
  168. Fri Aug 9 15:44:02 2019 p88 factor: 3334813511168275876338126340174866381308085060522298192161432311713610433778432822944481
  169. Fri Aug 9 15:44:02 2019 elapsed time 01:39:48
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