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912__821_3m1

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Jan 8th, 2021
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  1. Thu Jan 7 15:40:46 2021
  2. Thu Jan 7 15:40:46 2021
  3. Thu Jan 7 15:40:46 2021 Msieve v. 1.54 (SVN 1025)
  4. Thu Jan 7 15:40:46 2021 random seeds: 04aef292 841a17cf
  5. Thu Jan 7 15:40:46 2021 factoring 6621515824951325171094856441039045660533558664014788690527865583233747418411169482555599993297406615995288061407927779760063338102421049375057466536333943 (154 digits)
  6. Thu Jan 7 15:40:46 2021 searching for 15-digit factors
  7. Thu Jan 7 15:40:47 2021 commencing number field sieve (154-digit input)
  8. Thu Jan 7 15:40:47 2021 R0: -575906001286246954328892144155
  9. Thu Jan 7 15:40:47 2021 R1: 660027818393977
  10. Thu Jan 7 15:40:47 2021 A0: -57556569783035297225331888491187805896
  11. Thu Jan 7 15:40:47 2021 A1: 74775740461540119107353513125678
  12. Thu Jan 7 15:40:47 2021 A2: -3871030059268187214553771
  13. Thu Jan 7 15:40:47 2021 A3: -16346611099489362488
  14. Thu Jan 7 15:40:47 2021 A4: -115026967968
  15. Thu Jan 7 15:40:47 2021 A5: 104520
  16. Thu Jan 7 15:40:47 2021 skew 1.00, size 5.701e-15, alpha -7.427, combined = 2.099e-14 rroots = 3
  17. Thu Jan 7 15:40:47 2021
  18. Thu Jan 7 15:40:47 2021 commencing relation filtering
  19. Thu Jan 7 15:40:47 2021 setting target matrix density to 112.0
  20. Thu Jan 7 15:40:47 2021 estimated available RAM is 15984.6 MB
  21. Thu Jan 7 15:40:47 2021 commencing duplicate removal, pass 1
  22. Thu Jan 7 15:45:57 2021 found 1902670 hash collisions in 46487002 relations
  23. Thu Jan 7 15:46:23 2021 added 121720 free relations
  24. Thu Jan 7 15:46:23 2021 commencing duplicate removal, pass 2
  25. Thu Jan 7 15:46:31 2021 found 0 duplicates and 46608722 unique relations
  26. Thu Jan 7 15:46:31 2021 memory use: 130.6 MB
  27. Thu Jan 7 15:46:31 2021 reading ideals above 720000
  28. Thu Jan 7 15:46:31 2021 commencing singleton removal, initial pass
  29. Thu Jan 7 15:50:58 2021 memory use: 1378.0 MB
  30. Thu Jan 7 15:50:58 2021 reading all ideals from disk
  31. Thu Jan 7 15:50:59 2021 memory use: 1668.9 MB
  32. Thu Jan 7 15:51:02 2021 keeping 45905926 ideals with weight <= 200, target excess is 243120
  33. Thu Jan 7 15:51:05 2021 commencing in-memory singleton removal
  34. Thu Jan 7 15:51:08 2021 begin with 46608722 relations and 45905926 unique ideals
  35. Thu Jan 7 15:51:37 2021 reduce to 27536381 relations and 24653931 ideals in 15 passes
  36. Thu Jan 7 15:51:37 2021 max relations containing the same ideal: 146
  37. Thu Jan 7 15:51:46 2021 removing 2647630 relations and 2247630 ideals in 400000 cliques
  38. Thu Jan 7 15:51:46 2021 commencing in-memory singleton removal
  39. Thu Jan 7 15:51:48 2021 begin with 24888751 relations and 24653931 unique ideals
  40. Thu Jan 7 15:52:02 2021 reduce to 24681082 relations and 22194675 ideals in 9 passes
  41. Thu Jan 7 15:52:02 2021 max relations containing the same ideal: 136
  42. Thu Jan 7 15:52:09 2021 removing 2020842 relations and 1620842 ideals in 400000 cliques
  43. Thu Jan 7 15:52:10 2021 commencing in-memory singleton removal
  44. Thu Jan 7 15:52:11 2021 begin with 22660240 relations and 22194675 unique ideals
  45. Thu Jan 7 15:52:22 2021 reduce to 22522154 relations and 20433395 ideals in 8 passes
  46. Thu Jan 7 15:52:22 2021 max relations containing the same ideal: 129
  47. Thu Jan 7 15:52:29 2021 removing 1835815 relations and 1435815 ideals in 400000 cliques
  48. Thu Jan 7 15:52:29 2021 commencing in-memory singleton removal
  49. Thu Jan 7 15:52:30 2021 begin with 20686339 relations and 20433395 unique ideals
  50. Thu Jan 7 15:52:38 2021 reduce to 20558691 relations and 18867855 ideals in 8 passes
  51. Thu Jan 7 15:52:38 2021 max relations containing the same ideal: 123
  52. Thu Jan 7 15:52:44 2021 removing 1750246 relations and 1350246 ideals in 400000 cliques
  53. Thu Jan 7 15:52:44 2021 commencing in-memory singleton removal
  54. Thu Jan 7 15:52:45 2021 begin with 18808445 relations and 18867855 unique ideals
  55. Thu Jan 7 15:52:53 2021 reduce to 18682233 relations and 17389127 ideals in 8 passes
  56. Thu Jan 7 15:52:53 2021 max relations containing the same ideal: 114
  57. Thu Jan 7 15:52:58 2021 removing 1705611 relations and 1305611 ideals in 400000 cliques
  58. Thu Jan 7 15:52:58 2021 commencing in-memory singleton removal
  59. Thu Jan 7 15:52:59 2021 begin with 16976622 relations and 17389127 unique ideals
  60. Thu Jan 7 15:53:05 2021 reduce to 16843099 relations and 15947379 ideals in 8 passes
  61. Thu Jan 7 15:53:05 2021 max relations containing the same ideal: 109
  62. Thu Jan 7 15:53:10 2021 removing 1688117 relations and 1288117 ideals in 400000 cliques
  63. Thu Jan 7 15:53:10 2021 commencing in-memory singleton removal
  64. Thu Jan 7 15:53:11 2021 begin with 15154982 relations and 15947379 unique ideals
  65. Thu Jan 7 15:53:17 2021 reduce to 15009002 relations and 14510232 ideals in 8 passes
  66. Thu Jan 7 15:53:17 2021 max relations containing the same ideal: 101
  67. Thu Jan 7 15:53:21 2021 removing 1043420 relations and 826670 ideals in 216750 cliques
  68. Thu Jan 7 15:53:21 2021 commencing in-memory singleton removal
  69. Thu Jan 7 15:53:22 2021 begin with 13965582 relations and 14510232 unique ideals
  70. Thu Jan 7 15:53:27 2021 reduce to 13906629 relations and 13623848 ideals in 7 passes
  71. Thu Jan 7 15:53:27 2021 max relations containing the same ideal: 97
  72. Thu Jan 7 15:53:32 2021 relations with 0 large ideals: 794
  73. Thu Jan 7 15:53:32 2021 relations with 1 large ideals: 2292
  74. Thu Jan 7 15:53:32 2021 relations with 2 large ideals: 35970
  75. Thu Jan 7 15:53:32 2021 relations with 3 large ideals: 268895
  76. Thu Jan 7 15:53:32 2021 relations with 4 large ideals: 1081211
  77. Thu Jan 7 15:53:32 2021 relations with 5 large ideals: 2573613
  78. Thu Jan 7 15:53:32 2021 relations with 6 large ideals: 3805416
  79. Thu Jan 7 15:53:32 2021 relations with 7+ large ideals: 6138438
  80. Thu Jan 7 15:53:32 2021 commencing 2-way merge
  81. Thu Jan 7 15:53:37 2021 reduce to 8834158 relation sets and 8551377 unique ideals
  82. Thu Jan 7 15:53:37 2021 commencing full merge
  83. Thu Jan 7 15:55:36 2021 memory use: 1034.0 MB
  84. Thu Jan 7 15:55:36 2021 found 3885316 cycles, need 3871577
  85. Thu Jan 7 15:55:37 2021 weight of 3871577 cycles is about 434016517 (112.10/cycle)
  86. Thu Jan 7 15:55:37 2021 distribution of cycle lengths:
  87. Thu Jan 7 15:55:37 2021 1 relations: 284928
  88. Thu Jan 7 15:55:37 2021 2 relations: 282998
  89. Thu Jan 7 15:55:37 2021 3 relations: 295212
  90. Thu Jan 7 15:55:37 2021 4 relations: 291158
  91. Thu Jan 7 15:55:37 2021 5 relations: 287171
  92. Thu Jan 7 15:55:37 2021 6 relations: 276861
  93. Thu Jan 7 15:55:37 2021 7 relations: 261226
  94. Thu Jan 7 15:55:37 2021 8 relations: 246248
  95. Thu Jan 7 15:55:37 2021 9 relations: 229469
  96. Thu Jan 7 15:55:37 2021 10+ relations: 1416306
  97. Thu Jan 7 15:55:37 2021 heaviest cycle: 28 relations
  98. Thu Jan 7 15:55:38 2021 commencing cycle optimization
  99. Thu Jan 7 15:55:43 2021 start with 32284818 relations
  100. Thu Jan 7 15:56:28 2021 pruned 1328990 relations
  101. Thu Jan 7 15:56:28 2021 memory use: 899.5 MB
  102. Thu Jan 7 15:56:28 2021 distribution of cycle lengths:
  103. Thu Jan 7 15:56:28 2021 1 relations: 284928
  104. Thu Jan 7 15:56:28 2021 2 relations: 290958
  105. Thu Jan 7 15:56:28 2021 3 relations: 308052
  106. Thu Jan 7 15:56:28 2021 4 relations: 302687
  107. Thu Jan 7 15:56:28 2021 5 relations: 300011
  108. Thu Jan 7 15:56:28 2021 6 relations: 288073
  109. Thu Jan 7 15:56:28 2021 7 relations: 272686
  110. Thu Jan 7 15:56:28 2021 8 relations: 254777
  111. Thu Jan 7 15:56:28 2021 9 relations: 236508
  112. Thu Jan 7 15:56:28 2021 10+ relations: 1332897
  113. Thu Jan 7 15:56:28 2021 heaviest cycle: 28 relations
  114. Thu Jan 7 15:56:34 2021 RelProcTime: 947
  115. Thu Jan 7 15:56:34 2021
  116. Thu Jan 7 15:56:34 2021 commencing linear algebra
  117. Thu Jan 7 15:56:34 2021 read 3871577 cycles
  118. Thu Jan 7 15:56:39 2021 cycles contain 13714816 unique relations
  119. Thu Jan 7 15:57:40 2021 read 13714816 relations
  120. Thu Jan 7 15:57:52 2021 using 20 quadratic characters above 4294917295
  121. Thu Jan 7 15:58:39 2021 building initial matrix
  122. Thu Jan 7 16:00:34 2021 memory use: 1867.8 MB
  123. Thu Jan 7 16:00:35 2021 read 3871577 cycles
  124. Thu Jan 7 16:00:36 2021 matrix is 3871400 x 3871577 (1715.9 MB) with weight 529266485 (136.71/col)
  125. Thu Jan 7 16:00:36 2021 sparse part has weight 403348815 (104.18/col)
  126. Thu Jan 7 16:01:05 2021 filtering completed in 2 passes
  127. Thu Jan 7 16:01:06 2021 matrix is 3871197 x 3871374 (1715.9 MB) with weight 529256961 (136.71/col)
  128. Thu Jan 7 16:01:06 2021 sparse part has weight 403346278 (104.19/col)
  129. Thu Jan 7 16:01:12 2021 matrix starts at (0, 0)
  130. Thu Jan 7 16:01:12 2021 matrix is 3871197 x 3871374 (1715.9 MB) with weight 529256961 (136.71/col)
  131. Thu Jan 7 16:01:12 2021 sparse part has weight 403346278 (104.19/col)
  132. Thu Jan 7 16:01:12 2021 saving the first 48 matrix rows for later
  133. Thu Jan 7 16:01:13 2021 matrix includes 64 packed rows
  134. Thu Jan 7 16:01:13 2021 matrix is 3871149 x 3871374 (1673.7 MB) with weight 449193538 (116.03/col)
  135. Thu Jan 7 16:01:13 2021 sparse part has weight 400048075 (103.33/col)
  136. Thu Jan 7 16:01:13 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  137. Thu Jan 7 16:01:26 2021 commencing Lanczos iteration (3 threads)
  138. Thu Jan 7 16:01:26 2021 memory use: 1549.1 MB
  139. Thu Jan 7 16:01:40 2021 linear algebra at 0.0%, ETA 9h12m
  140. Thu Jan 7 16:01:44 2021 checkpointing every 430000 dimensions
  141. Fri Jan 8 00:40:02 2021 lanczos halted after 61217 iterations (dim = 3871147)
  142. Fri Jan 8 00:40:07 2021 recovered 30 nontrivial dependencies
  143. Fri Jan 8 00:40:07 2021 BLanczosTime: 31413
  144. Fri Jan 8 00:40:07 2021
  145. Fri Jan 8 00:40:07 2021 commencing square root phase
  146. Fri Jan 8 00:40:07 2021 handling dependencies 1 to 64
  147. Fri Jan 8 00:40:07 2021 reading relations for dependency 1
  148. Fri Jan 8 00:40:08 2021 read 1934245 cycles
  149. Fri Jan 8 00:40:10 2021 cycles contain 6855714 unique relations
  150. Fri Jan 8 00:40:43 2021 read 6855714 relations
  151. Fri Jan 8 00:41:03 2021 multiplying 6855714 relations
  152. Fri Jan 8 00:46:20 2021 multiply complete, coefficients have about 357.28 million bits
  153. Fri Jan 8 00:46:22 2021 initial square root is modulo 2574851
  154. Fri Jan 8 00:52:40 2021 sqrtTime: 753
  155. Fri Jan 8 00:52:40 2021 p73 factor: 1598551851224776684083286886395111805706410780688937227668363419821772489
  156. Fri Jan 8 00:52:40 2021 p82 factor: 4142196463554222230352677416914775005452171063466959892695285872811709914173306687
  157. Fri Jan 8 00:52:40 2021 elapsed time 09:11:54
  158.  
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