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C153_11040_10188 postprocessing log

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Feb 24th, 2021
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  1. Wed Feb 24 04:22:13 2021
  2. Wed Feb 24 04:22:13 2021
  3. Wed Feb 24 04:22:13 2021 Msieve v. 1.54 (SVN 1025)
  4. Wed Feb 24 04:22:13 2021 random seeds: edeca9ec 85783d81
  5. Wed Feb 24 04:22:13 2021 factoring 503205239847885675926605531320548084259945256547161532258322496514432587125704420384898361465557414017313698710982344126461414001443578997987602406166007 (153 digits)
  6. Wed Feb 24 04:22:13 2021 no P-1/P+1/ECM available, skipping
  7. Wed Feb 24 04:22:13 2021 commencing number field sieve (153-digit input)
  8. Wed Feb 24 04:22:13 2021 R0: -417647600637832310709537365185
  9. Wed Feb 24 04:22:13 2021 R1: 1251117046713023
  10. Wed Feb 24 04:22:13 2021 A0: 18809015118865075610011904108739243264
  11. Wed Feb 24 04:22:13 2021 A1: 55671823498096347849517218173028
  12. Wed Feb 24 04:22:13 2021 A2: -17528458279103756354730444
  13. Wed Feb 24 04:22:13 2021 A3: -2172967722135619667
  14. Wed Feb 24 04:22:13 2021 A4: 458462019542
  15. Wed Feb 24 04:22:13 2021 A5: 39600
  16. Wed Feb 24 04:22:13 2021 skew 5941709.55, size 8.290e-15, alpha -7.066, combined = 3.927e-12 rroots = 5
  17. Wed Feb 24 04:22:13 2021
  18. Wed Feb 24 04:22:13 2021 commencing relation filtering
  19. Wed Feb 24 04:22:13 2021 setting target matrix density to 110.0
  20. Wed Feb 24 04:22:13 2021 estimated available RAM is 7859.9 MB
  21. Wed Feb 24 04:22:13 2021 commencing duplicate removal, pass 1
  22. Wed Feb 24 04:34:56 2021 skipped 13 relations with composite factors
  23. Wed Feb 24 04:34:56 2021 found 9777009 hash collisions in 57675420 relations
  24. Wed Feb 24 04:35:28 2021 commencing duplicate removal, pass 2
  25. Wed Feb 24 04:36:40 2021 found 8906351 duplicates and 48769069 unique relations
  26. Wed Feb 24 04:36:40 2021 memory use: 330.4 MB
  27. Wed Feb 24 04:36:40 2021 reading ideals above 39911424
  28. Wed Feb 24 04:36:40 2021 commencing singleton removal, initial pass
  29. Wed Feb 24 04:45:11 2021 memory use: 1378.0 MB
  30. Wed Feb 24 04:45:11 2021 reading all ideals from disk
  31. Wed Feb 24 04:45:12 2021 memory use: 817.1 MB
  32. Wed Feb 24 04:45:14 2021 commencing in-memory singleton removal
  33. Wed Feb 24 04:45:16 2021 begin with 48769069 relations and 41470947 unique ideals
  34. Wed Feb 24 04:45:35 2021 reduce to 29802336 relations and 20406745 ideals in 13 passes
  35. Wed Feb 24 04:45:35 2021 max relations containing the same ideal: 40
  36. Wed Feb 24 04:45:37 2021 reading ideals above 720000
  37. Wed Feb 24 04:45:38 2021 commencing singleton removal, initial pass
  38. Wed Feb 24 04:52:01 2021 memory use: 689.0 MB
  39. Wed Feb 24 04:52:01 2021 reading all ideals from disk
  40. Wed Feb 24 04:52:03 2021 memory use: 1052.8 MB
  41. Wed Feb 24 04:52:07 2021 keeping 25100930 ideals with weight <= 200, target excess is 160504
  42. Wed Feb 24 04:52:10 2021 commencing in-memory singleton removal
  43. Wed Feb 24 04:52:14 2021 begin with 29802345 relations and 25100930 unique ideals
  44. Wed Feb 24 04:52:41 2021 reduce to 29785934 relations and 25084489 ideals in 9 passes
  45. Wed Feb 24 04:52:41 2021 max relations containing the same ideal: 200
  46. Wed Feb 24 04:52:58 2021 removing 4705584 relations and 3705584 ideals in 1000000 cliques
  47. Wed Feb 24 04:53:00 2021 commencing in-memory singleton removal
  48. Wed Feb 24 04:53:03 2021 begin with 25080350 relations and 25084489 unique ideals
  49. Wed Feb 24 04:53:25 2021 reduce to 24505328 relations and 20780095 ideals in 8 passes
  50. Wed Feb 24 04:53:25 2021 max relations containing the same ideal: 187
  51. Wed Feb 24 04:53:39 2021 removing 3700763 relations and 2700763 ideals in 1000000 cliques
  52. Wed Feb 24 04:53:41 2021 commencing in-memory singleton removal
  53. Wed Feb 24 04:53:43 2021 begin with 20804565 relations and 20780095 unique ideals
  54. Wed Feb 24 04:54:00 2021 reduce to 20379856 relations and 17637657 ideals in 8 passes
  55. Wed Feb 24 04:54:00 2021 max relations containing the same ideal: 164
  56. Wed Feb 24 04:54:12 2021 removing 3431798 relations and 2431798 ideals in 1000000 cliques
  57. Wed Feb 24 04:54:14 2021 commencing in-memory singleton removal
  58. Wed Feb 24 04:54:16 2021 begin with 16948058 relations and 17637657 unique ideals
  59. Wed Feb 24 04:54:29 2021 reduce to 16526774 relations and 14765764 ideals in 8 passes
  60. Wed Feb 24 04:54:29 2021 max relations containing the same ideal: 145
  61. Wed Feb 24 04:54:39 2021 removing 3307780 relations and 2307780 ideals in 1000000 cliques
  62. Wed Feb 24 04:54:40 2021 commencing in-memory singleton removal
  63. Wed Feb 24 04:54:42 2021 begin with 13218994 relations and 14765764 unique ideals
  64. Wed Feb 24 04:54:52 2021 reduce to 12754706 relations and 11968914 ideals in 9 passes
  65. Wed Feb 24 04:54:52 2021 max relations containing the same ideal: 121
  66. Wed Feb 24 04:55:00 2021 removing 2183614 relations and 1584007 ideals in 599607 cliques
  67. Wed Feb 24 04:55:01 2021 commencing in-memory singleton removal
  68. Wed Feb 24 04:55:02 2021 begin with 10571092 relations and 11968914 unique ideals
  69. Wed Feb 24 04:55:11 2021 reduce to 10320581 relations and 10123912 ideals in 9 passes
  70. Wed Feb 24 04:55:11 2021 max relations containing the same ideal: 105
  71. Wed Feb 24 04:55:17 2021 removing 76553 relations and 66069 ideals in 10484 cliques
  72. Wed Feb 24 04:55:18 2021 commencing in-memory singleton removal
  73. Wed Feb 24 04:55:19 2021 begin with 10244028 relations and 10123912 unique ideals
  74. Wed Feb 24 04:55:22 2021 reduce to 10243678 relations and 10057493 ideals in 4 passes
  75. Wed Feb 24 04:55:22 2021 max relations containing the same ideal: 105
  76. Wed Feb 24 04:55:26 2021 relations with 0 large ideals: 521
  77. Wed Feb 24 04:55:26 2021 relations with 1 large ideals: 878
  78. Wed Feb 24 04:55:26 2021 relations with 2 large ideals: 14032
  79. Wed Feb 24 04:55:26 2021 relations with 3 large ideals: 119824
  80. Wed Feb 24 04:55:26 2021 relations with 4 large ideals: 559767
  81. Wed Feb 24 04:55:26 2021 relations with 5 large ideals: 1534509
  82. Wed Feb 24 04:55:26 2021 relations with 6 large ideals: 2609971
  83. Wed Feb 24 04:55:26 2021 relations with 7+ large ideals: 5404176
  84. Wed Feb 24 04:55:26 2021 commencing 2-way merge
  85. Wed Feb 24 04:55:33 2021 reduce to 6550723 relation sets and 6364538 unique ideals
  86. Wed Feb 24 04:55:33 2021 commencing full merge
  87. Wed Feb 24 04:58:14 2021 memory use: 849.6 MB
  88. Wed Feb 24 04:58:14 2021 found 3052957 cycles, need 3038738
  89. Wed Feb 24 04:58:16 2021 weight of 3038738 cycles is about 334394747 (110.04/cycle)
  90. Wed Feb 24 04:58:16 2021 distribution of cycle lengths:
  91. Wed Feb 24 04:58:16 2021 1 relations: 137607
  92. Wed Feb 24 04:58:16 2021 2 relations: 210456
  93. Wed Feb 24 04:58:16 2021 3 relations: 243169
  94. Wed Feb 24 04:58:16 2021 4 relations: 246166
  95. Wed Feb 24 04:58:16 2021 5 relations: 250050
  96. Wed Feb 24 04:58:16 2021 6 relations: 242986
  97. Wed Feb 24 04:58:16 2021 7 relations: 233986
  98. Wed Feb 24 04:58:16 2021 8 relations: 219010
  99. Wed Feb 24 04:58:16 2021 9 relations: 201250
  100. Wed Feb 24 04:58:16 2021 10+ relations: 1054058
  101. Wed Feb 24 04:58:16 2021 heaviest cycle: 28 relations
  102. Wed Feb 24 04:58:17 2021 commencing cycle optimization
  103. Wed Feb 24 04:58:23 2021 start with 24825980 relations
  104. Wed Feb 24 04:59:15 2021 pruned 1083718 relations
  105. Wed Feb 24 04:59:15 2021 memory use: 681.5 MB
  106. Wed Feb 24 04:59:15 2021 distribution of cycle lengths:
  107. Wed Feb 24 04:59:15 2021 1 relations: 137607
  108. Wed Feb 24 04:59:15 2021 2 relations: 216376
  109. Wed Feb 24 04:59:15 2021 3 relations: 254154
  110. Wed Feb 24 04:59:15 2021 4 relations: 256569
  111. Wed Feb 24 04:59:15 2021 5 relations: 262282
  112. Wed Feb 24 04:59:15 2021 6 relations: 254321
  113. Wed Feb 24 04:59:15 2021 7 relations: 245177
  114. Wed Feb 24 04:59:15 2021 8 relations: 228193
  115. Wed Feb 24 04:59:15 2021 9 relations: 207943
  116. Wed Feb 24 04:59:15 2021 10+ relations: 976116
  117. Wed Feb 24 04:59:15 2021 heaviest cycle: 28 relations
  118. Wed Feb 24 04:59:22 2021 RelProcTime: 2229
  119. Wed Feb 24 04:59:22 2021
  120.  
  121. Wed Feb 24 11:05:27 2021
  122. Wed Feb 24 11:05:27 2021 Msieve v. 1.52 (SVN exported)
  123. Wed Feb 24 11:05:27 2021 random seeds: 1e1958b5 f9ada71a
  124. Wed Feb 24 11:05:27 2021 factoring 503205239847885675926605531320548084259945256547161532258322496514432587125704420384898361465557414017313698710982344126461414001443578997987602406166007 (153 digits)
  125. Wed Feb 24 11:05:28 2021 searching for 15-digit factors
  126. Wed Feb 24 11:05:29 2021 commencing number field sieve (153-digit input)
  127. Wed Feb 24 11:05:29 2021 R0: -417647600637832310709537365185
  128. Wed Feb 24 11:05:29 2021 R1: 1251117046713023
  129. Wed Feb 24 11:05:29 2021 A0: 18809015118865075610011904108739243264
  130. Wed Feb 24 11:05:29 2021 A1: 55671823498096347849517218173028
  131. Wed Feb 24 11:05:29 2021 A2: -17528458279103756354730444
  132. Wed Feb 24 11:05:29 2021 A3: -2172967722135619667
  133. Wed Feb 24 11:05:29 2021 A4: 458462019542
  134. Wed Feb 24 11:05:29 2021 A5: 39600
  135. Wed Feb 24 11:05:29 2021 skew 5941709.55, size 8.290e-15, alpha -7.066, combined = 3.927e-12 rroots = 5
  136. Wed Feb 24 11:05:29 2021
  137. Wed Feb 24 11:05:29 2021 commencing linear algebra
  138. Wed Feb 24 11:05:29 2021 skipping matrix build
  139. Wed Feb 24 11:05:31 2021 matrix starts at (0, 0)
  140. Wed Feb 24 11:05:32 2021 matrix is 3038493 x 3038671 (1327.3 MB) with weight 406023753 (133.62/col)
  141. Wed Feb 24 11:05:32 2021 sparse part has weight 311479864 (102.51/col)
  142. Wed Feb 24 11:05:32 2021 saving the first 48 matrix rows for later
  143. Wed Feb 24 11:05:32 2021 matrix includes 64 packed rows
  144. Wed Feb 24 11:05:33 2021 matrix is 3038445 x 3038671 (1285.9 MB) with weight 342439241 (112.69/col)
  145. Wed Feb 24 11:05:33 2021 sparse part has weight 306703599 (100.93/col)
  146. Wed Feb 24 11:05:33 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  147. Wed Feb 24 11:05:50 2021 commencing Lanczos iteration (8 threads)
  148. Wed Feb 24 11:05:50 2021 memory use: 1051.0 MB
  149. Wed Feb 24 11:06:00 2021 linear algebra at 0.0%, ETA 5h33m
  150. Wed Feb 24 11:06:03 2021 checkpointing every 570000 dimensions
  151. Wed Feb 24 16:34:37 2021 lanczos halted after 48049 iterations (dim = 3038444)
  152. Wed Feb 24 16:34:41 2021 recovered 29 nontrivial dependencies
  153. Wed Feb 24 16:34:41 2021 BLanczosTime: 19752
  154. Wed Feb 24 16:34:41 2021
  155. Wed Feb 24 16:34:41 2021 commencing square root phase
  156. Wed Feb 24 16:34:41 2021 handling dependencies 1 to 64
  157. Wed Feb 24 16:34:41 2021 reading relations for dependency 1
  158. Wed Feb 24 16:34:42 2021 read 1518707 cycles
  159. Wed Feb 24 16:34:46 2021 cycles contain 5065328 unique relations
  160. Wed Feb 24 16:36:29 2021 read 5065328 relations
  161. Wed Feb 24 16:37:03 2021 multiplying 5065328 relations
  162. Wed Feb 24 16:42:18 2021 multiply complete, coefficients have about 256.72 million bits
  163. Wed Feb 24 16:42:20 2021 initial square root is modulo 1632328877
  164. Wed Feb 24 16:48:32 2021 sqrtTime: 831
  165. Wed Feb 24 16:48:32 2021 prp65 factor: 46538991890341515300685670163903355685510594269020145914271777793
  166. Wed Feb 24 16:48:32 2021 prp89 factor: 10812551355507950694444017167699874733177945101247275946880089931045535513663683843076599
  167. Wed Feb 24 16:48:32 2021 elapsed time 05:43:05
  168.  
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