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11m9_247

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  1. Tue Jul 23 10:35:19 2019  
  2. Tue Jul 23 10:35:19 2019  
  3. Tue Jul 23 10:35:19 2019  Msieve v. 1.53 (SVN 988M)
  4. Tue Jul 23 10:35:19 2019  random seeds: a9e0bac1 9b1ac965
  5. Tue Jul 23 10:35:19 2019  factoring 10669372796434997570757135274545446646916828085756495014360024036312067066328100747619152616202151179461135513968402270369970071292289076815040139179669671311 (158 digits)
  6. Tue Jul 23 10:35:19 2019  searching for 15-digit factors
  7. Tue Jul 23 10:35:20 2019  commencing number field sieve (158-digit input)
  8. Tue Jul 23 10:35:20 2019  R0: -979148697612696822124873567122
  9. Tue Jul 23 10:35:20 2019  R1: 1774072874284835831
  10. Tue Jul 23 10:35:20 2019  A0: -372069759775023193826886047704402055
  11. Tue Jul 23 10:35:20 2019  A1: 8115012706553971782595267171618
  12. Tue Jul 23 10:35:20 2019  A2: -19950374265996098860235155
  13. Tue Jul 23 10:35:20 2019  A3: -19258249197044601916
  14. Tue Jul 23 10:35:20 2019  A4: 21176006357388
  15. Tue Jul 23 10:35:20 2019  A5: 11854800
  16. Tue Jul 23 10:35:20 2019  skew 859620.85, size 2.874e-15, alpha -6.775, combined = 2.120e-12 rroots = 5
  17. Tue Jul 23 10:35:20 2019  
  18. Tue Jul 23 10:35:20 2019  commencing relation filtering
  19. Tue Jul 23 10:35:20 2019  setting target matrix density to 120.0
  20. Tue Jul 23 10:35:20 2019  estimated available RAM is 32768.0 MB
  21. Tue Jul 23 10:35:20 2019  commencing duplicate removal, pass 1
  22. Tue Jul 23 10:40:33 2019  skipped 1 relations with composite factors
  23. Tue Jul 23 10:40:33 2019  found 2417112 hash collisions in 52583975 relations
  24. Tue Jul 23 10:40:54 2019  added 121750 free relations
  25. Tue Jul 23 10:40:54 2019  commencing duplicate removal, pass 2
  26. Tue Jul 23 10:41:05 2019  found 0 duplicates and 52705725 unique relations
  27. Tue Jul 23 10:41:05 2019  memory use: 130.6 MB
  28. Tue Jul 23 10:41:05 2019  reading ideals above 720000
  29. Tue Jul 23 10:41:05 2019  commencing singleton removal, initial pass
  30. Tue Jul 23 10:45:53 2019  memory use: 1378.0 MB
  31. Tue Jul 23 10:45:53 2019  reading all ideals from disk
  32. Tue Jul 23 10:45:53 2019  memory use: 1922.6 MB
  33. Tue Jul 23 10:45:57 2019  keeping 47615008 ideals with weight <= 200, target excess is 289137
  34. Tue Jul 23 10:46:01 2019  commencing in-memory singleton removal
  35. Tue Jul 23 10:46:04 2019  begin with 52705725 relations and 47615008 unique ideals
  36. Tue Jul 23 10:46:39 2019  reduce to 35688467 relations and 29007087 ideals in 14 passes
  37. Tue Jul 23 10:46:39 2019  max relations containing the same ideal: 162
  38. Tue Jul 23 10:46:51 2019  removing 4409338 relations and 3409338 ideals in 1000000 cliques
  39. Tue Jul 23 10:46:52 2019  commencing in-memory singleton removal
  40. Tue Jul 23 10:46:54 2019  begin with 31279129 relations and 29007087 unique ideals
  41. Tue Jul 23 10:47:10 2019  reduce to 30872909 relations and 25177911 ideals in 8 passes
  42. Tue Jul 23 10:47:10 2019  max relations containing the same ideal: 147
  43. Tue Jul 23 10:47:20 2019  removing 3469308 relations and 2469308 ideals in 1000000 cliques
  44. Tue Jul 23 10:47:21 2019  commencing in-memory singleton removal
  45. Tue Jul 23 10:47:23 2019  begin with 27403601 relations and 25177911 unique ideals
  46. Tue Jul 23 10:47:35 2019  reduce to 27121891 relations and 22417909 ideals in 7 passes
  47. Tue Jul 23 10:47:35 2019  max relations containing the same ideal: 137
  48. Tue Jul 23 10:47:44 2019  removing 3197067 relations and 2197067 ideals in 1000000 cliques
  49. Tue Jul 23 10:47:45 2019  commencing in-memory singleton removal
  50. Tue Jul 23 10:47:46 2019  begin with 23924824 relations and 22417909 unique ideals
  51. Tue Jul 23 10:47:57 2019  reduce to 23670753 relations and 19958318 ideals in 7 passes
  52. Tue Jul 23 10:47:57 2019  max relations containing the same ideal: 123
  53. Tue Jul 23 10:48:05 2019  removing 3059093 relations and 2059093 ideals in 1000000 cliques
  54. Tue Jul 23 10:48:06 2019  commencing in-memory singleton removal
  55. Tue Jul 23 10:48:07 2019  begin with 20611660 relations and 19958318 unique ideals
  56. Tue Jul 23 10:48:16 2019  reduce to 20361717 relations and 17640115 ideals in 7 passes
  57. Tue Jul 23 10:48:16 2019  max relations containing the same ideal: 111
  58. Tue Jul 23 10:48:23 2019  removing 2967753 relations and 1967753 ideals in 1000000 cliques
  59. Tue Jul 23 10:48:24 2019  commencing in-memory singleton removal
  60. Tue Jul 23 10:48:24 2019  begin with 17393964 relations and 17640115 unique ideals
  61. Tue Jul 23 10:48:32 2019  reduce to 17133644 relations and 15401150 ideals in 7 passes
  62. Tue Jul 23 10:48:32 2019  max relations containing the same ideal: 100
  63. Tue Jul 23 10:48:38 2019  removing 2902529 relations and 1902529 ideals in 1000000 cliques
  64. Tue Jul 23 10:48:39 2019  commencing in-memory singleton removal
  65. Tue Jul 23 10:48:39 2019  begin with 14231115 relations and 15401150 unique ideals
  66. Tue Jul 23 10:48:45 2019  reduce to 13936754 relations and 13189895 ideals in 7 passes
  67. Tue Jul 23 10:48:45 2019  max relations containing the same ideal: 85
  68. Tue Jul 23 10:48:50 2019  removing 1394410 relations and 982950 ideals in 411460 cliques
  69. Tue Jul 23 10:48:51 2019  commencing in-memory singleton removal
  70. Tue Jul 23 10:48:51 2019  begin with 12542344 relations and 13189895 unique ideals
  71. Tue Jul 23 10:48:57 2019  reduce to 12450045 relations and 12112380 ideals in 7 passes
  72. Tue Jul 23 10:48:57 2019  max relations containing the same ideal: 80
  73. Tue Jul 23 10:49:02 2019  relations with 0 large ideals: 893
  74. Tue Jul 23 10:49:02 2019  relations with 1 large ideals: 3032
  75. Tue Jul 23 10:49:02 2019  relations with 2 large ideals: 45116
  76. Tue Jul 23 10:49:02 2019  relations with 3 large ideals: 313640
  77. Tue Jul 23 10:49:02 2019  relations with 4 large ideals: 1158146
  78. Tue Jul 23 10:49:02 2019  relations with 5 large ideals: 2530077
  79. Tue Jul 23 10:49:02 2019  relations with 6 large ideals: 3434720
  80. Tue Jul 23 10:49:02 2019  relations with 7+ large ideals: 4964421
  81. Tue Jul 23 10:49:02 2019  commencing 2-way merge
  82. Tue Jul 23 10:49:08 2019  reduce to 8680846 relation sets and 8343181 unique ideals
  83. Tue Jul 23 10:49:08 2019  commencing full merge
  84. Tue Jul 23 10:51:36 2019  memory use: 1069.2 MB
  85. Tue Jul 23 10:51:38 2019  found 3905364 cycles, need 3875381
  86. Tue Jul 23 10:51:38 2019  weight of 3875381 cycles is about 465381314 (120.09/cycle)
  87. Tue Jul 23 10:51:38 2019  distribution of cycle lengths:
  88. Tue Jul 23 10:51:38 2019  1 relations: 71906
  89. Tue Jul 23 10:51:38 2019  2 relations: 200573
  90. Tue Jul 23 10:51:38 2019  3 relations: 268130
  91. Tue Jul 23 10:51:38 2019  4 relations: 293275
  92. Tue Jul 23 10:51:38 2019  5 relations: 314113
  93. Tue Jul 23 10:51:38 2019  6 relations: 315647
  94. Tue Jul 23 10:51:38 2019  7 relations: 310834
  95. Tue Jul 23 10:51:38 2019  8 relations: 298811
  96. Tue Jul 23 10:51:38 2019  9 relations: 277832
  97. Tue Jul 23 10:51:38 2019  10+ relations: 1524260
  98. Tue Jul 23 10:51:38 2019  heaviest cycle: 28 relations
  99. Tue Jul 23 10:51:40 2019  commencing cycle optimization
  100. Tue Jul 23 10:51:48 2019  start with 34166793 relations
  101. Tue Jul 23 10:53:03 2019  pruned 1828270 relations
  102. Tue Jul 23 10:53:03 2019  memory use: 872.8 MB
  103. Tue Jul 23 10:53:03 2019  distribution of cycle lengths:
  104. Tue Jul 23 10:53:03 2019  1 relations: 71906
  105. Tue Jul 23 10:53:03 2019  2 relations: 207259
  106. Tue Jul 23 10:53:03 2019  3 relations: 282529
  107. Tue Jul 23 10:53:03 2019  4 relations: 309288
  108. Tue Jul 23 10:53:03 2019  5 relations: 334513
  109. Tue Jul 23 10:53:03 2019  6 relations: 335297
  110. Tue Jul 23 10:53:03 2019  7 relations: 331591
  111. Tue Jul 23 10:53:03 2019  8 relations: 316350
  112. Tue Jul 23 10:53:03 2019  9 relations: 292234
  113. Tue Jul 23 10:53:03 2019  10+ relations: 1394414
  114. Tue Jul 23 10:53:03 2019  heaviest cycle: 27 relations
  115. Tue Jul 23 10:53:11 2019  RelProcTime: 1071
  116. Tue Jul 23 10:53:11 2019  
  117. Tue Jul 23 10:53:11 2019  commencing linear algebra
  118. Tue Jul 23 10:53:12 2019  read 3875381 cycles
  119. Tue Jul 23 10:53:19 2019  cycles contain 12286010 unique relations
  120. Tue Jul 23 10:54:07 2019  read 12286010 relations
  121. Tue Jul 23 10:54:27 2019  using 20 quadratic characters above 4294917295
  122. Tue Jul 23 10:55:10 2019  building initial matrix
  123. Tue Jul 23 10:57:16 2019  memory use: 1698.7 MB
  124. Tue Jul 23 10:57:20 2019  read 3875381 cycles
  125. Tue Jul 23 10:57:20 2019  matrix is 3875204 x 3875381 (1811.7 MB) with weight 553470596 (142.82/col)
  126. Tue Jul 23 10:57:20 2019  sparse part has weight 428410826 (110.55/col)
  127. Tue Jul 23 10:57:56 2019  filtering completed in 2 passes
  128. Tue Jul 23 10:57:57 2019  matrix is 3875147 x 3875324 (1811.7 MB) with weight 553467704 (142.82/col)
  129. Tue Jul 23 10:57:57 2019  sparse part has weight 428409719 (110.55/col)
  130. Tue Jul 23 10:58:08 2019  matrix starts at (0, 0)
  131. Tue Jul 23 10:58:09 2019  matrix is 3875147 x 3875324 (1811.7 MB) with weight 553467704 (142.82/col)
  132. Tue Jul 23 10:58:09 2019  sparse part has weight 428409719 (110.55/col)
  133. Tue Jul 23 10:58:09 2019  saving the first 48 matrix rows for later
  134. Tue Jul 23 10:58:09 2019  matrix includes 64 packed rows
  135. Tue Jul 23 10:58:10 2019  matrix is 3875099 x 3875324 (1760.7 MB) with weight 473925014 (122.29/col)
  136. Tue Jul 23 10:58:10 2019  sparse part has weight 422796832 (109.10/col)
  137. Tue Jul 23 10:58:10 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  138. Tue Jul 23 10:58:28 2019  commencing Lanczos iteration (8 threads)
  139. Tue Jul 23 10:58:28 2019  memory use: 1455.9 MB
  140. Tue Jul 23 10:58:34 2019  linear algebra at 0.0%, ETA 4h15m
  141. Tue Jul 23 10:58:36 2019  checkpointing every 920000 dimensions
  142. Tue Jul 23 15:01:00 2019  lanczos halted after 61284 iterations (dim = 3875099)
  143. Tue Jul 23 15:01:03 2019  recovered 32 nontrivial dependencies
  144. Tue Jul 23 15:01:03 2019  BLanczosTime: 14872
  145. Tue Jul 23 15:01:03 2019  
  146. Tue Jul 23 15:01:03 2019  commencing square root phase
  147. Tue Jul 23 15:01:03 2019  handling dependencies 1 to 64
  148. Tue Jul 23 15:01:03 2019  reading relations for dependency 1
  149. Tue Jul 23 15:01:04 2019  read 1936923 cycles
  150. Tue Jul 23 15:01:07 2019  cycles contain 6142902 unique relations
  151. Tue Jul 23 15:01:32 2019  read 6142902 relations
  152. Tue Jul 23 15:01:56 2019  multiplying 6142902 relations
  153. Tue Jul 23 15:06:40 2019  multiply complete, coefficients have about 358.05 million bits
  154. Tue Jul 23 15:06:42 2019  initial square root is modulo 2658379
  155. Tue Jul 23 15:12:25 2019  sqrtTime: 682
  156. Tue Jul 23 15:12:25 2019  p60 factor: 411379679501785316530752201023360561720004070110088075182617
  157. Tue Jul 23 15:12:25 2019  p98 factor: 25935585368136041686679050198876151140475903243048188414142320404495880666920651441792561558737383
  158. Tue Jul 23 15:12:25 2019  elapsed time 04:37:06
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