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P50_217254_m1

CarlosPinho Jun 9th, 2016 38 Never
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  1. Wed Jun 08 12:46:46 2016  
  2. Wed Jun 08 12:46:46 2016  
  3. Wed Jun 08 12:46:46 2016  Msieve v. 1.52 (SVN unknown)
  4. Wed Jun 08 12:46:46 2016  random seeds: c09377d8 9d9c4045
  5. Wed Jun 08 12:46:46 2016  factoring 222780393911061606506088155892124288968297850742312673335671039809769336572471265805301846318567914539516358196879665927541268223641361093767146869064342234711250844063933079892635696875875034365301 (198 digits)
  6. Wed Jun 08 12:46:48 2016  no P-1/P+1/ECM available, skipping
  7. Wed Jun 08 12:46:48 2016  commencing number field sieve (198-digit input)
  8. Wed Jun 08 12:46:48 2016  R0: 21725473066772863950504173513098364324584931693593
  9. Wed Jun 08 12:46:48 2016  R1: -1
  10. Wed Jun 08 12:46:48 2016  A0: 1
  11. Wed Jun 08 12:46:48 2016  A1: 1
  12. Wed Jun 08 12:46:48 2016  A2: 1
  13. Wed Jun 08 12:46:48 2016  A3: 1
  14. Wed Jun 08 12:46:48 2016  A4: 1
  15. Wed Jun 08 12:46:48 2016  skew 1.00, size 3.769e-020, alpha 1.694, combined = 4.485e-012 rroots = 0
  16. Wed Jun 08 12:46:48 2016  
  17. Wed Jun 08 12:46:48 2016  commencing relation filtering
  18. Wed Jun 08 12:46:48 2016  setting target matrix density to 108.0
  19. Wed Jun 08 12:46:48 2016  estimated available RAM is 8098.7 MB
  20. Wed Jun 08 12:46:48 2016  commencing duplicate removal, pass 1
  21. Wed Jun 08 13:00:05 2016  skipped 16 relations with b > 2^32
  22. Wed Jun 08 13:00:05 2016  found 2036081 hash collisions in 48181181 relations
  23. Wed Jun 08 13:00:28 2016  added 3654414 free relations
  24. Wed Jun 08 13:00:28 2016  commencing duplicate removal, pass 2
  25. Wed Jun 08 13:00:54 2016  found 0 duplicates and 51835595 unique relations
  26. Wed Jun 08 13:00:54 2016  memory use: 130.6 MB
  27. Wed Jun 08 13:00:54 2016  reading ideals above 37945344
  28. Wed Jun 08 13:00:54 2016  commencing singleton removal, initial pass
  29. Wed Jun 08 13:16:12 2016  memory use: 1378.0 MB
  30. Wed Jun 08 13:16:13 2016  reading all ideals from disk
  31. Wed Jun 08 13:16:14 2016  memory use: 889.8 MB
  32. Wed Jun 08 13:16:16 2016  commencing in-memory singleton removal
  33. Wed Jun 08 13:16:18 2016  begin with 51835595 relations and 42590631 unique ideals
  34. Wed Jun 08 13:16:43 2016  reduce to 34024351 relations and 22758430 ideals in 14 passes
  35. Wed Jun 08 13:16:43 2016  max relations containing the same ideal: 48
  36. Wed Jun 08 13:16:47 2016  reading ideals above 720000
  37. Wed Jun 08 13:16:47 2016  commencing singleton removal, initial pass
  38. Wed Jun 08 13:27:49 2016  memory use: 753.0 MB
  39. Wed Jun 08 13:27:49 2016  reading all ideals from disk
  40. Wed Jun 08 13:27:59 2016  memory use: 1188.7 MB
  41. Wed Jun 08 13:28:03 2016  keeping 27208902 ideals with weight <= 200, target excess is 180269
  42. Wed Jun 08 13:28:07 2016  commencing in-memory singleton removal
  43. Wed Jun 08 13:28:10 2016  begin with 34024357 relations and 27208902 unique ideals
  44. Wed Jun 08 13:28:31 2016  reduce to 34022967 relations and 27207493 ideals in 6 passes
  45. Wed Jun 08 13:28:31 2016  max relations containing the same ideal: 200
  46. Wed Jun 08 13:28:49 2016  removing 4644514 relations and 3644514 ideals in 1000000 cliques
  47. Wed Jun 08 13:28:51 2016  commencing in-memory singleton removal
  48. Wed Jun 08 13:28:54 2016  begin with 29378453 relations and 27207493 unique ideals
  49. Wed Jun 08 13:29:21 2016  reduce to 28789768 relations and 22951406 ideals in 9 passes
  50. Wed Jun 08 13:29:21 2016  max relations containing the same ideal: 188
  51. Wed Jun 08 13:29:37 2016  removing 3583930 relations and 2583930 ideals in 1000000 cliques
  52. Wed Jun 08 13:29:38 2016  commencing in-memory singleton removal
  53. Wed Jun 08 13:29:41 2016  begin with 25205838 relations and 22951406 unique ideals
  54. Wed Jun 08 13:29:58 2016  reduce to 24830055 relations and 19977936 ideals in 7 passes
  55. Wed Jun 08 13:29:58 2016  max relations containing the same ideal: 172
  56. Wed Jun 08 13:30:12 2016  removing 3277378 relations and 2277378 ideals in 1000000 cliques
  57. Wed Jun 08 13:30:14 2016  commencing in-memory singleton removal
  58. Wed Jun 08 13:30:16 2016  begin with 21552677 relations and 19977936 unique ideals
  59. Wed Jun 08 13:30:32 2016  reduce to 21217957 relations and 17352861 ideals in 8 passes
  60. Wed Jun 08 13:30:32 2016  max relations containing the same ideal: 158
  61. Wed Jun 08 13:30:44 2016  removing 3129552 relations and 2129552 ideals in 1000000 cliques
  62. Wed Jun 08 13:30:46 2016  commencing in-memory singleton removal
  63. Wed Jun 08 13:30:47 2016  begin with 18088405 relations and 17352861 unique ideals
  64. Wed Jun 08 13:30:59 2016  reduce to 17757344 relations and 14877744 ideals in 7 passes
  65. Wed Jun 08 13:30:59 2016  max relations containing the same ideal: 138
  66. Wed Jun 08 13:31:09 2016  removing 3047777 relations and 2047777 ideals in 1000000 cliques
  67. Wed Jun 08 13:31:11 2016  commencing in-memory singleton removal
  68. Wed Jun 08 13:31:12 2016  begin with 14709567 relations and 14877744 unique ideals
  69. Wed Jun 08 13:31:23 2016  reduce to 14356310 relations and 12458635 ideals in 8 passes
  70. Wed Jun 08 13:31:23 2016  max relations containing the same ideal: 121
  71. Wed Jun 08 13:31:31 2016  removing 2990973 relations and 1990973 ideals in 1000000 cliques
  72. Wed Jun 08 13:31:32 2016  commencing in-memory singleton removal
  73. Wed Jun 08 13:31:33 2016  begin with 11365337 relations and 12458635 unique ideals
  74. Wed Jun 08 13:31:41 2016  reduce to 10964882 relations and 10042348 ideals in 8 passes
  75. Wed Jun 08 13:31:41 2016  max relations containing the same ideal: 100
  76. Wed Jun 08 13:31:48 2016  removing 2244249 relations and 1530828 ideals in 713421 cliques
  77. Wed Jun 08 13:31:49 2016  commencing in-memory singleton removal
  78. Wed Jun 08 13:31:49 2016  begin with 8720633 relations and 10042348 unique ideals
  79. Wed Jun 08 13:31:55 2016  reduce to 8419550 relations and 8192774 ideals in 8 passes
  80. Wed Jun 08 13:31:55 2016  max relations containing the same ideal: 84
  81. Wed Jun 08 13:32:00 2016  removing 110674 relations and 93011 ideals in 17663 cliques
  82. Wed Jun 08 13:32:01 2016  commencing in-memory singleton removal
  83. Wed Jun 08 13:32:01 2016  begin with 8308876 relations and 8192774 unique ideals
  84. Wed Jun 08 13:32:05 2016  reduce to 8307974 relations and 8098858 ideals in 5 passes
  85. Wed Jun 08 13:32:05 2016  max relations containing the same ideal: 84
  86. Wed Jun 08 13:32:07 2016  relations with 0 large ideals: 14551
  87. Wed Jun 08 13:32:07 2016  relations with 1 large ideals: 1184
  88. Wed Jun 08 13:32:07 2016  relations with 2 large ideals: 17907
  89. Wed Jun 08 13:32:07 2016  relations with 3 large ideals: 140096
  90. Wed Jun 08 13:32:07 2016  relations with 4 large ideals: 594496
  91. Wed Jun 08 13:32:07 2016  relations with 5 large ideals: 1781726
  92. Wed Jun 08 13:32:07 2016  relations with 6 large ideals: 2123790
  93. Wed Jun 08 13:32:07 2016  relations with 7+ large ideals: 3634224
  94. Wed Jun 08 13:32:07 2016  commencing 2-way merge
  95. Wed Jun 08 13:32:13 2016  reduce to 5494316 relation sets and 5285200 unique ideals
  96. Wed Jun 08 13:32:13 2016  commencing full merge
  97. Wed Jun 08 13:35:13 2016  memory use: 713.8 MB
  98. Wed Jun 08 13:35:13 2016  found 2521869 cycles, need 2517400
  99. Wed Jun 08 13:35:14 2016  weight of 2517400 cycles is about 272119169 (108.10/cycle)
  100. Wed Jun 08 13:35:14 2016  distribution of cycle lengths:
  101. Wed Jun 08 13:35:14 2016  1 relations: 96662
  102. Wed Jun 08 13:35:14 2016  2 relations: 137517
  103. Wed Jun 08 13:35:14 2016  3 relations: 167896
  104. Wed Jun 08 13:35:14 2016  4 relations: 181628
  105. Wed Jun 08 13:35:14 2016  5 relations: 188318
  106. Wed Jun 08 13:35:14 2016  6 relations: 188509
  107. Wed Jun 08 13:35:14 2016  7 relations: 185315
  108. Wed Jun 08 13:35:14 2016  8 relations: 176618
  109. Wed Jun 08 13:35:14 2016  9 relations: 164842
  110. Wed Jun 08 13:35:14 2016  10+ relations: 1030095
  111. Wed Jun 08 13:35:14 2016  heaviest cycle: 28 relations
  112. Wed Jun 08 13:35:14 2016  commencing cycle optimization
  113. Wed Jun 08 13:35:20 2016  start with 22897276 relations
  114. Wed Jun 08 13:36:45 2016  pruned 1116843 relations
  115. Wed Jun 08 13:36:45 2016  memory use: 582.1 MB
  116. Wed Jun 08 13:36:45 2016  distribution of cycle lengths:
  117. Wed Jun 08 13:36:45 2016  1 relations: 96662
  118. Wed Jun 08 13:36:45 2016  2 relations: 140501
  119. Wed Jun 08 13:36:45 2016  3 relations: 174629
  120. Wed Jun 08 13:36:45 2016  4 relations: 189572
  121. Wed Jun 08 13:36:45 2016  5 relations: 198497
  122. Wed Jun 08 13:36:45 2016  6 relations: 198549
  123. Wed Jun 08 13:36:45 2016  7 relations: 196282
  124. Wed Jun 08 13:36:45 2016  8 relations: 185677
  125. Wed Jun 08 13:36:45 2016  9 relations: 173685
  126. Wed Jun 08 13:36:45 2016  10+ relations: 963346
  127. Wed Jun 08 13:36:45 2016  heaviest cycle: 28 relations
  128. Wed Jun 08 13:36:48 2016  RelProcTime: 3000
  129. Wed Jun 08 13:36:48 2016  
  130. Wed Jun 08 13:36:48 2016  commencing linear algebra
  131. Wed Jun 08 13:36:49 2016  read 2517400 cycles
  132. Wed Jun 08 13:36:56 2016  cycles contain 8197228 unique relations
  133. Wed Jun 08 13:39:27 2016  read 8197228 relations
  134. Wed Jun 08 13:39:45 2016  using 20 quadratic characters above 536868962
  135. Wed Jun 08 13:40:43 2016  building initial matrix
  136. Wed Jun 08 13:43:01 2016  memory use: 995.6 MB
  137. Wed Jun 08 13:43:05 2016  read 2517400 cycles
  138. Wed Jun 08 13:43:06 2016  matrix is 2517223 x 2517400 (1078.1 MB) with weight 310417295 (123.31/col)
  139. Wed Jun 08 13:43:06 2016  sparse part has weight 254913235 (101.26/col)
  140. Wed Jun 08 13:43:48 2016  filtering completed in 2 passes
  141. Wed Jun 08 13:43:49 2016  matrix is 2517207 x 2517384 (1078.0 MB) with weight 310416595 (123.31/col)
  142. Wed Jun 08 13:43:49 2016  sparse part has weight 254912897 (101.26/col)
  143. Wed Jun 08 13:43:58 2016  matrix starts at (0, 0)
  144. Wed Jun 08 13:43:59 2016  matrix is 2517207 x 2517384 (1078.0 MB) with weight 310416595 (123.31/col)
  145. Wed Jun 08 13:43:59 2016  sparse part has weight 254912897 (101.26/col)
  146. Wed Jun 08 13:43:59 2016  saving the first 48 matrix rows for later
  147. Wed Jun 08 13:44:00 2016  matrix includes 64 packed rows
  148. Wed Jun 08 13:44:01 2016  matrix is 2517159 x 2517384 (1029.5 MB) with weight 263980380 (104.86/col)
  149. Wed Jun 08 13:44:01 2016  sparse part has weight 244701081 (97.20/col)
  150. Wed Jun 08 13:44:01 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  151. Wed Jun 08 13:44:21 2016  commencing Lanczos iteration (4 threads)
  152. Wed Jun 08 13:44:21 2016  memory use: 856.7 MB
  153. Wed Jun 08 13:44:36 2016  linear algebra at 0.1%, ETA 6h27m
  154. Wed Jun 08 13:44:41 2016  checkpointing every 390000 dimensions
  155. Wed Jun 08 21:38:26 2016  lanczos halted after 39807 iterations (dim = 2517157)
  156. Wed Jun 08 21:38:33 2016  recovered 35 nontrivial dependencies
  157. Wed Jun 08 21:38:34 2016  BLanczosTime: 28906
  158. Wed Jun 08 21:38:34 2016  
  159. Wed Jun 08 21:38:34 2016  commencing square root phase
  160. Wed Jun 08 21:38:34 2016  handling dependencies 1 to 64
  161. Wed Jun 08 21:38:34 2016  reading relations for dependency 1
  162. Wed Jun 08 21:38:35 2016  read 1257308 cycles
  163. Wed Jun 08 21:38:38 2016  cycles contain 4095512 unique relations
  164. Wed Jun 08 21:40:01 2016  read 4095512 relations
  165. Wed Jun 08 21:40:33 2016  multiplying 4095512 relations
  166. Wed Jun 08 21:42:45 2016  multiply complete, coefficients have about 99.87 million bits
  167. Wed Jun 08 21:42:47 2016  initial square root is modulo 14733847
  168. Wed Jun 08 21:45:53 2016  sqrtTime: 439
  169. Wed Jun 08 21:45:53 2016  prp95 factor: 91415868979063323811658777450816694220194424758198379483423462242932309473647389746381498102411
  170. Wed Jun 08 21:45:53 2016  prp103 factor: 2436999138104613634771126036010647424867791201660821087921370410113001345542738455944329312128623316991
  171. Wed Jun 08 21:45:53 2016  elapsed time 08:59:07
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