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Apr 9th, 2014
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  1. Mon Apr 7 13:22:16 2014
  2. Mon Apr 7 13:22:16 2014
  3. Mon Apr 7 13:22:16 2014 Msieve v. 1.52 (SVN 959)
  4. Mon Apr 7 13:22:16 2014 random seeds: 546a74d0 8cace4a1
  5. Mon Apr 7 13:22:16 2014 factoring 1632804813352129744097704230582423397912615058714852211565252806494168004122265595191224971550179637541273265279563633202179313606068748326080710690727401791696724523717672786097659212865593855633757362811 (205 digits)
  6. Mon Apr 7 13:22:18 2014 no P-1/P+1/ECM available, skipping
  7. Mon Apr 7 13:22:18 2014 commencing number field sieve (205-digit input)
  8. Mon Apr 7 13:22:18 2014 R0: -340039485861577398992406882305761986971
  9. Mon Apr 7 13:22:18 2014 R1: 1
  10. Mon Apr 7 13:22:18 2014 A0: -1
  11. Mon Apr 7 13:22:18 2014 A1: 0
  12. Mon Apr 7 13:22:18 2014 A2: 0
  13. Mon Apr 7 13:22:18 2014 A3: 0
  14. Mon Apr 7 13:22:18 2014 A4: 0
  15. Mon Apr 7 13:22:18 2014 A5: 0
  16. Mon Apr 7 13:22:18 2014 A6: 222
  17. Mon Apr 7 13:22:18 2014 skew 1.00, size 1.546e-11, alpha 0.431, combined = 8.574e-13 rroots = 2
  18. Mon Apr 7 13:22:18 2014
  19. Mon Apr 7 13:22:18 2014 commencing relation filtering
  20. Mon Apr 7 13:22:18 2014 setting target matrix density to 112.0
  21. Mon Apr 7 13:22:18 2014 estimated available RAM is 16009.0 MB
  22. Mon Apr 7 13:22:18 2014 commencing duplicate removal, pass 1
  23. ... errors ...
  24. Mon Apr 7 13:43:25 2014 error -15 reading relation 124581556
  25. Mon Apr 7 13:43:40 2014 skipped 60 relations with b > 2^32
  26. Mon Apr 7 13:43:40 2014 found 22278049 hash collisions in 125985682 relations
  27. Mon Apr 7 13:43:56 2014 added 1219070 free relations
  28. Mon Apr 7 13:43:56 2014 commencing duplicate removal, pass 2
  29. Mon Apr 7 13:50:31 2014 found 22613359 duplicates and 104591393 unique relations
  30. Mon Apr 7 13:50:31 2014 memory use: 788.8 MB
  31. Mon Apr 7 13:50:31 2014 reading ideals above 99942400
  32. Mon Apr 7 13:50:31 2014 commencing singleton removal, initial pass
  33. Mon Apr 7 14:10:59 2014 memory use: 1506.0 MB
  34. Mon Apr 7 14:10:59 2014 reading all ideals from disk
  35. Mon Apr 7 14:11:13 2014 memory use: 1717.4 MB
  36. Mon Apr 7 14:11:16 2014 commencing in-memory singleton removal
  37. Mon Apr 7 14:11:20 2014 begin with 104591393 relations and 81509851 unique ideals
  38. Mon Apr 7 14:11:53 2014 reduce to 72158629 relations and 46106582 ideals in 12 passes
  39. Mon Apr 7 14:11:53 2014 max relations containing the same ideal: 37
  40. Mon Apr 7 14:11:56 2014 reading ideals above 720000
  41. Mon Apr 7 14:11:56 2014 commencing singleton removal, initial pass
  42. Mon Apr 7 14:30:03 2014 memory use: 1506.0 MB
  43. Mon Apr 7 14:30:03 2014 reading all ideals from disk
  44. Mon Apr 7 14:30:30 2014 memory use: 2738.8 MB
  45. Mon Apr 7 14:30:37 2014 keeping 57253575 ideals with weight <= 200, target excess is 369631
  46. Mon Apr 7 14:30:44 2014 commencing in-memory singleton removal
  47. Mon Apr 7 14:30:50 2014 begin with 72158629 relations and 57253575 unique ideals
  48. Mon Apr 7 14:31:27 2014 reduce to 72154601 relations and 57249546 ideals in 6 passes
  49. Mon Apr 7 14:31:27 2014 max relations containing the same ideal: 200
  50. Mon Apr 7 14:31:58 2014 removing 8476386 relations and 6476386 ideals in 2000000 cliques
  51. Mon Apr 7 14:32:00 2014 commencing in-memory singleton removal
  52. Mon Apr 7 14:32:06 2014 begin with 63678215 relations and 57249546 unique ideals
  53. Mon Apr 7 14:32:50 2014 reduce to 62888752 relations and 49957051 ideals in 8 passes
  54. Mon Apr 7 14:32:50 2014 max relations containing the same ideal: 192
  55. Mon Apr 7 14:33:15 2014 removing 6785920 relations and 4785920 ideals in 2000000 cliques
  56. Mon Apr 7 14:33:18 2014 commencing in-memory singleton removal
  57. Mon Apr 7 14:33:22 2014 begin with 56102832 relations and 49957051 unique ideals
  58. Mon Apr 7 14:33:54 2014 reduce to 55544433 relations and 44595494 ideals in 7 passes
  59. Mon Apr 7 14:33:54 2014 max relations containing the same ideal: 177
  60. Mon Apr 7 14:34:18 2014 removing 6303954 relations and 4303954 ideals in 2000000 cliques
  61. Mon Apr 7 14:34:20 2014 commencing in-memory singleton removal
  62. Mon Apr 7 14:34:24 2014 begin with 49240479 relations and 44595494 unique ideals
  63. Mon Apr 7 14:34:52 2014 reduce to 48726873 relations and 39760919 ideals in 7 passes
  64. Mon Apr 7 14:34:52 2014 max relations containing the same ideal: 163
  65. Mon Apr 7 14:35:13 2014 removing 6066208 relations and 4066208 ideals in 2000000 cliques
  66. Mon Apr 7 14:35:15 2014 commencing in-memory singleton removal
  67. Mon Apr 7 14:35:19 2014 begin with 42660665 relations and 39760919 unique ideals
  68. Mon Apr 7 14:35:43 2014 reduce to 42148584 relations and 35163772 ideals in 7 passes
  69. Mon Apr 7 14:35:43 2014 max relations containing the same ideal: 151
  70. Mon Apr 7 14:36:01 2014 removing 5920544 relations and 3920544 ideals in 2000000 cliques
  71. Mon Apr 7 14:36:03 2014 commencing in-memory singleton removal
  72. Mon Apr 7 14:36:06 2014 begin with 36228040 relations and 35163772 unique ideals
  73. Mon Apr 7 14:36:26 2014 reduce to 35694162 relations and 30687342 ideals in 7 passes
  74. Mon Apr 7 14:36:26 2014 max relations containing the same ideal: 135
  75. Mon Apr 7 14:36:41 2014 removing 5818669 relations and 3818669 ideals in 2000000 cliques
  76. Mon Apr 7 14:36:43 2014 commencing in-memory singleton removal
  77. Mon Apr 7 14:36:45 2014 begin with 29875493 relations and 30687342 unique ideals
  78. Mon Apr 7 14:37:01 2014 reduce to 29290988 relations and 26255906 ideals in 7 passes
  79. Mon Apr 7 14:37:01 2014 max relations containing the same ideal: 120
  80. Mon Apr 7 14:37:14 2014 removing 5746589 relations and 3746589 ideals in 2000000 cliques
  81. Mon Apr 7 14:37:16 2014 commencing in-memory singleton removal
  82. Mon Apr 7 14:37:17 2014 begin with 23544399 relations and 26255906 unique ideals
  83. Mon Apr 7 14:37:32 2014 reduce to 22858442 relations and 21783250 ideals in 8 passes
  84. Mon Apr 7 14:37:32 2014 max relations containing the same ideal: 103
  85. Mon Apr 7 14:37:42 2014 removing 2291678 relations and 1645258 ideals in 646420 cliques
  86. Mon Apr 7 14:37:43 2014 commencing in-memory singleton removal
  87. Mon Apr 7 14:37:44 2014 begin with 20566764 relations and 21783250 unique ideals
  88. Mon Apr 7 14:37:55 2014 reduce to 20398065 relations and 19964921 ideals in 7 passes
  89. Mon Apr 7 14:37:55 2014 max relations containing the same ideal: 95
  90. Mon Apr 7 14:38:07 2014 relations with 0 large ideals: 13934
  91. Mon Apr 7 14:38:07 2014 relations with 1 large ideals: 3872
  92. Mon Apr 7 14:38:07 2014 relations with 2 large ideals: 50529
  93. Mon Apr 7 14:38:07 2014 relations with 3 large ideals: 372745
  94. Mon Apr 7 14:38:07 2014 relations with 4 large ideals: 1488986
  95. Mon Apr 7 14:38:07 2014 relations with 5 large ideals: 3553529
  96. Mon Apr 7 14:38:07 2014 relations with 6 large ideals: 5287249
  97. Mon Apr 7 14:38:07 2014 relations with 7+ large ideals: 9627221
  98. Mon Apr 7 14:38:07 2014 commencing 2-way merge
  99. Mon Apr 7 14:38:19 2014 reduce to 13979434 relation sets and 13546290 unique ideals
  100. Mon Apr 7 14:38:19 2014 commencing full merge
  101. Mon Apr 7 14:43:31 2014 memory use: 1818.8 MB
  102. Mon Apr 7 14:43:32 2014 found 6456245 cycles, need 6422490
  103. Mon Apr 7 14:43:34 2014 weight of 6422490 cycles is about 719976867 (112.10/cycle)
  104. Mon Apr 7 14:43:34 2014 distribution of cycle lengths:
  105. Mon Apr 7 14:43:34 2014 1 relations: 223692
  106. Mon Apr 7 14:43:34 2014 2 relations: 385689
  107. Mon Apr 7 14:43:34 2014 3 relations: 479415
  108. Mon Apr 7 14:43:34 2014 4 relations: 506881
  109. Mon Apr 7 14:43:34 2014 5 relations: 529692
  110. Mon Apr 7 14:43:34 2014 6 relations: 523095
  111. Mon Apr 7 14:43:34 2014 7 relations: 509642
  112. Mon Apr 7 14:43:34 2014 8 relations: 479975
  113. Mon Apr 7 14:43:34 2014 9 relations: 444491
  114. Mon Apr 7 14:43:34 2014 10+ relations: 2339918
  115. Mon Apr 7 14:43:34 2014 heaviest cycle: 28 relations
  116. Mon Apr 7 14:43:36 2014 commencing cycle optimization
  117. Mon Apr 7 14:43:47 2014 start with 54081689 relations
  118. Mon Apr 7 14:45:43 2014 pruned 2627242 relations
  119. Mon Apr 7 14:45:43 2014 memory use: 1411.2 MB
  120. Mon Apr 7 14:45:44 2014 distribution of cycle lengths:
  121. Mon Apr 7 14:45:44 2014 1 relations: 223692
  122. Mon Apr 7 14:45:44 2014 2 relations: 396024
  123. Mon Apr 7 14:45:44 2014 3 relations: 501304
  124. Mon Apr 7 14:45:44 2014 4 relations: 530937
  125. Mon Apr 7 14:45:44 2014 5 relations: 558958
  126. Mon Apr 7 14:45:44 2014 6 relations: 551635
  127. Mon Apr 7 14:45:44 2014 7 relations: 538330
  128. Mon Apr 7 14:45:44 2014 8 relations: 503982
  129. Mon Apr 7 14:45:44 2014 9 relations: 465734
  130. Mon Apr 7 14:45:44 2014 10+ relations: 2151894
  131. Mon Apr 7 14:45:44 2014 heaviest cycle: 28 relations
  132. Mon Apr 7 14:45:55 2014 RelProcTime: 5017
  133. Mon Apr 7 14:45:55 2014
  134. Mon Apr 7 14:45:55 2014 commencing linear algebra
  135. Mon Apr 7 14:45:56 2014 read 6422490 cycles
  136. Mon Apr 7 14:46:08 2014 cycles contain 20167011 unique relations
  137. Mon Apr 7 14:55:00 2014 read 20167011 relations
  138. Mon Apr 7 14:55:36 2014 using 20 quadratic characters above 1073739938
  139. Mon Apr 7 14:56:54 2014 building initial matrix
  140. Mon Apr 7 15:01:04 2014 memory use: 2682.0 MB
  141. Mon Apr 7 15:01:10 2014 read 6422490 cycles
  142. Mon Apr 7 15:01:11 2014 matrix is 6422318 x 6422490 (2825.5 MB) with weight 828877605 (129.06/col)
  143. Mon Apr 7 15:01:11 2014 sparse part has weight 670041300 (104.33/col)
  144. Mon Apr 7 15:02:23 2014 filtering completed in 2 passes
  145. Mon Apr 7 15:02:24 2014 matrix is 6422192 x 6422368 (2825.5 MB) with weight 828872899 (129.06/col)
  146. Mon Apr 7 15:02:24 2014 sparse part has weight 670039617 (104.33/col)
  147. Mon Apr 7 15:03:12 2014 matrix starts at (0, 0)
  148. Mon Apr 7 15:03:13 2014 matrix is 6422192 x 6422368 (2825.5 MB) with weight 828872899 (129.06/col)
  149. Mon Apr 7 15:03:13 2014 sparse part has weight 670039617 (104.33/col)
  150. Mon Apr 7 15:03:13 2014 saving the first 48 matrix rows for later
  151. Mon Apr 7 15:03:14 2014 matrix includes 64 packed rows
  152. Mon Apr 7 15:03:15 2014 matrix is 6422144 x 6422368 (2721.6 MB) with weight 703141729 (109.48/col)
  153. Mon Apr 7 15:03:15 2014 sparse part has weight 649226326 (101.09/col)
  154. Mon Apr 7 15:03:15 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  155. Mon Apr 7 15:03:40 2014 commencing Lanczos iteration (3 threads)
  156. Mon Apr 7 15:03:40 2014 memory use: 2280.9 MB
  157. Mon Apr 7 15:04:13 2014 linear algebra at 0.0%, ETA 37h34m
  158. Mon Apr 7 15:04:24 2014 checkpointing every 170000 dimensions
  159. Wed Apr 9 02:55:04 2014 lanczos halted after 101561 iterations (dim = 6422144)
  160. Wed Apr 9 02:55:10 2014 recovered 37 nontrivial dependencies
  161. Wed Apr 9 02:55:11 2014 BLanczosTime: 130156
  162. Wed Apr 9 02:55:11 2014
  163. Wed Apr 9 02:55:11 2014 commencing square root phase
  164. Wed Apr 9 02:55:11 2014 handling dependencies 1 to 64
  165. Wed Apr 9 02:55:11 2014 reading relations for dependency 1
  166. Wed Apr 9 02:55:13 2014 read 3212649 cycles
  167. Wed Apr 9 02:55:19 2014 cycles contain 10087510 unique relations
  168. Wed Apr 9 03:07:58 2014 read 10087510 relations
  169. Wed Apr 9 03:08:41 2014 multiplying 10087510 relations
  170. Wed Apr 9 03:17:48 2014 multiply complete, coefficients have about 319.98 million bits
  171. Wed Apr 9 03:17:49 2014 initial square root is modulo 551443
  172. Wed Apr 9 03:27:28 2014 sqrtTime: 1937
  173. Wed Apr 9 03:27:28 2014 prp90 factor: 535497567711160172153010859465269826041183516037808521064614463015080572153961995059675993
  174. Wed Apr 9 03:27:28 2014 prp115 factor: 3049135816491404884242481356923164411028422868412998277250799996703830230388100813475997899962531824350678815127027
  175. Wed Apr 9 03:27:28 2014 elapsed time 38:05:12
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