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Mar 12th, 2014
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  1. Tue Mar 4 11:35:25 2014
  2. Tue Mar 4 11:35:25 2014
  3. Tue Mar 4 11:35:25 2014 Msieve v. 1.52 (SVN 959)
  4. Tue Mar 4 11:35:25 2014 random seeds: 0c81a0aa 59c7b4bd
  5. Tue Mar 4 11:35:25 2014 factoring 60988807503834176042658427592328926078314816782998232171428454757368969244837756456617347453608031672127871834198618776019090435476166184530455584216965755536423374123884825416124645800785384264859577483050118545921 (215 digits)
  6. Tue Mar 4 11:35:26 2014 no P-1/P+1/ECM available, skipping
  7. Tue Mar 4 11:35:26 2014 commencing number field sieve (215-digit input)
  8. Tue Mar 4 11:35:26 2014 R0: -1000000000000000000000000000000000000000
  9. Tue Mar 4 11:35:26 2014 R1: 1
  10. Tue Mar 4 11:35:26 2014 A0: 1
  11. Tue Mar 4 11:35:26 2014 A1: 0
  12. Tue Mar 4 11:35:26 2014 A2: 0
  13. Tue Mar 4 11:35:26 2014 A3: 0
  14. Tue Mar 4 11:35:26 2014 A4: 0
  15. Tue Mar 4 11:35:26 2014 A5: 0
  16. Tue Mar 4 11:35:26 2014 A6: 23600
  17. Tue Mar 4 11:35:26 2014 skew 1.00, size 3.671e-12, alpha 1.308, combined = 2.914e-13 rroots = 0
  18. Tue Mar 4 11:35:26 2014
  19. Tue Mar 4 11:35:26 2014 commencing relation filtering
  20. Tue Mar 4 11:35:26 2014 setting target matrix density to 96.0
  21. Tue Mar 4 11:35:26 2014 estimated available RAM is 16009.0 MB
  22. Tue Mar 4 11:35:26 2014 commencing duplicate removal, pass 1
  23. Tue Mar 4 11:38:19 2014 error -1 reading relation 7414184
  24. ... 60k errors
  25. Tue Mar 4 11:59:56 2014 error -9 reading relation 112369896
  26. Tue Mar 4 12:00:12 2014 skipped 1189 relations with b > 2^32
  27. Tue Mar 4 12:00:12 2014 found 27013236 hash collisions in 114030854 relations
  28. Tue Mar 4 12:00:28 2014 added 1217833 free relations
  29. Tue Mar 4 12:00:28 2014 commencing duplicate removal, pass 2
  30. Tue Mar 4 12:07:05 2014 found 29126644 duplicates and 86122043 unique relations
  31. Tue Mar 4 12:07:05 2014 memory use: 660.8 MB
  32. Tue Mar 4 12:07:05 2014 reading ideals above 89849856
  33. Tue Mar 4 12:07:05 2014 commencing singleton removal, initial pass
  34. Tue Mar 4 12:24:55 2014 memory use: 1506.0 MB
  35. Tue Mar 4 12:24:56 2014 reading all ideals from disk
  36. Tue Mar 4 12:25:10 2014 memory use: 1625.1 MB
  37. Tue Mar 4 12:25:13 2014 commencing in-memory singleton removal
  38. Tue Mar 4 12:25:16 2014 begin with 86122043 relations and 79212979 unique ideals
  39. Tue Mar 4 12:25:49 2014 reduce to 48524108 relations and 36991399 ideals in 16 passes
  40. Tue Mar 4 12:25:49 2014 max relations containing the same ideal: 25
  41. Tue Mar 4 12:25:52 2014 reading ideals above 720000
  42. Tue Mar 4 12:25:52 2014 commencing singleton removal, initial pass
  43. Tue Mar 4 12:39:17 2014 memory use: 1378.0 MB
  44. Tue Mar 4 12:39:17 2014 reading all ideals from disk
  45. Tue Mar 4 12:39:34 2014 memory use: 1897.0 MB
  46. Tue Mar 4 12:39:39 2014 keeping 47150176 ideals with weight <= 200, target excess is 256960
  47. Tue Mar 4 12:39:43 2014 commencing in-memory singleton removal
  48. Tue Mar 4 12:39:48 2014 begin with 48524111 relations and 47150176 unique ideals
  49. Tue Mar 4 12:40:26 2014 reduce to 48515724 relations and 47141780 ideals in 9 passes
  50. Tue Mar 4 12:40:26 2014 max relations containing the same ideal: 200
  51. Tue Mar 4 12:40:48 2014 removing 3307347 relations and 2907347 ideals in 400000 cliques
  52. Tue Mar 4 12:40:49 2014 commencing in-memory singleton removal
  53. Tue Mar 4 12:40:53 2014 begin with 45208377 relations and 47141780 unique ideals
  54. Tue Mar 4 12:41:30 2014 reduce to 45036277 relations and 44060382 ideals in 9 passes
  55. Tue Mar 4 12:41:30 2014 max relations containing the same ideal: 198
  56. Tue Mar 4 12:41:50 2014 removing 2461656 relations and 2061656 ideals in 400000 cliques
  57. Tue Mar 4 12:41:51 2014 commencing in-memory singleton removal
  58. Tue Mar 4 12:41:55 2014 begin with 42574621 relations and 44060382 unique ideals
  59. Tue Mar 4 12:42:29 2014 reduce to 42468103 relations and 41891210 ideals in 9 passes
  60. Tue Mar 4 12:42:29 2014 max relations containing the same ideal: 192
  61. Tue Mar 4 12:42:47 2014 removing 1612136 relations and 1333317 ideals in 278819 cliques
  62. Tue Mar 4 12:42:48 2014 commencing in-memory singleton removal
  63. Tue Mar 4 12:42:52 2014 begin with 40855967 relations and 41891210 unique ideals
  64. Tue Mar 4 12:43:20 2014 reduce to 40807985 relations and 40509564 ideals in 8 passes
  65. Tue Mar 4 12:43:20 2014 max relations containing the same ideal: 187
  66. Tue Mar 4 12:43:45 2014 relations with 0 large ideals: 9530
  67. Tue Mar 4 12:43:45 2014 relations with 1 large ideals: 1648
  68. Tue Mar 4 12:43:45 2014 relations with 2 large ideals: 11640
  69. Tue Mar 4 12:43:45 2014 relations with 3 large ideals: 124222
  70. Tue Mar 4 12:43:45 2014 relations with 4 large ideals: 760750
  71. Tue Mar 4 12:43:45 2014 relations with 5 large ideals: 2856737
  72. Tue Mar 4 12:43:45 2014 relations with 6 large ideals: 6822126
  73. Tue Mar 4 12:43:45 2014 relations with 7+ large ideals: 30221332
  74. Tue Mar 4 12:43:45 2014 commencing 2-way merge
  75. Tue Mar 4 12:44:11 2014 reduce to 27263595 relation sets and 26965174 unique ideals
  76. Tue Mar 4 12:44:11 2014 commencing full merge
  77. Tue Mar 4 12:54:07 2014 memory use: 3387.7 MB
  78. Tue Mar 4 12:54:09 2014 found 12864335 cycles, need 12863374
  79. Tue Mar 4 12:54:13 2014 weight of 12863374 cycles is about 1235063508 (96.01/cycle)
  80. Tue Mar 4 12:54:13 2014 distribution of cycle lengths:
  81. Tue Mar 4 12:54:13 2014 1 relations: 954924
  82. Tue Mar 4 12:54:13 2014 2 relations: 1224055
  83. Tue Mar 4 12:54:13 2014 3 relations: 1330100
  84. Tue Mar 4 12:54:13 2014 4 relations: 1245853
  85. Tue Mar 4 12:54:13 2014 5 relations: 1154660
  86. Tue Mar 4 12:54:13 2014 6 relations: 1021364
  87. Tue Mar 4 12:54:13 2014 7 relations: 900028
  88. Tue Mar 4 12:54:13 2014 8 relations: 778133
  89. Tue Mar 4 12:54:13 2014 9 relations: 675965
  90. Tue Mar 4 12:54:13 2014 10+ relations: 3578292
  91. Tue Mar 4 12:54:13 2014 heaviest cycle: 28 relations
  92. Tue Mar 4 12:54:16 2014 commencing cycle optimization
  93. Tue Mar 4 12:54:36 2014 start with 93847921 relations
  94. Tue Mar 4 12:57:45 2014 pruned 3327362 relations
  95. Tue Mar 4 12:57:45 2014 memory use: 2669.8 MB
  96. Tue Mar 4 12:57:45 2014 distribution of cycle lengths:
  97. Tue Mar 4 12:57:45 2014 1 relations: 954924
  98. Tue Mar 4 12:57:45 2014 2 relations: 1255681
  99. Tue Mar 4 12:57:45 2014 3 relations: 1389551
  100. Tue Mar 4 12:57:45 2014 4 relations: 1290570
  101. Tue Mar 4 12:57:45 2014 5 relations: 1197071
  102. Tue Mar 4 12:57:45 2014 6 relations: 1046094
  103. Tue Mar 4 12:57:45 2014 7 relations: 917952
  104. Tue Mar 4 12:57:45 2014 8 relations: 785128
  105. Tue Mar 4 12:57:45 2014 9 relations: 678693
  106. Tue Mar 4 12:57:45 2014 10+ relations: 3347710
  107. Tue Mar 4 12:57:45 2014 heaviest cycle: 28 relations
  108. Tue Mar 4 12:58:05 2014 RelProcTime: 4959
  109. Tue Mar 4 12:58:05 2014
  110. Tue Mar 4 12:58:05 2014 commencing linear algebra
  111. Tue Mar 4 12:58:11 2014 read 12863374 cycles
  112. Tue Mar 4 12:58:32 2014 cycles contain 40578443 unique relations
  113. Tue Mar 4 13:08:57 2014 read 40578443 relations
  114. Tue Mar 4 13:10:07 2014 using 20 quadratic characters above 1073741790
  115. Tue Mar 4 13:12:36 2014 building initial matrix
  116. Tue Mar 4 13:19:43 2014 memory use: 5218.8 MB
  117. Tue Mar 4 13:20:31 2014 read 12863374 cycles
  118. Tue Mar 4 13:20:33 2014 matrix is 12863197 x 12863374 (5018.2 MB) with weight 1440340832 (111.97/col)
  119. Tue Mar 4 13:20:33 2014 sparse part has weight 1173994244 (91.27/col)
  120. Tue Mar 4 13:22:49 2014 filtering completed in 2 passes
  121. Tue Mar 4 13:22:51 2014 matrix is 12863062 x 12863239 (5018.2 MB) with weight 1440336946 (111.97/col)
  122. Tue Mar 4 13:22:51 2014 sparse part has weight 1173993434 (91.27/col)
  123. Tue Mar 4 13:24:32 2014 matrix starts at (0, 0)
  124. Tue Mar 4 13:24:34 2014 matrix is 12863062 x 12863239 (5018.2 MB) with weight 1440336946 (111.97/col)
  125. Tue Mar 4 13:24:34 2014 sparse part has weight 1173993434 (91.27/col)
  126. Tue Mar 4 13:24:34 2014 saving the first 48 matrix rows for later
  127. Tue Mar 4 13:24:36 2014 matrix includes 64 packed rows
  128. Tue Mar 4 13:24:37 2014 matrix is 12863014 x 12863239 (4816.3 MB) with weight 1210280079 (94.09/col)
  129. Tue Mar 4 13:24:37 2014 sparse part has weight 1133919545 (88.15/col)
  130. Tue Mar 4 13:24:38 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  131. Tue Mar 4 13:25:27 2014 commencing Lanczos iteration (3 threads)
  132. Tue Mar 4 13:25:27 2014 memory use: 4103.6 MB
  133. Tue Mar 4 13:26:34 2014 linear algebra at 0.0%, ETA 150h49m
  134. Tue Mar 4 13:26:56 2014 checkpointing every 90000 dimensions
  135. Wed Mar 12 07:18:02 2014 lanczos halted after 203418 iterations (dim = 12863013)
  136. Wed Mar 12 07:18:25 2014 recovered 41 nontrivial dependencies
  137. Wed Mar 12 07:18:25 2014 BLanczosTime: 670820
  138. Wed Mar 12 07:18:25 2014
  139. Wed Mar 12 07:18:25 2014 commencing square root phase
  140. Wed Mar 12 07:18:25 2014 handling dependencies 1 to 64
  141. Wed Mar 12 07:18:25 2014 reading relations for dependency 1
  142. Wed Mar 12 07:18:30 2014 read 6431661 cycles
  143. Wed Mar 12 07:18:40 2014 cycles contain 20287722 unique relations
  144. Wed Mar 12 07:31:07 2014 read 20287722 relations
  145. Wed Mar 12 07:32:38 2014 multiplying 20287722 relations
  146. Wed Mar 12 07:57:19 2014 multiply complete, coefficients have about 779.93 million bits
  147. Wed Mar 12 07:57:21 2014 initial square root is modulo 9935041
  148. Wed Mar 12 08:23:06 2014 GCD is 1, no factor found
  149. Wed Mar 12 08:23:06 2014 reading relations for dependency 2
  150. Wed Mar 12 08:23:10 2014 read 6430514 cycles
  151. Wed Mar 12 08:23:21 2014 cycles contain 20289362 unique relations
  152. Wed Mar 12 08:35:43 2014 read 20289362 relations
  153. Wed Mar 12 08:37:14 2014 multiplying 20289362 relations
  154. Wed Mar 12 09:01:47 2014 multiply complete, coefficients have about 779.99 million bits
  155. Wed Mar 12 09:01:49 2014 initial square root is modulo 9947383
  156. Wed Mar 12 09:27:41 2014 sqrtTime: 7756
  157. Wed Mar 12 09:27:41 2014 prp81 factor: 370514039103297589163947469354351108889478563221749443111016730766104949845145643
  158. Wed Mar 12 09:27:41 2014 prp135 factor: 164605928702288067539647117070647194630732448665473685751092055424564430567289359832727027960508027695182042388897842243799664456354947
  159. Wed Mar 12 09:27:41 2014 elapsed time 189:52:16
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