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Feb 17th, 2014
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  1. Tue Feb 11 09:16:41 2014
  2. Tue Feb 11 09:16:41 2014
  3. Tue Feb 11 09:16:41 2014 Msieve v. 1.52 (SVN 959)
  4. Tue Feb 11 09:16:41 2014 random seeds: 325e5fe7 ea834f48
  5. Tue Feb 11 09:16:41 2014 factoring 21663746713126533905050865459299777932949857040329710158760763532907940394646780457350760247363124448172133439377118093228686407758663788578718110305832956660867091372764772924890818116181 (188 digits)
  6. Tue Feb 11 09:16:43 2014 no P-1/P+1/ECM available, skipping
  7. Tue Feb 11 09:16:43 2014 commencing number field sieve (188-digit input)
  8. Tue Feb 11 09:16:43 2014 R0: -749048330965186233494494102694564493649
  9. Tue Feb 11 09:16:43 2014 R1: 1
  10. Tue Feb 11 09:16:43 2014 A0: -1
  11. Tue Feb 11 09:16:43 2014 A1: 0
  12. Tue Feb 11 09:16:43 2014 A2: 0
  13. Tue Feb 11 09:16:43 2014 A3: 0
  14. Tue Feb 11 09:16:43 2014 A4: 0
  15. Tue Feb 11 09:16:43 2014 A5: 0
  16. Tue Feb 11 09:16:43 2014 A6: 13622
  17. Tue Feb 11 09:16:43 2014 skew 1.00, size 3.968e-12, alpha 2.000, combined = 3.061e-13 rroots = 2
  18. Tue Feb 11 09:16:43 2014
  19. Tue Feb 11 09:16:43 2014 commencing relation filtering
  20. Tue Feb 11 09:16:43 2014 setting target matrix density to 96.0
  21. Tue Feb 11 09:16:43 2014 estimated available RAM is 16009.0 MB
  22. Tue Feb 11 09:16:43 2014 commencing duplicate removal, pass 1
  23. Tue Feb 11 09:18:12 2014 error -9 reading relation 8022160
  24. ...
  25. Tue Feb 11 09:37:09 2014 error -15 reading relation 114101430
  26. Tue Feb 11 09:37:36 2014 skipped 754 relations with b > 2^32
  27. Tue Feb 11 09:37:36 2014 found 26637557 hash collisions in 116123522 relations
  28. Tue Feb 11 09:37:49 2014 commencing duplicate removal, pass 2
  29. Tue Feb 11 09:44:55 2014 found 28347803 duplicates and 87775719 unique relations
  30. Tue Feb 11 09:44:55 2014 memory use: 660.8 MB
  31. Tue Feb 11 09:44:55 2014 reading ideals above 89849856
  32. Tue Feb 11 09:44:55 2014 commencing singleton removal, initial pass
  33. Tue Feb 11 10:03:56 2014 memory use: 1506.0 MB
  34. Tue Feb 11 10:03:56 2014 reading all ideals from disk
  35. Tue Feb 11 10:04:13 2014 memory use: 1641.0 MB
  36. Tue Feb 11 10:04:16 2014 commencing in-memory singleton removal
  37. Tue Feb 11 10:04:20 2014 begin with 87775719 relations and 79438443 unique ideals
  38. Tue Feb 11 10:04:56 2014 reduce to 50450676 relations and 37636164 ideals in 16 passes
  39. Tue Feb 11 10:04:56 2014 max relations containing the same ideal: 29
  40. Tue Feb 11 10:04:58 2014 reading ideals above 720000
  41. Tue Feb 11 10:04:59 2014 commencing singleton removal, initial pass
  42. Tue Feb 11 10:20:31 2014 memory use: 1378.0 MB
  43. Tue Feb 11 10:20:31 2014 reading all ideals from disk
  44. Tue Feb 11 10:20:50 2014 memory use: 1962.1 MB
  45. Tue Feb 11 10:20:56 2014 keeping 47784971 ideals with weight <= 200, target excess is 266252
  46. Tue Feb 11 10:21:01 2014 commencing in-memory singleton removal
  47. Tue Feb 11 10:21:05 2014 begin with 50450677 relations and 47784971 unique ideals
  48. Tue Feb 11 10:21:46 2014 reduce to 50444873 relations and 47779164 ideals in 9 passes
  49. Tue Feb 11 10:21:46 2014 max relations containing the same ideal: 200
  50. Tue Feb 11 10:22:09 2014 removing 3242352 relations and 2842352 ideals in 400000 cliques
  51. Tue Feb 11 10:22:11 2014 commencing in-memory singleton removal
  52. Tue Feb 11 10:22:15 2014 begin with 47202521 relations and 47779164 unique ideals
  53. Tue Feb 11 10:22:54 2014 reduce to 47046883 relations and 44779438 ideals in 9 passes
  54. Tue Feb 11 10:22:54 2014 max relations containing the same ideal: 198
  55. Tue Feb 11 10:23:15 2014 removing 2410280 relations and 2010280 ideals in 400000 cliques
  56. Tue Feb 11 10:23:17 2014 commencing in-memory singleton removal
  57. Tue Feb 11 10:23:21 2014 begin with 44636603 relations and 44779438 unique ideals
  58. Tue Feb 11 10:23:49 2014 reduce to 44542218 relations and 42673929 ideals in 7 passes
  59. Tue Feb 11 10:23:49 2014 max relations containing the same ideal: 191
  60. Tue Feb 11 10:24:09 2014 removing 2148655 relations and 1748655 ideals in 400000 cliques
  61. Tue Feb 11 10:24:10 2014 commencing in-memory singleton removal
  62. Tue Feb 11 10:24:14 2014 begin with 42393563 relations and 42673929 unique ideals
  63. Tue Feb 11 10:24:45 2014 reduce to 42314826 relations and 40845859 ideals in 8 passes
  64. Tue Feb 11 10:24:45 2014 max relations containing the same ideal: 186
  65. Tue Feb 11 10:25:04 2014 removing 2001778 relations and 1601778 ideals in 400000 cliques
  66. Tue Feb 11 10:25:04 2014 commencing in-memory singleton removal
  67. Tue Feb 11 10:25:08 2014 begin with 40313048 relations and 40845859 unique ideals
  68. Tue Feb 11 10:25:37 2014 reduce to 40240212 relations and 39170602 ideals in 8 passes
  69. Tue Feb 11 10:25:37 2014 max relations containing the same ideal: 181
  70. Tue Feb 11 10:25:56 2014 removing 1910444 relations and 1510444 ideals in 400000 cliques
  71. Tue Feb 11 10:25:57 2014 commencing in-memory singleton removal
  72. Tue Feb 11 10:26:00 2014 begin with 38329768 relations and 39170602 unique ideals
  73. Tue Feb 11 10:26:24 2014 reduce to 38260006 relations and 37589719 ideals in 7 passes
  74. Tue Feb 11 10:26:24 2014 max relations containing the same ideal: 177
  75. Tue Feb 11 10:26:42 2014 removing 1691619 relations and 1330185 ideals in 361434 cliques
  76. Tue Feb 11 10:26:43 2014 commencing in-memory singleton removal
  77. Tue Feb 11 10:26:47 2014 begin with 36568387 relations and 37589719 unique ideals
  78. Tue Feb 11 10:27:14 2014 reduce to 36510058 relations and 36200699 ideals in 8 passes
  79. Tue Feb 11 10:27:14 2014 max relations containing the same ideal: 171
  80. Tue Feb 11 10:27:38 2014 relations with 0 large ideals: 10015
  81. Tue Feb 11 10:27:38 2014 relations with 1 large ideals: 1747
  82. Tue Feb 11 10:27:38 2014 relations with 2 large ideals: 14418
  83. Tue Feb 11 10:27:38 2014 relations with 3 large ideals: 145849
  84. Tue Feb 11 10:27:38 2014 relations with 4 large ideals: 840558
  85. Tue Feb 11 10:27:38 2014 relations with 5 large ideals: 2964705
  86. Tue Feb 11 10:27:38 2014 relations with 6 large ideals: 6642466
  87. Tue Feb 11 10:27:38 2014 relations with 7+ large ideals: 25890300
  88. Tue Feb 11 10:27:38 2014 commencing 2-way merge
  89. Tue Feb 11 10:28:02 2014 reduce to 24626465 relation sets and 24317106 unique ideals
  90. Tue Feb 11 10:28:02 2014 commencing full merge
  91. Tue Feb 11 10:37:04 2014 memory use: 3071.6 MB
  92. Tue Feb 11 10:37:06 2014 found 11782736 cycles, need 11757306
  93. Tue Feb 11 10:37:10 2014 weight of 11757306 cycles is about 1128993187 (96.02/cycle)
  94. Tue Feb 11 10:37:10 2014 distribution of cycle lengths:
  95. Tue Feb 11 10:37:10 2014 1 relations: 822111
  96. Tue Feb 11 10:37:10 2014 2 relations: 1097268
  97. Tue Feb 11 10:37:10 2014 3 relations: 1205355
  98. Tue Feb 11 10:37:10 2014 4 relations: 1143795
  99. Tue Feb 11 10:37:10 2014 5 relations: 1070556
  100. Tue Feb 11 10:37:10 2014 6 relations: 962676
  101. Tue Feb 11 10:37:10 2014 7 relations: 861721
  102. Tue Feb 11 10:37:10 2014 8 relations: 756590
  103. Tue Feb 11 10:37:10 2014 9 relations: 663779
  104. Tue Feb 11 10:37:10 2014 10+ relations: 3173455
  105. Tue Feb 11 10:37:10 2014 heaviest cycle: 28 relations
  106. Tue Feb 11 10:37:12 2014 commencing cycle optimization
  107. Tue Feb 11 10:37:31 2014 start with 83645191 relations
  108. Tue Feb 11 10:40:17 2014 pruned 3005985 relations
  109. Tue Feb 11 10:40:17 2014 memory use: 2390.0 MB
  110. Tue Feb 11 10:40:17 2014 distribution of cycle lengths:
  111. Tue Feb 11 10:40:17 2014 1 relations: 822111
  112. Tue Feb 11 10:40:17 2014 2 relations: 1125288
  113. Tue Feb 11 10:40:17 2014 3 relations: 1259001
  114. Tue Feb 11 10:40:17 2014 4 relations: 1185621
  115. Tue Feb 11 10:40:17 2014 5 relations: 1111209
  116. Tue Feb 11 10:40:17 2014 6 relations: 989314
  117. Tue Feb 11 10:40:17 2014 7 relations: 882180
  118. Tue Feb 11 10:40:17 2014 8 relations: 766916
  119. Tue Feb 11 10:40:17 2014 9 relations: 669883
  120. Tue Feb 11 10:40:17 2014 10+ relations: 2945783
  121. Tue Feb 11 10:40:17 2014 heaviest cycle: 28 relations
  122. Tue Feb 11 10:40:36 2014 RelProcTime: 5033
  123. Tue Feb 11 10:40:36 2014
  124. Tue Feb 11 10:40:36 2014 commencing linear algebra
  125. Tue Feb 11 10:40:42 2014 read 11757306 cycles
  126. Tue Feb 11 10:41:02 2014 cycles contain 36307138 unique relations
  127. Tue Feb 11 10:51:56 2014 read 36307138 relations
  128. Tue Feb 11 10:53:05 2014 using 20 quadratic characters above 1073741690
  129. Tue Feb 11 10:55:28 2014 building initial matrix
  130. Tue Feb 11 11:02:04 2014 memory use: 4724.5 MB
  131. Tue Feb 11 11:02:39 2014 read 11757306 cycles
  132. Tue Feb 11 11:02:41 2014 matrix is 11757135 x 11757306 (4532.1 MB) with weight 1301793576 (110.72/col)
  133. Tue Feb 11 11:02:41 2014 sparse part has weight 1070487933 (91.05/col)
  134. Tue Feb 11 11:04:49 2014 filtering completed in 2 passes
  135. Tue Feb 11 11:04:51 2014 matrix is 11756570 x 11756741 (4532.1 MB) with weight 1301778229 (110.73/col)
  136. Tue Feb 11 11:04:51 2014 sparse part has weight 1070483767 (91.05/col)
  137. Tue Feb 11 11:06:08 2014 matrix starts at (0, 0)
  138. Tue Feb 11 11:06:09 2014 matrix is 11756570 x 11756741 (4532.1 MB) with weight 1301778229 (110.73/col)
  139. Tue Feb 11 11:06:09 2014 sparse part has weight 1070483767 (91.05/col)
  140. Tue Feb 11 11:06:09 2014 saving the first 48 matrix rows for later
  141. Tue Feb 11 11:06:11 2014 matrix includes 64 packed rows
  142. Tue Feb 11 11:06:13 2014 matrix is 11756522 x 11756741 (4348.4 MB) with weight 1091521654 (92.84/col)
  143. Tue Feb 11 11:06:13 2014 sparse part has weight 1022332567 (86.96/col)
  144. Tue Feb 11 11:06:13 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  145. Tue Feb 11 11:07:00 2014 commencing Lanczos iteration (4 threads)
  146. Tue Feb 11 11:07:00 2014 memory use: 3671.9 MB
  147. Tue Feb 11 11:08:08 2014 linear algebra at 0.0%, ETA 142h 3m
  148. Tue Feb 11 11:08:30 2014 checkpointing every 90000 dimensions
  149. Mon Feb 17 08:42:25 2014 lanczos halted after 185917 iterations (dim = 11756516)
  150. Mon Feb 17 08:42:38 2014 recovered 38 nontrivial dependencies
  151. Mon Feb 17 08:42:39 2014 BLanczosTime: 511323
  152. Mon Feb 17 08:42:39 2014
  153. Mon Feb 17 08:42:39 2014 commencing square root phase
  154. Mon Feb 17 08:42:39 2014 handling dependencies 1 to 64
  155. Mon Feb 17 08:42:39 2014 reading relations for dependency 1
  156. Mon Feb 17 08:42:44 2014 read 5879139 cycles
  157. Mon Feb 17 08:42:53 2014 cycles contain 18157578 unique relations
  158. Mon Feb 17 08:55:06 2014 read 18157578 relations
  159. Mon Feb 17 08:56:24 2014 multiplying 18157578 relations
  160. Mon Feb 17 09:19:31 2014 multiply complete, coefficients have about 682.56 million bits
  161. Mon Feb 17 09:19:33 2014 initial square root is modulo 1329397
  162. Mon Feb 17 09:43:28 2014 sqrtTime: 3649
  163. Mon Feb 17 09:43:28 2014 prp85 factor: 1598535687254573960761730497664270492821179174923075610363354771607667987767882523633
  164. Mon Feb 17 09:43:28 2014 prp104 factor: 13552244648559094262907882442641502157484163380797839754302854665381739912877976277997246548328256622757
  165. Mon Feb 17 09:43:28 2014 elapsed time 144:26:47
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