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Jan 13th, 2019
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  1. Wed Jan 9 21:38:38 2019
  2. Wed Jan 9 21:38:38 2019
  3. Wed Jan 9 21:38:38 2019 Msieve v. 1.53 (SVN 988M)
  4. Wed Jan 9 21:38:38 2019 random seeds: 81f9fa65 1b26abaa
  5. Wed Jan 9 21:38:38 2019 factoring 82222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223 (245 digits)
  6. Wed Jan 9 21:38:40 2019 searching for 15-digit factors
  7. Wed Jan 9 21:38:41 2019 commencing number field sieve (245-digit input)
  8. Wed Jan 9 21:38:41 2019 R0: -100000000000000000000000000000000000000000
  9. Wed Jan 9 21:38:41 2019 R1: 1
  10. Wed Jan 9 21:38:41 2019 A0: 350
  11. Wed Jan 9 21:38:41 2019 A1: 0
  12. Wed Jan 9 21:38:41 2019 A2: 0
  13. Wed Jan 9 21:38:41 2019 A3: 0
  14. Wed Jan 9 21:38:41 2019 A4: 0
  15. Wed Jan 9 21:38:41 2019 A5: 0
  16. Wed Jan 9 21:38:41 2019 A6: 37
  17. Wed Jan 9 21:38:41 2019 skew 1.00, size 2.562e-12, alpha -0.712, combined = 2.342e-13 rroots = 0
  18. Wed Jan 9 21:38:41 2019
  19. Wed Jan 9 21:38:41 2019 commencing relation filtering
  20. Wed Jan 9 21:38:41 2019 setting target matrix density to 115.0
  21. Wed Jan 9 21:38:41 2019 estimated available RAM is 32768.0 MB
  22. Wed Jan 9 21:38:41 2019 commencing duplicate removal, pass 1
  23. Wed Jan 9 21:39:21 2019 error -9 reading relation 6128870
  24. [1170 more error lines]
  25. Wed Jan 9 22:02:30 2019 error -9 reading relation 216580004
  26. Wed Jan 9 22:02:33 2019 skipped 31 relations with b > 2^32
  27. Wed Jan 9 22:02:33 2019 skipped 501 relations with composite factors
  28. Wed Jan 9 22:02:33 2019 found 44361397 hash collisions in 216931762 relations
  29. Wed Jan 9 22:02:44 2019 added 1218841 free relations
  30. Wed Jan 9 22:02:44 2019 commencing duplicate removal, pass 2
  31. Wed Jan 9 22:05:45 2019 found 44883011 duplicates and 173267592 unique relations
  32. Wed Jan 9 22:05:45 2019 memory use: 1321.5 MB
  33. Wed Jan 9 22:05:46 2019 reading ideals above 179896320
  34. Wed Jan 9 22:05:46 2019 commencing singleton removal, initial pass
  35. Wed Jan 9 22:20:13 2019 memory use: 3012.0 MB
  36. Wed Jan 9 22:20:14 2019 reading all ideals from disk
  37. Wed Jan 9 22:20:16 2019 memory use: 2820.9 MB
  38. Wed Jan 9 22:20:21 2019 commencing in-memory singleton removal
  39. Wed Jan 9 22:20:26 2019 begin with 173267592 relations and 149930523 unique ideals
  40. Wed Jan 9 22:21:30 2019 reduce to 98187271 relations and 65641055 ideals in 16 passes
  41. Wed Jan 9 22:21:30 2019 max relations containing the same ideal: 27
  42. Wed Jan 9 22:21:38 2019 reading ideals above 720000
  43. Wed Jan 9 22:21:38 2019 commencing singleton removal, initial pass
  44. Wed Jan 9 22:33:08 2019 memory use: 2756.0 MB
  45. Wed Jan 9 22:33:09 2019 reading all ideals from disk
  46. Wed Jan 9 22:33:12 2019 memory use: 3848.3 MB
  47. Wed Jan 9 22:33:20 2019 keeping 85187283 ideals with weight <= 200, target excess is 500063
  48. Wed Jan 9 22:33:29 2019 commencing in-memory singleton removal
  49. Wed Jan 9 22:33:35 2019 begin with 98187271 relations and 85187283 unique ideals
  50. Wed Jan 9 22:34:49 2019 reduce to 98111828 relations and 85111774 ideals in 10 passes
  51. Wed Jan 9 22:34:49 2019 max relations containing the same ideal: 200
  52. Wed Jan 9 22:35:29 2019 removing 12015598 relations and 10015598 ideals in 2000000 cliques
  53. Wed Jan 9 22:35:32 2019 commencing in-memory singleton removal
  54. Wed Jan 9 22:35:38 2019 begin with 86096230 relations and 85111774 unique ideals
  55. Wed Jan 9 22:36:42 2019 reduce to 85014823 relations and 73986946 ideals in 10 passes
  56. Wed Jan 9 22:36:42 2019 max relations containing the same ideal: 191
  57. Wed Jan 9 22:37:17 2019 removing 9088887 relations and 7088887 ideals in 2000000 cliques
  58. Wed Jan 9 22:37:20 2019 commencing in-memory singleton removal
  59. Wed Jan 9 22:37:25 2019 begin with 75925936 relations and 73986946 unique ideals
  60. Wed Jan 9 22:38:10 2019 reduce to 75194652 relations and 66149657 ideals in 8 passes
  61. Wed Jan 9 22:38:10 2019 max relations containing the same ideal: 177
  62. Wed Jan 9 22:38:41 2019 removing 8202903 relations and 6202903 ideals in 2000000 cliques
  63. Wed Jan 9 22:38:44 2019 commencing in-memory singleton removal
  64. Wed Jan 9 22:38:48 2019 begin with 66991749 relations and 66149657 unique ideals
  65. Wed Jan 9 22:39:32 2019 reduce to 66328233 relations and 59266915 ideals in 9 passes
  66. Wed Jan 9 22:39:32 2019 max relations containing the same ideal: 164
  67. Wed Jan 9 22:40:00 2019 removing 7750832 relations and 5750832 ideals in 2000000 cliques
  68. Wed Jan 9 22:40:02 2019 commencing in-memory singleton removal
  69. Wed Jan 9 22:40:06 2019 begin with 58577401 relations and 59266915 unique ideals
  70. Wed Jan 9 22:40:40 2019 reduce to 57925685 relations and 52846941 ideals in 8 passes
  71. Wed Jan 9 22:40:40 2019 max relations containing the same ideal: 150
  72. Wed Jan 9 22:41:05 2019 removing 7468671 relations and 5468671 ideals in 2000000 cliques
  73. Wed Jan 9 22:41:07 2019 commencing in-memory singleton removal
  74. Wed Jan 9 22:41:10 2019 begin with 50457014 relations and 52846941 unique ideals
  75. Wed Jan 9 22:41:43 2019 reduce to 49779218 relations and 46680117 ideals in 9 passes
  76. Wed Jan 9 22:41:43 2019 max relations containing the same ideal: 134
  77. Wed Jan 9 22:42:04 2019 removing 7282261 relations and 5282262 ideals in 2000000 cliques
  78. Wed Jan 9 22:42:05 2019 commencing in-memory singleton removal
  79. Wed Jan 9 22:42:08 2019 begin with 42496957 relations and 46680117 unique ideals
  80. Wed Jan 9 22:42:36 2019 reduce to 41746491 relations and 40621283 ideals in 9 passes
  81. Wed Jan 9 22:42:36 2019 max relations containing the same ideal: 123
  82. Wed Jan 9 22:42:53 2019 removing 2564542 relations and 2019408 ideals in 545134 cliques
  83. Wed Jan 9 22:42:55 2019 commencing in-memory singleton removal
  84. Wed Jan 9 22:42:57 2019 begin with 39181949 relations and 40621283 unique ideals
  85. Wed Jan 9 22:43:19 2019 reduce to 39079186 relations and 38497902 ideals in 8 passes
  86. Wed Jan 9 22:43:19 2019 max relations containing the same ideal: 117
  87. Wed Jan 9 22:43:40 2019 relations with 0 large ideals: 19033
  88. Wed Jan 9 22:43:40 2019 relations with 1 large ideals: 4752
  89. Wed Jan 9 22:43:40 2019 relations with 2 large ideals: 66796
  90. Wed Jan 9 22:43:40 2019 relations with 3 large ideals: 528677
  91. Wed Jan 9 22:43:40 2019 relations with 4 large ideals: 2283682
  92. Wed Jan 9 22:43:40 2019 relations with 5 large ideals: 5943523
  93. Wed Jan 9 22:43:40 2019 relations with 6 large ideals: 9681354
  94. Wed Jan 9 22:43:40 2019 relations with 7+ large ideals: 20551369
  95. Wed Jan 9 22:43:40 2019 commencing 2-way merge
  96. Wed Jan 9 22:44:03 2019 reduce to 25461352 relation sets and 24880068 unique ideals
  97. Wed Jan 9 22:44:03 2019 commencing full merge
  98. Wed Jan 9 22:53:19 2019 memory use: 3289.5 MB
  99. Wed Jan 9 22:53:24 2019 found 11672995 cycles, need 11648268
  100. Wed Jan 9 22:53:25 2019 weight of 11648268 cycles is about 1340140131 (115.05/cycle)
  101. Wed Jan 9 22:53:25 2019 distribution of cycle lengths:
  102. Wed Jan 9 22:53:25 2019 1 relations: 566310
  103. Wed Jan 9 22:53:25 2019 2 relations: 773539
  104. Wed Jan 9 22:53:25 2019 3 relations: 890293
  105. Wed Jan 9 22:53:25 2019 4 relations: 904125
  106. Wed Jan 9 22:53:25 2019 5 relations: 909213
  107. Wed Jan 9 22:53:25 2019 6 relations: 881133
  108. Wed Jan 9 22:53:25 2019 7 relations: 845799
  109. Wed Jan 9 22:53:25 2019 8 relations: 798356
  110. Wed Jan 9 22:53:25 2019 9 relations: 744353
  111. Wed Jan 9 22:53:25 2019 10+ relations: 4335147
  112. Wed Jan 9 22:53:25 2019 heaviest cycle: 28 relations
  113. Wed Jan 9 22:53:29 2019 commencing cycle optimization
  114. Wed Jan 9 22:53:54 2019 start with 98875051 relations
  115. Wed Jan 9 22:58:07 2019 pruned 4170387 relations
  116. Wed Jan 9 22:58:07 2019 memory use: 2648.0 MB
  117. Wed Jan 9 22:58:07 2019 distribution of cycle lengths:
  118. Wed Jan 9 22:58:07 2019 1 relations: 566310
  119. Wed Jan 9 22:58:07 2019 2 relations: 792397
  120. Wed Jan 9 22:58:07 2019 3 relations: 927410
  121. Wed Jan 9 22:58:07 2019 4 relations: 939985
  122. Wed Jan 9 22:58:07 2019 5 relations: 951611
  123. Wed Jan 9 22:58:07 2019 6 relations: 918887
  124. Wed Jan 9 22:58:07 2019 7 relations: 884523
  125. Wed Jan 9 22:58:07 2019 8 relations: 829351
  126. Wed Jan 9 22:58:07 2019 9 relations: 771030
  127. Wed Jan 9 22:58:07 2019 10+ relations: 4066764
  128. Wed Jan 9 22:58:07 2019 heaviest cycle: 28 relations
  129. Wed Jan 9 22:58:33 2019 RelProcTime: 4792
  130. Wed Jan 9 22:58:34 2019
  131. Wed Jan 9 22:58:34 2019 commencing linear algebra
  132. Wed Jan 9 22:58:36 2019 read 11648268 cycles
  133. Wed Jan 9 22:59:00 2019 cycles contain 38743005 unique relations
  134. Wed Jan 9 23:03:19 2019 read 38743005 relations
  135. Wed Jan 9 23:04:38 2019 using 20 quadratic characters above 4294917295
  136. Wed Jan 9 23:06:55 2019 building initial matrix
  137. Wed Jan 9 23:13:32 2019 memory use: 5137.7 MB
  138. Wed Jan 9 23:13:43 2019 read 11648268 cycles
  139. Wed Jan 9 23:13:44 2019 matrix is 11648091 x 11648268 (5313.9 MB) with weight 1526963030 (131.09/col)
  140. Wed Jan 9 23:13:44 2019 sparse part has weight 1264864301 (108.59/col)
  141. Wed Jan 9 23:15:40 2019 filtering completed in 2 passes
  142. Wed Jan 9 23:15:42 2019 matrix is 11647926 x 11648103 (5313.8 MB) with weight 1526957776 (131.09/col)
  143. Wed Jan 9 23:15:42 2019 sparse part has weight 1264862713 (108.59/col)
  144. Wed Jan 9 23:16:21 2019 matrix starts at (0, 0)
  145. Wed Jan 9 23:16:22 2019 matrix is 11647926 x 11648103 (5313.8 MB) with weight 1526957776 (131.09/col)
  146. Wed Jan 9 23:16:22 2019 sparse part has weight 1264862713 (108.59/col)
  147. Wed Jan 9 23:16:22 2019 saving the first 48 matrix rows for later
  148. Wed Jan 9 23:16:23 2019 matrix includes 64 packed rows
  149. Wed Jan 9 23:16:24 2019 matrix is 11647878 x 11648103 (5085.1 MB) with weight 1306135591 (112.13/col)
  150. Wed Jan 9 23:16:24 2019 sparse part has weight 1216541535 (104.44/col)
  151. Wed Jan 9 23:16:24 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  152. Wed Jan 9 23:17:22 2019 commencing Lanczos iteration (8 threads)
  153. Wed Jan 9 23:17:22 2019 memory use: 4291.3 MB
  154. Wed Jan 9 23:17:45 2019 linear algebra at 0.0%, ETA 46h47m
  155. Wed Jan 9 23:17:53 2019 checkpointing every 250000 dimensions
  156. Fri Jan 11 22:50:42 2019 lanczos halted after 184198 iterations (dim = 11647878)
  157. Fri Jan 11 22:50:50 2019 recovered 36 nontrivial dependencies
  158. Fri Jan 11 22:50:53 2019 BLanczosTime: 172339
  159. Fri Jan 11 22:50:53 2019
  160. Fri Jan 11 22:50:53 2019 commencing square root phase
  161. Fri Jan 11 22:50:53 2019 handling dependencies 1 to 64
  162. Fri Jan 11 22:50:53 2019 reading relations for dependency 1
  163. Fri Jan 11 22:50:55 2019 read 5824567 cycles
  164. Fri Jan 11 22:51:06 2019 cycles contain 19370646 unique relations
  165. Fri Jan 11 22:54:15 2019 read 19370646 relations
  166. Fri Jan 11 22:55:37 2019 multiplying 19370646 relations
  167. Fri Jan 11 23:07:50 2019 multiply complete, coefficients have about 591.05 million bits
  168. Fri Jan 11 23:07:51 2019 initial square root is modulo 200779
  169. Fri Jan 11 23:20:17 2019 sqrtTime: 1764
  170. Fri Jan 11 23:20:17 2019 p62 factor: 14384892402180617697664713350697193700546688296577657478103057
  171. Fri Jan 11 23:20:17 2019 p184 factor: 5715873287293972930540655439556055154243178707052441638745720677918326542664617737973698749189696011388312932365520345560802203639112907841467501387545500654885411548619625694897179039
  172. Fri Jan 11 23:20:17 2019 elapsed time 49:41:39
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