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Feb 1st, 2021
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  1. Sun Jan 31 17:31:44 2021
  2. Sun Jan 31 17:31:44 2021 Msieve v. 1.54 (SVN 1025)
  3. Sun Jan 31 17:31:44 2021 random seeds: 9ee3582d 59211f45
  4. Sun Jan 31 17:31:44 2021 factoring 70923513335415911523257332680186736993580975995677236979976849837942046263703017986964037697331184514239054230636400903317879146988111207545047639092602322858345687706846027208317066230796900167930997 (200 digits)
  5. Sun Jan 31 17:31:45 2021 searching for 15-digit factors
  6. Sun Jan 31 17:31:46 2021 commencing number field sieve (200-digit input)
  7. Sun Jan 31 17:31:46 2021 R0: 7385544613883839266230041883493354002
  8. Sun Jan 31 17:31:46 2021 R1: -2717635850124854249
  9. Sun Jan 31 17:31:46 2021 A0: -1
  10. Sun Jan 31 17:31:46 2021 A1: 3
  11. Sun Jan 31 17:31:46 2021 A2: 6
  12. Sun Jan 31 17:31:46 2021 A3: -4
  13. Sun Jan 31 17:31:46 2021 A4: -5
  14. Sun Jan 31 17:31:46 2021 A5: 1
  15. Sun Jan 31 17:31:46 2021 A6: 1
  16. Sun Jan 31 17:31:46 2021 skew 1.00, size 6.591e-11, alpha 3.126, combined = 2.442e-12 rroots = 6
  17. Sun Jan 31 17:31:46 2021
  18. Sun Jan 31 17:31:46 2021 commencing relation filtering
  19. Sun Jan 31 17:31:46 2021 setting target matrix density to 108.0
  20. Sun Jan 31 17:31:46 2021 estimated available RAM is 15984.6 MB
  21. Sun Jan 31 17:31:46 2021 commencing duplicate removal, pass 1
  22. Sun Jan 31 17:40:26 2021 skipped 1 relations with b > 2^32
  23. Sun Jan 31 17:40:26 2021 skipped 1 relations with composite factors
  24. Sun Jan 31 17:40:26 2021 found 2579365 hash collisions in 54467718 relations
  25. Sun Jan 31 17:40:26 2021 commencing duplicate removal, pass 2
  26. Sun Jan 31 17:40:41 2021 found 0 duplicates and 54467718 unique relations
  27. Sun Jan 31 17:40:41 2021 memory use: 189.2 MB
  28. Sun Jan 31 17:40:41 2021 reading ideals above 720000
  29. Sun Jan 31 17:40:41 2021 commencing singleton removal, initial pass
  30. Sun Jan 31 17:46:14 2021 memory use: 1378.0 MB
  31. Sun Jan 31 17:46:14 2021 reading all ideals from disk
  32. Sun Jan 31 17:46:15 2021 memory use: 1984.1 MB
  33. Sun Jan 31 17:46:18 2021 keeping 48886286 ideals with weight <= 200, target excess is 272530
  34. Sun Jan 31 17:46:21 2021 commencing in-memory singleton removal
  35. Sun Jan 31 17:46:23 2021 begin with 54467718 relations and 48886286 unique ideals
  36. Sun Jan 31 17:46:48 2021 reduce to 39296543 relations and 32440202 ideals in 11 passes
  37. Sun Jan 31 17:46:48 2021 max relations containing the same ideal: 169
  38. Sun Jan 31 17:46:58 2021 removing 4348207 relations and 3348207 ideals in 1000000 cliques
  39. Sun Jan 31 17:46:59 2021 commencing in-memory singleton removal
  40. Sun Jan 31 17:47:00 2021 begin with 34948336 relations and 32440202 unique ideals
  41. Sun Jan 31 17:47:17 2021 reduce to 34411544 relations and 28537286 ideals in 9 passes
  42. Sun Jan 31 17:47:17 2021 max relations containing the same ideal: 156
  43. Sun Jan 31 17:47:25 2021 removing 3599453 relations and 2599453 ideals in 1000000 cliques
  44. Sun Jan 31 17:47:26 2021 commencing in-memory singleton removal
  45. Sun Jan 31 17:47:28 2021 begin with 30812091 relations and 28537286 unique ideals
  46. Sun Jan 31 17:47:39 2021 reduce to 30466974 relations and 25581969 ideals in 7 passes
  47. Sun Jan 31 17:47:39 2021 max relations containing the same ideal: 145
  48. Sun Jan 31 17:47:47 2021 removing 3335455 relations and 2335455 ideals in 1000000 cliques
  49. Sun Jan 31 17:47:48 2021 commencing in-memory singleton removal
  50. Sun Jan 31 17:47:49 2021 begin with 27131519 relations and 25581969 unique ideals
  51. Sun Jan 31 17:48:00 2021 reduce to 26809827 relations and 22914550 ideals in 8 passes
  52. Sun Jan 31 17:48:00 2021 max relations containing the same ideal: 135
  53. Sun Jan 31 17:48:07 2021 removing 3233518 relations and 2233518 ideals in 1000000 cliques
  54. Sun Jan 31 17:48:08 2021 commencing in-memory singleton removal
  55. Sun Jan 31 17:48:09 2021 begin with 23576309 relations and 22914550 unique ideals
  56. Sun Jan 31 17:48:19 2021 reduce to 23244919 relations and 20338147 ideals in 8 passes
  57. Sun Jan 31 17:48:19 2021 max relations containing the same ideal: 122
  58. Sun Jan 31 17:48:25 2021 removing 3198603 relations and 2198603 ideals in 1000000 cliques
  59. Sun Jan 31 17:48:26 2021 commencing in-memory singleton removal
  60. Sun Jan 31 17:48:27 2021 begin with 20046316 relations and 20338147 unique ideals
  61. Sun Jan 31 17:48:35 2021 reduce to 19681716 relations and 17760446 ideals in 8 passes
  62. Sun Jan 31 17:48:35 2021 max relations containing the same ideal: 107
  63. Sun Jan 31 17:48:40 2021 removing 3205399 relations and 2205399 ideals in 1000000 cliques
  64. Sun Jan 31 17:48:41 2021 commencing in-memory singleton removal
  65. Sun Jan 31 17:48:42 2021 begin with 16476317 relations and 17760446 unique ideals
  66. Sun Jan 31 17:48:48 2021 reduce to 16046226 relations and 15104910 ideals in 8 passes
  67. Sun Jan 31 17:48:48 2021 max relations containing the same ideal: 91
  68. Sun Jan 31 17:48:53 2021 removing 2243532 relations and 1618351 ideals in 625181 cliques
  69. Sun Jan 31 17:48:53 2021 commencing in-memory singleton removal
  70. Sun Jan 31 17:48:54 2021 begin with 13802694 relations and 15104910 unique ideals
  71. Sun Jan 31 17:49:00 2021 reduce to 13539552 relations and 13213945 ideals in 9 passes
  72. Sun Jan 31 17:49:00 2021 max relations containing the same ideal: 83
  73. Sun Jan 31 17:49:04 2021 removing 69830 relations and 60358 ideals in 9472 cliques
  74. Sun Jan 31 17:49:04 2021 commencing in-memory singleton removal
  75. Sun Jan 31 17:49:05 2021 begin with 13469722 relations and 13213945 unique ideals
  76. Sun Jan 31 17:49:08 2021 reduce to 13469460 relations and 13153325 ideals in 5 passes
  77. Sun Jan 31 17:49:08 2021 max relations containing the same ideal: 83
  78. Sun Jan 31 17:49:10 2021 relations with 0 large ideals: 20885
  79. Sun Jan 31 17:49:10 2021 relations with 1 large ideals: 3314
  80. Sun Jan 31 17:49:10 2021 relations with 2 large ideals: 38021
  81. Sun Jan 31 17:49:10 2021 relations with 3 large ideals: 269143
  82. Sun Jan 31 17:49:10 2021 relations with 4 large ideals: 1046314
  83. Sun Jan 31 17:49:10 2021 relations with 5 large ideals: 2428667
  84. Sun Jan 31 17:49:10 2021 relations with 6 large ideals: 3509777
  85. Sun Jan 31 17:49:10 2021 relations with 7+ large ideals: 6153339
  86. Sun Jan 31 17:49:10 2021 commencing 2-way merge
  87. Sun Jan 31 17:49:15 2021 reduce to 8932964 relation sets and 8616829 unique ideals
  88. Sun Jan 31 17:49:15 2021 commencing full merge
  89. Sun Jan 31 17:51:47 2021 memory use: 1196.0 MB
  90. Sun Jan 31 17:51:47 2021 found 4043875 cycles, need 4041029
  91. Sun Jan 31 17:51:48 2021 weight of 4041029 cycles is about 436973561 (108.13/cycle)
  92. Sun Jan 31 17:51:48 2021 distribution of cycle lengths:
  93. Sun Jan 31 17:51:48 2021 1 relations: 256451
  94. Sun Jan 31 17:51:48 2021 2 relations: 286501
  95. Sun Jan 31 17:51:48 2021 3 relations: 304561
  96. Sun Jan 31 17:51:48 2021 4 relations: 300359
  97. Sun Jan 31 17:51:48 2021 5 relations: 298442
  98. Sun Jan 31 17:51:48 2021 6 relations: 289426
  99. Sun Jan 31 17:51:48 2021 7 relations: 278558
  100. Sun Jan 31 17:51:48 2021 8 relations: 261666
  101. Sun Jan 31 17:51:48 2021 9 relations: 243986
  102. Sun Jan 31 17:51:48 2021 10+ relations: 1521079
  103. Sun Jan 31 17:51:48 2021 heaviest cycle: 28 relations
  104. Sun Jan 31 17:51:49 2021 commencing cycle optimization
  105. Sun Jan 31 17:51:55 2021 start with 34711098 relations
  106. Sun Jan 31 17:52:50 2021 pruned 1594256 relations
  107. Sun Jan 31 17:52:50 2021 memory use: 912.8 MB
  108. Sun Jan 31 17:52:50 2021 distribution of cycle lengths:
  109. Sun Jan 31 17:52:50 2021 1 relations: 256451
  110. Sun Jan 31 17:52:50 2021 2 relations: 292499
  111. Sun Jan 31 17:52:50 2021 3 relations: 316091
  112. Sun Jan 31 17:52:50 2021 4 relations: 312350
  113. Sun Jan 31 17:52:50 2021 5 relations: 312611
  114. Sun Jan 31 17:52:50 2021 6 relations: 303072
  115. Sun Jan 31 17:52:50 2021 7 relations: 292310
  116. Sun Jan 31 17:52:50 2021 8 relations: 274080
  117. Sun Jan 31 17:52:50 2021 9 relations: 254796
  118. Sun Jan 31 17:52:50 2021 10+ relations: 1426769
  119. Sun Jan 31 17:52:50 2021 heaviest cycle: 28 relations
  120. Sun Jan 31 17:52:56 2021 RelProcTime: 1270
  121. Sun Jan 31 17:52:56 2021
  122. Sun Jan 31 17:52:56 2021 commencing linear algebra
  123. Sun Jan 31 17:52:56 2021 read 4041029 cycles
  124. Sun Jan 31 17:53:02 2021 cycles contain 13286179 unique relations
  125. Sun Jan 31 17:54:01 2021 read 13286179 relations
  126. Sun Jan 31 17:54:14 2021 using 20 quadratic characters above 4294917295
  127. Sun Jan 31 17:54:59 2021 building initial matrix
  128. Sun Jan 31 17:56:41 2021 memory use: 1597.1 MB
  129. Sun Jan 31 17:56:43 2021 read 4041029 cycles
  130. Sun Jan 31 17:56:43 2021 matrix is 4040852 x 4041029 (1710.9 MB) with weight 485500657 (120.14/col)
  131. Sun Jan 31 17:56:43 2021 sparse part has weight 408102301 (100.99/col)
  132. Sun Jan 31 17:57:13 2021 filtering completed in 2 passes
  133. Sun Jan 31 17:57:14 2021 matrix is 4040798 x 4040975 (1710.9 MB) with weight 485499181 (120.14/col)
  134. Sun Jan 31 17:57:14 2021 sparse part has weight 408101889 (100.99/col)
  135. Sun Jan 31 17:57:20 2021 matrix starts at (0, 0)
  136. Sun Jan 31 17:57:21 2021 matrix is 4040798 x 4040975 (1710.9 MB) with weight 485499181 (120.14/col)
  137. Sun Jan 31 17:57:21 2021 sparse part has weight 408101889 (100.99/col)
  138. Sun Jan 31 17:57:21 2021 saving the first 48 matrix rows for later
  139. Sun Jan 31 17:57:21 2021 matrix includes 64 packed rows
  140. Sun Jan 31 17:57:22 2021 matrix is 4040750 x 4040975 (1640.8 MB) with weight 415874986 (102.91/col)
  141. Sun Jan 31 17:57:22 2021 sparse part has weight 389723019 (96.44/col)
  142. Sun Jan 31 17:57:22 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  143. Sun Jan 31 17:57:33 2021 commencing Lanczos iteration (3 threads)
  144. Sun Jan 31 17:57:33 2021 memory use: 1566.4 MB
  145. Sun Jan 31 17:57:47 2021 linear algebra at 0.0%, ETA 10h20m
  146. Sun Jan 31 17:57:52 2021 checkpointing every 390000 dimensions
  147. Mon Feb 1 03:19:48 2021 lanczos halted after 63901 iterations (dim = 4040748)
  148. Mon Feb 1 03:19:53 2021 recovered 34 nontrivial dependencies
  149. Mon Feb 1 03:19:53 2021 BLanczosTime: 34017
  150. Mon Feb 1 03:19:53 2021
  151. Mon Feb 1 03:19:53 2021 commencing square root phase
  152. Mon Feb 1 03:19:53 2021 handling dependencies 1 to 64
  153. Mon Feb 1 03:19:53 2021 reading relations for dependency 1
  154. Mon Feb 1 03:19:54 2021 read 2021707 cycles
  155. Mon Feb 1 03:19:56 2021 cycles contain 6646998 unique relations
  156. Mon Feb 1 03:20:28 2021 read 6646998 relations
  157. Mon Feb 1 03:20:46 2021 multiplying 6646998 relations
  158. Mon Feb 1 03:23:43 2021 multiply complete, coefficients have about 158.42 million bits
  159. Mon Feb 1 03:23:44 2021 initial square root is modulo 484543
  160. Mon Feb 1 03:27:00 2021 GCD is N, no factor found
  161. Mon Feb 1 03:27:00 2021 reading relations for dependency 2
  162. Mon Feb 1 03:27:01 2021 read 2020198 cycles
  163. Mon Feb 1 03:27:03 2021 cycles contain 6643626 unique relations
  164. Mon Feb 1 03:27:35 2021 read 6643626 relations
  165. Mon Feb 1 03:27:53 2021 multiplying 6643626 relations
  166. Mon Feb 1 03:30:49 2021 multiply complete, coefficients have about 158.34 million bits
  167. Mon Feb 1 03:30:50 2021 initial square root is modulo 481379
  168. Mon Feb 1 03:34:07 2021 sqrtTime: 854
  169. Mon Feb 1 03:34:07 2021 p81 factor: 270899268818168681214419915735981757220200111362109451244758965592365103825052159
  170. Mon Feb 1 03:34:07 2021 p120 factor: 261807695697476208768002517722215032830431491877760417844330710276566438694504711767388527592925570651866811689502630283
  171. Mon Feb 1 03:34:07 2021 elapsed time 10:02:23
  172.  
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