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Feb 9th, 2019
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  1. Wed Feb 6 16:23:17 2019 Msieve v. 1.52 (SVN exported)
  2. Wed Feb 6 16:23:17 2019 random seeds: aa646196 88aceed9
  3. Wed Feb 6 16:23:17 2019 factoring 1400346455485876115498541984149691646485130424967094207117508186611405364289859119478792098900762408536150347706885567791666636779320579329847844719134149603854717813070628669228255199154860891087837561211570386001029933 (220 digits)
  4. Wed Feb 6 16:23:20 2019 searching for 15-digit factors
  5. Wed Feb 6 16:23:22 2019 commencing number field sieve (220-digit input)
  6. Wed Feb 6 16:23:22 2019 R0: 5243338316756303634461458718861951455543
  7. Wed Feb 6 16:23:22 2019 R1: -19807040628566084398385987584
  8. Wed Feb 6 16:23:22 2019 A0: 1
  9. Wed Feb 6 16:23:22 2019 A1: 1
  10. Wed Feb 6 16:23:22 2019 A2: 1
  11. Wed Feb 6 16:23:22 2019 A3: 1
  12. Wed Feb 6 16:23:22 2019 A4: 1
  13. Wed Feb 6 16:23:22 2019 A5: 1
  14. Wed Feb 6 16:23:22 2019 A6: 1
  15. Wed Feb 6 16:23:22 2019 skew 1.00, size 8.718e-12, alpha 2.428, combined = 5.771e-13 rroots = 0
  16. Wed Feb 6 16:23:22 2019
  17. Wed Feb 6 16:23:22 2019 commencing relation filtering
  18. Wed Feb 6 16:23:22 2019 setting target matrix density to 120.0
  19. Wed Feb 6 16:23:22 2019 estimated available RAM is 7821.9 MB
  20. Wed Feb 6 16:23:22 2019 commencing duplicate removal, pass 1
  21. Wed Feb 6 16:59:49 2019 skipped 19 relations with b > 2^32
  22. Wed Feb 6 16:59:49 2019 found 31097911 hash collisions in 139643426 relations
  23. Wed Feb 6 16:59:49 2019 commencing duplicate removal, pass 2
  24. Wed Feb 6 17:06:14 2019 found 31742071 duplicates and 107901355 unique relations
  25. Wed Feb 6 17:06:14 2019 memory use: 724.8 MB
  26. Wed Feb 6 17:06:14 2019 reading ideals above 127074304
  27. Wed Feb 6 17:06:14 2019 commencing singleton removal, initial pass
  28. Wed Feb 6 17:37:23 2019 memory use: 1506.0 MB
  29. Wed Feb 6 17:37:24 2019 reading all ideals from disk
  30. Wed Feb 6 17:37:34 2019 memory use: 1759.0 MB
  31. Wed Feb 6 17:37:54 2019 commencing in-memory singleton removal
  32. Wed Feb 6 17:38:11 2019 begin with 107901355 relations and 79449539 unique ideals
  33. Wed Feb 6 17:41:13 2019 reduce to 76979895 relations and 45846940 ideals in 12 passes
  34. Wed Feb 6 17:41:13 2019 max relations containing the same ideal: 31
  35. Wed Feb 6 17:41:30 2019 reading ideals above 720000
  36. Wed Feb 6 17:41:30 2019 commencing singleton removal, initial pass
  37. Wed Feb 6 18:09:57 2019 memory use: 1506.0 MB
  38. Wed Feb 6 18:09:57 2019 reading all ideals from disk
  39. Wed Feb 6 18:10:18 2019 memory use: 2950.6 MB
  40. Wed Feb 6 18:10:56 2019 keeping 59880344 ideals with weight <= 200, target excess is 407317
  41. Wed Feb 6 18:11:31 2019 commencing in-memory singleton removal
  42. Wed Feb 6 18:12:02 2019 begin with 76979896 relations and 59880344 unique ideals
  43. Wed Feb 6 18:15:31 2019 reduce to 76973852 relations and 59874264 ideals in 6 passes
  44. Wed Feb 6 18:15:31 2019 max relations containing the same ideal: 200
  45. Wed Feb 6 18:17:39 2019 removing 8095214 relations and 6095214 ideals in 2000000 cliques
  46. Wed Feb 6 18:17:44 2019 commencing in-memory singleton removal
  47. Wed Feb 6 18:18:11 2019 begin with 68878638 relations and 59874264 unique ideals
  48. Wed Feb 6 18:22:30 2019 reduce to 68198559 relations and 53077147 ideals in 8 passes
  49. Wed Feb 6 18:22:30 2019 max relations containing the same ideal: 194
  50. Wed Feb 6 18:24:27 2019 removing 6535623 relations and 4535623 ideals in 2000000 cliques
  51. Wed Feb 6 18:24:32 2019 commencing in-memory singleton removal
  52. Wed Feb 6 18:24:56 2019 begin with 61662936 relations and 53077147 unique ideals
  53. Wed Feb 6 18:28:35 2019 reduce to 61196780 relations and 48061585 ideals in 8 passes
  54. Wed Feb 6 18:28:35 2019 max relations containing the same ideal: 182
  55. Wed Feb 6 18:30:19 2019 removing 6050064 relations and 4050064 ideals in 2000000 cliques
  56. Wed Feb 6 18:30:24 2019 commencing in-memory singleton removal
  57. Wed Feb 6 18:30:44 2019 begin with 55146716 relations and 48061585 unique ideals
  58. Wed Feb 6 18:33:06 2019 reduce to 54733761 relations and 43585918 ideals in 6 passes
  59. Wed Feb 6 18:33:06 2019 max relations containing the same ideal: 170
  60. Wed Feb 6 18:34:35 2019 removing 5785812 relations and 3785812 ideals in 2000000 cliques
  61. Wed Feb 6 18:34:40 2019 commencing in-memory singleton removal
  62. Wed Feb 6 18:34:56 2019 begin with 48947949 relations and 43585918 unique ideals
  63. Wed Feb 6 18:37:20 2019 reduce to 48554279 relations and 39393398 ideals in 7 passes
  64. Wed Feb 6 18:37:20 2019 max relations containing the same ideal: 158
  65. Wed Feb 6 18:38:40 2019 removing 5614267 relations and 3614267 ideals in 2000000 cliques
  66. Wed Feb 6 18:38:44 2019 commencing in-memory singleton removal
  67. Wed Feb 6 18:39:00 2019 begin with 42940012 relations and 39393398 unique ideals
  68. Wed Feb 6 18:41:05 2019 reduce to 42545296 relations and 35370090 ideals in 7 passes
  69. Wed Feb 6 18:41:05 2019 max relations containing the same ideal: 143
  70. Wed Feb 6 18:42:13 2019 removing 5497081 relations and 3497081 ideals in 2000000 cliques
  71. Wed Feb 6 18:42:18 2019 commencing in-memory singleton removal
  72. Wed Feb 6 18:42:31 2019 begin with 37048215 relations and 35370090 unique ideals
  73. Wed Feb 6 18:44:12 2019 reduce to 36630414 relations and 31438367 ideals in 7 passes
  74. Wed Feb 6 18:44:12 2019 max relations containing the same ideal: 129
  75. Wed Feb 6 18:45:14 2019 removing 5412056 relations and 3412056 ideals in 2000000 cliques
  76. Wed Feb 6 18:45:18 2019 commencing in-memory singleton removal
  77. Wed Feb 6 18:45:31 2019 begin with 31218358 relations and 31438367 unique ideals
  78. Wed Feb 6 18:47:08 2019 reduce to 30749149 relations and 27535596 ideals in 8 passes
  79. Wed Feb 6 18:47:08 2019 max relations containing the same ideal: 113
  80. Wed Feb 6 18:47:57 2019 removing 5374690 relations and 3374690 ideals in 2000000 cliques
  81. Wed Feb 6 18:48:00 2019 commencing in-memory singleton removal
  82. Wed Feb 6 18:48:08 2019 begin with 25374459 relations and 27535596 unique ideals
  83. Wed Feb 6 18:49:09 2019 reduce to 24798581 relations and 23554231 ideals in 7 passes
  84. Wed Feb 6 18:49:09 2019 max relations containing the same ideal: 98
  85. Wed Feb 6 18:49:43 2019 removing 2466466 relations and 1694604 ideals in 771862 cliques
  86. Wed Feb 6 18:49:45 2019 commencing in-memory singleton removal
  87. Wed Feb 6 18:49:52 2019 begin with 22332115 relations and 23554231 unique ideals
  88. Wed Feb 6 18:50:42 2019 reduce to 22134947 relations and 21656962 ideals in 8 passes
  89. Wed Feb 6 18:50:42 2019 max relations containing the same ideal: 92
  90. Wed Feb 6 18:51:20 2019 relations with 0 large ideals: 30772
  91. Wed Feb 6 18:51:20 2019 relations with 1 large ideals: 6066
  92. Wed Feb 6 18:51:20 2019 relations with 2 large ideals: 58698
  93. Wed Feb 6 18:51:20 2019 relations with 3 large ideals: 418880
  94. Wed Feb 6 18:51:20 2019 relations with 4 large ideals: 1630904
  95. Wed Feb 6 18:51:20 2019 relations with 5 large ideals: 3825899
  96. Wed Feb 6 18:51:20 2019 relations with 6 large ideals: 5619729
  97. Wed Feb 6 18:51:20 2019 relations with 7+ large ideals: 10543999
  98. Wed Feb 6 18:51:20 2019 commencing 2-way merge
  99. Wed Feb 6 18:52:03 2019 reduce to 15791257 relation sets and 15313271 unique ideals
  100. Wed Feb 6 18:52:03 2019 commencing full merge
  101. Wed Feb 6 19:10:05 2019 memory use: 2052.9 MB
  102. Wed Feb 6 19:10:08 2019 found 6962503 cycles, need 6953471
  103. Wed Feb 6 19:10:13 2019 weight of 6953471 cycles is about 834631322 (120.03/cycle)
  104. Wed Feb 6 19:10:13 2019 distribution of cycle lengths:
  105. Wed Feb 6 19:10:13 2019 1 relations: 204875
  106. Wed Feb 6 19:10:13 2019 2 relations: 336775
  107. Wed Feb 6 19:10:13 2019 3 relations: 441010
  108. Wed Feb 6 19:10:13 2019 4 relations: 491028
  109. Wed Feb 6 19:10:13 2019 5 relations: 522966
  110. Wed Feb 6 19:10:13 2019 6 relations: 533807
  111. Wed Feb 6 19:10:13 2019 7 relations: 529509
  112. Wed Feb 6 19:10:13 2019 8 relations: 511000
  113. Wed Feb 6 19:10:13 2019 9 relations: 479275
  114. Wed Feb 6 19:10:13 2019 10+ relations: 2903226
  115. Wed Feb 6 19:10:13 2019 heaviest cycle: 28 relations
  116. Wed Feb 6 19:10:17 2019 commencing cycle optimization
  117. Wed Feb 6 19:10:53 2019 start with 63990317 relations
  118. Wed Feb 6 19:17:33 2019 pruned 3563919 relations
  119. Wed Feb 6 19:17:33 2019 memory use: 1583.3 MB
  120. Wed Feb 6 19:17:33 2019 distribution of cycle lengths:
  121. Wed Feb 6 19:17:33 2019 1 relations: 204875
  122. Wed Feb 6 19:17:33 2019 2 relations: 346225
  123. Wed Feb 6 19:17:33 2019 3 relations: 461779
  124. Wed Feb 6 19:17:33 2019 4 relations: 515402
  125. Wed Feb 6 19:17:33 2019 5 relations: 556601
  126. Wed Feb 6 19:17:33 2019 6 relations: 568111
  127. Wed Feb 6 19:17:33 2019 7 relations: 565363
  128. Wed Feb 6 19:17:33 2019 8 relations: 543545
  129. Wed Feb 6 19:17:33 2019 9 relations: 508314
  130. Wed Feb 6 19:17:33 2019 10+ relations: 2683256
  131. Wed Feb 6 19:17:33 2019 heaviest cycle: 28 relations
  132. Wed Feb 6 19:17:59 2019 RelProcTime: 10477
  133. Wed Feb 6 19:17:59 2019
  134. Wed Feb 6 19:17:59 2019 commencing linear algebra
  135. Wed Feb 6 19:18:06 2019 read 6953471 cycles
  136. Wed Feb 6 19:18:35 2019 cycles contain 21894535 unique relations
  137. Wed Feb 6 19:25:36 2019 read 21894535 relations
  138. Wed Feb 6 19:27:09 2019 using 20 quadratic characters above 1073741468
  139. Wed Feb 6 19:29:33 2019 building initial matrix
  140. Wed Feb 6 19:38:28 2019 memory use: 2769.1 MB
  141. Wed Feb 6 19:38:39 2019 read 6953471 cycles
  142. Wed Feb 6 19:38:41 2019 matrix is 6953294 x 6953471 (3227.8 MB) with weight 917641803 (131.97/col)
  143. Wed Feb 6 19:38:41 2019 sparse part has weight 769671902 (110.69/col)
  144. Wed Feb 6 19:43:32 2019 filtering completed in 2 passes
  145. Wed Feb 6 19:43:36 2019 matrix is 6953259 x 6953436 (3227.8 MB) with weight 917640587 (131.97/col)
  146. Wed Feb 6 19:43:36 2019 sparse part has weight 769671482 (110.69/col)
  147. Wed Feb 6 19:44:49 2019 matrix starts at (0, 0)
  148. Wed Feb 6 19:44:52 2019 matrix is 6953259 x 6953436 (3227.8 MB) with weight 917640587 (131.97/col)
  149. Wed Feb 6 19:44:52 2019 sparse part has weight 769671482 (110.69/col)
  150. Wed Feb 6 19:44:52 2019 saving the first 48 matrix rows for later
  151. Wed Feb 6 19:44:54 2019 matrix includes 64 packed rows
  152. Wed Feb 6 19:44:56 2019 matrix is 6953211 x 6953436 (3084.8 MB) with weight 791950503 (113.89/col)
  153. Wed Feb 6 19:44:56 2019 sparse part has weight 739138236 (106.30/col)
  154. Wed Feb 6 19:44:57 2019 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  155. Wed Feb 6 19:45:55 2019 commencing Lanczos iteration (6 threads)
  156. Wed Feb 6 19:45:55 2019 memory use: 2617.1 MB
  157. Wed Feb 6 19:46:51 2019 linear algebra at 0.0%, ETA 67h25m
  158. Wed Feb 6 19:47:09 2019 checkpointing every 110000 dimensions
  159. Sat Feb 9 18:00:48 2019 lanczos halted after 109957 iterations (dim = 6953210)
  160. Sat Feb 9 18:01:00 2019 recovered 38 nontrivial dependencies
  161. Sat Feb 9 18:01:01 2019 BLanczosTime: 254582
  162. Sat Feb 9 18:01:01 2019
  163. Sat Feb 9 18:01:01 2019 commencing square root phase
  164. Sat Feb 9 18:01:01 2019 handling dependencies 1 to 64
  165. Sat Feb 9 18:01:01 2019 reading relations for dependency 1
  166. Sat Feb 9 18:01:03 2019 read 3477487 cycles
  167. Sat Feb 9 18:01:17 2019 cycles contain 10949690 unique relations
  168. Sat Feb 9 18:06:34 2019 read 10949690 relations
  169. Sat Feb 9 18:08:14 2019 multiplying 10949690 relations
  170. Sat Feb 9 18:21:17 2019 multiply complete, coefficients have about 271.91 million bits
  171. Sat Feb 9 18:21:20 2019 initial square root is modulo 75689
  172. Sat Feb 9 18:35:57 2019 GCD is N, no factor found
  173. Sat Feb 9 18:35:57 2019 reading relations for dependency 2
  174. Sat Feb 9 18:35:59 2019 read 3477215 cycles
  175. Sat Feb 9 18:36:13 2019 cycles contain 10948112 unique relations
  176. Sat Feb 9 18:41:27 2019 read 10948112 relations
  177. Sat Feb 9 18:43:05 2019 multiplying 10948112 relations
  178. Sat Feb 9 18:56:01 2019 multiply complete, coefficients have about 271.85 million bits
  179. Sat Feb 9 18:56:03 2019 initial square root is modulo 75521
  180. Sat Feb 9 19:10:34 2019 sqrtTime: 4173
  181. Sat Feb 9 19:10:34 2019 prp74 factor: 44825513073022730195691549735524279178930811181623023896879379717257738117
  182. Sat Feb 9 19:10:34 2019 prp146 factor: 31239942601541452868086308487115954748303751231605641243100323353586330013404312692522833397898379861307671460912494819382913981569940770241376649
  183. Sat Feb 9 19:10:34 2019 elapsed time 74:47:17
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