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122385589_29m1

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  1. Fri Apr  5 15:31:53 2019  
  2. Fri Apr  5 15:31:53 2019  
  3. Fri Apr  5 15:31:53 2019  Msieve v. 1.54 (SVN 1025)
  4. Fri Apr  5 15:31:53 2019  random seeds: 51303410 7c9aab53
  5. Fri Apr  5 15:31:53 2019  factoring 28605392289090572604996108011698292444500808389084216743604055882121613921295913682375687635961830578922545206350830558470629706211547701926745311859526753037142395444719682177802659479384797253796205041395623030589247718748341 (227 digits)
  6. Fri Apr  5 15:31:54 2019  searching for 15-digit factors
  7. Fri Apr  5 15:31:54 2019  commencing number field sieve (227-digit input)
  8. Fri Apr  5 15:31:54 2019  R0: 27456894279573086367268995713657836086949
  9. Fri Apr  5 15:31:54 2019  R1: -1
  10. Fri Apr  5 15:31:54 2019  A0: -122385589
  11. Fri Apr  5 15:31:54 2019  A1: 0
  12. Fri Apr  5 15:31:54 2019  A2: 0
  13. Fri Apr  5 15:31:54 2019  A3: 0
  14. Fri Apr  5 15:31:54 2019  A4: 0
  15. Fri Apr  5 15:31:54 2019  A5: 0
  16. Fri Apr  5 15:31:54 2019  A6: 1
  17. Fri Apr  5 15:31:54 2019  skew 22.28, size 1.345e-12, alpha -0.020, combined = 1.540e-13 rroots = 2
  18. Fri Apr  5 15:31:54 2019  
  19. Fri Apr  5 15:31:54 2019  commencing relation filtering
  20. Fri Apr  5 15:31:54 2019  setting target matrix density to 112.0
  21. Fri Apr  5 15:31:54 2019  estimated available RAM is 16007.4 MB
  22. Fri Apr  5 15:31:54 2019  commencing duplicate removal, pass 1
  23. Fri Apr  5 15:44:48 2019  error -11 reading relation 114766970
  24. Fri Apr  5 15:48:54 2019  error -11 reading relation 151091161
  25. Fri Apr  5 15:50:24 2019  error -1 reading relation 164220679
  26. Fri Apr  5 15:50:39 2019  error -15 reading relation 166393996
  27. Fri Apr  5 15:50:51 2019  error -15 reading relation 168163402
  28. Fri Apr  5 15:50:57 2019  error -15 reading relation 168996210
  29. Fri Apr  5 15:52:43 2019  error -11 reading relation 184368765
  30. Fri Apr  5 15:53:15 2019  skipped 2 relations with b > 2^32
  31. Fri Apr  5 15:53:15 2019  skipped 10 relations with composite factors
  32. Fri Apr  5 15:53:15 2019  found 7770175 hash collisions in 188024906 relations
  33. Fri Apr  5 15:53:25 2019  commencing duplicate removal, pass 2
  34. Fri Apr  5 15:54:20 2019  found 0 duplicates and 188024906 unique relations
  35. Fri Apr  5 15:54:20 2019  memory use: 522.4 MB
  36. Fri Apr  5 15:54:20 2019  reading ideals above 129433600
  37. Fri Apr  5 15:54:20 2019  commencing singleton removal, initial pass
  38. Fri Apr  5 16:10:33 2019  memory use: 5512.0 MB
  39. Fri Apr  5 16:10:33 2019  reading all ideals from disk
  40. Fri Apr  5 16:10:41 2019  memory use: 3795.6 MB
  41. Fri Apr  5 16:10:48 2019  commencing in-memory singleton removal
  42. Fri Apr  5 16:10:56 2019  begin with 188024906 relations and 164514455 unique ideals
  43. Fri Apr  5 16:12:47 2019  reduce to 122340452 relations and 92272913 ideals in 18 passes
  44. Fri Apr  5 16:12:47 2019  max relations containing the same ideal: 35
  45. Fri Apr  5 16:12:53 2019  reading ideals above 720000
  46. Fri Apr  5 16:12:54 2019  commencing singleton removal, initial pass
  47. Fri Apr  5 16:26:16 2019  memory use: 2756.0 MB
  48. Fri Apr  5 16:26:16 2019  reading all ideals from disk
  49. Fri Apr  5 16:26:27 2019  memory use: 4898.2 MB
  50. Fri Apr  5 16:26:39 2019  keeping 106353626 ideals with weight <= 200, target excess is 614977
  51. Fri Apr  5 16:26:52 2019  commencing in-memory singleton removal
  52. Fri Apr  5 16:27:02 2019  begin with 122340452 relations and 106353626 unique ideals
  53. Fri Apr  5 16:28:04 2019  reduce to 122340279 relations and 106353453 ideals in 6 passes
  54. Fri Apr  5 16:28:04 2019  max relations containing the same ideal: 200
  55. Fri Apr  5 16:28:53 2019  removing 11764971 relations and 9764971 ideals in 2000000 cliques
  56. Fri Apr  5 16:28:56 2019  commencing in-memory singleton removal
  57. Fri Apr  5 16:29:05 2019  begin with 110575308 relations and 106353453 unique ideals
  58. Fri Apr  5 16:30:39 2019  reduce to 109627500 relations and 95620206 ideals in 10 passes
  59. Fri Apr  5 16:30:39 2019  max relations containing the same ideal: 195
  60. Fri Apr  5 16:31:23 2019  removing 9031715 relations and 7031715 ideals in 2000000 cliques
  61. Fri Apr  5 16:31:26 2019  commencing in-memory singleton removal
  62. Fri Apr  5 16:31:33 2019  begin with 100595785 relations and 95620206 unique ideals
  63. Fri Apr  5 16:32:34 2019  reduce to 99968988 relations and 87949554 ideals in 8 passes
  64. Fri Apr  5 16:32:34 2019  max relations containing the same ideal: 186
  65. Fri Apr  5 16:33:12 2019  removing 8199750 relations and 6199750 ideals in 2000000 cliques
  66. Fri Apr  5 16:33:14 2019  commencing in-memory singleton removal
  67. Fri Apr  5 16:33:21 2019  begin with 91769238 relations and 87949554 unique ideals
  68. Fri Apr  5 16:34:10 2019  reduce to 91211403 relations and 81181047 ideals in 7 passes
  69. Fri Apr  5 16:34:10 2019  max relations containing the same ideal: 175
  70. Fri Apr  5 16:34:44 2019  removing 7773956 relations and 5773956 ideals in 2000000 cliques
  71. Fri Apr  5 16:34:46 2019  commencing in-memory singleton removal
  72. Fri Apr  5 16:34:52 2019  begin with 83437447 relations and 81181047 unique ideals
  73. Fri Apr  5 16:35:42 2019  reduce to 82898747 relations and 74857505 ideals in 8 passes
  74. Fri Apr  5 16:35:42 2019  max relations containing the same ideal: 165
  75. Fri Apr  5 16:36:13 2019  removing 7520917 relations and 5520917 ideals in 2000000 cliques
  76. Fri Apr  5 16:36:15 2019  commencing in-memory singleton removal
  77. Fri Apr  5 16:36:20 2019  begin with 75377830 relations and 74857505 unique ideals
  78. Fri Apr  5 16:37:05 2019  reduce to 74835299 relations and 68782290 ideals in 8 passes
  79. Fri Apr  5 16:37:05 2019  max relations containing the same ideal: 153
  80. Fri Apr  5 16:37:32 2019  removing 7363594 relations and 5363594 ideals in 2000000 cliques
  81. Fri Apr  5 16:37:35 2019  commencing in-memory singleton removal
  82. Fri Apr  5 16:37:39 2019  begin with 67471705 relations and 68782290 unique ideals
  83. Fri Apr  5 16:38:13 2019  reduce to 66902191 relations and 62835298 ideals in 7 passes
  84. Fri Apr  5 16:38:13 2019  max relations containing the same ideal: 142
  85. Fri Apr  5 16:38:38 2019  removing 7270592 relations and 5270592 ideals in 2000000 cliques
  86. Fri Apr  5 16:38:40 2019  commencing in-memory singleton removal
  87. Fri Apr  5 16:38:44 2019  begin with 59631599 relations and 62835298 unique ideals
  88. Fri Apr  5 16:39:18 2019  reduce to 59009158 relations and 56925787 ideals in 8 passes
  89. Fri Apr  5 16:39:18 2019  max relations containing the same ideal: 131
  90. Fri Apr  5 16:39:40 2019  removing 5354601 relations and 3984604 ideals in 1369997 cliques
  91. Fri Apr  5 16:39:42 2019  commencing in-memory singleton removal
  92. Fri Apr  5 16:39:46 2019  begin with 53654557 relations and 56925787 unique ideals
  93. Fri Apr  5 16:40:13 2019  reduce to 53279260 relations and 52557859 ideals in 7 passes
  94. Fri Apr  5 16:40:13 2019  max relations containing the same ideal: 122
  95. Fri Apr  5 16:40:32 2019  removing 65606 relations and 57579 ideals in 8027 cliques
  96. Fri Apr  5 16:40:33 2019  commencing in-memory singleton removal
  97. Fri Apr  5 16:40:37 2019  begin with 53213654 relations and 52557859 unique ideals
  98. Fri Apr  5 16:40:52 2019  reduce to 53213602 relations and 52500228 ideals in 4 passes
  99. Fri Apr  5 16:40:52 2019  max relations containing the same ideal: 121
  100. Fri Apr  5 16:41:02 2019  relations with 0 large ideals: 23716
  101. Fri Apr  5 16:41:02 2019  relations with 1 large ideals: 5673
  102. Fri Apr  5 16:41:02 2019  relations with 2 large ideals: 85009
  103. Fri Apr  5 16:41:02 2019  relations with 3 large ideals: 668778
  104. Fri Apr  5 16:41:02 2019  relations with 4 large ideals: 2922425
  105. Fri Apr  5 16:41:02 2019  relations with 5 large ideals: 7746856
  106. Fri Apr  5 16:41:02 2019  relations with 6 large ideals: 12965026
  107. Fri Apr  5 16:41:02 2019  relations with 7+ large ideals: 28796119
  108. Fri Apr  5 16:41:02 2019  commencing 2-way merge
  109. Fri Apr  5 16:41:30 2019  reduce to 35871500 relation sets and 35158126 unique ideals
  110. Fri Apr  5 16:41:30 2019  commencing full merge
  111. Fri Apr  5 16:52:18 2019  memory use: 4431.6 MB
  112. Fri Apr  5 16:52:21 2019  found 16227711 cycles, need 16212326
  113. Fri Apr  5 16:52:25 2019  weight of 16212326 cycles is about 1815902156 (112.01/cycle)
  114. Fri Apr  5 16:52:25 2019  distribution of cycle lengths:
  115. Fri Apr  5 16:52:25 2019  1 relations: 875155
  116. Fri Apr  5 16:52:25 2019  2 relations: 1163633
  117. Fri Apr  5 16:52:25 2019  3 relations: 1310447
  118. Fri Apr  5 16:52:25 2019  4 relations: 1306271
  119. Fri Apr  5 16:52:25 2019  5 relations: 1284551
  120. Fri Apr  5 16:52:25 2019  6 relations: 1233268
  121. Fri Apr  5 16:52:25 2019  7 relations: 1163888
  122. Fri Apr  5 16:52:25 2019  8 relations: 1090394
  123. Fri Apr  5 16:52:25 2019  9 relations: 1006519
  124. Fri Apr  5 16:52:25 2019  10+ relations: 5778200
  125. Fri Apr  5 16:52:25 2019  heaviest cycle: 28 relations
  126. Fri Apr  5 16:52:29 2019  commencing cycle optimization
  127. Fri Apr  5 16:52:55 2019  start with 134548859 relations
  128. Fri Apr  5 16:57:03 2019  pruned 5799069 relations
  129. Fri Apr  5 16:57:03 2019  memory use: 3602.5 MB
  130. Fri Apr  5 16:57:03 2019  distribution of cycle lengths:
  131. Fri Apr  5 16:57:03 2019  1 relations: 875155
  132. Fri Apr  5 16:57:03 2019  2 relations: 1193953
  133. Fri Apr  5 16:57:03 2019  3 relations: 1367911
  134. Fri Apr  5 16:57:03 2019  4 relations: 1360056
  135. Fri Apr  5 16:57:03 2019  5 relations: 1345683
  136. Fri Apr  5 16:57:03 2019  6 relations: 1285825
  137. Fri Apr  5 16:57:03 2019  7 relations: 1214344
  138. Fri Apr  5 16:57:03 2019  8 relations: 1131008
  139. Fri Apr  5 16:57:03 2019  9 relations: 1039812
  140. Fri Apr  5 16:57:03 2019  10+ relations: 5398579
  141. Fri Apr  5 16:57:03 2019  heaviest cycle: 28 relations
  142. Fri Apr  5 16:57:27 2019  RelProcTime: 5133
  143. Fri Apr  5 16:57:27 2019  
  144. Fri Apr  5 16:57:27 2019  commencing linear algebra
  145. Fri Apr  5 16:57:34 2019  read 16212326 cycles
  146. Fri Apr  5 16:58:04 2019  cycles contain 52792385 unique relations
  147. Fri Apr  5 17:02:07 2019  read 52792385 relations
  148. Fri Apr  5 17:03:22 2019  using 20 quadratic characters above 4294917295
  149. Fri Apr  5 17:06:38 2019  building initial matrix
  150. Fri Apr  5 17:15:33 2019  memory use: 6771.2 MB
  151. Fri Apr  5 17:15:40 2019  read 16212326 cycles
  152. Fri Apr  5 17:15:42 2019  matrix is 16212149 x 16212326 (7177.9 MB) with weight 2082207443 (128.43/col)
  153. Fri Apr  5 17:15:42 2019  sparse part has weight 1703302866 (105.06/col)
  154. Fri Apr  5 17:18:50 2019  filtering completed in 2 passes
  155. Fri Apr  5 17:18:53 2019  matrix is 16211926 x 16212103 (7177.9 MB) with weight 2082200181 (128.43/col)
  156. Fri Apr  5 17:18:53 2019  sparse part has weight 1703301186 (105.06/col)
  157. Fri Apr  5 17:19:45 2019  matrix starts at (0, 0)
  158. Fri Apr  5 17:19:47 2019  matrix is 16211926 x 16212103 (7177.9 MB) with weight 2082200181 (128.43/col)
  159. Fri Apr  5 17:19:47 2019  sparse part has weight 1703301186 (105.06/col)
  160. Fri Apr  5 17:19:47 2019  saving the first 48 matrix rows for later
  161. Fri Apr  5 17:19:49 2019  matrix includes 64 packed rows
  162. Fri Apr  5 17:19:51 2019  matrix is 16211878 x 16212103 (6909.2 MB) with weight 1772524222 (109.33/col)
  163. Fri Apr  5 17:19:51 2019  sparse part has weight 1649086552 (101.72/col)
  164. Fri Apr  5 17:19:52 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  165. Fri Apr  5 17:20:46 2019  commencing Lanczos iteration (4 threads)
  166. Fri Apr  5 17:20:46 2019  memory use: 6648.3 MB
  167. Fri Apr  5 17:22:12 2019  linear algebra at 0.0%, ETA 246h41m
  168. Fri Apr  5 17:22:39 2019  checkpointing every 70000 dimensions
  169. Sun Apr 14 07:20:20 2019  lanczos halted after 256370 iterations (dim = 16211876)
  170. Sun Apr 14 07:20:47 2019  recovered 35 nontrivial dependencies
  171. Sun Apr 14 07:20:47 2019  BLanczosTime: 743000
  172. Sun Apr 14 07:20:47 2019  
  173. Sun Apr 14 07:20:47 2019  commencing square root phase
  174. Sun Apr 14 07:20:47 2019  handling dependencies 1 to 64
  175. Sun Apr 14 07:20:47 2019  reading relations for dependency 1
  176. Sun Apr 14 07:20:49 2019  read 8109195 cycles
  177. Sun Apr 14 07:21:01 2019  cycles contain 26404900 unique relations
  178. Sun Apr 14 07:23:12 2019  read 26404900 relations
  179. Sun Apr 14 07:24:46 2019  multiplying 26404900 relations
  180. Sun Apr 14 07:42:35 2019  multiply complete, coefficients have about 723.84 million bits
  181. Sun Apr 14 07:42:38 2019  initial square root is modulo 3118201
  182. Sun Apr 14 08:01:53 2019  sqrtTime: 2466
  183. Sun Apr 14 08:01:53 2019  p60 factor: 341624394150068156629396350490375871913526665140933136807209
  184. Sun Apr 14 08:01:53 2019  p167 factor: 83733459257961674499014662079615086935868000631515045369249160094526831375571489909984175022985448134978979899191079617869912904827398983183307604931461859985778123949
  185. Sun Apr 14 08:01:53 2019  elapsed time 208:30:00
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