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Apr 14th, 2019
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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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