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Aug 20th, 2018
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  1. Fri Aug 10 18:04:22 2018 Msieve v. 1.53 (SVN unknown)
  2. Fri Aug 10 18:04:22 2018 random seeds: 271e3dae 69ae4ae4
  3. Fri Aug 10 18:04:22 2018 factoring 69405435936968401278976803579112078018352517371124391415709922720117969960353814898436448572141334064811267075254893339905836023730194122434412306867039040179858432379048732782767855169277527175436065364269 (206 digits)
  4. Fri Aug 10 18:04:23 2018 searching for 15-digit factors
  5. Fri Aug 10 18:04:24 2018 commencing number field sieve (206-digit input)
  6. Fri Aug 10 18:04:24 2018 R0: 1063502461347443891056690249655347258349
  7. Fri Aug 10 18:04:24 2018 R1: -1
  8. Fri Aug 10 18:04:24 2018 A0: -1
  9. Fri Aug 10 18:04:24 2018 A1: 0
  10. Fri Aug 10 18:04:24 2018 A2: 0
  11. Fri Aug 10 18:04:24 2018 A3: 0
  12. Fri Aug 10 18:04:24 2018 A4: 0
  13. Fri Aug 10 18:04:24 2018 A5: 0
  14. Fri Aug 10 18:04:24 2018 A6: 63877469
  15. Fri Aug 10 18:04:24 2018 skew 1.00, size 1.292e-12, alpha 0.645, combined = 1.094e-13 rroots = 2
  16. Fri Aug 10 18:04:24 2018
  17. Fri Aug 10 18:04:24 2018 commencing relation filtering
  18. Fri Aug 10 18:04:24 2018 setting target matrix density to 102.0
  19. Fri Aug 10 18:04:24 2018 estimated available RAM is 15997.3 MB
  20. Fri Aug 10 18:04:24 2018 commencing duplicate removal, pass 1
  21. Fri Aug 10 18:08:36 2018 error -1 reading relation 37333976
  22. Fri Aug 10 18:20:54 2018 error -11 reading relation 145968481
  23. Fri Aug 10 18:23:22 2018 error -11 reading relation 166593513
  24. Fri Aug 10 18:23:43 2018 skipped 10460 relations with b > 2^32
  25. Fri Aug 10 18:23:43 2018 found 6360531 hash collisions in 169651669 relations
  26. Fri Aug 10 18:23:53 2018 commencing duplicate removal, pass 2
  27. Fri Aug 10 18:24:37 2018 found 3 duplicates and 169651666 unique relations
  28. Fri Aug 10 18:24:37 2018 memory use: 506.4 MB
  29. Fri Aug 10 18:24:37 2018 reading ideals above 131923968
  30. Fri Aug 10 18:24:37 2018 commencing singleton removal, initial pass
  31. Fri Aug 10 18:38:45 2018 memory use: 3012.0 MB
  32. Fri Aug 10 18:38:45 2018 reading all ideals from disk
  33. Fri Aug 10 18:38:51 2018 memory use: 3244.0 MB
  34. Fri Aug 10 18:38:57 2018 commencing in-memory singleton removal
  35. Fri Aug 10 18:39:03 2018 begin with 169651666 relations and 158287132 unique ideals
  36. Fri Aug 10 18:40:14 2018 reduce to 93309269 relations and 72555139 ideals in 18 passes
  37. Fri Aug 10 18:40:14 2018 max relations containing the same ideal: 36
  38. Fri Aug 10 18:40:19 2018 reading ideals above 720000
  39. Fri Aug 10 18:40:19 2018 commencing singleton removal, initial pass
  40. Fri Aug 10 18:50:15 2018 memory use: 2756.0 MB
  41. Fri Aug 10 18:50:15 2018 reading all ideals from disk
  42. Fri Aug 10 18:50:22 2018 memory use: 3710.7 MB
  43. Fri Aug 10 18:50:31 2018 keeping 87040627 ideals with weight <= 200, target excess is 472511
  44. Fri Aug 10 18:50:40 2018 commencing in-memory singleton removal
  45. Fri Aug 10 18:50:48 2018 begin with 93309269 relations and 87040627 unique ideals
  46. Fri Aug 10 18:51:52 2018 reduce to 93305333 relations and 87036691 ideals in 9 passes
  47. Fri Aug 10 18:51:52 2018 max relations containing the same ideal: 200
  48. Fri Aug 10 18:52:31 2018 removing 8461646 relations and 7461646 ideals in 1000000 cliques
  49. Fri Aug 10 18:52:34 2018 commencing in-memory singleton removal
  50. Fri Aug 10 18:52:40 2018 begin with 84843687 relations and 87036691 unique ideals
  51. Fri Aug 10 18:53:41 2018 reduce to 84167434 relations and 78888251 ideals in 10 passes
  52. Fri Aug 10 18:53:41 2018 max relations containing the same ideal: 195
  53. Fri Aug 10 18:54:15 2018 removing 6322647 relations and 5322647 ideals in 1000000 cliques
  54. Fri Aug 10 18:54:17 2018 commencing in-memory singleton removal
  55. Fri Aug 10 18:54:23 2018 begin with 77844787 relations and 78888251 unique ideals
  56. Fri Aug 10 18:55:08 2018 reduce to 77423849 relations and 73139122 ideals in 8 passes
  57. Fri Aug 10 18:55:08 2018 max relations containing the same ideal: 186
  58. Fri Aug 10 18:55:39 2018 removing 5656204 relations and 4656204 ideals in 1000000 cliques
  59. Fri Aug 10 18:55:41 2018 commencing in-memory singleton removal
  60. Fri Aug 10 18:55:46 2018 begin with 71767645 relations and 73139122 unique ideals
  61. Fri Aug 10 18:56:37 2018 reduce to 71402372 relations and 68112687 ideals in 10 passes
  62. Fri Aug 10 18:56:37 2018 max relations containing the same ideal: 179
  63. Fri Aug 10 18:57:07 2018 removing 5310635 relations and 4310635 ideals in 1000000 cliques
  64. Fri Aug 10 18:57:08 2018 commencing in-memory singleton removal
  65. Fri Aug 10 18:57:13 2018 begin with 66091737 relations and 68112687 unique ideals
  66. Fri Aug 10 18:57:50 2018 reduce to 65745303 relations and 63450842 ideals in 8 passes
  67. Fri Aug 10 18:57:50 2018 max relations containing the same ideal: 169
  68. Fri Aug 10 18:58:17 2018 removing 5097544 relations and 4097544 ideals in 1000000 cliques
  69. Fri Aug 10 18:58:19 2018 commencing in-memory singleton removal
  70. Fri Aug 10 18:58:23 2018 begin with 60647759 relations and 63450842 unique ideals
  71. Fri Aug 10 18:59:01 2018 reduce to 60302121 relations and 59002753 ideals in 9 passes
  72. Fri Aug 10 18:59:01 2018 max relations containing the same ideal: 160
  73. Fri Aug 10 18:59:26 2018 removing 3934805 relations and 3183550 ideals in 751255 cliques
  74. Fri Aug 10 18:59:27 2018 commencing in-memory singleton removal
  75. Fri Aug 10 18:59:31 2018 begin with 56367316 relations and 59002753 unique ideals
  76. Fri Aug 10 19:00:02 2018 reduce to 56152536 relations and 55601892 ideals in 8 passes
  77. Fri Aug 10 19:00:02 2018 max relations containing the same ideal: 151
  78. Fri Aug 10 19:00:33 2018 relations with 0 large ideals: 16641
  79. Fri Aug 10 19:00:33 2018 relations with 1 large ideals: 3046
  80. Fri Aug 10 19:00:33 2018 relations with 2 large ideals: 49080
  81. Fri Aug 10 19:00:33 2018 relations with 3 large ideals: 436352
  82. Fri Aug 10 19:00:33 2018 relations with 4 large ideals: 2144908
  83. Fri Aug 10 19:00:33 2018 relations with 5 large ideals: 6435937
  84. Fri Aug 10 19:00:33 2018 relations with 6 large ideals: 12243828
  85. Fri Aug 10 19:00:33 2018 relations with 7+ large ideals: 34822744
  86. Fri Aug 10 19:00:33 2018 commencing 2-way merge
  87. Fri Aug 10 19:01:04 2018 reduce to 35591035 relation sets and 35040391 unique ideals
  88. Fri Aug 10 19:01:04 2018 commencing full merge
  89. Fri Aug 10 19:12:27 2018 memory use: 4458.1 MB
  90. Fri Aug 10 19:12:30 2018 found 16608689 cycles, need 16608591
  91. Fri Aug 10 19:12:34 2018 weight of 16608591 cycles is about 1694254429 (102.01/cycle)
  92. Fri Aug 10 19:12:34 2018 distribution of cycle lengths:
  93. Fri Aug 10 19:12:34 2018 1 relations: 1450320
  94. Fri Aug 10 19:12:34 2018 2 relations: 1527567
  95. Fri Aug 10 19:12:34 2018 3 relations: 1526129
  96. Fri Aug 10 19:12:34 2018 4 relations: 1432762
  97. Fri Aug 10 19:12:34 2018 5 relations: 1334032
  98. Fri Aug 10 19:12:34 2018 6 relations: 1201439
  99. Fri Aug 10 19:12:34 2018 7 relations: 1102454
  100. Fri Aug 10 19:12:34 2018 8 relations: 988706
  101. Fri Aug 10 19:12:34 2018 9 relations: 882758
  102. Fri Aug 10 19:12:34 2018 10+ relations: 5162424
  103. Fri Aug 10 19:12:34 2018 heaviest cycle: 28 relations
  104. Fri Aug 10 19:12:38 2018 commencing cycle optimization
  105. Fri Aug 10 19:13:02 2018 start with 126549141 relations
  106. Fri Aug 10 19:16:45 2018 pruned 4300860 relations
  107. Fri Aug 10 19:16:45 2018 memory use: 3619.3 MB
  108. Fri Aug 10 19:16:45 2018 distribution of cycle lengths:
  109. Fri Aug 10 19:16:45 2018 1 relations: 1450320
  110. Fri Aug 10 19:16:45 2018 2 relations: 1563164
  111. Fri Aug 10 19:16:45 2018 3 relations: 1585955
  112. Fri Aug 10 19:16:45 2018 4 relations: 1478209
  113. Fri Aug 10 19:16:45 2018 5 relations: 1380404
  114. Fri Aug 10 19:16:45 2018 6 relations: 1234375
  115. Fri Aug 10 19:16:45 2018 7 relations: 1129977
  116. Fri Aug 10 19:16:45 2018 8 relations: 1006843
  117. Fri Aug 10 19:16:45 2018 9 relations: 896915
  118. Fri Aug 10 19:16:45 2018 10+ relations: 4882429
  119. Fri Aug 10 19:16:45 2018 heaviest cycle: 28 relations
  120. Fri Aug 10 19:17:10 2018 RelProcTime: 4366
  121. Fri Aug 10 19:17:10 2018
  122. Fri Aug 10 19:17:10 2018 commencing linear algebra
  123. Fri Aug 10 19:17:17 2018 read 16608591 cycles
  124. Fri Aug 10 19:17:44 2018 cycles contain 55693907 unique relations
  125. Fri Aug 10 19:21:48 2018 read 55693907 relations
  126. Fri Aug 10 19:23:10 2018 using 20 quadratic characters above 4294917295
  127. Fri Aug 10 19:26:25 2018 building initial matrix
  128. Fri Aug 10 19:34:12 2018 memory use: 6922.2 MB
  129. Fri Aug 10 19:34:18 2018 read 16608591 cycles
  130. Fri Aug 10 19:34:20 2018 matrix is 16608414 x 16608591 (6827.7 MB) with weight 1968275472 (118.51/col)
  131. Fri Aug 10 19:34:20 2018 sparse part has weight 1607146800 (96.77/col)
  132. Fri Aug 10 19:37:07 2018 filtering completed in 2 passes
  133. Fri Aug 10 19:37:09 2018 matrix is 16608270 x 16608447 (6827.7 MB) with weight 1968270814 (118.51/col)
  134. Fri Aug 10 19:37:09 2018 sparse part has weight 1607145598 (96.77/col)
  135. Fri Aug 10 19:37:46 2018 matrix starts at (0, 0)
  136. Fri Aug 10 19:37:48 2018 matrix is 16608270 x 16608447 (6827.7 MB) with weight 1968270814 (118.51/col)
  137. Fri Aug 10 19:37:48 2018 sparse part has weight 1607145598 (96.77/col)
  138. Fri Aug 10 19:37:48 2018 saving the first 48 matrix rows for later
  139. Fri Aug 10 19:37:51 2018 matrix includes 64 packed rows
  140. Fri Aug 10 19:37:52 2018 matrix is 16608222 x 16608447 (6547.0 MB) with weight 1670262644 (100.57/col)
  141. Fri Aug 10 19:37:52 2018 sparse part has weight 1550162732 (93.34/col)
  142. Fri Aug 10 19:37:53 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  143. Fri Aug 10 19:38:57 2018 commencing Lanczos iteration (4 threads)
  144. Fri Aug 10 19:38:57 2018 memory use: 5577.5 MB
  145. Fri Aug 10 19:40:13 2018 linear algebra at 0.0%, ETA 222h16m
  146. Fri Aug 10 19:40:38 2018 checkpointing every 80000 dimensions
  147. Sun Aug 19 19:45:04 2018 lanczos halted after 262635 iterations (dim = 16608219)
  148. Sun Aug 19 19:45:23 2018 recovered 35 nontrivial dependencies
  149. Sun Aug 19 19:45:23 2018 BLanczosTime: 779293
  150. Sun Aug 19 19:45:23 2018
  151. Sun Aug 19 19:45:23 2018 commencing square root phase
  152. Sun Aug 19 19:45:23 2018 handling dependencies 1 to 64
  153. Sun Aug 19 19:45:23 2018 reading relations for dependency 1
  154. Sun Aug 19 19:45:25 2018 read 8303613 cycles
  155. Sun Aug 19 19:45:36 2018 cycles contain 27845844 unique relations
  156. Sun Aug 19 19:47:44 2018 read 27845844 relations
  157. Sun Aug 19 19:49:15 2018 multiplying 27845844 relations
  158. Sun Aug 19 20:27:21 2018 multiply complete, coefficients have about 1362.28 million bits
  159. Sun Aug 19 20:27:25 2018 initial square root is modulo 1290853
  160. Sun Aug 19 21:07:32 2018 GCD is 1, no factor found
  161. Sun Aug 19 21:07:32 2018 reading relations for dependency 2
  162. Sun Aug 19 21:07:34 2018 read 8304772 cycles
  163. Sun Aug 19 21:07:45 2018 cycles contain 27848180 unique relations
  164. Sun Aug 19 21:09:54 2018 read 27848180 relations
  165. Sun Aug 19 21:11:25 2018 multiplying 27848180 relations
  166. Sun Aug 19 21:49:12 2018 multiply complete, coefficients have about 1362.38 million bits
  167. Sun Aug 19 21:49:16 2018 initial square root is modulo 1292149
  168. Sun Aug 19 22:29:07 2018 GCD is 1, no factor found
  169. Sun Aug 19 22:29:07 2018 reading relations for dependency 3
  170. Sun Aug 19 22:29:09 2018 read 8303284 cycles
  171. Sun Aug 19 22:29:20 2018 cycles contain 27845864 unique relations
  172. Sun Aug 19 22:31:27 2018 read 27845864 relations
  173. Sun Aug 19 22:32:58 2018 multiplying 27845864 relations
  174. Sun Aug 19 23:10:55 2018 multiply complete, coefficients have about 1362.27 million bits
  175. Sun Aug 19 23:10:59 2018 initial square root is modulo 1290607
  176. Sun Aug 19 23:50:59 2018 GCD is N, no factor found
  177. Sun Aug 19 23:50:59 2018 reading relations for dependency 4
  178. Sun Aug 19 23:51:01 2018 read 8301812 cycles
  179. Sun Aug 19 23:51:12 2018 cycles contain 27838826 unique relations
  180. Sun Aug 19 23:53:18 2018 read 27838826 relations
  181. Sun Aug 19 23:54:49 2018 multiplying 27838826 relations
  182. Mon Aug 20 00:32:29 2018 multiply complete, coefficients have about 1361.93 million bits
  183. Mon Aug 20 00:32:33 2018 initial square root is modulo 1286209
  184. Mon Aug 20 01:12:30 2018 sqrtTime: 19627
  185. Mon Aug 20 01:12:30 2018 p78 factor: 279652819924425314520456692065295276529646924386702335162936852430683383734157
  186. Mon Aug 20 01:12:30 2018 p129 factor: 248184287774122394934084945270076274873357315841810071859021585192997730736950178693483731310773536151787659450319742872133494817
  187. Mon Aug 20 01:12:30 2018 elapsed time 223:08:08
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