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50009_239A postprocessing log

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Oct 12th, 2018
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  1. Wed Oct 3 19:57:48 2018 Msieve v. 1.52 (SVN exported)
  2. Wed Oct 3 19:57:48 2018 random seeds: 67a209e4 472b2c1a
  3. Wed Oct 3 19:57:48 2018 factoring 500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (240 digits)
  4. Wed Oct 3 19:57:57 2018 searching for 15-digit factors
  5. Wed Oct 3 19:58:12 2018 commencing number field sieve (240-digit input)
  6. Wed Oct 3 19:58:12 2018 R0: -10000000000000000000000000000000000000000
  7. Wed Oct 3 19:58:12 2018 R1: 1
  8. Wed Oct 3 19:58:12 2018 A0: 18
  9. Wed Oct 3 19:58:12 2018 A1: 0
  10. Wed Oct 3 19:58:12 2018 A2: 0
  11. Wed Oct 3 19:58:12 2018 A3: 0
  12. Wed Oct 3 19:58:12 2018 A4: 0
  13. Wed Oct 3 19:58:12 2018 A5: 0
  14. Wed Oct 3 19:58:12 2018 A6: 1
  15. Wed Oct 3 19:58:12 2018 skew 1.62, size 7.197e-12, alpha 1.318, combined = 5.042e-13 rroots = 0
  16. Wed Oct 3 19:58:12 2018
  17. Wed Oct 3 19:58:12 2018 commencing relation filtering
  18. Wed Oct 3 19:58:12 2018 setting target matrix density to 130.0
  19. Wed Oct 3 19:58:12 2018 estimated available RAM is 7982.7 MB
  20. Wed Oct 3 19:58:12 2018 commencing duplicate removal, pass 1
  21. Wed Oct 3 21:39:31 2018 skipped 87 relations with b > 2^32
  22. Wed Oct 3 21:39:31 2018 found 39729848 hash collisions in 219901101 relations
  23. Wed Oct 3 21:40:26 2018 added 1219244 free relations
  24. Wed Oct 3 21:40:26 2018 commencing duplicate removal, pass 2
  25. Wed Oct 3 21:55:53 2018 found 37825922 duplicates and 183294423 unique relations
  26. Wed Oct 3 21:55:53 2018 memory use: 1321.5 MB
  27. Wed Oct 3 21:55:53 2018 reading ideals above 119996416
  28. Wed Oct 3 21:55:53 2018 commencing singleton removal, initial pass
  29. Wed Oct 3 22:58:05 2018 memory use: 3012.0 MB
  30. Wed Oct 3 22:58:05 2018 reading all ideals from disk
  31. Wed Oct 3 22:58:54 2018 memory use: 3195.1 MB
  32. Wed Oct 3 22:59:57 2018 commencing in-memory singleton removal
  33. Wed Oct 3 23:00:59 2018 begin with 183294423 relations and 157951267 unique ideals
  34. Wed Oct 3 23:10:53 2018 reduce to 111395623 relations and 77910788 ideals in 15 passes
  35. Wed Oct 3 23:10:53 2018 max relations containing the same ideal: 36
  36. Wed Oct 3 23:11:33 2018 reading ideals above 720000
  37. Wed Oct 3 23:11:33 2018 commencing singleton removal, initial pass
  38. Thu Oct 4 00:01:09 2018 memory use: 2756.0 MB
  39. Thu Oct 4 00:01:09 2018 reading large ideals from disk
  40. Thu Oct 4 00:03:52 2018 keeping 81792545 ideals with weight <= 20, target excess is 9800614
  41. Thu Oct 4 00:06:22 2018 memory use: 2674.3 MB
  42. Thu Oct 4 00:06:22 2018 commencing in-memory singleton removal
  43. Thu Oct 4 00:06:37 2018 begin with 111395623 relations and 81792545 unique ideals
  44. Thu Oct 4 00:08:27 2018 reduce to 111395345 relations and 81792267 ideals in 7 passes
  45. Thu Oct 4 00:08:27 2018 max relations containing the same ideal: 20
  46. Thu Oct 4 00:10:03 2018 removing 10670367 relations and 8670367 ideals in 2000000 cliques
  47. Thu Oct 4 00:10:10 2018 commencing in-memory singleton removal
  48. Thu Oct 4 00:10:21 2018 begin with 100724978 relations and 81792267 unique ideals
  49. Thu Oct 4 00:12:15 2018 reduce to 99838723 relations and 72215230 ideals in 9 passes
  50. Thu Oct 4 00:12:15 2018 max relations containing the same ideal: 20
  51. Thu Oct 4 00:13:41 2018 removing 8096155 relations and 6096155 ideals in 2000000 cliques
  52. Thu Oct 4 00:13:48 2018 commencing in-memory singleton removal
  53. Thu Oct 4 00:13:58 2018 begin with 91742568 relations and 72215230 unique ideals
  54. Thu Oct 4 00:15:30 2018 reduce to 91142256 relations and 65506445 ideals in 8 passes
  55. Thu Oct 4 00:15:30 2018 max relations containing the same ideal: 20
  56. Thu Oct 4 00:16:50 2018 removing 7378565 relations and 5378565 ideals in 2000000 cliques
  57. Thu Oct 4 00:16:56 2018 commencing in-memory singleton removal
  58. Thu Oct 4 00:17:05 2018 begin with 83763691 relations and 65506445 unique ideals
  59. Thu Oct 4 00:18:32 2018 reduce to 83221693 relations and 59574309 ideals in 8 passes
  60. Thu Oct 4 00:18:32 2018 max relations containing the same ideal: 20
  61. Thu Oct 4 00:19:44 2018 removing 7035457 relations and 5035457 ideals in 2000000 cliques
  62. Thu Oct 4 00:19:51 2018 commencing in-memory singleton removal
  63. Thu Oct 4 00:19:59 2018 begin with 76186236 relations and 59574309 unique ideals
  64. Thu Oct 4 00:21:16 2018 reduce to 75660336 relations and 54001242 ideals in 8 passes
  65. Thu Oct 4 00:21:16 2018 max relations containing the same ideal: 20
  66. Thu Oct 4 00:22:19 2018 removing 6821711 relations and 4821711 ideals in 2000000 cliques
  67. Thu Oct 4 00:22:25 2018 commencing in-memory singleton removal
  68. Thu Oct 4 00:22:32 2018 begin with 68838625 relations and 54001242 unique ideals
  69. Thu Oct 4 00:23:41 2018 reduce to 68302762 relations and 48630746 ideals in 8 passes
  70. Thu Oct 4 00:23:41 2018 max relations containing the same ideal: 20
  71. Thu Oct 4 00:24:35 2018 removing 6701755 relations and 4701755 ideals in 2000000 cliques
  72. Thu Oct 4 00:24:41 2018 commencing in-memory singleton removal
  73. Thu Oct 4 00:24:47 2018 begin with 61601007 relations and 48630746 unique ideals
  74. Thu Oct 4 00:25:44 2018 reduce to 61044942 relations and 43358085 ideals in 8 passes
  75. Thu Oct 4 00:25:44 2018 max relations containing the same ideal: 20
  76. Thu Oct 4 00:26:29 2018 removing 6629931 relations and 4629931 ideals in 2000000 cliques
  77. Thu Oct 4 00:26:34 2018 commencing in-memory singleton removal
  78. Thu Oct 4 00:26:39 2018 begin with 54415011 relations and 43358085 unique ideals
  79. Thu Oct 4 00:27:22 2018 reduce to 53818070 relations and 38113272 ideals in 8 passes
  80. Thu Oct 4 00:27:22 2018 max relations containing the same ideal: 19
  81. Thu Oct 4 00:28:00 2018 removing 6587008 relations and 4587008 ideals in 2000000 cliques
  82. Thu Oct 4 00:28:05 2018 commencing in-memory singleton removal
  83. Thu Oct 4 00:28:09 2018 begin with 47231062 relations and 38113272 unique ideals
  84. Thu Oct 4 00:28:46 2018 reduce to 46572622 relations and 32845897 ideals in 8 passes
  85. Thu Oct 4 00:28:46 2018 max relations containing the same ideal: 19
  86. Thu Oct 4 00:29:19 2018 removing 6553231 relations and 4553231 ideals in 2000000 cliques
  87. Thu Oct 4 00:29:23 2018 commencing in-memory singleton removal
  88. Thu Oct 4 00:29:26 2018 begin with 40019391 relations and 32845897 unique ideals
  89. Thu Oct 4 00:29:59 2018 reduce to 39228108 relations and 27469694 ideals in 8 passes
  90. Thu Oct 4 00:29:59 2018 max relations containing the same ideal: 19
  91. Thu Oct 4 00:30:29 2018 removing 1498011 relations and 1108310 ideals in 389701 cliques
  92. Thu Oct 4 00:30:31 2018 commencing in-memory singleton removal
  93. Thu Oct 4 00:30:34 2018 begin with 37730097 relations and 27469694 unique ideals
  94. Thu Oct 4 00:31:06 2018 reduce to 37656540 relations and 26287054 ideals in 9 passes
  95. Thu Oct 4 00:31:06 2018 max relations containing the same ideal: 19
  96. Thu Oct 4 00:31:35 2018 relations with 0 large ideals: 2186312
  97. Thu Oct 4 00:31:35 2018 relations with 1 large ideals: 8909154
  98. Thu Oct 4 00:31:35 2018 relations with 2 large ideals: 14107930
  99. Thu Oct 4 00:31:35 2018 relations with 3 large ideals: 9228647
  100. Thu Oct 4 00:31:35 2018 relations with 4 large ideals: 2664614
  101. Thu Oct 4 00:31:35 2018 relations with 5 large ideals: 400724
  102. Thu Oct 4 00:31:35 2018 relations with 6 large ideals: 107335
  103. Thu Oct 4 00:31:35 2018 relations with 7+ large ideals: 51824
  104. Thu Oct 4 00:31:35 2018 commencing 2-way merge
  105. Thu Oct 4 00:32:10 2018 reduce to 22817567 relation sets and 11448081 unique ideals
  106. Thu Oct 4 00:32:10 2018 commencing full merge
  107. Thu Oct 4 00:37:51 2018 memory use: 1068.2 MB
  108. Thu Oct 4 00:37:56 2018 found 11331659 cycles, need 10130314
  109. Thu Oct 4 00:38:03 2018 weight of 10130314 cycles is about 970468728 (95.80/cycle)
  110. Thu Oct 4 00:38:04 2018 distribution of cycle lengths:
  111. Thu Oct 4 00:38:04 2018 1 relations: 2187549
  112. Thu Oct 4 00:38:04 2018 2 relations: 887779
  113. Thu Oct 4 00:38:04 2018 3 relations: 666929
  114. Thu Oct 4 00:38:04 2018 4 relations: 584658
  115. Thu Oct 4 00:38:04 2018 5 relations: 555739
  116. Thu Oct 4 00:38:04 2018 6 relations: 529885
  117. Thu Oct 4 00:38:04 2018 7 relations: 516666
  118. Thu Oct 4 00:38:04 2018 8 relations: 497615
  119. Thu Oct 4 00:38:04 2018 9 relations: 480818
  120. Thu Oct 4 00:38:04 2018 10+ relations: 3222676
  121. Thu Oct 4 00:38:04 2018 heaviest cycle: 22 relations
  122. Thu Oct 4 00:38:05 2018 commencing cycle optimization
  123. Thu Oct 4 00:38:48 2018 start with 70345196 relations
  124. Thu Oct 4 00:44:22 2018 pruned 5634906 relations
  125. Thu Oct 4 00:44:23 2018 memory use: 1949.1 MB
  126. Thu Oct 4 00:44:23 2018 distribution of cycle lengths:
  127. Thu Oct 4 00:44:23 2018 1 relations: 2187549
  128. Thu Oct 4 00:44:23 2018 2 relations: 923178
  129. Thu Oct 4 00:44:23 2018 3 relations: 710604
  130. Thu Oct 4 00:44:23 2018 4 relations: 632820
  131. Thu Oct 4 00:44:23 2018 5 relations: 614437
  132. Thu Oct 4 00:44:23 2018 6 relations: 593365
  133. Thu Oct 4 00:44:23 2018 7 relations: 586667
  134. Thu Oct 4 00:44:23 2018 8 relations: 564897
  135. Thu Oct 4 00:44:23 2018 9 relations: 542282
  136. Thu Oct 4 00:44:23 2018 10+ relations: 2774515
  137. Thu Oct 4 00:44:23 2018 heaviest cycle: 22 relations
  138. Thu Oct 4 00:44:57 2018 RelProcTime: 17205
  139. Thu Oct 4 00:45:06 2018
  140. Thu Oct 4 00:45:06 2018 commencing linear algebra
  141. Thu Oct 4 00:45:09 2018 read 10130314 cycles
  142. Thu Oct 4 00:45:46 2018 cycles contain 31412158 unique relations
  143. Thu Oct 4 01:00:30 2018 read 31412158 relations
  144. Thu Oct 4 01:03:16 2018 using 20 quadratic characters above 2147481938
  145. Thu Oct 4 01:07:41 2018 building initial matrix
  146. Thu Oct 4 01:23:27 2018 memory use: 3977.6 MB
  147. Thu Oct 4 01:23:44 2018 read 10130314 cycles
  148. Thu Oct 4 01:23:49 2018 matrix is 10129656 x 10130314 (3704.9 MB) with weight 1068500815 (105.48/col)
  149. Thu Oct 4 01:23:49 2018 sparse part has weight 859771683 (84.87/col)
  150. Thu Oct 4 01:31:52 2018 filtering completed in 3 passes
  151. Thu Oct 4 01:31:57 2018 matrix is 10115931 x 10116131 (3702.1 MB) with weight 1067655780 (105.54/col)
  152. Thu Oct 4 01:31:57 2018 sparse part has weight 859204521 (84.93/col)
  153. Thu Oct 4 01:33:20 2018 matrix starts at (0, 0)
  154. Thu Oct 4 01:33:23 2018 matrix is 10115931 x 10116131 (3702.1 MB) with weight 1067655780 (105.54/col)
  155. Thu Oct 4 01:33:23 2018 sparse part has weight 859204521 (84.93/col)
  156. Thu Oct 4 01:33:23 2018 saving the first 48 matrix rows for later
  157. Thu Oct 4 01:33:27 2018 matrix includes 64 packed rows
  158. Thu Oct 4 01:33:31 2018 matrix is 10115883 x 10116131 (3528.9 MB) with weight 884645021 (87.45/col)
  159. Thu Oct 4 01:33:31 2018 sparse part has weight 823912068 (81.45/col)
  160. Thu Oct 4 01:33:31 2018 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  161. Thu Oct 4 01:35:05 2018 commencing Lanczos iteration (8 threads)
  162. Thu Oct 4 01:35:05 2018 memory use: 2967.9 MB
  163. Thu Oct 4 01:36:50 2018 linear algebra at 0.0%, ETA 184h36m
  164. Thu Oct 4 01:37:25 2018 checkpointing every 60000 dimensions
  165. Thu Oct 11 17:21:25 2018 lanczos halted after 159965 iterations (dim = 10115883)
  166. Thu Oct 11 17:21:48 2018 recovered 38 nontrivial dependencies
  167. Thu Oct 11 17:21:50 2018 BLanczosTime: 664604
  168. Thu Oct 11 17:21:50 2018
  169. Thu Oct 11 17:21:50 2018 commencing square root phase
  170. Thu Oct 11 17:21:50 2018 handling dependencies 1 to 64
  171. Thu Oct 11 17:21:50 2018 reading relations for dependency 1
  172. Thu Oct 11 17:21:53 2018 read 5059148 cycles
  173. Thu Oct 11 17:22:08 2018 cycles contain 15694860 unique relations
  174. Thu Oct 11 17:32:57 2018 read 15694860 relations
  175. Thu Oct 11 17:36:28 2018 multiplying 15694860 relations
  176. Thu Oct 11 18:09:03 2018 multiply complete, coefficients have about 394.33 million bits
  177. Thu Oct 11 18:09:07 2018 initial square root is modulo 11898151
  178. Thu Oct 11 18:45:36 2018 GCD is N, no factor found
  179. Thu Oct 11 18:45:36 2018 reading relations for dependency 2
  180. Thu Oct 11 18:45:41 2018 read 5057164 cycles
  181. Thu Oct 11 18:46:00 2018 cycles contain 15693566 unique relations
  182. Thu Oct 11 18:58:48 2018 read 15693566 relations
  183. Thu Oct 11 19:02:19 2018 multiplying 15693566 relations
  184. Thu Oct 11 19:34:16 2018 multiply complete, coefficients have about 394.30 million bits
  185. Thu Oct 11 19:34:21 2018 initial square root is modulo 11884981
  186. Thu Oct 11 20:14:53 2018 sqrtTime: 10383
  187. Thu Oct 11 20:14:53 2018 prp82 factor: 1417246379190741091294710887069988693962460050539272292265856038031419418353106811
  188. Thu Oct 11 20:14:53 2018 prp159 factor: 352796808897479039998029361876750939883691770698572023810385208817313795464240723590109959613347704487197168636357320722740471737579381480952371265847215244619
  189. Thu Oct 11 20:14:53 2018 elapsed time 192:17:05
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