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C144_M13_k81

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Sep 22nd, 2018
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  1. Sat Sep 22 16:19:13 2018
  2. Sat Sep 22 16:19:13 2018
  3. Sat Sep 22 16:19:13 2018 Msieve v. 1.54 (SVN 1018)
  4. Sat Sep 22 16:19:13 2018 random seeds: d94f3a60 33012e63
  5. Sat Sep 22 16:19:13 2018 factoring 264825344906277453126120227223411957834410035722235594567788230602806981072356424646791893431369093264813074612933105103650242407034060274594613 (144 digits)
  6. Sat Sep 22 16:19:14 2018 searching for 15-digit factors
  7. Sat Sep 22 16:19:14 2018 commencing number field sieve (144-digit input)
  8. Sat Sep 22 16:19:14 2018 R0: -3883313110859950532064678675
  9. Sat Sep 22 16:19:14 2018 R1: 9301187349143
  10. Sat Sep 22 16:19:14 2018 A0: -9261665869767876993551129515669384
  11. Sat Sep 22 16:19:14 2018 A1: 62581908081653463903587803882
  12. Sat Sep 22 16:19:14 2018 A2: 61903444113717332615053
  13. Sat Sep 22 16:19:14 2018 A3: -725663200807868038
  14. Sat Sep 22 16:19:14 2018 A4: -238966442838
  15. Sat Sep 22 16:19:14 2018 A5: 299880
  16. Sat Sep 22 16:19:14 2018 skew 661856.93, size 5.639e-014, alpha -6.305, combined = 1.188e-011 rroots = 3
  17. Sat Sep 22 16:19:14 2018
  18. Sat Sep 22 16:19:14 2018 commencing relation filtering
  19. Sat Sep 22 16:19:14 2018 setting target matrix density to 110.0
  20. Sat Sep 22 16:19:14 2018 estimated available RAM is 16335.3 MB
  21. Sat Sep 22 16:19:14 2018 commencing duplicate removal, pass 1
  22. Sat Sep 22 16:20:10 2018 error -1 reading relation 6721391
  23. Sat Sep 22 16:20:15 2018 error -15 reading relation 7365346
  24. Sat Sep 22 16:20:46 2018 error -1 reading relation 11182183
  25. Sat Sep 22 16:21:05 2018 error -15 reading relation 13397505
  26. Sat Sep 22 16:21:08 2018 error -9 reading relation 13856858
  27. Sat Sep 22 16:21:35 2018 error -1 reading relation 17094714
  28. Sat Sep 22 16:21:44 2018 error -1 reading relation 18266565
  29. Sat Sep 22 16:22:37 2018 error -9 reading relation 24806227
  30. Sat Sep 22 16:22:37 2018 error -15 reading relation 24820008
  31. Sat Sep 22 16:24:07 2018 error -15 reading relation 35892383
  32. Sat Sep 22 16:24:19 2018 error -9 reading relation 37300210
  33. Sat Sep 22 16:24:20 2018 error -9 reading relation 37446881
  34. Sat Sep 22 16:24:20 2018 error -9 reading relation 37483501
  35. Sat Sep 22 16:25:27 2018 error -1 reading relation 45425356
  36. Sat Sep 22 16:25:28 2018 error -15 reading relation 45535713
  37. Sat Sep 22 16:25:46 2018 error -1 reading relation 47751407
  38. Sat Sep 22 16:25:57 2018 error -15 reading relation 49060487
  39. Sat Sep 22 16:25:57 2018 error -15 reading relation 49131539
  40. Sat Sep 22 16:25:57 2018 error -15 reading relation 49157056
  41. Sat Sep 22 16:26:04 2018 error -1 reading relation 49926254
  42. Sat Sep 22 16:26:10 2018 error -9 reading relation 50709410
  43. Sat Sep 22 16:26:11 2018 error -1 reading relation 50746723
  44. Sat Sep 22 16:26:12 2018 error -15 reading relation 50958368
  45. Sat Sep 22 16:26:16 2018 error -9 reading relation 51400720
  46. Sat Sep 22 16:26:16 2018 error -9 reading relation 51401723
  47. Sat Sep 22 16:26:18 2018 error -1 reading relation 51672652
  48. Sat Sep 22 16:26:18 2018 error -9 reading relation 51707370
  49. Sat Sep 22 16:26:19 2018 error -9 reading relation 51763925
  50. Sat Sep 22 16:26:20 2018 error -15 reading relation 51888884
  51. Sat Sep 22 16:26:27 2018 error -15 reading relation 52735519
  52. Sat Sep 22 16:26:31 2018 error -5 reading relation 53290399
  53. Sat Sep 22 16:26:34 2018 error -9 reading relation 53657458
  54. Sat Sep 22 16:26:36 2018 error -9 reading relation 53797255
  55. Sat Sep 22 16:26:41 2018 error -9 reading relation 54461892
  56. Sat Sep 22 16:26:50 2018 error -15 reading relation 55554570
  57. Sat Sep 22 16:26:52 2018 error -15 reading relation 55715404
  58. Sat Sep 22 16:26:57 2018 error -5 reading relation 56409245
  59. Sat Sep 22 16:27:02 2018 error -15 reading relation 56930393
  60. Sat Sep 22 16:27:08 2018 error -9 reading relation 57680605
  61. Sat Sep 22 16:27:11 2018 error -9 reading relation 58061802
  62. Sat Sep 22 16:27:11 2018 error -15 reading relation 58071601
  63. Sat Sep 22 16:27:16 2018 error -9 reading relation 58618411
  64. Sat Sep 22 16:27:21 2018 error -15 reading relation 59193694
  65. Sat Sep 22 16:27:23 2018 error -15 reading relation 59423535
  66. Sat Sep 22 16:27:23 2018 error -15 reading relation 59477583
  67. Sat Sep 22 16:27:23 2018 error -5 reading relation 59486199
  68. Sat Sep 22 16:27:24 2018 error -15 reading relation 59627703
  69. Sat Sep 22 16:27:25 2018 error -9 reading relation 59655680
  70. Sat Sep 22 16:27:29 2018 error -1 reading relation 60213869
  71. Sat Sep 22 16:27:30 2018 skipped 24 relations with composite factors
  72. Sat Sep 22 16:27:30 2018 found 7782877 hash collisions in 60348162 relations
  73. Sat Sep 22 16:27:59 2018 added 121668 free relations
  74. Sat Sep 22 16:27:59 2018 commencing duplicate removal, pass 2
  75. Sat Sep 22 16:28:29 2018 found 5941151 duplicates and 54528679 unique relations
  76. Sat Sep 22 16:28:29 2018 memory use: 330.4 MB
  77. Sat Sep 22 16:28:29 2018 reading ideals above 720000
  78. Sat Sep 22 16:28:29 2018 commencing singleton removal, initial pass
  79. Sat Sep 22 16:35:07 2018 memory use: 1378.0 MB
  80. Sat Sep 22 16:35:08 2018 reading all ideals from disk
  81. Sat Sep 22 16:35:09 2018 memory use: 1872.1 MB
  82. Sat Sep 22 16:35:12 2018 keeping 46628739 ideals with weight <= 200, target excess is 288907
  83. Sat Sep 22 16:35:17 2018 commencing in-memory singleton removal
  84. Sat Sep 22 16:35:20 2018 begin with 54528679 relations and 46628739 unique ideals
  85. Sat Sep 22 16:35:56 2018 reduce to 36960721 relations and 27377015 ideals in 13 passes
  86. Sat Sep 22 16:35:56 2018 max relations containing the same ideal: 163
  87. Sat Sep 22 16:36:09 2018 removing 4143467 relations and 3143467 ideals in 1000000 cliques
  88. Sat Sep 22 16:36:11 2018 commencing in-memory singleton removal
  89. Sat Sep 22 16:36:12 2018 begin with 32817254 relations and 27377015 unique ideals
  90. Sat Sep 22 16:36:29 2018 reduce to 32448444 relations and 23852375 ideals in 7 passes
  91. Sat Sep 22 16:36:29 2018 max relations containing the same ideal: 150
  92. Sat Sep 22 16:36:40 2018 removing 3262085 relations and 2262085 ideals in 1000000 cliques
  93. Sat Sep 22 16:36:41 2018 commencing in-memory singleton removal
  94. Sat Sep 22 16:36:43 2018 begin with 29186359 relations and 23852375 unique ideals
  95. Sat Sep 22 16:36:56 2018 reduce to 28938085 relations and 21334387 ideals in 7 passes
  96. Sat Sep 22 16:36:56 2018 max relations containing the same ideal: 142
  97. Sat Sep 22 16:37:06 2018 removing 3025395 relations and 2025395 ideals in 1000000 cliques
  98. Sat Sep 22 16:37:07 2018 commencing in-memory singleton removal
  99. Sat Sep 22 16:37:09 2018 begin with 25912690 relations and 21334387 unique ideals
  100. Sat Sep 22 16:37:23 2018 reduce to 25690859 relations and 19079994 ideals in 8 passes
  101. Sat Sep 22 16:37:23 2018 max relations containing the same ideal: 134
  102. Sat Sep 22 16:37:32 2018 removing 2902694 relations and 1902694 ideals in 1000000 cliques
  103. Sat Sep 22 16:37:32 2018 commencing in-memory singleton removal
  104. Sat Sep 22 16:37:34 2018 begin with 22788165 relations and 19079994 unique ideals
  105. Sat Sep 22 16:37:43 2018 reduce to 22573879 relations and 16955652 ideals in 6 passes
  106. Sat Sep 22 16:37:43 2018 max relations containing the same ideal: 124
  107. Sat Sep 22 16:37:50 2018 removing 2831153 relations and 1831153 ideals in 1000000 cliques
  108. Sat Sep 22 16:37:51 2018 commencing in-memory singleton removal
  109. Sat Sep 22 16:37:52 2018 begin with 19742726 relations and 16955652 unique ideals
  110. Sat Sep 22 16:38:02 2018 reduce to 19523578 relations and 14896892 ideals in 8 passes
  111. Sat Sep 22 16:38:02 2018 max relations containing the same ideal: 110
  112. Sat Sep 22 16:38:09 2018 removing 2782923 relations and 1782923 ideals in 1000000 cliques
  113. Sat Sep 22 16:38:10 2018 commencing in-memory singleton removal
  114. Sat Sep 22 16:38:11 2018 begin with 16740655 relations and 14896892 unique ideals
  115. Sat Sep 22 16:38:19 2018 reduce to 16504708 relations and 12867866 ideals in 8 passes
  116. Sat Sep 22 16:38:19 2018 max relations containing the same ideal: 97
  117. Sat Sep 22 16:38:25 2018 removing 2756364 relations and 1756364 ideals in 1000000 cliques
  118. Sat Sep 22 16:38:26 2018 commencing in-memory singleton removal
  119. Sat Sep 22 16:38:26 2018 begin with 13748344 relations and 12867866 unique ideals
  120. Sat Sep 22 16:38:32 2018 reduce to 13485304 relations and 10834894 ideals in 7 passes
  121. Sat Sep 22 16:38:32 2018 max relations containing the same ideal: 87
  122. Sat Sep 22 16:38:37 2018 removing 2739578 relations and 1739578 ideals in 1000000 cliques
  123. Sat Sep 22 16:38:38 2018 commencing in-memory singleton removal
  124. Sat Sep 22 16:38:38 2018 begin with 10745726 relations and 10834894 unique ideals
  125. Sat Sep 22 16:38:43 2018 reduce to 10432896 relations and 8763088 ideals in 7 passes
  126. Sat Sep 22 16:38:43 2018 max relations containing the same ideal: 69
  127. Sat Sep 22 16:38:47 2018 removing 2736594 relations and 1736594 ideals in 1000000 cliques
  128. Sat Sep 22 16:38:47 2018 commencing in-memory singleton removal
  129. Sat Sep 22 16:38:48 2018 begin with 7696302 relations and 8763088 unique ideals
  130. Sat Sep 22 16:38:51 2018 reduce to 7295835 relations and 6593933 ideals in 9 passes
  131. Sat Sep 22 16:38:52 2018 max relations containing the same ideal: 57
  132. Sat Sep 22 16:38:54 2018 removing 1202227 relations and 835458 ideals in 366769 cliques
  133. Sat Sep 22 16:38:54 2018 commencing in-memory singleton removal
  134. Sat Sep 22 16:38:55 2018 begin with 6093608 relations and 6593933 unique ideals
  135. Sat Sep 22 16:38:57 2018 reduce to 5945052 relations and 5602938 ideals in 8 passes
  136. Sat Sep 22 16:38:57 2018 max relations containing the same ideal: 52
  137. Sat Sep 22 16:39:00 2018 relations with 0 large ideals: 945
  138. Sat Sep 22 16:39:00 2018 relations with 1 large ideals: 7330
  139. Sat Sep 22 16:39:00 2018 relations with 2 large ideals: 88869
  140. Sat Sep 22 16:39:00 2018 relations with 3 large ideals: 449551
  141. Sat Sep 22 16:39:00 2018 relations with 4 large ideals: 1158546
  142. Sat Sep 22 16:39:00 2018 relations with 5 large ideals: 1684533
  143. Sat Sep 22 16:39:00 2018 relations with 6 large ideals: 1472739
  144. Sat Sep 22 16:39:00 2018 relations with 7+ large ideals: 1082539
  145. Sat Sep 22 16:39:00 2018 commencing 2-way merge
  146. Sat Sep 22 16:39:03 2018 reduce to 3834537 relation sets and 3492423 unique ideals
  147. Sat Sep 22 16:39:03 2018 commencing full merge
  148. Sat Sep 22 16:40:07 2018 memory use: 464.9 MB
  149. Sat Sep 22 16:40:07 2018 found 1794661 cycles, need 1752623
  150. Sat Sep 22 16:40:07 2018 weight of 1752623 cycles is about 193376222 (110.34/cycle)
  151. Sat Sep 22 16:40:07 2018 distribution of cycle lengths:
  152. Sat Sep 22 16:40:07 2018 1 relations: 51082
  153. Sat Sep 22 16:40:07 2018 2 relations: 99473
  154. Sat Sep 22 16:40:07 2018 3 relations: 125558
  155. Sat Sep 22 16:40:07 2018 4 relations: 136933
  156. Sat Sep 22 16:40:07 2018 5 relations: 145057
  157. Sat Sep 22 16:40:07 2018 6 relations: 145955
  158. Sat Sep 22 16:40:07 2018 7 relations: 144050
  159. Sat Sep 22 16:40:07 2018 8 relations: 136774
  160. Sat Sep 22 16:40:07 2018 9 relations: 126941
  161. Sat Sep 22 16:40:07 2018 10+ relations: 640800
  162. Sat Sep 22 16:40:07 2018 heaviest cycle: 24 relations
  163. Sat Sep 22 16:40:07 2018 commencing cycle optimization
  164. Sat Sep 22 16:40:10 2018 start with 14659352 relations
  165. Sat Sep 22 16:40:37 2018 pruned 711668 relations
  166. Sat Sep 22 16:40:37 2018 memory use: 393.8 MB
  167. Sat Sep 22 16:40:37 2018 distribution of cycle lengths:
  168. Sat Sep 22 16:40:37 2018 1 relations: 51082
  169. Sat Sep 22 16:40:37 2018 2 relations: 102463
  170. Sat Sep 22 16:40:37 2018 3 relations: 131668
  171. Sat Sep 22 16:40:37 2018 4 relations: 143655
  172. Sat Sep 22 16:40:37 2018 5 relations: 154182
  173. Sat Sep 22 16:40:37 2018 6 relations: 154529
  174. Sat Sep 22 16:40:37 2018 7 relations: 153093
  175. Sat Sep 22 16:40:37 2018 8 relations: 144397
  176. Sat Sep 22 16:40:37 2018 9 relations: 133203
  177. Sat Sep 22 16:40:37 2018 10+ relations: 584351
  178. Sat Sep 22 16:40:37 2018 heaviest cycle: 24 relations
  179. Sat Sep 22 16:40:39 2018 RelProcTime: 1285
  180. Sat Sep 22 16:40:39 2018
  181. Sat Sep 22 16:40:39 2018 commencing linear algebra
  182. Sat Sep 22 16:40:39 2018 read 1752623 cycles
  183. Sat Sep 22 16:40:42 2018 cycles contain 5741973 unique relations
  184. Sat Sep 22 16:41:24 2018 read 5741973 relations
  185. Sat Sep 22 16:41:31 2018 using 20 quadratic characters above 4294917295
  186. Sat Sep 22 16:41:56 2018 building initial matrix
  187. Sat Sep 22 16:42:58 2018 memory use: 772.7 MB
  188. Sat Sep 22 16:42:59 2018 read 1752623 cycles
  189. Sat Sep 22 16:42:59 2018 matrix is 1752443 x 1752623 (763.6 MB) with weight 232218917 (132.50/col)
  190. Sat Sep 22 16:42:59 2018 sparse part has weight 179138719 (102.21/col)
  191. Sat Sep 22 16:43:16 2018 filtering completed in 2 passes
  192. Sat Sep 22 16:43:16 2018 matrix is 1752308 x 1752488 (763.6 MB) with weight 232210430 (132.50/col)
  193. Sat Sep 22 16:43:16 2018 sparse part has weight 179134425 (102.22/col)
  194. Sat Sep 22 16:43:20 2018 matrix starts at (0, 0)
  195. Sat Sep 22 16:43:20 2018 matrix is 1752308 x 1752488 (763.6 MB) with weight 232210430 (132.50/col)
  196. Sat Sep 22 16:43:20 2018 sparse part has weight 179134425 (102.22/col)
  197. Sat Sep 22 16:43:20 2018 saving the first 48 matrix rows for later
  198. Sat Sep 22 16:43:20 2018 matrix includes 64 packed rows
  199. Sat Sep 22 16:43:21 2018 matrix is 1752260 x 1752488 (737.6 MB) with weight 196887340 (112.35/col)
  200. Sat Sep 22 16:43:21 2018 sparse part has weight 175842473 (100.34/col)
  201. Sat Sep 22 16:43:21 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  202. Sat Sep 22 16:43:30 2018 commencing Lanczos iteration (8 threads)
  203. Sat Sep 22 16:43:30 2018 memory use: 599.5 MB
  204. Sat Sep 22 16:43:35 2018 linear algebra at 0.1%, ETA 1h36m
  205. Sat Sep 22 16:43:37 2018 checkpointing every 1040000 dimensions
  206. Sat Sep 22 18:20:56 2018 lanczos halted after 27711 iterations (dim = 1752259)
  207. Sat Sep 22 18:20:58 2018 recovered 29 nontrivial dependencies
  208. Sat Sep 22 18:20:59 2018 BLanczosTime: 6020
  209. Sat Sep 22 18:20:59 2018
  210. Sat Sep 22 18:20:59 2018 commencing square root phase
  211. Sat Sep 22 18:20:59 2018 handling dependencies 1 to 64
  212. Sat Sep 22 18:20:59 2018 reading relations for dependency 1
  213. Sat Sep 22 18:20:59 2018 read 875979 cycles
  214. Sat Sep 22 18:21:01 2018 cycles contain 2870262 unique relations
  215. Sat Sep 22 18:21:37 2018 read 2870262 relations
  216. Sat Sep 22 18:21:52 2018 multiplying 2870262 relations
  217. Sat Sep 22 18:24:59 2018 multiply complete, coefficients have about 149.99 million bits
  218. Sat Sep 22 18:25:00 2018 initial square root is modulo 241517
  219. Sat Sep 22 18:28:38 2018 GCD is N, no factor found
  220. Sat Sep 22 18:28:38 2018 reading relations for dependency 2
  221. Sat Sep 22 18:28:39 2018 read 876185 cycles
  222. Sat Sep 22 18:28:40 2018 cycles contain 2871484 unique relations
  223. Sat Sep 22 18:29:13 2018 read 2871484 relations
  224. Sat Sep 22 18:29:27 2018 multiplying 2871484 relations
  225. Sat Sep 22 18:32:29 2018 multiply complete, coefficients have about 150.06 million bits
  226. Sat Sep 22 18:32:30 2018 initial square root is modulo 242927
  227. Sat Sep 22 18:36:12 2018 sqrtTime: 913
  228. Sat Sep 22 18:36:12 2018 p55 factor: 1565589836995422409220477099916676646341553343605589277
  229. Sat Sep 22 18:36:12 2018 p90 factor: 169153719989977023359451166718477659175404254417255189931579320630910230034975955117048569
  230. Sat Sep 22 18:36:12 2018 elapsed time 02:16:59
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