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debrouxl

99989_225

May 31st, 2016
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  1. Tue Sep 29 11:12:54 2015
  2. Tue Sep 29 11:12:54 2015
  3. Tue Sep 29 11:12:54 2015 Msieve v. 1.53 (SVN 988)
  4. Tue Sep 29 11:12:54 2015 random seeds: d33d29bb b57f95a2
  5. Tue Sep 29 11:12:54 2015 factoring 70358122845282487863223809188770843593892914937029480053472173362414690776050094983465841131358615352142404840638851755435164989798072187434039259832547667628227678885527334130725392246534862449869837472736227397453035953 (221 digits)
  6. Tue Sep 29 11:12:55 2015 no P-1/P+1/ECM available, skipping
  7. Tue Sep 29 11:12:55 2015 commencing number field sieve (221-digit input)
  8. Tue Sep 29 11:12:55 2015 R0: -10000000000000000000000000000000000000
  9. Tue Sep 29 11:12:55 2015 R1: 1
  10. Tue Sep 29 11:12:55 2015 A0: -11
  11. Tue Sep 29 11:12:55 2015 A1: 0
  12. Tue Sep 29 11:12:55 2015 A2: 0
  13. Tue Sep 29 11:12:55 2015 A3: 0
  14. Tue Sep 29 11:12:55 2015 A4: 0
  15. Tue Sep 29 11:12:55 2015 A5: 0
  16. Tue Sep 29 11:12:55 2015 A6: 1000
  17. Tue Sep 29 11:12:55 2015 skew 1.00, size 2.948e-11, alpha -0.178, combined = 1.390e-12 rroots = 2
  18. Tue Sep 29 11:12:55 2015
  19. Tue Sep 29 11:12:55 2015 commencing relation filtering
  20. Tue Sep 29 11:12:55 2015 setting target matrix density to 100.0
  21. Tue Sep 29 11:12:55 2015 estimated available RAM is 7943.1 MB
  22. Tue Sep 29 11:12:55 2015 commencing duplicate removal, pass 1
  23. Tue Sep 29 11:19:43 2015 error -1 reading relation 36716940
  24. Tue Sep 29 11:20:54 2015 error -5 reading relation 43315390
  25. Tue Sep 29 11:20:54 2015 error -5 reading relation 43315636
  26. Tue Sep 29 11:20:55 2015 error -9 reading relation 43358095
  27. Tue Sep 29 11:20:55 2015 error -15 reading relation 43358370
  28. Tue Sep 29 11:24:38 2015 error -5 reading relation 63897187
  29. Tue Sep 29 11:25:07 2015 error -1 reading relation 66591177
  30. Tue Sep 29 11:25:53 2015 error -9 reading relation 70898968
  31. Tue Sep 29 11:26:37 2015 error -15 reading relation 75079054
  32. Tue Sep 29 11:27:38 2015 error -11 reading relation 80733912
  33. Tue Sep 29 11:29:14 2015 error -9 reading relation 89639929
  34. Tue Sep 29 11:29:18 2015 error -9 reading relation 90008172
  35. Tue Sep 29 11:29:42 2015 error -11 reading relation 92317846
  36. Tue Sep 29 11:29:42 2015 error -15 reading relation 92319245
  37. Tue Sep 29 11:29:42 2015 error -15 reading relation 92322930
  38. Tue Sep 29 11:29:44 2015 error -11 reading relation 92539226
  39. Tue Sep 29 11:30:02 2015 error -1 reading relation 94284507
  40. Tue Sep 29 11:31:17 2015 error -9 reading relation 101740666
  41. Tue Sep 29 11:31:33 2015 error -9 reading relation 103262568
  42. Tue Sep 29 11:32:13 2015 error -1 reading relation 107165794
  43. Tue Sep 29 11:32:26 2015 error -5 reading relation 108447483
  44. Tue Sep 29 11:32:26 2015 error -15 reading relation 108454967
  45. Tue Sep 29 11:32:44 2015 error -5 reading relation 110342254
  46. Tue Sep 29 11:32:45 2015 error -9 reading relation 110414355
  47. Tue Sep 29 11:33:05 2015 error -15 reading relation 112360062
  48. Tue Sep 29 11:33:23 2015 error -1 reading relation 114046493
  49. Tue Sep 29 11:34:33 2015 error -9 reading relation 120268845
  50. Tue Sep 29 11:34:40 2015 error -5 reading relation 120929709
  51. Tue Sep 29 11:34:40 2015 error -15 reading relation 120956007
  52. Tue Sep 29 11:35:14 2015 error -15 reading relation 124152202
  53. Tue Sep 29 11:36:10 2015 skipped 37 relations with b > 2^32
  54. Tue Sep 29 11:36:10 2015 skipped 20 relations with composite factors
  55. Tue Sep 29 11:36:10 2015 found 22202664 hash collisions in 129063321 relations
  56. Tue Sep 29 11:36:21 2015 commencing duplicate removal, pass 2
  57. Tue Sep 29 11:38:47 2015 found 20073561 duplicates and 108989760 unique relations
  58. Tue Sep 29 11:38:47 2015 memory use: 660.8 MB
  59. Tue Sep 29 11:38:47 2015 reading ideals above 79888384
  60. Tue Sep 29 11:38:47 2015 commencing singleton removal, initial pass
  61. Tue Sep 29 11:55:34 2015 memory use: 2756.0 MB
  62. Tue Sep 29 11:55:35 2015 reading all ideals from disk
  63. Tue Sep 29 11:55:53 2015 memory use: 1826.3 MB
  64. Tue Sep 29 11:55:57 2015 commencing in-memory singleton removal
  65. Tue Sep 29 11:56:00 2015 begin with 108989760 relations and 83570538 unique ideals
  66. Tue Sep 29 11:56:34 2015 reduce to 77124281 relations and 48907590 ideals in 11 passes
  67. Tue Sep 29 11:56:34 2015 max relations containing the same ideal: 52
  68. Tue Sep 29 11:56:37 2015 reading ideals above 720000
  69. Tue Sep 29 11:56:37 2015 commencing singleton removal, initial pass
  70. Tue Sep 29 12:10:37 2015 memory use: 1506.0 MB
  71. Tue Sep 29 12:10:37 2015 reading all ideals from disk
  72. Tue Sep 29 12:11:13 2015 memory use: 2878.1 MB
  73. Tue Sep 29 12:11:20 2015 keeping 57832982 ideals with weight <= 200, target excess is 396622
  74. Tue Sep 29 12:11:27 2015 commencing in-memory singleton removal
  75. Tue Sep 29 12:11:33 2015 begin with 77124281 relations and 57832982 unique ideals
  76. Tue Sep 29 12:12:09 2015 reduce to 77123293 relations and 57831994 ideals in 6 passes
  77. Tue Sep 29 12:12:09 2015 max relations containing the same ideal: 200
  78. Tue Sep 29 12:12:38 2015 removing 8051988 relations and 6051988 ideals in 2000000 cliques
  79. Tue Sep 29 12:12:40 2015 commencing in-memory singleton removal
  80. Tue Sep 29 12:12:45 2015 begin with 69071305 relations and 57831994 unique ideals
  81. Tue Sep 29 12:13:23 2015 reduce to 68395065 relations and 51082282 ideals in 7 passes
  82. Tue Sep 29 12:13:23 2015 max relations containing the same ideal: 192
  83. Tue Sep 29 12:13:50 2015 removing 6458603 relations and 4458603 ideals in 2000000 cliques
  84. Tue Sep 29 12:13:52 2015 commencing in-memory singleton removal
  85. Tue Sep 29 12:13:57 2015 begin with 61936462 relations and 51082282 unique ideals
  86. Tue Sep 29 12:14:29 2015 reduce to 61467523 relations and 46141079 ideals in 7 passes
  87. Tue Sep 29 12:14:29 2015 max relations containing the same ideal: 182
  88. Tue Sep 29 12:14:53 2015 removing 6009470 relations and 4009470 ideals in 2000000 cliques
  89. Tue Sep 29 12:14:55 2015 commencing in-memory singleton removal
  90. Tue Sep 29 12:14:59 2015 begin with 55458053 relations and 46141079 unique ideals
  91. Tue Sep 29 12:15:24 2015 reduce to 55039121 relations and 41699899 ideals in 6 passes
  92. Tue Sep 29 12:15:24 2015 max relations containing the same ideal: 173
  93. Tue Sep 29 12:15:46 2015 removing 5780566 relations and 3780566 ideals in 2000000 cliques
  94. Tue Sep 29 12:15:48 2015 commencing in-memory singleton removal
  95. Tue Sep 29 12:15:51 2015 begin with 49258555 relations and 41699899 unique ideals
  96. Tue Sep 29 12:16:17 2015 reduce to 48854114 relations and 37501688 ideals in 7 passes
  97. Tue Sep 29 12:16:17 2015 max relations containing the same ideal: 159
  98. Tue Sep 29 12:16:36 2015 removing 5635912 relations and 3635912 ideals in 2000000 cliques
  99. Tue Sep 29 12:16:38 2015 commencing in-memory singleton removal
  100. Tue Sep 29 12:16:41 2015 begin with 43218202 relations and 37501688 unique ideals
  101. Tue Sep 29 12:17:03 2015 reduce to 42808479 relations and 33441404 ideals in 7 passes
  102. Tue Sep 29 12:17:03 2015 max relations containing the same ideal: 145
  103. Tue Sep 29 12:17:20 2015 removing 5542385 relations and 3542385 ideals in 2000000 cliques
  104. Tue Sep 29 12:17:22 2015 commencing in-memory singleton removal
  105. Tue Sep 29 12:17:25 2015 begin with 37266094 relations and 33441404 unique ideals
  106. Tue Sep 29 12:17:46 2015 reduce to 36838136 relations and 29453747 ideals in 8 passes
  107. Tue Sep 29 12:17:46 2015 max relations containing the same ideal: 129
  108. Tue Sep 29 12:18:01 2015 removing 5471719 relations and 3471719 ideals in 2000000 cliques
  109. Tue Sep 29 12:18:03 2015 commencing in-memory singleton removal
  110. Tue Sep 29 12:18:05 2015 begin with 31366417 relations and 29453747 unique ideals
  111. Tue Sep 29 12:18:20 2015 reduce to 30905514 relations and 25500027 ideals in 7 passes
  112. Tue Sep 29 12:18:20 2015 max relations containing the same ideal: 116
  113. Tue Sep 29 12:18:33 2015 removing 5414734 relations and 3414734 ideals in 2000000 cliques
  114. Tue Sep 29 12:18:35 2015 commencing in-memory singleton removal
  115. Tue Sep 29 12:18:36 2015 begin with 25490780 relations and 25500027 unique ideals
  116. Tue Sep 29 12:18:49 2015 reduce to 24978170 relations and 21545313 ideals in 7 passes
  117. Tue Sep 29 12:18:49 2015 max relations containing the same ideal: 98
  118. Tue Sep 29 12:18:59 2015 removing 5350257 relations and 3350257 ideals in 2000000 cliques
  119. Tue Sep 29 12:19:00 2015 commencing in-memory singleton removal
  120. Tue Sep 29 12:19:02 2015 begin with 19627913 relations and 21545313 unique ideals
  121. Tue Sep 29 12:19:11 2015 reduce to 19026161 relations and 17553526 ideals in 7 passes
  122. Tue Sep 29 12:19:11 2015 max relations containing the same ideal: 84
  123. Tue Sep 29 12:19:19 2015 removing 2988842 relations and 1976289 ideals in 1012553 cliques
  124. Tue Sep 29 12:19:20 2015 commencing in-memory singleton removal
  125. Tue Sep 29 12:19:21 2015 begin with 16037319 relations and 17553526 unique ideals
  126. Tue Sep 29 12:19:28 2015 reduce to 15719363 relations and 15243930 ideals in 7 passes
  127. Tue Sep 29 12:19:28 2015 max relations containing the same ideal: 73
  128. Tue Sep 29 12:19:35 2015 removing 87035 relations and 71684 ideals in 15351 cliques
  129. Tue Sep 29 12:19:35 2015 commencing in-memory singleton removal
  130. Tue Sep 29 12:19:36 2015 begin with 15632328 relations and 15243930 unique ideals
  131. Tue Sep 29 12:19:42 2015 reduce to 15631951 relations and 15171869 ideals in 5 passes
  132. Tue Sep 29 12:19:42 2015 max relations containing the same ideal: 73
  133. Tue Sep 29 12:19:44 2015 relations with 0 large ideals: 14589
  134. Tue Sep 29 12:19:44 2015 relations with 1 large ideals: 6901
  135. Tue Sep 29 12:19:44 2015 relations with 2 large ideals: 76145
  136. Tue Sep 29 12:19:44 2015 relations with 3 large ideals: 490700
  137. Tue Sep 29 12:19:44 2015 relations with 4 large ideals: 1677673
  138. Tue Sep 29 12:19:44 2015 relations with 5 large ideals: 3378469
  139. Tue Sep 29 12:19:44 2015 relations with 6 large ideals: 4207746
  140. Tue Sep 29 12:19:44 2015 relations with 7+ large ideals: 5779728
  141. Tue Sep 29 12:19:44 2015 commencing 2-way merge
  142. Tue Sep 29 12:19:52 2015 reduce to 10842180 relation sets and 10382098 unique ideals
  143. Tue Sep 29 12:19:52 2015 commencing full merge
  144. Tue Sep 29 12:23:07 2015 memory use: 1364.7 MB
  145. Tue Sep 29 12:23:08 2015 found 5170487 cycles, need 5118298
  146. Tue Sep 29 12:23:09 2015 weight of 5118298 cycles is about 511839144 (100.00/cycle)
  147. Tue Sep 29 12:23:09 2015 distribution of cycle lengths:
  148. Tue Sep 29 12:23:09 2015 1 relations: 179115
  149. Tue Sep 29 12:23:09 2015 2 relations: 332053
  150. Tue Sep 29 12:23:09 2015 3 relations: 421863
  151. Tue Sep 29 12:23:09 2015 4 relations: 457783
  152. Tue Sep 29 12:23:09 2015 5 relations: 477686
  153. Tue Sep 29 12:23:09 2015 6 relations: 472018
  154. Tue Sep 29 12:23:09 2015 7 relations: 449120
  155. Tue Sep 29 12:23:09 2015 8 relations: 410973
  156. Tue Sep 29 12:23:09 2015 9 relations: 364746
  157. Tue Sep 29 12:23:09 2015 10+ relations: 1552941
  158. Tue Sep 29 12:23:09 2015 heaviest cycle: 26 relations
  159. Tue Sep 29 12:23:11 2015 commencing cycle optimization
  160. Tue Sep 29 12:23:19 2015 start with 39389991 relations
  161. Tue Sep 29 12:24:31 2015 pruned 1816616 relations
  162. Tue Sep 29 12:24:32 2015 memory use: 1062.4 MB
  163. Tue Sep 29 12:24:32 2015 distribution of cycle lengths:
  164. Tue Sep 29 12:24:32 2015 1 relations: 179115
  165. Tue Sep 29 12:24:32 2015 2 relations: 340933
  166. Tue Sep 29 12:24:32 2015 3 relations: 441773
  167. Tue Sep 29 12:24:32 2015 4 relations: 479062
  168. Tue Sep 29 12:24:32 2015 5 relations: 504944
  169. Tue Sep 29 12:24:32 2015 6 relations: 497598
  170. Tue Sep 29 12:24:32 2015 7 relations: 473890
  171. Tue Sep 29 12:24:32 2015 8 relations: 428508
  172. Tue Sep 29 12:24:32 2015 9 relations: 377223
  173. Tue Sep 29 12:24:32 2015 10+ relations: 1395252
  174. Tue Sep 29 12:24:32 2015 heaviest cycle: 26 relations
  175. Tue Sep 29 12:24:39 2015 RelProcTime: 4304
  176. Tue Sep 29 12:24:39 2015
  177. Tue Sep 29 12:24:39 2015 commencing linear algebra
  178. Tue Sep 29 12:24:40 2015 read 5118298 cycles
  179. Tue Sep 29 12:24:49 2015 cycles contain 15423497 unique relations
  180. Tue Sep 29 12:28:23 2015 read 15423497 relations
  181. Tue Sep 29 12:28:42 2015 using 20 quadratic characters above 4294917295
  182. Tue Sep 29 12:29:42 2015 building initial matrix
  183. Tue Sep 29 12:32:20 2015 memory use: 2008.4 MB
  184. Tue Sep 29 12:32:23 2015 read 5118298 cycles
  185. Tue Sep 29 12:32:24 2015 matrix is 5118121 x 5118298 (2043.7 MB) with weight 608999458 (118.98/col)
  186. Tue Sep 29 12:32:24 2015 sparse part has weight 479449544 (93.67/col)
  187. Tue Sep 29 12:33:12 2015 filtering completed in 2 passes
  188. Tue Sep 29 12:33:13 2015 matrix is 5117857 x 5118034 (2043.7 MB) with weight 608988866 (118.99/col)
  189. Tue Sep 29 12:33:13 2015 sparse part has weight 479445374 (93.68/col)
  190. Tue Sep 29 12:33:46 2015 matrix starts at (0, 0)
  191. Tue Sep 29 12:33:47 2015 matrix is 5117857 x 5118034 (2043.7 MB) with weight 608988866 (118.99/col)
  192. Tue Sep 29 12:33:47 2015 sparse part has weight 479445374 (93.68/col)
  193. Tue Sep 29 12:33:47 2015 saving the first 48 matrix rows for later
  194. Tue Sep 29 12:33:47 2015 matrix includes 64 packed rows
  195. Tue Sep 29 12:33:48 2015 matrix is 5117809 x 5118034 (1973.1 MB) with weight 511448874 (99.93/col)
  196. Tue Sep 29 12:33:48 2015 sparse part has weight 466047798 (91.06/col)
  197. Tue Sep 29 12:33:48 2015 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  198. Tue Sep 29 12:34:05 2015 commencing Lanczos iteration (4 threads)
  199. Tue Sep 29 12:34:05 2015 memory use: 1646.4 MB
  200. Tue Sep 29 12:34:30 2015 linear algebra at 0.0%, ETA 22h31m
  201. Tue Sep 29 12:34:38 2015 checkpointing every 230000 dimensions
  202. Wed Sep 30 04:51:47 2015 lanczos halted after 80932 iterations (dim = 5117809)
  203. Wed Sep 30 04:51:52 2015 recovered 37 nontrivial dependencies
  204. Wed Sep 30 04:51:52 2015 BLanczosTime: 59233
  205. Wed Sep 30 04:51:52 2015
  206. Wed Sep 30 04:51:52 2015 commencing square root phase
  207. Wed Sep 30 04:51:52 2015 handling dependencies 1 to 64
  208. Wed Sep 30 04:51:52 2015 reading relations for dependency 1
  209. Wed Sep 30 04:51:55 2015 read 2558828 cycles
  210. Wed Sep 30 04:51:59 2015 cycles contain 7714556 unique relations
  211. Wed Sep 30 04:54:42 2015 read 7714556 relations
  212. Wed Sep 30 04:55:21 2015 multiplying 7714556 relations
  213. Wed Sep 30 05:01:20 2015 multiply complete, coefficients have about 260.90 million bits
  214. Wed Sep 30 05:01:21 2015 initial square root is modulo 2306984509
  215. Wed Sep 30 05:08:24 2015 GCD is N, no factor found
  216. Wed Sep 30 05:08:24 2015 reading relations for dependency 2
  217. Wed Sep 30 05:08:27 2015 read 2558971 cycles
  218. Wed Sep 30 05:08:31 2015 cycles contain 7711174 unique relations
  219. Wed Sep 30 05:11:14 2015 read 7711174 relations
  220. Wed Sep 30 05:11:51 2015 multiplying 7711174 relations
  221. Wed Sep 30 05:17:57 2015 multiply complete, coefficients have about 260.79 million bits
  222. Wed Sep 30 05:17:57 2015 initial square root is modulo 2285353957
  223. Wed Sep 30 05:25:02 2015 sqrtTime: 1990
  224. Wed Sep 30 05:25:02 2015 p69 factor: 705809627902998742566901482546047928607037157798356825805555093730663
  225. Wed Sep 30 05:25:02 2015 p152 factor: 99684277549911784614923452639366306767540517746577162107282885957754989968204894682577673714570949584479158531111461277663004341648009653706104875585831
  226. Wed Sep 30 05:25:02 2015 elapsed time 18:12:08
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