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4001_67_minus1

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Dec 17th, 2015
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  1. Mon Dec 14 10:31:09 2015
  2. Mon Dec 14 10:31:09 2015
  3. Mon Dec 14 10:31:09 2015 Msieve v. 1.53 (SVN 984)
  4. Mon Dec 14 10:31:09 2015 random seeds: a9dbc66d 7fd5b17f
  5. Mon Dec 14 10:31:09 2015 factoring 20581672866328976014675779541060848103228663951952998071030717801244513378543716932703216314174933156459200260759322710021174349254833934965439205467736144225868954188240419604691436848358356354691580890189188677101461833126183964642543 (236 digits)
  6. Mon Dec 14 10:31:09 2015 commencing number field sieve (236-digit input)
  7. Mon Dec 14 10:31:09 2015 R0: -4205852764738848612825172490560880044001
  8. Mon Dec 14 10:31:09 2015 R1: 1
  9. Mon Dec 14 10:31:09 2015 A0: -1
  10. Mon Dec 14 10:31:09 2015 A1: 0
  11. Mon Dec 14 10:31:09 2015 A2: 0
  12. Mon Dec 14 10:31:09 2015 A3: 0
  13. Mon Dec 14 10:31:09 2015 A4: 0
  14. Mon Dec 14 10:31:09 2015 A5: 0
  15. Mon Dec 14 10:31:09 2015 A6: 4001
  16. Mon Dec 14 10:31:09 2015 skew 1.00, size 5.187e-12, alpha 0.052, combined = 3.734e-13 rroots = 2
  17. Mon Dec 14 10:31:09 2015
  18. Mon Dec 14 10:31:09 2015 commencing relation filtering
  19. Mon Dec 14 10:31:09 2015 setting target matrix density to 120.0
  20. Mon Dec 14 10:31:09 2015 estimated available RAM is 32091.8 MB
  21. Mon Dec 14 10:31:09 2015 commencing duplicate removal, pass 1
  22. Mon Dec 14 10:32:15 2015 error -15 reading relation 6577434
  23. Mon Dec 14 10:32:15 2015 error -9 reading relation 6579929
  24. Mon Dec 14 10:32:15 2015 error -9 reading relation 6590452
  25. Mon Dec 14 10:34:00 2015 error -1 reading relation 17437331
  26. Mon Dec 14 10:34:04 2015 error -1 reading relation 17814997
  27. Mon Dec 14 10:34:04 2015 error -1 reading relation 17814998
  28. Mon Dec 14 10:34:04 2015 error -1 reading relation 17814999
  29. Mon Dec 14 10:34:04 2015 error -5 reading relation 17815000
  30. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815001
  31. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815002
  32. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815003
  33. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815004
  34. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815005
  35. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815006
  36. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815007
  37. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815008
  38. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815009
  39. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815010
  40. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815011
  41. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815012
  42. Mon Dec 14 10:34:04 2015 error -5 reading relation 17815013
  43. Mon Dec 14 10:34:04 2015 error -5 reading relation 17815014
  44. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815015
  45. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815016
  46. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815017
  47. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815018
  48. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815019
  49. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815020
  50. Mon Dec 14 10:34:04 2015 error -5 reading relation 17815021
  51. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815022
  52. Mon Dec 14 10:34:04 2015 error -1 reading relation 17815023
  53. Mon Dec 14 10:34:11 2015 error -9 reading relation 18558985
  54. Mon Dec 14 10:34:43 2015 error -9 reading relation 21889528
  55. Mon Dec 14 10:36:44 2015 error -9 reading relation 34211273
  56. Mon Dec 14 10:38:11 2015 error -15 reading relation 43099954
  57. Mon Dec 14 10:39:26 2015 error -9 reading relation 50791138
  58. Mon Dec 14 10:39:29 2015 error -1 reading relation 51118604
  59. Mon Dec 14 10:40:08 2015 error -5 reading relation 54995103
  60. Mon Dec 14 10:40:08 2015 error -9 reading relation 54997876
  61. Mon Dec 14 10:42:25 2015 error -9 reading relation 68743463
  62. Mon Dec 14 10:42:31 2015 error -9 reading relation 69323293
  63. Mon Dec 14 10:42:32 2015 error -15 reading relation 69421548
  64. Mon Dec 14 10:42:58 2015 error -15 reading relation 72107577
  65. Mon Dec 14 10:43:29 2015 error -1 reading relation 75223565
  66. Mon Dec 14 10:43:42 2015 error -5 reading relation 76529628
  67. Mon Dec 14 10:44:46 2015 error -15 reading relation 82873638
  68. Mon Dec 14 10:44:47 2015 error -9 reading relation 82893613
  69. Mon Dec 14 10:44:47 2015 error -9 reading relation 82896531
  70. Mon Dec 14 10:44:47 2015 error -1 reading relation 82897398
  71. Mon Dec 14 10:44:57 2015 error -5 reading relation 83890927
  72. Mon Dec 14 10:44:57 2015 error -11 reading relation 83892413
  73. Mon Dec 14 10:44:57 2015 error -5 reading relation 83892651
  74. Mon Dec 14 10:46:36 2015 error -9 reading relation 93882935
  75. Mon Dec 14 10:46:44 2015 error -5 reading relation 94732104
  76. Mon Dec 14 10:46:46 2015 error -9 reading relation 94882653
  77. Mon Dec 14 10:47:03 2015 error -9 reading relation 96618096
  78. Mon Dec 14 10:47:04 2015 error -9 reading relation 96711779
  79. Mon Dec 14 10:47:36 2015 error -15 reading relation 100078923
  80. Mon Dec 14 10:47:57 2015 error -9 reading relation 102209058
  81. Mon Dec 14 10:48:15 2015 error -1 reading relation 104063009
  82. Mon Dec 14 10:48:15 2015 error -9 reading relation 104101665
  83. Mon Dec 14 10:48:23 2015 error -1 reading relation 104899757
  84. Mon Dec 14 10:48:32 2015 error -9 reading relation 105861582
  85. Mon Dec 14 10:48:45 2015 error -9 reading relation 107219893
  86. Mon Dec 14 10:49:01 2015 error -15 reading relation 108915652
  87. Mon Dec 14 10:49:07 2015 error -5 reading relation 109481500
  88. Mon Dec 14 10:49:18 2015 error -9 reading relation 110710410
  89. Mon Dec 14 10:49:47 2015 error -9 reading relation 113678865
  90. Mon Dec 14 10:49:47 2015 error -9 reading relation 113750497
  91. Mon Dec 14 10:49:48 2015 skipped 193 relations with b > 2^32
  92. Mon Dec 14 10:49:48 2015 skipped 34 relations with composite factors
  93. Mon Dec 14 10:49:48 2015 found 24852184 hash collisions in 113884168 relations
  94. Mon Dec 14 10:50:08 2015 added 1217193 free relations
  95. Mon Dec 14 10:50:08 2015 commencing duplicate removal, pass 2
  96. Mon Dec 14 10:51:10 2015 found 25804642 duplicates and 89296719 unique relations
  97. Mon Dec 14 10:51:10 2015 memory use: 660.8 MB
  98. Mon Dec 14 10:51:10 2015 reading ideals above 720000
  99. Mon Dec 14 10:51:10 2015 commencing singleton removal, initial pass
  100. Mon Dec 14 11:06:30 2015 memory use: 2756.0 MB
  101. Mon Dec 14 11:06:30 2015 reading all ideals from disk
  102. Mon Dec 14 11:06:34 2015 memory use: 3436.8 MB
  103. Mon Dec 14 11:06:50 2015 keeping 88872729 ideals with weight <= 200, target excess is 471499
  104. Mon Dec 14 11:07:08 2015 commencing in-memory singleton removal
  105. Mon Dec 14 11:07:19 2015 begin with 89296719 relations and 88872729 unique ideals
  106. Mon Dec 14 11:08:58 2015 reduce to 51741057 relations and 46848067 ideals in 16 passes
  107. Mon Dec 14 11:08:58 2015 max relations containing the same ideal: 144
  108. Mon Dec 14 11:09:25 2015 removing 6048310 relations and 5048310 ideals in 1000000 cliques
  109. Mon Dec 14 11:09:27 2015 commencing in-memory singleton removal
  110. Mon Dec 14 11:09:31 2015 begin with 45692747 relations and 46848067 unique ideals
  111. Mon Dec 14 11:10:04 2015 reduce to 45142686 relations and 41235981 ideals in 8 passes
  112. Mon Dec 14 11:10:04 2015 max relations containing the same ideal: 133
  113. Mon Dec 14 11:10:27 2015 removing 4623809 relations and 3623809 ideals in 1000000 cliques
  114. Mon Dec 14 11:10:29 2015 commencing in-memory singleton removal
  115. Mon Dec 14 11:10:33 2015 begin with 40518877 relations and 41235981 unique ideals
  116. Mon Dec 14 11:11:05 2015 reduce to 40163930 relations and 37249192 ideals in 8 passes
  117. Mon Dec 14 11:11:05 2015 max relations containing the same ideal: 124
  118. Mon Dec 14 11:11:28 2015 removing 4171902 relations and 3171902 ideals in 1000000 cliques
  119. Mon Dec 14 11:11:30 2015 commencing in-memory singleton removal
  120. Mon Dec 14 11:11:34 2015 begin with 35992028 relations and 37249192 unique ideals
  121. Mon Dec 14 11:12:07 2015 reduce to 35669784 relations and 33747456 ideals in 8 passes
  122. Mon Dec 14 11:12:07 2015 max relations containing the same ideal: 118
  123. Mon Dec 14 11:12:30 2015 removing 3939134 relations and 2939134 ideals in 1000000 cliques
  124. Mon Dec 14 11:12:31 2015 commencing in-memory singleton removal
  125. Mon Dec 14 11:12:34 2015 begin with 31730650 relations and 33747456 unique ideals
  126. Mon Dec 14 11:12:58 2015 reduce to 31409845 relations and 30479502 ideals in 8 passes
  127. Mon Dec 14 11:12:58 2015 max relations containing the same ideal: 109
  128. Mon Dec 14 11:13:16 2015 removing 1765810 relations and 1382406 ideals in 383404 cliques
  129. Mon Dec 14 11:13:17 2015 commencing in-memory singleton removal
  130. Mon Dec 14 11:13:19 2015 begin with 29644035 relations and 30479502 unique ideals
  131. Mon Dec 14 11:13:35 2015 reduce to 29575724 relations and 29028060 ideals in 6 passes
  132. Mon Dec 14 11:13:35 2015 max relations containing the same ideal: 106
  133. Mon Dec 14 11:13:58 2015 relations with 0 large ideals: 17646
  134. Mon Dec 14 11:13:58 2015 relations with 1 large ideals: 6161
  135. Mon Dec 14 11:13:58 2015 relations with 2 large ideals: 74772
  136. Mon Dec 14 11:13:58 2015 relations with 3 large ideals: 537717
  137. Mon Dec 14 11:13:58 2015 relations with 4 large ideals: 2132290
  138. Mon Dec 14 11:13:58 2015 relations with 5 large ideals: 5106067
  139. Mon Dec 14 11:13:58 2015 relations with 6 large ideals: 7650020
  140. Mon Dec 14 11:13:58 2015 relations with 7+ large ideals: 14051051
  141. Mon Dec 14 11:13:58 2015 commencing 2-way merge
  142. Mon Dec 14 11:14:20 2015 reduce to 19874633 relation sets and 19326969 unique ideals
  143. Mon Dec 14 11:14:20 2015 commencing full merge
  144. Mon Dec 14 11:24:37 2015 memory use: 2501.3 MB
  145. Mon Dec 14 11:24:40 2015 found 8795709 cycles, need 8793169
  146. Mon Dec 14 11:24:43 2015 weight of 8793169 cycles is about 1055733424 (120.06/cycle)
  147. Mon Dec 14 11:24:43 2015 distribution of cycle lengths:
  148. Mon Dec 14 11:24:43 2015 1 relations: 347610
  149. Mon Dec 14 11:24:43 2015 2 relations: 547087
  150. Mon Dec 14 11:24:43 2015 3 relations: 653898
  151. Mon Dec 14 11:24:43 2015 4 relations: 671611
  152. Mon Dec 14 11:24:43 2015 5 relations: 676068
  153. Mon Dec 14 11:24:43 2015 6 relations: 648139
  154. Mon Dec 14 11:24:43 2015 7 relations: 621741
  155. Mon Dec 14 11:24:43 2015 8 relations: 579604
  156. Mon Dec 14 11:24:43 2015 9 relations: 539901
  157. Mon Dec 14 11:24:43 2015 10+ relations: 3507510
  158. Mon Dec 14 11:24:43 2015 heaviest cycle: 28 relations
  159. Mon Dec 14 11:24:47 2015 commencing cycle optimization
  160. Mon Dec 14 11:25:09 2015 start with 78761981 relations
  161. Mon Dec 14 11:29:02 2015 pruned 3553229 relations
  162. Mon Dec 14 11:29:02 2015 memory use: 2044.0 MB
  163. Mon Dec 14 11:29:02 2015 distribution of cycle lengths:
  164. Mon Dec 14 11:29:02 2015 1 relations: 347610
  165. Mon Dec 14 11:29:02 2015 2 relations: 562039
  166. Mon Dec 14 11:29:02 2015 3 relations: 683724
  167. Mon Dec 14 11:29:02 2015 4 relations: 701113
  168. Mon Dec 14 11:29:02 2015 5 relations: 709986
  169. Mon Dec 14 11:29:02 2015 6 relations: 677494
  170. Mon Dec 14 11:29:02 2015 7 relations: 650212
  171. Mon Dec 14 11:29:02 2015 8 relations: 603354
  172. Mon Dec 14 11:29:02 2015 9 relations: 559962
  173. Mon Dec 14 11:29:02 2015 10+ relations: 3297675
  174. Mon Dec 14 11:29:02 2015 heaviest cycle: 28 relations
  175. Mon Dec 14 11:29:23 2015 RelProcTime: 3494
  176. Mon Dec 14 11:29:23 2015 elapsed time 00:58:14
  177. Mon Dec 14 14:39:42 2015
  178. Mon Dec 14 14:39:42 2015
  179. Mon Dec 14 14:39:42 2015 Msieve v. 1.53 (SVN 984)
  180. Mon Dec 14 14:39:42 2015 random seeds: 8f9c7965 63cb4529
  181. Mon Dec 14 14:39:42 2015 factoring 20581672866328976014675779541060848103228663951952998071030717801244513378543716932703216314174933156459200260759322710021174349254833934965439205467736144225868954188240419604691436848358356354691580890189188677101461833126183964642543 (236 digits)
  182. Mon Dec 14 14:39:42 2015 commencing number field sieve (236-digit input)
  183. Mon Dec 14 14:39:42 2015 R0: -4205852764738848612825172490560880044001
  184. Mon Dec 14 14:39:42 2015 R1: 1
  185. Mon Dec 14 14:39:42 2015 A0: -1
  186. Mon Dec 14 14:39:42 2015 A1: 0
  187. Mon Dec 14 14:39:42 2015 A2: 0
  188. Mon Dec 14 14:39:42 2015 A3: 0
  189. Mon Dec 14 14:39:42 2015 A4: 0
  190. Mon Dec 14 14:39:42 2015 A5: 0
  191. Mon Dec 14 14:39:42 2015 A6: 4001
  192. Mon Dec 14 14:39:42 2015 skew 1.00, size 5.187e-12, alpha 0.052, combined = 3.734e-13 rroots = 2
  193. Mon Dec 14 14:39:42 2015
  194. Mon Dec 14 14:39:42 2015 commencing linear algebra
  195. Mon Dec 14 14:39:43 2015 read 8793169 cycles
  196. Mon Dec 14 14:39:59 2015 cycles contain 29265539 unique relations
  197. Mon Dec 14 14:43:09 2015 read 29265539 relations
  198. Mon Dec 14 14:43:56 2015 using 20 quadratic characters above 4294917295
  199. Mon Dec 14 14:46:42 2015 building initial matrix
  200. Mon Dec 14 14:53:47 2015 memory use: 3822.4 MB
  201. Mon Dec 14 14:53:52 2015 read 8793169 cycles
  202. Mon Dec 14 14:53:53 2015 matrix is 8792992 x 8793169 (4123.5 MB) with weight 1198730392 (136.33/col)
  203. Mon Dec 14 14:53:53 2015 sparse part has weight 984216599 (111.93/col)
  204. Mon Dec 14 14:56:18 2015 filtering completed in 2 passes
  205. Mon Dec 14 14:56:20 2015 matrix is 8792942 x 8793119 (4123.5 MB) with weight 1198728732 (136.33/col)
  206. Mon Dec 14 14:56:20 2015 sparse part has weight 984216225 (111.93/col)
  207. Mon Dec 14 14:57:09 2015 matrix starts at (0, 0)
  208. Mon Dec 14 14:57:10 2015 matrix is 8792942 x 8793119 (4123.5 MB) with weight 1198728732 (136.33/col)
  209. Mon Dec 14 14:57:10 2015 sparse part has weight 984216225 (111.93/col)
  210. Mon Dec 14 14:57:10 2015 saving the first 48 matrix rows for later
  211. Mon Dec 14 14:57:12 2015 matrix includes 64 packed rows
  212. Mon Dec 14 14:57:14 2015 matrix is 8792894 x 8793119 (3963.3 MB) with weight 1026473763 (116.74/col)
  213. Mon Dec 14 14:57:14 2015 sparse part has weight 951016135 (108.15/col)
  214. Mon Dec 14 14:57:14 2015 using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  215. Mon Dec 14 14:58:04 2015 commencing Lanczos iteration (7 threads)
  216. Mon Dec 14 14:58:04 2015 memory use: 3352.6 MB
  217. Mon Dec 14 14:58:29 2015 linear algebra at 0.0%, ETA 38h33m
  218. Mon Dec 14 14:58:37 2015 checkpointing every 230000 dimensions
  219. Wed Dec 16 12:06:46 2015 lanczos halted after 139044 iterations (dim = 8792894)
  220. Wed Dec 16 12:06:54 2015 recovered 34 nontrivial dependencies
  221. Wed Dec 16 12:06:54 2015 BLanczosTime: 163632
  222. Wed Dec 16 12:06:54 2015 elapsed time 45:27:12
  223. Wed Dec 16 12:06:54 2015
  224. Wed Dec 16 12:06:54 2015
  225. Wed Dec 16 12:06:54 2015 Msieve v. 1.53 (SVN 984)
  226. Wed Dec 16 12:06:54 2015 random seeds: b4ece922 5d37f0db
  227. Wed Dec 16 12:06:54 2015 factoring 20581672866328976014675779541060848103228663951952998071030717801244513378543716932703216314174933156459200260759322710021174349254833934965439205467736144225868954188240419604691436848358356354691580890189188677101461833126183964642543 (236 digits)
  228. Wed Dec 16 12:06:54 2015 commencing number field sieve (236-digit input)
  229. Wed Dec 16 12:06:54 2015 R0: -4205852764738848612825172490560880044001
  230. Wed Dec 16 12:06:54 2015 R1: 1
  231. Wed Dec 16 12:06:54 2015 A0: -1
  232. Wed Dec 16 12:06:54 2015 A1: 0
  233. Wed Dec 16 12:06:54 2015 A2: 0
  234. Wed Dec 16 12:06:54 2015 A3: 0
  235. Wed Dec 16 12:06:54 2015 A4: 0
  236. Wed Dec 16 12:06:54 2015 A5: 0
  237. Wed Dec 16 12:06:54 2015 A6: 4001
  238. Wed Dec 16 12:06:54 2015 skew 1.00, size 5.187e-12, alpha 0.052, combined = 3.734e-13 rroots = 2
  239. Wed Dec 16 12:06:54 2015
  240. Wed Dec 16 12:06:54 2015 commencing square root phase
  241. Wed Dec 16 12:06:54 2015 reading relations for dependency 1
  242. Wed Dec 16 12:06:57 2015 read 4396914 cycles
  243. Wed Dec 16 12:07:06 2015 cycles contain 14633718 unique relations
  244. Wed Dec 16 12:08:50 2015 read 14633718 relations
  245. Wed Dec 16 12:10:23 2015 multiplying 14633718 relations
  246. Wed Dec 16 12:29:08 2015 multiply complete, coefficients have about 524.55 million bits
  247. Wed Dec 16 12:29:10 2015 initial square root is modulo 2582575351
  248. Wed Dec 16 12:49:16 2015 GCD is 1, no factor found
  249. Wed Dec 16 12:49:16 2015 reading relations for dependency 2
  250. Wed Dec 16 12:49:17 2015 read 4395962 cycles
  251. Wed Dec 16 12:49:28 2015 cycles contain 14633228 unique relations
  252. Wed Dec 16 12:51:08 2015 read 14633228 relations
  253. Wed Dec 16 12:52:47 2015 multiplying 14633228 relations
  254. Wed Dec 16 13:11:57 2015 multiply complete, coefficients have about 524.53 million bits
  255. Wed Dec 16 13:11:58 2015 initial square root is modulo 2580124849
  256. Wed Dec 16 13:32:08 2015 sqrtTime: 5114
  257. Wed Dec 16 13:32:08 2015 p78 factor: 131111057430132915609670164300408311079195795306005239682289352312979588496053
  258. Wed Dec 16 13:32:08 2015 p159 factor: 156978925116950077405370622322575730796675460547553584879273933674322748102434340221418332380466358460037630016402016427736459570445417823851677173745535933331
  259. Wed Dec 16 13:32:08 2015 elapsed time 01:25:14
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