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Mar 16th, 2018
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  1. Thu Mar 15 10:46:33 2018 Msieve v. 1.53 (SVN unknown)
  2. Thu Mar 15 10:46:33 2018 random seeds: 101f667b f1709f06
  3. Thu Mar 15 10:46:33 2018 factoring 38860861445778850969680630439311227159415792788932789500259849081812468751053583273644509181372728849492824609056535053661624930439377145596390615682047885423904123 (164 digits)
  4. Thu Mar 15 10:46:33 2018 searching for 15-digit factors
  5. Thu Mar 15 10:46:34 2018 commencing number field sieve (164-digit input)
  6. Thu Mar 15 10:46:34 2018 R0: -27442674178124839763824673150351
  7. Thu Mar 15 10:46:34 2018 R1: 7793043806681
  8. Thu Mar 15 10:46:34 2018 A0: 280136295732840685450151421109904775360
  9. Thu Mar 15 10:46:34 2018 A1: 325766467046230728769901747863120
  10. Thu Mar 15 10:46:34 2018 A2: -744071351884218696190168360
  11. Thu Mar 15 10:46:34 2018 A3: -47883588659751104714
  12. Thu Mar 15 10:46:34 2018 A4: 70117622905917
  13. Thu Mar 15 10:46:34 2018 A5: 2496780
  14. Thu Mar 15 10:46:34 2018 skew 3312465.63, size 5.372e-16, alpha -7.192, combined = 7.782e-13 rroots = 5
  15. Thu Mar 15 10:46:34 2018
  16. Thu Mar 15 10:46:34 2018 commencing relation filtering
  17. Thu Mar 15 10:46:34 2018 setting target matrix density to 128.0
  18. Thu Mar 15 10:46:34 2018 estimated available RAM is 15997.5 MB
  19. Thu Mar 15 10:46:34 2018 commencing duplicate removal, pass 1
  20. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646259
  21. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646260
  22. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646262
  23. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646263
  24. Thu Mar 15 10:52:55 2018 error -15 reading relation 46646266
  25. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646267
  26. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646268
  27. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646269
  28. Thu Mar 15 10:52:55 2018 error -15 reading relation 46646271
  29. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646275
  30. Thu Mar 15 10:52:55 2018 error -15 reading relation 46646276
  31. Thu Mar 15 10:52:55 2018 error -15 reading relation 46646279
  32. Thu Mar 15 10:52:55 2018 error -15 reading relation 46646281
  33. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646282
  34. Thu Mar 15 10:52:55 2018 error -15 reading relation 46646283
  35. Thu Mar 15 10:52:55 2018 error -9 reading relation 46646284
  36. Thu Mar 15 11:02:27 2018 error -1 reading relation 118081216
  37. Thu Mar 15 11:02:27 2018 error -1 reading relation 118081219
  38. [ . . . frlryrf 9700 lines - mostly error -1 & -11 . . . ]
  39. Thu Mar 15 11:02:28 2018 error -1 reading relation 118092176
  40. Thu Mar 15 11:06:11 2018 error -15 reading relation 145650688
  41. Thu Mar 15 11:06:50 2018 error -15 reading relation 150387704
  42. Thu Mar 15 11:11:30 2018 error -5 reading relation 184737339
  43. Thu Mar 15 11:12:19 2018 skipped 10 relations with b > 2^32
  44. Thu Mar 15 11:12:19 2018 skipped 1222 relations with composite factors
  45. Thu Mar 15 11:12:19 2018 found 8006275 hash collisions in 190909322 relations
  46. Thu Mar 15 11:12:51 2018 added 121957 free relations
  47. Thu Mar 15 11:12:51 2018 commencing duplicate removal, pass 2
  48. Thu Mar 15 11:14:15 2018 found 1 duplicates and 191031278 unique relations
  49. Thu Mar 15 11:14:15 2018 memory use: 522.4 MB
  50. Thu Mar 15 11:14:15 2018 reading ideals above 99942400
  51. Thu Mar 15 11:14:15 2018 commencing singleton removal, initial pass
  52. Thu Mar 15 11:33:29 2018 memory use: 3012.0 MB
  53. Thu Mar 15 11:33:30 2018 reading all ideals from disk
  54. Thu Mar 15 11:33:37 2018 memory use: 3324.3 MB
  55. Thu Mar 15 11:33:45 2018 commencing in-memory singleton removal
  56. Thu Mar 15 11:33:53 2018 begin with 191031278 relations and 159220051 unique ideals
  57. Thu Mar 15 11:35:12 2018 reduce to 121092295 relations and 81739238 ideals in 14 passes
  58. Thu Mar 15 11:35:12 2018 max relations containing the same ideal: 61
  59. Thu Mar 15 11:35:18 2018 reading ideals above 720000
  60. Thu Mar 15 11:35:19 2018 commencing singleton removal, initial pass
  61. Thu Mar 15 11:50:30 2018 memory use: 2756.0 MB
  62. Thu Mar 15 11:50:31 2018 reading all ideals from disk
  63. Thu Mar 15 11:50:41 2018 memory use: 4582.1 MB
  64. Thu Mar 15 11:50:54 2018 keeping 92639291 ideals with weight <= 200, target excess is 622430
  65. Thu Mar 15 11:51:07 2018 commencing in-memory singleton removal
  66. Thu Mar 15 11:51:17 2018 begin with 121092295 relations and 92639291 unique ideals
  67. Thu Mar 15 11:52:16 2018 reduce to 121091447 relations and 92638443 ideals in 6 passes
  68. Thu Mar 15 11:52:16 2018 max relations containing the same ideal: 200
  69. Thu Mar 15 11:53:08 2018 removing 10383186 relations and 8383186 ideals in 2000000 cliques
  70. Thu Mar 15 11:53:11 2018 commencing in-memory singleton removal
  71. Thu Mar 15 11:53:20 2018 begin with 110708261 relations and 92638443 unique ideals
  72. Thu Mar 15 11:54:42 2018 reduce to 110055015 relations and 83588357 ideals in 9 passes
  73. Thu Mar 15 11:54:42 2018 max relations containing the same ideal: 195
  74. Thu Mar 15 11:55:30 2018 removing 7860663 relations and 5860663 ideals in 2000000 cliques
  75. Thu Mar 15 11:55:33 2018 commencing in-memory singleton removal
  76. Thu Mar 15 11:55:41 2018 begin with 102194352 relations and 83588357 unique ideals
  77. Thu Mar 15 11:56:37 2018 reduce to 101755977 relations and 77281277 ideals in 7 passes
  78. Thu Mar 15 11:56:37 2018 max relations containing the same ideal: 187
  79. Thu Mar 15 11:57:18 2018 removing 7129010 relations and 5129010 ideals in 2000000 cliques
  80. Thu Mar 15 11:57:21 2018 commencing in-memory singleton removal
  81. Thu Mar 15 11:57:28 2018 begin with 94626967 relations and 77281277 unique ideals
  82. Thu Mar 15 11:58:20 2018 reduce to 94243351 relations and 71761357 ideals in 7 passes
  83. Thu Mar 15 11:58:20 2018 max relations containing the same ideal: 182
  84. Thu Mar 15 11:58:59 2018 removing 6751211 relations and 4751211 ideals in 2000000 cliques
  85. Thu Mar 15 11:59:02 2018 commencing in-memory singleton removal
  86. Thu Mar 15 11:59:08 2018 begin with 87492140 relations and 71761357 unique ideals
  87. Thu Mar 15 11:59:54 2018 reduce to 87132886 relations and 66643953 ideals in 7 passes
  88. Thu Mar 15 11:59:54 2018 max relations containing the same ideal: 172
  89. Thu Mar 15 12:00:31 2018 removing 6517564 relations and 4517564 ideals in 2000000 cliques
  90. Thu Mar 15 12:00:34 2018 commencing in-memory singleton removal
  91. Thu Mar 15 12:00:40 2018 begin with 80615322 relations and 66643953 unique ideals
  92. Thu Mar 15 12:01:21 2018 reduce to 80267314 relations and 61771328 ideals in 7 passes
  93. Thu Mar 15 12:01:21 2018 max relations containing the same ideal: 163
  94. Thu Mar 15 12:01:54 2018 removing 6357237 relations and 4357237 ideals in 2000000 cliques
  95. Thu Mar 15 12:01:56 2018 commencing in-memory singleton removal
  96. Thu Mar 15 12:02:01 2018 begin with 73910077 relations and 61771328 unique ideals
  97. Thu Mar 15 12:02:38 2018 reduce to 73561257 relations and 57057492 ideals in 7 passes
  98. Thu Mar 15 12:02:38 2018 max relations containing the same ideal: 155
  99. Thu Mar 15 12:03:09 2018 removing 6237003 relations and 4237003 ideals in 2000000 cliques
  100. Thu Mar 15 12:03:12 2018 commencing in-memory singleton removal
  101. Thu Mar 15 12:03:17 2018 begin with 67324254 relations and 57057492 unique ideals
  102. Thu Mar 15 12:03:50 2018 reduce to 66966937 relations and 52454674 ideals in 7 passes
  103. Thu Mar 15 12:03:50 2018 max relations containing the same ideal: 146
  104. Thu Mar 15 12:04:18 2018 removing 6158631 relations and 4158631 ideals in 2000000 cliques
  105. Thu Mar 15 12:04:20 2018 commencing in-memory singleton removal
  106. Thu Mar 15 12:04:24 2018 begin with 60808306 relations and 52454674 unique ideals
  107. Thu Mar 15 12:04:55 2018 reduce to 60435267 relations and 47913233 ideals in 7 passes
  108. Thu Mar 15 12:04:55 2018 max relations containing the same ideal: 137
  109. Thu Mar 15 12:05:21 2018 removing 6099188 relations and 4099188 ideals in 2000000 cliques
  110. Thu Mar 15 12:05:23 2018 commencing in-memory singleton removal
  111. Thu Mar 15 12:05:27 2018 begin with 54336079 relations and 47913233 unique ideals
  112. Thu Mar 15 12:05:53 2018 reduce to 53939208 relations and 43405604 ideals in 7 passes
  113. Thu Mar 15 12:05:53 2018 max relations containing the same ideal: 126
  114. Thu Mar 15 12:06:17 2018 removing 6064570 relations and 4064570 ideals in 2000000 cliques
  115. Thu Mar 15 12:06:19 2018 commencing in-memory singleton removal
  116. Thu Mar 15 12:06:22 2018 begin with 47874638 relations and 43405604 unique ideals
  117. Thu Mar 15 12:06:47 2018 reduce to 47444092 relations and 38896659 ideals in 7 passes
  118. Thu Mar 15 12:06:47 2018 max relations containing the same ideal: 116
  119. Thu Mar 15 12:07:07 2018 removing 6052332 relations and 4052332 ideals in 2000000 cliques
  120. Thu Mar 15 12:07:10 2018 commencing in-memory singleton removal
  121. Thu Mar 15 12:07:12 2018 begin with 41391760 relations and 38896659 unique ideals
  122. Thu Mar 15 12:07:32 2018 reduce to 40912365 relations and 34347727 ideals in 7 passes
  123. Thu Mar 15 12:07:32 2018 max relations containing the same ideal: 105
  124. Thu Mar 15 12:07:50 2018 removing 6050481 relations and 4050481 ideals in 2000000 cliques
  125. Thu Mar 15 12:07:51 2018 commencing in-memory singleton removal
  126. Thu Mar 15 12:07:54 2018 begin with 34861884 relations and 34347727 unique ideals
  127. Thu Mar 15 12:08:11 2018 reduce to 34314254 relations and 29726776 ideals in 8 passes
  128. Thu Mar 15 12:08:11 2018 max relations containing the same ideal: 93
  129. Thu Mar 15 12:08:27 2018 removing 6056961 relations and 4056961 ideals in 2000000 cliques
  130. Thu Mar 15 12:08:28 2018 commencing in-memory singleton removal
  131. Thu Mar 15 12:08:30 2018 begin with 28257293 relations and 29726776 unique ideals
  132. Thu Mar 15 12:08:44 2018 reduce to 27610217 relations and 24990774 ideals in 8 passes
  133. Thu Mar 15 12:08:44 2018 max relations containing the same ideal: 81
  134. Thu Mar 15 12:08:57 2018 removing 5816366 relations and 3918942 ideals in 1897424 cliques
  135. Thu Mar 15 12:08:59 2018 commencing in-memory singleton removal
  136. Thu Mar 15 12:09:00 2018 begin with 21793851 relations and 24990774 unique ideals
  137. Thu Mar 15 12:09:11 2018 reduce to 21038856 relations and 20272572 ideals in 8 passes
  138. Thu Mar 15 12:09:11 2018 max relations containing the same ideal: 69
  139. Thu Mar 15 12:09:20 2018 removing 275436 relations and 231171 ideals in 44265 cliques
  140. Thu Mar 15 12:09:21 2018 commencing in-memory singleton removal
  141. Thu Mar 15 12:09:22 2018 begin with 20763420 relations and 20272572 unique ideals
  142. Thu Mar 15 12:09:29 2018 reduce to 20760988 relations and 20038962 ideals in 6 passes
  143. Thu Mar 15 12:09:29 2018 max relations containing the same ideal: 68
  144. Thu Mar 15 12:09:33 2018 relations with 0 large ideals: 2006
  145. Thu Mar 15 12:09:33 2018 relations with 1 large ideals: 13776
  146. Thu Mar 15 12:09:33 2018 relations with 2 large ideals: 185443
  147. Thu Mar 15 12:09:33 2018 relations with 3 large ideals: 1050370
  148. Thu Mar 15 12:09:33 2018 relations with 4 large ideals: 3100141
  149. Thu Mar 15 12:09:33 2018 relations with 5 large ideals: 5299416
  150. Thu Mar 15 12:09:33 2018 relations with 6 large ideals: 5585680
  151. Thu Mar 15 12:09:33 2018 relations with 7+ large ideals: 5524156
  152. Thu Mar 15 12:09:33 2018 commencing 2-way merge
  153. Thu Mar 15 12:09:43 2018 reduce to 13328157 relation sets and 12606131 unique ideals
  154. Thu Mar 15 12:09:43 2018 commencing full merge
  155. Thu Mar 15 12:14:11 2018 memory use: 1623.4 MB
  156. Thu Mar 15 12:14:13 2018 found 5987998 cycles, need 5942331
  157. Thu Mar 15 12:14:14 2018 weight of 5942331 cycles is about 760800957 (128.03/cycle)
  158. Thu Mar 15 12:14:14 2018 distribution of cycle lengths:
  159. Thu Mar 15 12:14:14 2018 1 relations: 158671
  160. Thu Mar 15 12:14:14 2018 2 relations: 308618
  161. Thu Mar 15 12:14:14 2018 3 relations: 389624
  162. Thu Mar 15 12:14:14 2018 4 relations: 418230
  163. Thu Mar 15 12:14:14 2018 5 relations: 446050
  164. Thu Mar 15 12:14:14 2018 6 relations: 452805
  165. Thu Mar 15 12:14:14 2018 7 relations: 447057
  166. Thu Mar 15 12:14:14 2018 8 relations: 432299
  167. Thu Mar 15 12:14:14 2018 9 relations: 406370
  168. Thu Mar 15 12:14:14 2018 10+ relations: 2482607
  169. Thu Mar 15 12:14:14 2018 heaviest cycle: 28 relations
  170. Thu Mar 15 12:14:16 2018 commencing cycle optimization
  171. Thu Mar 15 12:14:26 2018 start with 54452813 relations
  172. Thu Mar 15 12:16:21 2018 pruned 2668463 relations
  173. Thu Mar 15 12:16:21 2018 memory use: 1418.9 MB
  174. Thu Mar 15 12:16:21 2018 distribution of cycle lengths:
  175. Thu Mar 15 12:16:21 2018 1 relations: 158671
  176. Thu Mar 15 12:16:21 2018 2 relations: 317748
  177. Thu Mar 15 12:16:21 2018 3 relations: 407758
  178. Thu Mar 15 12:16:21 2018 4 relations: 438134
  179. Thu Mar 15 12:16:21 2018 5 relations: 471630
  180. Thu Mar 15 12:16:21 2018 6 relations: 477858
  181. Thu Mar 15 12:16:21 2018 7 relations: 473779
  182. Thu Mar 15 12:16:21 2018 8 relations: 455959
  183. Thu Mar 15 12:16:21 2018 9 relations: 427329
  184. Thu Mar 15 12:16:21 2018 10+ relations: 2313465
  185. Thu Mar 15 12:16:21 2018 heaviest cycle: 28 relations
  186. Thu Mar 15 12:16:32 2018 RelProcTime: 5398
  187. Thu Mar 15 12:16:32 2018
  188. Thu Mar 15 12:16:32 2018 commencing linear algebra
  189. Thu Mar 15 12:16:33 2018 read 5942331 cycles
  190. Thu Mar 15 12:16:45 2018 cycles contain 20380651 unique relations
  191. Thu Mar 15 12:18:41 2018 read 20380651 relations
  192. Thu Mar 15 12:19:15 2018 using 20 quadratic characters above 4294917295
  193. Thu Mar 15 12:20:35 2018 building initial matrix
  194. Thu Mar 15 12:24:45 2018 memory use: 2855.4 MB
  195. Thu Mar 15 12:24:48 2018 read 5942331 cycles
  196. Thu Mar 15 12:24:49 2018 matrix is 5942154 x 5942331 (2954.5 MB) with weight 901402708 (151.69/col)
  197. Thu Mar 15 12:24:49 2018 sparse part has weight 703199800 (118.34/col)
  198. Thu Mar 15 12:25:59 2018 filtering completed in 2 passes
  199. Thu Mar 15 12:26:01 2018 matrix is 5941986 x 5942163 (2954.5 MB) with weight 901392588 (151.69/col)
  200. Thu Mar 15 12:26:01 2018 sparse part has weight 703195606 (118.34/col)
  201. Thu Mar 15 12:26:15 2018 matrix starts at (0, 0)
  202. Thu Mar 15 12:26:16 2018 matrix is 5941986 x 5942163 (2954.5 MB) with weight 901392588 (151.69/col)
  203. Thu Mar 15 12:26:16 2018 sparse part has weight 703195606 (118.34/col)
  204. Thu Mar 15 12:26:16 2018 saving the first 48 matrix rows for later
  205. Thu Mar 15 12:26:17 2018 matrix includes 64 packed rows
  206. Thu Mar 15 12:26:18 2018 matrix is 5941938 x 5942163 (2887.2 MB) with weight 774080798 (130.27/col)
  207. Thu Mar 15 12:26:18 2018 sparse part has weight 697434814 (117.37/col)
  208. Thu Mar 15 12:26:18 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  209. Thu Mar 15 12:26:44 2018 commencing Lanczos iteration (4 threads)
  210. Thu Mar 15 12:26:44 2018 memory use: 2384.0 MB
  211. Thu Mar 15 12:27:27 2018 linear algebra at 0.0%, ETA 44h43m
  212. Thu Mar 15 12:27:41 2018 checkpointing every 140000 dimensions
  213. Thu Mar 15 15:24:50 2018 lanczos halted after 6283 iterations (dim = 397286)
  214. Thu Mar 15 15:24:50 2018 BLanczosTime: 11298
  215. Thu Mar 15 15:24:50 2018
  216. Thu Mar 15 15:24:50 2018 commencing square root phase
  217. Thu Mar 15 15:24:50 2018 handling dependencies 1 to 64
  218. Thu Mar 15 15:24:50 2018 reading relations for dependency 1
  219. Thu Mar 15 15:24:50 2018 error: read_cycles can't open dependency file
  220. Thu Mar 15 15:37:01 2018
  221. Thu Mar 15 15:37:01 2018
  222. Thu Mar 15 15:37:01 2018 Msieve v. 1.53 (SVN unknown)
  223. Thu Mar 15 15:37:01 2018 random seeds: 621e8cc8 7067c505
  224. Thu Mar 15 15:37:01 2018 factoring 38860861445778850969680630439311227159415792788932789500259849081812468751053583273644509181372728849492824609056535053661624930439377145596390615682047885423904123 (164 digits)
  225. Thu Mar 15 15:37:02 2018 searching for 15-digit factors
  226. Thu Mar 15 15:37:02 2018 commencing number field sieve (164-digit input)
  227. Thu Mar 15 15:37:02 2018 R0: -27442674178124839763824673150351
  228. Thu Mar 15 15:37:02 2018 R1: 7793043806681
  229. Thu Mar 15 15:37:02 2018 A0: 280136295732840685450151421109904775360
  230. Thu Mar 15 15:37:02 2018 A1: 325766467046230728769901747863120
  231. Thu Mar 15 15:37:02 2018 A2: -744071351884218696190168360
  232. Thu Mar 15 15:37:02 2018 A3: -47883588659751104714
  233. Thu Mar 15 15:37:02 2018 A4: 70117622905917
  234. Thu Mar 15 15:37:02 2018 A5: 2496780
  235. Thu Mar 15 15:37:02 2018 skew 3312465.63, size 5.372e-16, alpha -7.192, combined = 7.782e-13 rroots = 5
  236. Thu Mar 15 15:37:02 2018
  237. Thu Mar 15 15:37:02 2018 commencing linear algebra
  238. Thu Mar 15 15:37:02 2018 skipping matrix build
  239. Thu Mar 15 15:37:04 2018 matrix starts at (0, 0)
  240. Thu Mar 15 15:37:05 2018 matrix is 5941986 x 5942163 (2954.5 MB) with weight 901392588 (151.69/col)
  241. Thu Mar 15 15:37:05 2018 sparse part has weight 703195606 (118.34/col)
  242. Thu Mar 15 15:37:05 2018 saving the first 48 matrix rows for later
  243. Thu Mar 15 15:37:06 2018 matrix includes 64 packed rows
  244. Thu Mar 15 15:37:07 2018 matrix is 5941938 x 5942163 (2887.2 MB) with weight 774080798 (130.27/col)
  245. Thu Mar 15 15:37:07 2018 sparse part has weight 697434814 (117.37/col)
  246. Thu Mar 15 15:37:07 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  247. Thu Mar 15 15:37:35 2018 commencing Lanczos iteration (4 threads)
  248. Thu Mar 15 15:37:35 2018 memory use: 2384.0 MB
  249. Thu Mar 15 15:37:35 2018 restarting at iteration 6283 (dim = 397286)
  250. Thu Mar 15 15:37:56 2018 checkpointing every 140000 dimensions
  251. Thu Mar 15 15:38:16 2018 linear algebra at 6.7%, ETA 41h20m
  252. Fri Mar 16 11:49:21 2018 lanczos halted after 93967 iterations (dim = 5941938)
  253. Fri Mar 16 11:49:28 2018 recovered 31 nontrivial dependencies
  254. Fri Mar 16 11:49:28 2018 BLanczosTime: 72746
  255. Fri Mar 16 11:49:28 2018
  256. Fri Mar 16 11:49:28 2018 commencing square root phase
  257. Fri Mar 16 11:49:28 2018 handling dependencies 1 to 64
  258. Fri Mar 16 11:49:28 2018 reading relations for dependency 1
  259. Fri Mar 16 11:49:28 2018 read 2971169 cycles
  260. Fri Mar 16 11:49:33 2018 cycles contain 10187500 unique relations
  261. Fri Mar 16 11:50:37 2018 read 10187500 relations
  262. Fri Mar 16 11:51:11 2018 multiplying 10187500 relations
  263. Fri Mar 16 12:02:43 2018 multiply complete, coefficients have about 599.73 million bits
  264. Fri Mar 16 12:02:47 2018 initial square root is modulo 240209
  265. Fri Mar 16 12:17:08 2018 sqrtTime: 1660
  266. Fri Mar 16 12:17:08 2018 p74 factor: 70447738103044046265402101002783384230759655161833776518411774857295178219
  267. Fri Mar 16 12:17:08 2018 p90 factor: 551626815738739430462075655548040459968689233568387776104952782250110880383972668934397617
  268. Fri Mar 16 12:17:08 2018 elapsed time 20:40:07
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