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Feb 3rd, 2019
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  1. Sat Feb 2 00:32:14 2019
  2. Sat Feb 2 00:32:14 2019
  3. Sat Feb 2 00:32:14 2019 Msieve v. 1.53 (SVN 988M)
  4. Sat Feb 2 00:32:14 2019 random seeds: 05ec233a 72702982
  5. Sat Feb 2 00:32:14 2019 factoring 1791286662430057452983130523411194535437251673353031153150598481104443761893827038974029532706698531495630443111129925559641076289629165863206517442217179839432424654501897059190326648294340030138729883529 (205 digits)
  6. Sat Feb 2 00:32:15 2019 searching for 15-digit factors
  7. Sat Feb 2 00:32:17 2019 commencing number field sieve (205-digit input)
  8. Sat Feb 2 00:32:17 2019 R0: 5243338316756303634461458718861951455543
  9. Sat Feb 2 00:32:17 2019 R1: -3742042951225759540014535187298779136
  10. Sat Feb 2 00:32:17 2019 A0: 1
  11. Sat Feb 2 00:32:17 2019 A1: 1
  12. Sat Feb 2 00:32:17 2019 A2: 1
  13. Sat Feb 2 00:32:17 2019 A3: 1
  14. Sat Feb 2 00:32:17 2019 A4: 1
  15. Sat Feb 2 00:32:17 2019 A5: 1
  16. Sat Feb 2 00:32:17 2019 A6: 1
  17. Sat Feb 2 00:32:17 2019 skew 1.00, size 8.718e-12, alpha 2.428, combined = 5.771e-13 rroots = 0
  18. Sat Feb 2 00:32:17 2019
  19. Sat Feb 2 00:32:17 2019 commencing relation filtering
  20. Sat Feb 2 00:32:17 2019 setting target matrix density to 130.0
  21. Sat Feb 2 00:32:17 2019 estimated available RAM is 65536.0 MB
  22. Sat Feb 2 00:32:17 2019 commencing duplicate removal, pass 1
  23. Sat Feb 2 00:32:58 2019 error -9 reading relation 4729355
  24. [7386 more error lines]
  25. Sat Feb 2 00:51:13 2019 error -1 reading relation 131010727
  26. Sat Feb 2 00:51:14 2019 skipped 54 relations with b > 2^32
  27. Sat Feb 2 00:51:14 2019 skipped 1549 relations with composite factors
  28. Sat Feb 2 00:51:14 2019 found 28739575 hash collisions in 131039532 relations
  29. Sat Feb 2 00:51:23 2019 added 2438534 free relations
  30. Sat Feb 2 00:51:24 2019 commencing duplicate removal, pass 2
  31. Sat Feb 2 00:53:43 2019 found 29269619 duplicates and 104208447 unique relations
  32. Sat Feb 2 00:53:43 2019 memory use: 724.8 MB
  33. Sat Feb 2 00:53:43 2019 reading ideals above 720000
  34. Sat Feb 2 00:53:43 2019 commencing singleton removal, initial pass
  35. Sat Feb 2 01:08:46 2019 memory use: 2756.0 MB
  36. Sat Feb 2 01:08:46 2019 reading all ideals from disk
  37. Sat Feb 2 01:08:48 2019 memory use: 4006.8 MB
  38. Sat Feb 2 01:09:00 2019 keeping 92457464 ideals with weight <= 200, target excess is 550469
  39. Sat Feb 2 01:09:12 2019 commencing in-memory singleton removal
  40. Sat Feb 2 01:09:22 2019 begin with 104208447 relations and 92457464 unique ideals
  41. Sat Feb 2 01:10:49 2019 reduce to 72090519 relations and 57372788 ideals in 12 passes
  42. Sat Feb 2 01:10:51 2019 max relations containing the same ideal: 163
  43. Sat Feb 2 01:11:25 2019 removing 8334860 relations and 6334860 ideals in 2000000 cliques
  44. Sat Feb 2 01:11:28 2019 commencing in-memory singleton removal
  45. Sat Feb 2 01:11:33 2019 begin with 63755659 relations and 57372788 unique ideals
  46. Sat Feb 2 01:12:21 2019 reduce to 62979973 relations and 50235587 ideals in 8 passes
  47. Sat Feb 2 01:12:21 2019 max relations containing the same ideal: 151
  48. Sat Feb 2 01:12:50 2019 removing 6716597 relations and 4716597 ideals in 2000000 cliques
  49. Sat Feb 2 01:12:52 2019 commencing in-memory singleton removal
  50. Sat Feb 2 01:12:57 2019 begin with 56263376 relations and 50235587 unique ideals
  51. Sat Feb 2 01:13:33 2019 reduce to 55733032 relations and 44971844 ideals in 7 passes
  52. Sat Feb 2 01:13:33 2019 max relations containing the same ideal: 137
  53. Sat Feb 2 01:13:58 2019 removing 6196136 relations and 4196136 ideals in 2000000 cliques
  54. Sat Feb 2 01:14:00 2019 commencing in-memory singleton removal
  55. Sat Feb 2 01:14:05 2019 begin with 49536896 relations and 44971844 unique ideals
  56. Sat Feb 2 01:14:36 2019 reduce to 49062513 relations and 40285440 ideals in 7 passes
  57. Sat Feb 2 01:14:36 2019 max relations containing the same ideal: 127
  58. Sat Feb 2 01:14:59 2019 removing 5919417 relations and 3919417 ideals in 2000000 cliques
  59. Sat Feb 2 01:15:01 2019 commencing in-memory singleton removal
  60. Sat Feb 2 01:15:04 2019 begin with 43143096 relations and 40285440 unique ideals
  61. Sat Feb 2 01:15:31 2019 reduce to 42681548 relations and 35887807 ideals in 7 passes
  62. Sat Feb 2 01:15:31 2019 max relations containing the same ideal: 118
  63. Sat Feb 2 01:15:51 2019 removing 5741175 relations and 3741175 ideals in 2000000 cliques
  64. Sat Feb 2 01:15:53 2019 commencing in-memory singleton removal
  65. Sat Feb 2 01:15:56 2019 begin with 36940373 relations and 35887807 unique ideals
  66. Sat Feb 2 01:16:18 2019 reduce to 36461050 relations and 31647635 ideals in 7 passes
  67. Sat Feb 2 01:16:18 2019 max relations containing the same ideal: 105
  68. Sat Feb 2 01:16:35 2019 removing 5624190 relations and 3624190 ideals in 2000000 cliques
  69. Sat Feb 2 01:16:37 2019 commencing in-memory singleton removal
  70. Sat Feb 2 01:16:39 2019 begin with 30836860 relations and 31647635 unique ideals
  71. Sat Feb 2 01:16:58 2019 reduce to 30303956 relations and 27465687 ideals in 7 passes
  72. Sat Feb 2 01:16:58 2019 max relations containing the same ideal: 93
  73. Sat Feb 2 01:17:11 2019 removing 5564228 relations and 3564228 ideals in 2000000 cliques
  74. Sat Feb 2 01:17:13 2019 commencing in-memory singleton removal
  75. Sat Feb 2 01:17:15 2019 begin with 24739728 relations and 27465687 unique ideals
  76. Sat Feb 2 01:17:31 2019 reduce to 24085140 relations and 23210075 ideals in 8 passes
  77. Sat Feb 2 01:17:31 2019 max relations containing the same ideal: 79
  78. Sat Feb 2 01:17:42 2019 removing 978521 relations and 742001 ideals in 236520 cliques
  79. Sat Feb 2 01:17:43 2019 commencing in-memory singleton removal
  80. Sat Feb 2 01:17:45 2019 begin with 23106619 relations and 23210075 unique ideals
  81. Sat Feb 2 01:17:56 2019 reduce to 23071816 relations and 22432945 ideals in 6 passes
  82. Sat Feb 2 01:17:56 2019 max relations containing the same ideal: 76
  83. Sat Feb 2 01:18:10 2019 relations with 0 large ideals: 41297
  84. Sat Feb 2 01:18:10 2019 relations with 1 large ideals: 11732
  85. Sat Feb 2 01:18:10 2019 relations with 2 large ideals: 113842
  86. Sat Feb 2 01:18:10 2019 relations with 3 large ideals: 708924
  87. Sat Feb 2 01:18:10 2019 relations with 4 large ideals: 2398840
  88. Sat Feb 2 01:18:10 2019 relations with 5 large ideals: 4833487
  89. Sat Feb 2 01:18:10 2019 relations with 6 large ideals: 6075382
  90. Sat Feb 2 01:18:10 2019 relations with 7+ large ideals: 8888312
  91. Sat Feb 2 01:18:10 2019 commencing 2-way merge
  92. Sat Feb 2 01:18:24 2019 reduce to 16304629 relation sets and 15665758 unique ideals
  93. Sat Feb 2 01:18:24 2019 commencing full merge
  94. Sat Feb 2 01:30:52 2019 memory use: 727.5 MB
  95. Sat Feb 2 01:30:54 2019 found 66336 cycles, need 3527669
  96. Sat Feb 2 01:30:54 2019 too few cycles, matrix probably cannot build
  97. Sat Feb 2 01:33:33 2019
  98. Sat Feb 2 01:33:34 2019
  99. Sat Feb 2 01:33:35 2019 Msieve v. 1.53 (SVN 988M)
  100. Sat Feb 2 01:33:35 2019 random seeds: f29fedcb 78d42487
  101. Sat Feb 2 01:33:35 2019 factoring 1791286662430057452983130523411194535437251673353031153150598481104443761893827038974029532706698531495630443111129925559641076289629165863206517442217179839432424654501897059190326648294340030138729883529 (205 digits)
  102. Sat Feb 2 01:33:36 2019 searching for 15-digit factors
  103. Sat Feb 2 01:33:37 2019 commencing number field sieve (205-digit input)
  104. Sat Feb 2 01:33:37 2019 R0: 5243338316756303634461458718861951455543
  105. Sat Feb 2 01:33:37 2019 R1: -3742042951225759540014535187298779136
  106. Sat Feb 2 01:33:37 2019 A0: 1
  107. Sat Feb 2 01:33:37 2019 A1: 1
  108. Sat Feb 2 01:33:37 2019 A2: 1
  109. Sat Feb 2 01:33:37 2019 A3: 1
  110. Sat Feb 2 01:33:37 2019 A4: 1
  111. Sat Feb 2 01:33:37 2019 A5: 1
  112. Sat Feb 2 01:33:37 2019 A6: 1
  113. Sat Feb 2 01:33:37 2019 skew 1.00, size 8.718e-12, alpha 2.428, combined = 5.771e-13 rroots = 0
  114. Sat Feb 2 01:33:37 2019
  115. Sat Feb 2 01:33:37 2019 commencing relation filtering
  116. Sat Feb 2 01:33:37 2019 setting target matrix density to 120.0
  117. Sat Feb 2 01:33:37 2019 estimated available RAM is 65536.0 MB
  118. Sat Feb 2 01:33:37 2019 commencing duplicate removal, pass 1
  119. Sat Feb 2 01:34:16 2019 error -9 reading relation 4729355
  120. [7386 more error lines]
  121. Sat Feb 2 01:51:53 2019 error -1 reading relation 131010727
  122. Sat Feb 2 01:52:34 2019 skipped 54 relations with b > 2^32
  123. Sat Feb 2 01:52:34 2019 skipped 1549 relations with composite factors
  124. Sat Feb 2 01:52:34 2019 found 28906884 hash collisions in 133478066 relations
  125. Sat Feb 2 01:52:34 2019 commencing duplicate removal, pass 2
  126. Sat Feb 2 01:54:49 2019 found 29269619 duplicates and 104208447 unique relations
  127. Sat Feb 2 01:54:49 2019 memory use: 724.8 MB
  128. Sat Feb 2 01:54:49 2019 reading ideals above 720000
  129. Sat Feb 2 01:54:49 2019 commencing singleton removal, initial pass
  130. Sat Feb 2 02:09:18 2019 memory use: 2756.0 MB
  131. Sat Feb 2 02:09:18 2019 reading all ideals from disk
  132. Sat Feb 2 02:09:20 2019 memory use: 4006.8 MB
  133. Sat Feb 2 02:09:31 2019 keeping 92457464 ideals with weight <= 200, target excess is 550469
  134. Sat Feb 2 02:09:43 2019 commencing in-memory singleton removal
  135. Sat Feb 2 02:09:52 2019 begin with 104208447 relations and 92457464 unique ideals
  136. Sat Feb 2 02:11:18 2019 reduce to 72090519 relations and 57372788 ideals in 12 passes
  137. Sat Feb 2 02:11:19 2019 max relations containing the same ideal: 163
  138. Sat Feb 2 02:11:51 2019 removing 8334860 relations and 6334860 ideals in 2000000 cliques
  139. Sat Feb 2 02:11:54 2019 commencing in-memory singleton removal
  140. Sat Feb 2 02:12:00 2019 begin with 63755659 relations and 57372788 unique ideals
  141. Sat Feb 2 02:12:46 2019 reduce to 62979973 relations and 50235587 ideals in 8 passes
  142. Sat Feb 2 02:12:46 2019 max relations containing the same ideal: 151
  143. Sat Feb 2 02:13:13 2019 removing 6716597 relations and 4716597 ideals in 2000000 cliques
  144. Sat Feb 2 02:13:16 2019 commencing in-memory singleton removal
  145. Sat Feb 2 02:13:20 2019 begin with 56263376 relations and 50235587 unique ideals
  146. Sat Feb 2 02:13:55 2019 reduce to 55733032 relations and 44971844 ideals in 7 passes
  147. Sat Feb 2 02:13:55 2019 max relations containing the same ideal: 137
  148. Sat Feb 2 02:14:20 2019 removing 6196136 relations and 4196136 ideals in 2000000 cliques
  149. Sat Feb 2 02:14:22 2019 commencing in-memory singleton removal
  150. Sat Feb 2 02:14:26 2019 begin with 49536896 relations and 44971844 unique ideals
  151. Sat Feb 2 02:14:57 2019 reduce to 49062513 relations and 40285440 ideals in 7 passes
  152. Sat Feb 2 02:14:57 2019 max relations containing the same ideal: 127
  153. Sat Feb 2 02:15:18 2019 removing 5919417 relations and 3919417 ideals in 2000000 cliques
  154. Sat Feb 2 02:15:20 2019 commencing in-memory singleton removal
  155. Sat Feb 2 02:15:24 2019 begin with 43143096 relations and 40285440 unique ideals
  156. Sat Feb 2 02:15:50 2019 reduce to 42681548 relations and 35887807 ideals in 7 passes
  157. Sat Feb 2 02:15:50 2019 max relations containing the same ideal: 118
  158. Sat Feb 2 02:16:08 2019 removing 5741175 relations and 3741175 ideals in 2000000 cliques
  159. Sat Feb 2 02:16:10 2019 commencing in-memory singleton removal
  160. Sat Feb 2 02:16:13 2019 begin with 36940373 relations and 35887807 unique ideals
  161. Sat Feb 2 02:16:35 2019 reduce to 36461050 relations and 31647635 ideals in 7 passes
  162. Sat Feb 2 02:16:35 2019 max relations containing the same ideal: 105
  163. Sat Feb 2 02:16:50 2019 removing 5624190 relations and 3624190 ideals in 2000000 cliques
  164. Sat Feb 2 02:16:52 2019 commencing in-memory singleton removal
  165. Sat Feb 2 02:16:55 2019 begin with 30836860 relations and 31647635 unique ideals
  166. Sat Feb 2 02:17:12 2019 reduce to 30303956 relations and 27465687 ideals in 7 passes
  167. Sat Feb 2 02:17:12 2019 max relations containing the same ideal: 93
  168. Sat Feb 2 02:17:25 2019 removing 5564228 relations and 3564228 ideals in 2000000 cliques
  169. Sat Feb 2 02:17:27 2019 commencing in-memory singleton removal
  170. Sat Feb 2 02:17:29 2019 begin with 24739728 relations and 27465687 unique ideals
  171. Sat Feb 2 02:17:45 2019 reduce to 24085140 relations and 23210075 ideals in 8 passes
  172. Sat Feb 2 02:17:45 2019 max relations containing the same ideal: 79
  173. Sat Feb 2 02:17:55 2019 removing 978521 relations and 742001 ideals in 236520 cliques
  174. Sat Feb 2 02:17:56 2019 commencing in-memory singleton removal
  175. Sat Feb 2 02:17:57 2019 begin with 23106619 relations and 23210075 unique ideals
  176. Sat Feb 2 02:18:08 2019 reduce to 23071816 relations and 22432945 ideals in 6 passes
  177. Sat Feb 2 02:18:08 2019 max relations containing the same ideal: 76
  178. Sat Feb 2 02:18:21 2019 relations with 0 large ideals: 41297
  179. Sat Feb 2 02:18:21 2019 relations with 1 large ideals: 11732
  180. Sat Feb 2 02:18:21 2019 relations with 2 large ideals: 113842
  181. Sat Feb 2 02:18:21 2019 relations with 3 large ideals: 708924
  182. Sat Feb 2 02:18:21 2019 relations with 4 large ideals: 2398840
  183. Sat Feb 2 02:18:21 2019 relations with 5 large ideals: 4833487
  184. Sat Feb 2 02:18:21 2019 relations with 6 large ideals: 6075382
  185. Sat Feb 2 02:18:21 2019 relations with 7+ large ideals: 8888312
  186. Sat Feb 2 02:18:21 2019 commencing 2-way merge
  187. Sat Feb 2 02:18:35 2019 reduce to 16304629 relation sets and 15665758 unique ideals
  188. Sat Feb 2 02:18:35 2019 commencing full merge
  189. Sat Feb 2 02:25:15 2019 memory use: 2085.0 MB
  190. Sat Feb 2 02:25:20 2019 found 7194780 cycles, need 7169958
  191. Sat Feb 2 02:25:20 2019 weight of 7169958 cycles is about 861213557 (120.11/cycle)
  192. Sat Feb 2 02:25:20 2019 distribution of cycle lengths:
  193. Sat Feb 2 02:25:20 2019 1 relations: 223763
  194. Sat Feb 2 02:25:20 2019 2 relations: 355037
  195. Sat Feb 2 02:25:20 2019 3 relations: 460756
  196. Sat Feb 2 02:25:20 2019 4 relations: 504403
  197. Sat Feb 2 02:25:20 2019 5 relations: 533327
  198. Sat Feb 2 02:25:20 2019 6 relations: 541865
  199. Sat Feb 2 02:25:20 2019 7 relations: 535337
  200. Sat Feb 2 02:25:20 2019 8 relations: 514308
  201. Sat Feb 2 02:25:20 2019 9 relations: 481746
  202. Sat Feb 2 02:25:20 2019 10+ relations: 3019416
  203. Sat Feb 2 02:25:20 2019 heaviest cycle: 28 relations
  204. Sat Feb 2 02:25:23 2019 commencing cycle optimization
  205. Sat Feb 2 02:25:41 2019 start with 66242765 relations
  206. Sat Feb 2 02:28:49 2019 pruned 3588468 relations
  207. Sat Feb 2 02:28:50 2019 memory use: 1644.0 MB
  208. Sat Feb 2 02:28:51 2019 distribution of cycle lengths:
  209. Sat Feb 2 02:28:51 2019 1 relations: 223763
  210. Sat Feb 2 02:28:51 2019 2 relations: 364925
  211. Sat Feb 2 02:28:51 2019 3 relations: 482210
  212. Sat Feb 2 02:28:51 2019 4 relations: 529654
  213. Sat Feb 2 02:28:51 2019 5 relations: 567021
  214. Sat Feb 2 02:28:51 2019 6 relations: 575381
  215. Sat Feb 2 02:28:51 2019 7 relations: 570361
  216. Sat Feb 2 02:28:51 2019 8 relations: 544652
  217. Sat Feb 2 02:28:51 2019 9 relations: 509959
  218. Sat Feb 2 02:28:51 2019 10+ relations: 2802032
  219. Sat Feb 2 02:28:51 2019 heaviest cycle: 28 relations
  220. Sat Feb 2 02:29:11 2019 RelProcTime: 3334
  221. Sat Feb 2 02:29:11 2019
  222. Sat Feb 2 02:29:11 2019 commencing linear algebra
  223. Sat Feb 2 02:29:13 2019 read 7169958 cycles
  224. Sat Feb 2 02:29:28 2019 cycles contain 22784939 unique relations
  225. Sat Feb 2 02:32:58 2019 read 22784939 relations
  226. Sat Feb 2 02:33:43 2019 using 20 quadratic characters above 4294917295
  227. Sat Feb 2 02:35:13 2019 building initial matrix
  228. Sat Feb 2 02:39:37 2019 memory use: 2866.8 MB
  229. Sat Feb 2 02:39:45 2019 read 7169958 cycles
  230. Sat Feb 2 02:39:45 2019 matrix is 7169781 x 7169958 (3338.4 MB) with weight 948909683 (132.35/col)
  231. Sat Feb 2 02:39:45 2019 sparse part has weight 796269565 (111.06/col)
  232. Sat Feb 2 02:41:24 2019 filtering completed in 2 passes
  233. Sat Feb 2 02:41:25 2019 matrix is 7169704 x 7169881 (3338.4 MB) with weight 948907082 (132.35/col)
  234. Sat Feb 2 02:41:25 2019 sparse part has weight 796268593 (111.06/col)
  235. Sat Feb 2 02:43:04 2019 matrix starts at (0, 0)
  236. Sat Feb 2 02:43:05 2019 matrix is 7169704 x 7169881 (3338.4 MB) with weight 948907082 (132.35/col)
  237. Sat Feb 2 02:43:05 2019 sparse part has weight 796268593 (111.06/col)
  238. Sat Feb 2 02:43:05 2019 saving the first 48 matrix rows for later
  239. Sat Feb 2 02:43:06 2019 matrix includes 64 packed rows
  240. Sat Feb 2 02:43:07 2019 matrix is 7169656 x 7169881 (3195.1 MB) with weight 819245960 (114.26/col)
  241. Sat Feb 2 02:43:07 2019 sparse part has weight 765872251 (106.82/col)
  242. Sat Feb 2 02:43:07 2019 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  243. Sat Feb 2 02:43:50 2019 commencing Lanczos iteration (8 threads)
  244. Sat Feb 2 02:43:50 2019 memory use: 2712.2 MB
  245. Sat Feb 2 02:44:06 2019 linear algebra at 0.0%, ETA 19h39m
  246. Sat Feb 2 02:44:11 2019 checkpointing every 370000 dimensions
  247. Sat Feb 2 22:10:58 2019 lanczos halted after 113377 iterations (dim = 7169651)
  248. Sat Feb 2 22:11:17 2019 recovered 35 nontrivial dependencies
  249. Sat Feb 2 22:11:19 2019 BLanczosTime: 70928
  250. Sat Feb 2 22:11:19 2019
  251. Sat Feb 2 22:11:19 2019 commencing square root phase
  252. Sat Feb 2 22:11:19 2019 handling dependencies 1 to 64
  253. Sat Feb 2 22:11:19 2019 reading relations for dependency 1
  254. Sat Feb 2 22:11:21 2019 read 3583244 cycles
  255. Sat Feb 2 22:11:28 2019 cycles contain 11390478 unique relations
  256. Sat Feb 2 22:13:59 2019 read 11390478 relations
  257. Sat Feb 2 22:14:46 2019 multiplying 11390478 relations
  258. Sat Feb 2 22:22:43 2019 multiply complete, coefficients have about 282.88 million bits
  259. Sat Feb 2 22:22:45 2019 initial square root is modulo 119087
  260. Sat Feb 2 22:30:42 2019 GCD is N, no factor found
  261. Sat Feb 2 22:30:43 2019 reading relations for dependency 2
  262. Sat Feb 2 22:30:46 2019 read 3586331 cycles
  263. Sat Feb 2 22:30:53 2019 cycles contain 11397160 unique relations
  264. Sat Feb 2 22:33:23 2019 read 11397160 relations
  265. Sat Feb 2 22:34:11 2019 multiplying 11397160 relations
  266. Sat Feb 2 22:42:08 2019 multiply complete, coefficients have about 283.06 million bits
  267. Sat Feb 2 22:42:11 2019 initial square root is modulo 119971
  268. Sat Feb 2 22:50:06 2019 sqrtTime: 2327
  269. Sat Feb 2 22:50:08 2019 p74 factor: 73469415608127075620932595953057643363326646642728118505803760975407138141
  270. Sat Feb 2 22:50:08 2019 p131 factor: 24381392550942082517095474603605820877278065609180781750597407702627246676809846281399448975278973108490223409361337477189215779869
  271. Sat Feb 2 22:50:08 2019 elapsed time 21:16:33
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