
2788 DEC. 18, 19, 20 (SUN, MON, TUE)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
18 0 | 87 05.7 | 145 26.0 S22 04.2 | 244 09.0 S 7 59.1 | 216 05.9 S17 32.6 | 112 03.2 S11 51.4
1 | 102 08.2 | 160 25.2 S22 03.6 | 259 10.2 S 7 59.7 | 231 07.8 S17 32.7 | 127 05.5 S11 51.4
2 | 117 10.6 | 175 24.4 S22 03.0 | 274 11.3 S 8 00.2 | 246 09.8 S17 32.8 | 142 07.8 S11 51.3
3 | 132 13.1 | 190 23.6 S22 02.4 | 289 12.4 S 8 00.7 | 261 11.7 S17 32.9 | 157 10.1 S11 51.2
4 | 147 15.6 | 205 22.8 S22 01.8 | 304 13.5 S 8 01.2 | 276 13.7 S17 33.0 | 172 12.4 S11 51.2
S 5 | 162 18.0 | 220 22.1 S22 01.2 | 319 14.6 S 8 01.7 | 291 15.7 S17 33.2 | 187 14.7 S11 51.1
U
N 6 | 177 20.5 | 235 21.3 S22 00.6 | 334 15.7 S 8 02.3 | 306 17.6 S17 33.3 | 202 17.0 S11 51.0
D 7 | 192 22.9 | 250 20.5 S21 60.0 | 349 16.8 S 8 02.8 | 321 19.6 S17 33.4 | 217 19.3 S11 51.0
A 8 | 207 25.4 | 265 19.7 S21 59.4 | 4 17.9 S 8 03.3 | 336 21.5 S17 33.5 | 232 21.6 S11 50.9
Y 9 | 222 27.9 | 280 18.9 S21 58.8 | 19 19.1 S 8 03.8 | 351 23.5 S17 33.7 | 247 23.9 S11 50.8
10 | 237 30.3 | 295 18.2 S21 58.1 | 34 20.2 S 8 04.4 | 6 25.4 S17 33.8 | 262 26.2 S11 50.8
11 | 252 32.8 | 310 17.4 S21 57.5 | 49 21.3 S 8 04.9 | 21 27.4 S17 33.9 | 277 28.5 S11 50.7
12 | 267 35.3 | 325 16.6 S21 56.9 | 64 22.4 S 8 05.4 | 36 29.4 S17 34.0 | 292 30.8 S11 50.6
13 | 282 37.7 | 340 15.8 S21 56.3 | 79 23.5 S 8 05.9 | 51 31.3 S17 34.1 | 307 33.1 S11 50.6
14 | 297 40.2 | 355 15.1 S21 55.7 | 94 24.6 S 8 06.4 | 66 33.3 S17 34.3 | 322 35.4 S11 50.5
15 | 312 42.7 | 10 14.3 S21 55.0 | 109 25.7 S 8 07.0 | 81 35.2 S17 34.4 | 337 37.7 S11 50.4
16 | 327 45.1 | 25 13.5 S21 54.4 | 124 26.8 S 8 07.5 | 96 37.2 S17 34.5 | 352 40.0 S11 50.4
17 | 342 47.6 | 40 12.7 S21 53.8 | 139 28.0 S 8 08.0 | 111 39.2 S17 34.6 | 7 42.3 S11 50.3
18 | 357 50.0 | 55 11.9 S21 53.2 | 154 29.1 S 8 08.5 | 126 41.1 S17 34.8 | 22 44.6 S11 50.2
19 | 12 52.5 | 70 11.2 S21 52.6 | 169 30.2 S 8 09.0 | 141 43.1 S17 34.9 | 37 46.9 S11 50.2
20 | 27 55.0 | 85 10.4 S21 51.9 | 184 31.3 S 8 09.6 | 156 45.0 S17 35.0 | 52 49.2 S11 50.1
21 | 42 57.4 | 100 09.6 S21 51.3 | 199 32.4 S 8 10.1 | 171 47.0 S17 35.1 | 67 51.5 S11 50.0
22 | 57 59.9 | 115 08.9 S21 50.7 | 214 33.5 S 8 10.6 | 186 49.0 S17 35.2 | 82 53.8 S11 50.0
23 | 73 02.4 | 130 08.1 S21 50.0 | 229 34.6 S 8 11.1 | 201 50.9 S17 35.4 | 97 56.1 S11 49.9
------+----------+-------------------+-------------------+-------------------+--------------------
19 0 | 88 04.8 | 145 07.3 S21 49.4 | 244 35.7 S 8 11.6 | 216 52.9 S17 35.5 | 112 58.4 S11 49.8
1 | 103 07.3 | 160 06.5 S21 48.8 | 259 36.9 S 8 12.1 | 231 54.8 S17 35.6 | 128 00.7 S11 49.8
2 | 118 09.8 | 175 05.8 S21 48.2 | 274 38.0 S 8 12.7 | 246 56.8 S17 35.7 | 143 03.0 S11 49.7
3 | 133 12.2 | 190 05.0 S21 47.5 | 289 39.1 S 8 13.2 | 261 58.8 S17 35.8 | 158 05.2 S11 49.6
4 | 148 14.7 | 205 04.2 S21 46.9 | 304 40.2 S 8 13.7 | 277 00.7 S17 36.0 | 173 07.5 S11 49.6
M 5 | 163 17.2 | 220 03.5 S21 46.3 | 319 41.3 S 8 14.2 | 292 02.7 S17 36.1 | 188 09.8 S11 49.5
O
N 6 | 178 19.6 | 235 02.7 S21 45.6 | 334 42.4 S 8 14.7 | 307 04.6 S17 36.2 | 203 12.1 S11 49.4
D 7 | 193 22.1 | 250 01.9 S21 45.0 | 349 43.5 S 8 15.3 | 322 06.6 S17 36.3 | 218 14.4 S11 49.4
A 8 | 208 24.5 | 265 01.2 S21 44.3 | 4 44.6 S 8 15.8 | 337 08.6 S17 36.5 | 233 16.7 S11 49.3
Y 9 | 223 27.0 | 280 00.4 S21 43.7 | 19 45.8 S 8 16.3 | 352 10.5 S17 36.6 | 248 19.0 S11 49.2
10 | 238 29.5 | 294 59.6 S21 43.1 | 34 46.9 S 8 16.8 | 7 12.5 S17 36.7 | 263 21.3 S11 49.2
11 | 253 31.9 | 309 58.9 S21 42.4 | 49 48.0 S 8 17.3 | 22 14.4 S17 36.8 | 278 23.6 S11 49.1
12 | 268 34.4 | 324 58.1 S21 41.8 | 64 49.1 S 8 17.8 | 37 16.4 S17 36.9 | 293 25.9 S11 49.0
13 | 283 36.9 | 339 57.3 S21 41.1 | 79 50.2 S 8 18.4 | 52 18.4 S17 37.1 | 308 28.2 S11 49.0
14 | 298 39.3 | 354 56.6 S21 40.5 | 94 51.3 S 8 18.9 | 67 20.3 S17 37.2 | 323 30.5 S11 48.9
15 | 313 41.8 | 9 55.8 S21 39.8 | 109 52.4 S 8 19.4 | 82 22.3 S17 37.3 | 338 32.8 S11 48.8
16 | 328 44.3 | 24 55.0 S21 39.2 | 124 53.6 S 8 19.9 | 97 24.2 S17 37.4 | 353 35.1 S11 48.8
17 | 343 46.7 | 39 54.3 S21 38.5 | 139 54.7 S 8 20.4 | 112 26.2 S17 37.5 | 8 37.4 S11 48.7
18 | 358 49.2 | 54 53.5 S21 37.9 | 154 55.8 S 8 20.9 | 127 28.2 S17 37.7 | 23 39.7 S11 48.6
19 | 13 51.7 | 69 52.8 S21 37.2 | 169 56.9 S 8 21.5 | 142 30.1 S17 37.8 | 38 41.9 S11 48.6
20 | 28 54.1 | 84 52.0 S21 36.6 | 184 58.0 S 8 22.0 | 157 32.1 S17 37.9 | 53 44.2 S11 48.5
21 | 43 56.6 | 99 51.2 S21 35.9 | 199 59.1 S 8 22.5 | 172 34.0 S17 38.0 | 68 46.5 S11 48.4
22 | 58 59.0 | 114 50.5 S21 35.3 | 215 00.2 S 8 23.0 | 187 36.0 S17 38.1 | 83 48.8 S11 48.4
23 | 74 01.5 | 129 49.7 S21 34.6 | 230 01.4 S 8 23.5 | 202 38.0 S17 38.3 | 98 51.1 S11 48.3
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 89 04.0 | 144 49.0 S21 34.0 | 245 02.5 S 8 24.0 | 217 39.9 S17 38.4 | 113 53.4 S11 48.2
1 | 104 06.4 | 159 48.2 S21 33.3 | 260 03.6 S 8 24.6 | 232 41.9 S17 38.5 | 128 55.7 S11 48.2
2 | 119 08.9 | 174 47.4 S21 32.7 | 275 04.7 S 8 25.1 | 247 43.9 S17 38.6 | 143 58.0 S11 48.1
3 | 134 11.4 | 189 46.7 S21 32.0 | 290 05.8 S 8 25.6 | 262 45.8 S17 38.7 | 159 00.3 S11 48.0
4 | 149 13.8 | 204 45.9 S21 31.3 | 305 06.9 S 8 26.1 | 277 47.8 S17 38.9 | 174 02.6 S11 47.9
T 5 | 164 16.3 | 219 45.2 S21 30.7 | 320 08.0 S 8 26.6 | 292 49.7 S17 39.0 | 189 04.9 S11 47.9
U
E 6 | 179 18.8 | 234 44.4 S21 30.0 | 335 09.2 S 8 27.1 | 307 51.7 S17 39.1 | 204 07.2 S11 47.8
S 7 | 194 21.2 | 249 43.7 S21 29.4 | 350 10.3 S 8 27.6 | 322 53.7 S17 39.2 | 219 09.4 S11 47.7
D 8 | 209 23.7 | 264 42.9 S21 28.7 | 5 11.4 S 8 28.2 | 337 55.6 S17 39.3 | 234 11.7 S11 47.7
A 9 | 224 26.2 | 279 42.1 S21 28.0 | 20 12.5 S 8 28.7 | 352 57.6 S17 39.5 | 249 14.0 S11 47.6
Y 10 | 239 28.6 | 294 41.4 S21 27.4 | 35 13.6 S 8 29.2 | 7 59.6 S17 39.6 | 264 16.3 S11 47.5
11 | 254 31.1 | 309 40.6 S21 26.7 | 50 14.7 S 8 29.7 | 23 01.5 S17 39.7 | 279 18.6 S11 47.5
12 | 269 33.5 | 324 39.9 S21 26.0 | 65 15.8 S 8 30.2 | 38 03.5 S17 39.8 | 294 20.9 S11 47.4
13 | 284 36.0 | 339 39.1 S21 25.3 | 80 17.0 S 8 30.7 | 53 05.4 S17 39.9 | 309 23.2 S11 47.3
14 | 299 38.5 | 354 38.4 S21 24.7 | 95 18.1 S 8 31.2 | 68 07.4 S17 40.1 | 324 25.5 S11 47.3
15 | 314 40.9 | 9 37.6 S21 24.0 | 110 19.2 S 8 31.8 | 83 09.4 S17 40.2 | 339 27.8 S11 47.2
16 | 329 43.4 | 24 36.9 S21 23.3 | 125 20.3 S 8 32.3 | 98 11.3 S17 40.3 | 354 30.1 S11 47.1
17 | 344 45.9 | 39 36.1 S21 22.7 | 140 21.4 S 8 32.8 | 113 13.3 S17 40.4 | 9 32.4 S11 47.1
18 | 359 48.3 | 54 35.4 S21 22.0 | 155 22.5 S 8 33.3 | 128 15.3 S17 40.5 | 24 34.6 S11 47.0
19 | 14 50.8 | 69 34.6 S21 21.3 | 170 23.6 S 8 33.8 | 143 17.2 S17 40.7 | 39 36.9 S11 46.9
20 | 29 53.3 | 84 33.9 S21 20.6 | 185 24.8 S 8 34.3 | 158 19.2 S17 40.8 | 54 39.2 S11 46.9
21 | 44 55.7 | 99 33.1 S21 20.0 | 200 25.9 S 8 34.8 | 173 21.1 S17 40.9 | 69 41.5 S11 46.8
22 | 59 58.2 | 114 32.4 S21 19.3 | 215 27.0 S 8 35.4 | 188 23.1 S17 41.0 | 84 43.8 S11 46.7
23 | 75 00.7 | 129 31.7 S21 18.6 | 230 28.1 S 8 35.9 | 203 25.1 S17 41.1 | 99 46.1 S11 46.6
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| v -0.8 d 0.6 | v 1.1 d 0.5 | v 2.0 d 0.1 | v 2.3 d 0.1
2788 DEC. 18, 19, 20 (SUN, MON, TUE)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
18 0 | 181 14.6 S23 17.1 | 202 36.9 8.2 S26 18.2 6.0 56.3 | Acamar 307 53.3 S37 10.7
1 | 196 14.3 S23 17.2 | 217 04.0 8.1 S26 24.0 5.8 56.3 | Achernar 328 10.5 S53 15.6
2 | 211 14.0 S23 17.2 | 231 31.1 8.1 S26 29.7 5.7 56.3 | Acrux 162 13.8 S67 26.8
3 | 226 13.7 S23 17.3 | 245 58.1 8.0 S26 35.2 5.5 56.3 | Adhara 247 31.4 S30 04.3
4 | 241 13.4 S23 17.4 | 260 25.1 8.0 S26 40.6 5.4 56.2 | Albireo 59 18.7 N29 38.5
S 5 | 256 13.1 S23 17.4 | 274 52.1 8.0 S26 45.9 5.2 56.2 |
U | | | Aldebaran 279 38.0 N18 02.8
N 6 | 271 12.8 S23 17.5 | 289 19.0 7.9 S26 51.0 5.1 56.2 | Alioth 157 47.9 N51 41.8
D 7 | 286 12.5 S23 17.6 | 303 46.0 7.9 S26 55.9 4.9 56.2 | Alkaid 145 18.0 N45 23.9
A 8 | 301 12.2 S23 17.6 | 318 12.9 7.9 S27 00.7 4.8 56.2 | Al Na-ir 15 32.2 S43 08.1
Y 9 | 316 11.9 S23 17.7 | 332 39.7 7.9 S27 05.4 4.6 56.1 | Alnilam 265 52.5 S 0 44.4
10 | 331 11.6 S23 17.8 | 347 06.6 7.8 S27 09.8 4.5 56.1 |
11 | 346 11.4 S23 17.8 | 1 33.4 7.8 S27 14.2 4.3 56.1 | Alphard 208 21.3 S12 05.5
| | | Alphecca 117 55.2 N24 05.6
12 | 1 11.1 S23 17.9 | 16 00.2 7.8 S27 18.3 4.2 56.1 | Alpheratz 347 37.6 N33 26.0
13 | 16 10.8 S23 18.0 | 30 27.0 7.8 S27 22.4 4.0 56.1 | Altair 52 38.2 N10 58.8
14 | 31 10.5 S23 18.0 | 44 53.7 7.8 S27 26.2 3.9 56.0 | Ankaa 343 39.4 S38 02.8
15 | 46 10.2 S23 18.1 | 59 20.5 7.7 S27 30.0 3.7 56.0 |
16 | 61 09.9 S23 18.1 | 73 47.2 7.7 S27 33.5 3.6 56.0 | Antares 100 29.6 S28 07.9
17 | 76 09.6 S23 18.2 | 88 13.9 7.7 S27 36.9 3.4 56.0 | Arcturus 137 02.0 N15 06.3
| | | Atria 86 49.7 S70 23.4
18 | 91 09.3 S23 18.3 | 102 40.6 7.7 S27 40.2 3.2 56.0 | Avior 230 15.5 S62 03.0
19 | 106 09.0 S23 18.3 | 117 07.3 7.7 S27 43.3 3.1 55.9 | Bellatrix 268 04.5 N 7 01.1
20 | 121 08.7 S23 18.4 | 131 34.0 7.7 S27 46.2 2.9 55.9 |
21 | 136 08.4 S23 18.4 | 146 00.6 7.7 S27 49.0 2.8 55.9 | Betelgeuse 260 28.1 N 7 30.6
22 | 151 08.1 S23 18.5 | 160 27.3 7.7 S27 51.6 2.6 55.9 | Canopus 259 32.9 S53 08.6
23 | 166 07.8 S23 18.5 | 174 54.0 7.7 S27 54.1 2.5 55.9 | Capella 266 11.3 N46 44.4
------+-------------------+----------------------------------| Castor 233 43.9 N30 07.1
19 0 | 181 07.5 S23 18.6 | 189 20.6 7.7 S27 56.4 2.3 55.8 | Deneb 42 51.6 N48 06.8
1 | 196 07.2 S23 18.6 | 203 47.3 7.7 S27 58.5 2.2 55.8 |
2 | 211 06.9 S23 18.7 | 218 14.0 7.7 S28 00.5 2.0 55.8 | Denebola 172 38.0 N10 10.4
3 | 226 06.6 S23 18.7 | 232 40.6 7.7 S28 02.4 1.8 55.8 | Diphda 339 09.4 S13 40.8
4 | 241 06.3 S23 18.8 | 247 07.3 7.7 S28 04.1 1.7 55.8 | Dubhe 181 57.7 N57 29.2
M 5 | 256 06.0 S23 18.8 | 261 34.0 7.7 S28 05.6 1.5 55.7 | Elnath 265 53.8 N29 13.2
O | | | Eltanin 86 12.2 N51 24.8
N 6 | 271 05.7 S23 18.9 | 276 00.7 7.7 S28 07.0 1.4 55.7 |
D 7 | 286 05.4 S23 18.9 | 290 27.4 7.7 S28 08.2 1.2 55.7 | Enif 24 13.0 N13 30.2
A 8 | 301 05.1 S23 19.0 | 304 54.1 7.7 S28 09.3 1.1 55.7 | Fomalhaut 4 40.3 S25 26.8
Y 9 | 316 04.8 S23 19.0 | 319 20.8 7.7 S28 10.2 0.9 55.7 | Gacrux 161 08.4 S61 30.3
10 | 331 04.5 S23 19.1 | 333 47.6 7.7 S28 10.9 0.8 55.7 | Gienah 165 50.2 S21 54.2
11 | 346 04.2 S23 19.1 | 348 14.3 7.8 S28 11.5 0.6 55.6 | Hadar 134 58.1 S64 08.0
| | |
12 | 1 03.9 S23 19.2 | 2 41.1 7.8 S28 12.0 0.4 55.6 | Hamal 317 00.2 N27 09.5
13 | 16 03.6 S23 19.2 | 17 07.9 7.8 S28 12.2 0.3 55.6 | Kaus Austr. 70 50.1 S33 57.8
14 | 31 03.3 S23 19.3 | 31 34.7 7.8 S28 12.4 0.1 55.6 | Kochab 137 40.2 N70 56.0
15 | 46 03.0 S23 19.3 | 46 01.5 7.8 S28 12.3 0.0 55.6 | Markab 3 55.5 N19 26.8
16 | 61 02.7 S23 19.3 | 60 28.4 7.9 S28 12.2 0.2 55.5 | Menkar 304 02.9 N 7 08.6
17 | 76 02.4 S23 19.4 | 74 55.3 7.9 S28 11.8 0.3 55.5 |
| | | Menkent 136 37.9 S40 12.8
18 | 91 02.1 S23 19.4 | 89 22.2 7.9 S28 11.4 0.5 55.5 | Miaplacidus 219 30.2 S72 57.4
19 | 106 01.8 S23 19.5 | 103 49.2 8.0 S28 10.7 0.6 55.5 | Mirfak 294 43.1 N52 37.0
20 | 121 01.5 S23 19.5 | 118 16.2 8.0 S28 09.9 0.8 55.5 | Nunki 63 55.6 S25 16.4
21 | 136 01.2 S23 19.5 | 132 43.2 8.0 S28 09.0 0.9 55.4 | Peacock 38 02.8 S54 10.1
22 | 151 00.9 S23 19.6 | 147 10.2 8.1 S28 07.9 1.1 55.4 |
23 | 166 00.6 S23 19.6 | 161 37.3 8.1 S28 06.6 1.2 55.4 | Polaris 123 17.9 N92 47.6
------+-------------------+----------------------------------| Pollux 231 34.3 N26 04.9
20 0 | 181 00.3 S23 19.6 | 176 04.5 8.1 S28 05.2 1.4 55.4 | Procyon 234 48.2 N 3 10.2
1 | 196 00.0 S23 19.7 | 190 31.6 8.2 S28 03.7 1.5 55.4 | Rasalhague 87 03.5 N12 01.5
2 | 210 59.7 S23 19.7 | 204 58.9 8.2 S28 02.0 1.7 55.3 | Regulus 197 21.9 N 8 06.2
3 | 225 59.4 S23 19.7 | 219 26.1 8.3 S28 00.2 1.8 55.3 |
4 | 240 59.1 S23 19.8 | 233 53.4 8.3 S27 58.2 2.0 55.3 | Rigel 271 49.2 S 7 19.9
T 5 | 255 58.8 S23 19.8 | 248 20.8 8.3 S27 56.0 2.1 55.3 | Rigil Kent 126 34.0 S64 02.7
U | | | Sabik 91 02.5 S16 39.2
E 6 | 270 58.5 S23 19.8 | 262 48.2 8.4 S27 53.7 2.3 55.3 | Schedar 338 32.5 N60 50.8
S 7 | 285 58.2 S23 19.9 | 277 15.6 8.4 S27 51.3 2.4 55.3 | Shaula 83 09.5 S37 37.4
D 8 | 300 57.9 S23 19.9 | 291 43.1 8.5 S27 48.7 2.6 55.2 |
A 9 | 315 57.6 S23 19.9 | 306 10.7 8.5 S27 46.0 2.7 55.2 | Sirius 249 57.8 S17 49.8
Y 10 | 330 57.3 S23 19.9 | 320 38.3 8.6 S27 43.1 2.9 55.2 | Spica 148 14.6 S15 14.9
11 | 345 57.0 S23 20.0 | 335 05.9 8.7 S27 40.1 3.0 55.2 | Suhail 215 40.3 S46 37.4
| | | Vega 74 01.8 N39 32.6
12 | 0 56.7 S23 20.0 | 349 33.6 8.7 S27 37.0 3.2 55.2 | Zuben-ubi 126 37.7 S19 16.7
13 | 15 56.4 S23 20.0 | 4 01.4 8.8 S27 33.7 3.3 55.1 |
14 | 30 56.1 S23 20.0 | 18 29.2 8.8 S27 30.2 3.4 55.1 |
15 | 45 55.8 S23 20.1 | 32 57.1 8.9 S27 26.6 3.6 55.1 |
16 | 60 55.5 S23 20.1 | 47 25.1 9.0 S27 22.9 3.7 55.1 |
17 | 75 55.2 S23 20.1 | 61 53.1 9.0 S27 19.1 3.9 55.1 |
| | |
18 | 90 54.9 S23 20.1 | 76 21.2 9.1 S27 15.1 4.0 55.1 |
19 | 105 54.6 S23 20.1 | 90 49.3 9.1 S27 10.9 4.1 55.0 |
20 | 120 54.3 S23 20.2 | 105 17.5 9.2 S27 06.7 4.3 55.0 |
21 | 135 54.0 S23 20.2 | 119 45.8 9.3 S27 02.2 4.4 55.0 |
22 | 150 53.7 S23 20.2 | 134 14.1 9.3 S26 57.7 4.5 55.0 |
23 | 165 53.4 S23 20.2 | 148 42.5 9.4 S26 53.0 4.7 55.0 |
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|S.D. 16.2 d 0.0 | S.D. 15.3 15.2 15.0 |
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