
3045 DEC. 19, 20, 21 (FRI, SAT, SUN)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 51.3 | 184 23.0 S23 01.0 | 73 46.3 N 5 51.6 | 320 53.0 N19 10.1 | 195 53.9 S20 31.5
1 | 102 53.8 | 199 22.1 S23 01.3 | 88 47.7 N 5 52.1 | 335 55.7 N19 10.2 | 210 56.1 S20 31.5
2 | 117 56.3 | 214 21.1 S23 01.5 | 103 49.1 N 5 52.7 | 350 58.3 N19 10.2 | 225 58.2 S20 31.6
3 | 132 58.7 | 229 20.2 S23 01.7 | 118 50.5 N 5 53.2 | 6 01.0 N19 10.3 | 241 00.4 S20 31.6
4 | 148 01.2 | 244 19.2 S23 02.0 | 133 51.9 N 5 53.7 | 21 03.7 N19 10.3 | 256 02.5 S20 31.7
F 5 | 163 03.7 | 259 18.3 S23 02.2 | 148 53.3 N 5 54.3 | 36 06.4 N19 10.4 | 271 04.7 S20 31.7
R
I 6 | 178 06.1 | 274 17.3 S23 02.5 | 163 54.6 N 5 54.8 | 51 09.1 N19 10.5 | 286 06.8 S20 31.7
D 7 | 193 08.6 | 289 16.4 S23 02.7 | 178 56.0 N 5 55.4 | 66 11.7 N19 10.5 | 301 09.0 S20 31.8
A 8 | 208 11.1 | 304 15.5 S23 02.9 | 193 57.4 N 5 55.9 | 81 14.4 N19 10.6 | 316 11.1 S20 31.8
Y 9 | 223 13.5 | 319 14.5 S23 03.1 | 208 58.8 N 5 56.4 | 96 17.1 N19 10.6 | 331 13.3 S20 31.8
10 | 238 16.0 | 334 13.6 S23 03.4 | 224 00.2 N 5 57.0 | 111 19.8 N19 10.7 | 346 15.4 S20 31.9
11 | 253 18.4 | 349 12.6 S23 03.6 | 239 01.6 N 5 57.5 | 126 22.5 N19 10.7 | 1 17.6 S20 31.9
12 | 268 20.9 | 4 11.7 S23 03.8 | 254 03.0 N 5 58.1 | 141 25.2 N19 10.8 | 16 19.7 S20 31.9
13 | 283 23.4 | 19 10.7 S23 04.1 | 269 04.4 N 5 58.6 | 156 27.8 N19 10.9 | 31 21.9 S20 32.0
14 | 298 25.8 | 34 09.8 S23 04.3 | 284 05.8 N 5 59.1 | 171 30.5 N19 10.9 | 46 24.1 S20 32.0
15 | 313 28.3 | 49 08.8 S23 04.5 | 299 07.1 N 5 59.7 | 186 33.2 N19 11.0 | 61 26.2 S20 32.0
16 | 328 30.8 | 64 07.9 S23 04.7 | 314 08.5 N 6 00.2 | 201 35.9 N19 11.0 | 76 28.4 S20 32.1
17 | 343 33.2 | 79 07.0 S23 05.0 | 329 09.9 N 6 00.8 | 216 38.6 N19 11.1 | 91 30.5 S20 32.1
18 | 358 35.7 | 94 06.0 S23 05.2 | 344 11.3 N 6 01.3 | 231 41.3 N19 11.1 | 106 32.7 S20 32.2
19 | 13 38.2 | 109 05.1 S23 05.4 | 359 12.7 N 6 01.8 | 246 43.9 N19 11.2 | 121 34.8 S20 32.2
20 | 28 40.6 | 124 04.1 S23 05.6 | 14 14.1 N 6 02.4 | 261 46.6 N19 11.3 | 136 37.0 S20 32.2
21 | 43 43.1 | 139 03.2 S23 05.8 | 29 15.4 N 6 02.9 | 276 49.3 N19 11.3 | 151 39.1 S20 32.3
22 | 58 45.6 | 154 02.2 S23 06.0 | 44 16.8 N 6 03.5 | 291 52.0 N19 11.4 | 166 41.3 S20 32.3
23 | 73 48.0 | 169 01.3 S23 06.3 | 59 18.2 N 6 04.0 | 306 54.7 N19 11.4 | 181 43.4 S20 32.3
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 50.5 | 184 00.3 S23 06.5 | 74 19.6 N 6 04.5 | 321 57.4 N19 11.5 | 196 45.6 S20 32.4
1 | 103 52.9 | 198 59.4 S23 06.7 | 89 21.0 N 6 05.1 | 337 00.0 N19 11.5 | 211 47.7 S20 32.4
2 | 118 55.4 | 213 58.4 S23 06.9 | 104 22.4 N 6 05.6 | 352 02.7 N19 11.6 | 226 49.9 S20 32.4
3 | 133 57.9 | 228 57.5 S23 07.1 | 119 23.7 N 6 06.2 | 7 05.4 N19 11.7 | 241 52.1 S20 32.5
4 | 149 00.3 | 243 56.5 S23 07.3 | 134 25.1 N 6 06.7 | 22 08.1 N19 11.7 | 256 54.2 S20 32.5
S 5 | 164 02.8 | 258 55.6 S23 07.5 | 149 26.5 N 6 07.2 | 37 10.8 N19 11.8 | 271 56.4 S20 32.6
A
T 6 | 179 05.3 | 273 54.7 S23 07.7 | 164 27.9 N 6 07.8 | 52 13.5 N19 11.8 | 286 58.5 S20 32.6
U 7 | 194 07.7 | 288 53.7 S23 07.9 | 179 29.2 N 6 08.3 | 67 16.2 N19 11.9 | 302 00.7 S20 32.6
R 8 | 209 10.2 | 303 52.8 S23 08.1 | 194 30.6 N 6 08.9 | 82 18.9 N19 12.0 | 317 02.8 S20 32.7
D 9 | 224 12.7 | 318 51.8 S23 08.3 | 209 32.0 N 6 09.4 | 97 21.5 N19 12.0 | 332 05.0 S20 32.7
A 10 | 239 15.1 | 333 50.9 S23 08.5 | 224 33.4 N 6 09.9 | 112 24.2 N19 12.1 | 347 07.1 S20 32.7
Y 11 | 254 17.6 | 348 49.9 S23 08.7 | 239 34.8 N 6 10.5 | 127 26.9 N19 12.1 | 2 09.3 S20 32.8
12 | 269 20.0 | 3 49.0 S23 08.9 | 254 36.1 N 6 11.0 | 142 29.6 N19 12.2 | 17 11.4 S20 32.8
13 | 284 22.5 | 18 48.0 S23 09.1 | 269 37.5 N 6 11.6 | 157 32.3 N19 12.2 | 32 13.6 S20 32.8
14 | 299 25.0 | 33 47.1 S23 09.3 | 284 38.9 N 6 12.1 | 172 35.0 N19 12.3 | 47 15.7 S20 32.9
15 | 314 27.4 | 48 46.1 S23 09.5 | 299 40.3 N 6 12.7 | 187 37.7 N19 12.4 | 62 17.9 S20 32.9
16 | 329 29.9 | 63 45.2 S23 09.7 | 314 41.6 N 6 13.2 | 202 40.4 N19 12.4 | 77 20.1 S20 32.9
17 | 344 32.4 | 78 44.2 S23 09.9 | 329 43.0 N 6 13.7 | 217 43.1 N19 12.5 | 92 22.2 S20 33.0
18 | 359 34.8 | 93 43.3 S23 10.1 | 344 44.4 N 6 14.3 | 232 45.7 N19 12.5 | 107 24.4 S20 33.0
19 | 14 37.3 | 108 42.3 S23 10.3 | 359 45.7 N 6 14.8 | 247 48.4 N19 12.6 | 122 26.5 S20 33.0
20 | 29 39.8 | 123 41.4 S23 10.5 | 14 47.1 N 6 15.4 | 262 51.1 N19 12.7 | 137 28.7 S20 33.1
21 | 44 42.2 | 138 40.4 S23 10.6 | 29 48.5 N 6 15.9 | 277 53.8 N19 12.7 | 152 30.8 S20 33.1
22 | 59 44.7 | 153 39.5 S23 10.8 | 44 49.9 N 6 16.4 | 292 56.5 N19 12.8 | 167 33.0 S20 33.2
23 | 74 47.2 | 168 38.5 S23 11.0 | 59 51.2 N 6 17.0 | 307 59.2 N19 12.8 | 182 35.1 S20 33.2
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 49.6 | 183 37.6 S23 11.2 | 74 52.6 N 6 17.5 | 323 01.9 N19 12.9 | 197 37.3 S20 33.2
1 | 104 52.1 | 198 36.6 S23 11.4 | 89 54.0 N 6 18.1 | 338 04.6 N19 13.0 | 212 39.4 S20 33.3
2 | 119 54.5 | 213 35.7 S23 11.6 | 104 55.3 N 6 18.6 | 353 07.3 N19 13.0 | 227 41.6 S20 33.3
3 | 134 57.0 | 228 34.7 S23 11.7 | 119 56.7 N 6 19.2 | 8 10.0 N19 13.1 | 242 43.8 S20 33.3
4 | 149 59.5 | 243 33.8 S23 11.9 | 134 58.1 N 6 19.7 | 23 12.7 N19 13.1 | 257 45.9 S20 33.4
S 5 | 165 01.9 | 258 32.8 S23 12.1 | 149 59.4 N 6 20.2 | 38 15.4 N19 13.2 | 272 48.1 S20 33.4
U
N 6 | 180 04.4 | 273 31.9 S23 12.3 | 165 00.8 N 6 20.8 | 53 18.1 N19 13.2 | 287 50.2 S20 33.4
D 7 | 195 06.9 | 288 30.9 S23 12.4 | 180 02.2 N 6 21.3 | 68 20.8 N19 13.3 | 302 52.4 S20 33.5
A 8 | 210 09.3 | 303 30.0 S23 12.6 | 195 03.5 N 6 21.9 | 83 23.5 N19 13.4 | 317 54.5 S20 33.5
Y 9 | 225 11.8 | 318 29.0 S23 12.8 | 210 04.9 N 6 22.4 | 98 26.1 N19 13.4 | 332 56.7 S20 33.5
10 | 240 14.3 | 333 28.0 S23 13.0 | 225 06.3 N 6 23.0 | 113 28.8 N19 13.5 | 347 58.8 S20 33.6
11 | 255 16.7 | 348 27.1 S23 13.1 | 240 07.6 N 6 23.5 | 128 31.5 N19 13.5 | 3 01.0 S20 33.6
12 | 270 19.2 | 3 26.1 S23 13.3 | 255 09.0 N 6 24.0 | 143 34.2 N19 13.6 | 18 03.2 S20 33.7
13 | 285 21.7 | 18 25.2 S23 13.5 | 270 10.4 N 6 24.6 | 158 36.9 N19 13.7 | 33 05.3 S20 33.7
14 | 300 24.1 | 33 24.2 S23 13.6 | 285 11.7 N 6 25.1 | 173 39.6 N19 13.7 | 48 07.5 S20 33.7
15 | 315 26.6 | 48 23.3 S23 13.8 | 300 13.1 N 6 25.7 | 188 42.3 N19 13.8 | 63 09.6 S20 33.8
16 | 330 29.0 | 63 22.3 S23 14.0 | 315 14.5 N 6 26.2 | 203 45.0 N19 13.8 | 78 11.8 S20 33.8
17 | 345 31.5 | 78 21.4 S23 14.1 | 330 15.8 N 6 26.8 | 218 47.7 N19 13.9 | 93 13.9 S20 33.8
18 | 0 34.0 | 93 20.4 S23 14.3 | 345 17.2 N 6 27.3 | 233 50.4 N19 14.0 | 108 16.1 S20 33.9
19 | 15 36.4 | 108 19.5 S23 14.4 | 0 18.5 N 6 27.8 | 248 53.1 N19 14.0 | 123 18.2 S20 33.9
20 | 30 38.9 | 123 18.5 S23 14.6 | 15 19.9 N 6 28.4 | 263 55.8 N19 14.1 | 138 20.4 S20 33.9
21 | 45 41.4 | 138 17.6 S23 14.8 | 30 21.3 N 6 28.9 | 278 58.5 N19 14.1 | 153 22.5 S20 34.0
22 | 60 43.8 | 153 16.6 S23 14.9 | 45 22.6 N 6 29.5 | 294 01.2 N19 14.2 | 168 24.7 S20 34.0
23 | 75 46.3 | 168 15.7 S23 15.1 | 60 24.0 N 6 30.0 | 309 03.9 N19 14.3 | 183 26.9 S20 34.0
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| v -0.9 d 0.2 | v 1.4 d 0.5 | v 2.7 d 0.1 | v 2.2 d 0.0
3045 DEC. 19, 20, 21 (FRI, SAT, SUN)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 15.7 S23 16.1 | 322 10.5 4.9 N24 09.3 6.9 59.5 | Acamar 305 24.8 S36 10.0
1 | 196 15.4 S23 16.2 | 336 34.4 4.9 N24 02.2 7.1 59.5 | Achernar 325 44.9 S51 58.2
2 | 211 15.1 S23 16.2 | 350 58.4 5.0 N23 55.0 7.2 59.5 | Acrux 158 35.3 S68 51.3
3 | 226 14.9 S23 16.3 | 5 22.5 5.1 N23 47.6 7.4 59.5 | Adhara 244 57.4 S30 25.8
4 | 241 14.6 S23 16.3 | 19 46.6 5.1 N23 40.0 7.6 59.5 | Albireo 56 40.8 N30 11.2
F 5 | 256 14.3 S23 16.4 | 34 10.8 5.2 N23 32.3 7.7 59.6 |
R | | | Aldebaran 275 54.7 N18 32.6
I 6 | 271 14.0 S23 16.4 | 48 35.0 5.3 N23 24.4 7.9 59.6 | Alioth 154 56.9 N50 19.0
D 7 | 286 13.7 S23 16.5 | 62 59.4 5.3 N23 16.4 8.0 59.6 | Alkaid 142 44.0 N44 08.0
A 8 | 301 13.4 S23 16.5 | 77 23.8 5.4 N23 08.2 8.2 59.6 | Al Na-ir 11 29.0 S41 53.7
Y 9 | 316 13.1 S23 16.6 | 91 48.3 5.5 N22 59.9 8.3 59.6 | Alnilam 262 34.7 S 0 35.6
10 | 331 12.8 S23 16.6 | 106 12.8 5.6 N22 51.4 8.5 59.6 |
11 | 346 12.5 S23 16.7 | 120 37.5 5.6 N22 42.8 8.6 59.6 | Alphard 205 09.9 S13 12.2
| | | Alphecca 115 09.6 N23 14.8
12 | 1 12.2 S23 16.7 | 135 02.2 5.7 N22 34.0 8.8 59.6 | Alpheratz 344 15.8 N34 50.3
13 | 16 11.9 S23 16.8 | 149 27.0 5.8 N22 25.0 8.9 59.6 | Altair 49 28.1 N11 40.0
14 | 31 11.7 S23 16.8 | 163 51.9 5.9 N22 16.0 9.1 59.6 | Ankaa 340 27.5 S36 40.0
15 | 46 11.4 S23 16.9 | 178 16.8 6.0 N22 06.7 9.2 59.6 |
16 | 61 11.1 S23 16.9 | 192 41.9 6.0 N21 57.4 9.4 59.6 | Antares 96 31.2 S28 40.8
17 | 76 10.8 S23 17.0 | 207 07.0 6.1 N21 47.9 9.5 59.6 | Arcturus 134 04.0 N13 47.1
| | | Atria 79 59.1 S70 49.8
18 | 91 10.5 S23 17.0 | 221 32.2 6.2 N21 38.2 9.6 59.6 | Avior 228 53.5 S62 52.5
19 | 106 10.2 S23 17.1 | 235 57.5 6.3 N21 28.5 9.8 59.6 | Bellatrix 264 35.7 N 7 14.0
20 | 121 09.9 S23 17.1 | 250 22.9 6.4 N21 18.5 9.9 59.6 |
21 | 136 09.6 S23 17.2 | 264 48.3 6.5 N21 08.5 10.1 59.6 | Betelgeuse 256 57.5 N 7 32.5
22 | 151 09.3 S23 17.2 | 279 13.9 6.5 N20 58.3 10.2 59.6 | Canopus 258 04.3 S53 17.4
23 | 166 09.0 S23 17.2 | 293 39.5 6.6 N20 48.0 10.3 59.6 | Capella 261 24.8 N46 58.6
------+-------------------+----------------------------------| Castor 229 36.8 N29 32.7
20 0 | 181 08.7 S23 17.3 | 308 05.2 6.7 N20 37.5 10.5 59.6 | Deneb 40 37.5 N49 01.9
1 | 196 08.4 S23 17.3 | 322 31.0 6.8 N20 26.9 10.6 59.6 |
2 | 211 08.2 S23 17.4 | 336 56.9 6.9 N20 16.2 10.7 59.6 | Denebola 169 19.6 N 8 44.9
3 | 226 07.9 S23 17.4 | 351 22.9 7.0 N20 05.4 10.8 59.6 | Diphda 335 54.1 S12 17.1
4 | 241 07.6 S23 17.4 | 5 48.9 7.1 N19 54.4 11.0 59.6 | Dubhe 178 00.6 N56 06.4
S 5 | 256 07.3 S23 17.5 | 20 15.1 7.1 N19 43.4 11.1 59.6 | Elnath 261 48.3 N29 25.0
A | | | Eltanin 84 39.7 N51 23.4
T 6 | 271 07.0 S23 17.5 | 34 41.3 7.2 N19 32.2 11.2 59.6 |
U 7 | 286 06.7 S23 17.6 | 49 07.6 7.3 N19 20.8 11.3 59.6 | Enif 21 01.7 N14 40.7
R 8 | 301 06.4 S23 17.6 | 63 34.0 7.4 N19 09.4 11.4 59.6 | Fomalhaut 1 06.1 S24 05.6
D 9 | 316 06.1 S23 17.6 | 78 00.5 7.5 N18 57.8 11.6 59.6 | Gacrux 157 31.0 S62 55.7
A 10 | 331 05.8 S23 17.7 | 92 27.1 7.6 N18 46.2 11.7 59.6 | Gienah 162 29.6 S23 19.0
Y 11 | 346 05.5 S23 17.7 | 106 53.8 7.7 N18 34.4 11.8 59.6 | Hadar 130 22.2 S65 21.1
| | |
12 | 1 05.2 S23 17.7 | 121 20.6 7.8 N18 22.5 11.9 59.6 | Hamal 313 20.5 N28 21.2
13 | 16 04.9 S23 17.7 | 135 47.4 7.8 N18 10.5 12.0 59.6 | Kaus Austr. 66 32.9 S33 49.5
14 | 31 04.6 S23 17.8 | 150 14.3 7.9 N17 58.4 12.1 59.6 | Kochab 137 44.8 N69 53.5
15 | 46 04.4 S23 17.8 | 164 41.4 8.0 N17 46.2 12.2 59.6 | Markab 0 41.3 N20 49.2
16 | 61 04.1 S23 17.8 | 179 08.5 8.1 N17 33.9 12.3 59.6 | Menkar 300 39.1 N 8 07.9
17 | 76 03.8 S23 17.9 | 193 35.7 8.2 N17 21.5 12.4 59.6 |
| | | Menkent 132 48.4 S41 27.5
18 | 91 03.5 S23 17.9 | 208 03.0 8.3 N17 08.9 12.5 59.6 | Miaplacidus 218 45.3 S74 00.5
19 | 106 03.2 S23 17.9 | 222 30.3 8.4 N16 56.3 12.6 59.6 | Mirfak 290 05.1 N53 30.5
20 | 121 02.9 S23 17.9 | 236 57.8 8.5 N16 43.6 12.7 59.6 | Nunki 59 55.2 S24 56.4
21 | 136 02.6 S23 18.0 | 251 25.3 8.5 N16 30.8 12.8 59.6 | Peacock 32 58.6 S53 20.1
22 | 151 02.3 S23 18.0 | 265 53.0 8.6 N16 17.9 12.9 59.6 |
23 | 166 02.0 S23 18.0 | 280 20.7 8.7 N16 04.9 13.0 59.6 | Polaris 58 41.9 N93 56.4
------+-------------------+----------------------------------| Pollux 227 37.2 N25 27.0
21 0 | 181 01.7 S23 18.0 | 294 48.5 8.8 N15 51.8 13.1 59.6 | Procyon 231 24.6 N 2 30.1
1 | 196 01.4 S23 18.0 | 309 16.3 8.9 N15 38.6 13.2 59.6 | Rasalhague 84 02.3 N11 51.2
2 | 211 01.1 S23 18.1 | 323 44.3 9.0 N15 25.4 13.3 59.6 | Regulus 193 55.0 N 6 51.1
3 | 226 00.8 S23 18.1 | 338 12.3 9.0 N15 12.0 13.3 59.5 |
4 | 241 00.5 S23 18.1 | 352 40.4 9.1 N14 58.6 13.4 59.5 | Rigel 268 41.8 S 7 03.1
S 5 | 256 00.2 S23 18.1 | 7 08.7 9.2 N14 45.1 13.5 59.5 | Rigil Kent 122 08.9 S65 05.0
U | | | Sabik 87 19.5 S16 57.2
N 6 | 270 60.0 S23 18.1 | 21 36.9 9.3 N14 31.5 13.6 59.5 | Schedar 334 50.1 N62 14.4
D 7 | 285 59.7 S23 18.2 | 36 05.3 9.4 N14 17.8 13.7 59.5 | Shaula 78 46.2 S37 47.5
A 8 | 300 59.4 S23 18.2 | 50 33.7 9.4 N14 04.0 13.8 59.5 |
Y 9 | 315 59.1 S23 18.2 | 65 02.2 9.5 N13 50.2 13.8 59.5 | Sirius 247 05.8 S18 11.6
10 | 330 58.8 S23 18.2 | 79 30.8 9.6 N13 36.3 13.9 59.5 | Spica 144 49.3 S16 34.3
11 | 345 58.5 S23 18.2 | 93 59.5 9.7 N13 22.3 14.0 59.5 | Suhail 213 15.8 S47 39.6
| | | Vega 71 48.7 N39 47.4
12 | 0 58.2 S23 18.2 | 108 28.3 9.7 N13 08.3 14.0 59.5 | Zuben-ubi 123 08.5 S20 19.6
13 | 15 57.9 S23 18.2 | 122 57.1 9.8 N12 54.2 14.1 59.5 |
14 | 30 57.6 S23 18.2 | 137 26.0 9.9 N12 40.0 14.2 59.5 |
15 | 45 57.3 S23 18.3 | 151 54.9 10.0 N12 25.7 14.2 59.5 |
16 | 60 57.0 S23 18.3 | 166 24.0 10.0 N12 11.4 14.3 59.5 |
17 | 75 56.7 S23 18.3 | 180 53.1 10.1 N11 57.1 14.4 59.5 |
| | |
18 | 90 56.4 S23 18.3 | 195 22.2 10.2 N11 42.6 14.4 59.4 |
19 | 105 56.1 S23 18.3 | 209 51.5 10.2 N11 28.1 14.5 59.4 |
20 | 120 55.8 S23 18.3 | 224 20.8 10.3 N11 13.6 14.6 59.4 |
21 | 135 55.5 S23 18.3 | 238 50.2 10.4 N10 59.0 14.6 59.4 |
22 | 150 55.2 S23 18.3 | 253 19.6 10.4 N10 44.3 14.7 59.4 |
23 | 165 54.9 S23 18.3 | 267 49.1 10.5 N10 29.6 14.7 59.4 |
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|S.D. 16.2 d 0.0 | S.D. 16.2 16.2 16.2 |
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