
2764 DEC. 20, 21, 22 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 88 52.5 | 146 33.3 S21 53.6 | 193 23.4 S22 56.8 | 224 32.0 S15 41.7 | 51 47.5 N11 51.6
1 | 103 54.9 | 161 32.5 S21 53.0 | 208 24.0 S22 57.0 | 239 34.0 S15 41.9 | 66 50.0 N11 51.6
2 | 118 57.4 | 176 31.7 S21 52.4 | 223 24.5 S22 57.2 | 254 36.0 S15 42.0 | 81 52.6 N11 51.5
3 | 133 59.9 | 191 31.0 S21 51.7 | 238 25.1 S22 57.4 | 269 38.0 S15 42.1 | 96 55.1 N11 51.5
4 | 149 02.3 | 206 30.2 S21 51.1 | 253 25.6 S22 57.6 | 284 40.0 S15 42.2 | 111 57.7 N11 51.5
S 5 | 164 04.8 | 221 29.4 S21 50.5 | 268 26.2 S22 57.8 | 299 42.0 S15 42.4 | 127 00.2 N11 51.5
U
N 6 | 179 07.3 | 236 28.6 S21 49.9 | 283 26.7 S22 58.0 | 314 44.0 S15 42.5 | 142 02.8 N11 51.5
D 7 | 194 09.7 | 251 27.8 S21 49.2 | 298 27.3 S22 58.2 | 329 46.0 S15 42.6 | 157 05.4 N11 51.4
A 8 | 209 12.2 | 266 27.0 S21 48.6 | 313 27.8 S22 58.4 | 344 48.0 S15 42.8 | 172 07.9 N11 51.4
Y 9 | 224 14.7 | 281 26.3 S21 48.0 | 328 28.4 S22 58.6 | 359 50.0 S15 42.9 | 187 10.5 N11 51.4
10 | 239 17.1 | 296 25.5 S21 47.4 | 343 28.9 S22 58.8 | 14 52.0 S15 43.0 | 202 13.0 N11 51.4
11 | 254 19.6 | 311 24.7 S21 46.7 | 358 29.5 S22 59.0 | 29 54.0 S15 43.2 | 217 15.6 N11 51.4
12 | 269 22.0 | 326 23.9 S21 46.1 | 13 30.0 S22 59.2 | 44 56.0 S15 43.3 | 232 18.1 N11 51.4
13 | 284 24.5 | 341 23.1 S21 45.5 | 28 30.6 S22 59.4 | 59 58.0 S15 43.4 | 247 20.7 N11 51.3
14 | 299 27.0 | 356 22.4 S21 44.8 | 43 31.1 S22 59.6 | 75 00.0 S15 43.5 | 262 23.2 N11 51.3
15 | 314 29.4 | 11 21.6 S21 44.2 | 58 31.6 S22 59.8 | 90 02.0 S15 43.7 | 277 25.8 N11 51.3
16 | 329 31.9 | 26 20.8 S21 43.6 | 73 32.2 S22 60.0 | 105 04.0 S15 43.8 | 292 28.4 N11 51.3
17 | 344 34.4 | 41 20.0 S21 42.9 | 88 32.7 S23 00.2 | 120 06.0 S15 43.9 | 307 30.9 N11 51.3
18 | 359 36.8 | 56 19.2 S21 42.3 | 103 33.3 S23 00.4 | 135 08.0 S15 44.1 | 322 33.5 N11 51.2
19 | 14 39.3 | 71 18.5 S21 41.7 | 118 33.8 S23 00.6 | 150 10.0 S15 44.2 | 337 36.0 N11 51.2
20 | 29 41.8 | 86 17.7 S21 41.0 | 133 34.4 S23 00.8 | 165 12.0 S15 44.3 | 352 38.6 N11 51.2
21 | 44 44.2 | 101 16.9 S21 40.4 | 148 34.9 S23 01.0 | 180 14.0 S15 44.4 | 7 41.1 N11 51.2
22 | 59 46.7 | 116 16.1 S21 39.7 | 163 35.5 S23 01.2 | 195 16.0 S15 44.6 | 22 43.7 N11 51.2
23 | 74 49.2 | 131 15.4 S21 39.1 | 178 36.0 S23 01.4 | 210 18.0 S15 44.7 | 37 46.2 N11 51.2
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21 0 | 89 51.6 | 146 14.6 S21 38.5 | 193 36.5 S23 01.5 | 225 20.0 S15 44.8 | 52 48.8 N11 51.1
1 | 104 54.1 | 161 13.8 S21 37.8 | 208 37.1 S23 01.7 | 240 22.0 S15 45.0 | 67 51.3 N11 51.1
2 | 119 56.5 | 176 13.0 S21 37.2 | 223 37.6 S23 01.9 | 255 24.0 S15 45.1 | 82 53.9 N11 51.1
3 | 134 59.0 | 191 12.3 S21 36.5 | 238 38.2 S23 02.1 | 270 26.0 S15 45.2 | 97 56.5 N11 51.1
4 | 150 01.5 | 206 11.5 S21 35.9 | 253 38.7 S23 02.3 | 285 28.0 S15 45.3 | 112 59.0 N11 51.1
M 5 | 165 03.9 | 221 10.7 S21 35.2 | 268 39.3 S23 02.5 | 300 30.0 S15 45.5 | 128 01.6 N11 51.0
O
N 6 | 180 06.4 | 236 10.0 S21 34.6 | 283 39.8 S23 02.7 | 315 32.0 S15 45.6 | 143 04.1 N11 51.0
D 7 | 195 08.9 | 251 09.2 S21 33.9 | 298 40.3 S23 02.9 | 330 34.0 S15 45.7 | 158 06.7 N11 51.0
A 8 | 210 11.3 | 266 08.4 S21 33.3 | 313 40.9 S23 03.1 | 345 36.0 S15 45.9 | 173 09.2 N11 51.0
Y 9 | 225 13.8 | 281 07.6 S21 32.6 | 328 41.4 S23 03.3 | 0 38.0 S15 46.0 | 188 11.8 N11 51.0
10 | 240 16.3 | 296 06.9 S21 32.0 | 343 42.0 S23 03.5 | 15 40.0 S15 46.1 | 203 14.3 N11 51.0
11 | 255 18.7 | 311 06.1 S21 31.3 | 358 42.5 S23 03.6 | 30 42.0 S15 46.2 | 218 16.9 N11 50.9
12 | 270 21.2 | 326 05.3 S21 30.7 | 13 43.1 S23 03.8 | 45 44.0 S15 46.4 | 233 19.4 N11 50.9
13 | 285 23.7 | 341 04.6 S21 30.0 | 28 43.6 S23 04.0 | 60 46.0 S15 46.5 | 248 22.0 N11 50.9
14 | 300 26.1 | 356 03.8 S21 29.3 | 43 44.1 S23 04.2 | 75 48.0 S15 46.6 | 263 24.5 N11 50.9
15 | 315 28.6 | 11 03.0 S21 28.7 | 58 44.7 S23 04.4 | 90 50.0 S15 46.7 | 278 27.1 N11 50.9
16 | 330 31.0 | 26 02.3 S21 28.0 | 73 45.2 S23 04.6 | 105 52.0 S15 46.9 | 293 29.6 N11 50.9
17 | 345 33.5 | 41 01.5 S21 27.4 | 88 45.8 S23 04.8 | 120 54.0 S15 47.0 | 308 32.2 N11 50.8
18 | 0 36.0 | 56 00.7 S21 26.7 | 103 46.3 S23 04.9 | 135 56.0 S15 47.1 | 323 34.7 N11 50.8
19 | 15 38.4 | 70 60.0 S21 26.0 | 118 46.8 S23 05.1 | 150 58.0 S15 47.3 | 338 37.3 N11 50.8
20 | 30 40.9 | 85 59.2 S21 25.4 | 133 47.4 S23 05.3 | 165 60.0 S15 47.4 | 353 39.8 N11 50.8
21 | 45 43.4 | 100 58.5 S21 24.7 | 148 47.9 S23 05.5 | 181 02.0 S15 47.5 | 8 42.4 N11 50.8
22 | 60 45.8 | 115 57.7 S21 24.0 | 163 48.5 S23 05.7 | 196 04.0 S15 47.6 | 23 44.9 N11 50.8
23 | 75 48.3 | 130 56.9 S21 23.4 | 178 49.0 S23 05.9 | 211 06.0 S15 47.8 | 38 47.5 N11 50.7
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22 0 | 90 50.8 | 145 56.2 S21 22.7 | 193 49.5 S23 06.1 | 226 08.0 S15 47.9 | 53 50.0 N11 50.7
1 | 105 53.2 | 160 55.4 S21 22.0 | 208 50.1 S23 06.2 | 241 10.0 S15 48.0 | 68 52.6 N11 50.7
2 | 120 55.7 | 175 54.7 S21 21.4 | 223 50.6 S23 06.4 | 256 12.0 S15 48.1 | 83 55.1 N11 50.7
3 | 135 58.1 | 190 53.9 S21 20.7 | 238 51.2 S23 06.6 | 271 14.0 S15 48.3 | 98 57.7 N11 50.7
4 | 151 00.6 | 205 53.1 S21 20.0 | 253 51.7 S23 06.8 | 286 16.0 S15 48.4 | 114 00.2 N11 50.7
T 5 | 166 03.1 | 220 52.4 S21 19.4 | 268 52.2 S23 07.0 | 301 18.0 S15 48.5 | 129 02.8 N11 50.6
U
E 6 | 181 05.5 | 235 51.6 S21 18.7 | 283 52.8 S23 07.1 | 316 20.0 S15 48.7 | 144 05.3 N11 50.6
S 7 | 196 08.0 | 250 50.9 S21 18.0 | 298 53.3 S23 07.3 | 331 22.0 S15 48.8 | 159 07.9 N11 50.6
D 8 | 211 10.5 | 265 50.1 S21 17.3 | 313 53.8 S23 07.5 | 346 24.0 S15 48.9 | 174 10.4 N11 50.6
A 9 | 226 12.9 | 280 49.3 S21 16.6 | 328 54.4 S23 07.7 | 1 26.0 S15 49.0 | 189 13.0 N11 50.6
Y 10 | 241 15.4 | 295 48.6 S21 16.0 | 343 54.9 S23 07.9 | 16 28.0 S15 49.2 | 204 15.5 N11 50.6
11 | 256 17.9 | 310 47.8 S21 15.3 | 358 55.5 S23 08.0 | 31 30.0 S15 49.3 | 219 18.1 N11 50.5
12 | 271 20.3 | 325 47.1 S21 14.6 | 13 56.0 S23 08.2 | 46 32.0 S15 49.4 | 234 20.6 N11 50.5
13 | 286 22.8 | 340 46.3 S21 13.9 | 28 56.5 S23 08.4 | 61 34.0 S15 49.5 | 249 23.2 N11 50.5
14 | 301 25.3 | 355 45.6 S21 13.2 | 43 57.1 S23 08.6 | 76 36.0 S15 49.7 | 264 25.7 N11 50.5
15 | 316 27.7 | 10 44.8 S21 12.6 | 58 57.6 S23 08.8 | 91 38.0 S15 49.8 | 279 28.3 N11 50.5
16 | 331 30.2 | 25 44.1 S21 11.9 | 73 58.1 S23 08.9 | 106 40.0 S15 49.9 | 294 30.8 N11 50.5
17 | 346 32.6 | 40 43.3 S21 11.2 | 88 58.7 S23 09.1 | 121 42.1 S15 50.0 | 309 33.3 N11 50.4
18 | 1 35.1 | 55 42.6 S21 10.5 | 103 59.2 S23 09.3 | 136 44.1 S15 50.2 | 324 35.9 N11 50.4
19 | 16 37.6 | 70 41.8 S21 09.8 | 118 59.8 S23 09.5 | 151 46.1 S15 50.3 | 339 38.4 N11 50.4
20 | 31 40.0 | 85 41.1 S21 09.1 | 134 00.3 S23 09.6 | 166 48.1 S15 50.4 | 354 41.0 N11 50.4
21 | 46 42.5 | 100 40.3 S21 08.4 | 149 00.8 S23 09.8 | 181 50.1 S15 50.5 | 9 43.5 N11 50.4
22 | 61 45.0 | 115 39.6 S21 07.7 | 164 01.4 S23 10.0 | 196 52.1 S15 50.7 | 24 46.1 N11 50.4
23 | 76 47.4 | 130 38.8 S21 07.0 | 179 01.9 S23 10.2 | 211 54.1 S15 50.8 | 39 48.6 N11 50.4
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| v -0.8 d 0.7 | v 0.5 d 0.2 | v 2.0 d 0.1 | v 2.6 d 0.0
2764 DEC. 20, 21, 22 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 181 01.0 S23 19.5 | 113 30.2 10.3 S15 12.2 10.8 57.9 | Acamar 308 07.5 S37 16.6
1 | 196 00.7 S23 19.6 | 127 59.6 10.4 S15 01.4 10.8 57.8 | Achernar 328 24.6 S53 23.0
2 | 211 00.4 S23 19.6 | 142 29.2 10.5 S14 50.5 10.9 57.8 | Acrux 162 34.2 S67 18.7
3 | 226 00.1 S23 19.6 | 156 58.8 10.6 S14 39.6 11.0 57.7 | Adhara 247 46.0 S30 02.4
4 | 240 59.8 S23 19.7 | 171 28.6 10.7 S14 28.6 11.0 57.7 | Albireo 59 33.7 N29 35.5
S 5 | 255 59.5 S23 19.7 | 185 58.4 10.8 S14 17.5 11.1 57.6 |
U | | | Aldebaran 279 59.1 N17 59.9
N 6 | 270 59.2 S23 19.7 | 200 28.3 10.9 S14 06.4 11.1 57.6 | Alioth 158 04.3 N51 49.7
D 7 | 285 58.9 S23 19.8 | 214 58.4 11.0 S13 55.2 11.2 57.6 | Alkaid 145 32.7 N45 31.2
A 8 | 300 58.6 S23 19.8 | 229 28.5 11.1 S13 43.9 11.2 57.5 | Al Na-ir 15 55.4 S43 15.1
Y 9 | 315 58.3 S23 19.8 | 243 58.8 11.2 S13 32.6 11.3 57.5 | Alnilam 266 11.2 S 0 45.4
10 | 330 58.0 S23 19.9 | 258 29.1 11.3 S13 21.3 11.3 57.5 |
11 | 345 57.7 S23 19.9 | 272 59.6 11.4 S13 09.9 11.4 57.4 | Alphard 208 39.5 S11 59.2
| | | Alphecca 118 11.0 N24 10.6
12 | 0 57.4 S23 19.9 | 287 30.1 11.5 S12 58.5 11.4 57.4 | Alpheratz 347 56.7 N33 18.0
13 | 15 57.1 S23 19.9 | 302 00.7 11.6 S12 47.0 11.5 57.3 | Altair 52 56.2 N10 55.1
14 | 30 56.8 S23 20.0 | 316 31.4 11.7 S12 35.4 11.5 57.3 | Ankaa 343 57.8 S38 10.7
15 | 45 56.5 S23 20.0 | 331 02.2 11.8 S12 23.8 11.6 57.3 |
16 | 60 56.2 S23 20.0 | 345 33.2 11.9 S12 12.2 11.6 57.2 | Antares 100 52.2 S28 04.6
17 | 75 55.9 S23 20.0 | 0 04.1 12.0 S12 00.5 11.7 57.2 | Arcturus 137 18.9 N15 13.9
| | | Atria 87 28.6 S70 20.7
18 | 90 55.6 S23 20.1 | 14 35.2 12.1 S11 48.8 11.7 57.1 | Avior 230 23.1 S61 58.4
19 | 105 55.3 S23 20.1 | 29 06.4 12.2 S11 37.1 11.8 57.1 | Bellatrix 268 24.3 N 6 59.7
20 | 120 55.0 S23 20.1 | 43 37.7 12.3 S11 25.3 11.8 57.1 |
21 | 135 54.7 S23 20.1 | 58 09.0 12.3 S11 13.4 11.8 57.0 | Betelgeuse 260 48.1 N 7 30.3
22 | 150 54.4 S23 20.2 | 72 40.4 12.4 S11 01.5 11.9 57.0 | Canopus 259 41.3 S53 07.9
23 | 165 54.1 S23 20.2 | 87 11.9 12.5 S10 49.6 11.9 56.9 | Capella 266 38.5 N46 42.8
------+-------------------+----------------------------------| Castor 234 07.4 N30 10.3
21 0 | 180 53.8 S23 20.2 | 101 43.5 12.6 S10 37.7 11.9 56.9 | Deneb 43 04.2 N48 01.7
1 | 195 53.5 S23 20.2 | 116 15.2 12.7 S10 25.7 12.0 56.9 |
2 | 210 53.2 S23 20.2 | 130 47.0 12.8 S10 13.7 12.0 56.8 | Denebola 172 56.9 N10 18.5
3 | 225 52.9 S23 20.2 | 145 18.8 12.8 S10 01.7 12.0 56.8 | Diphda 339 28.0 S13 48.8
4 | 240 52.6 S23 20.3 | 159 50.7 12.9 S 9 49.6 12.1 56.8 | Dubhe 182 20.5 N57 37.0
M 5 | 255 52.3 S23 20.3 | 174 22.7 13.0 S 9 37.5 12.1 56.7 | Elnath 266 17.1 N29 11.9
O | | | Eltanin 86 21.0 N51 25.1
N 6 | 270 52.0 S23 20.3 | 188 54.8 13.1 S 9 25.4 12.1 56.7 |
D 7 | 285 51.7 S23 20.3 | 203 27.0 13.1 S 9 13.2 12.2 56.7 | Enif 24 31.2 N13 23.5
A 8 | 300 51.4 S23 20.3 | 217 59.2 13.2 S 9 01.0 12.2 56.6 | Fomalhaut 5 00.7 S25 34.5
Y 9 | 315 51.1 S23 20.3 | 232 31.5 13.3 S 8 48.8 12.2 56.6 | Gacrux 161 28.8 S61 22.2
10 | 330 50.8 S23 20.3 | 247 03.8 13.4 S 8 36.6 12.2 56.5 | Gienah 166 09.1 S21 46.1
11 | 345 50.5 S23 20.3 | 261 36.3 13.4 S 8 24.3 12.3 56.5 | Hadar 135 24.0 S64 01.0
| | |
12 | 0 50.2 S23 20.4 | 276 08.8 13.5 S 8 12.0 12.3 56.5 | Hamal 317 21.1 N27 02.6
13 | 15 49.9 S23 20.4 | 290 41.4 13.6 S 7 59.7 12.3 56.4 | Kaus Austr. 71 14.5 S33 58.4
14 | 30 49.6 S23 20.4 | 305 14.0 13.6 S 7 47.4 12.3 56.4 | Kochab 137 40.1 N71 02.0
15 | 45 49.3 S23 20.4 | 319 46.7 13.7 S 7 35.1 12.3 56.4 | Markab 4 13.9 N19 19.0
16 | 60 49.0 S23 20.4 | 334 19.5 13.8 S 7 22.7 12.4 56.3 | Menkar 304 22.2 N 7 02.9
17 | 75 48.7 S23 20.4 | 348 52.4 13.8 S 7 10.3 12.4 56.3 |
| | | Menkent 136 59.6 S40 05.6
18 | 90 48.4 S23 20.4 | 3 25.3 13.9 S 6 57.9 12.4 56.3 | Miaplacidus 219 34.1 S72 51.5
19 | 105 48.1 S23 20.4 | 17 58.2 14.0 S 6 45.5 12.4 56.2 | Mirfak 295 09.4 N52 31.8
20 | 120 47.8 S23 20.4 | 32 31.3 14.0 S 6 33.1 12.4 56.2 | Nunki 64 18.4 S25 18.2
21 | 135 47.5 S23 20.4 | 47 04.3 14.1 S 6 20.7 12.4 56.2 | Peacock 38 31.8 S54 14.8
22 | 150 47.2 S23 20.4 | 61 37.5 14.1 S 6 08.2 12.4 56.1 |
23 | 165 46.9 S23 20.4 | 76 10.7 14.2 S 5 55.8 12.5 56.1 | Polaris 129 18.8 N92 41.0
------+-------------------+----------------------------------| Pollux 231 56.8 N26 08.4
22 0 | 180 46.6 S23 20.4 | 90 44.0 14.3 S 5 43.3 12.5 56.1 | Procyon 235 07.5 N 3 13.9
1 | 195 46.3 S23 20.4 | 105 17.3 14.3 S 5 30.8 12.5 56.0 | Rasalhague 87 20.7 N12 02.6
2 | 210 46.0 S23 20.4 | 119 50.6 14.4 S 5 18.3 12.5 56.0 | Regulus 197 41.6 N 8 13.3
3 | 225 45.7 S23 20.4 | 134 24.1 14.4 S 5 05.8 12.5 56.0 |
4 | 240 45.4 S23 20.4 | 148 57.5 14.5 S 4 53.3 12.5 55.9 | Rigel 272 07.0 S 7 21.6
T 5 | 255 45.1 S23 20.4 | 163 31.1 14.5 S 4 40.8 12.5 55.9 | Rigil Kent 126 59.1 S63 56.6
U | | | Sabik 91 23.7 S16 37.4
E 6 | 270 44.8 S23 20.4 | 178 04.6 14.6 S 4 28.3 12.5 55.9 | Schedar 338 53.4 N60 42.8
S 7 | 285 44.5 S23 20.4 | 192 38.3 14.6 S 4 15.8 12.5 55.8 | Shaula 83 34.6 S37 36.3
D 8 | 300 44.2 S23 20.4 | 207 11.9 14.7 S 4 03.3 12.5 55.8 |
A 9 | 315 43.9 S23 20.4 | 221 45.7 14.7 S 3 50.7 12.5 55.8 | Sirius 250 14.1 S17 47.9
Y 10 | 330 43.6 S23 20.3 | 236 19.4 14.8 S 3 38.2 12.5 55.8 | Spica 148 34.1 S15 07.3
11 | 345 43.3 S23 20.3 | 250 53.2 14.8 S 3 25.7 12.5 55.7 | Suhail 215 53.9 S46 31.6
| | | Vega 74 14.5 N39 31.3
12 | 0 43.0 S23 20.3 | 265 27.1 14.9 S 3 13.1 12.5 55.7 | Zuben-ubi 126 57.6 S19 10.6
13 | 15 42.7 S23 20.3 | 280 01.0 14.9 S 3 00.6 12.5 55.7 |
14 | 30 42.4 S23 20.3 | 294 34.9 14.9 S 2 48.1 12.5 55.6 |
15 | 45 42.1 S23 20.3 | 309 08.9 15.0 S 2 35.5 12.5 55.6 |
16 | 60 41.8 S23 20.3 | 323 42.9 15.0 S 2 23.0 12.5 55.6 |
17 | 75 41.5 S23 20.3 | 338 16.9 15.0 S 2 10.5 12.5 55.6 |
| | |
18 | 90 41.2 S23 20.2 | 352 51.0 15.1 S 1 58.0 12.5 55.5 |
19 | 105 40.9 S23 20.2 | 7 25.1 15.1 S 1 45.4 12.5 55.5 |
20 | 120 40.5 S23 20.2 | 21 59.3 15.2 S 1 32.9 12.5 55.5 |
21 | 135 40.2 S23 20.2 | 36 33.5 15.2 S 1 20.4 12.5 55.4 |
22 | 150 39.9 S23 20.2 | 51 07.7 15.2 S 1 07.9 12.5 55.4 |
23 | 165 39.6 S23 20.2 | 65 42.0 15.3 S 0 55.4 12.5 55.4 |
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|S.D. 16.2 d 0.0 | S.D. 15.6 15.4 15.2 |
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