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2961 DEC. 19, 20, 21 (SAT, SUN, MON)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 88 11.7 | 136 37.0 S20 01.3 | 247 33.0 S 6 56.8 | 2 12.2 N22 37.9 | 150 04.4 S20 41.0
1 | 103 14.2 | 151 38.0 S20 00.6 | 262 34.2 S 6 57.3 | 17 15.0 N22 37.9 | 165 06.6 S20 41.0
2 | 118 16.6 | 166 39.1 S19 59.9 | 277 35.3 S 6 57.8 | 32 17.9 N22 37.9 | 180 08.8 S20 41.0
3 | 133 19.1 | 181 40.1 S19 59.3 | 292 36.5 S 6 58.3 | 47 20.7 N22 37.9 | 195 11.0 S20 40.9
4 | 148 21.6 | 196 41.2 S19 58.6 | 307 37.6 S 6 58.8 | 62 23.5 N22 37.9 | 210 13.1 S20 40.9
S 5 | 163 24.0 | 211 42.2 S19 57.9 | 322 38.8 S 6 59.3 | 77 26.4 N22 37.9 | 225 15.3 S20 40.8
A
T 6 | 178 26.5 | 226 43.3 S19 57.3 | 337 40.0 S 6 59.8 | 92 29.2 N22 37.9 | 240 17.5 S20 40.8
U 7 | 193 29.0 | 241 44.4 S19 56.6 | 352 41.1 S 7 00.3 | 107 32.0 N22 37.9 | 255 19.7 S20 40.7
R 8 | 208 31.4 | 256 45.4 S19 55.9 | 7 42.3 S 7 00.9 | 122 34.9 N22 37.9 | 270 21.9 S20 40.7
D 9 | 223 33.9 | 271 46.5 S19 55.3 | 22 43.4 S 7 01.4 | 137 37.7 N22 37.9 | 285 24.0 S20 40.6
A 10 | 238 36.4 | 286 47.6 S19 54.6 | 37 44.6 S 7 01.9 | 152 40.5 N22 37.9 | 300 26.2 S20 40.6
Y 11 | 253 38.8 | 301 48.7 S19 53.9 | 52 45.7 S 7 02.4 | 167 43.4 N22 37.9 | 315 28.4 S20 40.5
12 | 268 41.3 | 316 49.7 S19 53.3 | 67 46.9 S 7 02.9 | 182 46.2 N22 37.9 | 330 30.6 S20 40.5
13 | 283 43.8 | 331 50.8 S19 52.6 | 82 48.0 S 7 03.4 | 197 49.0 N22 37.9 | 345 32.7 S20 40.4
14 | 298 46.2 | 346 51.9 S19 51.9 | 97 49.2 S 7 03.9 | 212 51.9 N22 37.9 | 0 34.9 S20 40.4
15 | 313 48.7 | 1 53.0 S19 51.3 | 112 50.3 S 7 04.4 | 227 54.7 N22 37.9 | 15 37.1 S20 40.3
16 | 328 51.1 | 16 54.1 S19 50.6 | 127 51.5 S 7 04.9 | 242 57.5 N22 37.9 | 30 39.3 S20 40.3
17 | 343 53.6 | 31 55.2 S19 49.9 | 142 52.6 S 7 05.4 | 258 00.4 N22 37.9 | 45 41.4 S20 40.2
18 | 358 56.1 | 46 56.3 S19 49.3 | 157 53.8 S 7 06.0 | 273 03.2 N22 37.9 | 60 43.6 S20 40.2
19 | 13 58.5 | 61 57.4 S19 48.6 | 172 54.9 S 7 06.5 | 288 06.0 N22 37.8 | 75 45.8 S20 40.1
20 | 29 01.0 | 76 58.5 S19 47.9 | 187 56.1 S 7 07.0 | 303 08.9 N22 37.8 | 90 48.0 S20 40.1
21 | 44 03.5 | 91 59.6 S19 47.3 | 202 57.2 S 7 07.5 | 318 11.7 N22 37.8 | 105 50.2 S20 40.0
22 | 59 05.9 | 107 00.7 S19 46.6 | 217 58.4 S 7 08.0 | 333 14.5 N22 37.8 | 120 52.3 S20 40.0
23 | 74 08.4 | 122 01.8 S19 45.9 | 232 59.5 S 7 08.5 | 348 17.4 N22 37.8 | 135 54.5 S20 39.9
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 89 10.9 | 137 03.0 S19 45.3 | 248 00.7 S 7 09.0 | 3 20.2 N22 37.8 | 150 56.7 S20 39.9
1 | 104 13.3 | 152 04.1 S19 44.6 | 263 01.9 S 7 09.5 | 18 23.0 N22 37.8 | 165 58.9 S20 39.9
2 | 119 15.8 | 167 05.2 S19 43.9 | 278 03.0 S 7 10.0 | 33 25.9 N22 37.8 | 181 01.0 S20 39.8
3 | 134 18.3 | 182 06.3 S19 43.3 | 293 04.2 S 7 10.5 | 48 28.7 N22 37.8 | 196 03.2 S20 39.8
4 | 149 20.7 | 197 07.4 S19 42.6 | 308 05.3 S 7 11.0 | 63 31.5 N22 37.8 | 211 05.4 S20 39.7
S 5 | 164 23.2 | 212 08.6 S19 41.9 | 323 06.5 S 7 11.5 | 78 34.4 N22 37.8 | 226 07.6 S20 39.7
U
N 6 | 179 25.6 | 227 09.7 S19 41.3 | 338 07.6 S 7 12.1 | 93 37.2 N22 37.8 | 241 09.7 S20 39.6
D 7 | 194 28.1 | 242 10.8 S19 40.6 | 353 08.8 S 7 12.6 | 108 40.0 N22 37.8 | 256 11.9 S20 39.6
A 8 | 209 30.6 | 257 12.0 S19 39.9 | 8 09.9 S 7 13.1 | 123 42.8 N22 37.8 | 271 14.1 S20 39.5
Y 9 | 224 33.0 | 272 13.1 S19 39.2 | 23 11.1 S 7 13.6 | 138 45.7 N22 37.8 | 286 16.3 S20 39.5
10 | 239 35.5 | 287 14.3 S19 38.6 | 38 12.2 S 7 14.1 | 153 48.5 N22 37.8 | 301 18.4 S20 39.4
11 | 254 38.0 | 302 15.4 S19 37.9 | 53 13.4 S 7 14.6 | 168 51.3 N22 37.8 | 316 20.6 S20 39.4
12 | 269 40.4 | 317 16.6 S19 37.2 | 68 14.5 S 7 15.1 | 183 54.2 N22 37.8 | 331 22.8 S20 39.3
13 | 284 42.9 | 332 17.7 S19 36.6 | 83 15.7 S 7 15.6 | 198 57.0 N22 37.8 | 346 25.0 S20 39.3
14 | 299 45.4 | 347 18.9 S19 35.9 | 98 16.9 S 7 16.1 | 213 59.8 N22 37.8 | 1 27.1 S20 39.2
15 | 314 47.8 | 2 20.0 S19 35.2 | 113 18.0 S 7 16.6 | 229 02.7 N22 37.8 | 16 29.3 S20 39.2
16 | 329 50.3 | 17 21.2 S19 34.6 | 128 19.2 S 7 17.1 | 244 05.5 N22 37.8 | 31 31.5 S20 39.1
17 | 344 52.7 | 32 22.4 S19 33.9 | 143 20.3 S 7 17.6 | 259 08.3 N22 37.8 | 46 33.7 S20 39.1
18 | 359 55.2 | 47 23.5 S19 33.2 | 158 21.5 S 7 18.1 | 274 11.2 N22 37.8 | 61 35.8 S20 39.0
19 | 14 57.7 | 62 24.7 S19 32.6 | 173 22.6 S 7 18.6 | 289 14.0 N22 37.8 | 76 38.0 S20 39.0
20 | 30 00.1 | 77 25.9 S19 31.9 | 188 23.8 S 7 19.1 | 304 16.8 N22 37.7 | 91 40.2 S20 38.9
21 | 45 02.6 | 92 27.1 S19 31.2 | 203 24.9 S 7 19.7 | 319 19.7 N22 37.7 | 106 42.4 S20 38.9
22 | 60 05.1 | 107 28.2 S19 30.5 | 218 26.1 S 7 20.2 | 334 22.5 N22 37.7 | 121 44.5 S20 38.8
23 | 75 07.5 | 122 29.4 S19 29.9 | 233 27.3 S 7 20.7 | 349 25.3 N22 37.7 | 136 46.7 S20 38.8
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 10.0 | 137 30.6 S19 29.2 | 248 28.4 S 7 21.2 | 4 28.2 N22 37.7 | 151 48.9 S20 38.7
1 | 105 12.5 | 152 31.8 S19 28.5 | 263 29.6 S 7 21.7 | 19 31.0 N22 37.7 | 166 51.1 S20 38.7
2 | 120 14.9 | 167 33.0 S19 27.9 | 278 30.7 S 7 22.2 | 34 33.8 N22 37.7 | 181 53.2 S20 38.6
3 | 135 17.4 | 182 34.2 S19 27.2 | 293 31.9 S 7 22.7 | 49 36.7 N22 37.7 | 196 55.4 S20 38.6
4 | 150 19.9 | 197 35.4 S19 26.5 | 308 33.0 S 7 23.2 | 64 39.5 N22 37.7 | 211 57.6 S20 38.5
M 5 | 165 22.3 | 212 36.6 S19 25.9 | 323 34.2 S 7 23.7 | 79 42.3 N22 37.7 | 226 59.8 S20 38.5
O
N 6 | 180 24.8 | 227 37.8 S19 25.2 | 338 35.3 S 7 24.2 | 94 45.2 N22 37.7 | 242 01.9 S20 38.4
D 7 | 195 27.2 | 242 39.0 S19 24.5 | 353 36.5 S 7 24.7 | 109 48.0 N22 37.7 | 257 04.1 S20 38.4
A 8 | 210 29.7 | 257 40.2 S19 23.8 | 8 37.7 S 7 25.2 | 124 50.8 N22 37.7 | 272 06.3 S20 38.4
Y 9 | 225 32.2 | 272 41.4 S19 23.2 | 23 38.8 S 7 25.7 | 139 53.7 N22 37.7 | 287 08.5 S20 38.3
10 | 240 34.6 | 287 42.6 S19 22.5 | 38 40.0 S 7 26.2 | 154 56.5 N22 37.7 | 302 10.6 S20 38.3
11 | 255 37.1 | 302 43.9 S19 21.8 | 53 41.1 S 7 26.7 | 169 59.3 N22 37.7 | 317 12.8 S20 38.2
12 | 270 39.6 | 317 45.1 S19 21.2 | 68 42.3 S 7 27.2 | 185 02.2 N22 37.7 | 332 15.0 S20 38.2
13 | 285 42.0 | 332 46.3 S19 20.5 | 83 43.4 S 7 27.7 | 200 05.0 N22 37.7 | 347 17.2 S20 38.1
14 | 300 44.5 | 347 47.5 S19 19.8 | 98 44.6 S 7 28.2 | 215 07.8 N22 37.7 | 2 19.3 S20 38.1
15 | 315 47.0 | 2 48.8 S19 19.2 | 113 45.7 S 7 28.7 | 230 10.6 N22 37.7 | 17 21.5 S20 38.0
16 | 330 49.4 | 17 50.0 S19 18.5 | 128 46.9 S 7 29.2 | 245 13.5 N22 37.7 | 32 23.7 S20 38.0
17 | 345 51.9 | 32 51.2 S19 17.8 | 143 48.1 S 7 29.7 | 260 16.3 N22 37.7 | 47 25.9 S20 37.9
18 | 0 54.3 | 47 52.5 S19 17.2 | 158 49.2 S 7 30.2 | 275 19.1 N22 37.7 | 62 28.0 S20 37.9
19 | 15 56.8 | 62 53.7 S19 16.5 | 173 50.4 S 7 30.7 | 290 22.0 N22 37.7 | 77 30.2 S20 37.8
20 | 30 59.3 | 77 55.0 S19 15.8 | 188 51.5 S 7 31.3 | 305 24.8 N22 37.6 | 92 32.4 S20 37.8
21 | 46 01.7 | 92 56.2 S19 15.1 | 203 52.7 S 7 31.8 | 320 27.6 N22 37.6 | 107 34.6 S20 37.7
22 | 61 04.2 | 107 57.5 S19 14.5 | 218 53.8 S 7 32.3 | 335 30.5 N22 37.6 | 122 36.7 S20 37.7
23 | 76 06.7 | 122 58.7 S19 13.8 | 233 55.0 S 7 32.8 | 350 33.3 N22 37.6 | 137 38.9 S20 37.6
------+----------+-------------------+-------------------+-------------------+--------------------
| v 1.2 d 0.7 | v 1.2 d 0.5 | v 2.8 d 0.0 | v 2.2 d 0.0
2961 DEC. 19, 20, 21 (SAT, SUN, MON)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 11.3 S23 17.1 | 294 49.3 15.5 N 5 20.8 10.4 54.3 | Acamar 306 13.2 S36 29.9
1 | 196 11.0 S23 17.2 | 309 23.8 15.6 N 5 10.3 10.5 54.3 | Achernar 326 32.6 S52 23.4
2 | 211 10.7 S23 17.2 | 323 58.4 15.6 N 4 59.9 10.5 54.3 | Acrux 159 46.0 S68 23.8
3 | 226 10.4 S23 17.3 | 338 33.0 15.6 N 4 49.4 10.5 54.3 | Adhara 245 47.5 S30 19.0
4 | 241 10.1 S23 17.3 | 353 07.7 15.6 N 4 38.9 10.5 54.3 | Albireo 57 32.2 N30 00.7
S 5 | 256 09.8 S23 17.4 | 7 42.3 15.7 N 4 28.4 10.5 54.3 |
A | | | Aldebaran 277 07.3 N18 22.8
T 6 | 271 09.5 S23 17.4 | 22 17.0 15.7 N 4 17.8 10.5 54.3 | Alioth 155 52.8 N50 45.9
U 7 | 286 09.2 S23 17.4 | 36 51.7 15.7 N 4 07.3 10.5 54.3 | Alkaid 143 34.3 N44 32.7
R 8 | 301 08.9 S23 17.5 | 51 26.4 15.7 N 3 56.7 10.6 54.2 | Al Na-ir 12 48.3 S42 17.8
D 9 | 316 08.7 S23 17.5 | 66 01.2 15.7 N 3 46.2 10.6 54.2 | Alnilam 263 39.1 S 0 38.6
A 10 | 331 08.4 S23 17.6 | 80 35.9 15.8 N 3 35.6 10.6 54.2 |
Y 11 | 346 08.1 S23 17.6 | 95 10.7 15.8 N 3 25.0 10.6 54.2 | Alphard 206 12.1 S12 50.7
| | | Alphecca 116 03.6 N23 31.5
12 | 1 07.8 S23 17.7 | 109 45.5 15.8 N 3 14.4 10.6 54.2 | Alpheratz 345 21.4 N34 22.9
13 | 16 07.5 S23 17.7 | 124 20.3 15.8 N 3 03.7 10.6 54.2 | Altair 50 30.0 N11 26.8
14 | 31 07.2 S23 17.8 | 138 55.1 15.8 N 2 53.1 10.6 54.2 | Ankaa 341 30.1 S37 06.9
15 | 46 06.9 S23 17.8 | 153 29.9 15.8 N 2 42.5 10.6 54.2 |
16 | 61 06.6 S23 17.8 | 168 04.8 15.8 N 2 31.8 10.6 54.2 | Antares 97 48.7 S28 29.9
17 | 76 06.3 S23 17.9 | 182 39.6 15.9 N 2 21.2 10.7 54.2 | Arcturus 135 01.9 N14 13.0
| | | Atria 82 12.4 S70 41.1
18 | 91 06.0 S23 17.9 | 197 14.5 15.9 N 2 10.5 10.7 54.2 | Avior 229 20.1 S62 36.6
19 | 106 05.7 S23 18.0 | 211 49.4 15.9 N 1 59.9 10.7 54.2 | Bellatrix 265 43.6 N 7 09.6
20 | 121 05.4 S23 18.0 | 226 24.2 15.9 N 1 49.2 10.7 54.2 |
21 | 136 05.1 S23 18.0 | 240 59.1 15.9 N 1 38.5 10.7 54.2 | Betelgeuse 258 06.0 N 7 31.7
22 | 151 04.8 S23 18.1 | 255 34.0 15.9 N 1 27.8 10.7 54.2 | Canopus 258 33.1 S53 14.7
23 | 166 04.5 S23 18.1 | 270 08.9 15.9 N 1 17.1 10.7 54.2 | Capella 262 58.0 N46 53.8
------+-------------------+----------------------------------| Castor 230 57.2 N29 43.7
20 0 | 181 04.2 S23 18.1 | 284 43.8 15.9 N 1 06.4 10.7 54.2 | Deneb 41 21.1 N48 44.1
1 | 196 03.9 S23 18.2 | 299 18.8 15.9 N 0 55.7 10.7 54.2 |
2 | 211 03.7 S23 18.2 | 313 53.7 15.9 N 0 45.0 10.7 54.2 | Denebola 170 24.2 N 9 12.7
3 | 226 03.4 S23 18.2 | 328 28.6 15.9 N 0 34.3 10.7 54.2 | Diphda 336 57.7 S12 44.3
4 | 241 03.1 S23 18.3 | 343 03.5 15.9 N 0 23.6 10.7 54.2 | Dubhe 179 18.0 N56 33.3
S 5 | 256 02.8 S23 18.3 | 357 38.5 15.9 N 0 12.9 10.7 54.2 | Elnath 263 08.2 N29 21.0
U | | | Eltanin 85 09.9 N51 24.1
N 6 | 271 02.5 S23 18.3 | 12 13.4 15.9 N 0 02.2 10.7 54.2 |
D 7 | 286 02.2 S23 18.3 | 26 48.3 15.9 S 0 08.5 10.7 54.2 | Enif 22 03.9 N14 17.9
A 8 | 301 01.9 S23 18.4 | 41 23.2 15.9 S 0 19.2 10.7 54.2 | Fomalhaut 2 15.9 S24 31.9
Y 9 | 316 01.6 S23 18.4 | 55 58.2 15.9 S 0 29.9 10.7 54.2 | Gacrux 158 41.4 S62 28.0
10 | 331 01.3 S23 18.4 | 70 33.1 15.9 S 0 40.6 10.7 54.2 | Gienah 163 34.8 S22 51.4
11 | 346 01.0 S23 18.4 | 85 08.0 15.9 S 0 51.3 10.7 54.2 | Hadar 131 51.6 S64 57.3
| | |
12 | 1 00.7 S23 18.5 | 99 42.9 15.9 S 1 02.0 10.7 54.2 | Hamal 314 31.9 N27 57.8
13 | 16 00.4 S23 18.5 | 114 17.8 15.9 S 1 12.7 10.7 54.2 | Kaus Austr. 67 56.6 S33 52.0
14 | 31 00.1 S23 18.5 | 128 52.7 15.9 S 1 23.4 10.7 54.2 | Kochab 137 43.9 N70 13.9
15 | 45 59.8 S23 18.5 | 143 27.6 15.9 S 1 34.1 10.7 54.2 | Markab 1 44.4 N20 22.5
16 | 60 59.5 S23 18.6 | 158 02.5 15.9 S 1 44.8 10.7 54.2 | Menkar 301 45.4 N 7 48.5
17 | 75 59.2 S23 18.6 | 172 37.4 15.9 S 1 55.5 10.7 54.2 |
| | | Menkent 134 02.9 S41 03.1
18 | 90 58.9 S23 18.6 | 187 12.2 15.9 S 2 06.1 10.7 54.2 | Miaplacidus 218 59.6 S73 40.1
19 | 105 58.6 S23 18.6 | 201 47.1 15.9 S 2 16.8 10.7 54.3 | Mirfak 291 35.4 N53 13.0
20 | 120 58.3 S23 18.6 | 216 21.9 15.8 S 2 27.5 10.7 54.3 | Nunki 61 13.4 S25 02.7
21 | 135 58.0 S23 18.6 | 230 56.7 15.8 S 2 38.1 10.7 54.3 | Peacock 34 37.7 S53 36.2
22 | 150 57.7 S23 18.7 | 245 31.6 15.8 S 2 48.8 10.6 54.3 |
23 | 165 57.4 S23 18.7 | 260 06.4 15.8 S 2 59.4 10.6 54.3 | Polaris 79 30.4 N93 34.0
------+-------------------+----------------------------------| Pollux 228 54.4 N25 39.2
21 0 | 180 57.2 S23 18.7 | 274 41.1 15.8 S 3 10.0 10.6 54.3 | Procyon 232 30.9 N 2 43.0
1 | 195 56.9 S23 18.7 | 289 15.9 15.8 S 3 20.6 10.6 54.3 | Rasalhague 85 01.3 N11 54.7
2 | 210 56.6 S23 18.7 | 303 50.6 15.7 S 3 31.3 10.6 54.3 | Regulus 195 02.4 N 7 15.4
3 | 225 56.3 S23 18.7 | 318 25.4 15.7 S 3 41.8 10.6 54.3 |
4 | 240 56.0 S23 18.7 | 333 00.1 15.7 S 3 52.4 10.6 54.3 | Rigel 269 42.8 S 7 08.7
M 5 | 255 55.7 S23 18.7 | 347 34.8 15.7 S 4 03.0 10.6 54.3 | Rigil Kent 123 34.8 S64 44.6
O | | | Sabik 88 32.1 S16 51.2
N 6 | 270 55.4 S23 18.8 | 2 09.5 15.7 S 4 13.6 10.6 54.3 | Schedar 336 02.2 N61 47.2
D 7 | 285 55.1 S23 18.8 | 16 44.1 15.6 S 4 24.1 10.5 54.3 | Shaula 80 11.8 S37 44.0
A 8 | 300 54.8 S23 18.8 | 31 18.7 15.6 S 4 34.7 10.5 54.3 |
Y 9 | 315 54.5 S23 18.8 | 45 53.3 15.6 S 4 45.2 10.5 54.4 | Sirius 248 01.8 S18 04.7
10 | 330 54.2 S23 18.8 | 60 27.9 15.6 S 4 55.7 10.5 54.4 | Spica 145 56.0 S16 08.5
11 | 345 53.9 S23 18.8 | 75 02.5 15.6 S 5 06.2 10.5 54.4 | Suhail 214 02.7 S47 19.5
| | | Vega 72 32.1 N39 42.7
12 | 0 53.6 S23 18.8 | 89 37.0 15.5 S 5 16.7 10.5 54.4 | Zuben-ubi 124 16.5 S19 59.0
13 | 15 53.3 S23 18.8 | 104 11.5 15.5 S 5 27.1 10.5 54.4 |
14 | 30 53.0 S23 18.8 | 118 46.0 15.5 S 5 37.6 10.4 54.4 |
15 | 45 52.7 S23 18.8 | 133 20.4 15.4 S 5 48.0 10.4 54.4 |
16 | 60 52.4 S23 18.8 | 147 54.8 15.4 S 5 58.4 10.4 54.4 |
17 | 75 52.1 S23 18.8 | 162 29.2 15.4 S 6 08.8 10.4 54.4 |
| | |
18 | 90 51.8 S23 18.8 | 177 03.5 15.4 S 6 19.1 10.4 54.5 |
19 | 105 51.5 S23 18.8 | 191 37.9 15.3 S 6 29.5 10.3 54.5 |
20 | 120 51.2 S23 18.8 | 206 12.1 15.3 S 6 39.8 10.3 54.5 |
21 | 135 50.9 S23 18.8 | 220 46.4 15.3 S 6 50.1 10.3 54.5 |
22 | 150 50.6 S23 18.8 | 235 20.6 15.2 S 7 00.4 10.3 54.5 |
23 | 165 50.3 S23 18.8 | 249 54.8 15.2 S 7 10.7 10.3 54.5 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 14.8 14.8 14.8 |