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2776 DEC. 19, 20, 21 (SUN, MON, TUE)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 59.4 | 222 14.5 S14 53.7 | 86 11.2 N 0 13.9 | 220 18.2 S16 39.1 | 242 31.9 S 8 01.5
1 | 103 01.8 | 237 14.0 S14 54.5 | 101 12.3 N 0 14.6 | 235 20.2 S16 39.2 | 257 34.2 S 8 01.6
2 | 118 04.3 | 252 13.5 S14 55.4 | 116 13.4 N 0 15.3 | 250 22.2 S16 39.3 | 272 36.4 S 8 01.6
3 | 133 06.7 | 267 13.0 S14 56.2 | 131 14.5 N 0 15.9 | 265 24.2 S16 39.5 | 287 38.7 S 8 01.7
4 | 148 09.2 | 282 12.4 S14 57.0 | 146 15.6 N 0 16.6 | 280 26.1 S16 39.6 | 302 41.0 S 8 01.8
S 5 | 163 11.7 | 297 11.9 S14 57.9 | 161 16.7 N 0 17.3 | 295 28.1 S16 39.7 | 317 43.3 S 8 01.8
U
N 6 | 178 14.1 | 312 11.4 S14 58.7 | 176 17.8 N 0 18.0 | 310 30.1 S16 39.9 | 332 45.5 S 8 01.9
D 7 | 193 16.6 | 327 10.9 S14 59.6 | 191 18.9 N 0 18.6 | 325 32.1 S16 40.0 | 347 47.8 S 8 02.0
A 8 | 208 19.1 | 342 10.4 S15 00.4 | 206 20.0 N 0 19.3 | 340 34.0 S16 40.1 | 2 50.1 S 8 02.0
Y 9 | 223 21.5 | 357 09.9 S15 01.2 | 221 21.1 N 0 20.0 | 355 36.0 S16 40.2 | 17 52.3 S 8 02.1
10 | 238 24.0 | 12 09.3 S15 02.1 | 236 22.2 N 0 20.7 | 10 38.0 S16 40.4 | 32 54.6 S 8 02.2
11 | 253 26.5 | 27 08.8 S15 02.9 | 251 23.3 N 0 21.3 | 25 40.0 S16 40.5 | 47 56.9 S 8 02.2
12 | 268 28.9 | 42 08.3 S15 03.7 | 266 24.4 N 0 22.0 | 40 42.0 S16 40.6 | 62 59.2 S 8 02.3
13 | 283 31.4 | 57 07.8 S15 04.6 | 281 25.5 N 0 22.7 | 55 43.9 S16 40.7 | 78 01.4 S 8 02.3
14 | 298 33.8 | 72 07.3 S15 05.4 | 296 26.6 N 0 23.4 | 70 45.9 S16 40.9 | 93 03.7 S 8 02.4
15 | 313 36.3 | 87 06.8 S15 06.2 | 311 27.7 N 0 24.0 | 85 47.9 S16 41.0 | 108 06.0 S 8 02.5
16 | 328 38.8 | 102 06.2 S15 07.1 | 326 28.8 N 0 24.7 | 100 49.9 S16 41.1 | 123 08.3 S 8 02.5
17 | 343 41.2 | 117 05.7 S15 07.9 | 341 29.9 N 0 25.4 | 115 51.8 S16 41.2 | 138 10.5 S 8 02.6
18 | 358 43.7 | 132 05.2 S15 08.7 | 356 31.0 N 0 26.0 | 130 53.8 S16 41.4 | 153 12.8 S 8 02.7
19 | 13 46.2 | 147 04.7 S15 09.6 | 11 32.1 N 0 26.7 | 145 55.8 S16 41.5 | 168 15.1 S 8 02.7
20 | 28 48.6 | 162 04.2 S15 10.4 | 26 33.2 N 0 27.4 | 160 57.8 S16 41.6 | 183 17.3 S 8 02.8
21 | 43 51.1 | 177 03.6 S15 11.2 | 41 34.3 N 0 28.1 | 175 59.8 S16 41.7 | 198 19.6 S 8 02.8
22 | 58 53.6 | 192 03.1 S15 12.1 | 56 35.4 N 0 28.7 | 191 01.7 S16 41.9 | 213 21.9 S 8 02.9
23 | 73 56.0 | 207 02.6 S15 12.9 | 71 36.4 N 0 29.4 | 206 03.7 S16 42.0 | 228 24.2 S 8 03.0
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 58.5 | 222 02.1 S15 13.7 | 86 37.5 N 0 30.1 | 221 05.7 S16 42.1 | 243 26.4 S 8 03.0
1 | 104 01.0 | 237 01.5 S15 14.5 | 101 38.6 N 0 30.8 | 236 07.7 S16 42.2 | 258 28.7 S 8 03.1
2 | 119 03.4 | 252 01.0 S15 15.4 | 116 39.7 N 0 31.4 | 251 09.6 S16 42.4 | 273 31.0 S 8 03.2
3 | 134 05.9 | 267 00.5 S15 16.2 | 131 40.8 N 0 32.1 | 266 11.6 S16 42.5 | 288 33.3 S 8 03.2
4 | 149 08.3 | 281 60.0 S15 17.0 | 146 41.9 N 0 32.8 | 281 13.6 S16 42.6 | 303 35.5 S 8 03.3
M 5 | 164 10.8 | 296 59.4 S15 17.9 | 161 43.0 N 0 33.5 | 296 15.6 S16 42.7 | 318 37.8 S 8 03.3
O
N 6 | 179 13.3 | 311 58.9 S15 18.7 | 176 44.1 N 0 34.1 | 311 17.6 S16 42.9 | 333 40.1 S 8 03.4
D 7 | 194 15.7 | 326 58.4 S15 19.5 | 191 45.2 N 0 34.8 | 326 19.5 S16 43.0 | 348 42.4 S 8 03.5
A 8 | 209 18.2 | 341 57.9 S15 20.3 | 206 46.3 N 0 35.5 | 341 21.5 S16 43.1 | 3 44.6 S 8 03.5
Y 9 | 224 20.7 | 356 57.3 S15 21.1 | 221 47.4 N 0 36.2 | 356 23.5 S16 43.2 | 18 46.9 S 8 03.6
10 | 239 23.1 | 11 56.8 S15 22.0 | 236 48.5 N 0 36.8 | 11 25.5 S16 43.4 | 33 49.2 S 8 03.6
11 | 254 25.6 | 26 56.3 S15 22.8 | 251 49.6 N 0 37.5 | 26 27.5 S16 43.5 | 48 51.5 S 8 03.7
12 | 269 28.1 | 41 55.7 S15 23.6 | 266 50.7 N 0 38.2 | 41 29.4 S16 43.6 | 63 53.7 S 8 03.8
13 | 284 30.5 | 56 55.2 S15 24.4 | 281 51.8 N 0 38.9 | 56 31.4 S16 43.7 | 78 56.0 S 8 03.8
14 | 299 33.0 | 71 54.7 S15 25.3 | 296 52.9 N 0 39.5 | 71 33.4 S16 43.9 | 93 58.3 S 8 03.9
15 | 314 35.5 | 86 54.1 S15 26.1 | 311 54.0 N 0 40.2 | 86 35.4 S16 44.0 | 109 00.6 S 8 04.0
16 | 329 37.9 | 101 53.6 S15 26.9 | 326 55.1 N 0 40.9 | 101 37.4 S16 44.1 | 124 02.9 S 8 04.0
17 | 344 40.4 | 116 53.1 S15 27.7 | 341 56.2 N 0 41.6 | 116 39.3 S16 44.2 | 139 05.1 S 8 04.1
18 | 359 42.8 | 131 52.5 S15 28.5 | 356 57.2 N 0 42.2 | 131 41.3 S16 44.4 | 154 07.4 S 8 04.1
19 | 14 45.3 | 146 52.0 S15 29.4 | 11 58.3 N 0 42.9 | 146 43.3 S16 44.5 | 169 09.7 S 8 04.2
20 | 29 47.8 | 161 51.5 S15 30.2 | 26 59.4 N 0 43.6 | 161 45.3 S16 44.6 | 184 12.0 S 8 04.3
21 | 44 50.2 | 176 50.9 S15 31.0 | 42 00.5 N 0 44.3 | 176 47.3 S16 44.7 | 199 14.2 S 8 04.3
22 | 59 52.7 | 191 50.4 S15 31.8 | 57 01.6 N 0 44.9 | 191 49.2 S16 44.9 | 214 16.5 S 8 04.4
23 | 74 55.2 | 206 49.9 S15 32.6 | 72 02.7 N 0 45.6 | 206 51.2 S16 45.0 | 229 18.8 S 8 04.4
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 57.6 | 221 49.3 S15 33.4 | 87 03.8 N 0 46.3 | 221 53.2 S16 45.1 | 244 21.1 S 8 04.5
1 | 105 00.1 | 236 48.8 S15 34.2 | 102 04.9 N 0 47.0 | 236 55.2 S16 45.2 | 259 23.3 S 8 04.6
2 | 120 02.6 | 251 48.3 S15 35.1 | 117 06.0 N 0 47.6 | 251 57.2 S16 45.4 | 274 25.6 S 8 04.6
3 | 135 05.0 | 266 47.7 S15 35.9 | 132 07.1 N 0 48.3 | 266 59.2 S16 45.5 | 289 27.9 S 8 04.7
4 | 150 07.5 | 281 47.2 S15 36.7 | 147 08.2 N 0 49.0 | 282 01.1 S16 45.6 | 304 30.2 S 8 04.7
T 5 | 165 10.0 | 296 46.6 S15 37.5 | 162 09.3 N 0 49.7 | 297 03.1 S16 45.7 | 319 32.5 S 8 04.8
U
E 6 | 180 12.4 | 311 46.1 S15 38.3 | 177 10.3 N 0 50.3 | 312 05.1 S16 45.9 | 334 34.7 S 8 04.9
S 7 | 195 14.9 | 326 45.6 S15 39.1 | 192 11.4 N 0 51.0 | 327 07.1 S16 46.0 | 349 37.0 S 8 04.9
D 8 | 210 17.3 | 341 45.0 S15 39.9 | 207 12.5 N 0 51.7 | 342 09.1 S16 46.1 | 4 39.3 S 8 05.0
A 9 | 225 19.8 | 356 44.5 S15 40.7 | 222 13.6 N 0 52.4 | 357 11.0 S16 46.2 | 19 41.6 S 8 05.0
Y 10 | 240 22.3 | 11 43.9 S15 41.6 | 237 14.7 N 0 53.0 | 12 13.0 S16 46.4 | 34 43.8 S 8 05.1
11 | 255 24.7 | 26 43.4 S15 42.4 | 252 15.8 N 0 53.7 | 27 15.0 S16 46.5 | 49 46.1 S 8 05.2
12 | 270 27.2 | 41 42.8 S15 43.2 | 267 16.9 N 0 54.4 | 42 17.0 S16 46.6 | 64 48.4 S 8 05.2
13 | 285 29.7 | 56 42.3 S15 44.0 | 282 18.0 N 0 55.1 | 57 19.0 S16 46.7 | 79 50.7 S 8 05.3
14 | 300 32.1 | 71 41.8 S15 44.8 | 297 19.1 N 0 55.7 | 72 21.0 S16 46.9 | 94 53.0 S 8 05.3
15 | 315 34.6 | 86 41.2 S15 45.6 | 312 20.2 N 0 56.4 | 87 22.9 S16 47.0 | 109 55.2 S 8 05.4
16 | 330 37.1 | 101 40.7 S15 46.4 | 327 21.2 N 0 57.1 | 102 24.9 S16 47.1 | 124 57.5 S 8 05.5
17 | 345 39.5 | 116 40.1 S15 47.2 | 342 22.3 N 0 57.8 | 117 26.9 S16 47.2 | 139 59.8 S 8 05.5
18 | 0 42.0 | 131 39.6 S15 48.0 | 357 23.4 N 0 58.4 | 132 28.9 S16 47.3 | 155 02.1 S 8 05.6
19 | 15 44.5 | 146 39.0 S15 48.8 | 12 24.5 N 0 59.1 | 147 30.9 S16 47.5 | 170 04.4 S 8 05.6
20 | 30 46.9 | 161 38.5 S15 49.6 | 27 25.6 N 0 59.8 | 162 32.9 S16 47.6 | 185 06.6 S 8 05.7
21 | 45 49.4 | 176 37.9 S15 50.4 | 42 26.7 N 1 00.5 | 177 34.8 S16 47.7 | 200 08.9 S 8 05.8
22 | 60 51.8 | 191 37.4 S15 51.2 | 57 27.8 N 1 01.1 | 192 36.8 S16 47.8 | 215 11.2 S 8 05.8
23 | 75 54.3 | 206 36.8 S15 52.0 | 72 28.9 N 1 01.8 | 207 38.8 S16 48.0 | 230 13.5 S 8 05.9
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.5 d 0.8 | v 1.1 d 0.7 | v 2.0 d 0.1 | v 2.3 d 0.1
2776 DEC. 19, 20, 21 (SUN, MON, TUE)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 07.8 S23 18.3 | 338 25.6 8.4 N17 16.8 5.5 57.8 | Acamar 308 00.3 S37 13.7
1 | 196 07.5 S23 18.4 | 352 53.1 8.5 N17 11.2 5.6 57.8 | Achernar 328 17.6 S53 19.3
2 | 211 07.2 S23 18.4 | 7 20.7 8.6 N17 05.5 5.7 57.7 | Acrux 162 23.3 S67 22.8
3 | 226 06.9 S23 18.5 | 21 48.4 8.7 N16 59.7 5.8 57.7 | Adhara 247 38.5 S30 03.6
4 | 241 06.6 S23 18.5 | 36 16.1 8.7 N16 53.8 5.9 57.7 | Albireo 59 25.9 N29 37.2
S 5 | 256 06.3 S23 18.6 | 50 43.9 8.8 N16 47.8 6.0 57.6 |
U | | | Aldebaran 279 48.2 N18 01.2
N 6 | 271 06.0 S23 18.6 | 65 11.8 8.9 N16 41.8 6.1 57.6 | Alioth 157 56.1 N51 45.6
D 7 | 286 05.7 S23 18.7 | 79 39.7 9.0 N16 35.6 6.2 57.6 | Alkaid 145 25.4 N45 27.6
A 8 | 301 05.4 S23 18.7 | 94 07.8 9.0 N16 29.3 6.2 57.6 | Al Na-ir 15 43.6 S43 11.4
Y 9 | 316 05.1 S23 18.8 | 108 35.9 9.1 N16 23.0 6.3 57.5 | Alnilam 266 01.6 S 0 45.1
10 | 331 04.8 S23 18.8 | 123 04.1 9.2 N16 16.6 6.4 57.5 |
11 | 346 04.5 S23 18.9 | 137 32.3 9.3 N16 10.1 6.5 57.5 | Alphard 208 30.1 S12 02.5
| | | Alphecca 118 02.9 N24 08.2
12 | 1 04.2 S23 18.9 | 152 00.7 9.3 N16 03.5 6.6 57.4 | Alpheratz 347 46.8 N33 22.1
13 | 16 03.9 S23 19.0 | 166 29.1 9.4 N15 56.8 6.7 57.4 | Altair 52 47.0 N10 57.2
14 | 31 03.6 S23 19.0 | 180 57.6 9.5 N15 50.1 6.7 57.4 | Ankaa 343 48.5 S38 06.6
15 | 46 03.3 S23 19.0 | 195 26.2 9.6 N15 43.3 6.8 57.3 |
16 | 61 03.0 S23 19.1 | 209 54.9 9.7 N15 36.4 6.9 57.3 | Antares 100 40.6 S28 06.1
17 | 76 02.7 S23 19.1 | 224 23.6 9.7 N15 29.4 7.0 57.3 | Arcturus 137 10.3 N15 10.1
| | | Atria 87 08.5 S70 21.9
18 | 91 02.4 S23 19.2 | 238 52.4 9.8 N15 22.3 7.1 57.2 | Avior 230 19.0 S62 00.9
19 | 106 02.1 S23 19.2 | 253 21.3 9.9 N15 15.2 7.1 57.2 | Bellatrix 268 14.1 N 7 00.3
20 | 121 01.8 S23 19.2 | 267 50.3 10.0 N15 08.0 7.2 57.2 |
21 | 136 01.6 S23 19.3 | 282 19.3 10.1 N15 00.7 7.3 57.1 | Betelgeuse 260 37.8 N 7 30.3
22 | 151 01.3 S23 19.3 | 296 48.5 10.1 N14 53.4 7.4 57.1 | Canopus 259 37.0 S53 08.4
23 | 166 01.0 S23 19.4 | 311 17.7 10.2 N14 45.9 7.4 57.1 | Capella 266 24.4 N46 43.4
------+-------------------+----------------------------------| Castor 233 55.4 N30 08.5
20 0 | 181 00.7 S23 19.4 | 325 47.0 10.3 N14 38.4 7.5 57.0 | Deneb 42 57.6 N48 04.5
1 | 196 00.4 S23 19.4 | 340 16.3 10.4 N14 30.9 7.6 57.0 |
2 | 211 00.1 S23 19.5 | 354 45.8 10.4 N14 23.3 7.6 57.0 | Denebola 172 47.2 N10 14.3
3 | 225 59.8 S23 19.5 | 9 15.3 10.5 N14 15.6 7.7 56.9 | Diphda 339 18.5 S13 44.7
4 | 240 59.5 S23 19.5 | 23 44.9 10.6 N14 07.8 7.8 56.9 | Dubhe 182 09.1 N57 32.9
M 5 | 255 59.2 S23 19.6 | 38 14.6 10.7 N13 60.0 7.8 56.9 | Elnath 266 05.1 N29 12.4
O | | | Eltanin 86 16.5 N51 25.1
N 6 | 270 58.9 S23 19.6 | 52 44.3 10.8 N13 52.1 7.9 56.8 |
D 7 | 285 58.6 S23 19.6 | 67 14.2 10.8 N13 44.1 8.0 56.8 | Enif 24 21.8 N13 27.1
A 8 | 300 58.3 S23 19.7 | 81 44.1 10.9 N13 36.1 8.0 56.8 | Fomalhaut 4 50.3 S25 30.5
Y 9 | 315 58.0 S23 19.7 | 96 14.1 11.0 N13 28.0 8.1 56.7 | Gacrux 161 18.0 S61 26.3
10 | 330 57.7 S23 19.7 | 110 44.1 11.1 N13 19.9 8.1 56.7 | Gienah 165 59.3 S21 50.3
11 | 345 57.4 S23 19.7 | 125 14.3 11.1 N13 11.7 8.2 56.7 | Hadar 135 10.4 S64 04.5
| | |
12 | 0 57.1 S23 19.8 | 139 44.5 11.2 N13 03.5 8.2 56.6 | Hamal 317 10.3 N27 06.1
13 | 15 56.8 S23 19.8 | 154 14.7 11.3 N12 55.2 8.3 56.6 | Kaus Austr. 71 02.0 S33 57.9
14 | 30 56.5 S23 19.8 | 168 45.1 11.4 N12 46.8 8.4 56.6 | Kochab 137 40.7 N70 59.1
15 | 45 56.2 S23 19.8 | 183 15.5 11.4 N12 38.4 8.4 56.6 | Markab 4 04.4 N19 23.1
16 | 60 55.9 S23 19.9 | 197 46.0 11.5 N12 29.9 8.5 56.5 | Menkar 304 12.3 N 7 05.7
17 | 75 55.6 S23 19.9 | 212 16.6 11.6 N12 21.4 8.5 56.5 |
| | | Menkent 136 48.3 S40 09.2
18 | 90 55.3 S23 19.9 | 226 47.3 11.7 N12 12.9 8.6 56.5 | Miaplacidus 219 31.7 S72 54.7
19 | 105 55.0 S23 19.9 | 241 18.0 11.7 N12 04.2 8.6 56.4 | Mirfak 294 55.7 N52 34.4
20 | 120 54.7 S23 19.9 | 255 48.8 11.8 N11 55.6 8.7 56.4 | Nunki 64 06.7 S25 17.1
21 | 135 54.4 S23 20.0 | 270 19.7 11.9 N11 46.8 8.7 56.4 | Peacock 38 17.1 S54 12.2
22 | 150 54.1 S23 20.0 | 284 50.6 11.9 N11 38.1 8.8 56.3 |
23 | 165 53.8 S23 20.0 | 299 21.6 12.0 N11 29.3 8.8 56.3 | Polaris 126 01.4 N92 44.3
------+-------------------+----------------------------------| Pollux 231 45.3 N26 06.4
21 0 | 180 53.5 S23 20.0 | 313 52.7 12.1 N11 20.4 8.9 56.3 | Procyon 234 57.6 N 3 11.8
1 | 195 53.2 S23 20.0 | 328 23.8 12.1 N11 11.5 8.9 56.2 | Rasalhague 87 11.9 N12 02.2
2 | 210 52.9 S23 20.1 | 342 55.0 12.2 N11 02.6 8.9 56.2 | Regulus 197 31.5 N 8 09.5
3 | 225 52.6 S23 20.1 | 357 26.3 12.3 N10 53.6 9.0 56.2 |
4 | 240 52.3 S23 20.1 | 11 57.7 12.4 N10 44.6 9.0 56.2 | Rigel 271 57.9 S 7 20.9
T 5 | 255 52.0 S23 20.1 | 26 29.1 12.4 N10 35.5 9.1 56.1 | Rigil Kent 126 45.9 S63 59.6
U | | | Sabik 91 12.8 S16 38.1
E 6 | 270 51.7 S23 20.1 | 41 00.6 12.5 N10 26.4 9.1 56.1 | Schedar 338 42.4 N60 46.9
S 7 | 285 51.4 S23 20.1 | 55 32.1 12.6 N10 17.2 9.1 56.1 | Shaula 83 21.7 S37 36.7
D 8 | 300 51.1 S23 20.1 | 70 03.7 12.6 N10 08.0 9.2 56.0 |
A 9 | 315 50.8 S23 20.1 | 84 35.4 12.7 N 9 58.8 9.2 56.0 | Sirius 250 05.7 S17 49.0
Y 10 | 330 50.5 S23 20.1 | 99 07.2 12.7 N 9 49.6 9.3 56.0 | Spica 148 24.1 S15 11.1
11 | 345 50.2 S23 20.2 | 113 39.0 12.8 N 9 40.3 9.3 55.9 | Suhail 215 46.7 S46 34.8
| | | Vega 74 08.0 N39 32.1
12 | 0 49.9 S23 20.2 | 128 10.8 12.9 N 9 30.9 9.3 55.9 | Zuben-ubi 126 47.3 S19 13.6
13 | 15 49.6 S23 20.2 | 142 42.8 12.9 N 9 21.6 9.4 55.9 |
14 | 30 49.3 S23 20.2 | 157 14.8 13.0 N 9 12.2 9.4 55.9 |
15 | 45 49.0 S23 20.2 | 171 46.8 13.1 N 9 02.7 9.4 55.8 |
16 | 60 48.7 S23 20.2 | 186 18.9 13.1 N 8 53.3 9.5 55.8 |
17 | 75 48.4 S23 20.2 | 200 51.1 13.2 N 8 43.8 9.5 55.8 |
| | |
18 | 90 48.1 S23 20.2 | 215 23.3 13.2 N 8 34.3 9.5 55.7 |
19 | 105 47.8 S23 20.2 | 229 55.6 13.3 N 8 24.7 9.5 55.7 |
20 | 120 47.5 S23 20.2 | 244 28.0 13.3 N 8 15.2 9.6 55.7 |
21 | 135 47.2 S23 20.2 | 259 00.4 13.4 N 8 05.6 9.6 55.7 |
22 | 150 46.9 S23 20.2 | 273 32.8 13.5 N 7 55.9 9.6 55.6 |
23 | 165 46.6 S23 20.2 | 288 05.4 13.5 N 7 46.3 9.7 55.6 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 15.6 15.4 15.2 |