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2821 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 | 88 05.1 | 202 05.1 S20 24.6 | 112 06.4 S11 13.3 | 280 12.0 N 6 13.7 | 73 47.6 N 3 22.1
1 | 103 07.6 | 217 04.3 S20 25.2 | 127 07.1 S11 12.6 | 295 14.4 N 6 13.7 | 88 50.1 N 3 22.1
2 | 118 10.1 | 232 03.5 S20 25.8 | 142 07.7 S11 11.9 | 310 16.8 N 6 13.6 | 103 52.6 N 3 22.1
3 | 133 12.5 | 247 02.7 S20 26.3 | 157 08.4 S11 11.1 | 325 19.1 N 6 13.6 | 118 55.0 N 3 22.1
4 | 148 15.0 | 262 01.8 S20 26.9 | 172 09.1 S11 10.4 | 340 21.5 N 6 13.6 | 133 57.5 N 3 22.2
S 5 | 163 17.4 | 277 01.0 S20 27.5 | 187 09.8 S11 09.7 | 355 23.9 N 6 13.5 | 148 59.9 N 3 22.2
U
N 6 | 178 19.9 | 292 00.2 S20 28.1 | 202 10.5 S11 09.0 | 10 26.2 N 6 13.5 | 164 02.4 N 3 22.2
D 7 | 193 22.4 | 306 59.4 S20 28.7 | 217 11.2 S11 08.2 | 25 28.6 N 6 13.5 | 179 04.9 N 3 22.2
A 8 | 208 24.8 | 321 58.6 S20 29.3 | 232 11.9 S11 07.5 | 40 30.9 N 6 13.4 | 194 07.3 N 3 22.2
Y 9 | 223 27.3 | 336 57.7 S20 29.8 | 247 12.6 S11 06.8 | 55 33.3 N 6 13.4 | 209 09.8 N 3 22.2
10 | 238 29.8 | 351 56.9 S20 30.4 | 262 13.3 S11 06.1 | 70 35.7 N 6 13.4 | 224 12.2 N 3 22.2
11 | 253 32.2 | 6 56.1 S20 31.0 | 277 14.0 S11 05.3 | 85 38.0 N 6 13.4 | 239 14.7 N 3 22.2
12 | 268 34.7 | 21 55.3 S20 31.6 | 292 14.7 S11 04.6 | 100 40.4 N 6 13.3 | 254 17.2 N 3 22.3
13 | 283 37.2 | 36 54.5 S20 32.1 | 307 15.4 S11 03.9 | 115 42.8 N 6 13.3 | 269 19.6 N 3 22.3
14 | 298 39.6 | 51 53.6 S20 32.7 | 322 16.1 S11 03.1 | 130 45.1 N 6 13.3 | 284 22.1 N 3 22.3
15 | 313 42.1 | 66 52.8 S20 33.3 | 337 16.8 S11 02.4 | 145 47.5 N 6 13.2 | 299 24.5 N 3 22.3
16 | 328 44.5 | 81 52.0 S20 33.9 | 352 17.5 S11 01.7 | 160 49.9 N 6 13.2 | 314 27.0 N 3 22.3
17 | 343 47.0 | 96 51.2 S20 34.4 | 7 18.2 S11 01.0 | 175 52.2 N 6 13.2 | 329 29.5 N 3 22.3
18 | 358 49.5 | 111 50.3 S20 35.0 | 22 18.9 S11 00.2 | 190 54.6 N 6 13.1 | 344 31.9 N 3 22.3
19 | 13 51.9 | 126 49.5 S20 35.6 | 37 19.6 S10 59.5 | 205 57.0 N 6 13.1 | 359 34.4 N 3 22.3
20 | 28 54.4 | 141 48.7 S20 36.1 | 52 20.3 S10 58.8 | 220 59.3 N 6 13.1 | 14 36.8 N 3 22.4
21 | 43 56.9 | 156 47.9 S20 36.7 | 67 21.0 S10 58.1 | 236 01.7 N 6 13.1 | 29 39.3 N 3 22.4
22 | 58 59.3 | 171 47.0 S20 37.3 | 82 21.7 S10 57.3 | 251 04.1 N 6 13.0 | 44 41.7 N 3 22.4
23 | 74 01.8 | 186 46.2 S20 37.8 | 97 22.4 S10 56.6 | 266 06.4 N 6 13.0 | 59 44.2 N 3 22.4
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 89 04.3 | 201 45.4 S20 38.4 | 112 23.1 S10 55.9 | 281 08.8 N 6 13.0 | 74 46.7 N 3 22.4
1 | 104 06.7 | 216 44.6 S20 39.0 | 127 23.8 S10 55.1 | 296 11.2 N 6 12.9 | 89 49.1 N 3 22.4
2 | 119 09.2 | 231 43.7 S20 39.5 | 142 24.5 S10 54.4 | 311 13.6 N 6 12.9 | 104 51.6 N 3 22.4
3 | 134 11.7 | 246 42.9 S20 40.1 | 157 25.2 S10 53.7 | 326 15.9 N 6 12.9 | 119 54.0 N 3 22.5
4 | 149 14.1 | 261 42.1 S20 40.6 | 172 25.9 S10 53.0 | 341 18.3 N 6 12.9 | 134 56.5 N 3 22.5
M 5 | 164 16.6 | 276 41.2 S20 41.2 | 187 26.6 S10 52.2 | 356 20.7 N 6 12.8 | 149 58.9 N 3 22.5
O
N 6 | 179 19.0 | 291 40.4 S20 41.8 | 202 27.3 S10 51.5 | 11 23.0 N 6 12.8 | 165 01.4 N 3 22.5
D 7 | 194 21.5 | 306 39.6 S20 42.3 | 217 28.0 S10 50.8 | 26 25.4 N 6 12.8 | 180 03.9 N 3 22.5
A 8 | 209 24.0 | 321 38.8 S20 42.9 | 232 28.7 S10 50.0 | 41 27.8 N 6 12.8 | 195 06.3 N 3 22.5
Y 9 | 224 26.4 | 336 37.9 S20 43.4 | 247 29.4 S10 49.3 | 56 30.1 N 6 12.7 | 210 08.8 N 3 22.5
10 | 239 28.9 | 351 37.1 S20 44.0 | 262 30.1 S10 48.6 | 71 32.5 N 6 12.7 | 225 11.2 N 3 22.6
11 | 254 31.4 | 6 36.3 S20 44.5 | 277 30.8 S10 47.9 | 86 34.9 N 6 12.7 | 240 13.7 N 3 22.6
12 | 269 33.8 | 21 35.4 S20 45.1 | 292 31.5 S10 47.1 | 101 37.3 N 6 12.6 | 255 16.1 N 3 22.6
13 | 284 36.3 | 36 34.6 S20 45.6 | 307 32.2 S10 46.4 | 116 39.6 N 6 12.6 | 270 18.6 N 3 22.6
14 | 299 38.8 | 51 33.8 S20 46.2 | 322 32.9 S10 45.7 | 131 42.0 N 6 12.6 | 285 21.0 N 3 22.6
15 | 314 41.2 | 66 32.9 S20 46.7 | 337 33.6 S10 44.9 | 146 44.4 N 6 12.6 | 300 23.5 N 3 22.6
16 | 329 43.7 | 81 32.1 S20 47.3 | 352 34.3 S10 44.2 | 161 46.8 N 6 12.5 | 315 26.0 N 3 22.7
17 | 344 46.2 | 96 31.3 S20 47.8 | 7 35.0 S10 43.5 | 176 49.1 N 6 12.5 | 330 28.4 N 3 22.7
18 | 359 48.6 | 111 30.4 S20 48.4 | 22 35.7 S10 42.7 | 191 51.5 N 6 12.5 | 345 30.9 N 3 22.7
19 | 14 51.1 | 126 29.6 S20 48.9 | 37 36.4 S10 42.0 | 206 53.9 N 6 12.5 | 0 33.3 N 3 22.7
20 | 29 53.5 | 141 28.8 S20 49.5 | 52 37.1 S10 41.3 | 221 56.3 N 6 12.4 | 15 35.8 N 3 22.7
21 | 44 56.0 | 156 27.9 S20 50.0 | 67 37.8 S10 40.5 | 236 58.6 N 6 12.4 | 30 38.2 N 3 22.7
22 | 59 58.5 | 171 27.1 S20 50.5 | 82 38.5 S10 39.8 | 252 01.0 N 6 12.4 | 45 40.7 N 3 22.7
23 | 75 00.9 | 186 26.2 S20 51.1 | 97 39.2 S10 39.1 | 267 03.4 N 6 12.4 | 60 43.1 N 3 22.8
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 03.4 | 201 25.4 S20 51.6 | 112 39.9 S10 38.3 | 282 05.8 N 6 12.3 | 75 45.6 N 3 22.8
1 | 105 05.9 | 216 24.6 S20 52.2 | 127 40.6 S10 37.6 | 297 08.1 N 6 12.3 | 90 48.0 N 3 22.8
2 | 120 08.3 | 231 23.7 S20 52.7 | 142 41.3 S10 36.9 | 312 10.5 N 6 12.3 | 105 50.5 N 3 22.8
3 | 135 10.8 | 246 22.9 S20 53.2 | 157 42.1 S10 36.2 | 327 12.9 N 6 12.3 | 120 52.9 N 3 22.8
4 | 150 13.3 | 261 22.1 S20 53.8 | 172 42.8 S10 35.4 | 342 15.3 N 6 12.2 | 135 55.4 N 3 22.8
T 5 | 165 15.7 | 276 21.2 S20 54.3 | 187 43.5 S10 34.7 | 357 17.6 N 6 12.2 | 150 57.8 N 3 22.9
U
E 6 | 180 18.2 | 291 20.4 S20 54.8 | 202 44.2 S10 34.0 | 12 20.0 N 6 12.2 | 166 00.3 N 3 22.9
S 7 | 195 20.6 | 306 19.5 S20 55.4 | 217 44.9 S10 33.2 | 27 22.4 N 6 12.2 | 181 02.7 N 3 22.9
D 8 | 210 23.1 | 321 18.7 S20 55.9 | 232 45.6 S10 32.5 | 42 24.8 N 6 12.1 | 196 05.2 N 3 22.9
A 9 | 225 25.6 | 336 17.9 S20 56.4 | 247 46.3 S10 31.8 | 57 27.2 N 6 12.1 | 211 07.7 N 3 22.9
Y 10 | 240 28.0 | 351 17.0 S20 57.0 | 262 47.0 S10 31.0 | 72 29.5 N 6 12.1 | 226 10.1 N 3 22.9
11 | 255 30.5 | 6 16.2 S20 57.5 | 277 47.7 S10 30.3 | 87 31.9 N 6 12.1 | 241 12.6 N 3 23.0
12 | 270 33.0 | 21 15.3 S20 58.0 | 292 48.4 S10 29.6 | 102 34.3 N 6 12.0 | 256 15.0 N 3 23.0
13 | 285 35.4 | 36 14.5 S20 58.5 | 307 49.1 S10 28.8 | 117 36.7 N 6 12.0 | 271 17.5 N 3 23.0
14 | 300 37.9 | 51 13.7 S20 59.1 | 322 49.8 S10 28.1 | 132 39.1 N 6 12.0 | 286 19.9 N 3 23.0
15 | 315 40.4 | 66 12.8 S20 59.6 | 337 50.5 S10 27.4 | 147 41.4 N 6 12.0 | 301 22.4 N 3 23.0
16 | 330 42.8 | 81 12.0 S21 00.1 | 352 51.2 S10 26.6 | 162 43.8 N 6 12.0 | 316 24.8 N 3 23.0
17 | 345 45.3 | 96 11.1 S21 00.6 | 7 51.9 S10 25.9 | 177 46.2 N 6 11.9 | 331 27.3 N 3 23.1
18 | 0 47.8 | 111 10.3 S21 01.2 | 22 52.6 S10 25.1 | 192 48.6 N 6 11.9 | 346 29.7 N 3 23.1
19 | 15 50.2 | 126 09.4 S21 01.7 | 37 53.3 S10 24.4 | 207 51.0 N 6 11.9 | 1 32.2 N 3 23.1
20 | 30 52.7 | 141 08.6 S21 02.2 | 52 54.0 S10 23.7 | 222 53.3 N 6 11.9 | 16 34.6 N 3 23.1
21 | 45 55.1 | 156 07.7 S21 02.7 | 67 54.7 S10 22.9 | 237 55.7 N 6 11.8 | 31 37.1 N 3 23.1
22 | 60 57.6 | 171 06.9 S21 03.2 | 82 55.4 S10 22.2 | 252 58.1 N 6 11.8 | 46 39.5 N 3 23.1
23 | 76 00.1 | 186 06.0 S21 03.7 | 97 56.1 S10 21.5 | 268 00.5 N 6 11.8 | 61 42.0 N 3 23.2
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.8 d 0.6 | v 0.7 d 0.7 | v 2.4 d 0.0 | v 2.5 d 0.0
2821 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 08.2 S23 18.2 | 139 54.8 9.6 S23 14.5 6.1 56.0 | Acamar 307 34.5 S37 03.1
1 | 196 07.9 S23 18.3 | 154 23.4 9.6 S23 08.2 6.3 56.0 | Achernar 327 52.2 S53 05.8
2 | 211 07.6 S23 18.4 | 168 52.0 9.6 S23 01.8 6.4 56.0 | Acrux 161 45.9 S67 37.5
3 | 226 07.3 S23 18.4 | 183 20.7 9.7 S22 55.3 6.5 56.0 | Adhara 247 11.9 S30 07.1
4 | 241 07.0 S23 18.5 | 197 49.4 9.7 S22 48.6 6.6 56.1 | Albireo 58 58.7 N29 42.7
S 5 | 256 06.7 S23 18.5 | 212 18.1 9.7 S22 41.9 6.8 56.1 |
U | | | Aldebaran 279 09.6 N18 06.5
N 6 | 271 06.4 S23 18.6 | 226 46.9 9.8 S22 35.0 6.9 56.1 | Alioth 157 26.3 N51 31.2
D 7 | 286 06.1 S23 18.6 | 241 15.7 9.8 S22 27.9 7.0 56.1 | Alkaid 144 58.5 N45 14.3
A 8 | 301 05.8 S23 18.7 | 255 44.6 9.8 S22 20.8 7.1 56.1 | Al Na-ir 15 01.4 S42 58.6
Y 9 | 316 05.5 S23 18.7 | 270 13.4 9.9 S22 13.6 7.3 56.2 | Alnilam 265 27.4 S 0 43.4
10 | 331 05.2 S23 18.7 | 284 42.3 9.9 S22 06.2 7.4 56.2 |
11 | 346 04.9 S23 18.8 | 299 11.3 9.9 S21 58.7 7.5 56.2 | Alphard 207 57.0 S12 14.0
| | | Alphecca 117 34.2 N23 59.2
12 | 1 04.6 S23 18.8 | 313 40.3 10.0 S21 51.1 7.6 56.2 | Alpheratz 347 12.0 N33 36.7
13 | 16 04.3 S23 18.9 | 328 09.3 10.0 S21 43.3 7.7 56.3 | Altair 52 14.1 N11 04.1
14 | 31 04.0 S23 18.9 | 342 38.4 10.1 S21 35.5 7.8 56.3 | Ankaa 343 15.1 S37 52.3
15 | 46 03.7 S23 19.0 | 357 07.5 10.1 S21 27.5 8.0 56.3 |
16 | 61 03.4 S23 19.0 | 11 36.6 10.1 S21 19.5 8.1 56.3 | Antares 99 59.3 S28 12.0
17 | 76 03.1 S23 19.0 | 26 05.8 10.2 S21 11.3 8.2 56.3 | Arcturus 136 39.4 N14 56.3
| | | Atria 85 57.5 S70 26.7
18 | 91 02.8 S23 19.1 | 40 35.0 10.2 S21 03.0 8.3 56.4 | Avior 230 05.0 S62 09.4
19 | 106 02.5 S23 19.1 | 55 04.2 10.3 S20 54.5 8.4 56.4 | Bellatrix 267 38.0 N 7 02.7
20 | 121 02.2 S23 19.2 | 69 33.5 10.3 S20 46.0 8.5 56.4 |
21 | 136 01.9 S23 19.2 | 84 02.9 10.3 S20 37.3 8.6 56.4 | Betelgeuse 260 01.4 N 7 30.8
22 | 151 01.6 S23 19.2 | 98 32.2 10.4 S20 28.6 8.8 56.4 | Canopus 259 21.7 S53 09.8
23 | 166 01.3 S23 19.3 | 113 01.6 10.4 S20 19.7 8.9 56.5 | Capella 265 34.9 N46 46.1
------+-------------------+----------------------------------| Castor 233 12.5 N30 02.7
20 0 | 181 01.0 S23 19.3 | 127 31.1 10.5 S20 10.7 9.0 56.5 | Deneb 42 34.6 N48 13.9
1 | 196 00.7 S23 19.3 | 142 00.6 10.5 S20 01.7 9.1 56.5 |
2 | 211 00.4 S23 19.4 | 156 30.1 10.5 S19 52.5 9.2 56.5 | Denebola 172 12.8 N 9 59.5
3 | 226 00.1 S23 19.4 | 170 59.7 10.6 S19 43.2 9.3 56.6 | Diphda 338 44.6 S13 30.2
4 | 240 59.8 S23 19.4 | 185 29.3 10.6 S19 33.7 9.4 56.6 | Dubhe 181 27.7 N57 18.6
M 5 | 255 59.5 S23 19.5 | 199 59.0 10.7 S19 24.2 9.5 56.6 | Elnath 265 22.6 N29 14.6
O | | | Eltanin 86 00.5 N51 24.7
N 6 | 270 59.2 S23 19.5 | 214 28.6 10.7 S19 14.6 9.6 56.6 |
D 7 | 285 58.9 S23 19.5 | 228 58.4 10.7 S19 04.9 9.7 56.7 | Enif 23 48.7 N13 39.2
A 8 | 300 58.6 S23 19.5 | 243 28.2 10.8 S18 55.0 9.8 56.7 | Fomalhaut 4 13.2 S25 16.4
Y 9 | 315 58.3 S23 19.6 | 257 58.0 10.8 S18 45.1 9.9 56.7 | Gacrux 160 40.7 S61 41.2
10 | 330 58.0 S23 19.6 | 272 27.8 10.9 S18 35.1 10.0 56.7 | Gienah 165 24.7 S22 05.0
11 | 345 57.7 S23 19.6 | 286 57.7 10.9 S18 24.9 10.1 56.7 | Hadar 134 22.9 S64 17.3
| | |
12 | 0 57.4 S23 19.7 | 301 27.7 10.9 S18 14.7 10.2 56.8 | Hamal 316 32.3 N27 18.6
13 | 15 57.1 S23 19.7 | 315 57.6 11.0 S18 04.4 10.3 56.8 | Kaus Austr. 70 17.4 S33 56.7
14 | 30 56.8 S23 19.7 | 330 27.6 11.0 S17 53.9 10.4 56.8 | Kochab 137 41.1 N70 48.1
15 | 45 56.5 S23 19.7 | 344 57.7 11.1 S17 43.4 10.5 56.8 | Markab 3 30.8 N19 37.3
16 | 60 56.2 S23 19.7 | 359 27.8 11.1 S17 32.8 10.6 56.9 | Menkar 303 37.0 N 7 16.1
17 | 75 55.9 S23 19.8 | 13 57.9 11.1 S17 22.1 10.7 56.9 |
| | | Menkent 136 08.7 S40 22.3
18 | 90 55.7 S23 19.8 | 28 28.1 11.2 S17 11.2 10.8 56.9 | Miaplacidus 219 24.4 S73 05.5
19 | 105 55.4 S23 19.8 | 42 58.3 11.2 S17 00.3 10.9 56.9 | Mirfak 294 07.7 N52 43.8
20 | 120 55.1 S23 19.8 | 57 28.5 11.2 S16 49.3 11.0 57.0 | Nunki 63 25.1 S25 13.8
21 | 135 54.8 S23 19.8 | 71 58.8 11.3 S16 38.2 11.1 57.0 | Peacock 37 24.2 S54 03.7
22 | 150 54.5 S23 19.9 | 86 29.1 11.3 S16 27.0 11.2 57.0 |
23 | 165 54.2 S23 19.9 | 100 59.5 11.4 S16 15.8 11.3 57.0 | Polaris 115 00.6 N92 56.3
------+-------------------+----------------------------------| Pollux 231 04.2 N26 00.0
21 0 | 180 53.9 S23 19.9 | 115 29.9 11.4 S16 04.4 11.4 57.1 | Procyon 234 22.3 N 3 05.0
1 | 195 53.6 S23 19.9 | 130 00.3 11.4 S15 52.9 11.5 57.1 | Rasalhague 86 40.5 N12 00.2
2 | 210 53.3 S23 19.9 | 144 30.8 11.5 S15 41.4 11.5 57.1 | Regulus 196 55.7 N 7 56.6
3 | 225 53.0 S23 19.9 | 159 01.3 11.5 S15 29.8 11.6 57.1 |
4 | 240 52.7 S23 19.9 | 173 31.8 11.5 S15 18.0 11.7 57.2 | Rigel 271 25.5 S 7 17.8
T 5 | 255 52.4 S23 20.0 | 188 02.4 11.6 S15 06.2 11.8 57.2 | Rigil Kent 126 00.3 S64 10.5
U | | | Sabik 90 34.2 S16 41.4
E 6 | 270 52.1 S23 20.0 | 202 33.0 11.6 S14 54.4 11.9 57.2 | Schedar 338 04.2 N61 01.4
S 7 | 285 51.8 S23 20.0 | 217 03.6 11.6 S14 42.4 12.0 57.2 | Shaula 82 36.1 S37 38.6
D 8 | 300 51.5 S23 20.0 | 231 34.3 11.7 S14 30.3 12.1 57.3 |
A 9 | 315 51.2 S23 20.0 | 246 05.0 11.7 S14 18.2 12.1 57.3 | Sirius 249 36.0 S17 52.6
Y 10 | 330 50.9 S23 20.0 | 260 35.7 11.7 S14 06.0 12.2 57.3 | Spica 147 48.5 S15 25.0
11 | 345 50.6 S23 20.0 | 275 06.5 11.8 S13 53.7 12.3 57.3 | Suhail 215 21.9 S46 45.4
| | | Vega 73 45.0 N39 34.5
12 | 0 50.3 S23 20.0 | 289 37.3 11.8 S13 41.3 12.4 57.4 | Zuben-ubi 126 11.2 S19 24.7
13 | 15 50.0 S23 20.0 | 304 08.1 11.8 S13 28.9 12.4 57.4 |
14 | 30 49.7 S23 20.0 | 318 38.9 11.8 S13 16.3 12.5 57.4 |
15 | 45 49.4 S23 20.0 | 333 09.8 11.9 S13 03.7 12.6 57.4 |
16 | 60 49.1 S23 20.0 | 347 40.7 11.9 S12 51.1 12.7 57.5 |
17 | 75 48.8 S23 20.0 | 2 11.7 11.9 S12 38.3 12.7 57.5 |
| | |
18 | 90 48.5 S23 20.0 | 16 42.6 12.0 S12 25.5 12.8 57.5 |
19 | 105 48.2 S23 20.0 | 31 13.6 12.0 S12 12.6 12.9 57.5 |
20 | 120 47.9 S23 20.0 | 45 44.6 12.0 S11 59.6 13.0 57.6 |
21 | 135 47.6 S23 20.0 | 60 15.6 12.0 S11 46.6 13.0 57.6 |
22 | 150 47.3 S23 20.0 | 74 46.7 12.1 S11 33.5 13.1 57.6 |
23 | 165 47.0 S23 20.0 | 89 17.8 12.1 S11 20.3 13.2 57.6 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 15.3 15.5 15.6 |