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2771 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 12.7 | 227 57.1 S12 32.4 | 252 36.7 S 4 19.0 | 12 48.6 N21 45.9 | 302 38.6 N14 49.7
1 | 102 15.2 | 242 57.5 S12 32.9 | 267 37.9 S 4 19.5 | 27 51.4 N21 45.9 | 317 41.2 N14 49.7
2 | 117 17.6 | 257 57.8 S12 33.4 | 282 39.1 S 4 20.0 | 42 54.2 N21 45.9 | 332 43.7 N14 49.7
3 | 132 20.1 | 272 58.2 S12 33.9 | 297 40.3 S 4 20.5 | 57 57.0 N21 45.9 | 347 46.2 N14 49.7
4 | 147 22.5 | 287 58.5 S12 34.3 | 312 41.5 S 4 21.0 | 72 59.8 N21 45.8 | 2 48.8 N14 49.8
S 5 | 162 25.0 | 302 58.9 S12 34.8 | 327 42.7 S 4 21.5 | 88 02.7 N21 45.8 | 17 51.3 N14 49.8
U
N 6 | 177 27.5 | 317 59.2 S12 35.3 | 342 44.0 S 4 22.0 | 103 05.5 N21 45.8 | 32 53.8 N14 49.8
D 7 | 192 29.9 | 332 59.6 S12 35.8 | 357 45.2 S 4 22.5 | 118 08.3 N21 45.7 | 47 56.4 N14 49.9
A 8 | 207 32.4 | 347 59.9 S12 36.3 | 12 46.4 S 4 23.0 | 133 11.1 N21 45.7 | 62 58.9 N14 49.9
Y 9 | 222 34.9 | 3 00.3 S12 36.8 | 27 47.6 S 4 23.5 | 148 13.9 N21 45.7 | 78 01.4 N14 49.9
10 | 237 37.3 | 18 00.6 S12 37.3 | 42 48.8 S 4 24.0 | 163 16.7 N21 45.7 | 93 03.9 N14 49.9
11 | 252 39.8 | 33 00.9 S12 37.8 | 57 50.0 S 4 24.5 | 178 19.5 N21 45.6 | 108 06.5 N14 50.0
12 | 267 42.3 | 48 01.3 S12 38.3 | 72 51.3 S 4 25.0 | 193 22.4 N21 45.6 | 123 09.0 N14 50.0
13 | 282 44.7 | 63 01.6 S12 38.7 | 87 52.5 S 4 25.5 | 208 25.2 N21 45.6 | 138 11.5 N14 50.0
14 | 297 47.2 | 78 02.0 S12 39.2 | 102 53.7 S 4 26.0 | 223 28.0 N21 45.5 | 153 14.1 N14 50.1
15 | 312 49.7 | 93 02.3 S12 39.7 | 117 54.9 S 4 26.5 | 238 30.8 N21 45.5 | 168 16.6 N14 50.1
16 | 327 52.1 | 108 02.6 S12 40.2 | 132 56.1 S 4 27.0 | 253 33.6 N21 45.5 | 183 19.1 N14 50.1
17 | 342 54.6 | 123 03.0 S12 40.7 | 147 57.3 S 4 27.5 | 268 36.4 N21 45.5 | 198 21.7 N14 50.2
18 | 357 57.0 | 138 03.3 S12 41.2 | 162 58.6 S 4 28.0 | 283 39.3 N21 45.4 | 213 24.2 N14 50.2
19 | 12 59.5 | 153 03.6 S12 41.7 | 177 59.8 S 4 28.5 | 298 42.1 N21 45.4 | 228 26.7 N14 50.2
20 | 28 02.0 | 168 03.9 S12 42.2 | 193 01.0 S 4 29.0 | 313 44.9 N21 45.4 | 243 29.3 N14 50.2
21 | 43 04.4 | 183 04.3 S12 42.7 | 208 02.2 S 4 29.5 | 328 47.7 N21 45.3 | 258 31.8 N14 50.3
22 | 58 06.9 | 198 04.6 S12 43.2 | 223 03.4 S 4 30.0 | 343 50.5 N21 45.3 | 273 34.3 N14 50.3
23 | 73 09.4 | 213 04.9 S12 43.7 | 238 04.7 S 4 30.5 | 358 53.3 N21 45.3 | 288 36.9 N14 50.3
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 11.8 | 228 05.2 S12 44.2 | 253 05.9 S 4 31.0 | 13 56.1 N21 45.3 | 303 39.4 N14 50.4
1 | 103 14.3 | 243 05.5 S12 44.7 | 268 07.1 S 4 31.5 | 28 59.0 N21 45.2 | 318 41.9 N14 50.4
2 | 118 16.8 | 258 05.9 S12 45.2 | 283 08.3 S 4 32.0 | 44 01.8 N21 45.2 | 333 44.5 N14 50.4
3 | 133 19.2 | 273 06.2 S12 45.7 | 298 09.5 S 4 32.5 | 59 04.6 N21 45.2 | 348 47.0 N14 50.5
4 | 148 21.7 | 288 06.5 S12 46.2 | 313 10.8 S 4 33.0 | 74 07.4 N21 45.2 | 3 49.5 N14 50.5
M 5 | 163 24.1 | 303 06.8 S12 46.7 | 328 12.0 S 4 33.5 | 89 10.2 N21 45.1 | 18 52.1 N14 50.5
O
N 6 | 178 26.6 | 318 07.1 S12 47.2 | 343 13.2 S 4 34.0 | 104 13.0 N21 45.1 | 33 54.6 N14 50.6
D 7 | 193 29.1 | 333 07.4 S12 47.7 | 358 14.4 S 4 34.5 | 119 15.8 N21 45.1 | 48 57.2 N14 50.6
A 8 | 208 31.5 | 348 07.8 S12 48.2 | 13 15.6 S 4 35.0 | 134 18.6 N21 45.0 | 63 59.7 N14 50.6
Y 9 | 223 34.0 | 3 08.1 S12 48.7 | 28 16.9 S 4 35.5 | 149 21.5 N21 45.0 | 79 02.2 N14 50.6
10 | 238 36.5 | 18 08.4 S12 49.2 | 43 18.1 S 4 36.0 | 164 24.3 N21 45.0 | 94 04.8 N14 50.7
11 | 253 38.9 | 33 08.7 S12 49.7 | 58 19.3 S 4 36.5 | 179 27.1 N21 45.0 | 109 07.3 N14 50.7
12 | 268 41.4 | 48 09.0 S12 50.2 | 73 20.5 S 4 37.0 | 194 29.9 N21 44.9 | 124 09.8 N14 50.7
13 | 283 43.9 | 63 09.3 S12 50.7 | 88 21.7 S 4 37.5 | 209 32.7 N21 44.9 | 139 12.4 N14 50.8
14 | 298 46.3 | 78 09.6 S12 51.2 | 103 23.0 S 4 38.0 | 224 35.5 N21 44.9 | 154 14.9 N14 50.8
15 | 313 48.8 | 93 09.9 S12 51.7 | 118 24.2 S 4 38.5 | 239 38.3 N21 44.8 | 169 17.4 N14 50.8
16 | 328 51.3 | 108 10.2 S12 52.2 | 133 25.4 S 4 39.0 | 254 41.1 N21 44.8 | 184 20.0 N14 50.9
17 | 343 53.7 | 123 10.5 S12 52.7 | 148 26.6 S 4 39.5 | 269 44.0 N21 44.8 | 199 22.5 N14 50.9
18 | 358 56.2 | 138 10.8 S12 53.2 | 163 27.8 S 4 40.0 | 284 46.8 N21 44.8 | 214 25.1 N14 50.9
19 | 13 58.6 | 153 11.1 S12 53.7 | 178 29.1 S 4 40.5 | 299 49.6 N21 44.7 | 229 27.6 N14 51.0
20 | 29 01.1 | 168 11.4 S12 54.2 | 193 30.3 S 4 41.0 | 314 52.4 N21 44.7 | 244 30.1 N14 51.0
21 | 44 03.6 | 183 11.7 S12 54.7 | 208 31.5 S 4 41.5 | 329 55.2 N21 44.7 | 259 32.7 N14 51.0
22 | 59 06.0 | 198 12.0 S12 55.2 | 223 32.7 S 4 41.9 | 344 58.0 N21 44.6 | 274 35.2 N14 51.1
23 | 74 08.5 | 213 12.3 S12 55.7 | 238 34.0 S 4 42.4 | 0 00.8 N21 44.6 | 289 37.7 N14 51.1
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 11.0 | 228 12.5 S12 56.2 | 253 35.2 S 4 42.9 | 15 03.6 N21 44.6 | 304 40.3 N14 51.1
1 | 104 13.4 | 243 12.8 S12 56.7 | 268 36.4 S 4 43.4 | 30 06.4 N21 44.6 | 319 42.8 N14 51.2
2 | 119 15.9 | 258 13.1 S12 57.2 | 283 37.6 S 4 43.9 | 45 09.3 N21 44.5 | 334 45.4 N14 51.2
3 | 134 18.4 | 273 13.4 S12 57.7 | 298 38.8 S 4 44.4 | 60 12.1 N21 44.5 | 349 47.9 N14 51.2
4 | 149 20.8 | 288 13.7 S12 58.2 | 313 40.1 S 4 44.9 | 75 14.9 N21 44.5 | 4 50.4 N14 51.2
T 5 | 164 23.3 | 303 14.0 S12 58.7 | 328 41.3 S 4 45.4 | 90 17.7 N21 44.4 | 19 53.0 N14 51.3
U
E 6 | 179 25.8 | 318 14.3 S12 59.2 | 343 42.5 S 4 45.9 | 105 20.5 N21 44.4 | 34 55.5 N14 51.3
S 7 | 194 28.2 | 333 14.5 S12 59.8 | 358 43.7 S 4 46.4 | 120 23.3 N21 44.4 | 49 58.1 N14 51.3
D 8 | 209 30.7 | 348 14.8 S13 00.3 | 13 45.0 S 4 46.9 | 135 26.1 N21 44.4 | 65 00.6 N14 51.4
A 9 | 224 33.1 | 3 15.1 S13 00.8 | 28 46.2 S 4 47.4 | 150 28.9 N21 44.3 | 80 03.1 N14 51.4
Y 10 | 239 35.6 | 18 15.4 S13 01.3 | 43 47.4 S 4 47.9 | 165 31.7 N21 44.3 | 95 05.7 N14 51.4
11 | 254 38.1 | 33 15.6 S13 01.8 | 58 48.6 S 4 48.4 | 180 34.5 N21 44.3 | 110 08.2 N14 51.5
12 | 269 40.5 | 48 15.9 S13 02.3 | 73 49.9 S 4 48.9 | 195 37.4 N21 44.3 | 125 10.8 N14 51.5
13 | 284 43.0 | 63 16.2 S13 02.8 | 88 51.1 S 4 49.4 | 210 40.2 N21 44.2 | 140 13.3 N14 51.5
14 | 299 45.5 | 78 16.5 S13 03.3 | 103 52.3 S 4 49.9 | 225 43.0 N21 44.2 | 155 15.8 N14 51.6
15 | 314 47.9 | 93 16.7 S13 03.8 | 118 53.5 S 4 50.3 | 240 45.8 N21 44.2 | 170 18.4 N14 51.6
16 | 329 50.4 | 108 17.0 S13 04.4 | 133 54.8 S 4 50.8 | 255 48.6 N21 44.1 | 185 20.9 N14 51.6
17 | 344 52.9 | 123 17.3 S13 04.9 | 148 56.0 S 4 51.3 | 270 51.4 N21 44.1 | 200 23.5 N14 51.7
18 | 359 55.3 | 138 17.5 S13 05.4 | 163 57.2 S 4 51.8 | 285 54.2 N21 44.1 | 215 26.0 N14 51.7
19 | 14 57.8 | 153 17.8 S13 05.9 | 178 58.4 S 4 52.3 | 300 57.0 N21 44.1 | 230 28.5 N14 51.7
20 | 30 00.2 | 168 18.1 S13 06.4 | 193 59.7 S 4 52.8 | 315 59.8 N21 44.0 | 245 31.1 N14 51.8
21 | 45 02.7 | 183 18.3 S13 06.9 | 209 00.9 S 4 53.3 | 331 02.6 N21 44.0 | 260 33.6 N14 51.8
22 | 60 05.2 | 198 18.6 S13 07.4 | 224 02.1 S 4 53.8 | 346 05.4 N21 44.0 | 275 36.2 N14 51.8
23 | 75 07.6 | 213 18.9 S13 07.9 | 239 03.3 S 4 54.3 | 1 08.2 N21 43.9 | 290 38.7 N14 51.9
------+----------+-------------------+-------------------+-------------------+--------------------
| v 0.3 d 0.5 | v 1.2 d 0.5 | v 2.8 d 0.0 | v 2.5 d 0.0
2771 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 13.4 S23 17.4 | 297 02.7 10.8 N10 40.0 15.0 59.2 | Acamar 308 03.1 S37 14.8
1 | 196 13.2 S23 17.4 | 311 32.6 10.9 N10 24.9 15.0 59.2 | Achernar 328 20.1 S53 20.7
2 | 211 12.9 S23 17.5 | 326 02.5 10.9 N10 09.9 15.1 59.2 | Acrux 162 28.0 S67 21.2
3 | 226 12.6 S23 17.6 | 340 32.5 11.0 N 9 54.7 15.1 59.2 | Adhara 247 41.5 S30 02.9
4 | 241 12.3 S23 17.7 | 355 02.5 11.0 N 9 39.5 15.2 59.2 | Albireo 59 29.0 N29 36.3
S 5 | 256 12.0 S23 17.7 | 9 32.6 11.1 N 9 24.3 15.2 59.2 |
U | | | Aldebaran 279 52.6 N18 00.8
N 6 | 271 11.7 S23 17.8 | 24 02.7 11.1 N 9 09.0 15.3 59.2 | Alioth 157 59.1 N51 47.2
D 7 | 286 11.4 S23 17.8 | 38 32.9 11.2 N 8 53.7 15.3 59.2 | Alkaid 145 28.1 N45 28.9
A 8 | 301 11.1 S23 17.9 | 53 03.1 11.2 N 8 38.3 15.4 59.2 | Al Na-ir 15 48.1 S43 13.0
Y 9 | 316 10.8 S23 18.0 | 67 33.3 11.3 N 8 22.8 15.4 59.2 | Alnilam 266 05.4 S 0 45.0
10 | 331 10.5 S23 18.0 | 82 03.6 11.3 N 8 07.4 15.5 59.2 |
11 | 346 10.2 S23 18.1 | 96 34.0 11.3 N 7 51.8 15.5 59.2 | Alphard 208 33.8 S12 01.1
| | | Alphecca 118 06.1 N24 09.0
12 | 1 09.9 S23 18.2 | 111 04.3 11.4 N 7 36.3 15.6 59.2 | Alpheratz 347 50.8 N33 20.5
13 | 16 09.6 S23 18.2 | 125 34.7 11.4 N 7 20.7 15.6 59.2 | Altair 52 50.6 N10 56.2
14 | 31 09.3 S23 18.3 | 140 05.2 11.5 N 7 05.1 15.6 59.2 | Ankaa 343 52.0 S38 08.2
15 | 46 09.0 S23 18.3 | 154 35.7 11.5 N 6 49.4 15.7 59.2 |
16 | 61 08.7 S23 18.4 | 169 06.2 11.5 N 6 33.7 15.7 59.2 | Antares 100 45.2 S28 05.7
17 | 76 08.4 S23 18.5 | 183 36.8 11.6 N 6 17.9 15.7 59.2 | Arcturus 137 13.6 N15 11.5
| | | Atria 87 16.6 S70 21.6
18 | 91 08.1 S23 18.5 | 198 07.4 11.6 N 6 02.2 15.8 59.2 | Avior 230 20.8 S61 59.8
19 | 106 07.8 S23 18.6 | 212 38.0 11.6 N 5 46.4 15.8 59.2 | Bellatrix 268 18.2 N 7 00.2
20 | 121 07.5 S23 18.6 | 227 08.6 11.7 N 5 30.5 15.8 59.2 |
21 | 136 07.2 S23 18.7 | 241 39.3 11.7 N 5 14.7 15.9 59.2 | Betelgeuse 260 41.9 N 7 30.5
22 | 151 06.9 S23 18.7 | 256 10.0 11.7 N 4 58.8 15.9 59.3 | Canopus 259 38.7 S53 08.0
23 | 166 06.6 S23 18.8 | 270 40.7 11.7 N 4 42.9 15.9 59.3 | Capella 266 30.0 N46 43.4
------+-------------------+----------------------------------| Castor 234 00.1 N30 09.3
20 0 | 181 06.3 S23 18.8 | 285 11.5 11.8 N 4 26.9 15.9 59.3 | Deneb 43 00.4 N48 03.2
1 | 196 06.0 S23 18.9 | 299 42.3 11.8 N 4 11.0 16.0 59.3 |
2 | 211 05.8 S23 18.9 | 314 13.1 11.8 N 3 55.0 16.0 59.3 | Denebola 172 51.0 N10 16.0
3 | 226 05.5 S23 19.0 | 328 43.9 11.8 N 3 39.0 16.0 59.3 | Diphda 339 22.2 S13 46.3
4 | 241 05.2 S23 19.0 | 343 14.8 11.8 N 3 23.0 16.0 59.3 | Dubhe 182 13.3 N57 34.6
M 5 | 256 04.9 S23 19.1 | 357 45.6 11.9 N 3 06.9 16.0 59.2 | Elnath 266 09.9 N29 12.4
O | | | Eltanin 86 18.3 N51 24.9
N 6 | 271 04.6 S23 19.1 | 12 16.5 11.9 N 2 50.9 16.0 59.2 |
D 7 | 286 04.3 S23 19.2 | 26 47.4 11.9 N 2 34.8 16.1 59.2 | Enif 24 25.5 N13 25.6
A 8 | 301 04.0 S23 19.2 | 41 18.3 11.9 N 2 18.8 16.1 59.2 | Fomalhaut 4 54.4 S25 32.1
Y 9 | 316 03.7 S23 19.3 | 55 49.3 11.9 N 2 02.7 16.1 59.2 | Gacrux 161 22.6 S61 24.7
10 | 331 03.4 S23 19.3 | 70 20.2 11.9 N 1 46.6 16.1 59.2 | Gienah 166 03.3 S21 48.6
11 | 346 03.1 S23 19.3 | 84 51.2 12.0 N 1 30.5 16.1 59.2 | Hadar 135 16.1 S64 03.2
| | |
12 | 1 02.8 S23 19.4 | 99 22.1 12.0 N 1 14.4 16.1 59.2 | Hamal 317 14.6 N27 04.8
13 | 16 02.5 S23 19.4 | 113 53.1 12.0 N 0 58.3 16.1 59.2 | Kaus Austr. 71 07.0 S33 58.3
14 | 31 02.2 S23 19.5 | 128 24.1 12.0 N 0 42.1 16.1 59.2 | Kochab 137 40.0 N71 00.1
15 | 46 01.9 S23 19.5 | 142 55.1 12.0 N 0 26.0 16.1 59.2 | Markab 4 08.2 N19 21.4
16 | 61 01.6 S23 19.5 | 157 26.0 12.0 N 0 09.9 16.1 59.2 | Menkar 304 16.2 N 7 04.7
17 | 76 01.3 S23 19.6 | 171 57.0 12.0 S 0 06.2 16.1 59.2 |
| | | Menkent 136 52.9 S40 07.9
18 | 91 01.0 S23 19.6 | 186 28.0 12.0 S 0 22.3 16.1 59.2 | Miaplacidus 219 33.0 S72 53.3
19 | 106 00.7 S23 19.7 | 200 59.0 12.0 S 0 38.5 16.1 59.2 | Mirfak 295 01.3 N52 33.5
20 | 121 00.4 S23 19.7 | 215 30.0 12.0 S 0 54.6 16.1 59.2 | Nunki 64 11.3 S25 17.7
21 | 136 00.1 S23 19.7 | 230 01.0 12.0 S 1 10.7 16.1 59.2 | Peacock 38 22.8 S54 13.4
22 | 150 59.8 S23 19.8 | 244 32.0 12.0 S 1 26.8 16.1 59.2 |
23 | 165 59.5 S23 19.8 | 259 03.0 12.0 S 1 42.9 16.1 59.2 | Polaris 127 30.1 N92 43.1
------+-------------------+----------------------------------| Pollux 231 49.8 N26 07.3
21 0 | 180 59.2 S23 19.8 | 273 34.0 12.0 S 1 58.9 16.1 59.2 | Procyon 235 01.5 N 3 12.8
1 | 195 58.9 S23 19.9 | 288 05.0 12.0 S 2 15.0 16.1 59.2 | Rasalhague 87 15.4 N12 02.2
2 | 210 58.6 S23 19.9 | 302 35.9 12.0 S 2 31.1 16.1 59.2 | Regulus 197 35.5 N 8 11.1
3 | 225 58.3 S23 19.9 | 317 06.9 12.0 S 2 47.1 16.0 59.2 |
4 | 240 58.0 S23 19.9 | 331 37.8 11.9 S 3 03.1 16.0 59.2 | Rigel 272 01.5 S 7 21.0
T 5 | 255 57.7 S23 20.0 | 346 08.8 11.9 S 3 19.1 16.0 59.2 | Rigil Kent 126 51.3 S63 58.5
U | | | Sabik 91 17.2 S16 38.0
E 6 | 270 57.4 S23 20.0 | 0 39.7 11.9 S 3 35.1 16.0 59.2 | Schedar 338 47.0 N60 45.3
S 7 | 285 57.1 S23 20.0 | 15 10.6 11.9 S 3 51.1 16.0 59.2 | Shaula 83 26.8 S37 36.7
D 8 | 300 56.8 S23 20.1 | 29 41.5 11.9 S 4 07.0 15.9 59.2 |
A 9 | 315 56.5 S23 20.1 | 44 12.4 11.9 S 4 22.9 15.9 59.2 | Sirius 250 09.1 S17 48.4
Y 10 | 330 56.2 S23 20.1 | 58 43.2 11.9 S 4 38.8 15.9 59.2 | Spica 148 28.1 S15 09.7
11 | 345 55.9 S23 20.1 | 73 14.1 11.8 S 4 54.7 15.9 59.2 | Suhail 215 49.7 S46 33.4
| | | Vega 74 10.6 N39 31.6
12 | 0 55.6 S23 20.1 | 87 44.9 11.8 S 5 10.6 15.8 59.2 | Zuben-ubi 126 51.4 S19 12.6
13 | 15 55.3 S23 20.2 | 102 15.7 11.8 S 5 26.4 15.8 59.2 |
14 | 30 55.0 S23 20.2 | 116 46.4 11.8 S 5 42.2 15.8 59.2 |
15 | 45 54.7 S23 20.2 | 131 17.2 11.7 S 5 57.9 15.8 59.2 |
16 | 60 54.4 S23 20.2 | 145 47.9 11.7 S 6 13.6 15.7 59.1 |
17 | 75 54.1 S23 20.2 | 160 18.6 11.7 S 6 29.3 15.7 59.1 |
| | |
18 | 90 53.8 S23 20.3 | 174 49.3 11.7 S 6 45.0 15.7 59.1 |
19 | 105 53.5 S23 20.3 | 189 19.9 11.6 S 7 00.6 15.6 59.1 |
20 | 120 53.2 S23 20.3 | 203 50.5 11.6 S 7 16.2 15.6 59.1 |
21 | 135 52.9 S23 20.3 | 218 21.1 11.6 S 7 31.7 15.5 59.1 |
22 | 150 52.6 S23 20.3 | 232 51.6 11.5 S 7 47.2 15.5 59.1 |
23 | 165 52.3 S23 20.3 | 247 22.1 11.5 S 8 02.7 15.5 59.1 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 16.1 16.1 16.1 |