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2457 DEC. 20, 21, 22 (THU, FRI, SAT)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 89 12.9 | 150 28.6 S22 27.4 | 244 24.5 S 8 46.9 | 193 25.0 S22 11.3 | 192 48.4 S21 17.6
1 | 104 15.4 | 165 27.8 S22 26.9 | 259 25.6 S 8 47.4 | 208 26.9 S22 11.3 | 207 50.6 S21 17.6
2 | 119 17.8 | 180 27.0 S22 26.3 | 274 26.7 S 8 47.9 | 223 28.7 S22 11.4 | 222 52.7 S21 17.6
3 | 134 20.3 | 195 26.1 S22 25.8 | 289 27.8 S 8 48.4 | 238 30.6 S22 11.5 | 237 54.9 S21 17.7
4 | 149 22.8 | 210 25.3 S22 25.2 | 304 28.9 S 8 49.0 | 253 32.5 S22 11.5 | 252 57.1 S21 17.7
T 5 | 164 25.2 | 225 24.4 S22 24.7 | 319 30.0 S 8 49.5 | 268 34.3 S22 11.6 | 267 59.2 S21 17.7
H
U 6 | 179 27.7 | 240 23.6 S22 24.1 | 334 31.1 S 8 50.0 | 283 36.2 S22 11.6 | 283 01.4 S21 17.7
R 7 | 194 30.2 | 255 22.8 S22 23.6 | 349 32.2 S 8 50.5 | 298 38.1 S22 11.7 | 298 03.5 S21 17.8
S 8 | 209 32.6 | 270 21.9 S22 23.0 | 4 33.3 S 8 51.0 | 313 39.9 S22 11.7 | 313 05.7 S21 17.8
D 9 | 224 35.1 | 285 21.1 S22 22.4 | 19 34.4 S 8 51.6 | 328 41.8 S22 11.8 | 328 07.8 S21 17.8
A 10 | 239 37.6 | 300 20.3 S22 21.9 | 34 35.5 S 8 52.1 | 343 43.7 S22 11.8 | 343 10.0 S21 17.9
Y 11 | 254 40.0 | 315 19.4 S22 21.3 | 49 36.6 S 8 52.6 | 358 45.5 S22 11.9 | 358 12.1 S21 17.9
12 | 269 42.5 | 330 18.6 S22 20.8 | 64 37.7 S 8 53.1 | 13 47.4 S22 12.0 | 13 14.3 S21 17.9
13 | 284 45.0 | 345 17.8 S22 20.2 | 79 38.7 S 8 53.6 | 28 49.3 S22 12.0 | 28 16.4 S21 17.9
14 | 299 47.4 | 0 16.9 S22 19.6 | 94 39.8 S 8 54.2 | 43 51.1 S22 12.1 | 43 18.6 S21 18.0
15 | 314 49.9 | 15 16.1 S22 19.1 | 109 40.9 S 8 54.7 | 58 53.0 S22 12.1 | 58 20.7 S21 18.0
16 | 329 52.3 | 30 15.3 S22 18.5 | 124 42.0 S 8 55.2 | 73 54.9 S22 12.2 | 73 22.9 S21 18.0
17 | 344 54.8 | 45 14.5 S22 17.9 | 139 43.1 S 8 55.7 | 88 56.7 S22 12.2 | 88 25.0 S21 18.1
18 | 359 57.3 | 60 13.6 S22 17.4 | 154 44.2 S 8 56.2 | 103 58.6 S22 12.3 | 103 27.2 S21 18.1
19 | 14 59.7 | 75 12.8 S22 16.8 | 169 45.3 S 8 56.8 | 119 00.5 S22 12.3 | 118 29.3 S21 18.1
20 | 30 02.2 | 90 12.0 S22 16.2 | 184 46.4 S 8 57.3 | 134 02.4 S22 12.4 | 133 31.5 S21 18.1
21 | 45 04.7 | 105 11.1 S22 15.7 | 199 47.5 S 8 57.8 | 149 04.2 S22 12.5 | 148 33.6 S21 18.2
22 | 60 07.1 | 120 10.3 S22 15.1 | 214 48.6 S 8 58.3 | 164 06.1 S22 12.5 | 163 35.8 S21 18.2
23 | 75 09.6 | 135 09.5 S22 14.5 | 229 49.7 S 8 58.8 | 179 08.0 S22 12.6 | 178 37.9 S21 18.2
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 12.1 | 150 08.7 S22 13.9 | 244 50.8 S 8 59.4 | 194 09.8 S22 12.6 | 193 40.1 S21 18.3
1 | 105 14.5 | 165 07.8 S22 13.4 | 259 51.9 S 8 59.9 | 209 11.7 S22 12.7 | 208 42.2 S21 18.3
2 | 120 17.0 | 180 07.0 S22 12.8 | 274 53.0 S 9 00.4 | 224 13.6 S22 12.7 | 223 44.4 S21 18.3
3 | 135 19.5 | 195 06.2 S22 12.2 | 289 54.1 S 9 00.9 | 239 15.4 S22 12.8 | 238 46.5 S21 18.3
4 | 150 21.9 | 210 05.4 S22 11.6 | 304 55.2 S 9 01.4 | 254 17.3 S22 12.8 | 253 48.7 S21 18.4
F 5 | 165 24.4 | 225 04.5 S22 11.1 | 319 56.3 S 9 01.9 | 269 19.2 S22 12.9 | 268 50.9 S21 18.4
R
I 6 | 180 26.8 | 240 03.7 S22 10.5 | 334 57.4 S 9 02.5 | 284 21.0 S22 13.0 | 283 53.0 S21 18.4
D 7 | 195 29.3 | 255 02.9 S22 09.9 | 349 58.5 S 9 03.0 | 299 22.9 S22 13.0 | 298 55.2 S21 18.4
A 8 | 210 31.8 | 270 02.1 S22 09.3 | 4 59.6 S 9 03.5 | 314 24.8 S22 13.1 | 313 57.3 S21 18.5
Y 9 | 225 34.2 | 285 01.3 S22 08.7 | 20 00.7 S 9 04.0 | 329 26.6 S22 13.1 | 328 59.5 S21 18.5
10 | 240 36.7 | 300 00.4 S22 08.1 | 35 01.8 S 9 04.5 | 344 28.5 S22 13.2 | 344 01.6 S21 18.5
11 | 255 39.2 | 314 59.6 S22 07.5 | 50 02.9 S 9 05.0 | 359 30.4 S22 13.2 | 359 03.8 S21 18.6
12 | 270 41.6 | 329 58.8 S22 07.0 | 65 04.0 S 9 05.6 | 14 32.2 S22 13.3 | 14 05.9 S21 18.6
13 | 285 44.1 | 344 58.0 S22 06.4 | 80 05.1 S 9 06.1 | 29 34.1 S22 13.3 | 29 08.1 S21 18.6
14 | 300 46.6 | 359 57.2 S22 05.8 | 95 06.2 S 9 06.6 | 44 36.0 S22 13.4 | 44 10.2 S21 18.6
15 | 315 49.0 | 14 56.3 S22 05.2 | 110 07.3 S 9 07.1 | 59 37.9 S22 13.5 | 59 12.4 S21 18.7
16 | 330 51.5 | 29 55.5 S22 04.6 | 125 08.4 S 9 07.6 | 74 39.7 S22 13.5 | 74 14.5 S21 18.7
17 | 345 53.9 | 44 54.7 S22 04.0 | 140 09.5 S 9 08.1 | 89 41.6 S22 13.6 | 89 16.7 S21 18.7
18 | 0 56.4 | 59 53.9 S22 03.4 | 155 10.6 S 9 08.7 | 104 43.5 S22 13.6 | 104 18.8 S21 18.8
19 | 15 58.9 | 74 53.1 S22 02.8 | 170 11.7 S 9 09.2 | 119 45.3 S22 13.7 | 119 21.0 S21 18.8
20 | 31 01.3 | 89 52.3 S22 02.2 | 185 12.8 S 9 09.7 | 134 47.2 S22 13.7 | 134 23.1 S21 18.8
21 | 46 03.8 | 104 51.4 S22 01.6 | 200 13.9 S 9 10.2 | 149 49.1 S22 13.8 | 149 25.3 S21 18.8
22 | 61 06.3 | 119 50.6 S22 01.0 | 215 15.0 S 9 10.7 | 164 50.9 S22 13.8 | 164 27.4 S21 18.9
23 | 76 08.7 | 134 49.8 S22 00.4 | 230 16.1 S 9 11.2 | 179 52.8 S22 13.9 | 179 29.6 S21 18.9
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 91 11.2 | 149 49.0 S21 59.8 | 245 17.2 S 9 11.8 | 194 54.7 S22 13.9 | 194 31.8 S21 18.9
1 | 106 13.7 | 164 48.2 S21 59.2 | 260 18.3 S 9 12.3 | 209 56.5 S22 14.0 | 209 33.9 S21 18.9
2 | 121 16.1 | 179 47.4 S21 58.6 | 275 19.4 S 9 12.8 | 224 58.4 S22 14.1 | 224 36.1 S21 19.0
3 | 136 18.6 | 194 46.6 S21 58.0 | 290 20.5 S 9 13.3 | 240 00.3 S22 14.1 | 239 38.2 S21 19.0
4 | 151 21.1 | 209 45.7 S21 57.4 | 305 21.6 S 9 13.8 | 255 02.1 S22 14.2 | 254 40.4 S21 19.0
S 5 | 166 23.5 | 224 44.9 S21 56.8 | 320 22.7 S 9 14.3 | 270 04.0 S22 14.2 | 269 42.5 S21 19.1
A
T 6 | 181 26.0 | 239 44.1 S21 56.2 | 335 23.8 S 9 14.9 | 285 05.9 S22 14.3 | 284 44.7 S21 19.1
U 7 | 196 28.4 | 254 43.3 S21 55.6 | 350 24.9 S 9 15.4 | 300 07.8 S22 14.3 | 299 46.8 S21 19.1
R 8 | 211 30.9 | 269 42.5 S21 55.0 | 5 26.0 S 9 15.9 | 315 09.6 S22 14.4 | 314 49.0 S21 19.1
D 9 | 226 33.4 | 284 41.7 S21 54.3 | 20 27.1 S 9 16.4 | 330 11.5 S22 14.4 | 329 51.1 S21 19.2
A 10 | 241 35.8 | 299 40.9 S21 53.7 | 35 28.2 S 9 16.9 | 345 13.4 S22 14.5 | 344 53.3 S21 19.2
Y 11 | 256 38.3 | 314 40.1 S21 53.1 | 50 29.3 S 9 17.4 | 0 15.2 S22 14.5 | 359 55.4 S21 19.2
12 | 271 40.8 | 329 39.3 S21 52.5 | 65 30.4 S 9 17.9 | 15 17.1 S22 14.6 | 14 57.6 S21 19.2
13 | 286 43.2 | 344 38.5 S21 51.9 | 80 31.5 S 9 18.5 | 30 19.0 S22 14.7 | 29 59.7 S21 19.3
14 | 301 45.7 | 359 37.7 S21 51.3 | 95 32.6 S 9 19.0 | 45 20.8 S22 14.7 | 45 01.9 S21 19.3
15 | 316 48.2 | 14 36.8 S21 50.7 | 110 33.7 S 9 19.5 | 60 22.7 S22 14.8 | 60 04.1 S21 19.3
16 | 331 50.6 | 29 36.0 S21 50.0 | 125 34.8 S 9 20.0 | 75 24.6 S22 14.8 | 75 06.2 S21 19.4
17 | 346 53.1 | 44 35.2 S21 49.4 | 140 35.9 S 9 20.5 | 90 26.5 S22 14.9 | 90 08.4 S21 19.4
18 | 1 55.6 | 59 34.4 S21 48.8 | 155 37.0 S 9 21.0 | 105 28.3 S22 14.9 | 105 10.5 S21 19.4
19 | 16 58.0 | 74 33.6 S21 48.2 | 170 38.1 S 9 21.5 | 120 30.2 S22 15.0 | 120 12.7 S21 19.4
20 | 32 00.5 | 89 32.8 S21 47.5 | 185 39.2 S 9 22.0 | 135 32.1 S22 15.0 | 135 14.8 S21 19.5
21 | 47 02.9 | 104 32.0 S21 46.9 | 200 40.3 S 9 22.6 | 150 33.9 S22 15.1 | 150 17.0 S21 19.5
22 | 62 05.4 | 119 31.2 S21 46.3 | 215 41.4 S 9 23.1 | 165 35.8 S22 15.1 | 165 19.1 S21 19.5
23 | 77 07.9 | 134 30.4 S21 45.7 | 230 42.4 S 9 23.6 | 180 37.7 S22 15.2 | 180 21.3 S21 19.5
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.8 d 0.6 | v 1.1 d 0.5 | v 1.9 d 0.1 | v 2.2 d 0.0
2457 DEC. 20, 21, 22 (THU, FRI, SAT)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 49.7 S23 22.3 | 143 15.9 8.7 S16 01.7 10.6 58.8 | Acamar 311 03.8 S38 29.3
1 | 195 49.4 S23 22.3 | 157 43.7 8.8 S15 51.0 10.7 58.8 | Achernar 331 17.4 S54 55.5
2 | 210 49.1 S23 22.3 | 172 11.6 8.8 S15 40.2 10.8 58.8 | Acrux 166 53.9 S65 37.5
3 | 225 48.8 S23 22.3 | 186 39.5 8.9 S15 29.3 10.9 58.8 | Adhara 250 48.7 S29 36.8
4 | 240 48.5 S23 22.4 | 201 07.4 8.9 S15 18.3 11.0 58.8 | Albireo 62 41.0 N28 56.4
T 5 | 255 48.2 S23 22.4 | 215 35.4 9.0 S15 07.2 11.1 58.9 |
H | | | Aldebaran 284 24.8 N17 24.2
U 6 | 270 47.8 S23 22.4 | 230 03.4 9.0 S14 56.0 11.2 58.9 | Alioth 161 27.5 N53 28.7
R 7 | 285 47.5 S23 22.4 | 244 31.5 9.1 S14 44.7 11.3 58.9 | Alkaid 148 35.5 N47 02.1
S 8 | 300 47.2 S23 22.5 | 258 59.6 9.1 S14 33.4 11.4 58.9 | Al Na-ir 20 44.9 S44 44.2
D 9 | 315 46.9 S23 22.5 | 273 27.8 9.2 S14 22.0 11.4 58.9 | Alnilam 270 06.3 S 0 56.1
A 10 | 330 46.6 S23 22.5 | 287 56.0 9.2 S14 10.4 11.5 58.9 |
Y 11 | 345 46.3 S23 22.5 | 302 24.3 9.3 S13 58.8 11.6 58.9 | Alphard 212 27.1 S10 39.4
| | | Alphecca 121 27.6 N25 11.4
12 | 0 46.0 S23 22.5 | 316 52.6 9.3 S13 47.1 11.7 58.9 | Alpheratz 351 56.7 N31 37.1
13 | 15 45.7 S23 22.6 | 331 21.0 9.4 S13 35.4 11.8 58.9 | Altair 56 42.2 N10 05.9
14 | 30 45.4 S23 22.6 | 345 49.4 9.4 S13 23.5 11.9 59.0 | Ankaa 347 46.0 S39 49.8
15 | 45 45.1 S23 22.6 | 0 17.8 9.5 S13 11.6 11.9 59.0 |
16 | 60 44.8 S23 22.6 | 14 46.3 9.5 S12 59.6 12.0 59.0 | Antares 105 36.0 S27 25.1
17 | 75 44.5 S23 22.6 | 29 14.9 9.6 S12 47.5 12.1 59.0 | Arcturus 140 50.5 N16 48.7
| | | Atria 95 38.5 S69 49.1
18 | 90 44.2 S23 22.6 | 43 43.5 9.6 S12 35.3 12.2 59.0 | Avior 231 59.6 S60 59.3
19 | 105 43.9 S23 22.7 | 58 12.1 9.6 S12 23.1 12.2 59.0 | Bellatrix 272 32.7 N 6 44.2
20 | 120 43.6 S23 22.7 | 72 40.8 9.7 S12 10.8 12.3 59.0 |
21 | 135 43.3 S23 22.7 | 87 09.6 9.7 S11 58.4 12.4 59.0 | Betelgeuse 264 58.7 N 7 27.9
22 | 150 43.0 S23 22.7 | 101 38.4 9.8 S11 46.0 12.4 59.0 | Canopus 261 25.9 S52 57.4
23 | 165 42.7 S23 22.7 | 116 07.2 9.8 S11 33.4 12.5 59.0 | Capella 272 19.7 N46 25.7
------+-------------------+----------------------------------| Castor 239 01.7 N30 51.4
21 0 | 180 42.4 S23 22.7 | 130 36.0 9.9 S11 20.9 12.6 59.0 | Deneb 45 43.1 N46 55.8
1 | 195 42.0 S23 22.7 | 145 04.9 9.9 S11 08.2 12.6 59.1 |
2 | 210 41.7 S23 22.7 | 159 33.9 10.0 S10 55.5 12.7 59.1 | Denebola 176 52.7 N12 00.7
3 | 225 41.4 S23 22.7 | 174 02.9 10.0 S10 42.7 12.8 59.1 | Diphda 343 20.3 S15 29.0
4 | 240 41.1 S23 22.7 | 188 31.9 10.0 S10 29.9 12.8 59.1 | Dubhe 187 02.9 N59 16.1
F 5 | 255 40.8 S23 22.7 | 203 01.0 10.1 S10 17.0 12.9 59.1 | Elnath 271 09.4 N28 57.7
R | | | Eltanin 88 10.3 N51 26.8
I 6 | 270 40.5 S23 22.8 | 217 30.1 10.1 S10 04.0 13.0 59.1 |
D 7 | 285 40.2 S23 22.8 | 231 59.3 10.2 S 9 51.0 13.0 59.1 | Enif 28 18.7 N11 59.2
A 8 | 300 39.9 S23 22.8 | 246 28.4 10.2 S 9 37.9 13.1 59.1 | Fomalhaut 9 15.6 S27 11.6
Y 9 | 315 39.6 S23 22.8 | 260 57.7 10.2 S 9 24.8 13.1 59.1 | Gacrux 165 47.3 S59 39.9
10 | 330 39.3 S23 22.8 | 275 26.9 10.3 S 9 11.6 13.2 59.1 | Gienah 170 07.7 S20 04.7
11 | 345 39.0 S23 22.8 | 289 56.2 10.3 S 8 58.4 13.2 59.1 | Hadar 140 52.6 S62 33.5
| | |
12 | 0 38.7 S23 22.8 | 304 25.6 10.3 S 8 45.1 13.3 59.1 | Hamal 321 42.5 N25 36.8
13 | 15 38.4 S23 22.8 | 318 54.9 10.4 S 8 31.8 13.3 59.1 | Kaus Austr. 76 20.9 S34 08.3
14 | 30 38.1 S23 22.8 | 333 24.4 10.4 S 8 18.4 13.4 59.1 | Kochab 137 33.3 N72 16.8
15 | 45 37.8 S23 22.8 | 347 53.8 10.4 S 8 05.0 13.4 59.2 | Markab 8 04.8 N17 40.4
16 | 60 37.5 S23 22.8 | 2 23.3 10.5 S 7 51.5 13.5 59.2 | Menkar 308 24.6 N 5 51.9
17 | 75 37.2 S23 22.7 | 16 52.8 10.5 S 7 38.0 13.5 59.2 |
| | | Menkent 141 32.7 S38 36.2
18 | 90 36.8 S23 22.7 | 31 22.3 10.5 S 7 24.4 13.6 59.2 | Miaplacidus 220 26.0 S71 36.1
19 | 105 36.5 S23 22.7 | 45 51.9 10.6 S 7 10.8 13.6 59.2 | Mirfak 300 40.5 N51 27.9
20 | 120 36.2 S23 22.7 | 60 21.5 10.6 S 6 57.1 13.6 59.2 | Nunki 69 04.6 S25 42.0
21 | 135 35.9 S23 22.7 | 74 51.1 10.6 S 6 43.5 13.7 59.2 | Peacock 44 34.4 S55 14.5
22 | 150 35.6 S23 22.7 | 89 20.7 10.7 S 6 29.7 13.7 59.2 |
23 | 165 35.3 S23 22.7 | 103 50.4 10.7 S 6 16.0 13.8 59.2 | Polaris 206 31.3 N91 18.6
------+-------------------+----------------------------------| Pollux 236 39.0 N26 53.6
22 0 | 180 35.0 S23 22.7 | 118 20.1 10.7 S 6 02.2 13.8 59.2 | Procyon 239 09.6 N 4 01.7
1 | 195 34.7 S23 22.7 | 132 49.9 10.7 S 5 48.4 13.8 59.2 | Rasalhague 90 56.0 N12 15.0
2 | 210 34.4 S23 22.7 | 147 19.6 10.8 S 5 34.5 13.9 59.2 | Regulus 201 47.7 N 9 43.1
3 | 225 34.1 S23 22.7 | 161 49.4 10.8 S 5 20.6 13.9 59.2 |
4 | 240 33.8 S23 22.6 | 176 19.2 10.8 S 5 06.7 13.9 59.2 | Rigel 275 49.9 S 7 41.8
S 5 | 255 33.5 S23 22.6 | 190 49.0 10.8 S 4 52.7 13.9 59.2 | Rigil Kent 132 14.8 S62 42.0
A | | | Sabik 95 49.1 S16 15.8
T 6 | 270 33.2 S23 22.6 | 205 18.9 10.8 S 4 38.8 14.0 59.2 | Schedar 343 17.9 N59 02.7
U 7 | 285 32.9 S23 22.6 | 219 48.7 10.9 S 4 24.8 14.0 59.2 | Shaula 88 48.2 S37 24.3
R 8 | 300 32.6 S23 22.6 | 234 18.6 10.9 S 4 10.7 14.0 59.2 |
D 9 | 315 32.3 S23 22.6 | 248 48.5 10.9 S 3 56.7 14.0 59.2 | Sirius 253 38.5 S17 21.9
A 10 | 330 31.9 S23 22.5 | 263 18.4 10.9 S 3 42.6 14.1 59.2 | Spica 152 38.4 S13 32.3
Y 11 | 345 31.6 S23 22.5 | 277 48.4 10.9 S 3 28.5 14.1 59.2 | Suhail 218 45.2 S45 17.3
| | | Vega 76 52.3 N39 13.6
12 | 0 31.3 S23 22.5 | 292 18.3 10.9 S 3 14.4 14.1 59.2 | Zuben-ubi 131 06.4 S17 55.4
13 | 15 31.0 S23 22.5 | 306 48.3 11.0 S 3 00.3 14.1 59.2 |
14 | 30 30.7 S23 22.5 | 321 18.2 11.0 S 2 46.2 14.1 59.2 |
15 | 45 30.4 S23 22.4 | 335 48.2 11.0 S 2 32.0 14.2 59.2 |
16 | 60 30.1 S23 22.4 | 350 18.2 11.0 S 2 17.8 14.2 59.2 |
17 | 75 29.8 S23 22.4 | 4 48.3 11.0 S 2 03.6 14.2 59.2 |
| | |
18 | 90 29.5 S23 22.4 | 19 18.3 11.0 S 1 49.4 14.2 59.2 |
19 | 105 29.2 S23 22.3 | 33 48.3 11.0 S 1 35.2 14.2 59.2 |
20 | 120 28.9 S23 22.3 | 48 18.3 11.0 S 1 21.0 14.2 59.2 |
21 | 135 28.6 S23 22.3 | 62 48.4 11.0 S 1 06.8 14.2 59.2 |
22 | 150 28.3 S23 22.3 | 77 18.4 11.1 S 0 52.6 14.2 59.2 |
23 | 165 28.0 S23 22.2 | 91 48.5 11.1 S 0 38.3 14.2 59.2 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 16.1 16.1 16.1 |