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Differential Atmospheric Refraction

The following tables for mean atmospheric conditions at La Silla and Paranal were computed by E. Marchetti (emarchet@eso.org) following indications given in the sharp adc page (replacing 83939.7 by 683939.7 in formula 13). The model is in agreement with the table given in the EMMI page at La Silla, changing the pressure to 815mb (2000m asl equivalent). The IDL code is available.
The effect of differential refraction on spectroscopy have been studied by Cuby et al. for VIMOS.

Differential Atmospheric Refraction at La Silla

Differential atmospheric refraction at La Silla (T=11.5 C, RH=44.2%, P=772.2mbar) as a function of wavelength (horizontal, in Angstrom) and airmass (vertical). The values are in arcseconds with respect to a wavelength of 5000 Angstrom


SecZ 3000 3500 4000 4500 5000 5500 6000 6500 7000 7500 8000 8500 9000 9500 10000

1.00 0.00 0.00 0.00 0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00
1.05 0.64 0.36 0.19 0.08 -0.00 -0.06 -0.10 -0.14 -0.16 -0.18 -0.20 -0.21 -0.23 -0.24 -0.25
1.10 0.92 0.52 0.28 0.11 -0.00 -0.08 -0.15 -0.19 -0.23 -0.26 -0.29 -0.31 -0.32 -0.34 -0.35
1.15 1.14 0.65 0.34 0.14 -0.00 -0.10 -0.18 -0.24 -0.29 -0.32 -0.36 -0.38 -0.40 -0.42 -0.43
1.20 1.33 0.76 0.40 0.16 -0.00 -0.12 -0.21 -0.28 -0.33 -0.38 -0.41 -0.44 -0.47 -0.49 -0.51
1.25 1.51 0.85 0.45 0.19 -0.00 -0.14 -0.24 -0.32 -0.38 -0.43 -0.47 -0.50 -0.53 -0.55 -0.57
1.30 1.67 0.95 0.50 0.21 -0.00 -0.15 -0.26 -0.35 -0.42 -0.47 -0.52 -0.56 -0.59 -0.61 -0.64
1.35 1.82 1.03 0.55 0.23 -0.00 -0.16 -0.29 -0.38 -0.46 -0.52 -0.57 -0.61 -0.64 -0.67 -0.69
1.40 1.97 1.12 0.59 0.24 -0.00 -0.18 -0.31 -0.41 -0.49 -0.56 -0.61 -0.66 -0.69 -0.72 -0.75
1.45 2.11 1.20 0.63 0.26 -0.00 -0.19 -0.33 -0.44 -0.53 -0.60 -0.66 -0.70 -0.74 -0.78 -0.80
1.50 2.25 1.27 0.67 0.28 -0.00 -0.20 -0.35 -0.47 -0.56 -0.64 -0.70 -0.75 -0.79 -0.83 -0.86
1.55 2.38 1.35 0.71 0.29 -0.00 -0.21 -0.38 -0.50 -0.60 -0.68 -0.74 -0.79 -0.84 -0.88 -0.91
1.60 2.51 1.42 0.75 0.31 -0.00 -0.23 -0.40 -0.53 -0.63 -0.71 -0.78 -0.84 -0.88 -0.92 -0.96
1.65 2.64 1.49 0.79 0.33 -0.00 -0.24 -0.42 -0.55 -0.66 -0.75 -0.82 -0.88 -0.93 -0.97 -1.01
1.70 2.76 1.57 0.83 0.34 -0.00 -0.25 -0.44 -0.58 -0.69 -0.79 -0.86 -0.92 -0.97 -1.02 -1.05
1.75 2.88 1.64 0.87 0.36 -0.00 -0.26 -0.46 -0.61 -0.73 -0.82 -0.90 -0.96 -1.02 -1.06 -1.10
1.80 3.01 1.70 0.90 0.37 -0.00 -0.27 -0.47 -0.63 -0.76 -0.86 -0.94 -1.00 -1.06 -1.11 -1.15
1.85 3.13 1.77 0.94 0.39 -0.00 -0.28 -0.49 -0.66 -0.79 -0.89 -0.97 -1.04 -1.10 -1.15 -1.19
1.90 3.24 1.84 0.98 0.40 -0.00 -0.29 -0.51 -0.68 -0.82 -0.92 -1.01 -1.08 -1.14 -1.19 -1.24
1.95 3.36 1.91 1.01 0.42 -0.00 -0.30 -0.53 -0.71 -0.85 -0.96 -1.05 -1.12 -1.18 -1.24 -1.28
2.00 3.48 1.97 1.05 0.43 -0.00 -0.31 -0.55 -0.73 -0.87 -0.99 -1.08 -1.16 -1.23 -1.28 -1.33
2.05 3.59 2.04 1.08 0.44 -0.00 -0.32 -0.57 -0.76 -0.90 -1.02 -1.12 -1.20 -1.27 -1.32 -1.37
2.10 3.71 2.10 1.11 0.46 -0.00 -0.33 -0.59 -0.78 -0.93 -1.05 -1.15 -1.24 -1.31 -1.36 -1.41
2.15 3.82 2.17 1.15 0.47 -0.00 -0.34 -0.60 -0.80 -0.96 -1.09 -1.19 -1.28 -1.35 -1.41 -1.46
2.20 3.94 2.23 1.18 0.49 -0.00 -0.35 -0.62 -0.83 -0.99 -1.12 -1.23 -1.31 -1.39 -1.45 -1.50
2.25 4.05 2.30 1.22 0.50 -0.00 -0.36 -0.64 -0.85 -1.02 -1.15 -1.26 -1.35 -1.43 -1.49 -1.54
2.30 4.16 2.36 1.25 0.51 -0.00 -0.37 -0.66 -0.87 -1.05 -1.18 -1.30 -1.39 -1.47 -1.53 -1.59
2.35 4.27 2.42 1.28 0.53 -0.00 -0.38 -0.67 -0.90 -1.07 -1.21 -1.33 -1.43 -1.50 -1.57 -1.63
2.40 4.38 2.49 1.32 0.54 -0.00 -0.39 -0.69 -0.92 -1.10 -1.25 -1.36 -1.46 -1.54 -1.61 -1.67
2.45 4.49 2.55 1.35 0.56 -0.00 -0.40 -0.71 -0.94 -1.13 -1.28 -1.40 -1.50 -1.58 -1.65 -1.71
2.50 4.60 2.61 1.38 0.57 -0.00 -0.41 -0.73 -0.97 -1.16 -1.31 -1.43 -1.54 -1.62 -1.69 -1.75
2.55 4.71 2.67 1.42 0.58 -0.00 -0.42 -0.74 -0.99 -1.18 -1.34 -1.47 -1.57 -1.66 -1.73 -1.80
2.60 4.82 2.73 1.45 0.60 -0.00 -0.43 -0.76 -1.01 -1.21 -1.37 -1.50 -1.61 -1.70 -1.77 -1.84
2.65 4.93 2.80 1.48 0.61 -0.00 -0.44 -0.78 -1.04 -1.24 -1.40 -1.53 -1.64 -1.74 -1.81 -1.88
2.70 5.04 2.86 1.51 0.62 -0.00 -0.45 -0.80 -1.06 -1.27 -1.43 -1.57 -1.68 -1.77 -1.85 -1.92
2.75 5.14 2.92 1.55 0.64 -0.00 -0.46 -0.81 -1.08 -1.29 -1.46 -1.60 -1.72 -1.81 -1.89 -1.96
2.80 5.25 2.98 1.58 0.65 -0.00 -0.47 -0.83 -1.10 -1.32 -1.49 -1.64 -1.75 -1.85 -1.93 -2.00
2.85 5.36 3.04 1.61 0.66 -0.00 -0.48 -0.85 -1.13 -1.35 -1.52 -1.67 -1.79 -1.89 -1.97 -2.04
2.90 5.47 3.10 1.64 0.68 -0.00 -0.49 -0.86 -1.15 -1.37 -1.56 -1.70 -1.82 -1.93 -2.01 -2.08
2.95 5.57 3.16 1.68 0.69 -0.00 -0.50 -0.88 -1.17 -1.40 -1.59 -1.74 -1.86 -1.96 -2.05 -2.13
3.00 5.68 3.22 1.71 0.70 -0.00 -0.51 -0.90 -1.19 -1.43 -1.62 -1.77 -1.90 -2.00 -2.09 -2.17
3.05 5.79 3.28 1.74 0.72 -0.00 -0.52 -0.91 -1.22 -1.45 -1.65 -1.80 -1.93 -2.04 -2.13 -2.21
3.10 5.89 3.34 1.77 0.73 -0.00 -0.53 -0.93 -1.24 -1.48 -1.68 -1.84 -1.97 -2.08 -2.17 -2.25
3.15 6.00 3.40 1.80 0.74 -0.00 -0.54 -0.95 -1.26 -1.51 -1.71 -1.87 -2.00 -2.11 -2.21 -2.29
3.20 6.10 3.46 1.84 0.76 -0.00 -0.55 -0.96 -1.28 -1.53 -1.74 -1.90 -2.04 -2.15 -2.25 -2.33
3.25 6.21 3.52 1.87 0.77 -0.00 -0.56 -0.98 -1.31 -1.56 -1.77 -1.93 -2.07 -2.19 -2.29 -2.37
3.30 6.32 3.58 1.90 0.78 -0.00 -0.57 -1.00 -1.33 -1.59 -1.80 -1.97 -2.11 -2.22 -2.32 -2.41
3.35 6.42 3.64 1.93 0.79 -0.00 -0.58 -1.01 -1.35 -1.61 -1.83 -2.00 -2.14 -2.26 -2.36 -2.45
3.40 6.53 3.70 1.96 0.81 -0.00 -0.59 -1.03 -1.37 -1.64 -1.86 -2.03 -2.18 -2.30 -2.40 -2.49
3.45 6.63 3.76 1.99 0.82 -0.00 -0.60 -1.05 -1.39 -1.67 -1.89 -2.07 -2.21 -2.34 -2.44 -2.53
3.50 6.74 3.82 2.02 0.83 -0.00 -0.61 -1.06 -1.42 -1.69 -1.92 -2.10 -2.25 -2.37 -2.48 -2.57
3.55 6.84 3.88 2.06 0.85 -0.00 -0.62 -1.08 -1.44 -1.72 -1.95 -2.13 -2.28 -2.41 -2.52 -2.61
3.60 6.95 3.94 2.09 0.86 -0.00 -0.63 -1.10 -1.46 -1.75 -1.98 -2.16 -2.32 -2.45 -2.56 -2.65
3.65 7.05 4.00 2.12 0.87 -0.00 -0.64 -1.11 -1.48 -1.77 -2.01 -2.20 -2.35 -2.48 -2.59 -2.69
3.70 7.15 4.06 2.15 0.89 -0.00 -0.64 -1.13 -1.50 -1.80 -2.04 -2.23 -2.39 -2.52 -2.63 -2.73
3.75 7.26 4.12 2.18 0.90 -0.00 -0.65 -1.15 -1.53 -1.82 -2.06 -2.26 -2.42 -2.56 -2.67 -2.77
3.80 7.36 4.18 2.21 0.91 -0.00 -0.66 -1.16 -1.55 -1.85 -2.09 -2.29 -2.46 -2.59 -2.71 -2.81
3.85 7.47 4.23 2.24 0.92 -0.00 -0.67 -1.18 -1.57 -1.88 -2.12 -2.33 -2.49 -2.63 -2.75 -2.85
3.90 7.57 4.29 2.28 0.94 -0.00 -0.68 -1.20 -1.59 -1.90 -2.15 -2.36 -2.53 -2.67 -2.79 -2.89
3.95 7.67 4.35 2.31 0.95 -0.00 -0.69 -1.21 -1.61 -1.93 -2.18 -2.39 -2.56 -2.70 -2.82 -2.93
4.00 7.78 4.41 2.34 0.96 -0.00 -0.70 -1.23 -1.63 -1.96 -2.21 -2.42 -2.60 -2.74 -2.86 -2.97
4.05 7.88 4.47 2.37 0.98 -0.00 -0.71 -1.24 -1.66 -1.98 -2.24 -2.45 -2.63 -2.78 -2.90 -3.01
4.10 7.99 4.53 2.40 0.99 -0.00 -0.72 -1.26 -1.68 -2.01 -2.27 -2.49 -2.66 -2.81 -2.94 -3.05
4.15 8.09 4.59 2.43 1.00 -0.00 -0.73 -1.28 -1.70 -2.03 -2.30 -2.52 -2.70 -2.85 -2.98 -3.08
4.20 8.19 4.65 2.46 1.01 -0.00 -0.74 -1.29 -1.72 -2.06 -2.33 -2.55 -2.73 -2.89 -3.01 -3.12
4.25 8.30 4.71 2.49 1.03 -0.00 -0.75 -1.31 -1.74 -2.09 -2.36 -2.58 -2.77 -2.92 -3.05 -3.16
4.30 8.40 4.76 2.52 1.04 -0.00 -0.76 -1.33 -1.77 -2.11 -2.39 -2.62 -2.80 -2.96 -3.09 -3.20
4.35 8.50 4.82 2.56 1.05 -0.00 -0.77 -1.34 -1.79 -2.14 -2.42 -2.65 -2.84 -2.99 -3.13 -3.24
4.40 8.61 4.88 2.59 1.06 -0.00 -0.78 -1.36 -1.81 -2.16 -2.45 -2.68 -2.87 -3.03 -3.17 -3.28
4.45 8.71 4.94 2.62 1.08 -0.00 -0.78 -1.38 -1.83 -2.19 -2.48 -2.71 -2.91 -3.07 -3.20 -3.32
4.50 8.81 5.00 2.65 1.09 -0.00 -0.79 -1.39 -1.85 -2.22 -2.51 -2.74 -2.94 -3.10 -3.24 -3.36
4.55 8.91 5.06 2.68 1.10 -0.00 -0.80 -1.41 -1.87 -2.24 -2.54 -2.78 -2.97 -3.14 -3.28 -3.40
4.60 9.02 5.11 2.71 1.12 -0.00 -0.81 -1.42 -1.90 -2.27 -2.57 -2.81 -3.01 -3.18 -3.32 -3.44
4.65 9.12 5.17 2.74 1.13 -0.00 -0.82 -1.44 -1.92 -2.29 -2.59 -2.84 -3.04 -3.21 -3.36 -3.48
4.70 9.22 5.23 2.77 1.14 -0.00 -0.83 -1.46 -1.94 -2.32 -2.62 -2.87 -3.08 -3.25 -3.39 -3.52
4.75 9.33 5.29 2.80 1.15 -0.00 -0.84 -1.47 -1.96 -2.34 -2.65 -2.90 -3.11 -3.29 -3.43 -3.56
4.80 9.43 5.35 2.83 1.17 -0.00 -0.85 -1.49 -1.98 -2.37 -2.68 -2.94 -3.15 -3.32 -3.47 -3.60
4.85 9.53 5.41 2.87 1.18 -0.00 -0.86 -1.51 -2.00 -2.40 -2.71 -2.97 -3.18 -3.36 -3.51 -3.63
4.90 9.63 5.46 2.90 1.19 -0.00 -0.87 -1.52 -2.02 -2.42 -2.74 -3.00 -3.21 -3.39 -3.54 -3.67

Differential Atmospheric Refraction at Paranal

Differential atmospheric refraction at Paranal (T=11.5 C, RH=14.5%, P=743.0 mbar) as a function of wavelength (horizontal, in Angstrom) and airmass (vertical). The values are in arcseconds with respect to a wavelength of 5000 Angstrom

SecZ 3000 3500 4000 4500 5000 5500 6000 6500 7000 7500 8000 8500 9000 9500 10000

1.00 0.00 0.00 0.00 0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00 -0.00
1.05 0.62 0.35 0.19 0.08 -0.00 -0.06 -0.10 -0.13 -0.16 -0.18 -0.19 -0.21 -0.22 -0.23 -0.24
1.10 0.88 0.50 0.27 0.11 -0.00 -0.08 -0.14 -0.19 -0.22 -0.25 -0.28 -0.30 -0.31 -0.33 -0.34
1.15 1.10 0.62 0.33 0.14 -0.00 -0.10 -0.17 -0.23 -0.28 -0.31 -0.34 -0.37 -0.39 -0.40 -0.42
1.20 1.28 0.73 0.38 0.16 -0.00 -0.12 -0.20 -0.27 -0.32 -0.36 -0.40 -0.43 -0.45 -0.47 -0.49
1.25 1.45 0.82 0.44 0.18 -0.00 -0.13 -0.23 -0.30 -0.36 -0.41 -0.45 -0.48 -0.51 -0.53 -0.55
1.30 1.60 0.91 0.48 0.20 -0.00 -0.14 -0.25 -0.34 -0.40 -0.46 -0.50 -0.53 -0.56 -0.59 -0.61
1.35 1.75 0.99 0.53 0.22 -0.00 -0.16 -0.28 -0.37 -0.44 -0.50 -0.55 -0.58 -0.62 -0.64 -0.67
1.40 1.89 1.07 0.57 0.23 -0.00 -0.17 -0.30 -0.40 -0.48 -0.54 -0.59 -0.63 -0.67 -0.70 -0.72
1.45 2.03 1.15 0.61 0.25 -0.00 -0.18 -0.32 -0.43 -0.51 -0.58 -0.63 -0.68 -0.71 -0.75 -0.77
1.50 2.16 1.22 0.65 0.27 -0.00 -0.19 -0.34 -0.45 -0.54 -0.61 -0.67 -0.72 -0.76 -0.79 -0.82
1.55 2.29 1.30 0.69 0.28 -0.00 -0.21 -0.36 -0.48 -0.57 -0.65 -0.71 -0.76 -0.81 -0.84 -0.87
1.60 2.41 1.37 0.72 0.30 -0.00 -0.22 -0.38 -0.51 -0.61 -0.69 -0.75 -0.80 -0.85 -0.89 -0.92
1.65 2.53 1.44 0.76 0.31 -0.00 -0.23 -0.40 -0.53 -0.64 -0.72 -0.79 -0.85 -0.89 -0.93 -0.97
1.70 2.65 1.50 0.80 0.33 -0.00 -0.24 -0.42 -0.56 -0.67 -0.75 -0.83 -0.89 -0.93 -0.98 -1.01
1.75 2.77 1.57 0.83 0.34 -0.00 -0.25 -0.44 -0.58 -0.70 -0.79 -0.86 -0.92 -0.98 -1.02 -1.06
1.80 2.89 1.64 0.87 0.36 -0.00 -0.26 -0.46 -0.61 -0.73 -0.82 -0.90 -0.96 -1.02 -1.06 -1.10
1.85 3.00 1.70 0.90 0.37 -0.00 -0.27 -0.47 -0.63 -0.76 -0.85 -0.94 -1.00 -1.06 -1.11 -1.15
1.90 3.12 1.77 0.94 0.39 -0.00 -0.28 -0.49 -0.66 -0.78 -0.89 -0.97 -1.04 -1.10 -1.15 -1.19
1.95 3.23 1.83 0.97 0.40 -0.00 -0.29 -0.51 -0.68 -0.81 -0.92 -1.01 -1.08 -1.14 -1.19 -1.23
2.00 3.34 1.90 1.00 0.41 -0.00 -0.30 -0.53 -0.70 -0.84 -0.95 -1.04 -1.12 -1.18 -1.23 -1.27
2.05 3.45 1.96 1.04 0.43 -0.00 -0.31 -0.55 -0.73 -0.87 -0.98 -1.08 -1.15 -1.22 -1.27 -1.32
2.10 3.56 2.02 1.07 0.44 -0.00 -0.32 -0.56 -0.75 -0.90 -1.01 -1.11 -1.19 -1.26 -1.31 -1.36
2.15 3.67 2.08 1.10 0.45 -0.00 -0.33 -0.58 -0.77 -0.92 -1.04 -1.14 -1.23 -1.29 -1.35 -1.40
2.20 3.78 2.15 1.14 0.47 -0.00 -0.34 -0.60 -0.79 -0.95 -1.08 -1.18 -1.26 -1.33 -1.39 -1.44
2.25 3.89 2.21 1.17 0.48 -0.00 -0.35 -0.61 -0.82 -0.98 -1.11 -1.21 -1.30 -1.37 -1.43 -1.48
2.30 4.00 2.27 1.20 0.49 -0.00 -0.36 -0.63 -0.84 -1.00 -1.14 -1.24 -1.33 -1.41 -1.47 -1.52
2.35 4.10 2.33 1.23 0.51 -0.00 -0.37 -0.65 -0.86 -1.03 -1.17 -1.28 -1.37 -1.45 -1.51 -1.56
2.40 4.21 2.39 1.27 0.52 -0.00 -0.38 -0.66 -0.89 -1.06 -1.20 -1.31 -1.40 -1.48 -1.55 -1.61
2.45 4.32 2.45 1.30 0.53 -0.00 -0.39 -0.68 -0.91 -1.09 -1.23 -1.34 -1.44 -1.52 -1.59 -1.65
2.50 4.42 2.51 1.33 0.55 -0.00 -0.40 -0.70 -0.93 -1.11 -1.26 -1.38 -1.48 -1.56 -1.63 -1.69
2.55 4.53 2.57 1.36 0.56 -0.00 -0.41 -0.71 -0.95 -1.14 -1.29 -1.41 -1.51 -1.59 -1.67 -1.73
2.60 4.63 2.63 1.39 0.57 -0.00 -0.42 -0.73 -0.97 -1.16 -1.32 -1.44 -1.55 -1.63 -1.70 -1.77
2.65 4.74 2.69 1.42 0.59 -0.00 -0.43 -0.75 -1.00 -1.19 -1.35 -1.47 -1.58 -1.67 -1.74 -1.81
2.70 4.84 2.75 1.46 0.60 -0.00 -0.44 -0.76 -1.02 -1.22 -1.38 -1.51 -1.61 -1.70 -1.78 -1.85
2.75 4.94 2.80 1.49 0.61 -0.00 -0.45 -0.78 -1.04 -1.24 -1.41 -1.54 -1.65 -1.74 -1.82 -1.89
2.80 5.05 2.86 1.52 0.62 -0.00 -0.46 -0.80 -1.06 -1.27 -1.44 -1.57 -1.68 -1.78 -1.86 -1.92
2.85 5.15 2.92 1.55 0.64 -0.00 -0.46 -0.81 -1.08 -1.29 -1.47 -1.60 -1.72 -1.81 -1.90 -1.96
2.90 5.25 2.98 1.58 0.65 -0.00 -0.47 -0.83 -1.10 -1.32 -1.49 -1.64 -1.75 -1.85 -1.93 -2.00
2.95 5.36 3.04 1.61 0.66 -0.00 -0.48 -0.85 -1.13 -1.35 -1.52 -1.67 -1.79 -1.89 -1.97 -2.04
3.00 5.46 3.10 1.64 0.68 -0.00 -0.49 -0.86 -1.15 -1.37 -1.55 -1.70 -1.82 -1.92 -2.01 -2.08
3.05 5.56 3.15 1.67 0.69 -0.00 -0.50 -0.88 -1.17 -1.40 -1.58 -1.73 -1.86 -1.96 -2.05 -2.12
3.10 5.66 3.21 1.70 0.70 -0.00 -0.51 -0.89 -1.19 -1.42 -1.61 -1.76 -1.89 -1.99 -2.08 -2.16
3.15 5.76 3.27 1.73 0.71 -0.00 -0.52 -0.91 -1.21 -1.45 -1.64 -1.80 -1.92 -2.03 -2.12 -2.20
3.20 5.87 3.33 1.76 0.73 -0.00 -0.53 -0.93 -1.23 -1.47 -1.67 -1.83 -1.96 -2.07 -2.16 -2.24
3.25 5.97 3.39 1.79 0.74 -0.00 -0.54 -0.94 -1.25 -1.50 -1.70 -1.86 -1.99 -2.10 -2.20 -2.28
3.30 6.07 3.44 1.82 0.75 -0.00 -0.55 -0.96 -1.28 -1.53 -1.73 -1.89 -2.03 -2.14 -2.23 -2.31
3.35 6.17 3.50 1.86 0.76 -0.00 -0.56 -0.97 -1.30 -1.55 -1.76 -1.92 -2.06 -2.17 -2.27 -2.35
3.40 6.27 3.56 1.89 0.78 -0.00 -0.57 -0.99 -1.32 -1.58 -1.78 -1.95 -2.09 -2.21 -2.31 -2.39
3.45 6.37 3.61 1.92 0.79 -0.00 -0.57 -1.01 -1.34 -1.60 -1.81 -1.98 -2.13 -2.24 -2.34 -2.43
3.50 6.47 3.67 1.95 0.80 -0.00 -0.58 -1.02 -1.36 -1.63 -1.84 -2.02 -2.16 -2.28 -2.38 -2.47
3.55 6.57 3.73 1.98 0.81 -0.00 -0.59 -1.04 -1.38 -1.65 -1.87 -2.05 -2.19 -2.32 -2.42 -2.51
3.60 6.67 3.79 2.01 0.83 -0.00 -0.60 -1.05 -1.40 -1.68 -1.90 -2.08 -2.23 -2.35 -2.46 -2.54
3.65 6.77 3.84 2.04 0.84 -0.00 -0.61 -1.07 -1.42 -1.70 -1.93 -2.11 -2.26 -2.39 -2.49 -2.58
3.70 6.87 3.90 2.07 0.85 -0.00 -0.62 -1.09 -1.45 -1.73 -1.96 -2.14 -2.29 -2.42 -2.53 -2.62
3.75 6.97 3.96 2.10 0.86 -0.00 -0.63 -1.10 -1.47 -1.75 -1.98 -2.17 -2.33 -2.46 -2.57 -2.66
3.80 7.07 4.01 2.13 0.88 -0.00 -0.64 -1.12 -1.49 -1.78 -2.01 -2.20 -2.36 -2.49 -2.60 -2.70
3.85 7.17 4.07 2.16 0.89 -0.00 -0.65 -1.13 -1.51 -1.80 -2.04 -2.23 -2.39 -2.53 -2.64 -2.74
3.90 7.27 4.13 2.19 0.90 -0.00 -0.66 -1.15 -1.53 -1.83 -2.07 -2.27 -2.43 -2.56 -2.68 -2.77
3.95 7.37 4.18 2.22 0.91 -0.00 -0.66 -1.16 -1.55 -1.85 -2.10 -2.30 -2.46 -2.60 -2.71 -2.81
4.00 7.47 4.24 2.25 0.93 -0.00 -0.67 -1.18 -1.57 -1.88 -2.13 -2.33 -2.49 -2.63 -2.75 -2.85
4.05 7.57 4.30 2.28 0.94 -0.00 -0.68 -1.20 -1.59 -1.90 -2.15 -2.36 -2.53 -2.67 -2.79 -2.89
4.10 7.67 4.35 2.31 0.95 -0.00 -0.69 -1.21 -1.61 -1.93 -2.18 -2.39 -2.56 -2.70 -2.82 -2.93
4.15 7.77 4.41 2.34 0.96 -0.00 -0.70 -1.23 -1.63 -1.95 -2.21 -2.42 -2.59 -2.74 -2.86 -2.96
4.20 7.87 4.47 2.37 0.97 -0.00 -0.71 -1.24 -1.65 -1.98 -2.24 -2.45 -2.63 -2.77 -2.90 -3.00
4.25 7.97 4.52 2.40 0.99 -0.00 -0.72 -1.26 -1.68 -2.00 -2.27 -2.48 -2.66 -2.81 -2.93 -3.04
4.30 8.07 4.58 2.43 1.00 -0.00 -0.73 -1.27 -1.70 -2.03 -2.30 -2.51 -2.69 -2.84 -2.97 -3.08
4.35 8.17 4.63 2.46 1.01 -0.00 -0.74 -1.29 -1.72 -2.05 -2.32 -2.54 -2.73 -2.88 -3.01 -3.12
4.40 8.27 4.69 2.49 1.02 -0.00 -0.75 -1.31 -1.74 -2.08 -2.35 -2.58 -2.76 -2.91 -3.04 -3.15
4.45 8.37 4.75 2.52 1.04 -0.00 -0.75 -1.32 -1.76 -2.10 -2.38 -2.61 -2.79 -2.95 -3.08 -3.19
4.50 8.47 4.80 2.55 1.05 -0.00 -0.76 -1.34 -1.78 -2.13 -2.41 -2.64 -2.83 -2.98 -3.12 -3.23
4.55 8.56 4.86 2.58 1.06 -0.00 -0.77 -1.35 -1.80 -2.15 -2.44 -2.67 -2.86 -3.02 -3.15 -3.27
4.60 8.66 4.92 2.61 1.07 -0.00 -0.78 -1.37 -1.82 -2.18 -2.47 -2.70 -2.89 -3.05 -3.19 -3.30
4.65 8.76 4.97 2.63 1.08 -0.00 -0.79 -1.38 -1.84 -2.20 -2.49 -2.73 -2.92 -3.09 -3.22 -3.34
4.70 8.86 5.03 2.66 1.10 -0.00 -0.80 -1.40 -1.86 -2.23 -2.52 -2.76 -2.96 -3.12 -3.26 -3.38
4.75 8.96 5.08 2.69 1.11 -0.00 -0.81 -1.42 -1.88 -2.25 -2.55 -2.79 -2.99 -3.16 -3.30 -3.42
4.80 9.06 5.14 2.72 1.12 -0.00 -0.82 -1.43 -1.90 -2.28 -2.58 -2.82 -3.02 -3.19 -3.33 -3.45
4.85 9.16 5.20 2.75 1.13 -0.00 -0.83 -1.45 -1.93 -2.30 -2.61 -2.85 -3.06 -3.23 -3.37 -3.49
4.90 9.26 5.25 2.78 1.15 -0.00 -0.83 -1.46 -1.95 -2.33 -2.63 -2.88 -3.09 -3.26 -3.41 -3.53

 

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