Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -9.76 31.87 1.00 5.4E+4 5.9 26.2 60.6 12 12 0 -8.02 32.02 1.00 5.5E+4 5.9 26.2 60.5 12 18 0 -6.28 32.14 1.00 5.5E+4 5.9 26.2 60.5 12 24 0 -4.53 32.23 1.00 5.5E+4 5.9 26.2 60.4 12 30 0 -2.77 32.30 1.00 5.5E+4 5.9 26.2 60.3 12 36 0 -1.02 32.33 1.00 5.5E+4 5.9 26.2 60.3 12 42 0 0.74 32.33 1.00 5.5E+4 5.9 26.2 60.2 12 48 0 2.49 32.30 1.00 5.5E+4 5.9 26.2 60.2 12 54 0 4.25 32.24 1.00 5.5E+4 5.9 26.2 60.1 13 0 0 6.00 32.15 1.00 5.5E+4 5.9 26.2 60.1 13 6 0 7.74 32.03 1.00 5.5E+4 5.9 26.2 60.0 13 12 0 9.48 31.88 1.00 5.5E+4 5.9 26.2 60.0 13 18 0 11.22 31.71 1.00 5.4E+4 5.9 26.2 59.9 13 24 0 12.94 31.50 1.00 5.4E+4 5.9 26.2 59.8 13 30 0 14.66 31.26 1.00 5.3E+4 5.9 26.2 59.8 13 36 0 16.36 31.00 1.00 5.3E+4 5.9 26.2 59.7 13 42 0 18.06 30.71 1.00 5.2E+4 5.9 26.2 59.7 13 48 0 19.74 30.39 1.00 5.2E+4 5.9 26.2 59.6 13 54 0 21.41 30.04 1.00 5.1E+4 5.9 26.2 59.6 14 0 0 23.07 29.67 1.00 5.0E+4 5.9 26.2 59.5 14 6 0 24.71 29.27 1.00 4.9E+4 5.9 26.2 59.5 14 12 0 26.33 28.85 1.00 4.9E+4 5.9 26.2 59.4 14 18 0 27.95 28.40 1.00 4.8E+4 5.9 26.2 59.4 14 24 0 29.54 27.93 1.00 4.7E+4 5.9 26.2 59.3 14 30 0 31.12 27.43 1.00 4.6E+4 5.9 26.2 59.2 14 36 0 32.68 26.91 1.00 4.5E+4 5.9 26.2 59.2 14 42 0 34.23 26.37 1.00 4.4E+4 5.9 26.2 59.1 14 48 0 35.76 25.81 1.00 4.2E+4 5.9 26.2 59.1 14 54 0 37.27 25.22 1.00 4.1E+4 5.9 26.2 59.0 15 0 0 38.76 24.62 1.00 4.0E+4 5.9 26.2 59.0 15 6 0 40.24 23.99 1.00 3.9E+4 5.9 26.2 58.9 15 12 0 41.70 23.35 1.00 3.7E+4 5.9 26.2 58.9 15 18 0 43.14 22.68 1.00 3.6E+4 5.9 26.2 58.8 15 24 0 44.56 22.00 1.00 3.5E+4 5.9 26.2 58.7 15 30 0 45.97 21.31 1.00 3.3E+4 5.9 26.2 58.7 15 36 0 47.37 20.59 1.00 3.2E+4 5.8 26.2 58.6 15 42 0 48.74 19.86 1.00 3.0E+4 5.8 26.2 58.6 15 48 0 50.10 19.12 1.00 2.9E+4 5.8 26.2 58.5 15 54 0 51.45 18.35 1.00 2.7E+4 5.8 26.2 58.5 16 0 0 52.78 17.58 1.00 2.6E+4 5.8 26.2 58.4 16 6 0 54.09 16.79 1.00 2.4E+4 5.8 26.2 58.4 16 12 0 55.39 15.99 1.00 2.2E+4 5.8 26.2 58.3 16 18 0 56.68 15.17 1.00 2.1E+4 5.8 26.2 58.3 16 24 0 57.96 14.35 1.00 1.9E+4 5.8 26.2 58.2 16 30 0 59.22 13.51 1.00 1.7E+4 5.8 26.2 58.1 16 36 0 60.47 12.66 1.00 1.6E+4 5.8 26.2 58.1 16 42 0 61.70 11.80 1.00 1.4E+4 5.8 26.2 58.0 16 48 0 62.93 10.93 1.00 1.2E+4 5.8 26.2 58.0 16 54 0 64.15 10.05 1.00 1.1E+4 5.8 26.2 57.9 17 0 0 65.35 9.17 1.00 9.2E+3 5.8 26.2 57.9 17 6 0 66.55 8.27 1.00 7.6E+3 5.8 26.2 57.8 17 12 0 67.74 7.37 1.00 6.1E+3 5.8 26.2 57.8 17 18 0 68.91 6.45 1.00 4.7E+3 5.8 26.2 57.7 17 24 0 70.08 5.53 1.00 3.5E+3 5.8 26.2 57.6 17 30 0 71.25 4.61 1.00 2.3E+3 5.8 26.2 57.6 17 36 0 72.41 3.68 1.00 1.4E+3 5.8 26.2 57.5 17 42 0 73.56 2.74 1.00 7.0E+2 5.8 26.2 57.5 17 48 0 74.70 1.79 1.00 2.5E+2 5.8 26.2 57.4 17 54 0 75.84 0.84 1.00 4.2E+1 5.8 26.2 57.4 18 0 0 76.98 -0.11 1.00 0 5.8 26.2 57.3 18 6 0 78.11 -1.07 1.00 0 5.8 26.2 57.3 18 12 0 79.24 -2.03 1.00 0 5.8 26.2 57.2 18 18 0 80.37 -3.00 1.00 0 5.8 26.2 57.2 18 24 0 81.49 -3.97 1.00 0 5.8 26.2 57.1 18 30 0 82.62 -4.94 1.00 0 5.8 26.2 57.0 18 36 0 83.74 -5.91 1.00 0 5.8 26.2 57.0 18 42 0 84.86 -6.89 1.00 0 5.8 26.2 56.9 18 48 0 85.99 -7.87 1.00 0 5.8 26.2 56.9 18 54 0 87.11 -8.85 1.00 0 5.8 26.2 56.8 19 0 0 88.24 -9.83 1.00 0 5.8 26.2 56.8 19 6 0 89.37 -10.81 1.00 0 5.8 26.2 56.7 19 12 0 90.51 -11.79 1.00 0 5.8 26.2 56.7 19 18 0 91.65 -12.77 1.00 0 5.8 26.2 56.6 19 24 0 92.79 -13.75 1.00 0 5.8 26.2 56.5 19 30 0 93.94 -14.73 1.00 0 5.8 26.2 56.5 19 36 0 95.09 -15.71 1.00 0 5.8 26.2 56.4 19 42 0 96.26 -16.69 1.00 0 5.8 26.2 56.4 19 48 0 97.43 -17.66 1.00 0 5.8 26.2 56.3 19 54 0 98.61 -18.63 1.00 0 5.8 26.2 56.3 20 0 0 99.80 -19.60 1.00 0 5.8 26.2 56.2 20 6 0 101.00 -20.57 1.00 0 5.8 26.2 56.2 20 12 0 102.21 -21.53 1.00 0 5.8 26.2 56.1 20 18 0 103.43 -22.49 1.00 0 5.8 26.2 56.1 20 24 0 104.66 -23.44 1.00 0 5.8 26.2 56.0 20 30 0 105.91 -24.39 1.00 0 5.8 26.2 55.9 20 36 0 107.18 -25.33 1.00 0 5.8 26.2 55.9 20 42 0 108.46 -26.26 1.00 0 5.8 26.2 55.8 20 48 0 109.75 -27.19 1.00 0 5.8 26.2 55.8 20 54 0 111.07 -28.11 1.00 0 5.8 26.2 55.7 21 0 0 112.40 -29.02 1.00 0 5.8 26.2 55.7 21 6 0 113.75 -29.92 1.00 0 5.8 26.2 55.6 21 12 0 115.12 -30.82 1.00 0 5.8 26.2 55.6 21 18 0 116.52 -31.70 1.00 0 5.8 26.2 55.5 21 24 0 117.93 -32.57 1.00 0 5.8 26.2 55.5 21 30 0 119.37 -33.43 1.00 0 5.8 26.2 55.4 21 36 0 120.84 -34.28 1.00 0 5.8 26.2 55.3 21 42 0 122.33 -35.12 1.00 0 5.8 26.2 55.3 21 48 0 123.85 -35.94 1.00 0 5.8 26.2 55.2 21 54 0 125.39 -36.75 1.00 0 5.8 26.2 55.2 22 0 0 126.96 -37.54 1.00 0 5.8 26.2 55.1 22 6 0 128.57 -38.32 1.00 0 5.8 26.2 55.1 22 12 0 130.20 -39.08 1.00 0 5.8 26.2 55.0 22 18 0 131.86 -39.82 1.00 0 5.8 26.2 55.0 22 24 0 133.56 -40.54 1.00 0 5.8 26.2 54.9 22 30 0 135.29 -41.24 1.00 0 5.8 26.2 54.8 22 36 0 137.05 -41.92 1.00 0 5.8 26.2 54.8 22 42 0 138.85 -42.58 1.00 0 5.8 26.2 54.7 22 48 0 140.68 -43.22 1.00 0 5.8 26.2 54.7 22 54 0 142.54 -43.83 1.00 0 5.8 26.2 54.6 23 0 0 144.44 -44.41 1.00 0 5.8 26.2 54.6 23 6 0 146.37 -44.97 1.00 0 5.8 26.2 54.5 23 12 0 148.34 -45.50 1.00 0 5.8 26.2 54.5 23 18 0 150.34 -46.00 1.00 0 5.8 26.2 54.4 23 24 0 152.37 -46.47 1.00 0 5.8 26.2 54.4 23 30 0 154.44 -46.91 1.00 0 5.8 26.2 54.3 23 36 0 156.53 -47.32 1.00 0 5.8 26.2 54.2 23 42 0 158.66 -47.70 1.00 0 5.8 26.2 54.2 23 48 0 160.81 -48.04 1.00 0 5.8 26.2 54.1 23 54 0 162.99 -48.34 1.00 0 5.8 26.2 54.1 0 0 0 165.19 -48.61 1.00 0 5.8 26.2 54.0 0 6 0 167.41 -48.85 1.00 0 5.8 26.2 54.0 0 12 0 169.65 -49.04 1.00 0 5.8 26.2 53.9 0 18 0 171.90 -49.20 1.00 0 5.8 26.2 53.9 0 24 0 174.16 -49.32 1.00 0 5.8 26.2 53.8 0 30 0 176.44 -49.40 1.00 0 5.8 26.2 53.7 0 36 0 178.72 -49.45 1.00 0 5.8 26.2 53.7 0 42 0 -179.00 -49.45 1.00 0 5.8 26.2 53.6 0 48 0 -176.72 -49.42 1.00 0 5.8 26.2 53.6 0 54 0 -174.45 -49.34 1.00 0 5.8 26.2 53.5 1 0 0 -172.18 -49.23 1.00 0 5.8 26.2 53.5 1 6 0 -169.92 -49.08 1.00 0 5.8 26.2 53.4 1 12 0 -167.68 -48.89 1.00 0 5.8 26.2 53.4 1 18 0 -165.46 -48.66 1.00 0 5.8 26.2 53.3 1 24 0 -163.25 -48.40 1.00 0 5.8 26.2 53.3 1 30 0 -161.07 -48.10 1.00 0 5.8 26.2 53.2 1 36 0 -158.91 -47.77 1.00 0 5.8 26.2 53.1 1 42 0 -156.78 -47.40 1.00 0 5.8 26.2 53.1 1 48 0 -154.68 -47.00 1.00 0 5.8 26.2 53.0 1 54 0 -152.61 -46.56 1.00 0 5.8 26.2 53.0 2 0 0 -150.57 -46.10 1.00 0 5.8 26.2 52.9 2 6 0 -148.56 -45.60 1.00 0 5.8 26.2 52.9 2 12 0 -146.59 -45.08 1.00 0 5.8 26.2 52.8 2 18 0 -144.65 -44.53 1.00 0 5.8 26.2 52.8 2 24 0 -142.74 -43.95 1.00 0 5.8 26.2 52.7 2 30 0 -140.87 -43.34 1.00 0 5.8 26.2 52.6 2 36 0 -139.04 -42.71 1.00 0 5.8 26.2 52.6 2 42 0 -137.23 -42.06 1.00 0 5.8 26.2 52.5 2 48 0 -135.46 -41.39 1.00 0 5.8 26.2 52.5 2 54 0 -133.73 -40.69 1.00 0 5.8 26.2 52.4 3 0 0 -132.02 -39.97 1.00 0 5.8 26.2 52.4 3 6 0 -130.35 -39.24 1.00 0 5.8 26.2 52.3 3 12 0 -128.71 -38.48 1.00 0 5.8 26.2 52.3 3 18 0 -127.11 -37.71 1.00 0 5.8 26.2 52.2 3 24 0 -125.53 -36.92 1.00 0 5.8 26.2 52.2 3 30 0 -123.98 -36.12 1.00 0 5.8 26.2 52.1 3 36 0 -122.45 -35.30 1.00 0 5.8 26.2 52.0 3 42 0 -120.96 -34.47 1.00 0 5.8 26.2 52.0 3 48 0 -119.49 -33.62 1.00 0 5.8 26.2 51.9 3 54 0 -118.04 -32.76 1.00 0 5.8 26.2 51.9 4 0 0 -116.62 -31.89 1.00 0 5.8 26.2 51.8 4 6 0 -115.22 -31.01 1.00 0 5.8 26.2 51.8 4 12 0 -113.84 -30.12 1.00 0 5.8 26.2 51.7 4 18 0 -112.49 -29.22 1.00 0 5.8 26.2 51.7 4 24 0 -111.15 -28.31 1.00 0 5.8 26.2 51.6 4 30 0 -109.83 -27.40 1.00 0 5.8 26.2 51.5 4 36 0 -108.53 -26.47 1.00 0 5.8 26.2 51.5 4 42 0 -107.25 -25.54 1.00 0 5.8 26.2 51.4 4 48 0 -105.98 -24.60 1.00 0 5.8 26.2 51.4 4 54 0 -104.73 -23.66 1.00 0 5.8 26.2 51.3 5 0 0 -103.49 -22.71 1.00 0 5.8 26.2 51.3 5 6 0 -102.26 -21.75 1.00 0 5.8 26.2 51.2 5 12 0 -101.05 -20.79 1.00 0 5.8 26.2 51.2 5 18 0 -99.85 -19.83 1.00 0 5.8 26.2 51.1 5 24 0 -98.65 -18.86 1.00 0 5.8 26.2 51.1 5 30 0 -97.47 -17.90 1.00 0 5.8 26.2 51.0 5 36 0 -96.30 -16.92 1.00 0 5.8 26.2 50.9 5 42 0 -95.13 -15.95 1.00 0 5.8 26.2 50.9 5 48 0 -93.97 -14.97 1.00 0 5.8 26.2 50.8 5 54 0 -92.82 -14.00 1.00 0 5.8 26.2 50.8 6 0 0 -91.68 -13.02 1.00 0 5.8 26.2 50.7 6 6 0 -90.54 -12.04 1.00 0 5.8 26.2 50.7 6 12 0 -89.40 -11.06 1.00 0 5.8 26.2 50.6 6 18 0 -88.27 -10.08 1.00 0 5.8 26.2 50.6 6 24 0 -87.14 -9.10 1.00 0 5.8 26.2 50.5 6 30 0 -86.01 -8.12 1.00 0 5.8 26.2 50.4 6 36 0 -84.88 -7.15 1.00 0 5.8 26.2 50.4 6 42 0 -83.76 -6.17 1.00 0 5.8 26.2 50.3 6 48 0 -82.63 -5.20 1.00 0 5.8 26.2 50.3 6 54 0 -81.51 -4.23 1.00 0 5.8 26.2 50.2 7 0 0 -80.38 -3.27 1.00 0 5.8 26.2 50.2 7 6 0 -79.25 -2.30 1.00 0 5.8 26.2 50.1 7 12 0 -78.12 -1.34 1.00 0 5.8 26.2 50.1 7 18 0 -76.99 -0.39 1.00 0 5.8 26.2 50.0 7 24 0 -75.85 0.57 1.00 1.8E+1 5.8 26.2 50.0 7 30 0 -74.71 1.51 1.00 1.7E+2 5.8 26.2 49.9 7 36 0 -73.56 2.45 1.00 5.4E+2 5.8 26.2 49.8 7 42 0 -72.41 3.39 1.00 1.2E+3 5.8 26.2 49.8 7 48 0 -71.25 4.32 1.00 2.0E+3 5.8 26.2 49.7 7 54 0 -70.09 5.24 1.00 3.1E+3 5.8 26.2 49.7 8 0 0 -68.92 6.16 1.00 4.3E+3 5.8 26.2 49.6 8 6 0 -67.74 7.07 1.00 5.7E+3 5.8 26.2 49.6 8 12 0 -66.55 7.97 1.00 7.1E+3 5.8 26.2 49.5 8 18 0 -65.36 8.87 1.00 8.7E+3 5.8 26.2 49.5 8 24 0 -64.15 9.75 1.00 1.0E+4 5.8 26.2 49.4 8 30 0 -62.94 10.63 1.00 1.2E+4 5.8 26.2 49.3 8 36 0 -61.71 11.50 1.00 1.3E+4 5.8 26.2 49.3 8 42 0 -60.48 12.35 1.00 1.5E+4 5.8 26.2 49.2 8 48 0 -59.23 13.20 1.00 1.7E+4 5.8 26.2 49.2 8 54 0 -57.97 14.03 1.00 1.8E+4 5.8 26.2 49.1 9 0 0 -56.69 14.86 1.00 2.0E+4 5.8 26.2 49.1 9 6 0 -55.41 15.67 1.00 2.2E+4 5.8 26.2 49.0 9 12 0 -54.11 16.47 1.00 2.3E+4 5.8 26.2 49.0 9 18 0 -52.80 17.26 1.00 2.5E+4 5.8 26.2 48.9 9 24 0 -51.47 18.03 1.00 2.7E+4 5.8 26.2 48.9 9 30 0 -50.12 18.79 1.00 2.8E+4 5.8 26.2 48.8 9 36 0 -48.77 19.53 1.00 3.0E+4 5.8 26.2 48.7 9 42 0 -47.39 20.26 1.00 3.1E+4 5.8 26.2 48.7 9 48 0 -46.00 20.97 1.00 3.3E+4 5.8 26.2 48.6 9 54 0 -44.60 21.67 1.00 3.4E+4 5.8 26.2 48.6 10 0 0 -43.18 22.34 1.00 3.5E+4 5.8 26.2 48.5 10 6 0 -41.74 23.00 1.00 3.7E+4 5.8 26.2 48.5 10 12 0 -40.28 23.65 1.00 3.8E+4 5.8 26.2 48.4 10 18 0 -38.81 24.27 1.00 3.9E+4 5.8 26.2 48.4 10 24 0 -37.32 24.87 1.00 4.1E+4 5.8 26.2 48.3 10 30 0 -35.81 25.45 1.00 4.2E+4 5.8 26.2 48.3 10 36 0 -34.29 26.02 1.00 4.3E+4 5.8 26.2 48.2 10 42 0 -32.75 26.56 1.00 4.4E+4 5.8 26.2 48.1 10 48 0 -31.19 27.07 1.00 4.5E+4 5.8 26.2 48.1 10 54 0 -29.62 27.57 1.00 4.6E+4 5.8 26.2 48.0 11 0 0 -28.03 28.04 1.00 4.7E+4 5.8 26.2 48.0 11 6 0 -26.43 28.49 1.00 4.8E+4 5.8 26.2 47.9 11 12 0 -24.81 28.91 1.00 4.9E+4 5.8 26.2 47.9 11 18 0 -23.17 29.31 1.00 5.0E+4 5.8 26.2 47.8 11 24 0 -21.52 29.68 1.00 5.0E+4 5.8 26.2 47.8 11 30 0 -19.86 30.02 1.00 5.1E+4 5.8 26.2 47.7 11 36 0 -18.19 30.34 1.00 5.2E+4 5.8 26.2 47.6 11 42 0 -16.50 30.63 1.00 5.2E+4 5.8 26.2 47.6 11 48 0 -14.80 30.89 1.00 5.3E+4 5.8 26.2 47.5 11 54 0 -13.09 31.13 1.00 5.3E+4 5.8 26.2 47.5 12 0 0 -11.38 31.34 1.00 5.3E+4 5.8 26.2 47.4 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:14 18: 5 0.0 -8.47 14.1 13.16 -12.1 2.66 -6.0 6:42 18:37 32.2 -8.47 14.1 12.08 -6.0 0.50 -12.0 6: 5 19:14 69.0 -8.47 14.1 10.86 0.9 -2.05 -18.0 5:28 19:51 105.9 -8.47 14.1 9.63 8.0 -3.15 from 4 values is 6:22 18:57 51.8 -8.47 14.1 11.43 -2.3 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:16 18: 3 0.0 -8.84 14.3 13.22 -12.7 2.66 -6.0 6:43 18:35 32.3 -8.84 14.3 12.14 -6.6 0.50 -12.0 6: 7 19:12 69.1 -8.84 14.3 10.91 0.3 -2.05 -18.0 5:30 19:49 105.9 -8.84 14.3 9.69 7.4 -3.15 from 4 values is 6:24 18:55 51.8 -8.84 14.3 11.49 -2.9 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 139.34 -10.47 63.419 -144 -11.68 -1.5 -14.7 -4.0 129.6 12 12 0 140.57 -11.07 63.428 -144 -11.68 -1.4 -14.7 -4.0 129.6 12 18 0 141.80 -11.66 63.437 -144 -11.67 -1.4 -14.6 -4.0 129.7 12 24 0 143.05 -12.23 63.446 -144 -11.67 -1.4 -14.6 -4.0 129.7 12 30 0 144.31 -12.78 63.454 -144 -11.67 -1.4 -14.6 -4.0 129.8 12 36 0 145.58 -13.32 63.461 -144 -11.67 -1.4 -14.6 -4.0 129.8 12 42 0 146.86 -13.84 63.469 -144 -11.67 -1.4 -14.6 -4.0 129.9 12 48 0 148.15 -14.34 63.476 -144 -11.67 -1.4 -14.5 -4.0 129.9 12 54 0 149.45 -14.82 63.483 -144 -11.66 -1.4 -14.5 -4.0 130.0 13 0 0 150.76 -15.29 63.489 -144 -11.66 -1.3 -14.5 -4.0 130.0 13 6 0 152.07 -15.73 63.496 -144 -11.66 -1.3 -14.5 -4.0 130.1 13 12 0 153.40 -16.16 63.501 -144 -11.66 -1.3 -14.5 -3.9 130.1 13 18 0 154.74 -16.56 63.507 -144 -11.66 -1.3 -14.4 -3.9 130.2 13 24 0 156.08 -16.95 63.512 -144 -11.65 -1.3 -14.4 -3.9 130.2 13 30 0 157.44 -17.32 63.517 -144 -11.65 -1.3 -14.4 -3.9 130.3 13 36 0 158.80 -17.66 63.521 -143 -11.65 -1.3 -14.4 -3.9 130.3 13 42 0 160.17 -17.98 63.525 -143 -11.65 -1.3 -14.3 -3.9 130.4 13 48 0 161.55 -18.29 63.529 -143 -11.65 -1.3 -14.3 -3.9 130.4 13 54 0 162.94 -18.57 63.532 -143 -11.65 -1.2 -14.3 -3.9 130.5 14 0 0 164.33 -18.83 63.535 -143 -11.64 -1.2 -14.3 -3.9 130.5 14 6 0 165.73 -19.06 63.538 -143 -11.64 -1.2 -14.3 -3.9 130.6 14 12 0 167.13 -19.28 63.540 -143 -11.64 -1.2 -14.2 -3.9 130.6 14 18 0 168.54 -19.47 63.541 -143 -11.64 -1.2 -14.2 -3.9 130.7 14 24 0 169.96 -19.64 63.543 -143 -11.64 -1.2 -14.2 -3.8 130.7 14 30 0 171.38 -19.79 63.544 -143 -11.64 -1.2 -14.2 -3.8 130.8 14 36 0 172.80 -19.91 63.544 -143 -11.63 -1.2 -14.1 -3.8 130.8 14 42 0 174.23 -20.01 63.545 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PhA