Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -22.00 54.01 1.01 8.9E+4 6.5 15.2 100.7 12 12 0 -19.59 54.36 1.01 8.9E+4 6.5 15.2 100.7 12 18 0 -17.15 54.67 1.01 8.9E+4 6.5 15.2 100.6 12 24 0 -14.68 54.93 1.01 9.0E+4 6.5 15.2 100.5 12 30 0 -12.18 55.16 1.01 9.0E+4 6.5 15.2 100.5 12 36 0 -9.66 55.34 1.01 9.0E+4 6.5 15.2 100.4 12 42 0 -7.11 55.49 1.01 9.0E+4 6.5 15.2 100.4 12 48 0 -4.56 55.58 1.01 9.1E+4 6.5 15.2 100.3 12 54 0 -1.99 55.64 1.01 9.1E+4 6.5 15.2 100.3 13 0 0 0.58 55.65 1.01 9.1E+4 6.5 15.2 100.2 13 6 0 3.15 55.62 1.01 9.1E+4 6.5 15.2 100.2 13 12 0 5.71 55.54 1.01 9.1E+4 6.5 15.2 100.1 13 18 0 8.26 55.42 1.01 9.0E+4 6.5 15.2 100.0 13 24 0 10.79 55.26 1.01 9.0E+4 6.5 15.2 100.0 13 30 0 13.30 55.05 1.01 9.0E+4 6.5 15.2 99.9 13 36 0 15.79 54.80 1.01 9.0E+4 6.5 15.2 99.9 13 42 0 18.25 54.51 1.01 8.9E+4 6.5 15.2 99.8 13 48 0 20.67 54.19 1.01 8.9E+4 6.5 15.2 99.8 13 54 0 23.06 53.82 1.01 8.8E+4 6.5 15.2 99.7 14 0 0 25.41 53.42 1.01 8.8E+4 6.5 15.2 99.7 14 6 0 27.71 52.98 1.01 8.7E+4 6.5 15.2 99.6 14 12 0 29.98 52.50 1.01 8.7E+4 6.5 15.2 99.6 14 18 0 32.20 52.00 1.01 8.6E+4 6.5 15.2 99.5 14 24 0 34.37 51.46 1.01 8.5E+4 6.5 15.2 99.4 14 30 0 36.50 50.89 1.01 8.4E+4 6.5 15.2 99.4 14 36 0 38.58 50.29 1.01 8.3E+4 6.5 15.2 99.3 14 42 0 40.61 49.66 1.01 8.3E+4 6.5 15.2 99.3 14 48 0 42.60 49.01 1.01 8.2E+4 6.5 15.2 99.2 14 54 0 44.54 48.33 1.01 8.1E+4 6.5 15.2 99.2 15 0 0 46.44 47.63 1.01 8.0E+4 6.5 15.2 99.1 15 6 0 48.30 46.91 1.01 7.8E+4 6.5 15.2 99.1 15 12 0 50.11 46.17 1.01 7.7E+4 6.5 15.2 99.0 15 18 0 51.87 45.41 1.01 7.6E+4 6.5 15.2 98.9 15 24 0 53.60 44.62 1.01 7.5E+4 6.5 15.2 98.9 15 30 0 55.29 43.83 1.01 7.4E+4 6.5 15.2 98.8 15 36 0 56.94 43.01 1.01 7.2E+4 6.5 15.2 98.8 15 42 0 58.56 42.18 1.01 7.1E+4 6.5 15.2 98.7 15 48 0 60.14 41.34 1.01 7.0E+4 6.5 15.2 98.7 15 54 0 61.69 40.48 1.01 6.8E+4 6.5 15.2 98.6 16 0 0 63.20 39.61 1.01 6.7E+4 6.5 15.2 98.6 16 6 0 64.69 38.73 1.01 6.5E+4 6.5 15.2 98.5 16 12 0 66.15 37.84 1.01 6.4E+4 6.5 15.2 98.5 16 18 0 67.58 36.93 1.01 6.2E+4 6.5 15.2 98.4 16 24 0 68.98 36.02 1.01 6.0E+4 6.5 15.2 98.3 16 30 0 70.36 35.10 1.01 5.9E+4 6.5 15.2 98.3 16 36 0 71.71 34.17 1.01 5.7E+4 6.5 15.2 98.2 16 42 0 73.04 33.24 1.01 5.5E+4 6.5 15.2 98.2 16 48 0 74.36 32.30 1.01 5.4E+4 6.5 15.2 98.1 16 54 0 75.65 31.35 1.01 5.2E+4 6.5 15.2 98.1 17 0 0 76.92 30.39 1.01 5.0E+4 6.5 15.2 98.0 17 6 0 78.18 29.44 1.01 4.8E+4 6.5 15.2 98.0 17 12 0 79.42 28.47 1.01 4.6E+4 6.5 15.2 97.9 17 18 0 80.64 27.51 1.01 4.4E+4 6.5 15.2 97.8 17 24 0 81.85 26.54 1.01 4.3E+4 6.5 15.2 97.8 17 30 0 83.05 25.57 1.01 4.1E+4 6.5 15.2 97.7 17 36 0 84.24 24.59 1.01 3.9E+4 6.5 15.2 97.7 17 42 0 85.41 23.61 1.01 3.7E+4 6.5 15.2 97.6 17 48 0 86.57 22.63 1.01 3.5E+4 6.5 15.2 97.6 17 54 0 87.73 21.65 1.01 3.3E+4 6.5 15.2 97.5 18 0 0 88.88 20.67 1.01 3.1E+4 6.5 15.2 97.5 18 6 0 90.01 19.69 1.01 2.9E+4 6.5 15.2 97.4 18 12 0 91.14 18.71 1.01 2.7E+4 6.5 15.2 97.3 18 18 0 92.27 17.73 1.01 2.5E+4 6.5 15.2 97.3 18 24 0 93.39 16.75 1.01 2.3E+4 6.5 15.2 97.2 18 30 0 94.50 15.77 1.01 2.1E+4 6.5 15.2 97.2 18 36 0 95.62 14.79 1.01 1.9E+4 6.5 15.2 97.1 18 42 0 96.72 13.82 1.01 1.7E+4 6.5 15.2 97.1 18 48 0 97.83 12.85 1.01 1.6E+4 6.5 15.3 97.0 18 54 0 98.93 11.88 1.01 1.4E+4 6.5 15.3 97.0 19 0 0 100.03 10.91 1.01 1.2E+4 6.5 15.3 96.9 19 6 0 101.14 9.94 1.01 1.0E+4 6.5 15.3 96.9 19 12 0 102.24 8.98 1.01 8.6E+3 6.5 15.3 96.8 19 18 0 103.34 8.03 1.01 7.0E+3 6.5 15.3 96.7 19 24 0 104.44 7.07 1.01 5.5E+3 6.5 15.3 96.7 19 30 0 105.55 6.12 1.01 4.1E+3 6.5 15.3 96.6 19 36 0 106.66 5.18 1.01 2.9E+3 6.5 15.3 96.6 19 42 0 107.77 4.24 1.01 1.9E+3 6.5 15.3 96.5 19 48 0 108.88 3.31 1.01 1.1E+3 6.5 15.3 96.5 19 54 0 110.00 2.39 1.01 4.9E+2 6.5 15.3 96.4 20 0 0 111.13 1.47 1.01 1.5E+2 6.5 15.3 96.4 20 6 0 112.25 0.56 1.01 1.7E+1 6.5 15.3 96.3 20 12 0 113.39 -0.35 1.01 0 6.5 15.3 96.2 20 18 0 114.53 -1.24 1.01 0 6.5 15.3 96.2 20 24 0 115.68 -2.13 1.01 0 6.5 15.3 96.1 20 30 0 116.83 -3.01 1.01 0 6.5 15.3 96.1 20 36 0 117.99 -3.88 1.01 0 6.5 15.3 96.0 20 42 0 119.16 -4.75 1.01 0 6.5 15.3 96.0 20 48 0 120.34 -5.60 1.01 0 6.5 15.3 95.9 20 54 0 121.53 -6.44 1.01 0 6.5 15.3 95.9 21 0 0 122.73 -7.27 1.01 0 6.5 15.3 95.8 21 6 0 123.93 -8.09 1.01 0 6.5 15.3 95.8 21 12 0 125.15 -8.90 1.01 0 6.5 15.3 95.7 21 18 0 126.38 -9.70 1.01 0 6.5 15.3 95.6 21 24 0 127.62 -10.48 1.01 0 6.5 15.3 95.6 21 30 0 128.87 -11.25 1.01 0 6.5 15.3 95.5 21 36 0 130.14 -12.01 1.01 0 6.5 15.3 95.5 21 42 0 131.41 -12.75 1.01 0 6.5 15.3 95.4 21 48 0 132.70 -13.48 1.01 0 6.5 15.3 95.4 21 54 0 134.00 -14.19 1.01 0 6.5 15.3 95.3 22 0 0 135.31 -14.89 1.01 0 6.5 15.3 95.3 22 6 0 136.64 -15.58 1.01 0 6.5 15.3 95.2 22 12 0 137.98 -16.24 1.01 0 6.5 15.3 95.1 22 18 0 139.34 -16.89 1.01 0 6.5 15.3 95.1 22 24 0 140.70 -17.52 1.01 0 6.5 15.3 95.0 22 30 0 142.08 -18.13 1.01 0 6.5 15.3 95.0 22 36 0 143.48 -18.73 1.01 0 6.5 15.3 94.9 22 42 0 144.89 -19.30 1.01 0 6.5 15.3 94.9 22 48 0 146.31 -19.86 1.01 0 6.5 15.3 94.8 22 54 0 147.75 -20.39 1.01 0 6.5 15.3 94.8 23 0 0 149.20 -20.91 1.01 0 6.5 15.3 94.7 23 6 0 150.66 -21.40 1.01 0 6.5 15.3 94.6 23 12 0 152.14 -21.87 1.01 0 6.5 15.3 94.6 23 18 0 153.63 -22.32 1.01 0 6.5 15.3 94.5 23 24 0 155.13 -22.74 1.01 0 6.5 15.3 94.5 23 30 0 156.64 -23.14 1.01 0 6.5 15.3 94.4 23 36 0 158.17 -23.52 1.01 0 6.5 15.3 94.4 23 42 0 159.71 -23.87 1.01 0 6.5 15.3 94.3 23 48 0 161.25 -24.20 1.01 0 6.5 15.3 94.3 23 54 0 162.81 -24.51 1.01 0 6.5 15.3 94.2 0 0 0 164.38 -24.78 1.01 0 6.5 15.3 94.2 0 6 0 165.95 -25.04 1.01 0 6.5 15.3 94.1 0 12 0 167.54 -25.26 1.01 0 6.5 15.3 94.0 0 18 0 169.13 -25.46 1.01 0 6.5 15.3 94.0 0 24 0 170.72 -25.64 1.01 0 6.5 15.3 93.9 0 30 0 172.33 -25.78 1.01 0 6.5 15.3 93.9 0 36 0 173.93 -25.90 1.01 0 6.5 15.3 93.8 0 42 0 175.54 -25.99 1.01 0 6.5 15.3 93.8 0 48 0 177.16 -26.05 1.01 0 6.5 15.3 93.7 0 54 0 178.77 -26.09 1.01 0 6.5 15.3 93.7 1 0 0 -179.61 -26.10 1.01 0 6.5 15.3 93.6 1 6 0 -178.00 -26.08 1.01 0 6.5 15.3 93.5 1 12 0 -176.38 -26.03 1.01 0 6.5 15.3 93.5 1 18 0 -174.77 -25.96 1.01 0 6.5 15.3 93.4 1 24 0 -173.16 -25.86 1.01 0 6.5 15.3 93.4 1 30 0 -171.56 -25.73 1.01 0 6.5 15.3 93.3 1 36 0 -169.96 -25.57 1.01 0 6.5 15.3 93.3 1 42 0 -168.36 -25.39 1.01 0 6.5 15.4 93.2 1 48 0 -166.77 -25.18 1.01 0 6.5 15.4 93.2 1 54 0 -165.19 -24.94 1.01 0 6.5 15.4 93.1 2 0 0 -163.62 -24.68 1.01 0 6.5 15.4 93.1 2 6 0 -162.06 -24.39 1.01 0 6.5 15.4 93.0 2 12 0 -160.50 -24.08 1.01 0 6.5 15.4 92.9 2 18 0 -158.96 -23.74 1.01 0 6.5 15.4 92.9 2 24 0 -157.43 -23.38 1.01 0 6.5 15.4 92.8 2 30 0 -155.90 -22.99 1.01 0 6.5 15.4 92.8 2 36 0 -154.39 -22.58 1.01 0 6.5 15.4 92.7 2 42 0 -152.90 -22.15 1.01 0 6.5 15.4 92.7 2 48 0 -151.41 -21.69 1.01 0 6.5 15.4 92.6 2 54 0 -149.94 -21.21 1.01 0 6.5 15.4 92.6 3 0 0 -148.48 -20.71 1.01 0 6.5 15.4 92.5 3 6 0 -147.04 -20.19 1.01 0 6.5 15.4 92.4 3 12 0 -145.60 -19.65 1.01 0 6.6 15.4 92.4 3 18 0 -144.19 -19.08 1.01 0 6.6 15.4 92.3 3 24 0 -142.78 -18.50 1.01 0 6.6 15.4 92.3 3 30 0 -141.39 -17.90 1.01 0 6.6 15.4 92.2 3 36 0 -140.01 -17.28 1.01 0 6.6 15.4 92.2 3 42 0 -138.65 -16.64 1.01 0 6.6 15.4 92.1 3 48 0 -137.30 -15.99 1.01 0 6.6 15.4 92.1 3 54 0 -135.97 -15.32 1.01 0 6.6 15.4 92.0 4 0 0 -134.64 -14.63 1.01 0 6.6 15.4 92.0 4 6 0 -133.33 -13.92 1.01 0 6.6 15.4 91.9 4 12 0 -132.04 -13.20 1.01 0 6.6 15.4 91.8 4 18 0 -130.75 -12.47 1.01 0 6.6 15.4 91.8 4 24 0 -129.48 -11.72 1.01 0 6.6 15.4 91.7 4 30 0 -128.22 -10.96 1.01 0 6.6 15.4 91.7 4 36 0 -126.97 -10.18 1.01 0 6.6 15.4 91.6 4 42 0 -125.74 -9.39 1.01 0 6.6 15.4 91.6 4 48 0 -124.51 -8.59 1.01 0 6.6 15.4 91.5 4 54 0 -123.30 -7.78 1.01 0 6.6 15.4 91.5 5 0 0 -122.09 -6.96 1.01 0 6.6 15.4 91.4 5 6 0 -120.90 -6.12 1.01 0 6.6 15.4 91.3 5 12 0 -119.71 -5.28 1.01 0 6.6 15.4 91.3 5 18 0 -118.53 -4.42 1.01 0 6.6 15.4 91.2 5 24 0 -117.37 -3.56 1.01 0 6.6 15.4 91.2 5 30 0 -116.21 -2.68 1.01 0 6.6 15.4 91.1 5 36 0 -115.05 -1.80 1.01 0 6.6 15.4 91.1 5 42 0 -113.91 -0.91 1.01 0 6.6 15.4 91.0 5 48 0 -112.77 -0.01 1.01 0 6.6 15.4 91.0 5 54 0 -111.63 0.90 1.01 4.7E+1 6.6 15.4 90.9 6 0 0 -110.51 1.81 1.01 2.5E+2 6.6 15.4 90.8 6 6 0 -109.38 2.73 1.01 6.8E+2 6.6 15.4 90.8 6 12 0 -108.26 3.66 1.01 1.4E+3 6.6 15.4 90.7 6 18 0 -107.15 4.59 1.01 2.3E+3 6.6 15.4 90.7 6 24 0 -106.04 5.53 1.01 3.4E+3 6.6 15.4 90.6 6 30 0 -104.93 6.47 1.01 4.6E+3 6.6 15.4 90.6 6 36 0 -103.82 7.42 1.01 6.0E+3 6.6 15.4 90.5 6 42 0 -102.72 8.37 1.01 7.6E+3 6.6 15.4 90.5 6 48 0 -101.61 9.33 1.01 9.2E+3 6.6 15.4 90.4 6 54 0 -100.51 10.29 1.01 1.1E+4 6.6 15.4 90.4 7 0 0 -99.40 11.26 1.01 1.3E+4 6.6 15.4 90.3 7 6 0 -98.30 12.23 1.01 1.4E+4 6.6 15.4 90.2 7 12 0 -97.19 13.20 1.01 1.6E+4 6.6 15.4 90.2 7 18 0 -96.08 14.17 1.01 1.8E+4 6.6 15.4 90.1 7 24 0 -94.97 15.14 1.01 2.0E+4 6.6 15.4 90.1 7 30 0 -93.85 16.12 1.01 2.2E+4 6.6 15.4 90.0 7 36 0 -92.73 17.10 1.01 2.4E+4 6.6 15.4 90.0 7 42 0 -91.61 18.08 1.01 2.6E+4 6.6 15.4 89.9 7 48 0 -90.48 19.05 1.01 2.8E+4 6.6 15.4 89.9 7 54 0 -89.34 20.03 1.01 3.0E+4 6.6 15.4 89.8 8 0 0 -88.20 21.01 1.01 3.2E+4 6.6 15.4 89.7 8 6 0 -87.05 21.99 1.01 3.4E+4 6.6 15.4 89.7 8 12 0 -85.88 22.97 1.01 3.6E+4 6.6 15.4 89.6 8 18 0 -84.71 23.94 1.01 3.8E+4 6.6 15.4 89.6 8 24 0 -83.53 24.92 1.01 3.9E+4 6.6 15.4 89.5 8 30 0 -82.34 25.89 1.01 4.1E+4 6.6 15.4 89.5 8 36 0 -81.13 26.86 1.01 4.3E+4 6.6 15.5 89.4 8 42 0 -79.91 27.83 1.01 4.5E+4 6.6 15.5 89.4 8 48 0 -78.67 28.79 1.01 4.7E+4 6.6 15.5 89.3 8 54 0 -77.42 29.75 1.01 4.9E+4 6.6 15.5 89.3 9 0 0 -76.16 30.70 1.01 5.1E+4 6.6 15.5 89.2 9 6 0 -74.87 31.65 1.01 5.2E+4 6.6 15.5 89.1 9 12 0 -73.57 32.59 1.01 5.4E+4 6.6 15.5 89.1 9 18 0 -72.24 33.53 1.01 5.6E+4 6.6 15.5 89.0 9 24 0 -70.90 34.46 1.01 5.8E+4 6.6 15.5 89.0 9 30 0 -69.53 35.38 1.01 5.9E+4 6.6 15.5 88.9 9 36 0 -68.14 36.29 1.01 6.1E+4 6.6 15.5 88.9 9 42 0 -66.72 37.19 1.01 6.2E+4 6.6 15.5 88.8 9 48 0 -65.28 38.09 1.01 6.4E+4 6.6 15.5 88.8 9 54 0 -63.80 38.97 1.01 6.6E+4 6.6 15.5 88.7 10 0 0 -62.30 39.85 1.01 6.7E+4 6.6 15.5 88.6 10 6 0 -60.77 40.71 1.01 6.9E+4 6.6 15.5 88.6 10 12 0 -59.21 41.55 1.01 7.0E+4 6.6 15.5 88.5 10 18 0 -57.61 42.39 1.01 7.1E+4 6.6 15.5 88.5 10 24 0 -55.97 43.21 1.01 7.3E+4 6.6 15.5 88.4 10 30 0 -54.30 44.01 1.01 7.4E+4 6.6 15.5 88.4 10 36 0 -52.59 44.80 1.01 7.5E+4 6.6 15.5 88.3 10 42 0 -50.85 45.56 1.01 7.6E+4 6.6 15.5 88.3 10 48 0 -49.06 46.31 1.01 7.8E+4 6.6 15.5 88.2 10 54 0 -47.23 47.04 1.01 7.9E+4 6.6 15.5 88.1 11 0 0 -45.35 47.75 1.01 8.0E+4 6.6 15.5 88.1 11 6 0 -43.44 48.44 1.01 8.1E+4 6.6 15.5 88.0 11 12 0 -41.48 49.10 1.01 8.2E+4 6.6 15.5 88.0 11 18 0 -39.47 49.73 1.01 8.3E+4 6.6 15.5 87.9 11 24 0 -37.42 50.34 1.01 8.4E+4 6.6 15.5 87.9 11 30 0 -35.32 50.92 1.01 8.4E+4 6.6 15.5 87.8 11 36 0 -33.17 51.47 1.01 8.5E+4 6.6 15.5 87.8 11 42 0 -30.98 51.99 1.01 8.6E+4 6.6 15.5 87.7 11 48 0 -28.75 52.48 1.01 8.7E+4 6.6 15.5 87.7 11 54 0 -26.47 52.93 1.01 8.7E+4 6.6 15.5 87.6 12 0 0 -24.16 53.35 1.01 8.8E+4 6.6 15.5 87.5 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 5:42 20:16 0.0 14.85 -5.0 9.44 24.1 2.66 -6.0 5: 6 20:51 35.9 14.85 -5.0 8.24 31.1 0.50 -12.0 4:21 21:37 81.2 14.85 -5.0 6.73 40.3 -2.05 -18.0 3:27 22:30 134.3 14.85 -5.0 4.96 52.1 -3.15 from 4 values is 4:39 21:18 62.9 14.85 -5.0 7.34 36.9 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 5:43 20:14 0.0 14.55 -4.9 9.49 23.6 2.66 -6.0 5: 7 20:50 35.8 14.55 -4.9 8.30 30.6 0.50 -12.0 4:22 21:34 80.7 14.55 -4.9 6.80 39.7 -2.05 -18.0 3:30 22:27 133.2 14.55 -4.9 5.05 51.3 -3.15 from 4 values is 4:41 21:16 62.4 14.55 -4.9 7.41 36.3 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 109.08 5.65 60.215 -108 -10.70 -6.3 -20.7 -7.3 169.4 12 12 0 110.16 4.77 60.227 -108 -10.70 -6.3 -20.7 -7.3 169.4 12 18 0 111.24 3.90 60.239 -108 -10.70 -6.3 -20.7 -7.3 169.5 12 24 0 112.32 3.03 60.251 -108 -10.70 -6.3 -20.7 -7.3 169.5 12 30 0 113.41 2.17 60.263 -108 -10.70 -6.3 -20.6 -7.3 169.6 12 36 0 114.50 1.32 60.275 -108 -10.69 -6.3 -20.6 -7.3 169.6 12 42 0 115.59 0.48 60.287 -107 -10.69 -6.3 -20.6 -7.3 169.7 12 48 0 116.70 -0.36 60.298 -107 -10.69 -6.3 -20.6 -7.3 169.7 12 54 0 117.80 -1.19 60.309 -107 -10.69 -6.3 -20.6 -7.3 169.8 13 0 0 118.92 -2.01 60.321 -107 -10.69 -6.3 -20.6 -7.3 169.8 13 6 0 120.04 -2.82 60.332 -107 -10.68 -6.3 -20.6 -7.3 169.9 13 12 0 121.17 -3.61 60.342 -107 -10.68 -6.3 -20.6 -7.3 169.9 13 18 0 122.30 -4.40 60.353 -107 -10.68 -6.3 -20.6 -7.3 170.0 13 24 0 123.45 -5.18 60.364 -107 -10.68 -6.3 -20.5 -7.3 170.0 13 30 0 124.60 -5.95 60.374 -107 -10.67 -6.3 -20.5 -7.2 170.1 13 36 0 125.76 -6.71 60.384 -107 -10.67 -6.2 -20.5 -7.2 170.1 13 42 0 126.93 -7.46 60.394 -107 -10.67 -6.2 -20.5 -7.2 170.2 13 48 0 128.10 -8.19 60.404 -107 -10.67 -6.2 -20.5 -7.2 170.2 13 54 0 129.29 -8.91 60.413 -107 -10.67 -6.2 -20.5 -7.2 170.3 14 0 0 130.49 -9.62 60.422 -107 -10.66 -6.2 -20.5 -7.2 170.3 14 6 0 131.69 -10.32 60.431 -107 -10.66 -6.2 -20.5 -7.2 170.4 14 12 0 132.91 -11.00 60.440 -107 -10.66 -6.2 -20.5 -7.2 170.4 14 18 0 134.14 -11.67 60.448 -107 -10.66 -6.2 -20.4 -7.2 170.5 14 24 0 135.38 -12.33 60.456 -107 -10.65 -6.2 -20.4 -7.2 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PhA