Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 7.25 22.58 0.99 3.6E+4 3.1 21.9 37.6 12 12 0 8.79 22.44 0.99 3.6E+4 3.1 21.9 37.5 12 18 0 10.32 22.28 0.99 3.6E+4 3.1 21.9 37.5 12 24 0 11.85 22.09 0.99 3.5E+4 3.1 21.9 37.4 12 30 0 13.37 21.87 0.99 3.5E+4 3.1 21.9 37.4 12 36 0 14.88 21.63 0.99 3.5E+4 3.1 21.9 37.3 12 42 0 16.39 21.37 0.99 3.4E+4 3.1 21.9 37.3 12 48 0 17.89 21.08 0.99 3.3E+4 3.1 21.9 37.2 12 54 0 19.38 20.76 0.99 3.3E+4 3.1 21.9 37.1 13 0 0 20.86 20.42 0.99 3.2E+4 3.1 21.9 37.1 13 6 0 22.33 20.06 0.99 3.1E+4 3.1 21.9 37.0 13 12 0 23.79 19.68 0.99 3.0E+4 3.1 21.9 37.0 13 18 0 25.24 19.27 0.99 3.0E+4 3.1 21.9 36.9 13 24 0 26.68 18.84 0.99 2.9E+4 3.1 21.9 36.9 13 30 0 28.11 18.39 0.99 2.8E+4 3.1 21.9 36.8 13 36 0 29.53 17.91 0.99 2.7E+4 3.1 21.9 36.8 13 42 0 30.93 17.42 0.99 2.6E+4 3.1 21.9 36.7 13 48 0 32.33 16.90 0.99 2.5E+4 3.1 21.9 36.7 13 54 0 33.71 16.37 0.99 2.4E+4 3.1 21.9 36.6 14 0 0 35.07 15.81 0.99 2.2E+4 3.0 21.9 36.5 14 6 0 36.43 15.24 0.99 2.1E+4 3.0 21.9 36.5 14 12 0 37.77 14.65 0.99 2.0E+4 3.0 21.9 36.4 14 18 0 39.10 14.04 0.99 1.9E+4 3.0 21.9 36.4 14 24 0 40.42 13.41 0.99 1.7E+4 3.0 21.9 36.3 14 30 0 41.73 12.77 0.99 1.6E+4 3.0 21.9 36.3 14 36 0 43.02 12.10 0.99 1.5E+4 3.0 21.9 36.2 14 42 0 44.31 11.43 0.99 1.4E+4 3.0 21.9 36.2 14 48 0 45.58 10.73 0.99 1.2E+4 3.0 21.9 36.1 14 54 0 46.84 10.02 0.99 1.1E+4 3.0 21.9 36.1 15 0 0 48.08 9.30 0.99 9.6E+3 3.0 21.9 36.0 15 6 0 49.32 8.56 0.99 8.3E+3 3.0 21.9 35.9 15 12 0 50.55 7.81 0.99 7.0E+3 3.0 21.9 35.9 15 18 0 51.76 7.05 0.99 5.7E+3 3.0 21.9 35.8 15 24 0 52.97 6.27 0.99 4.6E+3 3.0 21.9 35.8 15 30 0 54.16 5.48 0.99 3.5E+3 3.0 21.9 35.7 15 36 0 55.35 4.68 0.99 2.5E+3 3.0 21.9 35.7 15 42 0 56.52 3.87 0.99 1.6E+3 3.0 21.9 35.6 15 48 0 57.69 3.04 0.99 9.2E+2 3.0 21.9 35.6 15 54 0 58.85 2.21 0.99 4.2E+2 3.0 21.9 35.5 16 0 0 60.00 1.37 0.99 1.3E+2 3.0 21.9 35.4 16 6 0 61.14 0.51 0.99 1.5E+1 3.0 21.9 35.4 16 12 0 62.28 -0.35 0.99 0 3.0 21.9 35.3 16 18 0 63.40 -1.23 0.99 0 3.0 21.9 35.3 16 24 0 64.53 -2.11 0.99 0 3.0 21.9 35.2 16 30 0 65.64 -3.00 0.99 0 3.0 21.9 35.2 16 36 0 66.75 -3.89 0.99 0 3.0 21.9 35.1 16 42 0 67.86 -4.80 0.99 0 3.0 21.9 35.1 16 48 0 68.96 -5.71 0.99 0 3.0 21.9 35.0 16 54 0 70.06 -6.63 0.99 0 3.0 21.9 35.0 17 0 0 71.15 -7.56 0.99 0 3.0 21.9 34.9 17 6 0 72.24 -8.49 0.99 0 3.0 21.9 34.8 17 12 0 73.33 -9.42 0.99 0 3.0 21.9 34.8 17 18 0 74.42 -10.37 0.99 0 3.0 21.9 34.7 17 24 0 75.51 -11.31 0.99 0 3.0 21.9 34.7 17 30 0 76.59 -12.27 0.99 0 3.0 21.9 34.6 17 36 0 77.68 -13.22 0.99 0 3.0 21.9 34.6 17 42 0 78.76 -14.18 0.99 0 3.0 21.9 34.5 17 48 0 79.85 -15.15 0.99 0 3.0 21.9 34.5 17 54 0 80.94 -16.11 0.99 0 3.0 21.9 34.4 18 0 0 82.03 -17.08 0.99 0 3.0 21.9 34.3 18 6 0 83.12 -18.06 0.99 0 3.0 21.9 34.3 18 12 0 84.22 -19.03 0.99 0 3.0 21.9 34.2 18 18 0 85.33 -20.01 0.99 0 3.0 21.9 34.2 18 24 0 86.43 -20.98 0.99 0 3.0 21.9 34.1 18 30 0 87.55 -21.96 0.99 0 3.0 21.9 34.1 18 36 0 88.67 -22.94 0.99 0 3.0 21.9 34.0 18 42 0 89.80 -23.93 0.99 0 3.0 21.9 34.0 18 48 0 90.94 -24.91 0.99 0 3.0 21.8 33.9 18 54 0 92.08 -25.89 0.99 0 3.0 21.8 33.9 19 0 0 93.24 -26.87 0.99 0 3.0 21.8 33.8 19 6 0 94.41 -27.85 0.99 0 3.0 21.8 33.7 19 12 0 95.59 -28.82 0.99 0 3.0 21.8 33.7 19 18 0 96.78 -29.80 0.99 0 3.0 21.8 33.6 19 24 0 97.99 -30.77 0.99 0 3.0 21.8 33.6 19 30 0 99.21 -31.74 0.99 0 3.0 21.8 33.5 19 36 0 100.46 -32.71 0.99 0 3.0 21.8 33.5 19 42 0 101.71 -33.67 0.99 0 3.0 21.8 33.4 19 48 0 102.99 -34.63 0.99 0 3.0 21.8 33.4 19 54 0 104.29 -35.58 0.99 0 3.0 21.8 33.3 20 0 0 105.60 -36.53 0.99 0 3.0 21.8 33.2 20 6 0 106.95 -37.47 0.99 0 3.0 21.8 33.2 20 12 0 108.31 -38.40 0.99 0 3.0 21.8 33.1 20 18 0 109.70 -39.33 0.99 0 3.0 21.8 33.1 20 24 0 111.12 -40.25 0.99 0 3.0 21.8 33.0 20 30 0 112.57 -41.16 0.99 0 3.0 21.8 33.0 20 36 0 114.05 -42.06 0.99 0 3.0 21.8 32.9 20 42 0 115.56 -42.95 0.99 0 3.0 21.8 32.9 20 48 0 117.11 -43.83 0.99 0 3.0 21.8 32.8 20 54 0 118.69 -44.70 0.99 0 3.0 21.8 32.8 21 0 0 120.31 -45.55 0.99 0 3.0 21.8 32.7 21 6 0 121.97 -46.39 0.99 0 3.0 21.8 32.6 21 12 0 123.67 -47.22 0.99 0 3.0 21.8 32.6 21 18 0 125.41 -48.03 0.99 0 3.0 21.8 32.5 21 24 0 127.20 -48.82 0.99 0 3.0 21.8 32.5 21 30 0 129.03 -49.59 0.99 0 3.0 21.8 32.4 21 36 0 130.92 -50.34 0.99 0 3.0 21.8 32.4 21 42 0 132.85 -51.07 0.99 0 3.0 21.8 32.3 21 48 0 134.84 -51.78 0.99 0 3.0 21.8 32.3 21 54 0 136.88 -52.46 0.99 0 3.0 21.8 32.2 22 0 0 138.97 -53.12 0.99 0 3.0 21.8 32.2 22 6 0 141.12 -53.75 0.99 0 3.0 21.8 32.1 22 12 0 143.32 -54.35 0.99 0 3.0 21.8 32.0 22 18 0 145.58 -54.92 0.99 0 3.0 21.8 32.0 22 24 0 147.89 -55.46 0.99 0 3.0 21.8 31.9 22 30 0 150.26 -55.97 0.99 0 3.0 21.8 31.9 22 36 0 152.68 -56.43 0.99 0 3.0 21.8 31.8 22 42 0 155.15 -56.87 0.99 0 3.0 21.8 31.8 22 48 0 157.67 -57.26 0.99 0 3.0 21.8 31.7 22 54 0 160.24 -57.61 0.99 0 3.0 21.8 31.7 23 0 0 162.85 -57.92 0.99 0 3.0 21.8 31.6 23 6 0 165.50 -58.19 0.99 0 3.0 21.8 31.5 23 12 0 168.18 -58.42 0.99 0 3.0 21.8 31.5 23 18 0 170.89 -58.60 0.99 0 3.0 21.8 31.4 23 24 0 173.62 -58.73 0.99 0 3.0 21.8 31.4 23 30 0 176.36 -58.82 0.99 0 3.0 21.8 31.3 23 36 0 179.12 -58.86 0.99 0 3.0 21.8 31.3 23 42 0 -178.13 -58.85 0.99 0 3.0 21.8 31.2 23 48 0 -175.37 -58.79 0.99 0 3.0 21.8 31.2 23 54 0 -172.63 -58.69 0.99 0 3.0 21.8 31.1 0 0 0 -169.91 -58.55 0.99 0 3.0 21.8 31.1 0 6 0 -167.21 -58.35 0.99 0 3.0 21.8 31.0 0 12 0 -164.54 -58.11 0.99 0 3.0 21.8 30.9 0 18 0 -161.90 -57.83 0.99 0 3.0 21.8 30.9 0 24 0 -159.31 -57.51 0.99 0 3.0 21.8 30.8 0 30 0 -156.75 -57.14 0.99 0 3.0 21.8 30.8 0 36 0 -154.25 -56.74 0.99 0 3.0 21.8 30.7 0 42 0 -151.79 -56.29 0.99 0 3.0 21.8 30.7 0 48 0 -149.39 -55.81 0.99 0 3.0 21.8 30.6 0 54 0 -147.04 -55.30 0.99 0 3.0 21.8 30.6 1 0 0 -144.74 -54.75 0.99 0 3.0 21.8 30.5 1 6 0 -142.50 -54.17 0.99 0 3.0 21.8 30.4 1 12 0 -140.31 -53.56 0.99 0 3.0 21.8 30.4 1 18 0 -138.18 -52.92 0.99 0 3.0 21.8 30.3 1 24 0 -136.11 -52.25 0.99 0 3.0 21.8 30.3 1 30 0 -134.09 -51.56 0.99 0 3.0 21.8 30.2 1 36 0 -132.12 -50.85 0.99 0 3.0 21.8 30.2 1 42 0 -130.20 -50.11 0.99 0 3.0 21.8 30.1 1 48 0 -128.33 -49.35 0.99 0 3.0 21.8 30.1 1 54 0 -126.51 -48.58 0.99 0 3.0 21.8 30.0 2 0 0 -124.74 -47.78 0.99 0 3.0 21.8 30.0 2 6 0 -123.01 -46.97 0.99 0 3.0 21.8 29.9 2 12 0 -121.32 -46.14 0.99 0 3.0 21.8 29.8 2 18 0 -119.67 -45.29 0.99 0 3.0 21.8 29.8 2 24 0 -118.06 -44.44 0.99 0 3.0 21.8 29.7 2 30 0 -116.49 -43.57 0.99 0 3.0 21.8 29.7 2 36 0 -114.96 -42.69 0.99 0 3.0 21.8 29.6 2 42 0 -113.46 -41.79 0.99 0 3.0 21.8 29.6 2 48 0 -111.99 -40.89 0.99 0 3.0 21.8 29.5 2 54 0 -110.55 -39.98 0.99 0 3.0 21.8 29.5 3 0 0 -109.14 -39.06 0.99 0 3.0 21.8 29.4 3 6 0 -107.76 -38.13 0.99 0 3.0 21.8 29.3 3 12 0 -106.40 -37.19 0.99 0 3.0 21.8 29.3 3 18 0 -105.06 -36.25 0.99 0 3.0 21.8 29.2 3 24 0 -103.75 -35.30 0.99 0 3.0 21.8 29.2 3 30 0 -102.46 -34.35 0.99 0 3.0 21.8 29.1 3 36 0 -101.19 -33.39 0.99 0 3.0 21.8 29.1 3 42 0 -99.94 -32.43 0.99 0 3.0 21.8 29.0 3 48 0 -98.70 -31.46 0.99 0 3.0 21.8 29.0 3 54 0 -97.48 -30.49 0.99 0 3.0 21.7 28.9 4 0 0 -96.28 -29.52 0.99 0 3.0 21.7 28.9 4 6 0 -95.09 -28.54 0.99 0 3.0 21.7 28.8 4 12 0 -93.91 -27.57 0.99 0 3.0 21.7 28.7 4 18 0 -92.74 -26.59 0.99 0 3.0 21.7 28.7 4 24 0 -91.59 -25.61 0.99 0 3.0 21.7 28.6 4 30 0 -90.45 -24.63 0.99 0 3.0 21.7 28.6 4 36 0 -89.31 -23.65 0.99 0 3.0 21.7 28.5 4 42 0 -88.18 -22.67 0.99 0 3.0 21.7 28.5 4 48 0 -87.06 -21.70 0.99 0 3.0 21.7 28.4 4 54 0 -85.95 -20.72 0.99 0 3.0 21.7 28.4 5 0 0 -84.84 -19.74 0.99 0 3.0 21.7 28.3 5 6 0 -83.74 -18.77 0.99 0 3.0 21.7 28.3 5 12 0 -82.64 -17.80 0.99 0 3.0 21.7 28.2 5 18 0 -81.55 -16.83 0.99 0 3.0 21.7 28.1 5 24 0 -80.46 -15.86 0.99 0 3.0 21.7 28.1 5 30 0 -79.37 -14.89 0.99 0 3.0 21.7 28.0 5 36 0 -78.28 -13.93 0.99 0 3.0 21.7 28.0 5 42 0 -77.20 -12.98 0.99 0 3.0 21.7 27.9 5 48 0 -76.11 -12.02 0.99 0 3.0 21.7 27.9 5 54 0 -75.02 -11.08 0.99 0 3.0 21.7 27.8 6 0 0 -73.94 -10.13 0.99 0 3.0 21.7 27.8 6 6 0 -72.85 -9.19 0.99 0 3.0 21.7 27.7 6 12 0 -71.76 -8.26 0.99 0 3.0 21.7 27.6 6 18 0 -70.66 -7.33 0.99 0 3.0 21.7 27.6 6 24 0 -69.57 -6.41 0.99 0 3.0 21.7 27.5 6 30 0 -68.47 -5.50 0.99 0 3.0 21.7 27.5 6 36 0 -67.37 -4.59 0.99 0 3.0 21.7 27.4 6 42 0 -66.26 -3.69 0.99 0 3.0 21.7 27.4 6 48 0 -65.14 -2.80 0.99 0 3.0 21.7 27.3 6 54 0 -64.03 -1.91 0.99 0 3.0 21.7 27.3 7 0 0 -62.90 -1.04 0.99 0 3.0 21.7 27.2 7 6 0 -61.77 -0.17 0.99 0 3.0 21.7 27.2 7 12 0 -60.63 0.69 0.99 2.8E+1 3.0 21.7 27.1 7 18 0 -59.49 1.53 0.99 1.7E+2 3.0 21.7 27.0 7 24 0 -58.33 2.37 0.99 5.0E+2 3.0 21.7 27.0 7 30 0 -57.17 3.20 0.99 1.0E+3 3.0 21.7 26.9 7 36 0 -56.00 4.02 0.99 1.8E+3 3.0 21.7 26.9 7 42 0 -54.82 4.82 0.99 2.6E+3 3.0 21.7 26.8 7 48 0 -53.63 5.62 0.99 3.6E+3 3.0 21.7 26.8 7 54 0 -52.44 6.40 0.99 4.7E+3 3.0 21.7 26.7 8 0 0 -51.23 7.17 0.99 5.9E+3 3.0 21.7 26.7 8 6 0 -50.01 7.93 0.99 7.2E+3 3.0 21.7 26.6 8 12 0 -48.78 8.67 0.99 8.4E+3 3.0 21.7 26.5 8 18 0 -47.54 9.40 0.99 9.7E+3 3.0 21.7 26.5 8 24 0 -46.29 10.11 0.99 1.1E+4 3.0 21.7 26.4 8 30 0 -45.03 10.81 0.99 1.2E+4 3.0 21.7 26.4 8 36 0 -43.75 11.50 0.99 1.4E+4 3.0 21.7 26.3 8 42 0 -42.47 12.17 0.99 1.5E+4 3.0 21.7 26.3 8 48 0 -41.17 12.82 0.99 1.6E+4 3.0 21.7 26.2 8 54 0 -39.86 13.45 0.99 1.8E+4 3.0 21.7 26.2 9 0 0 -38.54 14.07 0.99 1.9E+4 3.0 21.7 26.1 9 6 0 -37.20 14.67 0.99 2.0E+4 3.0 21.7 26.1 9 12 0 -35.86 15.26 0.99 2.1E+4 3.0 21.7 26.0 9 18 0 -34.50 15.82 0.99 2.2E+4 3.0 21.7 25.9 9 24 0 -33.13 16.36 0.99 2.4E+4 3.0 21.7 25.9 9 30 0 -31.74 16.89 0.99 2.5E+4 3.0 21.7 25.8 9 36 0 -30.35 17.39 0.99 2.6E+4 3.0 21.7 25.8 9 42 0 -28.94 17.88 0.99 2.7E+4 3.0 21.7 25.7 9 48 0 -27.53 18.34 0.99 2.8E+4 3.0 21.7 25.7 9 54 0 -26.10 18.78 0.99 2.9E+4 3.0 21.7 25.6 10 0 0 -24.66 19.20 0.99 2.9E+4 3.0 21.7 25.6 10 6 0 -23.20 19.60 0.99 3.0E+4 3.0 21.7 25.5 10 12 0 -21.74 19.97 0.99 3.1E+4 3.0 21.7 25.4 10 18 0 -20.27 20.32 0.99 3.2E+4 3.0 21.7 25.4 10 24 0 -18.79 20.65 0.99 3.2E+4 3.0 21.7 25.3 10 30 0 -17.30 20.95 0.99 3.3E+4 3.0 21.7 25.3 10 36 0 -15.80 21.23 0.99 3.4E+4 3.0 21.7 25.2 10 42 0 -14.30 21.48 0.99 3.4E+4 2.9 21.7 25.2 10 48 0 -12.78 21.71 0.99 3.5E+4 2.9 21.7 25.1 10 54 0 -11.27 21.91 0.99 3.5E+4 2.9 21.7 25.1 11 0 0 -9.74 22.09 0.99 3.5E+4 2.9 21.7 25.0 11 6 0 -8.21 22.24 0.99 3.6E+4 2.9 21.7 25.0 11 12 0 -6.68 22.37 0.99 3.6E+4 2.9 21.7 24.9 11 18 0 -5.14 22.47 0.99 3.6E+4 2.9 21.7 24.8 11 24 0 -3.60 22.54 0.99 3.6E+4 2.9 21.7 24.8 11 30 0 -2.06 22.59 0.99 3.7E+4 2.9 21.7 24.7 11 36 0 -0.51 22.61 0.99 3.7E+4 2.9 21.7 24.7 11 42 0 1.03 22.60 0.99 3.7E+4 2.9 21.7 24.6 11 48 0 2.57 22.57 0.99 3.6E+4 2.9 21.7 24.6 11 54 0 4.11 22.51 0.99 3.6E+4 2.9 21.7 24.5 12 0 0 5.65 22.43 0.99 3.6E+4 2.9 21.7 24.5 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7: 0 16:15 0.0 -17.93 15.7 14.75 -27.1 2.66 -6.0 6:26 16:50 34.8 -17.93 15.7 13.59 -20.6 0.50 -12.0 5:47 17:29 73.3 -17.93 15.7 12.31 -13.6 -2.05 -18.0 5:10 18: 6 110.6 -17.93 15.7 11.06 -6.8 -3.15 from 4 values is 6: 6 17:10 54.7 -17.93 15.7 12.93 -17.0 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7: 2 16:14 0.0 -18.19 15.6 14.80 -27.5 2.66 -6.0 6:27 16:49 34.9 -18.19 15.6 13.63 -21.0 0.50 -12.0 5:49 17:27 73.5 -18.19 15.6 12.35 -14.0 -2.05 -18.0 5:11 18: 5 110.9 -18.19 15.6 11.10 -7.2 -3.15 from 4 values is 6: 7 17: 9 54.8 -18.19 15.6 12.97 -17.4 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 157.63 -16.08 62.764 -151 -11.90 1.3 -6.1 -4.8 123.3 12 12 0 158.97 -16.43 62.768 -151 -11.90 1.3 -6.1 -4.7 123.4 12 18 0 160.31 -16.76 62.772 -151 -11.90 1.4 -6.0 -4.7 123.4 12 24 0 161.67 -17.06 62.775 -151 -11.90 1.4 -6.0 -4.7 123.5 12 30 0 163.03 -17.35 62.778 -151 -11.90 1.4 -6.0 -4.7 123.5 12 36 0 164.39 -17.61 62.780 -151 -11.89 1.4 -5.9 -4.7 123.6 12 42 0 165.77 -17.86 62.783 -151 -11.89 1.4 -5.9 -4.7 123.6 12 48 0 167.15 -18.08 62.784 -151 -11.89 1.4 -5.9 -4.7 123.7 12 54 0 168.53 -18.28 62.786 -151 -11.89 1.4 -5.9 -4.7 123.7 13 0 0 169.92 -18.46 62.787 -151 -11.89 1.4 -5.8 -4.7 123.8 13 6 0 171.32 -18.61 62.788 -151 -11.89 1.4 -5.8 -4.7 123.8 13 12 0 172.71 -18.74 62.788 -151 -11.88 1.4 -5.8 -4.6 123.9 13 18 0 174.12 -18.85 62.788 -151 -11.88 1.4 -5.7 -4.6 123.9 13 24 0 175.52 -18.94 62.788 -151 -11.88 1.5 -5.7 -4.6 124.0 13 30 0 176.92 -19.00 62.787 -151 -11.88 1.5 -5.7 -4.6 124.0 13 36 0 178.33 -19.04 62.785 -150 -11.88 1.5 -5.7 -4.6 124.1 13 42 0 179.74 -19.06 62.784 -150 -11.88 1.5 -5.6 -4.6 124.1 13 48 0 -178.85 -19.05 62.782 -150 -11.87 1.5 -5.6 -4.6 124.2 13 54 0 -177.45 -19.02 62.780 -150 -11.87 1.5 -5.6 -4.6 124.2 14 0 0 -176.04 -18.97 62.777 -150 -11.87 1.5 -5.6 -4.6 124.3 14 6 0 -174.64 -18.89 62.774 -150 -11.87 1.5 -5.5 -4.5 124.3 14 12 0 -173.23 -18.79 62.770 -150 -11.87 1.5 -5.5 -4.5 124.4 14 18 0 -171.84 -18.67 62.766 -150 -11.87 1.5 -5.5 -4.5 124.4 14 24 0 -170.44 -18.53 62.762 -150 -11.87 1.5 -5.4 -4.5 124.5 14 30 0 -169.05 -18.36 62.757 -150 -11.86 1.5 -5.4 -4.5 124.5 14 36 0 -167.66 -18.17 62.752 -150 -11.86 1.5 -5.4 -4.5 124.6 14 42 0 -166.28 -17.96 62.747 -150 -11.86 1.5 -5.4 -4.5 124.6 14 48 0 -164.90 -17.73 62.741 -150 -11.86 1.6 -5.3 -4.5 124.7 14 54 0 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PhA