Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -25.43 59.39 1.02 9.5E+4 4.9 6.2 182.4 12 12 0 -22.77 59.79 1.02 9.5E+4 4.9 6.2 182.4 12 18 0 -20.05 60.14 1.02 9.5E+4 4.9 6.2 182.3 12 24 0 -17.29 60.46 1.02 9.6E+4 4.9 6.2 182.3 12 30 0 -14.48 60.72 1.02 9.6E+4 4.9 6.2 182.2 12 36 0 -11.64 60.94 1.02 9.6E+4 4.9 6.2 182.2 12 42 0 -8.76 61.12 1.02 9.7E+4 4.9 6.2 182.1 12 48 0 -5.85 61.24 1.02 9.7E+4 4.9 6.2 182.0 12 54 0 -2.94 61.32 1.02 9.7E+4 4.9 6.2 182.0 13 0 0 -0.01 61.34 1.02 9.7E+4 4.9 6.2 181.9 13 6 0 2.92 61.31 1.02 9.7E+4 4.9 6.2 181.9 13 12 0 5.84 61.24 1.02 9.7E+4 4.9 6.2 181.8 13 18 0 8.74 61.11 1.02 9.7E+4 4.9 6.2 181.8 13 24 0 11.62 60.94 1.02 9.6E+4 4.9 6.2 181.7 13 30 0 14.46 60.72 1.02 9.6E+4 4.9 6.2 181.7 13 36 0 17.27 60.45 1.02 9.6E+4 4.9 6.2 181.6 13 42 0 20.03 60.13 1.02 9.5E+4 4.9 6.2 181.5 13 48 0 22.75 59.78 1.02 9.5E+4 4.9 6.2 181.5 13 54 0 25.40 59.38 1.02 9.5E+4 4.9 6.2 181.4 14 0 0 28.01 58.93 1.02 9.4E+4 4.9 6.2 181.4 14 6 0 30.55 58.45 1.02 9.4E+4 4.9 6.2 181.3 14 12 0 33.02 57.94 1.02 9.3E+4 4.9 6.2 181.3 14 18 0 35.44 57.39 1.02 9.2E+4 4.9 6.2 181.2 14 24 0 37.79 56.80 1.02 9.2E+4 4.9 6.2 181.2 14 30 0 40.08 56.18 1.02 9.1E+4 4.9 6.2 181.1 14 36 0 42.30 55.54 1.02 9.0E+4 4.9 6.2 181.1 14 42 0 44.46 54.86 1.02 8.9E+4 4.9 6.2 181.0 14 48 0 46.56 54.16 1.02 8.8E+4 4.9 6.2 180.9 14 54 0 48.60 53.44 1.02 8.7E+4 4.9 6.2 180.9 15 0 0 50.58 52.69 1.02 8.6E+4 4.9 6.2 180.8 15 6 0 52.50 51.92 1.02 8.5E+4 4.9 6.2 180.8 15 12 0 54.37 51.14 1.02 8.4E+4 4.9 6.2 180.7 15 18 0 56.19 50.33 1.02 8.3E+4 4.9 6.2 180.7 15 24 0 57.95 49.51 1.02 8.2E+4 4.9 6.2 180.6 15 30 0 59.67 48.67 1.02 8.1E+4 4.9 6.2 180.6 15 36 0 61.35 47.81 1.02 7.9E+4 4.9 6.2 180.5 15 42 0 62.98 46.95 1.02 7.8E+4 4.9 6.2 180.4 15 48 0 64.57 46.07 1.02 7.7E+4 4.9 6.2 180.4 15 54 0 66.13 45.18 1.02 7.5E+4 4.9 6.2 180.3 16 0 0 67.64 44.27 1.02 7.4E+4 4.9 6.2 180.3 16 6 0 69.12 43.36 1.02 7.2E+4 4.9 6.2 180.2 16 12 0 70.57 42.44 1.02 7.1E+4 4.9 6.2 180.2 16 18 0 71.99 41.51 1.02 6.9E+4 4.9 6.2 180.1 16 24 0 73.38 40.58 1.02 6.8E+4 4.9 6.2 180.1 16 30 0 74.74 39.63 1.02 6.6E+4 4.9 6.2 180.0 16 36 0 76.08 38.68 1.02 6.5E+4 4.9 6.2 180.0 16 42 0 77.39 37.73 1.02 6.3E+4 4.9 6.2 179.9 16 48 0 78.68 36.77 1.02 6.1E+4 4.9 6.2 179.8 16 54 0 79.94 35.81 1.02 6.0E+4 4.9 6.2 179.8 17 0 0 81.19 34.84 1.02 5.8E+4 4.9 6.2 179.7 17 6 0 82.42 33.87 1.02 5.6E+4 4.9 6.2 179.7 17 12 0 83.64 32.90 1.02 5.4E+4 4.9 6.2 179.6 17 18 0 84.83 31.92 1.02 5.3E+4 4.9 6.3 179.6 17 24 0 86.02 30.94 1.02 5.1E+4 4.9 6.3 179.5 17 30 0 87.19 29.96 1.02 4.9E+4 4.9 6.3 179.5 17 36 0 88.34 28.98 1.02 4.7E+4 4.9 6.3 179.4 17 42 0 89.49 28.00 1.02 4.5E+4 4.9 6.3 179.3 17 48 0 90.62 27.02 1.02 4.3E+4 4.9 6.3 179.3 17 54 0 91.75 26.04 1.02 4.1E+4 4.9 6.3 179.2 18 0 0 92.86 25.06 1.02 3.9E+4 4.9 6.3 179.2 18 6 0 93.97 24.08 1.02 3.8E+4 4.9 6.3 179.1 18 12 0 95.07 23.10 1.02 3.6E+4 4.9 6.3 179.1 18 18 0 96.17 22.13 1.02 3.4E+4 4.9 6.3 179.0 18 24 0 97.26 21.16 1.02 3.2E+4 4.9 6.3 179.0 18 30 0 98.34 20.18 1.02 3.0E+4 4.9 6.3 178.9 18 36 0 99.42 19.21 1.02 2.8E+4 4.9 6.3 178.8 18 42 0 100.50 18.25 1.02 2.6E+4 4.9 6.3 178.8 18 48 0 101.57 17.29 1.02 2.4E+4 4.9 6.3 178.7 18 54 0 102.65 16.33 1.02 2.2E+4 4.9 6.3 178.7 19 0 0 103.72 15.37 1.02 2.0E+4 4.9 6.3 178.6 19 6 0 104.79 14.42 1.02 1.9E+4 4.9 6.3 178.6 19 12 0 105.86 13.48 1.02 1.7E+4 4.9 6.3 178.5 19 18 0 106.93 12.54 1.02 1.5E+4 4.9 6.3 178.5 19 24 0 108.00 11.60 1.02 1.3E+4 4.9 6.3 178.4 19 30 0 109.08 10.67 1.02 1.1E+4 4.9 6.3 178.4 19 36 0 110.15 9.75 1.02 9.8E+3 4.9 6.3 178.3 19 42 0 111.23 8.83 1.02 8.3E+3 4.9 6.3 178.2 19 48 0 112.31 7.92 1.02 6.8E+3 4.9 6.3 178.2 19 54 0 113.40 7.01 1.02 5.4E+3 4.9 6.3 178.1 20 0 0 114.49 6.12 1.02 4.1E+3 4.9 6.3 178.1 20 6 0 115.58 5.23 1.02 3.0E+3 4.9 6.3 178.0 20 12 0 116.68 4.35 1.02 2.0E+3 4.9 6.3 178.0 20 18 0 117.78 3.48 1.02 1.2E+3 4.9 6.3 177.9 20 24 0 118.89 2.61 1.02 6.1E+2 4.9 6.3 177.9 20 30 0 120.01 1.76 1.02 2.3E+2 4.9 6.3 177.8 20 36 0 121.13 0.91 1.02 4.9E+1 4.9 6.3 177.7 20 42 0 122.26 0.08 1.02 8.9E-1 4.9 6.3 177.7 20 48 0 123.40 -0.74 1.02 0 4.9 6.3 177.6 20 54 0 124.55 -1.56 1.02 0 4.9 6.3 177.6 21 0 0 125.70 -2.36 1.02 0 4.9 6.3 177.5 21 6 0 126.86 -3.15 1.02 0 4.9 6.3 177.5 21 12 0 128.04 -3.93 1.02 0 4.9 6.3 177.4 21 18 0 129.22 -4.70 1.02 0 4.9 6.3 177.4 21 24 0 130.41 -5.45 1.02 0 4.9 6.3 177.3 21 30 0 131.61 -6.19 1.02 0 4.9 6.3 177.2 21 36 0 132.82 -6.92 1.02 0 4.9 6.3 177.2 21 42 0 134.04 -7.63 1.02 0 4.9 6.3 177.1 21 48 0 135.27 -8.33 1.02 0 4.9 6.3 177.1 21 54 0 136.51 -9.01 1.02 0 4.9 6.3 177.0 22 0 0 137.77 -9.68 1.02 0 4.9 6.3 177.0 22 6 0 139.03 -10.33 1.02 0 4.9 6.3 176.9 22 12 0 140.31 -10.96 1.02 0 4.9 6.3 176.9 22 18 0 141.59 -11.58 1.02 0 4.9 6.3 176.8 22 24 0 142.89 -12.18 1.02 0 4.9 6.3 176.8 22 30 0 144.20 -12.77 1.02 0 4.9 6.3 176.7 22 36 0 145.52 -13.33 1.02 0 4.9 6.3 176.6 22 42 0 146.86 -13.88 1.02 0 4.9 6.3 176.6 22 48 0 148.20 -14.40 1.02 0 4.9 6.3 176.5 22 54 0 149.55 -14.91 1.02 0 4.9 6.4 176.5 23 0 0 150.92 -15.40 1.02 0 4.9 6.4 176.4 23 6 0 152.30 -15.86 1.02 0 4.9 6.4 176.4 23 12 0 153.68 -16.31 1.02 0 4.9 6.4 176.3 23 18 0 155.08 -16.73 1.02 0 4.9 6.4 176.3 23 24 0 156.49 -17.14 1.02 0 4.9 6.4 176.2 23 30 0 157.90 -17.52 1.02 0 4.9 6.4 176.1 23 36 0 159.33 -17.88 1.02 0 4.9 6.4 176.1 23 42 0 160.77 -18.21 1.02 0 4.9 6.4 176.0 23 48 0 162.21 -18.52 1.02 0 4.9 6.4 176.0 23 54 0 163.66 -18.81 1.02 0 4.9 6.4 175.9 0 0 0 165.12 -19.08 1.02 0 4.9 6.4 175.9 0 6 0 166.59 -19.32 1.02 0 4.9 6.4 175.8 0 12 0 168.06 -19.53 1.02 0 4.9 6.4 175.8 0 18 0 169.54 -19.72 1.02 0 4.9 6.4 175.7 0 24 0 171.02 -19.89 1.02 0 4.9 6.4 175.7 0 30 0 172.51 -20.03 1.02 0 4.9 6.4 175.6 0 36 0 174.00 -20.15 1.02 0 4.9 6.4 175.5 0 42 0 175.50 -20.24 1.02 0 4.9 6.4 175.5 0 48 0 176.99 -20.30 1.02 0 4.9 6.4 175.4 0 54 0 178.49 -20.34 1.02 0 4.9 6.4 175.4 1 0 0 179.99 -20.36 1.02 0 4.9 6.4 175.3 1 6 0 -178.51 -20.34 1.02 0 4.9 6.4 175.3 1 12 0 -177.01 -20.31 1.02 0 4.9 6.4 175.2 1 18 0 -175.52 -20.24 1.02 0 4.9 6.4 175.2 1 24 0 -174.02 -20.16 1.02 0 4.9 6.4 175.1 1 30 0 -172.53 -20.04 1.02 0 4.9 6.4 175.0 1 36 0 -171.04 -19.90 1.02 0 4.9 6.4 175.0 1 42 0 -169.56 -19.74 1.02 0 4.9 6.4 174.9 1 48 0 -168.08 -19.55 1.02 0 4.9 6.4 174.9 1 54 0 -166.61 -19.33 1.02 0 4.9 6.4 174.8 2 0 0 -165.14 -19.10 1.02 0 4.9 6.4 174.8 2 6 0 -163.68 -18.83 1.02 0 4.9 6.4 174.7 2 12 0 -162.23 -18.55 1.02 0 4.9 6.4 174.7 2 18 0 -160.78 -18.24 1.02 0 4.9 6.4 174.6 2 24 0 -159.35 -17.90 1.02 0 4.9 6.4 174.5 2 30 0 -157.92 -17.55 1.02 0 4.9 6.4 174.5 2 36 0 -156.50 -17.17 1.02 0 4.9 6.4 174.4 2 42 0 -155.09 -16.77 1.02 0 4.9 6.4 174.4 2 48 0 -153.69 -16.34 1.02 0 4.9 6.4 174.3 2 54 0 -152.31 -15.90 1.02 0 4.9 6.4 174.3 3 0 0 -150.93 -15.43 1.02 0 4.9 6.4 174.2 3 6 0 -149.56 -14.95 1.02 0 4.9 6.4 174.2 3 12 0 -148.20 -14.44 1.02 0 4.9 6.4 174.1 3 18 0 -146.86 -13.92 1.02 0 4.9 6.4 174.1 3 24 0 -145.53 -13.37 1.02 0 4.9 6.4 174.0 3 30 0 -144.20 -12.81 1.02 0 4.9 6.4 173.9 3 36 0 -142.89 -12.23 1.02 0 4.9 6.4 173.9 3 42 0 -141.59 -11.63 1.02 0 4.9 6.4 173.8 3 48 0 -140.31 -11.01 1.02 0 4.9 6.4 173.8 3 54 0 -139.03 -10.38 1.02 0 4.9 6.4 173.7 4 0 0 -137.76 -9.73 1.02 0 4.9 6.4 173.7 4 6 0 -136.51 -9.06 1.02 0 4.9 6.4 173.6 4 12 0 -135.26 -8.38 1.02 0 4.9 6.4 173.6 4 18 0 -134.03 -7.68 1.02 0 4.9 6.4 173.5 4 24 0 -132.81 -6.97 1.02 0 4.9 6.4 173.4 4 30 0 -131.60 -6.25 1.02 0 4.9 6.5 173.4 4 36 0 -130.39 -5.51 1.02 0 4.9 6.5 173.3 4 42 0 -129.20 -4.76 1.02 0 4.9 6.5 173.3 4 48 0 -128.02 -3.99 1.02 0 4.9 6.5 173.2 4 54 0 -126.85 -3.21 1.02 0 4.9 6.5 173.2 5 0 0 -125.68 -2.42 1.02 0 4.9 6.5 173.1 5 6 0 -124.53 -1.62 1.02 0 4.9 6.5 173.1 5 12 0 -123.38 -0.81 1.02 0 4.9 6.5 173.0 5 18 0 -122.24 0.01 1.02 1.1E-1 4.9 6.5 172.9 5 24 0 -121.11 0.85 1.02 4.1E+1 4.9 6.5 172.9 5 30 0 -119.98 1.69 1.02 2.1E+2 4.9 6.5 172.8 5 36 0 -118.86 2.54 1.02 5.7E+2 4.9 6.5 172.8 5 42 0 -117.75 3.40 1.02 1.1E+3 4.9 6.5 172.7 5 48 0 -116.65 4.28 1.02 1.9E+3 4.9 6.5 172.7 5 54 0 -115.54 5.15 1.02 2.9E+3 4.9 6.5 172.6 6 0 0 -114.45 6.04 1.02 4.0E+3 4.9 6.5 172.6 6 6 0 -113.36 6.94 1.02 5.3E+3 4.9 6.5 172.5 6 12 0 -112.27 7.84 1.02 6.7E+3 4.9 6.5 172.5 6 18 0 -111.19 8.75 1.02 8.1E+3 4.9 6.5 172.4 6 24 0 -110.11 9.67 1.02 9.7E+3 4.9 6.5 172.3 6 30 0 -109.03 10.59 1.02 1.1E+4 4.9 6.5 172.3 6 36 0 -107.96 11.52 1.02 1.3E+4 4.9 6.5 172.2 6 42 0 -106.88 12.45 1.02 1.5E+4 4.9 6.5 172.2 6 48 0 -105.81 13.39 1.02 1.7E+4 4.9 6.5 172.1 6 54 0 -104.74 14.34 1.02 1.8E+4 4.9 6.5 172.1 7 0 0 -103.66 15.29 1.02 2.0E+4 4.9 6.5 172.0 7 6 0 -102.59 16.24 1.02 2.2E+4 4.9 6.5 172.0 7 12 0 -101.52 17.20 1.02 2.4E+4 4.9 6.5 171.9 7 18 0 -100.44 18.16 1.02 2.6E+4 4.9 6.5 171.8 7 24 0 -99.36 19.13 1.02 2.8E+4 4.9 6.5 171.8 7 30 0 -98.28 20.09 1.02 3.0E+4 4.9 6.5 171.7 7 36 0 -97.19 21.06 1.02 3.2E+4 4.9 6.5 171.7 7 42 0 -96.10 22.04 1.02 3.4E+4 4.9 6.5 171.6 7 48 0 -95.00 23.01 1.02 3.5E+4 4.9 6.5 171.6 7 54 0 -93.90 23.99 1.02 3.7E+4 4.9 6.5 171.5 8 0 0 -92.79 24.97 1.02 3.9E+4 4.9 6.5 171.5 8 6 0 -91.67 25.95 1.02 4.1E+4 4.9 6.5 171.4 8 12 0 -90.55 26.92 1.02 4.3E+4 4.9 6.5 171.4 8 18 0 -89.41 27.90 1.02 4.5E+4 4.9 6.5 171.3 8 24 0 -88.26 28.88 1.02 4.7E+4 4.9 6.5 171.2 8 30 0 -87.10 29.86 1.02 4.9E+4 4.9 6.5 171.2 8 36 0 -85.93 30.84 1.02 5.1E+4 4.9 6.5 171.1 8 42 0 -84.75 31.82 1.02 5.2E+4 4.9 6.5 171.1 8 48 0 -83.55 32.79 1.02 5.4E+4 4.9 6.5 171.0 8 54 0 -82.33 33.76 1.02 5.6E+4 5.0 6.5 171.0 9 0 0 -81.10 34.73 1.02 5.8E+4 5.0 6.5 170.9 9 6 0 -79.85 35.70 1.02 5.9E+4 5.0 6.5 170.9 9 12 0 -78.58 36.66 1.02 6.1E+4 5.0 6.5 170.8 9 18 0 -77.29 37.62 1.02 6.3E+4 5.0 6.5 170.7 9 24 0 -75.98 38.57 1.02 6.4E+4 5.0 6.5 170.7 9 30 0 -74.64 39.52 1.02 6.6E+4 5.0 6.5 170.6 9 36 0 -73.28 40.46 1.02 6.8E+4 5.0 6.5 170.6 9 42 0 -71.88 41.39 1.02 6.9E+4 5.0 6.5 170.5 9 48 0 -70.47 42.32 1.02 7.1E+4 5.0 6.5 170.5 9 54 0 -69.01 43.24 1.02 7.2E+4 5.0 6.5 170.4 10 0 0 -67.53 44.15 1.02 7.4E+4 5.0 6.5 170.4 10 6 0 -66.01 45.05 1.02 7.5E+4 5.0 6.6 170.3 10 12 0 -64.46 45.94 1.02 7.7E+4 5.0 6.6 170.2 10 18 0 -62.87 46.82 1.02 7.8E+4 5.0 6.6 170.2 10 24 0 -61.24 47.68 1.02 7.9E+4 5.0 6.6 170.1 10 30 0 -59.56 48.53 1.02 8.0E+4 5.0 6.6 170.1 10 36 0 -57.84 49.37 1.02 8.2E+4 5.0 6.6 170.0 10 42 0 -56.07 50.19 1.02 8.3E+4 5.0 6.6 170.0 10 48 0 -54.25 50.99 1.02 8.4E+4 5.0 6.6 169.9 10 54 0 -52.38 51.78 1.02 8.5E+4 5.0 6.6 169.9 11 0 0 -50.46 52.55 1.02 8.6E+4 5.0 6.6 169.8 11 6 0 -48.48 53.29 1.02 8.7E+4 5.0 6.6 169.8 11 12 0 -46.44 54.01 1.02 8.8E+4 5.0 6.6 169.7 11 18 0 -44.35 54.71 1.02 8.9E+4 5.0 6.6 169.6 11 24 0 -42.19 55.38 1.02 9.0E+4 5.0 6.6 169.6 11 30 0 -39.97 56.02 1.02 9.1E+4 5.0 6.6 169.5 11 36 0 -37.69 56.64 1.02 9.1E+4 5.0 6.6 169.5 11 42 0 -35.34 57.22 1.02 9.2E+4 5.0 6.6 169.4 11 48 0 -32.93 57.77 1.02 9.3E+4 5.0 6.6 169.4 11 54 0 -30.46 58.28 1.02 9.3E+4 5.0 6.6 169.3 12 0 0 -27.93 58.76 1.02 9.4E+4 5.0 6.6 169.3 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 5:11 20:49 0.0 20.54 -6.4 8.37 33.6 2.66 -6.0 4:31 21:29 40.1 20.54 -6.4 7.04 41.4 0.50 -12.0 3:37 22:23 94.1 20.54 -6.4 5.24 52.7 -2.05 -18.0 2:20 23:40 170.9 20.54 -6.4 2.68 70.2 -3.15 from 4 values is 3:55 22: 5 76.3 20.54 -6.4 5.83 49.5 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 5:12 20:48 0.0 20.35 -6.5 8.41 33.3 2.66 -6.0 4:32 21:28 40.0 20.35 -6.5 7.08 41.1 0.50 -12.0 3:39 22:21 93.5 20.35 -6.5 5.30 52.2 -2.05 -18.0 2:24 23:36 168.7 20.35 -6.5 2.79 69.4 -3.15 from 4 values is 3:57 22: 3 75.5 20.35 -6.5 5.90 49.0 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 125.61 -43.84 62.168 -157 -12.00 0.1 -17.2 -5.4 118.8 12 12 0 127.27 -44.57 62.175 -156 -12.00 0.1 -17.2 -5.4 118.8 12 18 0 128.95 -45.30 62.182 -156 -12.00 0.1 -17.2 -5.4 118.9 12 24 0 130.68 -46.00 62.188 -156 -12.00 0.1 -17.3 -5.4 118.9 12 30 0 132.44 -46.68 62.195 -156 -12.00 0.1 -17.3 -5.4 119.0 12 36 0 134.24 -47.35 62.201 -156 -11.99 0.1 -17.3 -5.4 119.1 12 42 0 136.08 -47.99 62.206 -156 -11.99 0.1 -17.3 -5.4 119.1 12 48 0 137.96 -48.61 62.211 -156 -11.99 0.1 -17.3 -5.3 119.2 12 54 0 139.88 -49.21 62.216 -156 -11.99 0.1 -17.3 -5.3 119.2 13 0 0 141.84 -49.78 62.221 -156 -11.99 0.1 -17.4 -5.3 119.3 13 6 0 143.84 -50.33 62.225 -156 -11.98 0.1 -17.4 -5.3 119.3 13 12 0 145.88 -50.85 62.228 -156 -11.98 0.1 -17.4 -5.3 119.4 13 18 0 147.96 -51.34 62.232 -156 -11.98 0.0 -17.4 -5.3 119.4 13 24 0 150.08 -51.81 62.235 -156 -11.98 0.0 -17.4 -5.3 119.5 13 30 0 152.24 -52.24 62.237 -156 -11.98 0.0 -17.4 -5.3 119.5 13 36 0 154.43 -52.64 62.240 -156 -11.98 0.0 -17.4 -5.3 119.6 13 42 0 156.66 -53.01 62.241 -156 -11.97 0.0 -17.5 -5.2 119.6 13 48 0 158.92 -53.34 62.243 -156 -11.97 0.0 -17.5 -5.2 119.7 13 54 0 161.21 -53.64 62.244 -155 -11.97 0.0 -17.5 -5.2 119.7 14 0 0 163.53 -53.90 62.244 -155 -11.97 0.0 -17.5 -5.2 119.8 14 6 0 165.88 -54.13 62.244 -155 -11.97 0.0 -17.5 -5.2 119.8 14 12 0 168.24 -54.32 62.244 -155 -11.97 0.0 -17.5 -5.2 119.9 14 18 0 170.63 -54.47 62.244 -155 -11.96 0.0 -17.6 -5.2 119.9 14 24 0 173.03 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PhA