Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -0.11 32.42 0.99 5.6E+4 -7.2 -21.0 218.9 12 12 0 1.65 32.41 0.99 5.6E+4 -7.2 -21.1 218.8 12 18 0 3.40 32.37 0.99 5.6E+4 -7.2 -21.1 218.8 12 24 0 5.16 32.29 0.99 5.6E+4 -7.2 -21.1 218.7 12 30 0 6.91 32.19 0.99 5.6E+4 -7.2 -21.1 218.7 12 36 0 8.65 32.06 0.99 5.6E+4 -7.2 -21.1 218.6 12 42 0 10.39 31.90 0.99 5.5E+4 -7.2 -21.1 218.6 12 48 0 12.12 31.71 0.99 5.5E+4 -7.2 -21.1 218.5 12 54 0 13.85 31.49 0.99 5.5E+4 -7.2 -21.1 218.5 13 0 0 15.56 31.25 0.99 5.4E+4 -7.2 -21.1 218.4 13 6 0 17.27 30.97 0.99 5.3E+4 -7.2 -21.1 218.4 13 12 0 18.96 30.67 0.99 5.3E+4 -7.2 -21.1 218.3 13 18 0 20.64 30.34 0.99 5.2E+4 -7.2 -21.1 218.2 13 24 0 22.30 29.98 0.99 5.2E+4 -7.2 -21.1 218.2 13 30 0 23.96 29.60 0.99 5.1E+4 -7.2 -21.1 218.1 13 36 0 25.59 29.19 0.99 5.0E+4 -7.2 -21.1 218.1 13 42 0 27.21 28.75 0.99 4.9E+4 -7.2 -21.1 218.0 13 48 0 28.82 28.29 0.99 4.8E+4 -7.2 -21.1 218.0 13 54 0 30.41 27.81 0.99 4.7E+4 -7.2 -21.1 217.9 14 0 0 31.99 27.30 0.99 4.6E+4 -7.2 -21.1 217.9 14 6 0 33.54 26.77 0.99 4.5E+4 -7.2 -21.1 217.8 14 12 0 35.08 26.22 0.99 4.4E+4 -7.2 -21.1 217.7 14 18 0 36.61 25.65 0.99 4.3E+4 -7.2 -21.1 217.7 14 24 0 38.11 25.06 0.99 4.2E+4 -7.2 -21.1 217.6 14 30 0 39.60 24.44 0.99 4.0E+4 -7.2 -21.1 217.6 14 36 0 41.07 23.81 0.99 3.9E+4 -7.2 -21.1 217.5 14 42 0 42.52 23.16 0.99 3.8E+4 -7.2 -21.1 217.5 14 48 0 43.96 22.49 0.99 3.6E+4 -7.2 -21.1 217.4 14 54 0 45.38 21.80 0.99 3.5E+4 -7.2 -21.1 217.4 15 0 0 46.78 21.10 0.99 3.3E+4 -7.2 -21.1 217.3 15 6 0 48.17 20.37 0.99 3.2E+4 -7.2 -21.1 217.3 15 12 0 49.54 19.64 0.99 3.0E+4 -7.2 -21.1 217.2 15 18 0 50.90 18.89 0.99 2.9E+4 -7.2 -21.1 217.1 15 24 0 52.24 18.12 0.99 2.7E+4 -7.2 -21.1 217.1 15 30 0 53.57 17.34 0.99 2.6E+4 -7.2 -21.1 217.0 15 36 0 54.88 16.54 0.99 2.4E+4 -7.2 -21.1 217.0 15 42 0 56.17 15.74 0.99 2.2E+4 -7.2 -21.1 216.9 15 48 0 57.46 14.92 0.99 2.1E+4 -7.2 -21.1 216.9 15 54 0 58.73 14.09 0.99 1.9E+4 -7.2 -21.1 216.8 16 0 0 59.99 13.25 0.99 1.7E+4 -7.2 -21.1 216.8 16 6 0 61.23 12.39 0.99 1.5E+4 -7.2 -21.1 216.7 16 12 0 62.47 11.53 0.99 1.4E+4 -7.2 -21.1 216.6 16 18 0 63.69 10.66 0.99 1.2E+4 -7.2 -21.1 216.6 16 24 0 64.90 9.78 0.99 1.0E+4 -7.2 -21.1 216.5 16 30 0 66.11 8.88 0.99 8.8E+3 -7.2 -21.1 216.5 16 36 0 67.30 7.99 0.99 7.3E+3 -7.2 -21.1 216.4 16 42 0 68.49 7.08 0.99 5.8E+3 -7.2 -21.1 216.4 16 48 0 69.66 6.16 0.99 4.4E+3 -7.2 -21.1 216.3 16 54 0 70.83 5.24 0.99 3.1E+3 -7.2 -21.1 216.3 17 0 0 72.00 4.32 0.99 2.1E+3 -7.2 -21.1 216.2 17 6 0 73.15 3.38 0.99 1.2E+3 -7.2 -21.1 216.2 17 12 0 74.30 2.44 0.99 5.4E+2 -7.2 -21.1 216.1 17 18 0 75.45 1.50 0.99 1.6E+2 -7.2 -21.1 216.0 17 24 0 76.59 0.55 0.99 1.7E+1 -7.2 -21.1 216.0 17 30 0 77.73 -0.41 0.99 0 -7.2 -21.1 215.9 17 36 0 78.86 -1.37 0.99 0 -7.2 -21.1 215.9 17 42 0 79.99 -2.33 0.99 0 -7.2 -21.1 215.8 17 48 0 81.12 -3.29 0.99 0 -7.2 -21.1 215.8 17 54 0 82.25 -4.26 0.99 0 -7.2 -21.1 215.7 18 0 0 83.37 -5.23 0.99 0 -7.2 -21.1 215.7 18 6 0 84.50 -6.21 0.99 0 -7.2 -21.1 215.6 18 12 0 85.63 -7.18 0.99 0 -7.2 -21.1 215.6 18 18 0 86.75 -8.16 0.99 0 -7.2 -21.1 215.5 18 24 0 87.88 -9.14 0.99 0 -7.2 -21.1 215.4 18 30 0 89.02 -10.12 0.99 0 -7.2 -21.1 215.4 18 36 0 90.15 -11.10 0.99 0 -7.2 -21.1 215.3 18 42 0 91.29 -12.08 0.99 0 -7.2 -21.1 215.3 18 48 0 92.43 -13.05 0.99 0 -7.2 -21.1 215.2 18 54 0 93.58 -14.03 0.99 0 -7.2 -21.1 215.2 19 0 0 94.74 -15.01 0.99 0 -7.2 -21.1 215.1 19 6 0 95.90 -15.98 0.99 0 -7.2 -21.1 215.1 19 12 0 97.07 -16.96 0.99 0 -7.2 -21.1 215.0 19 18 0 98.25 -17.93 0.99 0 -7.2 -21.1 214.9 19 24 0 99.44 -18.89 0.99 0 -7.2 -21.1 214.9 19 30 0 100.63 -19.86 0.99 0 -7.2 -21.1 214.8 19 36 0 101.84 -20.82 0.99 0 -7.2 -21.1 214.8 19 42 0 103.06 -21.77 0.99 0 -7.2 -21.1 214.7 19 48 0 104.29 -22.73 0.99 0 -7.2 -21.1 214.7 19 54 0 105.53 -23.67 0.99 0 -7.2 -21.1 214.6 20 0 0 106.79 -24.61 0.99 0 -7.2 -21.1 214.6 20 6 0 108.07 -25.55 0.99 0 -7.2 -21.1 214.5 20 12 0 109.36 -26.47 0.99 0 -7.2 -21.1 214.5 20 18 0 110.67 -27.39 0.99 0 -7.2 -21.1 214.4 20 24 0 111.99 -28.30 0.99 0 -7.2 -21.1 214.3 20 30 0 113.33 -29.21 0.99 0 -7.2 -21.1 214.3 20 36 0 114.70 -30.10 0.99 0 -7.2 -21.1 214.2 20 42 0 116.08 -30.99 0.99 0 -7.2 -21.1 214.2 20 48 0 117.49 -31.86 0.99 0 -7.2 -21.1 214.1 20 54 0 118.92 -32.72 0.99 0 -7.2 -21.1 214.1 21 0 0 120.37 -33.57 0.99 0 -7.2 -21.1 214.0 21 6 0 121.85 -34.41 0.99 0 -7.2 -21.1 214.0 21 12 0 123.36 -35.24 0.99 0 -7.2 -21.1 213.9 21 18 0 124.89 -36.05 0.99 0 -7.2 -21.2 213.8 21 24 0 126.45 -36.84 0.99 0 -7.2 -21.2 213.8 21 30 0 128.03 -37.62 0.99 0 -7.2 -21.2 213.7 21 36 0 129.65 -38.38 0.99 0 -7.2 -21.2 213.7 21 42 0 131.30 -39.13 0.99 0 -7.2 -21.2 213.6 21 48 0 132.98 -39.85 0.99 0 -7.2 -21.2 213.6 21 54 0 134.69 -40.56 0.99 0 -7.2 -21.2 213.5 22 0 0 136.43 -41.24 0.99 0 -7.2 -21.2 213.5 22 6 0 138.20 -41.91 0.99 0 -7.2 -21.2 213.4 22 12 0 140.01 -42.55 0.99 0 -7.2 -21.2 213.4 22 18 0 141.86 -43.16 0.99 0 -7.2 -21.2 213.3 22 24 0 143.73 -43.75 0.99 0 -7.2 -21.2 213.2 22 30 0 145.64 -44.32 0.99 0 -7.2 -21.2 213.2 22 36 0 147.59 -44.86 0.99 0 -7.2 -21.2 213.1 22 42 0 149.56 -45.37 0.99 0 -7.2 -21.2 213.1 22 48 0 151.57 -45.85 0.99 0 -7.2 -21.2 213.0 22 54 0 153.61 -46.30 0.99 0 -7.2 -21.2 213.0 23 0 0 155.68 -46.71 0.99 0 -7.2 -21.2 212.9 23 6 0 157.78 -47.10 0.99 0 -7.2 -21.2 212.9 23 12 0 159.91 -47.45 0.99 0 -7.2 -21.2 212.8 23 18 0 162.06 -47.77 0.99 0 -7.2 -21.2 212.8 23 24 0 164.23 -48.05 0.99 0 -7.2 -21.2 212.7 23 30 0 166.43 -48.30 0.99 0 -7.2 -21.2 212.6 23 36 0 168.64 -48.51 0.99 0 -7.2 -21.2 212.6 23 42 0 170.87 -48.68 0.99 0 -7.2 -21.2 212.5 23 48 0 173.11 -48.82 0.99 0 -7.2 -21.2 212.5 23 54 0 175.37 -48.91 0.99 0 -7.2 -21.2 212.4 0 0 0 177.63 -48.97 0.99 0 -7.2 -21.2 212.4 0 6 0 179.89 -48.99 0.99 0 -7.2 -21.2 212.3 0 12 0 -177.85 -48.97 0.99 0 -7.2 -21.2 212.3 0 18 0 -175.59 -48.92 0.99 0 -7.2 -21.2 212.2 0 24 0 -173.34 -48.82 0.99 0 -7.2 -21.2 212.1 0 30 0 -171.09 -48.69 0.99 0 -7.2 -21.2 212.1 0 36 0 -168.86 -48.51 0.99 0 -7.2 -21.2 212.0 0 42 0 -166.65 -48.30 0.99 0 -7.2 -21.2 212.0 0 48 0 -164.45 -48.06 0.99 0 -7.2 -21.2 211.9 0 54 0 -162.28 -47.78 0.99 0 -7.2 -21.2 211.9 1 0 0 -160.13 -47.46 0.99 0 -7.2 -21.2 211.8 1 6 0 -158.00 -47.11 0.99 0 -7.2 -21.2 211.8 1 12 0 -155.90 -46.72 0.99 0 -7.2 -21.2 211.7 1 18 0 -153.83 -46.30 0.99 0 -7.2 -21.2 211.7 1 24 0 -151.79 -45.85 0.99 0 -7.2 -21.2 211.6 1 30 0 -149.78 -45.37 0.99 0 -7.2 -21.2 211.5 1 36 0 -147.80 -44.86 0.99 0 -7.2 -21.2 211.5 1 42 0 -145.86 -44.33 0.99 0 -7.2 -21.2 211.4 1 48 0 -143.95 -43.76 0.99 0 -7.2 -21.2 211.4 1 54 0 -142.07 -43.17 0.99 0 -7.2 -21.2 211.3 2 0 0 -140.23 -42.55 0.99 0 -7.2 -21.2 211.3 2 6 0 -138.42 -41.91 0.99 0 -7.2 -21.2 211.2 2 12 0 -136.64 -41.25 0.99 0 -7.2 -21.2 211.2 2 18 0 -134.90 -40.57 0.99 0 -7.2 -21.2 211.1 2 24 0 -133.19 -39.86 0.99 0 -7.2 -21.2 211.1 2 30 0 -131.51 -39.13 0.99 0 -7.2 -21.2 211.0 2 36 0 -129.86 -38.39 0.99 0 -7.2 -21.2 210.9 2 42 0 -128.24 -37.63 0.99 0 -7.2 -21.2 210.9 2 48 0 -126.66 -36.85 0.99 0 -7.2 -21.2 210.8 2 54 0 -125.10 -36.05 0.99 0 -7.2 -21.2 210.8 3 0 0 -123.57 -35.24 0.99 0 -7.2 -21.2 210.7 3 6 0 -122.06 -34.41 0.99 0 -7.2 -21.2 210.7 3 12 0 -120.58 -33.58 0.99 0 -7.2 -21.2 210.6 3 18 0 -119.13 -32.72 0.99 0 -7.2 -21.2 210.6 3 24 0 -117.70 -31.86 0.99 0 -7.2 -21.2 210.5 3 30 0 -116.29 -30.99 0.99 0 -7.2 -21.2 210.4 3 36 0 -114.91 -30.10 0.99 0 -7.2 -21.2 210.4 3 42 0 -113.55 -29.21 0.99 0 -7.2 -21.2 210.3 3 48 0 -112.20 -28.30 0.99 0 -7.2 -21.2 210.3 3 54 0 -110.88 -27.39 0.99 0 -7.2 -21.2 210.2 4 0 0 -109.57 -26.47 0.99 0 -7.2 -21.2 210.2 4 6 0 -108.28 -25.54 0.99 0 -7.2 -21.2 210.1 4 12 0 -107.01 -24.60 0.99 0 -7.2 -21.2 210.1 4 18 0 -105.75 -23.66 0.99 0 -7.2 -21.2 210.0 4 24 0 -104.51 -22.71 0.99 0 -7.2 -21.2 210.0 4 30 0 -103.27 -21.76 0.99 0 -7.2 -21.2 209.9 4 36 0 -102.06 -20.80 0.99 0 -7.2 -21.2 209.8 4 42 0 -100.85 -19.84 0.99 0 -7.2 -21.2 209.8 4 48 0 -99.65 -18.88 0.99 0 -7.2 -21.2 209.7 4 54 0 -98.47 -17.91 0.99 0 -7.2 -21.2 209.7 5 0 0 -97.29 -16.94 0.99 0 -7.2 -21.2 209.6 5 6 0 -96.12 -15.96 0.99 0 -7.2 -21.2 209.6 5 12 0 -94.96 -14.98 0.99 0 -7.2 -21.2 209.5 5 18 0 -93.81 -14.01 0.99 0 -7.2 -21.2 209.5 5 24 0 -92.66 -13.03 0.99 0 -7.2 -21.2 209.4 5 30 0 -91.52 -12.04 0.99 0 -7.2 -21.2 209.3 5 36 0 -90.38 -11.06 0.99 0 -7.2 -21.2 209.3 5 42 0 -89.25 -10.08 0.99 0 -7.2 -21.2 209.2 5 48 0 -88.11 -9.10 0.99 0 -7.2 -21.2 209.2 5 54 0 -86.99 -8.12 0.99 0 -7.2 -21.2 209.1 6 0 0 -85.86 -7.14 0.99 0 -7.2 -21.2 209.1 6 6 0 -84.73 -6.16 0.99 0 -7.2 -21.2 209.0 6 12 0 -83.61 -5.19 0.99 0 -7.2 -21.2 209.0 6 18 0 -82.49 -4.21 0.99 0 -7.2 -21.2 208.9 6 24 0 -81.36 -3.24 0.99 0 -7.2 -21.2 208.9 6 30 0 -80.23 -2.27 0.99 0 -7.2 -21.3 208.8 6 36 0 -79.10 -1.31 0.99 0 -7.2 -21.3 208.7 6 42 0 -77.97 -0.34 0.99 0 -7.2 -21.3 208.7 6 48 0 -76.84 0.61 0.99 2.2E+1 -7.2 -21.3 208.6 6 54 0 -75.70 1.57 0.99 1.8E+2 -7.2 -21.3 208.6 7 0 0 -74.55 2.52 0.99 5.8E+2 -7.2 -21.3 208.5 7 6 0 -73.40 3.46 0.99 1.2E+3 -7.2 -21.3 208.5 7 12 0 -72.25 4.40 0.99 2.1E+3 -7.2 -21.3 208.4 7 18 0 -71.09 5.33 0.99 3.3E+3 -7.2 -21.3 208.4 7 24 0 -69.92 6.25 0.99 4.5E+3 -7.2 -21.3 208.3 7 30 0 -68.75 7.17 0.99 5.9E+3 -7.2 -21.3 208.3 7 36 0 -67.56 8.08 0.99 7.4E+3 -7.2 -21.3 208.2 7 42 0 -66.37 8.99 0.99 9.0E+3 -7.2 -21.3 208.1 7 48 0 -65.17 9.88 0.99 1.1E+4 -7.2 -21.3 208.1 7 54 0 -63.96 10.77 0.99 1.2E+4 -7.2 -21.3 208.0 8 0 0 -62.74 11.65 0.99 1.4E+4 -7.2 -21.3 208.0 8 6 0 -61.50 12.51 0.99 1.6E+4 -7.2 -21.3 207.9 8 12 0 -60.26 13.37 0.99 1.7E+4 -7.2 -21.3 207.9 8 18 0 -59.00 14.22 0.99 1.9E+4 -7.2 -21.3 207.8 8 24 0 -57.73 15.05 0.99 2.1E+4 -7.2 -21.3 207.8 8 30 0 -56.45 15.88 0.99 2.2E+4 -7.2 -21.3 207.7 8 36 0 -55.15 16.69 0.99 2.4E+4 -7.2 -21.3 207.6 8 42 0 -53.85 17.49 0.99 2.6E+4 -7.2 -21.3 207.6 8 48 0 -52.52 18.28 0.99 2.7E+4 -7.2 -21.3 207.5 8 54 0 -51.18 19.05 0.99 2.9E+4 -7.2 -21.3 207.5 9 0 0 -49.83 19.81 0.99 3.1E+4 -7.2 -21.3 207.4 9 6 0 -48.46 20.55 0.99 3.2E+4 -7.2 -21.3 207.4 9 12 0 -47.07 21.28 0.99 3.4E+4 -7.2 -21.3 207.3 9 18 0 -45.67 21.99 0.99 3.5E+4 -7.2 -21.3 207.3 9 24 0 -44.25 22.68 0.99 3.7E+4 -7.2 -21.3 207.2 9 30 0 -42.81 23.36 0.99 3.8E+4 -7.2 -21.3 207.2 9 36 0 -41.36 24.02 0.99 3.9E+4 -7.2 -21.3 207.1 9 42 0 -39.88 24.66 0.99 4.1E+4 -7.2 -21.3 207.0 9 48 0 -38.40 25.28 0.99 4.2E+4 -7.2 -21.3 207.0 9 54 0 -36.89 25.88 0.99 4.3E+4 -7.2 -21.3 206.9 10 0 0 -35.37 26.45 0.99 4.4E+4 -7.2 -21.3 206.9 10 6 0 -33.82 27.01 0.99 4.6E+4 -7.2 -21.3 206.8 10 12 0 -32.26 27.55 0.99 4.7E+4 -7.2 -21.3 206.8 10 18 0 -30.69 28.06 0.99 4.8E+4 -7.2 -21.3 206.7 10 24 0 -29.10 28.55 0.99 4.9E+4 -7.2 -21.3 206.7 10 30 0 -27.49 29.02 0.99 5.0E+4 -7.2 -21.3 206.6 10 36 0 -25.86 29.46 0.99 5.0E+4 -7.2 -21.3 206.5 10 42 0 -24.22 29.88 0.99 5.1E+4 -7.2 -21.3 206.5 10 48 0 -22.56 30.27 0.99 5.2E+4 -7.2 -21.3 206.4 10 54 0 -20.89 30.63 0.99 5.3E+4 -7.2 -21.3 206.4 11 0 0 -19.21 30.97 0.99 5.3E+4 -7.2 -21.3 206.3 11 6 0 -17.51 31.28 0.99 5.4E+4 -7.2 -21.3 206.3 11 12 0 -15.80 31.56 0.99 5.5E+4 -7.2 -21.3 206.2 11 18 0 -14.08 31.82 0.99 5.5E+4 -7.2 -21.3 206.2 11 24 0 -12.35 32.04 0.99 5.6E+4 -7.2 -21.3 206.1 11 30 0 -10.61 32.24 0.99 5.6E+4 -7.2 -21.3 206.1 11 36 0 -8.87 32.41 0.99 5.6E+4 -7.2 -21.3 206.0 11 42 0 -7.11 32.54 0.99 5.7E+4 -7.2 -21.3 205.9 11 48 0 -5.36 32.65 0.99 5.7E+4 -7.2 -21.3 205.9 11 54 0 -3.59 32.73 0.99 5.7E+4 -7.2 -21.3 205.8 12 0 0 -1.83 32.78 0.99 5.7E+4 -7.2 -21.3 205.8 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 6:41 17:32 0.0 -8.38 -12.8 13.14 -11.9 2.66 -6.0 6: 8 18: 4 32.2 -8.38 -12.8 12.07 -5.9 0.50 -12.0 5:32 18:41 69.0 -8.38 -12.8 10.84 1.0 -2.05 -18.0 4:55 19:18 105.9 -8.38 -12.8 9.61 8.2 -3.15 from 4 values is 5:49 18:24 51.8 -8.38 -12.8 11.42 -2.2 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 6:39 17:34 0.0 -8.01 -12.6 13.08 -11.4 2.66 -6.0 6: 7 18: 6 32.2 -8.01 -12.6 12.01 -5.3 0.50 -12.0 5:30 18:43 69.0 -8.01 -12.6 10.79 1.6 -2.05 -18.0 4:53 19:20 105.9 -8.01 -12.6 9.55 8.8 -3.15 from 4 values is 5:47 18:25 51.8 -8.01 -12.6 11.36 -1.6 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 54.04 -0.80 61.416 -61 -8.80 -0.2 -1.8 6.3 202.7 12 12 0 55.14 -1.56 61.432 -61 -8.80 -0.2 -1.8 6.2 202.8 12 18 0 56.23 -2.34 61.448 -61 -8.80 -0.2 -1.8 6.2 202.8 12 24 0 57.31 -3.12 61.465 -61 -8.79 -0.3 -1.8 6.2 202.9 12 30 0 58.39 -3.92 61.482 -61 -8.79 -0.3 -1.8 6.2 203.0 12 36 0 59.46 -4.72 61.498 -61 -8.79 -0.3 -1.9 6.2 203.0 12 42 0 60.53 -5.53 61.515 -61 -8.78 -0.3 -1.9 6.2 203.1 12 48 0 61.59 -6.35 61.532 -61 -8.78 -0.3 -1.9 6.2 203.1 12 54 0 62.65 -7.18 61.550 -61 -8.78 -0.3 -1.9 6.2 203.2 13 0 0 63.70 -8.02 61.567 -60 -8.77 -0.3 -2.0 6.2 203.2 13 6 0 64.74 -8.86 61.584 -60 -8.77 -0.3 -2.0 6.2 203.3 13 12 0 65.79 -9.71 61.602 -60 -8.77 -0.4 -2.0 6.2 203.3 13 18 0 66.83 -10.57 61.619 -60 -8.77 -0.4 -2.0 6.2 203.4 13 24 0 67.86 -11.43 61.637 -60 -8.76 -0.4 -2.0 6.2 203.4 13 30 0 68.90 -12.30 61.655 -60 -8.76 -0.4 -2.1 6.1 203.5 13 36 0 69.93 -13.18 61.673 -60 -8.76 -0.4 -2.1 6.1 203.5 13 42 0 70.96 -14.06 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PhA