Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 8 8 8 8 8 8 7 7 7 7 7 7 9 10 10 8 6 8 10 10 6 3 2 4 6 6 6 5 3 4 10 15 15 12 8 5 4 4 6 8 7 3 -1 -2 2 6 10 12 13 12 13 12 6 2 3 6 7 4 2 -0 -3 -7 -10 -9 -5 0 3 4 6 7 4 -2 -9 -12 -13 -13 -8 3 14 14 3 -4 -4 2 9 15 17 15 12 9 10 12 13 13 10 7 5 5 7 7 7 8 11 13 13 10 7 7 7 7 6 6 5 4 4 4 5 5 5 5 5 4 4 3 4 4 5 5 5 5 6 6 5 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 5 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 6 6 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 nan
nan 7 7 8 8 8 8 8 9 8 8 8 7 7 8 9 11 11 8 6 7 9 8 5 0 -1 1 3 4 5 5 5 7 12 16 15 10 5 3 4 5 5 5 3 -0 -3 -3 -1 2 8 13 15 15 14 12 7 2 2 4 3 2 1 0 -2 -6 -11 -13 -11 -6 -2 2 6 7 3 -3 -8 -10 -10 -7 -0 11 17 11 -1 -6 -2 5 11 15 16 14 11 9 10 11 11 10 7 6 6 7 8 8 6 6 9 13 13 10 7 6 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 5 5 5 5 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 7 8 8 8 9 9 8 7 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 6 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 8 7 7 6 6 nan
nan 7 8 9 10 9 8 8 9 10 10 10 8 7 8 10 11 10 8 6 6 7 6 3 -0 -2 -2 -0 2 5 7 9 12 14 14 10 6 4 4 5 6 6 5 3 1 -0 -0 1 4 9 14 16 16 14 12 10 7 6 6 5 4 4 4 4 1 -6 -11 -12 -9 -4 1 6 10 9 5 1 -3 -4 0 8 17 17 6 -5 -6 0 7 12 15 16 13 10 9 9 10 9 8 6 6 7 8 9 8 6 5 9 13 13 9 6 5 6 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 6 7 7 8 9 11 10 9 8 7 7 7 7 7 6 5 5 5 6 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 6 7 7 8 8 8 7 7 6 nan
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nan 6 7 7 6 5 6 6 6 8 12 16 16 12 8 6 5 5 3 2 1 1 5 11 16 13 4 -2 -2 0 2 5 7 8 7 8 11 16 17 17 16 13 8 2 -0 3 6 5 4 7 12 14 13 9 3 -1 -2 -2 -0 3 4 1 -6 -9 -6 0 5 6 7 7 7 6 5 3 4 6 7 7 9 13 14 14 13 14 15 17 18 16 15 14 13 13 14 15 16 16 16 14 13 11 7 1 -2 -1 4 10 14 17 21 25 27 27 26 23 19 15 11 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 8 7 7 7 7 6 6 5 5 6 6 7 6 6 6 5 5 5 4 4 4 4 4 3 3 3 4 4 3 4 5 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 4 6 11 15 14 11 11 13 17 21 23 20 14 9 5 4 4 4 4 4 4 4 4 4 5 6 nan
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nan 13 12 10 9 9 10 9 8 8 10 11 10 6 4 3 4 6 7 6 2 -2 -2 2 9 13 11 7 4 3 4 5 6 8 10 14 16 14 10 8 9 10 8 5 3 4 7 7 5 5 10 15 20 20 16 9 4 3 5 9 9 5 -1 -5 -4 1 5 7 9 10 11 11 10 9 10 11 13 14 14 13 11 10 9 10 11 11 11 11 9 8 8 8 9 10 11 12 13 14 14 14 12 6 -2 -4 1 7 9 9 10 12 16 22 29 37 41 38 29 20 15 12 11 10 10 9 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 9 7 5 5 7 10 13 14 12 9 7 7 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 4 3 3 2 2 3 4 4 4 5 5 5 5 5 5 4 5 6 7 7 7 7 7 11 18 25 26 21 13 8 6 6 5 5 6 6 6 6 6 6 6 nan
nan 13 12 11 10 10 9 9 8 7 8 9 7 5 2 1 1 4 8 10 8 3 0 3 10 14 15 13 10 7 6 6 7 9 12 16 18 14 9 5 7 9 9 7 5 5 6 6 6 7 9 14 19 20 17 11 5 3 5 8 9 5 -1 -4 -3 1 4 5 8 11 12 13 12 11 11 12 13 14 13 12 10 9 9 9 10 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 6 -1 -6 -2 4 7 7 7 8 9 13 19 29 37 40 35 27 22 18 15 14 13 12 11 10 9 8 8 7 7 7 7 7 7 8 9 11 12 12 9 6 6 8 11 14 16 14 10 8 7 7 7 7 6 6 6 6 5 5 5 4 4 3 3 3 3 4 5 5 5 5 4 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 8 11 14 16 14 11 7 6 5 5 5 6 6 7 7 7 6 6 nan
nan 11 9 7 7 9 9 8 6 6 7 8 8 6 3 1 -0 1 6 10 11 7 4 6 10 13 15 16 16 13 11 10 10 10 13 17 18 15 10 5 5 7 10 10 8 5 5 6 7 8 10 12 16 18 16 11 6 3 4 7 7 4 -2 -4 -1 2 3 4 7 10 12 13 13 12 11 11 12 12 11 10 10 9 9 9 9 9 9 8 8 8 7 6 6 7 8 9 7 6 5 6 6 5 -1 -6 -4 1 5 6 7 8 9 9 11 16 23 29 30 29 26 22 20 20 19 17 15 14 12 11 10 9 8 8 8 7 7 6 8 10 13 14 11 9 9 9 10 12 12 11 9 8 8 9 8 7 7 7 7 7 7 6 5 5 4 4 4 4 4 5 5 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 7 7 8 8 8 9 8 7 5 5 5 5 5 5 6 6 6 6 6 5 nan
nan 10 8 6 5 8 9 7 5 5 6 7 8 6 4 2 1 1 3 7 9 8 5 4 6 8 10 12 14 15 15 14 13 12 13 15 16 14 10 6 3 4 7 9 9 7 5 6 7 9 11 13 15 17 14 10 5 2 3 5 6 2 -2 -3 -0 2 2 3 6 10 12 13 12 11 10 9 9 9 9 8 9 8 8 8 8 8 8 8 8 9 8 7 6 7 8 9 8 7 5 5 6 5 0 -5 -5 -0 3 4 5 6 8 9 9 10 12 15 19 22 22 21 21 23 23 22 20 18 18 18 16 14 12 10 9 8 7 6 6 8 11 11 9 10 10 10 10 9 8 7 7 8 9 10 8 7 7 7 7 8 8 7 6 6 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 7 8 8 7 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 10 11 10 8 7 8 7 5 4 5 5 5 5 4 3 3 4 3 4 6 6 3 1 1 2 4 6 9 12 14 14 13 13 13 12 12 11 9 6 3 1 3 7 9 8 7 7 8 9 12 15 16 15 12 7 1 -2 -1 2 3 1 -1 -1 2 2 -0 1 5 10 12 13 12 10 8 7 7 7 6 7 7 7 8 8 8 8 8 8 9 10 10 8 7 7 9 10 9 8 7 7 7 6 2 -3 -4 -1 1 3 4 5 6 8 9 9 9 9 11 13 14 15 17 19 21 21 20 20 22 24 24 21 18 15 13 11 9 8 6 7 8 8 6 7 8 8 7 7 6 7 8 10 12 11 7 6 5 5 6 7 7 7 7 6 6 6 6 5 5 5 6 7 6 6 5 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 12 13 10 7 6 6 6 5 5 4 3 2 2 2 4 5 5 3 4 6 5 2 0 1 2 3 5 8 11 12 13 13 12 10 8 8 7 6 4 2 2 5 8 9 8 7 7 9 14 16 16 12 8 4 -1 -5 -5 -2 -0 -1 -0 2 3 1 -0 1 6 10 12 12 11 8 6 5 5 5 5 5 6 6 7 7 7 8 8 8 8 9 10 9 8 8 9 10 10 9 8 8 8 8 5 1 -1 -2 0 3 4 4 6 7 8 9 9 9 9 10 10 10 11 12 13 14 15 17 21 26 28 28 25 22 19 17 14 11 9 8 8 7 6 6 6 6 5 5 5 7 10 14 16 13 9 6 5 5 5 6 6 7 7 7 7 7 7 6 6 6 7 7 7 6 5 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 8 8 8 7 6 5 5 5 5 6 6 6 5 5 5 nan
nan 3 7 11 11 8 7 7 6 6 5 4 3 2 2 2 3 5 4 3 3 6 8 7 5 4 3 3 5 6 8 11 13 14 12 10 7 6 6 7 7 5 3 4 6 8 9 8 7 9 14 17 15 9 5 3 2 -2 -5 -5 -3 -1 1 2 3 2 2 3 7 10 12 11 10 7 6 4 4 4 4 5 5 6 6 6 7 7 7 7 8 8 9 9 8 8 8 9 10 10 9 9 9 8 7 5 2 0 1 2 2 4 6 7 8 8 9 9 9 10 9 9 9 9 9 9 10 11 13 18 24 26 26 26 26 25 21 17 14 11 9 8 7 7 7 6 6 5 4 4 7 12 14 13 11 9 7 6 5 6 6 7 7 7 7 8 8 8 8 9 9 8 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 7 6 6 5 6 6 6 6 6 6 6 nan
nan 1 4 9 12 12 10 9 7 6 4 4 4 5 4 3 3 3 3 3 2 4 8 11 10 6 3 3 4 6 7 10 13 15 14 11 7 5 5 7 8 7 5 4 5 7 9 8 8 9 12 14 13 8 4 5 6 4 -2 -6 -5 -2 1 2 3 4 5 6 8 10 10 10 8 7 6 5 4 4 5 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 8 8 8 7 4 4 5 1 -1 1 5 6 7 8 8 8 8 8 9 9 9 9 9 10 9 8 8 11 14 17 20 24 28 29 28 24 19 14 12 10 9 8 8 7 8 7 6 4 5 7 8 9 10 10 8 7 6 6 6 7 7 9 10 10 11 11 11 11 10 8 7 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 6 6 6 6 6 6 nan
nan 2 4 10 15 16 14 10 8 6 5 5 6 7 5 3 2 2 2 2 2 3 7 11 11 6 2 2 4 6 7 10 14 17 16 12 8 5 4 6 9 9 7 6 6 6 7 7 8 9 10 11 10 6 5 7 9 8 2 -4 -6 -3 0 3 4 5 7 7 7 8 9 8 8 8 8 7 5 5 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 8 8 7 6 8 7 2 -2 0 4 5 6 8 8 8 7 7 7 7 8 8 9 10 10 9 8 9 9 9 12 17 22 26 27 26 22 18 14 13 12 10 9 8 8 8 8 7 5 5 5 5 5 7 7 6 5 5 5 7 10 14 17 17 14 13 12 11 10 8 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 6 7 7 7 7 6 6 6 6 6 nan
nan 4 5 10 15 16 14 10 7 6 6 7 8 8 5 2 0 0 1 2 2 3 5 8 8 6 3 2 4 6 8 10 14 16 17 14 9 5 4 6 8 9 9 8 7 7 6 6 7 8 8 8 7 6 7 9 11 10 4 -2 -6 -6 -1 3 4 5 6 6 5 6 8 8 8 8 9 8 7 6 6 7 7 7 7 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 7 3 0 1 3 3 4 7 8 8 7 6 6 6 6 6 6 7 8 9 9 9 8 8 8 11 14 18 21 22 21 19 17 17 16 14 11 9 9 8 9 8 8 7 6 5 4 4 5 5 5 4 4 6 11 17 20 19 16 13 11 9 7 6 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 6 7 7 7 6 6 6 6 nan
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nan 8 7 7 7 5 4 4 5 7 8 8 8 7 6 6 7 7 5 3 2 3 7 12 15 16 15 14 13 12 9 6 3 2 6 12 17 17 13 10 9 8 8 7 6 7 7 7 6 6 7 7 8 7 6 5 4 4 5 6 7 8 8 8 7 7 6 6 6 6 5 4 4 3 3 4 5 7 8 8 8 7 7 8 9 9 9 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 9 9 9 10 9 7 6 5 4 4 6 7 5 4 6 10 13 15 13 10 9 8 8 9 9 9 9 8 8 8 8 7 5 4 4 5 7 8 9 10 11 10 10 10 9 9 10 11 12 11 8 7 8 10 11 10 9 9 10 10 10 10 10 11 11 11 12 13 15 14 13 11 9 7 4 3 4 5 4 nan
nan 8 8 9 8 6 3 2 3 5 6 6 6 6 6 6 6 6 5 3 2 4 8 13 15 14 13 13 13 13 12 8 4 2 5 12 17 17 13 9 6 5 6 6 7 7 7 5 4 3 4 4 4 4 4 3 3 4 5 6 7 8 8 8 8 7 6 6 6 5 4 2 3 4 5 6 6 8 9 8 8 8 8 9 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 8 7 7 8 11 14 17 17 13 10 8 8 8 9 9 9 9 8 8 8 8 7 5 4 3 4 6 8 10 11 10 9 9 9 10 10 10 11 11 10 9 9 10 10 9 8 8 9 10 10 10 11 11 11 11 12 13 15 16 15 13 11 10 8 7 7 9 10 10 nan
nan 8 9 9 9 6 3 2 2 4 5 5 6 6 6 6 7 7 6 5 4 5 8 11 13 14 13 13 14 14 12 9 4 2 5 12 16 17 13 7 4 4 5 6 7 8 6 4 2 1 1 1 1 2 2 3 4 5 6 7 7 8 8 9 8 7 7 6 6 4 2 2 3 6 7 8 8 8 8 8 8 8 9 10 10 9 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 10 11 11 9 9 9 10 10 9 10 10 9 9 9 11 14 16 17 17 16 12 9 8 8 9 9 9 9 9 8 8 8 7 7 5 4 2 3 6 8 10 10 9 8 8 10 11 12 12 12 11 11 10 10 10 9 8 8 9 10 10 10 11 12 12 12 11 11 12 12 11 10 9 10 10 10 10 11 13 14 15 nan
nan 10 10 10 10 9 6 5 5 5 6 7 7 6 6 7 7 8 8 8 7 6 7 9 11 13 14 14 13 12 10 6 3 4 8 12 15 14 11 7 4 4 5 7 8 8 7 5 3 1 -0 -0 -0 1 2 3 4 5 6 6 7 7 8 9 9 8 7 6 5 3 2 3 5 7 8 8 7 8 8 8 8 8 9 10 9 8 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 8 8 11 13 12 9 8 8 10 12 13 13 11 9 9 11 15 18 18 17 14 12 9 8 8 9 9 9 9 9 8 8 7 7 7 7 6 4 3 4 6 8 10 12 11 10 10 10 12 13 13 12 11 10 10 10 9 9 9 10 11 11 11 11 12 13 13 12 12 12 11 10 7 6 7 9 11 12 12 12 13 14 14 nan
nan 12 11 12 13 13 11 9 8 8 8 8 7 7 7 7 7 7 7 8 7 6 6 7 9 12 14 14 12 9 6 3 2 6 10 11 11 10 9 7 6 6 7 8 9 10 10 9 7 5 2 1 1 2 3 4 4 5 5 6 7 7 8 9 9 8 7 6 4 3 2 4 7 8 8 7 7 8 9 9 8 8 9 9 9 8 8 7 7 6 6 6 6 7 6 7 7 8 8 8 8 8 7 6 6 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 9 11 13 10 8 7 9 12 14 15 15 12 9 9 13 18 18 16 13 11 9 7 7 8 10 11 9 8 8 7 7 7 6 7 8 8 6 4 4 5 9 12 13 12 10 9 9 10 11 11 10 9 8 8 8 9 10 10 11 11 11 11 12 12 12 12 12 13 12 12 10 8 8 9 11 13 13 12 11 10 9 8 nan
nan 14 12 13 13 13 12 10 9 9 8 7 7 7 8 7 7 6 6 8 9 8 7 8 9 10 12 12 10 6 3 1 4 7 9 9 9 9 8 7 7 8 9 9 10 11 11 11 10 8 6 4 4 4 4 4 4 5 5 6 7 7 8 9 9 8 7 5 3 2 3 6 8 9 8 7 7 8 9 9 8 7 8 9 9 8 8 8 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 7 6 7 7 8 9 9 8 8 8 8 8 8 8 9 8 9 9 9 9 9 8 9 9 9 9 9 8 9 10 11 10 9 10 12 14 15 16 14 10 7 8 14 17 16 12 10 9 8 7 8 10 11 11 9 7 7 6 6 7 6 7 9 8 6 3 2 5 9 11 10 9 7 6 7 7 8 8 7 6 5 6 8 9 10 11 11 12 12 12 12 11 11 11 12 12 12 12 11 11 11 13 14 14 13 11 10 8 7 5 nan
nan 12 12 11 11 11 10 9 8 9 8 6 5 6 7 8 8 7 7 8 9 10 10 10 10 10 11 12 10 6 3 3 5 7 10 11 12 11 9 8 8 8 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 7 7 8 9 9 9 8 7 4 2 1 3 7 9 9 8 8 8 8 9 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 9 9 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 12 14 17 16 14 14 14 11 7 5 8 14 15 12 10 9 9 8 7 8 10 11 10 8 7 7 7 7 7 7 8 8 6 3 1 2 6 9 10 9 7 6 6 6 7 8 8 7 6 6 7 9 10 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 13 14 16 16 14 12 11 11 11 10 9 nan
nan 9 10 10 9 8 7 8 9 9 7 6 5 6 7 7 7 7 7 7 8 9 9 9 8 9 11 12 10 6 4 4 6 9 13 15 16 14 11 9 8 8 8 7 7 6 5 5 6 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 6 3 1 1 4 8 9 9 9 8 8 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 9 9 9 9 10 12 15 19 19 16 12 11 11 10 8 8 11 14 11 8 7 8 8 7 7 9 11 11 10 8 7 7 7 8 8 8 9 7 5 2 1 4 7 9 9 9 9 8 8 8 8 9 9 8 8 9 9 10 11 11 12 12 12 12 12 13 13 14 14 15 15 15 13 13 14 15 15 14 12 10 10 11 12 13 12 nan
nan 8 9 10 7 5 6 9 10 9 8 7 6 6 5 5 5 6 6 6 7 7 6 6 6 8 11 13 10 5 4 5 7 10 12 14 15 13 12 10 8 7 6 6 5 5 5 6 8 9 10 10 11 11 11 10 10 9 8 8 8 8 9 9 9 8 5 2 1 2 5 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 8 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 10 13 17 19 17 12 8 8 10 11 11 11 12 11 7 5 4 6 8 8 9 11 12 11 9 7 8 8 8 8 8 9 8 6 4 2 4 7 9 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 14 15 16 17 17 16 15 15 14 13 11 10 8 8 9 9 10 10 9 nan
nan 9 11 11 9 7 9 11 11 9 7 6 7 6 5 4 4 5 6 7 8 8 7 6 6 8 11 12 9 6 6 7 8 9 9 9 10 10 10 10 9 8 7 7 7 8 10 11 12 12 12 13 13 13 13 12 12 11 10 9 8 8 9 9 9 7 4 1 0 2 6 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 12 16 17 14 9 6 8 12 13 12 11 10 7 4 2 3 6 9 13 14 14 12 9 8 9 9 8 8 8 9 8 6 4 2 3 6 9 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 13 14 15 16 16 16 15 15 14 12 10 8 7 8 9 9 9 8 6 7 nan
nan 11 13 14 12 11 12 12 10 8 6 7 8 7 6 5 6 7 9 10 11 11 10 9 9 10 11 11 10 9 8 8 7 6 5 5 6 7 9 10 10 10 9 10 10 12 13 14 13 13 13 13 13 13 13 12 11 10 9 8 8 8 8 8 8 6 3 0 0 3 6 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 14 14 12 9 8 10 12 12 10 7 5 4 3 3 5 8 13 16 17 15 12 10 10 12 10 8 8 9 10 8 4 2 3 6 8 9 9 9 9 9 10 10 10 10 11 10 10 10 10 11 11 11 11 12 12 12 12 13 14 14 14 14 15 16 15 14 13 12 10 9 8 8 9 10 10 10 9 9 10 nan
nan 13 16 17 14 12 11 10 8 7 8 9 9 8 8 9 10 11 13 14 14 13 11 10 10 12 12 11 10 9 9 7 6 4 3 5 7 9 10 11 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 10 9 8 7 7 7 7 8 8 8 5 1 -0 1 4 7 8 9 9 9 9 10 9 9 9 9 8 8 8 7 7 8 8 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 8 5 3 2 3 4 6 8 12 15 16 16 15 13 12 12 11 8 7 8 10 11 7 3 3 5 8 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 12 14 16 18 16 13 11 11 11 12 11 11 11 11 11 11 10 11 13 nan
nan 13 18 18 15 10 8 7 7 9 11 11 10 8 8 10 12 13 15 16 15 12 10 9 10 12 12 11 10 8 7 7 7 8 9 10 11 11 11 10 10 9 9 9 10 10 11 10 10 10 10 10 10 9 9 8 7 6 6 6 6 7 8 8 6 3 -0 0 2 5 7 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 8 6 3 2 2 5 8 10 12 13 14 14 15 14 13 11 9 6 5 7 11 13 10 5 3 4 7 9 9 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 12 12 11 10 10 14 19 20 16 12 10 11 13 14 14 13 13 13 13 12 12 11 11 nan
nan 11 15 16 13 9 6 5 7 11 14 13 9 7 7 10 11 12 12 12 10 7 6 8 12 13 12 10 9 8 7 8 12 15 17 15 12 11 10 9 9 8 8 9 10 10 10 10 9 9 9 9 8 8 7 7 6 6 6 6 6 8 9 8 5 1 -1 1 4 7 8 9 9 9 10 10 10 10 10 10 9 8 8 8 9 9 9 9 8 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 8 7 5 4 6 9 11 13 13 13 13 13 14 13 11 9 6 7 9 12 14 12 7 4 4 6 8 9 9 9 9 10 10 10 10 10 11 10 10 10 9 9 9 10 11 12 12 12 12 12 11 11 10 9 12 17 20 19 14 11 11 14 16 16 14 13 13 13 12 13 13 12 11 nan
nan 8 10 11 10 7 5 4 7 12 15 15 12 8 7 9 10 11 10 8 6 4 5 8 12 12 10 9 8 8 7 8 12 16 18 15 11 9 8 8 8 9 9 10 10 10 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 8 8 6 2 -1 -1 2 6 8 9 9 10 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 8 7 7 7 7 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 8 8 8 8 9 9 9 8 8 9 10 11 12 12 13 14 14 13 11 9 7 7 9 11 12 11 8 5 5 6 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 12 12 11 10 10 11 14 18 20 17 12 11 14 17 18 16 14 13 12 12 12 13 14 14 13 nan
nan 7 8 9 8 7 6 5 5 8 10 13 14 12 10 9 9 10 11 10 8 5 5 8 10 11 10 9 8 7 7 6 8 11 12 11 9 8 8 8 9 10 11 10 10 9 8 8 7 6 6 6 7 7 7 7 6 5 5 6 7 8 7 4 1 -1 1 5 8 9 9 10 12 13 12 10 9 9 9 10 9 9 9 10 10 10 9 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 11 11 10 10 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 11 11 10 10 11 13 13 11 8 6 5 7 9 9 7 6 6 6 8 9 10 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 9 10 10 10 11 12 12 12 12 11 10 10 12 16 18 18 14 11 13 17 19 19 17 16 15 15 14 13 12 12 12 13 nan
nan 7 8 10 11 10 7 4 3 2 3 6 11 14 11 7 7 8 10 10 9 7 7 9 11 11 11 10 9 8 7 6 6 7 8 8 8 8 9 10 11 11 10 9 8 7 7 6 5 4 5 6 7 7 7 6 5 5 5 6 7 8 6 3 0 0 2 6 8 9 10 12 14 13 11 9 8 8 9 10 10 10 10 11 11 10 9 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 7 7 7 7 7 8 8 8 8 9 9 10 10 11 11 11 10 9 8 9 11 11 9 6 4 5 7 9 9 8 9 10 11 12 11 10 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 10 10 11 12 12 12 12 11 11 11 13 16 18 17 13 13 16 19 21 20 18 18 18 17 15 13 10 9 8 9 nan
nan 10 9 13 15 14 9 5 3 3 3 4 8 10 9 6 5 6 8 8 7 7 9 11 12 13 12 11 10 10 10 10 9 8 7 8 8 9 10 11 11 10 9 8 7 6 5 4 4 4 5 6 7 7 6 6 6 6 6 6 6 5 4 3 2 2 4 7 8 9 11 13 14 13 10 7 6 7 9 10 10 10 11 11 11 10 8 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 11 11 11 11 12 12 10 9 7 7 7 7 8 8 8 8 9 9 9 10 10 11 11 11 11 10 9 8 8 9 8 7 6 6 6 9 11 11 11 12 12 13 12 10 9 9 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 10 11 12 12 12 12 11 11 11 12 15 17 15 13 14 16 18 19 18 18 19 19 18 15 12 9 8 8 8 nan
nan 12 11 13 15 15 12 9 8 10 10 9 7 7 7 6 6 8 8 7 5 6 8 10 11 11 10 9 10 11 13 15 13 11 9 8 8 9 9 10 9 8 8 7 6 5 5 4 4 5 6 7 6 6 6 7 7 7 6 5 4 4 4 4 4 4 5 7 8 10 12 14 14 11 8 6 6 8 10 10 10 10 11 12 12 10 8 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 10 10 11 11 10 8 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 11 10 10 9 9 8 8 8 8 9 9 10 12 12 12 11 12 12 12 10 8 8 10 11 12 12 11 10 9 9 9 9 10 10 10 10 10 10 9 9 10 11 12 12 12 12 11 10 11 12 15 16 14 12 12 14 16 15 13 15 17 18 19 18 15 13 12 11 10 nan
nan 10 9 9 10 11 12 13 14 15 14 11 8 6 6 7 9 11 10 7 4 4 6 7 7 7 7 8 10 13 16 17 16 12 9 8 7 7 7 7 7 7 7 7 6 6 5 4 5 6 6 6 6 6 7 8 8 6 5 4 3 4 5 6 5 5 5 7 9 11 13 14 13 9 6 5 8 10 11 10 10 11 12 13 13 10 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 13 12 11 11 11 11 10 10 9 10 11 12 12 12 11 9 9 8 9 9 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 11 11 13 14 14 12 10 11 13 13 10 9 11 14 18 21 22 20 19 18 16 14 nan
nan 6 7 7 6 6 10 14 16 16 14 11 8 7 7 9 12 12 10 6 4 3 4 4 5 5 5 7 11 14 17 18 16 12 9 7 6 6 5 5 6 7 7 7 7 6 5 4 4 5 6 7 7 7 8 9 8 5 3 2 3 5 7 7 6 5 5 7 10 12 13 13 11 8 5 7 9 11 11 11 11 12 13 14 13 9 7 6 6 6 5 5 5 5 6 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 10 9 9 10 10 10 10 11 12 12 12 11 11 11 11 10 10 10 10 11 12 12 12 12 11 9 8 8 9 9 10 10 10 10 10 10 9 9 9 10 11 12 13 13 12 11 11 13 14 13 10 10 12 13 11 7 7 9 13 18 22 24 24 24 22 20 17 nan
nan 7 8 8 6 5 7 12 13 14 14 13 11 10 11 12 12 12 10 8 6 4 4 4 4 4 5 7 10 13 15 17 16 14 9 7 6 7 6 6 7 7 7 7 7 6 4 4 4 5 6 7 8 8 9 9 8 5 3 3 4 6 8 7 6 6 6 7 10 12 13 12 10 7 6 8 10 11 11 11 11 12 13 13 11 8 7 6 6 5 5 5 4 5 6 7 8 9 9 9 9 8 8 8 8 8 7 8 8 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 10 9 8 8 9 10 10 10 10 10 10 10 9 9 9 10 11 12 12 13 12 12 11 12 12 11 9 9 11 10 9 7 8 11 14 17 20 23 24 24 23 21 19 nan
nan 8 10 9 8 6 7 9 10 12 13 13 12 11 11 11 10 11 12 12 10 8 6 5 4 5 5 5 6 8 12 15 16 15 11 8 8 9 9 8 7 7 8 8 7 6 4 4 5 6 7 7 8 9 9 9 8 6 4 4 5 7 8 8 7 7 7 8 9 11 12 11 8 6 7 9 10 11 11 11 12 13 13 12 10 8 7 6 5 5 4 3 3 4 6 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 12 11 11 10 9 8 9 9 10 9 10 11 12 13 15 17 19 21 22 22 22 21 nan
nan 8 9 9 8 7 7 7 8 9 10 10 10 9 9 8 8 8 11 13 13 11 9 7 6 5 5 4 5 6 10 13 15 15 12 9 9 10 10 9 7 7 7 8 7 6 6 6 6 6 7 7 8 9 9 9 8 6 4 4 6 8 10 9 8 8 7 8 9 11 11 9 7 7 8 9 9 10 10 11 12 13 11 10 8 7 7 6 5 4 3 3 3 5 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 9 9 9 9 9 10 10 9 9 10 10 10 10 9 9 10 11 12 13 13 12 11 10 9 8 8 9 10 11 12 12 12 11 11 12 14 16 18 20 21 22 22 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
1041 540 178 41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 26 93 214 439 753 1028 1253 1495 1834 2147 2382 2555 2568 2334 1961 1584 1293 1166 1091 1047 1032 1065 1153 1338 1517 1431 1329 1331 1120 873 1155 1391 1563 1794 1998 2140 2139 2110 2110 2145 2021 1767 1701 1923 2232 2512 2602 2261 1886 1821 1787 1734 1747 1799 1708 1590 1530 1489 1411 1357 1473 1661 1860 2104 2306 2491 2572 2653 2640 2478 2491 2691 2815 2683 2431 2333 2293 2137 1967 1576 1624 1817 1728 1760 1838 1971 2189 2439 2655 2823 2986 3180 3382 3523 3488 3484 3607 3718 3865 3993 3926 3715 3630 3549 3354 3377 3485 3453 3427 3317 3093 3171 3271 3541 3783 3862 3824 3743 3613 3430
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288 95 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 9 61 221 497 786 1009 1172 1327 1467 1575 1663 1778 1993 2412 2679 2336 1716 1518 1545 1625 1421 1283 1251 1090 1071 1174 1251 1263 1229 1177 1114 1067 1100 1210 1366 1561 1770 1951 2006 1909 1860 1939 2011 1881 1666 1629 1794 2085 2391 2444 2326 2307 2215 2033 2000 2050 2008 1951 1905 1828 1762 1785 1908 2045 2233 2433 2609 2865 3156 3261 3284 2942 2582 2517 2654 2822 2737 2239 2082 2088 1941 1813 1875 1994 2007 1979 2007 2064 2070 2080 2168 2256 2430 2697 2962 3155 3300 3441 3551 3692 3863 3989 4001 3934 3971 4005 3633 3754 3790 3596 3403 3457 3654 3733 3740 3653 3478 3418 3442 3384 3459 3421
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