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 8 9 9 10 10 10 10 11 11 11 11 10 9 9 9 10 10 9 7 7 7 7 7 7 8 8 8 9 9 10 10 10 7 6 7 11 17 25 28 29 29 29 28 27 26 24 22 19 17 16 15 13 12 11 11 10 9 9 10 10 10 10 11 12 13 14 14 13 11 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 8 7 7 8 9 10 11 12 12 11 nan
nan 10 11 12 11 9 9 9 10 11 11 10 10 9 8 9 11 10 9 8 7 7 7 7 7 8 8 8 9 10 10 10 10 7 5 5 8 15 24 28 29 28 27 26 25 25 25 24 22 20 19 18 16 15 13 12 11 10 10 11 11 10 10 10 11 13 14 15 15 13 10 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 10 8 8 9 10 11 12 12 12 12 nan
nan 12 13 13 11 10 9 9 9 9 10 10 9 9 9 10 11 11 10 8 8 8 8 8 8 8 8 9 10 11 11 11 9 7 5 3 6 13 21 25 27 26 24 22 22 23 24 24 23 23 22 21 19 17 16 14 12 11 11 11 11 11 10 10 11 12 14 16 16 15 13 10 8 7 7 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 11 11 12 13 13 12 11 10 9 10 11 12 12 12 12 11 nan
nan 11 11 11 11 11 10 10 9 10 10 10 10 10 10 12 12 12 11 9 9 9 9 8 8 8 9 9 10 11 12 12 9 7 4 2 4 10 16 21 25 24 21 19 19 19 20 21 22 22 22 21 20 20 19 18 16 14 13 12 12 11 11 10 10 11 12 14 16 16 15 13 10 8 7 7 7 9 9 9 9 10 10 10 9 8 8 7 7 6 6 7 8 9 9 9 10 11 11 12 12 13 12 11 11 11 11 12 12 12 12 11 nan
nan 9 9 10 11 11 12 11 12 12 12 12 12 11 11 12 12 12 11 10 10 10 9 8 8 9 9 10 11 12 13 12 10 8 5 2 3 6 10 17 23 23 20 17 15 15 15 16 17 18 19 19 20 21 21 21 19 18 16 15 13 12 11 10 10 10 11 12 14 16 16 15 13 11 9 7 7 8 8 8 8 9 10 9 8 8 7 6 6 5 5 6 7 7 8 9 10 11 11 11 11 13 13 12 12 12 12 12 12 12 11 11 nan
nan 10 10 10 11 11 12 12 12 13 13 13 13 12 12 13 13 12 11 10 9 9 8 8 9 9 10 10 10 11 12 12 11 9 6 3 2 3 9 18 22 22 20 17 13 12 11 11 12 13 14 16 17 20 21 22 22 21 20 18 16 14 12 11 10 9 9 10 12 14 15 16 15 14 12 9 7 7 7 7 8 9 8 8 7 6 6 5 5 4 4 4 5 6 7 8 10 10 10 9 10 12 13 13 14 13 13 13 12 12 11 11 nan
nan 12 12 11 11 10 11 11 12 12 12 11 11 11 11 13 14 14 13 12 10 9 9 9 9 9 10 10 9 10 10 11 11 10 7 5 4 6 14 21 25 25 22 18 14 11 9 8 9 9 10 12 14 16 18 20 21 22 22 21 20 18 16 13 11 10 9 9 10 11 13 14 16 16 14 11 9 8 7 7 7 7 7 7 7 5 5 5 5 5 4 3 4 4 6 7 8 8 8 9 10 11 13 14 14 14 14 13 13 12 11 11 nan
nan 13 13 12 12 11 11 12 12 12 12 11 10 9 10 12 14 15 14 14 13 11 10 9 8 9 9 8 9 9 9 10 10 9 8 7 6 10 18 25 28 29 25 20 16 13 10 10 9 8 8 9 10 12 14 17 19 20 21 22 22 22 20 18 15 13 10 9 8 9 10 12 14 15 14 13 11 10 8 7 7 6 7 7 7 6 6 6 5 5 5 4 3 4 6 6 7 7 8 8 9 11 12 14 14 14 14 14 13 12 12 11 nan
nan 14 14 14 13 13 13 14 14 14 14 13 11 11 11 12 13 14 14 14 14 13 12 11 10 9 9 8 8 9 9 9 8 8 7 7 7 12 18 23 27 28 24 21 18 16 14 13 11 10 9 9 9 10 11 13 15 17 18 20 22 23 23 21 20 17 14 11 9 8 8 9 11 12 13 12 12 11 9 9 8 7 7 8 8 8 7 7 7 6 6 5 5 6 7 7 7 8 7 7 8 10 12 14 14 14 14 13 13 12 12 11 nan
nan 16 16 16 15 14 15 16 17 16 16 15 13 13 13 13 14 14 14 14 13 13 13 13 12 11 9 8 8 9 9 8 7 7 7 7 7 10 14 18 22 22 20 19 17 16 15 15 14 13 12 11 10 9 10 11 12 13 15 16 19 21 22 23 23 21 18 15 13 10 8 8 9 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 8 8 7 8 10 12 13 14 14 14 13 13 12 11 11 nan
nan 17 17 17 17 17 16 16 16 15 14 14 14 15 15 15 15 15 14 13 13 12 13 13 13 11 9 8 8 9 9 9 8 8 8 7 7 8 10 14 17 17 17 16 15 14 15 15 15 16 15 12 10 9 10 10 10 11 12 13 15 17 19 21 23 23 22 20 18 14 11 9 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 10 11 13 14 14 14 14 13 12 11 11 nan
nan 18 17 17 17 17 16 15 13 11 11 12 14 16 17 17 16 15 14 13 12 12 12 12 12 11 9 8 8 8 9 9 9 9 8 7 7 7 9 13 15 16 17 16 15 15 15 15 16 17 14 11 9 10 12 11 10 10 10 10 11 13 15 17 20 22 23 23 22 19 16 13 10 8 8 8 8 9 9 10 11 12 13 13 13 12 12 12 12 11 11 11 10 10 9 9 8 8 8 8 8 9 11 13 14 15 15 14 14 13 12 11 nan
nan 16 16 15 14 14 14 13 11 9 9 11 13 16 16 16 15 14 12 11 11 11 12 12 11 10 9 8 7 7 8 9 10 9 9 8 7 8 10 13 15 17 17 17 16 16 16 16 17 16 12 10 10 13 13 12 10 9 9 9 9 10 12 14 16 19 21 23 24 23 21 19 15 12 10 9 8 8 7 8 9 11 13 14 14 14 13 13 13 12 12 12 10 9 9 8 7 7 7 8 8 9 11 13 14 15 16 16 15 14 13 12 nan
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nan 10 10 9 9 10 10 11 11 12 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 8 8 7 8 8 8 9 10 10 10 10 9 10 11 12 14 15 15 14 13 13 13 12 10 8 7 8 9 10 9 8 8 8 8 8 8 7 7 5 5 8 13 18 22 24 25 24 22 20 17 14 12 9 6 5 6 7 9 11 13 14 14 13 12 12 11 10 9 9 8 7 6 6 6 6 8 9 11 13 14 16 16 16 15 14 12 nan
nan 10 9 8 8 9 10 11 11 11 11 11 10 10 9 8 8 8 8 9 10 11 10 10 9 9 8 8 8 9 10 9 9 9 10 10 10 10 10 10 11 14 16 16 15 12 11 11 11 11 9 9 8 8 8 8 7 7 7 8 8 7 5 4 3 3 7 11 15 18 20 22 24 25 24 22 20 18 14 10 7 5 5 6 8 10 12 13 13 12 11 10 10 9 9 8 8 7 7 6 6 7 8 10 12 14 15 15 15 14 14 12 nan
nan 10 9 9 8 9 9 9 9 10 9 9 9 9 9 8 8 8 8 10 12 12 12 11 9 8 8 9 10 11 11 10 9 9 9 10 10 10 10 10 12 15 17 17 14 11 10 10 10 11 12 11 10 9 9 8 8 8 8 8 8 6 5 4 4 5 7 10 12 13 14 16 19 22 24 25 25 23 20 16 12 9 6 5 6 7 9 11 12 11 11 11 10 10 9 9 8 8 8 7 7 7 8 10 11 12 13 14 14 14 13 12 nan
nan 10 10 9 8 8 7 7 8 9 9 8 9 9 10 9 9 8 9 11 12 13 12 11 10 9 9 10 11 11 11 11 10 9 9 10 11 11 11 11 13 16 17 16 13 10 8 8 9 11 12 13 12 11 10 10 9 9 9 9 8 7 7 7 6 6 7 8 9 9 9 11 15 18 21 23 24 25 24 21 18 14 11 8 7 7 8 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 11 12 12 13 13 13 13 12 nan
nan 10 9 8 7 7 7 7 8 8 8 8 9 11 12 11 10 9 10 11 12 12 12 11 10 10 10 10 11 11 11 11 10 9 10 12 12 12 10 10 13 16 17 15 11 8 6 6 8 10 12 13 13 13 12 11 10 10 10 10 10 9 9 9 8 7 7 7 8 9 10 12 14 17 18 19 21 23 24 23 21 19 16 13 11 9 8 9 9 9 9 10 10 9 9 8 7 7 7 8 9 9 10 10 10 11 12 12 12 12 12 11 nan
nan 8 7 6 6 7 8 8 8 7 8 9 11 13 12 11 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 12 12 12 10 7 9 13 16 17 15 10 7 5 6 8 10 12 14 14 13 12 12 11 10 10 11 11 10 10 10 10 9 9 10 11 12 13 15 16 16 15 15 16 18 20 21 21 20 19 17 15 12 11 9 8 8 8 9 10 10 10 8 7 6 6 7 8 9 11 11 11 11 11 11 11 11 11 11 nan
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nan 9 9 8 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 9 11 12 12 11 11 11 11 11 12 11 10 9 8 6 5 3 2 3 4 7 11 13 15 15 12 9 8 7 9 11 12 12 12 11 10 8 8 8 9 10 11 12 14 17 19 20 19 18 16 14 12 11 10 9 9 8 7 6 6 7 8 9 10 11 12 13 15 16 17 17 16 14 11 9 9 9 10 12 14 14 16 17 18 18 17 16 15 13 11 10 9 9 nan
nan 9 10 9 10 10 10 9 8 7 8 8 9 9 9 9 9 8 9 12 13 13 11 9 9 10 11 11 12 11 10 8 7 5 4 3 3 4 6 9 11 14 15 14 11 9 7 7 8 9 11 12 13 11 10 8 7 8 9 10 11 11 12 14 15 16 17 17 16 14 13 11 10 10 9 9 8 7 7 7 7 8 9 9 10 11 13 14 15 16 16 15 12 11 9 8 9 11 12 13 14 16 17 18 18 17 17 16 14 13 12 11 nan
nan 10 10 11 12 12 11 9 6 7 8 9 9 9 9 9 9 10 12 13 13 10 8 7 7 8 9 10 10 10 8 6 5 4 4 4 5 7 9 10 12 13 14 12 11 9 7 6 7 9 11 12 13 12 10 8 8 9 10 10 11 11 11 12 13 16 18 18 17 15 13 11 11 10 10 9 9 9 8 8 8 8 8 9 9 10 12 13 13 14 15 15 15 14 13 13 13 14 15 17 18 18 18 19 19 20 20 20 21 20 18 16 nan
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nan 10 10 11 11 11 9 8 8 9 10 11 11 11 11 10 10 11 12 11 9 8 8 9 9 9 9 8 7 6 6 7 8 9 10 11 12 13 14 13 12 11 11 12 12 10 8 7 6 9 12 13 13 12 10 9 9 10 11 11 11 11 11 13 16 20 22 22 19 16 15 14 13 12 12 12 12 12 12 12 11 11 12 12 12 13 13 14 15 16 18 19 21 22 23 24 25 26 26 26 27 27 27 28 28 29 31 32 33 34 34 35 nan
nan 10 11 11 11 11 10 10 10 11 12 12 12 12 12 11 11 12 13 13 12 12 12 12 12 11 10 10 9 9 11 12 14 15 16 15 15 15 14 12 11 11 12 13 13 11 9 7 7 10 12 13 14 11 9 9 9 10 12 12 12 12 12 13 16 18 20 21 20 19 18 16 15 14 14 14 14 14 14 14 15 15 14 15 15 15 16 16 18 19 21 22 23 25 26 27 27 28 28 28 28 27 28 28 28 28 29 30 31 33 34 34 nan
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nan 10 9 8 8 9 10 12 13 13 14 15 16 16 15 14 15 16 17 18 18 18 19 18 17 15 14 13 13 13 14 14 15 15 16 16 15 13 11 10 10 11 13 14 14 13 11 9 10 11 12 13 12 11 11 10 12 13 13 13 12 12 12 13 13 15 17 20 22 24 23 21 20 19 18 18 18 19 19 19 19 20 20 20 20 21 21 22 22 22 23 24 24 24 25 25 25 24 23 21 21 21 20 19 18 18 18 17 18 18 19 19 nan
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nan 10 10 10 10 11 11 11 11 11 11 12 14 16 18 20 22 23 23 21 18 16 14 13 12 12 13 15 15 15 13 12 12 12 12 12 11 10 9 9 9 10 11 12 13 13 11 10 9 10 12 12 12 10 9 10 10 11 11 10 9 9 9 10 12 13 14 15 16 19 22 25 25 23 23 23 23 22 22 22 22 22 22 22 22 22 22 21 21 20 19 18 17 16 16 15 14 13 13 12 11 10 9 8 6 4 0 -4 -8 -12 -14 -12 nan
nan 9 10 10 10 10 10 11 11 11 11 10 11 12 15 19 23 25 24 21 17 14 11 9 9 11 13 15 15 15 13 12 12 11 11 11 10 9 9 9 9 9 10 11 13 13 12 10 10 11 11 12 11 9 8 8 8 9 10 9 9 9 9 10 11 12 13 14 13 14 16 18 20 20 21 23 23 23 23 23 22 22 22 22 21 21 21 20 19 18 17 16 15 14 13 13 12 12 11 10 9 8 6 4 0 -5 -10 -14 -15 -14 -13 -11 nan
nan 7 7 8 9 10 10 11 12 11 9 8 9 11 13 17 21 23 22 19 15 12 9 8 9 11 13 13 14 13 12 11 11 10 10 9 10 10 10 10 9 9 9 11 13 13 12 11 11 12 12 12 10 8 7 6 7 7 8 9 9 9 9 10 10 11 13 12 11 9 9 9 9 11 14 17 19 20 22 22 21 21 21 21 20 20 19 18 17 16 15 14 13 12 12 11 11 10 9 8 6 4 2 -2 -7 -13 -15 -15 -11 -7 -3 -1 nan
nan 4 6 8 10 11 12 13 12 10 6 4 7 9 12 16 19 21 20 17 14 12 10 10 11 12 13 12 12 12 11 11 10 10 10 10 10 11 11 11 9 9 8 10 12 13 13 11 12 13 13 12 10 8 6 6 6 6 7 8 8 9 9 10 11 12 12 12 10 8 6 4 3 4 7 9 10 11 14 17 19 21 20 19 18 18 17 16 15 14 13 13 12 11 11 10 10 8 6 5 3 1 -2 -5 -9 -12 -11 -7 -2 2 5 5 nan
nan 5 6 9 12 13 12 12 12 8 3 1 4 7 12 15 18 19 18 15 14 13 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 12 11 10 9 8 8 11 12 13 13 12 12 12 12 10 9 7 6 6 6 6 6 6 7 8 9 11 12 12 12 12 12 10 8 7 6 6 5 5 4 4 7 12 15 18 18 18 17 16 15 14 13 13 13 12 11 10 9 9 7 6 4 2 1 -1 -3 -4 -5 -5 -2 1 5 7 7 7 nan
nan 8 9 11 13 12 10 9 10 7 3 2 3 7 12 17 19 18 15 13 13 14 14 12 12 11 12 12 11 11 10 10 10 11 11 11 11 11 11 10 9 8 9 11 13 13 13 12 11 11 9 8 8 7 8 8 7 7 6 6 6 6 8 11 13 14 14 13 12 12 11 11 11 10 9 8 6 6 7 8 11 13 14 14 15 13 11 10 10 11 11 10 9 9 8 7 5 4 2 1 0 -0 0 0 -1 0 2 5 7 8 8 7 nan
nan 11 12 12 12 11 9 9 10 9 6 5 6 9 13 16 16 14 12 12 13 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 7 8 10 12 14 13 12 11 9 8 8 8 9 10 11 10 9 8 7 6 6 8 11 12 14 14 13 12 12 12 12 12 12 12 11 11 10 8 6 6 6 4 3 3 2 2 2 5 8 8 8 8 7 6 5 4 3 2 2 2 3 3 2 1 2 4 7 8 8 8 8 nan
nan 13 13 13 12 11 10 10 11 10 9 8 9 12 13 14 13 11 10 11 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 7 7 8 10 12 13 13 12 10 9 8 8 9 11 13 14 14 13 11 9 8 8 9 10 12 13 13 12 11 11 12 12 12 13 12 12 12 10 8 5 1 -2 -6 -8 -10 -8 -6 -4 -0 3 4 5 5 5 5 6 5 4 4 4 5 5 6 5 5 6 8 9 9 9 8 8 nan
nan 13 13 12 12 12 11 11 11 10 9 10 12 13 13 12 11 10 10 11 12 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 7 7 10 12 13 13 12 10 10 10 10 12 13 15 15 15 13 12 10 9 9 10 10 11 12 11 11 10 11 11 12 12 12 12 11 11 9 7 4 0 -4 -7 -8 -8 -7 -5 -4 -3 -4 -5 -4 -2 1 3 6 6 6 7 7 7 8 8 8 9 10 11 11 10 9 9 8 nan
nan 12 12 12 12 12 12 12 11 10 9 10 12 12 12 11 9 9 9 10 10 10 11 12 13 12 12 11 11 11 10 10 10 10 11 11 10 10 9 7 7 6 8 10 12 13 13 12 11 12 12 12 13 14 15 14 13 12 12 11 10 10 10 10 10 11 10 10 10 11 11 11 12 12 11 10 9 8 6 5 3 2 1 1 1 2 1 -1 -4 -8 -11 -10 -7 -5 -3 1 4 6 8 9 10 10 10 11 11 12 12 12 11 10 10 9 nan
nan 11 11 11 11 12 12 12 12 11 10 10 11 11 10 9 8 8 8 9 11 12 14 14 14 13 13 13 13 12 11 10 10 9 9 9 9 8 7 6 5 5 7 10 11 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 10 10 11 11 11 11 11 11 10 10 11 12 11 11 10 9 8 7 7 7 7 7 7 7 6 5 3 0 -3 -4 -5 -5 -6 -6 -5 -2 2 6 9 11 12 12 12 13 13 14 14 14 13 13 12 nan
nan 10 10 10 10 11 12 12 11 10 10 10 10 10 10 8 7 7 8 10 13 14 15 14 13 13 14 15 14 13 11 10 9 8 7 6 6 5 4 3 3 4 7 9 11 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 11 12 12 12 11 11 10 9 9 9 9 10 9 9 8 7 7 6 6 5 5 4 2 0 -2 -3 -3 -1 4 9 12 14 14 14 15 15 16 17 18 18 18 16 nan
nan 10 10 9 10 10 11 11 10 10 10 10 11 10 9 8 7 8 10 12 14 14 13 11 12 13 15 15 14 12 11 10 9 8 7 6 5 4 3 2 2 4 7 9 11 12 13 14 14 14 13 13 12 12 11 10 10 11 11 12 12 13 13 13 13 12 11 11 10 11 11 12 12 12 12 11 11 10 10 11 11 11 10 10 9 9 9 8 8 9 8 8 8 7 5 3 2 4 7 9 10 10 11 12 14 16 17 19 21 22 22 20 nan
nan 10 9 9 9 10 10 10 10 10 10 10 11 11 9 8 7 9 12 14 14 12 11 11 12 14 15 14 12 11 10 10 10 10 10 9 8 6 4 3 4 5 7 10 11 13 14 14 15 15 14 14 13 12 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 5 2 -1 -2 0 2 6 10 13 17 19 20 21 21 nan
nan 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 8 10 11 13 12 11 11 12 13 14 14 13 12 12 12 13 13 13 12 12 11 9 7 6 7 8 10 11 12 14 15 16 16 16 16 15 14 13 12 12 12 11 12 12 11 11 11 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 7 4 -1 -8 -12 -12 -11 -9 -6 -2 2 6 8 11 14 18 nan
nan 9 9 9 10 10 11 10 10 10 10 10 11 11 10 9 8 9 10 12 13 12 13 13 14 15 14 14 14 14 14 14 14 14 13 13 13 12 11 11 11 11 12 13 14 14 16 17 17 17 17 16 14 14 13 13 12 11 11 11 10 9 9 9 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 8 8 9 8 8 7 6 4 1 -3 -7 -9 -9 -9 -9 -9 -9 -9 -8 -5 -2 3 8 nan
nan 9 9 10 10 11 11 11 10 10 10 10 10 9 9 8 9 10 11 13 14 15 15 15 15 15 15 16 16 16 16 15 14 13 13 14 15 15 14 14 13 13 14 14 14 15 16 17 18 18 17 16 15 14 14 13 12 11 10 8 8 8 8 8 7 8 8 9 9 10 10 11 11 11 10 10 9 9 9 10 10 11 10 10 10 10 10 9 9 8 8 8 8 7 7 6 4 3 2 2 2 1 0 -1 -3 -6 -9 -11 -10 -9 -8 -5 nan
nan 9 10 10 11 11 11 11 11 10 9 9 9 9 9 10 11 13 15 16 16 15 15 16 16 16 16 17 18 18 18 17 15 13 13 14 15 16 16 15 14 14 14 14 14 14 15 16 18 18 17 16 15 14 14 13 11 10 9 8 7 8 7 7 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 4 3 1 -2 -3 -5 -8 -9 nan
nan 9 10 11 11 11 12 11 10 9 9 9 10 11 12 13 15 16 16 16 15 15 15 15 16 16 16 17 19 20 21 19 16 14 13 13 14 15 16 15 14 14 14 14 14 14 15 16 17 18 18 17 16 15 14 13 11 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 8 9 9 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 6 5 3 0 -3 nan
nan 10 10 11 11 12 12 12 11 10 10 11 12 14 15 15 16 15 15 14 14 13 14 14 14 14 15 17 19 21 22 20 17 14 12 11 12 13 14 14 14 14 14 14 14 14 15 16 17 17 17 17 17 15 14 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 7 6 5 nan
nan 10 11 11 11 12 12 12 12 12 12 13 14 15 14 14 13 13 13 12 12 12 13 13 13 13 13 15 17 19 20 19 17 14 12 11 11 11 12 12 13 13 13 13 13 13 14 15 16 16 16 17 17 16 15 14 13 13 13 12 12 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 11 10 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 7 nan
nan 10 11 11 11 12 12 12 13 13 14 14 14 13 12 11 11 12 12 12 12 12 12 12 13 12 13 14 15 16 17 16 15 14 11 10 10 9 10 11 12 12 12 12 12 13 14 15 15 16 16 17 17 17 17 17 16 16 15 13 13 12 11 10 9 9 8 7 7 8 8 9 9 10 10 10 9 9 8 8 7 8 9 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 9 nan
nan 11 11 11 11 12 12 12 13 14 14 14 13 12 11 11 11 11 12 13 13 13 12 12 12 12 13 13 14 15 15 15 15 13 11 10 9 8 8 9 11 12 12 11 11 12 13 14 15 16 16 17 17 19 20 19 18 17 14 13 12 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 6 7 7 8 10 10 10 10 10 10 10 10 10 10 9 10 10 9 10 10 10 10 10 10 9 10 10 11 10 10 11 11 10 nan
nan 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 11 12 12 13 13 13 13 12 12 13 13 14 15 15 15 15 14 13 12 11 9 9 9 9 10 11 11 10 11 11 13 14 14 15 16 17 18 20 21 20 19 16 13 12 12 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 8 8 7 8 8 9 10 10 10 9 10 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 12 12 12 12 13 12 12 11 11 11 11 12 13 13 14 14 13 13 13 13 13 14 15 16 16 16 14 13 12 11 10 10 9 9 9 9 9 9 9 11 12 13 14 14 16 18 20 21 21 20 18 16 14 13 11 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 13 14 14 14 13 13 13 13 13 14 15 15 16 15 14 13 12 11 11 10 10 10 10 9 8 8 8 10 12 13 13 14 16 19 22 22 21 20 19 17 15 14 13 12 12 12 10 9 9 9 9 9 8 8 9 9 9 9 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 13 13 13 11 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 13 13 14 14 14 14 13 13 13 13 13 14 14 15 14 14 13 13 12 12 11 11 10 10 9 9 8 8 9 10 11 11 12 15 19 21 23 24 23 21 19 17 16 15 15 14 12 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 13 14 13 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 nan
nan 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 10 9 8 8 8 9 9 8 9 11 14 18 22 24 24 23 22 21 19 18 16 15 13 11 11 11 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 10 9 8 8 8 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 12 12 11 10 10 10 9 9 9 9 8 8 7 7 8 10 13 16 19 20 21 22 22 20 18 17 16 15 15 15 13 10 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 10 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 13 13 13 13 13 13 13 12 12 12 12 11 12 12 13 13 12 11 11 10 10 10 9 9 9 8 8 8 8 8 9 9 11 13 14 15 16 16 16 15 15 15 15 17 18 16 14 12 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 10 10 10 10 9 10 9 8 9 9 9 10 10 10 9 10 10 10 10 10 10 nan
nan 11 11 10 10 10 10 11 11 11 11 11 10 11 11 11 12 12 13 14 14 14 13 13 13 13 13 13 12 12 12 11 11 12 12 13 13 13 12 12 11 11 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 8 9 9 14 18 18 17 16 13 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 10 9 9 9 10 9 10 9 9 9 10 10 11 11 11 11 nan
nan 11 11 10 10 10 10 11 11 11 11 11 11 10 11 11 11 12 13 13 14 14 14 13 13 13 13 13 12 12 11 11 11 12 12 13 13 13 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 9 9 8 7 6 5 4 3 3 4 7 11 14 18 20 18 17 15 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 12 13 13 12 11 10 9 10 10 9 9 10 9 9 10 10 11 11 12 12 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 2 2 4 6 7 6 5 11 24 46 80 127 166 202 233 252 266 275 292 317 347 374 405 410 376 321 312 437 522 593 678 749 715 627 554 517 520 521 531 536 534 527 511 491 486 496 518 525 531 536 540 547 559 569 591 614 641 669 721 797 875 949 1018 1099 1198 1290 1362 1400 1408 1427 1450 1459 1429 1329 1175 1011 859 733 640
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1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 2 2 4 7 9 11 11 9 6 5 7 10 11 14 24 52 93 125 157 200 264 341 360 360 352 340 326 322 331 342 352 361 305 268 277 324 377 415 516 574 572 581 537 552 539 502 458 415 387 373 369 374 376 393 415 433 456 467 494 514 537 572 621 660 702 771 861 962 1069 1156 1244 1330 1397 1404 1393 1388 1392 1401 1397 1318 1192 1042 886 748 661 609
5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 3 4 5 4 5 8 13 17 18 16 12 7 4 6 9 12 17 27 61 96 125 152 183 245 318 357 374 387 388 377 387 400 403 391 401 361 321 310 319 330 349 380 377 367 531 485 467 465 445 400 378 354 330 313 311 308 310 317 346 402 405 427 455 482 493 535 580 632 702 804 909 1020 1127 1231 1330 1398 1413 1410 1400 1392 1383 1335 1236 1106 960 821 713 642 607
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3 2 2 2 2 3 2 1 0 0 1 0 0 0 0 0 0 0 0 0 2 7 16 20 21 22 25 29 29 27 24 23 28 28 23 16 8 1 5 9 13 19 28 37 32 34 45 69 110 127 177 252 320 341 329 316 305 311 355 433 399 329 254 186 138 116 100 92 98 95 134 160 166 156 140 177 184 176 170 195 181 148 118 104 109 135 143 138 132 136 167 194 232 285 364 485 607 731 869 1034 1160 1247 1290 1269 1169 1052 930 822 741 688 664 639 611
4 3 2 2 3 5 5 4 3 2 1 0 0 0 0 0 1 1 3 8 16 27 34 36 35 34 33 32 29 26 20 12 13 15 15 12 7 5 7 11 15 22 37 38 25 10 6 12 45 75 123 192 276 290 282 272 251 222 252 278 273 263 249 219 185 156 126 94 91 89 97 108 116 107 101 110 120 124 116 121 103 83 68 65 78 99 116 124 124 130 144 161 183 223 290 381 483 593 718 877 1021 1140 1205 1190 1091 966 847 751 692 665 653 634 601
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15 18 21 20 20 22 24 28 34 38 37 36 39 44 52 63 65 60 56 61 74 78 76 72 67 62 54 45 35 27 19 13 8 5 3 2 1 1 3 8 14 23 28 31 32 15 7 4 2 2 3 6 11 26 54 107 156 199 236 257 233 200 167 143 138 142 139 127 112 104 103 106 120 141 153 131 128 121 100 73 69 66 58 46 33 22 24 29 32 35 52 69 76 75 74 87 133 201 298 443 637 809 923 944 863 778 682 612 566 542 526 498 464
22 29 34 33 30 30 33 36 36 35 38 40 37 34 45 61 70 65 60 62 62 59 55 54 54 57 56 51 43 33 24 18 13 11 7 4 1 0 1 3 7 12 16 16 21 21 20 17 12 9 6 4 5 11 24 53 87 130 180 219 231 227 204 167 153 144 126 98 71 63 72 89 112 136 158 151 138 115 84 50 37 29 25 20 15 8 5 6 8 6 12 15 17 28 29 35 57 110 210 366 543 709 823 844 811 722 628 558 521 498 474 442 407
18 22 27 25 22 22 23 21 17 15 12 9 8 8 11 19 27 28 28 16 14 17 21 25 33 41 48 50 46 35 26 21 17 15 11 5 1 0 0 1 2 4 7 9 14 21 29 34 33 29 20 15 14 8 13 25 46 79 109 146 183 210 215 185 163 141 114 80 41 29 31 47 76 103 126 133 118 86 56 31 15 6 4 2 2 1 0 0 1 1 1 1 2 11 13 16 27 65 162 310 471 624 738 729 661 592 530 478 443 425 410 386 351
14 15 16 16 15 13 12 10 8 7 7 6 5 4 4 4 5 6 5 3 3 2 3 8 18 30 40 46 45 36 26 20 17 16 12 7 3 1 2 1 1 2 4 6 10 18 30 43 50 51 41 27 22 18 14 13 21 38 59 92 127 156 179 169 147 115 81 54 26 12 8 13 34 52 70 81 77 54 34 21 9 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 15 36 112 245 402 548 642 620 550 474 417 374 347 334 324 307 285
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