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 14 14 13 12 10 10 11 12 13 12 11 10 10 9 9 9 9 9 9 8 9 10 10 10 8 7 7 7 7 7 7 7 8 9 11 12 12 10 8 7 5 4 5 6 8 9 11 11 12 12 13 14 15 16 16 16 15 15 16 16 16 16 16 15 14 13 12 11 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 11 nan
nan 12 13 13 12 10 10 10 12 13 13 12 11 11 10 11 11 10 9 8 7 8 9 10 10 9 8 8 8 8 7 7 7 8 9 11 14 15 14 12 10 8 6 5 6 7 8 9 10 10 11 11 12 13 15 16 16 16 16 16 16 16 16 16 16 15 14 12 11 10 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 9 10 10 10 11 12 12 12 11 11 11 12 nan
nan 11 12 12 12 11 10 10 11 13 13 13 12 12 12 12 11 10 9 8 8 9 10 10 10 10 10 9 9 9 8 8 8 8 9 12 15 17 17 16 14 11 9 7 6 6 7 8 9 9 10 10 10 11 13 14 15 16 16 16 16 16 15 16 16 16 16 14 12 10 9 9 8 8 7 8 8 9 9 9 10 11 11 11 11 11 11 12 12 11 11 11 12 12 11 11 11 11 11 10 10 10 10 11 11 12 12 13 12 12 12 12 nan
nan 10 11 11 11 11 11 11 11 12 13 13 12 12 13 13 12 11 9 9 10 10 10 11 11 11 11 10 10 10 10 9 8 8 9 12 15 18 19 18 15 13 11 9 7 5 5 7 8 9 9 9 8 9 10 11 13 14 15 15 15 15 15 16 17 17 18 17 14 12 11 10 9 9 8 8 8 9 9 10 10 11 12 12 11 11 12 12 12 12 12 12 12 12 12 11 12 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 nan
nan 9 10 10 10 11 11 11 11 11 12 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 9 9 10 12 15 18 21 19 16 14 12 10 8 6 5 6 6 8 9 8 8 8 8 9 10 12 13 13 14 14 14 15 16 17 18 18 16 15 13 11 11 10 10 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 12 11 nan
nan 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 10 9 9 10 10 11 12 11 11 11 11 11 11 11 11 13 15 18 21 19 17 14 12 11 10 8 6 6 6 7 8 8 9 8 8 8 9 9 10 11 12 12 13 13 14 15 16 16 16 15 13 12 12 12 12 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 11 nan
nan 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 11 12 12 12 12 12 12 12 13 14 17 19 19 18 16 14 13 13 12 11 9 8 7 8 8 9 9 9 8 8 8 8 9 10 10 11 11 11 12 12 12 13 13 12 11 11 11 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 12 12 12 12 11 11 nan
nan 11 11 10 10 10 10 10 10 11 11 10 10 9 9 10 11 11 12 12 12 11 11 10 10 10 10 11 12 12 13 13 13 13 14 15 17 18 17 17 16 15 15 16 17 16 15 13 11 10 9 8 8 8 8 8 8 8 9 9 9 10 10 10 11 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 12 11 11 11 12 12 12 11 11 11 nan
nan 11 11 11 11 10 10 11 11 11 12 11 11 10 10 10 10 11 12 12 13 13 12 12 11 10 10 10 11 11 12 13 13 13 14 14 15 15 15 15 15 16 18 19 20 21 20 18 16 14 12 10 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 9 10 11 12 12 12 12 11 11 11 11 12 12 11 11 10 nan
nan 12 12 12 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 12 12 13 13 12 11 11 10 10 10 11 12 13 14 14 14 14 15 15 15 16 18 19 20 21 21 21 21 20 20 18 14 11 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 9 10 11 11 11 12 11 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 12 12 11 11 11 11 11 12 11 11 10 nan
nan 13 13 13 13 12 12 11 11 12 13 12 12 11 10 10 10 10 10 10 10 11 12 12 13 13 13 12 11 11 11 12 12 13 13 14 14 15 15 16 17 18 20 20 20 20 20 21 23 25 23 19 15 12 12 11 9 7 7 7 7 7 8 9 10 10 11 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 7 6 7 7 8 8 8 9 10 11 12 12 12 11 10 10 11 11 12 11 11 11 nan
nan 14 13 14 14 14 13 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 12 12 11 11 12 12 12 13 13 14 14 15 16 17 20 21 21 21 23 27 28 26 22 18 18 19 17 14 11 8 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 9 9 8 8 7 6 6 6 7 8 8 8 9 10 11 12 13 12 11 10 10 10 11 12 12 11 11 nan
nan 15 15 16 16 16 15 14 14 13 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 12 13 14 13 12 11 10 10 10 11 11 11 11 11 11 11 13 16 18 20 21 23 25 25 22 21 22 25 26 24 21 17 14 12 10 9 8 9 9 10 10 11 11 11 12 12 12 13 13 13 13 13 13 12 11 11 11 10 9 8 8 8 7 7 7 7 7 8 8 8 8 9 10 11 12 13 13 12 11 11 11 12 12 12 12 11 nan
nan 16 17 17 17 17 16 15 15 14 14 14 14 14 14 14 14 13 12 12 12 11 11 11 11 11 12 13 14 14 13 12 10 9 9 9 10 10 9 9 9 9 9 10 11 13 14 15 16 15 14 15 20 24 25 25 24 22 20 18 16 14 13 11 10 10 10 11 12 12 12 12 13 13 14 14 14 14 14 13 12 11 10 10 9 8 8 8 7 7 7 7 7 8 8 7 7 8 9 10 12 12 12 12 12 12 12 12 13 12 11 10 nan
nan 16 16 17 16 15 14 14 14 14 15 16 17 16 16 16 15 14 13 12 13 12 12 11 11 11 11 12 13 14 14 12 11 9 9 8 9 9 9 9 9 9 9 8 7 7 7 8 7 7 7 10 13 15 17 19 20 21 22 22 21 19 17 15 12 9 10 13 15 15 13 12 12 13 14 14 14 14 14 14 13 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 10 11 12 12 12 12 12 12 12 12 11 10 9 nan
nan 13 14 14 13 11 10 10 11 13 14 16 16 16 16 15 13 12 12 12 13 14 13 13 12 11 12 12 13 14 13 12 11 9 8 8 9 10 10 10 9 9 9 8 7 6 6 6 6 6 7 8 9 10 11 13 14 15 18 20 20 19 17 14 11 10 13 17 20 19 16 14 12 12 13 13 13 14 14 14 14 13 12 12 11 10 10 10 10 9 8 7 7 7 7 8 9 9 11 12 14 15 15 15 15 16 16 15 15 14 13 12 nan
nan 12 11 11 10 8 8 8 9 10 12 12 12 12 11 10 8 7 8 10 13 15 16 15 14 13 13 13 13 13 12 11 10 9 8 9 10 10 11 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 11 12 13 14 15 15 14 13 11 11 13 16 20 22 21 17 15 13 13 13 13 14 14 14 15 15 15 15 15 14 14 13 13 14 13 12 11 11 11 12 12 14 15 17 18 19 20 21 21 21 22 23 24 23 22 22 21 nan
nan 10 10 9 8 8 7 7 8 9 9 8 7 7 7 6 4 3 5 11 15 16 17 17 16 15 14 13 13 12 11 10 9 9 9 10 10 11 11 10 9 9 9 9 8 8 9 9 10 11 10 10 10 10 11 11 11 12 12 11 11 12 12 11 12 13 15 18 19 18 16 15 15 16 16 15 15 15 16 16 17 18 18 18 17 17 17 18 18 19 19 18 18 18 18 19 20 21 22 23 24 25 26 27 27 28 29 30 30 29 28 27 nan
nan 10 9 8 8 7 7 7 8 9 9 8 8 8 8 7 6 6 8 12 15 16 17 17 17 16 15 14 12 11 10 9 8 8 9 10 10 11 11 10 10 9 9 8 8 8 8 9 11 11 11 10 10 10 10 11 10 10 11 11 11 12 13 12 12 12 14 17 19 19 20 20 21 21 19 17 16 17 17 18 19 20 20 20 20 21 21 21 22 22 23 24 24 24 24 23 23 24 24 25 26 26 27 28 28 29 28 29 29 29 27 25 nan
nan 8 7 6 6 7 8 8 9 9 10 11 12 12 11 10 8 8 10 12 13 13 15 16 16 16 15 14 12 11 10 8 7 7 9 9 10 11 11 11 10 9 8 8 8 8 8 10 12 11 11 10 10 10 10 10 10 9 10 11 12 12 13 12 12 13 17 21 25 27 28 28 27 25 22 20 18 18 19 19 20 21 21 22 22 23 23 23 24 24 25 26 27 27 26 25 24 23 23 23 23 23 23 23 23 24 24 23 22 22 21 19 nan
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nan 9 10 10 10 10 10 11 13 13 12 11 11 11 11 11 12 12 12 11 9 8 9 10 11 12 12 13 13 13 10 8 8 7 7 8 10 10 10 10 9 8 8 8 7 7 9 10 11 11 11 10 9 9 9 9 10 10 11 12 14 16 18 22 26 29 30 29 27 24 23 22 21 21 20 20 19 19 19 19 19 19 20 20 20 20 20 20 20 19 19 19 18 17 17 15 14 13 12 12 11 11 12 12 12 11 10 10 10 10 9 9 nan
nan 10 10 9 8 8 9 10 11 11 10 10 10 11 11 12 12 13 13 12 10 10 10 10 11 12 12 13 14 13 11 9 8 7 8 9 10 11 12 11 10 9 9 8 7 7 8 9 11 12 11 11 10 9 9 10 10 11 12 14 15 17 20 25 29 29 28 25 22 21 20 20 20 19 19 19 18 18 18 18 18 18 18 18 18 18 17 17 17 16 16 15 15 14 14 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 14 14 13 12 13 14 15 15 14 12 10 8 8 9 9 10 12 13 12 11 10 9 7 7 7 8 9 12 12 12 12 11 10 10 10 10 11 13 14 15 16 18 21 22 22 21 20 19 18 18 18 18 18 18 17 17 16 16 16 16 16 16 16 16 15 15 15 14 14 14 14 13 12 12 11 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 nan
nan 8 8 9 11 12 12 11 10 10 11 12 13 13 12 11 11 11 12 13 15 16 15 13 12 13 14 15 15 14 13 11 9 9 10 10 11 13 14 12 10 8 7 7 7 7 8 10 12 12 12 12 10 10 10 10 10 12 12 13 14 14 13 13 13 14 16 17 17 17 17 17 16 16 16 16 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 12 11 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 nan
nan 9 10 12 13 13 12 10 8 9 11 13 14 14 14 13 12 12 14 15 15 13 10 9 10 11 13 14 15 14 14 13 12 12 11 11 12 14 13 11 8 6 5 6 7 7 8 10 11 12 13 12 10 10 9 9 10 11 11 11 12 12 10 10 11 14 17 18 18 16 15 15 15 14 14 14 14 13 13 13 13 12 12 12 12 12 11 11 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
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nan 11 11 12 12 11 10 9 10 11 13 14 15 16 16 16 16 15 14 12 9 6 4 4 6 9 12 14 15 15 15 16 16 16 15 14 13 13 12 10 8 7 7 8 8 9 9 10 10 12 12 11 10 9 8 8 9 10 11 11 11 12 12 13 16 18 19 19 17 15 14 14 13 13 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 nan
nan 11 12 12 12 11 11 11 12 13 14 15 16 17 18 18 18 17 16 15 12 10 8 7 7 9 12 14 14 14 15 16 16 15 14 14 14 13 12 11 9 8 7 7 7 8 8 9 11 12 11 10 8 7 7 7 8 9 11 11 12 12 12 13 13 13 13 15 16 15 14 14 13 12 12 12 12 11 11 11 11 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 nan
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nan 10 9 9 9 10 12 14 15 15 16 17 20 22 22 22 23 23 23 23 22 20 18 16 15 15 15 15 15 15 15 14 12 10 9 9 9 9 9 9 8 8 7 8 9 9 8 8 8 8 8 7 6 5 5 5 7 9 10 10 10 9 10 9 8 7 7 9 11 14 14 13 12 13 12 12 11 11 11 11 11 11 10 10 10 9 8 8 7 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 nan
nan 8 7 6 7 10 12 15 15 14 15 18 23 26 27 27 25 24 24 24 22 21 20 18 17 17 17 16 16 15 14 12 9 7 6 6 5 5 6 8 10 11 11 11 10 10 9 8 7 7 7 7 7 6 6 6 8 9 9 9 8 8 9 9 8 7 6 6 7 11 12 13 13 12 11 11 11 12 12 12 12 11 11 11 11 10 10 9 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 9 9 9 8 8 7 7 8 8 nan
nan 7 7 8 9 11 13 14 13 12 12 15 21 26 28 30 29 28 26 24 22 19 18 17 16 16 17 17 16 15 13 10 7 5 4 4 4 4 7 10 13 16 15 13 11 10 8 7 7 7 8 9 9 8 8 9 9 9 9 8 7 7 7 8 8 7 6 4 5 8 10 11 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 6 4 2 2 3 nan
nan 8 8 10 11 12 12 12 12 11 10 11 15 20 25 29 32 33 31 27 21 17 14 13 13 15 17 18 17 15 13 9 6 5 4 4 5 6 9 12 16 18 17 15 12 10 8 7 7 9 10 10 10 9 8 9 9 9 10 8 7 6 6 6 7 7 6 5 5 5 6 9 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 7 5 3 -0 -4 -6 -8 -7 nan
nan 7 8 9 10 11 11 11 11 10 9 9 11 14 19 26 33 35 33 27 20 15 12 11 11 15 17 18 17 15 12 9 7 6 5 5 6 8 10 12 16 17 17 15 12 10 8 8 9 10 10 10 9 8 9 9 9 10 10 9 8 7 6 6 6 8 7 6 4 2 2 3 4 4 6 8 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 7 6 5 2 -1 -6 -9 -9 -9 -8 -7 nan
nan 6 7 8 10 11 12 12 12 10 6 5 8 11 16 23 29 31 29 24 18 14 12 12 13 16 17 17 17 15 13 10 9 8 7 7 8 8 9 11 13 14 14 14 12 10 10 10 11 11 11 10 9 9 9 9 9 10 10 9 9 8 7 6 6 7 7 6 4 1 -2 -4 -5 -4 -2 1 4 6 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 6 6 5 3 1 -3 -6 -9 -9 -6 -3 0 2 nan
nan 5 7 9 11 12 13 13 12 8 3 1 4 9 14 19 24 26 24 20 17 15 15 16 18 18 17 16 16 15 13 12 11 9 9 9 9 8 7 8 9 9 11 14 14 13 12 11 11 12 11 10 9 8 8 8 8 8 8 8 9 9 8 7 7 7 7 6 4 1 -2 -5 -8 -8 -7 -6 -5 -4 -0 4 6 9 9 9 9 9 8 8 8 8 7 7 6 6 5 5 5 5 4 4 4 3 2 -0 -2 -4 -4 -2 2 5 7 7 nan
nan 6 8 10 12 13 13 13 12 6 -0 -2 1 6 12 18 21 21 19 17 16 16 17 19 20 19 17 16 15 14 13 13 12 10 9 9 9 6 6 5 5 6 12 15 16 16 13 11 11 11 10 9 8 7 6 6 6 6 6 6 8 8 8 9 10 9 8 7 5 4 2 0 -1 -3 -4 -6 -8 -7 -5 -1 3 6 7 8 8 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 3 3 3 2 2 3 5 7 8 8 8 nan
nan 9 9 11 12 13 12 11 11 6 1 -0 1 6 12 17 19 17 15 13 14 16 17 18 19 19 18 16 14 13 13 13 13 11 10 9 6 4 4 4 3 7 13 16 17 17 13 11 11 11 9 8 7 6 6 6 5 5 5 6 7 7 9 11 12 11 10 9 7 6 5 5 4 3 2 -0 -2 -2 -2 -2 0 3 4 5 6 4 3 2 3 4 5 5 5 4 4 4 4 5 5 6 6 5 5 5 4 5 6 7 9 9 9 9 nan
nan 10 11 11 11 11 11 12 11 8 6 5 5 8 13 16 16 13 11 12 13 14 15 16 18 19 19 17 15 13 13 14 13 12 11 8 5 4 4 4 5 9 12 15 18 17 13 11 10 9 8 7 6 6 6 6 6 5 6 6 7 8 10 11 12 12 11 10 9 8 7 7 6 6 5 5 5 4 2 -0 -1 -2 -3 -4 -4 -5 -5 -4 -1 2 4 5 6 6 6 6 6 7 7 7 7 7 6 5 5 7 8 9 9 9 9 10 nan
nan 12 12 11 11 11 12 12 11 10 9 9 9 11 13 13 13 11 10 12 13 12 12 14 17 19 19 18 16 14 14 14 14 13 12 9 7 6 6 5 7 9 11 15 19 17 14 12 9 7 7 7 6 7 7 8 8 8 7 7 8 8 10 10 10 11 11 10 9 9 9 8 7 7 7 6 6 5 4 1 -3 -6 -10 -12 -14 -12 -11 -8 -4 -1 2 3 4 5 6 7 8 8 7 7 7 7 7 8 9 11 12 11 11 10 10 10 nan
nan 13 12 11 10 10 11 12 11 10 9 10 11 12 13 12 10 9 10 11 12 11 11 13 16 18 19 19 18 17 15 14 14 13 12 10 9 8 7 7 8 9 11 16 19 18 16 12 8 8 8 7 7 8 9 10 10 10 9 8 8 9 9 8 9 10 10 10 10 10 10 9 9 8 8 7 7 6 4 2 -2 -6 -9 -11 -10 -9 -7 -6 -6 -6 -6 -5 -2 0 3 5 6 7 7 8 8 9 9 11 13 14 15 14 12 11 10 9 nan
nan 12 11 10 9 9 11 12 11 11 10 10 11 11 11 10 8 8 9 10 10 10 11 13 14 16 18 20 20 19 17 16 14 13 11 10 9 8 6 8 9 9 13 17 18 18 17 13 10 10 9 9 9 9 10 11 11 10 10 9 9 8 7 7 8 9 9 10 10 10 10 10 11 11 10 9 9 7 6 4 2 0 -1 -0 0 1 1 -1 -5 -8 -11 -11 -9 -7 -5 -2 1 4 6 7 9 10 11 12 13 15 16 15 13 12 10 9 nan
nan 10 9 9 9 10 10 11 11 10 10 10 10 10 9 8 7 7 8 9 10 11 12 13 13 14 17 19 20 19 19 17 16 14 12 11 9 7 7 8 8 10 14 16 17 19 17 14 12 11 10 10 10 10 11 11 11 11 11 10 9 8 7 8 9 9 9 10 10 10 10 11 12 13 12 12 11 10 8 7 7 6 7 7 7 6 5 3 -0 -3 -5 -6 -6 -8 -8 -9 -6 -3 2 5 8 10 11 12 12 14 15 16 16 14 13 12 nan
nan 9 8 9 9 10 10 10 10 10 10 10 10 10 8 7 6 6 7 10 11 13 13 12 12 14 17 18 18 17 18 18 18 17 16 14 11 9 8 7 8 11 13 16 18 20 18 15 13 11 10 10 11 11 11 11 11 11 11 10 9 9 9 10 11 11 10 10 9 10 10 12 13 13 13 13 13 12 11 10 10 10 10 10 9 8 8 7 5 5 4 3 2 -1 -4 -6 -7 -5 -1 3 7 9 9 10 11 13 15 16 18 18 17 16 nan
nan 9 9 9 9 10 10 9 10 10 10 10 10 9 8 7 6 7 9 11 12 12 10 10 12 15 17 17 16 14 15 17 19 20 20 19 15 13 11 9 9 11 13 16 20 20 18 16 13 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 10 9 9 9 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 10 10 9 8 8 8 8 7 6 4 2 1 2 4 5 5 5 6 7 9 11 12 15 17 18 19 17 nan
nan 9 8 8 9 9 9 9 9 10 10 10 10 9 7 6 6 8 11 12 11 9 8 10 13 16 18 16 14 13 14 16 18 20 21 20 18 16 13 11 11 12 14 17 19 18 17 15 12 12 12 13 14 13 12 12 11 10 9 10 10 10 10 10 10 8 8 8 8 9 10 10 11 11 11 11 11 11 11 12 11 12 12 12 12 11 11 10 9 9 9 9 9 9 9 8 9 9 7 3 -2 -3 -2 0 3 5 8 10 12 14 15 15 nan
nan 10 9 8 9 9 9 9 9 9 10 10 10 9 8 6 6 9 11 12 10 8 8 9 12 14 15 15 14 14 15 16 17 18 18 17 17 16 14 13 13 14 16 18 18 17 16 14 13 13 13 14 14 13 13 12 11 9 9 10 10 9 9 9 8 7 7 8 8 9 10 10 10 10 10 9 9 10 11 11 11 12 13 13 12 12 11 10 10 10 10 10 10 10 10 11 11 8 3 -4 -9 -9 -7 -6 -3 -1 1 3 4 6 10 13 nan
nan 11 10 9 9 9 8 8 9 9 9 9 10 9 9 7 7 8 10 12 11 10 9 10 11 13 13 13 13 14 14 15 15 16 16 16 16 15 14 13 13 14 16 17 18 18 18 16 15 14 14 14 14 14 13 13 11 10 9 9 9 8 8 8 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 10 11 12 13 13 12 12 11 11 11 10 10 11 11 11 11 10 9 6 2 -3 -5 -4 -4 -3 -3 -4 -5 -5 -3 -0 4 9 nan
nan 13 12 11 10 9 9 9 9 9 8 9 8 8 8 8 9 10 11 13 13 12 11 10 11 12 12 12 12 12 12 13 13 14 15 16 17 15 14 13 12 13 14 16 18 19 19 17 16 15 14 14 14 14 14 13 11 10 9 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 9 9 8 8 8 9 11 12 12 12 13 12 12 12 11 11 11 11 11 11 11 10 9 7 6 5 6 6 5 4 2 -0 -4 -6 -5 -3 -0 2 nan
nan 13 13 12 12 11 10 9 9 8 7 7 7 8 9 10 12 14 15 15 14 13 12 11 11 11 11 11 12 11 11 11 11 11 13 15 16 16 16 14 12 12 13 15 17 19 19 19 18 16 15 15 14 15 14 13 11 10 9 9 9 9 9 8 7 7 8 8 9 9 10 10 10 9 8 8 8 8 8 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 7 5 3 2 1 1 -0 -1 nan
nan 12 12 13 13 13 12 11 9 7 6 7 8 10 12 14 15 16 16 15 14 13 12 11 11 10 10 11 12 12 11 9 8 8 9 11 13 15 16 15 14 14 14 15 17 18 19 20 20 18 17 16 15 14 14 12 11 11 12 12 12 11 10 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 9 9 10 10 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 6 4 2 nan
nan 10 11 12 14 15 14 12 10 8 7 9 11 13 15 15 15 14 14 13 13 12 12 11 11 10 10 11 12 12 11 9 7 6 6 6 8 11 13 15 16 16 16 16 17 18 19 20 21 20 19 17 15 14 14 14 13 13 13 13 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 10 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 nan
nan 10 10 11 13 15 15 14 11 10 10 11 13 14 14 13 12 12 12 12 12 12 12 11 11 10 10 11 12 12 12 10 8 7 5 4 4 5 7 11 14 16 17 17 17 17 18 19 19 19 18 16 16 16 17 16 15 14 13 13 13 13 12 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 8 9 10 11 12 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 10 10 11 13 14 14 14 13 12 12 13 13 13 11 11 10 11 11 11 12 12 12 11 11 11 11 12 12 13 12 12 11 9 8 6 5 3 4 6 10 14 16 17 17 18 18 18 18 18 18 17 18 19 18 15 14 13 12 13 13 12 12 12 12 11 11 10 9 9 10 10 11 11 11 11 10 10 9 7 7 8 9 11 13 14 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 nan
nan 10 10 11 12 13 14 14 14 13 13 12 12 11 10 10 10 10 11 11 12 12 12 11 11 12 12 12 13 13 13 12 11 10 9 9 7 5 3 4 7 10 13 15 17 18 19 19 19 18 18 18 18 18 15 13 12 11 11 12 12 11 11 12 12 12 11 10 10 10 11 11 11 11 11 11 10 9 8 7 7 9 10 12 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 nan
nan 11 11 11 11 12 13 14 14 14 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 12 12 13 13 14 13 12 11 10 10 10 9 7 5 5 5 7 9 11 14 16 18 19 20 19 19 18 18 16 13 12 11 10 10 11 11 10 11 12 12 11 11 10 10 11 11 10 10 10 10 10 9 9 8 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 11 11 12 12 12 12 13 13 13 nan
nan 11 11 11 11 11 12 13 14 14 12 11 10 10 10 10 11 11 11 11 12 12 12 12 11 11 12 12 13 14 14 12 11 10 9 10 10 9 7 6 6 6 7 8 10 13 16 18 19 19 19 19 18 16 13 12 11 10 11 11 10 10 11 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 11 11 11 11 10 10 11 11 12 12 11 10 10 9 10 10 10 10 10 10 11 11 12 12 12 13 13 12 nan
nan 11 11 11 11 11 12 13 14 14 13 12 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 12 13 13 14 13 11 10 9 9 10 9 9 9 8 7 7 6 7 10 13 15 16 17 19 21 21 19 17 14 12 12 12 12 11 12 13 13 12 11 11 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 11 11 10 11 11 10 10 11 12 13 13 12 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 nan
nan 11 11 11 11 11 11 12 13 14 13 12 11 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 12 12 13 12 11 11 10 10 10 10 10 10 9 9 8 7 7 9 11 12 12 14 17 21 23 23 21 19 16 14 13 13 14 14 15 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 13 13 13 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 nan
nan 11 11 11 11 11 11 12 13 13 13 13 12 11 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 10 11 13 16 19 22 22 20 19 18 17 16 15 15 14 14 13 12 11 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 9 9 9 9 9 10 11 11 10 9 9 9 11 13 16 16 16 16 17 16 16 15 15 16 16 16 13 10 9 10 10 10 11 11 11 11 10 10 10 9 8 8 9 10 10 10 11 11 11 12 11 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 10 10 10 9 9 8 7 6 7 8 8 9 9 10 11 12 13 14 15 17 19 17 14 12 11 10 10 11 11 11 11 11 10 10 9 8 8 9 9 10 10 10 10 11 11 11 10 10 9 9 9 10 10 9 8 9 8 8 9 9 9 9 10 10 10 10 9 nan
nan 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 9 8 7 6 5 4 4 5 5 6 7 7 9 14 18 18 18 16 13 12 11 11 11 11 11 11 10 10 9 8 8 8 9 9 10 9 10 11 11 11 11 11 10 10 10 9 8 8 9 9 8 8 8 9 9 9 10 10 10 10 10 nan
nan 10 10 11 11 11 11 10 11 11 12 13 13 13 12 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 9 8 7 6 5 4 3 3 2 2 2 3 7 11 14 18 20 18 17 14 12 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 12 12 11 10 10 9 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 3 8 12 18 30 59 93 118 132 142 151 144 140 136 126 107 84 66 53 43 33 34 49 80 115 148 181 223 260 304 372 473 557 514 507 567 662 723 638 579 572 593 600 704 758 764 745 728 673 667 675 679 681 683 682 685 686 682 669 687 693 683 656 605 684 688 680 669 654 663 675 690 708 726 740 771 810 858 915 1009 1118 1211 1291 1344 1373 1373 1327 1250 1162 1087 1005 957 932 956 1075
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7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 18 19 16 16 23 35 49 67 70 66 61 59 55 50 43 33 21 12 8 9 13 18 25 37 59 88 117 139 150 216 294 345 361 376 460 570 595 517 432 495 498 516 559 602 522 546 575 593 602 616 622 625 614 585 549 554 565 571 570 567 544 515 524 559 600 620 615 612 623 651 671 701 744 796 847 902 956 1006 1048 1083 1113 1174 1249 1312 1345 1317 1239 1151 1067 1007 992 991 981
14 11 7 2 1 0 1 1 0 0 0 0 0 0 0 0 0 1 4 9 16 19 19 17 15 16 27 44 52 52 47 46 43 43 42 35 19 11 8 8 9 10 14 21 32 49 72 106 115 145 192 246 295 330 403 472 491 425 351 367 381 388 418 510 489 501 547 603 660 635 617 602 583 570 537 523 524 531 525 538 531 514 501 513 546 571 584 597 616 647 675 712 765 837 896 948 985 1012 1037 1068 1116 1190 1274 1347 1381 1355 1295 1209 1114 1046 1014 989 962
15 13 11 9 6 3 1 1 0 0 0 1 2 2 2 3 4 6 8 14 22 29 30 25 20 19 27 37 44 45 39 39 40 43 46 41 25 15 11 10 9 8 11 16 21 26 36 68 88 107 136 181 226 281 351 409 429 358 308 293 305 339 342 395 414 418 446 514 570 591 592 565 526 521 510 497 485 506 508 517 517 506 474 484 502 523 546 575 604 635 667 709 776 860 932 979 1010 1046 1096 1138 1184 1245 1322 1372 1367 1328 1264 1184 1090 1025 987 961 930
11 13 15 15 13 8 4 3 1 2 3 6 9 9 10 11 14 18 19 28 39 44 39 29 25 27 30 34 37 40 40 39 39 41 45 39 28 17 11 10 10 9 10 13 16 14 14 29 49 71 95 134 185 247 304 345 361 346 331 320 314 385 376 353 315 263 273 338 415 481 535 513 468 456 472 501 473 494 504 496 475 495 473 466 472 487 501 525 556 593 636 688 779 870 941 991 1023 1085 1151 1209 1251 1278 1313 1318 1287 1233 1164 1085 1012 960 928 908 882
6 9 13 16 16 13 8 5 3 4 6 10 18 24 26 27 30 34 35 41 46 46 44 37 34 32 31 31 33 38 41 40 38 38 41 36 29 20 11 10 10 10 10 10 11 9 8 12 21 36 63 96 135 179 233 276 311 345 378 408 431 469 469 429 343 238 206 210 244 297 387 405 404 393 389 482 457 460 478 489 422 440 444 442 440 448 450 459 492 544 594 656 745 844 933 1002 1039 1092 1157 1229 1267 1257 1244 1217 1170 1107 1047 981 923 884 867 854 837
4 5 7 11 13 12 9 6 5 6 8 13 27 39 43 44 46 48 51 54 58 63 56 49 46 41 33 30 33 37 40 40 37 38 38 36 32 26 19 15 13 12 13 10 9 8 7 9 11 22 43 66 92 123 164 194 232 292 380 448 501 547 586 586 469 358 284 233 219 238 275 296 321 352 295 340 369 390 410 469 423 405 403 407 383 386 391 406 430 487 536 599 678 769 866 951 1013 1061 1104 1154 1164 1150 1126 1094 1044 990 942 891 844 817 809 802 795
4 3 3 5 8 9 7 5 4 5 9 16 31 42 47 50 49 51 58 64 67 76 68 60 58 54 41 36 35 37 40 39 36 36 37 39 40 35 28 22 18 16 17 13 11 10 9 9 11 18 30 44 53 71 91 117 151 197 284 369 463 558 634 652 576 504 452 424 377 357 339 310 272 308 272 274 300 332 333 389 405 383 349 354 321 310 317 334 326 385 444 508 576 653 759 863 957 1029 1061 1074 1056 1025 997 967 931 896 856 811 774 763 762 757 744
7 5 5 4 4 4 4 3 4 5 8 15 32 43 46 49 49 49 54 60 62 67 70 70 68 62 50 43 39 40 42 40 37 36 35 34 33 32 31 29 26 21 18 16 13 10 10 12 16 26 43 57 56 61 70 80 96 128 194 276 371 466 540 597 633 638 616 636 571 505 453 425 345 306 270 251 246 279 282 294 305 309 274 272 266 251 234 272 273 296 345 419 490 569 674 787 896 973 1010 1019 987 934 898 866 833 799 762 719 696 694 704 706 688
12 10 7 4 3 4 4 4 4 5 8 15 31 47 51 49 46 47 49 48 44 45 52 60 64 61 54 48 46 46 45 42 40 37 34 31 31 31 31 30 28 23 18 14 10 8 11 14 19 33 57 76 78 71 65 67 79 102 139 187 252 346 435 529 594 613 637 680 679 621 523 511 422 331 283 265 226 241 245 231 211 235 215 203 205 209 166 188 209 228 259 335 415 516 620 712 819 885 919 936 922 861 821 785 753 718 677 633 614 616 628 626 632
17 17 13 8 7 7 7 6 6 6 8 14 24 37 44 44 44 47 46 39 33 31 36 46 55 54 49 44 40 40 43 44 42 37 32 29 29 30 31 32 30 26 22 18 13 10 9 10 13 20 39 60 77 81 75 76 82 89 104 135 192 269 356 428 452 435 477 544 612 637 547 526 489 433 357 313 259 221 203 198 154 160 153 138 127 141 119 124 141 167 191 244 312 418 542 625 718 788 844 864 819 762 712 672 642 616 586 553 538 551 567 574 584
20 23 21 16 13 11 9 7 7 8 10 14 22 36 42 45 48 52 52 46 38 34 36 44 50 50 45 38 32 32 40 45 44 38 31 25 24 23 23 24 22 18 15 13 14 11 8 5 5 7 21 43 60 60 57 65 77 86 92 115 155 209 275 335 316 279 288 348 433 510 488 464 438 414 383 324 258 188 128 117 98 90 91 95 87 94 97 97 97 114 135 166 211 290 417 510 595 663 700 726 711 656 596 556 509 486 476 469 461 481 498 512 534
19 26 27 22 19 16 12 10 11 12 14 18 29 50 55 56 57 60 60 54 47 41 41 44 47 47 45 39 31 30 37 44 45 39 29 20 13 11 9 8 7 5 4 4 4 5 5 4 3 5 10 19 28 20 27 39 55 73 91 121 155 188 225 276 247 200 177 202 265 327 362 361 325 282 269 237 185 119 46 29 35 46 60 76 77 79 82 85 81 87 95 110 144 217 310 400 496 593 644 644 633 602 522 486 464 420 394 403 416 435 454 476 503
9 14 18 19 19 19 18 15 13 12 13 18 31 51 60 61 62 65 64 57 49 45 44 45 46 48 50 48 38 34 36 40 42 37 26 14 7 3 2 0 0 0 0 0 1 1 2 2 2 3 4 5 6 6 8 14 23 34 59 93 131 169 194 215 205 173 137 131 160 207 238 229 191 171 157 130 84 43 14 5 9 22 42 59 69 75 75 74 72 72 75 87 123 171 235 307 391 505 530 488 464 472 410 360 355 352 325 329 348 382 415 432 456
5 6 7 9 11 13 11 7 6 5 5 3 17 31 45 58 72 69 63 55 48 45 44 44 45 47 52 58 51 43 38 36 33 27 17 7 2 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 3 8 15 32 58 96 130 154 156 133 90 78 85 109 132 115 94 82 78 69 34 14 5 3 8 16 31 49 65 72 66 53 42 40 52 60 76 99 132 178 220 249 281 297 280 283 269 229 204 217 225 240 264 294 331 371 392
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5 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 6 7 9 25 38 47 51 49 39 29 18 8 1 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 3 7 7 3 2 2 1 1 0 0 0 0 2 1 1 1 2 9 15 16 7 6 8 4 1 2 1 0 0 0 0 1 1 0 0 0 0
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17 17 18 20 18 16 14 13 13 14 14 14 13 11 9 7 6 4 3 3 3 3 2 2 2 3 4 5 4 3 2 1 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 2 3 5 6 8 9 11 13 16 19 22
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