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 6 7 8 11 11 11 9 9 9 9 9 8 7 7 8 9 10 9 9 8 9 9 9 9 10 10 10 9 9 9 9 10 11 13 15 17 16 15 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 12 12 13 13 12 12 12 12 13 13 13 12 12 11 10 8 7 nan
nan 9 10 10 10 10 10 9 9 9 10 10 9 8 9 10 12 12 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 12 14 16 16 16 14 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 13 13 13 13 12 12 12 12 12 13 13 13 13 12 12 10 9 8 nan
nan 11 11 10 9 10 10 10 9 9 10 10 10 10 11 12 13 12 12 11 11 11 10 10 10 10 10 10 9 9 8 8 9 10 11 12 14 16 15 14 12 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 12 12 12 11 12 12 13 13 13 13 12 11 12 12 13 14 15 15 15 14 13 13 12 12 12 12 12 12 12 13 13 14 13 13 13 12 12 12 12 13 13 14 14 14 13 12 11 10 9 nan
nan 10 10 9 9 10 11 11 10 10 10 10 10 11 12 12 12 11 12 12 13 13 12 12 12 13 12 11 10 9 9 9 10 10 10 10 12 13 14 13 11 11 10 10 10 10 10 10 11 11 11 12 12 12 13 13 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 13 14 15 15 14 14 13 12 11 10 10 11 11 12 12 12 13 14 14 13 13 13 12 12 13 13 14 14 15 15 15 14 13 12 11 10 nan
nan 9 9 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 13 14 14 14 13 13 14 13 13 12 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 13 14 14 14 14 14 14 15 15 15 14 14 14 14 14 14 14 14 14 13 12 11 10 9 9 9 9 10 11 11 12 13 13 13 13 13 13 13 13 13 15 16 16 17 16 16 15 14 13 12 10 nan
nan 9 9 10 10 11 12 12 12 13 13 12 12 11 11 11 12 13 14 14 13 12 12 13 13 13 13 13 13 13 14 14 14 12 11 10 9 8 8 9 10 10 10 11 11 11 10 11 10 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 14 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 11 10 9 9 8 8 8 8 9 9 10 11 11 12 13 13 14 14 14 14 15 16 17 18 18 17 16 16 15 14 12 11 nan
nan 10 10 9 9 10 10 11 11 11 11 10 10 11 11 13 14 15 15 14 13 11 11 12 11 12 12 13 14 15 15 15 15 14 13 12 10 9 10 12 13 14 15 15 14 14 13 13 13 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 7 7 7 8 8 8 9 9 10 11 13 13 14 15 16 17 18 18 19 19 18 18 17 16 15 14 12 11 nan
nan 11 10 9 9 9 9 9 10 9 9 9 9 10 12 13 14 15 14 14 13 13 12 11 11 12 13 14 15 15 15 15 14 13 13 13 13 14 16 18 19 20 21 21 21 20 19 19 18 17 16 15 14 14 13 13 12 12 13 12 12 12 11 10 10 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 10 11 12 13 14 16 17 19 19 19 19 19 18 17 17 16 15 14 13 12 nan
nan 9 9 8 8 8 9 8 8 8 7 8 9 10 11 11 12 12 13 14 14 13 13 13 13 13 14 14 14 14 13 13 12 12 12 13 14 17 19 20 21 22 22 23 24 25 25 25 24 23 21 18 17 16 16 15 14 14 13 12 11 11 10 10 9 8 7 7 7 6 6 6 5 5 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 11 12 13 15 16 18 19 19 19 19 18 18 17 16 15 15 14 13 12 nan
nan 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 10 11 11 12 12 13 13 14 14 13 13 12 11 10 10 9 9 10 11 11 13 15 16 16 16 15 15 15 18 20 22 23 24 23 21 20 19 19 19 17 16 15 14 13 13 12 11 10 9 9 8 8 8 7 7 7 6 7 7 7 8 8 8 9 9 8 8 8 8 8 7 8 8 9 9 10 11 11 12 13 14 16 17 18 18 18 18 18 17 17 16 15 15 14 13 13 nan
nan 9 9 9 10 10 10 9 9 8 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 9 8 7 7 7 7 8 9 10 11 12 12 12 11 10 8 7 7 8 10 12 13 12 12 15 18 20 19 17 16 15 14 14 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 14 15 16 17 18 18 18 18 17 16 15 15 14 14 13 13 nan
nan 10 10 10 11 11 11 10 10 10 11 12 12 11 11 10 11 11 11 11 11 11 10 10 10 9 9 8 7 6 6 6 7 8 9 10 10 10 11 11 12 12 11 8 5 4 2 2 1 1 4 7 11 14 13 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 13 14 15 16 17 18 18 18 18 17 16 15 15 14 13 13 13 nan
nan 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 6 6 6 7 8 9 10 10 10 11 13 15 17 17 14 12 9 6 4 5 7 9 10 9 10 11 12 12 12 13 13 13 13 13 13 13 13 15 15 14 14 13 14 13 13 12 12 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 15 16 17 18 18 18 17 17 16 15 14 14 13 13 13 nan
nan 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 8 8 7 7 7 9 10 11 10 10 10 12 14 16 19 21 20 18 17 17 18 20 21 19 18 18 19 19 19 18 17 16 16 15 15 15 17 20 22 22 20 17 16 16 15 14 13 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 12 13 13 14 15 16 17 17 17 17 16 16 15 15 14 14 14 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 10 10 9 9 8 9 10 10 9 9 9 10 11 11 12 11 11 10 10 11 12 14 16 18 18 18 20 22 25 25 25 25 25 25 26 26 26 24 22 21 20 20 20 22 25 27 26 23 20 18 17 16 15 14 13 13 12 12 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 13 14 15 16 17 17 17 16 16 15 15 15 15 15 15 14 14 nan
nan 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 10 9 9 9 9 10 12 14 15 17 18 18 18 19 20 22 23 24 26 26 25 26 27 27 26 23 21 20 22 22 22 20 18 17 16 15 14 14 13 13 12 12 12 12 12 12 12 13 13 13 12 12 12 12 13 13 14 16 17 17 17 17 17 16 16 16 16 16 16 16 15 15 nan
nan 9 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 8 8 9 10 11 12 12 11 11 10 10 10 10 10 11 12 12 13 13 13 13 13 12 11 10 9 8 8 8 9 10 11 12 12 12 12 12 13 14 15 16 18 20 22 24 27 28 27 22 18 16 18 22 24 24 22 20 19 17 16 15 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 14 15 16 17 17 18 18 18 17 17 16 16 16 16 16 16 16 15 nan
nan 9 9 9 9 9 8 6 5 5 5 5 6 7 8 10 10 10 10 10 11 12 12 12 11 10 10 9 9 9 10 10 10 11 13 14 15 16 16 14 13 11 10 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 11 13 15 17 20 21 23 22 20 18 18 20 22 23 22 21 20 19 18 17 16 15 15 14 13 12 12 12 12 12 12 12 12 13 14 15 16 17 17 18 18 18 18 18 18 17 17 17 17 17 17 16 16 16 nan
nan 9 9 8 7 6 5 5 5 6 5 5 6 8 10 11 11 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 11 13 14 16 18 17 15 14 12 10 10 10 10 10 11 12 12 11 10 10 10 10 9 9 9 9 10 11 12 13 15 17 18 18 16 13 12 11 11 13 15 16 17 17 17 17 16 15 15 14 13 13 12 12 12 12 12 13 14 15 17 18 18 19 19 19 19 19 19 19 19 19 19 19 20 19 18 17 17 nan
nan 8 7 5 3 2 3 5 7 8 8 9 11 13 13 11 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 11 12 13 15 16 15 15 14 12 11 10 10 10 10 13 14 13 12 11 10 9 9 9 9 9 10 10 11 11 12 12 13 13 13 11 8 5 3 3 5 7 10 12 13 14 14 15 15 15 15 14 14 13 13 13 14 14 15 16 17 18 19 20 21 21 21 22 22 22 22 22 23 23 22 23 22 21 19 18 nan
nan 6 5 4 4 4 5 7 8 10 12 14 15 15 13 11 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 13 14 14 12 10 9 8 8 9 11 12 13 13 11 10 9 8 8 8 9 10 11 11 11 11 11 11 11 10 8 7 6 5 4 4 5 6 7 8 9 11 12 13 14 14 15 15 15 15 15 16 16 16 17 18 19 20 21 23 23 24 25 25 26 26 26 26 26 25 25 24 22 20 18 nan
nan 6 7 9 10 11 11 10 11 12 14 15 14 14 13 11 10 9 9 8 8 7 7 7 7 7 7 6 6 7 8 8 9 8 8 9 10 11 12 13 12 10 9 7 6 5 7 8 9 11 11 10 10 9 8 8 8 9 10 10 11 10 10 9 9 8 6 6 6 7 7 7 7 6 6 6 6 7 8 9 11 13 14 15 16 16 16 16 16 16 16 16 17 18 20 22 24 26 27 27 28 29 29 28 27 27 26 24 23 21 19 18 nan
nan 9 11 13 14 13 12 11 11 12 12 11 11 11 11 11 11 10 9 7 6 5 5 5 6 5 5 5 5 6 6 7 7 8 8 9 9 10 12 13 11 9 7 5 3 4 4 5 6 9 9 9 9 8 8 8 8 9 9 10 10 11 10 9 7 4 3 4 5 6 7 7 7 7 7 7 7 7 8 10 11 12 14 15 16 17 17 17 16 15 15 16 18 20 22 24 26 28 28 29 29 29 28 27 26 24 23 22 20 19 17 17 nan
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nan 9 9 9 11 13 14 14 11 8 6 6 5 5 5 5 5 5 6 9 12 13 12 10 8 8 9 10 11 11 11 10 7 5 4 3 4 6 6 5 3 2 2 4 6 7 7 9 10 10 11 11 9 9 8 8 8 10 12 14 15 15 15 16 18 20 20 17 15 13 12 12 12 12 13 14 16 18 19 21 23 25 28 30 32 35 37 39 40 41 41 41 39 37 36 33 30 27 24 22 20 19 17 16 16 15 14 13 12 11 10 9 nan
nan 12 12 13 14 15 14 12 9 7 7 7 7 7 8 8 8 8 11 13 13 12 9 7 7 7 7 7 8 8 8 6 4 3 2 3 5 6 6 5 5 5 5 7 8 9 10 11 11 11 12 11 10 10 9 9 10 11 12 14 14 13 14 15 17 18 17 15 14 13 13 13 14 15 16 18 20 23 25 27 30 33 36 38 40 42 44 46 47 46 45 43 41 37 34 30 27 24 21 18 16 15 15 14 13 12 12 11 10 10 9 8 nan
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nan 10 9 9 8 7 5 4 4 5 6 8 9 9 10 10 11 11 10 8 6 5 7 9 11 12 11 11 9 7 7 8 10 11 11 12 12 13 15 16 16 15 14 13 12 11 11 10 10 12 13 13 13 12 10 10 10 10 11 12 12 13 12 12 11 12 13 13 14 15 16 18 20 22 25 28 30 31 32 34 35 36 36 36 37 37 37 36 35 35 33 31 28 25 22 20 17 15 13 12 11 10 10 10 10 10 10 11 11 10 9 9 nan
nan 8 8 8 8 7 5 5 5 6 7 8 8 9 10 10 11 12 12 12 10 11 12 12 13 13 13 13 13 13 15 16 18 19 18 17 16 17 18 19 19 19 17 14 13 12 10 10 11 12 12 13 13 11 10 10 10 11 12 12 12 12 12 12 13 16 18 19 19 19 20 22 25 27 29 30 31 31 31 31 31 30 30 29 29 28 28 27 26 26 25 23 21 19 17 15 14 12 10 9 9 8 8 8 9 9 9 10 10 10 10 9 nan
nan 7 7 7 6 5 3 2 3 5 6 7 8 9 11 12 13 15 16 17 17 17 16 16 15 15 16 17 18 19 20 20 20 21 21 20 19 17 18 20 21 21 18 15 13 12 11 11 12 12 13 13 11 11 11 11 12 13 13 13 13 13 13 13 15 19 22 25 25 24 25 27 28 29 30 29 29 28 27 26 25 24 24 23 22 21 21 21 20 19 18 17 16 15 13 12 11 10 8 7 7 7 7 7 8 8 9 9 9 10 9 9 nan
nan 4 3 0 -2 -4 -5 -4 -2 -1 -0 2 5 8 10 13 16 18 19 19 19 19 19 19 19 19 20 20 20 20 18 17 16 16 16 16 15 15 16 19 21 21 18 15 13 12 12 12 12 12 13 12 12 12 12 12 13 14 14 14 13 13 13 14 16 19 25 29 31 31 30 30 30 29 27 26 24 23 22 21 20 19 18 18 18 17 16 16 15 15 14 13 12 11 11 10 9 8 7 6 7 7 7 7 7 8 8 8 8 9 9 9 nan
nan -3 -4 -6 -7 -7 -6 -4 -2 -3 -3 -2 0 4 8 11 14 15 16 17 17 18 18 19 19 20 20 19 17 16 14 12 12 12 12 11 11 12 13 16 18 18 17 15 13 12 12 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 17 24 29 34 36 34 31 28 26 24 22 20 19 18 17 16 15 15 14 14 14 13 12 12 12 11 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan -4 -5 -4 -2 0 3 4 4 3 2 2 3 4 5 6 6 8 12 14 16 16 16 16 15 15 15 14 13 12 11 10 10 10 10 9 9 10 12 13 14 15 14 13 13 12 11 11 10 11 12 13 14 14 13 13 12 12 12 12 12 12 11 11 12 14 19 25 33 36 33 30 26 22 20 19 18 16 15 14 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 5 4 4 4 nan
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nan 12 12 12 12 13 13 14 15 17 18 17 16 13 11 11 14 18 20 18 14 12 10 9 9 10 11 12 12 11 11 11 11 10 10 11 10 10 10 10 12 12 13 14 13 12 11 11 11 11 13 14 15 14 13 11 10 10 10 10 11 10 10 9 9 9 11 17 22 26 29 26 21 18 16 15 14 13 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 6 3 -1 -6 -9 -9 -6 -1 nan
nan 16 16 15 16 17 18 20 22 23 22 19 17 15 14 16 19 20 19 15 11 9 8 7 9 11 12 12 12 11 11 11 11 11 11 11 10 10 11 12 14 16 18 18 15 13 11 11 11 12 13 14 14 13 12 10 9 9 9 9 9 9 9 9 9 10 12 15 18 22 24 21 17 14 14 13 12 12 12 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 8 6 2 -5 -9 -11 -9 -6 -0 5 nan
nan 19 19 20 22 24 26 27 28 27 23 18 16 14 14 16 19 21 20 15 12 10 8 9 11 13 13 13 12 12 12 12 12 12 11 11 11 11 13 15 17 20 23 21 17 13 11 10 11 12 13 13 13 12 11 9 8 7 7 8 8 8 8 9 9 10 11 13 15 17 17 13 11 11 12 11 10 9 9 9 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 12 11 10 10 9 9 8 7 3 -4 -10 -10 -7 -3 2 7 9 nan
nan 19 20 22 25 28 28 27 26 23 19 16 15 15 17 20 24 26 25 21 17 14 12 13 14 14 13 12 12 12 12 12 12 12 12 11 12 12 14 16 18 22 23 20 16 12 10 9 10 11 11 12 12 11 10 9 8 7 7 7 7 7 7 8 9 10 10 11 13 14 12 10 10 11 11 10 8 7 7 10 11 11 10 10 10 9 9 9 10 10 11 12 13 13 13 13 12 11 10 10 9 7 5 0 -6 -9 -6 -1 4 8 9 10 nan
nan 16 17 19 21 22 21 20 20 18 16 16 17 19 22 27 31 31 28 23 20 17 15 15 14 14 13 13 12 12 12 12 12 12 12 11 12 12 12 13 15 18 18 16 14 10 8 9 9 10 11 11 12 11 11 9 8 6 6 6 6 6 7 8 9 9 10 10 11 11 10 11 13 13 12 11 9 9 10 11 12 11 10 10 9 8 8 8 8 10 11 12 13 13 14 13 12 12 10 9 8 6 3 -1 -6 -5 -2 3 7 9 10 10 nan
nan 13 15 16 17 16 16 16 16 15 15 16 18 21 25 28 29 26 23 20 18 17 15 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 9 8 10 11 12 12 10 7 7 8 9 11 11 12 12 12 12 11 8 7 6 6 6 6 7 7 8 9 9 9 9 9 10 12 13 13 13 13 13 13 12 12 11 8 6 5 4 3 3 4 7 9 10 11 12 13 13 13 12 12 10 9 7 5 2 -2 -4 -3 0 5 8 9 9 9 nan
nan 15 16 17 17 16 16 16 15 15 15 16 17 19 21 21 21 18 16 15 15 15 14 13 13 12 11 11 11 12 12 11 11 11 11 10 10 9 7 6 6 6 8 10 8 7 7 7 9 11 12 12 13 13 13 12 10 9 8 8 8 8 7 8 8 9 10 9 9 8 9 10 11 12 13 14 14 14 13 11 8 4 0 -2 -3 -2 -0 3 7 9 10 10 10 11 11 12 12 11 9 8 6 4 1 -1 -1 1 3 7 8 9 9 9 nan
nan 17 18 17 16 16 16 16 15 14 14 14 15 16 16 16 15 14 13 13 12 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 10 9 8 7 6 7 9 10 9 8 7 8 9 11 11 12 12 12 13 13 12 11 10 10 10 10 9 8 8 9 9 9 9 8 9 9 10 11 12 13 13 13 12 10 6 2 -1 -3 -2 -0 2 6 8 8 6 5 6 8 9 11 10 9 9 8 5 3 2 2 3 4 6 8 8 9 9 9 nan
nan 16 15 15 14 13 13 13 13 13 12 13 14 14 14 13 12 11 11 10 10 11 12 13 13 12 11 10 10 10 11 11 11 11 11 11 10 10 10 8 8 8 10 11 10 9 8 8 9 10 11 11 11 11 12 12 12 12 12 11 11 11 10 9 8 9 8 8 8 8 9 9 10 11 11 11 11 11 11 9 7 5 4 5 6 7 9 10 8 5 2 2 4 6 8 9 9 9 9 7 5 3 3 4 5 6 7 8 8 9 9 9 nan
nan 13 13 12 12 11 11 11 11 10 10 11 12 12 12 11 10 9 9 9 10 12 14 15 15 14 13 12 11 11 12 11 12 11 11 10 10 10 10 9 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 7 7 8 9 10 11 11 11 11 11 9 9 9 8 8 9 10 11 11 12 10 8 5 4 5 6 8 9 9 9 10 9 7 6 5 4 3 4 6 7 7 8 9 10 10 nan
nan 12 12 11 11 10 10 9 9 9 10 10 11 11 10 10 9 8 8 9 11 14 15 16 16 15 14 13 13 13 12 12 12 11 9 9 8 8 8 7 6 5 5 5 7 8 9 10 10 11 12 12 12 12 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 8 9 10 11 11 12 12 11 11 10 10 10 10 11 11 11 11 11 10 8 8 9 9 9 11 12 11 11 11 11 11 10 8 4 3 4 5 6 7 8 10 12 12 nan
nan 12 11 10 10 9 9 9 9 9 10 10 10 10 10 9 8 8 9 11 13 14 14 13 14 14 14 14 13 13 12 12 11 10 9 9 8 8 7 6 5 3 4 6 9 11 12 12 12 13 14 14 14 13 11 11 11 10 10 9 9 10 9 9 8 8 7 7 7 8 9 10 10 11 12 12 12 12 11 11 11 12 12 11 11 11 10 9 9 9 10 10 12 13 13 13 14 17 18 18 15 8 3 3 3 5 7 8 10 12 13 12 nan
nan 11 10 10 9 9 9 9 9 10 10 10 11 11 10 9 8 9 11 12 13 13 12 13 13 14 14 12 11 11 11 11 11 11 11 11 10 8 7 6 4 4 6 9 13 15 16 16 15 15 15 15 15 13 12 12 11 10 10 10 9 9 9 9 8 8 7 7 8 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 12 13 13 14 19 22 22 19 11 4 1 1 2 5 7 10 11 12 11 10 nan
nan 10 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 10 11 11 12 12 13 14 15 15 14 12 11 10 10 11 11 12 12 12 11 9 8 7 7 8 10 13 16 18 20 19 17 16 16 16 16 15 14 13 12 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 16 19 20 18 12 4 -0 -2 -1 1 4 6 8 9 9 9 9 nan
nan 9 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 10 11 13 14 15 16 17 16 15 14 13 12 11 11 11 11 11 11 11 10 11 11 11 12 13 15 16 18 19 19 18 17 17 17 17 16 15 14 13 12 12 11 10 9 9 9 8 8 9 9 10 10 9 9 10 10 10 10 10 10 10 10 11 11 12 12 13 12 12 12 12 11 11 11 11 11 13 15 15 14 12 8 5 4 2 2 3 4 5 4 4 5 6 7 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 12 15 16 17 18 18 18 17 17 16 15 14 12 11 10 10 10 10 11 11 12 13 14 14 15 16 17 18 19 19 18 18 17 18 17 17 17 15 14 14 13 11 10 10 10 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 9 10 10 11 12 12 13 13 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 10 9 8 8 7 5 3 3 5 6 6 nan
nan 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 12 14 17 19 19 19 19 19 18 18 18 18 17 15 13 12 11 10 10 10 10 11 12 13 14 14 15 16 18 19 19 19 19 18 17 17 17 18 18 17 15 14 13 12 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 12 13 13 12 12 11 10 10 10 11 11 12 11 11 12 12 12 13 12 12 11 11 10 9 8 8 8 7 5 nan
nan 9 9 9 9 10 10 10 10 10 9 9 10 11 13 14 16 18 19 19 18 18 18 18 18 19 19 19 17 16 14 13 12 12 11 10 10 10 10 11 12 13 14 15 17 18 19 19 19 18 17 16 17 17 17 16 15 14 13 12 12 11 11 12 11 11 10 10 9 9 10 10 10 10 9 9 8 8 8 9 9 10 11 12 12 13 12 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 11 12 12 12 12 12 12 11 9 7 nan
nan 9 9 9 10 10 11 11 11 10 11 12 13 16 17 18 17 17 16 15 15 15 15 16 17 18 19 18 17 16 15 14 14 13 12 11 10 9 9 9 10 11 13 15 16 17 18 19 19 18 18 17 18 17 17 16 14 13 13 13 12 13 13 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 10 nan
nan 9 9 10 11 11 11 12 12 12 13 15 16 17 17 16 14 13 13 12 13 13 13 14 14 16 17 16 16 15 14 13 13 13 12 11 10 9 9 9 9 11 12 14 15 16 18 19 19 19 19 19 18 18 18 16 14 14 13 13 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 nan
nan 9 10 11 12 12 12 12 13 13 14 15 16 15 14 12 12 12 13 13 13 13 13 13 13 14 14 14 14 13 12 12 11 11 11 10 10 9 8 8 9 10 11 13 14 15 17 18 19 19 19 19 19 19 18 16 15 14 13 13 14 14 14 14 13 13 12 11 10 10 10 10 10 10 11 11 11 10 9 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 nan
nan 10 11 12 12 12 12 13 13 13 14 14 13 12 11 11 12 13 14 14 14 13 13 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 8 7 8 9 10 11 12 14 16 17 18 19 19 19 18 18 18 16 15 14 13 13 13 13 14 14 14 13 13 12 11 11 10 9 10 10 11 11 11 10 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 10 10 10 10 10 11 10 10 11 11 11 11 12 12 13 13 nan
nan 11 12 12 12 12 12 12 12 12 12 12 11 11 11 12 13 14 14 15 14 14 13 13 13 13 13 12 12 12 12 12 11 10 10 9 9 9 8 8 8 8 9 9 10 12 14 16 17 18 18 18 18 17 17 16 16 14 13 13 13 13 13 14 14 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 nan
nan 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 14 15 15 15 14 14 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 9 9 9 9 8 9 9 10 12 14 15 16 17 18 19 18 17 16 16 15 14 14 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 11 11 11 12 13 12 12 12 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 nan
nan 11 11 11 11 11 12 12 12 12 12 11 11 11 12 13 14 15 16 16 15 14 14 13 13 13 13 13 12 13 13 13 12 12 11 11 10 10 10 10 10 10 9 8 8 9 11 12 13 14 16 19 20 20 19 17 16 15 15 15 15 15 15 14 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 nan
nan 11 11 11 11 12 12 12 12 12 12 11 11 12 13 14 15 16 16 16 15 14 14 14 13 13 13 12 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 9 8 9 10 10 10 11 13 17 19 20 20 19 17 16 16 16 16 16 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 nan
nan 11 11 11 11 12 12 12 12 12 12 11 11 12 13 14 15 16 16 16 15 14 14 13 13 13 13 12 12 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 9 12 14 17 19 18 17 17 16 16 15 15 15 14 14 13 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 9 9 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 nan
nan 11 11 11 12 12 12 12 12 12 11 11 11 12 13 14 16 16 16 16 15 14 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 7 8 9 11 13 14 14 14 15 15 14 14 14 15 15 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 10 10 10 10 11 10 10 9 8 7 8 8 8 9 9 10 10 11 11 11 11 11 nan
nan 11 11 11 12 12 12 12 12 12 11 11 12 12 13 15 16 17 17 16 15 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 7 7 6 7 7 8 8 9 10 10 11 11 12 14 16 17 16 14 13 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 12 11 10 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 16 17 17 16 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 9 9 8 7 7 6 6 5 5 6 6 7 7 8 9 13 16 16 16 14 12 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 12 13 14 13 12 11 10 9 9 8 8 8 9 9 10 10 10 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 16 17 17 15 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 6 6 6 5 5 4 5 4 5 8 11 13 15 16 15 14 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 11 14 14 13 12 11 10 10 9 9 8 8 9 9 10 10 11 11 11 11 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
5 5 5 6 8 11 15 18 23 29 36 45 53 59 63 66 68 72 74 75 77 77 73 68 57 45 36 31 29 30 32 32 29 26 24 21 17 13 9 9 11 14 19 23 25 28 27 19 10 5 3 3 2 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 2 5 9 13 29 49 75 109 148 182 237 297 355 413 485 540 598 657 704 751 796 859 930 991 1048 1120 1179 1226 1269 1344 1442 1525 1581 1595 1568 1450 1295 1120 955 846 796 778 782 803 846
1 1 1 2 3 7 9 12 16 21 28 39 47 53 58 60 63 69 74 79 85 89 86 75 63 55 50 41 35 32 29 28 30 28 26 24 20 16 12 13 16 21 26 31 32 34 30 22 14 13 11 10 10 10 7 3 3 3 2 1 0 1 1 1 1 0 0 0 0 1 2 2 8 18 32 51 76 111 153 200 254 304 374 447 517 589 631 678 731 792 861 915 983 1053 1119 1173 1215 1294 1389 1481 1544 1546 1517 1431 1285 1094 923 818 749 715 713 735 767
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