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 -3 -2 3 6 6 5 7 8 9 9 10 10 8 5 2 2 5 6 4 3 4 4 5 6 7 7 8 8 8 8 9 13 18 22 22 20 16 13 11 10 8 7 5 4 3 5 7 9 10 9 9 9 9 11 13 15 15 15 14 13 11 10 8 7 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 10 11 11 11 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 6 5 6 8 9 10 10 10 10 9 7 6 6 8 9 9 8 10 nan
nan -1 2 7 10 9 7 8 9 10 11 12 12 11 7 4 4 6 6 5 5 5 5 5 6 6 7 8 8 8 9 11 15 19 22 21 18 15 12 10 9 8 7 5 3 3 4 6 8 9 9 8 8 9 11 14 15 16 15 14 13 12 10 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 8 9 9 10 10 10 10 9 8 8 8 9 9 8 8 11 nan
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nan 5 8 9 8 7 9 12 13 13 12 11 10 9 8 8 8 7 6 6 6 6 6 6 6 6 6 6 7 9 13 16 16 14 10 7 5 5 6 7 8 7 7 5 4 3 4 5 7 8 8 7 8 9 12 14 15 16 16 15 13 12 10 8 7 6 6 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 9 9 10 11 9 8 8 8 8 8 10 11 12 11 9 9 10 10 9 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 9 8 8 8 8 7 8 8 8 8 8 8 7 7 8 9 8 7 8 9 10 10 9 8 8 9 8 8 10 13 nan
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nan 17 18 14 10 9 10 11 11 10 9 8 8 8 8 7 7 6 5 5 4 4 5 6 7 7 8 8 10 11 11 10 8 6 5 5 7 9 10 9 7 6 5 4 2 2 3 5 7 8 9 8 9 10 12 13 14 14 13 12 11 10 10 9 8 7 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 6 7 8 8 8 8 9 10 10 9 8 7 7 7 7 9 11 11 11 10 10 10 10 8 7 7 8 9 9 8 8 9 10 10 10 10 10 9 10 10 9 8 7 6 7 8 8 8 7 7 6 6 6 6 7 7 8 9 10 9 8 8 9 9 9 7 7 8 12 nan
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nan -1 1 3 4 3 3 3 4 5 5 5 4 4 4 5 6 8 9 9 8 6 5 4 4 5 5 6 5 6 7 9 10 10 11 13 15 16 14 12 10 9 10 12 12 10 8 7 6 5 6 5 6 8 11 14 15 14 10 7 5 5 6 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 10 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 9 9 10 10 9 7 6 8 10 11 10 9 9 9 8 8 8 9 10 10 9 8 8 8 8 7 7 7 nan
nan -1 3 6 6 5 4 5 5 6 5 4 4 5 5 7 8 9 11 11 11 10 8 8 7 7 8 9 9 9 9 9 9 10 12 14 16 17 16 14 12 11 12 13 13 12 10 8 6 5 5 5 6 9 13 16 16 14 11 7 5 4 6 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 9 9 9 10 11 11 11 11 11 10 9 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 11 12 12 10 8 8 9 8 8 7 9 10 9 8 8 9 9 8 8 9 10 10 10 9 8 8 8 8 8 7 7 nan
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nan 11 10 9 9 8 8 7 6 7 8 9 9 7 5 3 1 1 3 7 8 9 9 9 7 7 6 5 5 5 6 6 7 8 8 8 8 9 11 13 15 16 15 12 11 10 10 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 10 11 11 12 13 13 13 13 14 14 14 14 13 12 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 11 10 9 8 8 7 7 6 6 8 9 10 10 9 6 4 3 3 7 10 12 14 14 12 10 9 8 8 7 7 7 8 8 8 8 8 9 11 13 15 15 13 12 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 10 11 12 13 13 12 13 13 14 14 15 14 13 12 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 nan
nan 11 10 9 8 8 8 8 8 7 8 9 10 11 11 9 7 6 7 11 15 19 21 21 18 14 12 11 10 10 9 9 10 10 10 10 10 10 12 13 14 13 12 10 9 8 8 8 9 10 10 11 11 12 12 12 12 12 11 11 10 10 10 9 9 8 9 10 11 12 13 13 12 12 12 12 13 14 15 15 14 13 12 11 11 10 11 11 11 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 9 9 9 9 10 10 11 10 9 8 9 9 10 10 9 8 8 10 15 20 25 27 26 22 17 14 12 11 11 10 10 10 11 11 11 11 12 13 14 15 13 11 9 8 8 8 8 9 10 10 11 11 12 12 12 12 11 11 10 10 10 9 8 8 8 9 11 12 13 13 12 11 11 11 12 13 14 15 15 14 14 13 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 13 13 13 12 12 12 11 11 11 10 10 9 9 9 9 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 nan
nan 7 9 10 11 12 13 14 13 11 9 8 8 8 8 8 7 8 12 18 23 28 29 26 22 17 13 11 10 10 10 10 10 10 10 11 12 13 14 16 16 15 13 10 9 8 8 8 9 10 10 11 11 12 12 12 12 12 11 11 10 9 8 7 7 8 9 11 13 14 13 12 10 10 10 11 12 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 10 nan
nan 7 8 9 10 12 14 15 14 11 9 7 6 5 5 6 6 8 13 18 24 27 27 23 19 15 12 10 9 9 9 9 9 10 10 11 12 13 15 18 18 17 15 12 10 8 8 9 10 10 11 11 12 12 12 12 12 12 12 11 11 10 8 7 6 7 9 11 13 14 13 12 11 11 11 11 11 12 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 10 11 nan
nan 8 8 8 9 10 12 13 13 11 9 7 6 5 5 5 5 7 11 16 21 24 23 19 16 13 11 10 9 9 8 8 9 9 10 10 11 12 16 19 20 19 17 13 10 8 8 9 10 11 11 12 12 13 12 12 12 12 12 12 11 10 8 7 6 7 8 10 13 14 14 13 12 11 11 10 10 11 12 12 13 13 12 12 12 12 11 11 11 11 10 10 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 12 11 nan
nan 8 8 8 8 8 9 11 11 11 10 9 8 6 6 6 6 7 10 13 17 19 19 16 14 12 11 10 9 9 8 8 8 9 9 9 9 11 15 19 21 21 18 14 10 8 8 9 10 11 12 12 12 13 12 12 12 12 12 12 11 10 8 7 6 7 8 11 13 15 15 14 13 12 10 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 9 9 9 10 11 12 12 12 11 nan
nan 7 7 7 7 7 8 9 10 11 12 11 10 9 9 8 8 8 9 11 13 15 16 15 13 12 11 10 9 8 8 8 8 9 8 8 8 10 15 19 22 22 19 14 10 8 8 9 10 11 11 12 12 12 12 12 12 12 12 11 10 9 8 7 7 7 8 10 13 15 15 15 14 12 10 8 8 8 9 9 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 11 11 11 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 nan
nan 7 6 7 7 7 8 8 9 11 11 11 11 10 10 9 9 10 10 11 12 13 13 13 12 12 11 10 9 8 7 7 8 8 7 7 8 11 16 19 21 21 19 14 10 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 10 9 8 8 8 8 9 10 12 13 14 13 13 11 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 7 8 9 10 9 9 7 7 nan
nan 6 6 7 8 8 8 9 9 10 10 10 10 9 8 8 9 10 12 13 13 12 12 12 11 12 11 10 9 7 6 5 5 5 5 6 10 14 17 19 20 19 17 13 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 10 10 8 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 9 9 9 8 7 8 nan
nan 6 6 7 8 9 8 7 8 8 9 10 9 9 8 8 9 10 13 14 14 13 12 12 11 11 11 10 8 6 4 3 2 1 2 6 12 16 18 18 17 16 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 7 8 9 9 9 8 8 9 nan
nan 7 7 7 8 9 8 6 6 6 7 8 9 10 10 10 11 12 13 13 13 12 11 11 11 10 10 9 7 5 2 0 -1 -1 2 9 15 18 18 16 14 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 9 9 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 11 11 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 7 6 5 5 6 7 7 8 8 8 8 nan
nan 8 7 8 9 11 10 9 7 7 6 7 8 10 11 12 12 13 15 15 13 11 10 9 8 8 7 6 5 3 1 -2 -2 -0 8 16 19 19 17 14 11 10 10 10 11 11 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 7 6 4 4 4 5 6 7 8 8 8 nan
nan 8 7 8 11 12 13 12 11 10 9 8 8 9 9 10 12 15 20 21 19 15 11 8 6 5 4 3 2 2 0 -2 -1 3 12 19 20 18 15 11 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 8 8 7 7 7 8 8 8 9 10 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 12 12 12 11 11 10 10 11 11 11 10 10 10 10 10 9 9 8 8 8 7 6 5 5 4 5 5 6 7 9 9 9 nan
nan 8 7 9 11 13 13 13 13 12 12 11 10 9 8 9 12 18 26 29 27 22 16 10 5 2 0 0 1 2 2 1 2 7 13 17 17 15 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 12 12 13 13 14 14 14 13 13 12 11 10 9 8 8 8 7 8 8 9 10 11 11 12 12 12 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 6 6 7 8 8 9 10 11 11 nan
nan 8 8 10 12 13 13 12 11 11 11 11 11 11 11 12 15 21 28 31 30 27 20 11 5 0 -2 -0 3 5 7 7 8 10 12 13 13 12 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 15 15 16 15 15 14 13 12 11 10 9 8 8 7 8 8 9 10 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 6 7 8 8 9 9 10 11 12 11 nan
nan 7 8 10 12 14 15 13 11 9 8 8 10 12 15 18 21 23 26 28 27 24 19 10 3 -0 -1 2 6 11 13 13 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 15 16 16 17 16 16 15 14 13 12 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 6 7 8 8 9 9 9 9 10 10 nan
nan 6 6 8 11 15 17 16 12 8 4 4 7 12 18 23 24 22 21 21 20 18 15 8 3 1 2 5 10 14 16 15 12 11 10 10 10 10 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 14 15 16 17 17 17 17 17 16 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 nan
nan 8 6 7 10 13 17 17 14 9 4 3 6 10 16 21 21 19 17 16 15 14 12 8 4 3 5 7 11 14 15 13 11 9 9 9 9 10 11 11 11 11 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 13 14 14 15 16 16 17 17 18 18 18 17 17 16 16 15 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 nan
nan 11 9 9 9 12 15 16 14 11 7 4 5 8 12 15 16 14 13 12 12 11 10 8 6 5 6 7 10 12 11 10 9 8 8 8 9 10 10 10 10 10 10 10 10 9 9 8 9 9 9 10 10 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 12 12 13 14 14 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 14 14 14 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 11 11 10 10 10 9 9 10 10 9 9 9 9 11 12 13 13 13 13 12 11 10 9 nan
nan 12 10 10 9 10 12 14 13 11 8 6 5 6 8 10 10 10 10 10 10 9 8 7 6 6 6 6 7 9 9 8 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 12 12 13 13 14 14 15 15 14 14 14 15 15 14 14 14 14 14 14 15 15 16 16 15 15 14 14 14 14 14 15 14 14 14 13 12 12 11 11 12 12 12 13 13 13 13 14 14 14 14 14 13 13 12 12 11 11 11 11 12 12 12 13 13 14 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 10 9 8 9 9 10 11 11 11 11 11 10 10 10 nan
nan 8 9 8 8 8 9 10 11 10 9 8 7 7 7 7 8 8 8 9 9 9 8 7 6 5 5 5 5 6 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 10 10 11 11 11 11 11 11 12 12 12 13 13 13 14 13 13 13 13 13 13 13 13 12 12 11 12 12 13 14 14 15 14 14 13 13 13 13 14 15 16 16 15 15 14 14 13 14 13 13 14 15 15 15 16 16 16 16 16 16 15 14 14 13 13 13 13 13 13 13 14 14 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 12 13 13 12 10 9 8 9 9 9 9 9 9 10 10 10 10 nan
nan 6 6 7 7 7 7 8 8 9 9 10 11 12 11 10 9 9 9 9 10 9 9 8 7 6 5 4 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 11 11 10 10 10 10 11 12 12 13 12 12 12 11 12 13 15 16 17 17 17 17 16 16 16 16 16 16 16 17 17 17 17 17 18 18 18 18 17 16 16 15 15 14 14 14 14 14 14 15 15 15 15 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 10 9 9 9 9 10 11 11 12 13 12 11 10 9 9 9 9 9 9 9 9 10 10 10 nan
nan 6 6 7 8 8 8 7 7 7 8 11 15 18 17 15 13 12 11 11 11 11 11 10 9 8 7 6 5 5 5 5 5 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 11 12 12 12 12 13 13 12 12 11 11 11 11 11 10 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 12 13 15 16 17 17 18 18 18 18 18 17 17 17 17 17 16 16 16 16 16 17 17 17 17 17 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 13 13 13 12 12 12 12 11 11 11 12 12 12 12 12 13 13 14 14 13 12 12 12 11 10 8 7 7 8 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 9 9 nan
nan 8 8 8 9 10 9 8 7 6 6 9 14 19 21 20 18 15 13 12 12 12 12 11 11 11 10 9 8 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 12 12 12 12 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 12 13 14 15 16 17 17 17 17 17 17 17 17 16 16 15 14 13 13 13 14 14 15 16 16 16 16 15 15 15 15 14 14 14 14 15 15 15 15 15 16 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 13 14 14 14 12 9 7 7 7 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 13 10 9 10 11 11 9 7 5 4 6 11 15 19 19 18 16 13 11 11 10 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 14 14 15 14 14 14 14 14 13 13 13 12 12 12 12 12 13 13 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 15 15 16 16 16 16 16 16 15 15 15 14 13 11 11 11 12 12 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 14 15 15 15 16 16 16 16 16 15 15 14 14 14 13 13 13 13 14 14 14 15 15 14 12 11 11 11 12 12 13 14 15 13 10 8 7 7 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 nan
nan 15 11 9 9 10 10 10 8 7 6 7 9 11 13 14 14 12 10 8 8 7 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 15 15 15 15 15 14 14 14 14 13 13 12 12 12 12 13 13 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 13 14 14 14 14 14 14 14 14 14 13 13 12 11 10 10 10 11 12 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 13 14 14 15 15 16 16 16 16 16 15 15 15 15 14 14 14 13 13 14 14 15 15 14 13 11 10 9 9 8 10 12 13 13 11 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 nan
nan 14 11 9 9 10 10 11 11 11 12 11 11 9 9 9 8 7 6 5 5 5 6 7 9 10 11 11 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 13 14 14 15 15 15 15 15 15 15 14 14 13 12 12 11 12 12 12 13 12 12 11 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 11 12 12 13 12 12 11 10 10 9 9 9 10 11 11 11 11 12 12 13 13 14 15 15 15 15 15 16 16 15 16 15 15 15 14 14 13 13 13 14 14 15 14 13 12 10 9 8 8 10 11 12 11 10 9 8 9 9 9 9 8 8 8 9 10 11 11 12 11 11 10 10 10 10 nan
nan 11 10 10 10 11 12 13 14 15 15 16 15 12 10 8 6 4 3 3 4 6 7 9 9 10 10 11 11 11 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 13 13 13 14 15 15 16 16 15 14 13 11 10 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 12 11 11 11 11 10 10 10 10 10 11 12 12 12 11 10 10 9 8 8 8 9 9 10 10 10 11 11 12 12 13 13 14 14 15 15 15 15 16 16 16 16 16 15 15 16 16 15 14 14 14 15 15 15 15 14 13 12 12 12 13 13 13 12 11 10 9 9 9 10 10 9 8 8 9 10 12 12 13 12 12 12 11 11 nan
nan 8 9 10 11 12 13 14 14 15 16 16 16 16 13 10 7 3 2 3 5 8 10 12 12 12 11 11 11 11 11 12 13 13 13 13 12 11 10 10 10 10 10 11 11 10 10 10 9 8 8 8 8 8 9 10 11 12 13 14 15 16 16 16 15 13 11 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 10 11 11 12 12 13 13 13 14 14 15 15 16 16 16 16 16 17 18 19 19 19 18 16 15 15 15 16 16 17 17 16 16 16 15 15 14 13 13 12 11 11 10 11 12 11 10 9 8 9 10 10 11 12 13 13 13 12 nan
nan 7 8 8 10 11 11 12 12 13 14 15 17 17 17 14 9 4 3 3 6 9 13 15 16 14 13 12 11 11 11 12 12 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 9 10 11 13 14 15 16 16 15 14 12 11 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 12 13 13 14 15 15 16 16 16 16 17 18 19 20 20 19 18 17 15 15 14 15 16 17 17 17 17 16 16 15 14 14 14 14 14 14 13 13 13 13 12 11 9 8 8 8 9 11 13 15 15 14 nan
nan 6 6 6 7 7 8 8 8 10 12 15 18 19 19 17 13 8 5 5 7 11 15 18 18 16 14 12 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 10 10 10 9 8 7 7 7 7 8 9 10 12 13 14 15 15 15 14 12 11 11 11 10 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 12 12 13 13 14 16 16 16 16 16 17 18 19 19 18 17 16 16 16 15 15 14 14 15 15 15 15 15 15 15 15 14 14 14 14 15 15 14 14 14 14 14 14 12 10 8 7 6 8 11 14 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1563 1543 1544 1542 1477 1412 1347 1317 1298 1283 1270 1225 1188 1168 1143 1113 1091 1062 995 913 830 768 719 668 598 518 453 412 393 386 380 373 375 383 449 551 690 868 1049 1168 1161 1091 1016 975 988 1053 1138 1186 1193 1173 1142 1102 1044 970 917 909 903 887 825 693 528 411 324 255 199 154 120 95 84 84 87 91 91 90 89 82 71 59 48 36 22 10 2 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 2 8 10 10 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 6 8 9 11 12 13 14 15 19 25 42 74 121 177 239 302 366 404 447 497 545 584 615 646 673 686 687 672 649 620 578 531 495 463 452 466 476 439 350 212 94 37 17 11 11 15 31 145 328
1480 1462 1458 1473 1447 1373 1272 1232 1194 1157 1144 1130 1108 1106 1098 1058 994 955 966 938 876 795 701 601 506 422 366 341 330 322 311 305 323 332 418 550 718 895 1037 1097 1055 964 882 839 855 923 1004 1045 1021 982 943 904 861 812 774 770 790 800 804 751 612 481 374 285 215 165 132 111 100 96 94 99 99 100 102 97 86 73 59 44 30 17 7 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 3 9 13 16 18 18 15 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 9 9 11 14 16 18 21 22 23 24 36 61 97 135 171 217 290 344 399 456 505 539 567 600 623 624 605 574 539 490 411 319 275 268 298 334 336 288 200 107 43 15 11 10 2 4 13 114 287
1500 1515 1483 1432 1387 1294 1186 1152 1115 1084 1074 1073 1062 1048 1014 969 925 935 1019 995 917 795 664 542 437 352 297 281 264 255 244 245 269 294 418 606 800 938 991 967 905 815 733 688 693 734 783 804 782 752 727 701 665 623 591 600 651 697 750 746 651 524 401 299 223 175 148 135 128 122 114 115 113 115 120 118 108 91 69 49 32 19 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 4 10 15 18 22 24 25 21 16 11 10 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 13 12 14 18 21 24 26 26 27 31 44 63 89 112 138 181 232 283 346 399 443 480 513 540 545 538 514 477 422 335 216 115 90 118 164 192 181 133 87 68 59 74 76 53 31 25 41 155 366
1596 1628 1523 1400 1335 1273 1168 1103 1067 1055 1056 1059 1056 1052 1037 1038 1057 1080 1081 1001 887 748 602 468 359 282 235 216 194 187 185 193 219 274 411 643 802 843 806 745 694 651 594 548 534 539 548 553 537 519 507 491 468 442 425 444 500 571 656 686 633 526 406 303 232 190 172 165 159 144 129 129 128 131 137 138 128 110 84 56 34 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 5 13 19 22 25 28 29 27 24 20 20 15 8 4 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 12 14 16 17 20 23 25 26 28 31 38 50 60 72 87 113 153 183 217 289 334 368 406 442 467 455 438 418 381 301 186 94 43 23 37 50 52 46 35 36 49 60 95 106 80 61 48 111 306 575
1628 1652 1488 1399 1380 1329 1194 1085 1063 1078 1102 1128 1153 1178 1189 1201 1199 1148 1045 910 769 632 487 358 266 207 171 153 135 129 138 158 189 257 400 571 642 625 566 512 485 481 460 427 406 389 374 359 337 322 319 308 296 296 308 327 376 451 543 596 580 504 402 310 249 214 199 191 176 152 129 123 125 130 136 138 132 117 93 64 41 25 12 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 3 8 15 22 26 28 32 35 36 34 31 28 25 17 9 3 0 0 0 0 0 0 0 0 0 0 1 2 6 9 12 14 14 17 19 21 22 24 27 32 37 40 44 46 51 63 86 114 128 146 228 268 297 333 362 375 349 320 304 276 240 204 135 68 24 9 6 4 4 6 11 39 86 110 98 69 49 41 98 328 675
1558 1556 1368 1342 1302 1195 1055 981 1031 1117 1175 1220 1256 1273 1263 1236 1172 1058 916 764 615 477 356 257 187 146 122 109 98 98 117 149 180 232 326 427 468 464 421 374 350 347 339 319 293 265 240 218 195 184 190 182 177 190 213 234 276 346 438 502 512 468 392 315 256 224 208 193 171 143 116 101 102 109 115 115 109 99 87 69 53 36 21 9 3 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 1 0 0 0 0 2 6 11 18 25 29 34 38 43 47 47 44 37 31 24 14 4 0 0 0 0 0 0 0 0 0 0 1 4 8 13 16 17 19 21 24 25 25 27 30 33 36 36 36 36 38 46 59 70 75 83 153 199 231 261 276 263 223 184 178 185 214 249 154 66 22 5 1 1 2 1 4 29 67 77 57 36 35 39 58 360 711
1387 1328 1170 1120 1096 990 879 869 976 1096 1150 1188 1209 1202 1162 1101 1008 882 748 610 470 337 227 164 128 112 101 93 90 102 124 150 172 196 233 294 384 470 470 388 308 269 251 233 201 171 143 117 99 95 102 100 100 111 130 153 191 255 341 408 434 417 369 305 240 209 195 182 159 128 98 78 75 82 86 84 75 64 59 59 55 45 30 14 3 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 5 4 2 0 0 1 2 6 9 14 22 29 34 40 46 53 57 58 53 44 36 31 18 5 0 0 0 0 0 0 0 0 0 0 2 7 12 16 19 20 21 22 26 28 29 30 30 31 33 33 33 31 32 37 43 46 48 49 90 133 168 190 192 169 133 92 102 136 179 219 168 89 36 9 1 1 1 1 3 17 34 40 38 39 43 56 52 324 665
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