Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 6 6 6 6 7 8 9 8 8 7 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 6 6 7 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 11 14 17 18 15 11 10 9 8 6 5 6 8 8 9 11 13 15 17 18 16 13 10 8 7 7 6 5 4 3 3 4 6 7 7 7 6 4 3 3 4 6 7 8 8 8 7 6 6 6 8 9 11 11 9 8 9 11 12 12 11 9 8 7 7 8 9 12 15 16 15 15 14 12 11 10 9 8 6 4 3 2 1 2 2 3 3 3 3 4 5 6 7 8 8 nan
nan 8 8 9 8 8 8 8 8 8 8 7 7 8 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 7 7 7 7 6 6 7 8 8 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 13 16 17 16 13 11 12 12 8 4 3 5 7 8 9 10 11 13 14 15 14 11 9 8 7 6 5 4 4 4 5 6 7 8 7 6 6 5 3 3 4 5 6 7 8 8 8 8 8 8 10 11 13 12 10 8 9 11 12 12 10 8 9 10 10 11 13 16 18 18 16 15 13 11 9 8 7 6 4 4 3 3 4 5 6 6 6 6 6 5 5 5 6 6 7 nan
nan 9 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 10 10 9 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 6 6 5 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 10 13 16 15 14 12 12 12 11 6 1 1 3 5 6 6 5 6 8 10 11 11 10 9 7 6 5 4 4 4 5 6 7 9 9 8 6 5 4 4 3 4 4 6 8 10 11 12 12 10 11 12 13 13 12 9 7 9 12 13 12 10 9 9 11 13 15 17 19 19 17 15 13 11 9 7 6 5 4 4 4 5 6 7 8 9 9 8 7 6 4 2 2 2 3 3 nan
nan 9 9 8 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 5 5 6 6 7 8 8 9 9 9 9 9 10 10 10 10 11 13 13 12 11 11 11 10 7 2 -1 -3 -0 2 3 2 1 1 2 5 8 10 11 10 8 6 5 4 4 5 5 6 7 9 9 8 6 4 3 3 3 3 4 5 9 12 15 15 13 12 12 13 12 10 9 8 7 8 11 12 12 10 9 10 11 14 17 19 19 17 15 13 12 10 7 5 4 4 3 4 5 6 7 8 8 8 8 6 5 3 1 0 0 1 1 1 nan
nan 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 9 9 8 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 8 8 9 9 10 10 10 10 10 10 11 12 12 10 8 8 9 9 6 3 0 -1 -3 -3 -2 -1 -1 -2 -2 -1 1 5 10 12 12 10 7 4 4 4 5 6 7 8 8 8 7 6 4 3 3 2 2 3 5 9 14 16 16 14 13 13 11 9 7 7 8 9 8 9 10 10 10 10 10 11 12 15 16 15 14 13 11 10 8 6 4 4 3 2 2 3 3 4 5 6 6 5 4 3 2 0 0 2 2 1 -2 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 7 7 6 6 7 8 9 9 10 10 10 10 10 11 11 13 13 11 9 7 7 8 7 4 3 3 2 -0 -3 -4 -3 -2 -1 -0 0 1 5 11 15 15 12 8 5 4 5 6 7 7 8 8 8 7 6 5 5 4 3 2 2 4 7 11 14 15 15 14 13 10 7 5 6 9 10 10 8 8 9 10 11 11 11 11 11 11 12 12 11 10 8 6 5 4 2 1 0 0 0 1 2 3 5 6 5 5 4 3 2 2 2 2 -0 -4 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 10 10 9 8 7 6 6 6 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 9 10 11 11 11 11 11 11 12 13 14 12 9 7 6 6 6 6 6 8 8 5 1 -2 -2 -0 2 3 3 4 7 13 17 17 14 11 8 6 5 6 6 7 8 8 9 9 9 9 8 7 5 4 3 4 6 8 10 13 15 15 13 9 6 6 8 10 10 10 9 8 9 10 11 11 10 9 8 10 12 12 10 8 6 5 4 2 0 -1 -2 -2 -1 -0 1 3 6 8 9 9 7 5 4 3 2 1 -0 -4 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 8 7 6 6 5 5 6 7 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 11 12 12 12 11 12 12 13 14 13 11 8 6 4 4 6 8 10 10 8 6 3 2 3 4 4 5 6 9 14 17 18 16 13 9 7 6 6 7 7 9 10 11 12 12 12 12 10 8 6 5 5 6 7 9 12 15 16 14 10 8 8 9 10 10 9 8 8 9 9 10 10 10 9 9 10 12 11 8 5 4 3 2 1 -2 -4 -5 -5 -4 -1 1 3 6 11 14 15 13 9 4 1 1 2 2 -1 nan
nan 7 8 8 8 7 7 7 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 9 9 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 5 5 6 6 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 9 9 10 11 12 13 13 13 12 12 12 13 13 13 11 8 4 2 2 4 5 6 8 8 7 6 5 5 5 5 5 7 10 14 16 17 16 13 10 8 7 7 9 10 10 11 11 12 13 13 13 12 9 8 7 7 7 9 11 14 16 15 13 11 10 9 10 10 10 10 9 9 9 9 8 8 9 10 10 10 9 8 5 3 3 3 2 1 -1 -3 -4 -4 -3 -1 1 2 4 10 16 19 18 13 6 1 -0 4 7 5 nan
nan 7 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 8 9 9 9 9 10 9 9 9 9 9 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 10 10 11 12 13 13 14 13 13 13 13 13 12 11 8 5 2 1 1 3 4 5 6 7 7 7 7 6 6 6 7 10 12 14 14 15 15 12 10 8 8 9 11 11 11 10 10 10 11 13 13 12 11 9 8 8 9 11 13 14 14 13 11 10 9 8 9 9 10 11 11 11 10 9 6 7 9 10 9 7 6 6 5 5 4 4 3 3 2 2 2 3 3 2 2 1 2 6 12 18 21 19 14 7 2 3 6 8 nan
nan 8 8 8 7 7 6 6 6 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 10 11 12 13 13 13 14 14 14 13 13 14 14 14 13 9 4 0 0 2 5 8 10 11 10 9 8 8 8 9 9 9 11 13 14 14 13 13 13 11 9 8 8 9 10 10 9 8 7 8 10 12 13 14 12 10 9 9 11 13 13 12 10 9 9 7 6 5 6 7 9 10 12 13 12 10 7 6 7 7 6 5 5 6 8 9 7 5 3 3 3 4 6 8 9 7 3 0 -1 1 6 14 20 22 20 14 7 3 3 9 nan
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nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 12 12 13 13 13 13 12 11 11 11 11 11 12 13 14 16 14 10 4 1 1 4 6 10 13 14 10 7 7 12 16 17 15 13 13 13 13 14 14 13 12 11 9 8 7 8 8 8 7 7 7 8 9 11 11 12 12 13 13 13 13 13 11 8 4 4 7 8 7 6 6 7 7 7 8 10 9 7 5 5 7 6 4 2 2 4 6 8 8 5 1 -2 -3 -3 -1 5 9 9 6 1 -1 -1 2 6 11 14 15 15 13 10 9 13 nan
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nan 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 11 11 12 12 13 13 13 12 12 13 14 15 16 17 16 13 8 5 4 4 5 6 6 3 -0 -0 2 4 6 5 1 1 5 10 14 14 13 12 11 10 10 11 12 13 13 13 12 10 7 5 6 9 13 14 12 10 8 8 8 9 9 9 10 11 13 15 15 12 9 9 10 10 9 10 11 11 9 7 7 8 8 7 7 8 8 8 7 7 8 9 8 5 2 0 1 4 10 16 18 16 13 10 8 5 3 2 1 1 1 3 6 11 15 18 19 17 15 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 10 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 10 12 13 13 13 14 14 14 13 13 13 14 15 17 18 18 17 17 14 10 6 3 2 1 2 3 3 1 -1 0 2 5 6 5 3 4 8 11 12 11 9 9 10 10 10 10 11 11 11 12 12 10 8 7 8 11 14 14 11 9 8 8 10 11 11 10 9 8 8 10 11 10 8 9 10 10 8 7 7 7 5 4 5 7 8 8 9 9 8 7 7 8 11 12 11 6 3 1 1 2 5 11 14 15 14 12 10 7 5 4 2 2 2 3 5 9 13 17 19 20 18 16 nan
nan 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 10 10 9 9 9 9 8 8 9 9 9 9 10 10 10 10 11 10 10 9 9 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 8 9 9 11 13 13 14 15 16 16 15 14 14 16 18 21 23 23 20 18 15 12 9 5 3 2 1 1 1 1 1 3 6 9 11 10 8 7 7 9 10 10 9 8 7 8 10 10 10 9 10 10 11 12 11 10 10 12 14 15 14 12 10 10 10 11 12 12 10 8 6 5 5 7 8 7 9 11 11 9 7 6 6 5 4 5 6 6 8 9 9 8 7 8 10 12 13 11 7 5 4 3 3 3 7 10 13 13 12 10 10 9 7 6 4 4 4 5 6 9 14 17 19 18 15 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 10 10 9 9 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 14 15 17 17 16 16 15 17 21 24 24 22 19 17 14 11 9 7 6 6 5 3 2 1 3 7 12 17 18 16 13 10 9 9 10 9 9 8 8 9 9 10 9 9 10 10 11 12 12 12 13 14 15 15 14 12 11 11 12 12 12 11 9 8 7 4 2 3 5 7 9 12 13 11 8 7 7 7 7 7 7 7 8 9 9 9 9 10 11 12 12 11 9 7 6 5 4 5 6 8 10 10 9 9 9 10 10 9 7 6 5 4 4 6 10 13 14 13 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 7 8 8 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 14 15 16 18 19 20 19 19 19 18 17 16 18 20 20 17 14 11 9 8 8 8 10 10 9 6 3 3 5 9 12 15 16 15 14 11 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 13 14 14 13 12 11 11 11 12 12 11 10 9 8 8 5 -0 -1 3 7 10 13 14 12 9 7 7 8 9 10 9 8 9 10 11 11 11 12 12 12 12 11 11 10 7 6 6 6 7 8 8 8 7 7 7 8 9 10 9 8 6 4 4 5 7 9 9 9 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 14 18 22 25 28 29 29 28 24 22 20 19 16 14 13 14 15 13 9 6 4 4 5 8 10 10 9 7 4 4 5 5 5 5 6 9 11 12 11 10 10 9 9 10 10 11 11 11 11 11 11 10 10 10 11 12 12 11 11 10 10 10 10 10 11 11 11 10 9 9 8 5 -1 -2 3 8 11 13 14 12 9 7 7 8 10 10 10 8 8 9 10 11 12 13 13 13 12 11 12 11 9 7 7 8 10 10 10 10 8 7 6 6 7 9 10 9 7 5 5 6 7 8 7 7 6 nan
nan 8 8 9 9 9 9 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 9 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 8 8 10 15 20 26 32 36 37 35 33 30 24 20 17 16 13 11 10 12 14 13 8 4 3 4 5 6 8 9 8 7 5 4 1 -2 -4 -5 -3 2 7 11 12 11 10 10 11 12 13 13 13 12 11 10 10 10 11 12 12 12 11 9 8 8 9 9 9 9 9 10 10 10 10 9 8 4 -0 -1 4 9 12 13 14 12 9 7 8 9 10 9 8 7 6 6 8 9 10 11 12 12 11 10 11 11 10 10 11 12 13 14 13 13 11 8 6 6 7 8 9 8 7 6 7 8 8 8 7 6 5 nan
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nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 10 14 18 20 20 21 23 24 23 19 16 13 12 11 9 7 5 2 3 5 7 7 6 6 6 6 4 2 1 3 4 5 3 -1 -4 -6 -4 -2 -1 2 5 9 12 13 14 15 17 17 15 13 10 7 6 7 9 11 14 16 15 12 9 7 7 8 8 8 7 7 6 6 6 8 8 8 8 7 7 9 12 14 16 16 14 11 9 9 7 5 4 3 3 4 5 7 7 7 8 9 10 12 13 13 14 14 13 14 15 17 17 17 16 14 12 11 10 9 9 8 7 7 6 6 5 4 3 2 1 0 nan
nan 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 6 7 8 8 8 8 9 11 14 15 15 13 12 13 14 14 13 11 9 8 9 9 8 5 1 -1 0 3 7 8 8 8 8 5 2 1 1 2 3 2 0 -2 -3 -3 -2 -2 -2 1 5 11 14 15 15 13 11 10 10 9 7 6 6 8 11 14 15 13 11 9 7 7 8 8 8 7 6 6 5 5 6 8 9 11 11 10 10 12 13 14 14 13 11 8 6 3 2 2 3 3 4 7 9 10 10 10 10 11 12 13 14 14 14 13 13 14 16 17 16 14 13 12 12 10 8 7 7 6 5 5 3 2 2 3 4 4 3 nan
nan 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 11 10 10 9 7 6 6 6 7 7 8 8 8 9 10 12 13 12 11 10 9 9 9 9 8 6 4 3 5 8 9 7 4 1 1 4 8 10 11 11 10 8 6 5 4 4 4 4 2 -0 -2 -2 -2 -2 -3 -1 4 10 15 16 14 9 4 4 6 8 8 7 8 10 13 14 13 10 9 8 7 7 8 9 8 7 7 6 5 5 6 8 10 12 11 10 10 10 11 11 10 10 8 6 4 2 1 3 4 5 6 8 11 13 14 13 12 11 11 11 12 13 13 13 13 14 15 14 12 10 10 10 10 8 6 6 6 5 4 3 2 3 4 7 9 10 8 nan
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nan 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 6 5 6 6 7 7 7 7 8 9 10 12 13 15 14 12 11 10 8 7 5 5 5 4 3 2 3 9 14 15 11 5 -0 -1 3 8 12 15 16 15 13 12 12 12 12 12 10 8 7 8 8 9 9 10 12 15 17 17 14 9 4 1 1 2 3 5 8 13 17 16 12 9 8 8 8 8 9 9 9 8 6 4 3 6 9 11 10 9 8 8 8 8 8 8 8 8 6 4 3 4 5 7 10 12 14 16 17 16 14 12 11 11 11 10 10 11 13 15 16 16 14 10 5 4 5 6 7 7 7 7 7 7 7 7 8 10 12 12 12 11 9 nan
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nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 11 11 11 14 21 28 30 29 22 13 9 7 6 5 6 8 11 14 15 16 16 16 15 14 11 10 9 8 7 8 12 17 20 19 14 9 5 3 4 5 6 6 7 8 9 9 9 10 11 11 11 10 10 9 9 8 7 6 5 4 3 3 4 6 8 10 12 13 13 13 14 16 17 16 14 11 8 8 10 10 11 11 10 9 8 6 5 5 6 9 13 17 19 16 12 12 12 14 13 10 9 8 8 7 7 6 5 4 6 7 8 9 8 8 10 12 12 11 11 11 12 13 12 11 10 8 7 6 5 4 5 6 7 7 6 7 9 10 10 9 10 10 10 11 13 14 16 15 14 11 8 4 1 0 1 3 6 9 13 17 23 26 24 nan
nan 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 11 14 19 27 30 29 24 15 8 7 7 7 8 10 13 15 16 15 15 15 15 14 12 9 7 6 6 9 13 18 19 17 13 8 5 4 5 7 7 7 9 11 12 12 11 10 10 11 11 11 11 11 11 11 11 10 9 7 6 5 5 5 6 8 10 11 11 10 11 13 16 17 17 13 10 9 9 10 11 11 10 9 8 7 7 7 7 9 13 15 16 14 12 14 15 15 13 10 9 9 8 7 6 5 5 5 6 7 9 10 9 8 9 11 12 12 12 12 12 11 9 7 7 7 6 5 4 4 5 5 6 7 9 12 14 15 14 12 11 11 12 13 13 14 15 16 15 13 9 4 1 2 4 7 9 10 11 15 20 24 23 nan
nan 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 11 14 19 27 33 32 27 18 11 8 8 8 9 11 14 16 17 17 16 15 15 14 13 10 7 5 5 8 12 17 18 16 12 9 7 7 8 10 10 10 13 15 16 14 10 8 7 8 8 9 9 9 10 11 11 12 11 10 9 8 6 5 5 6 8 10 10 9 8 10 13 16 17 16 13 11 10 10 10 10 10 9 8 8 8 8 9 10 12 15 16 17 16 15 13 11 9 9 11 11 11 9 6 5 7 8 9 9 9 9 10 9 10 11 11 11 11 10 9 8 5 5 6 7 7 8 8 8 7 5 5 6 9 14 17 18 16 14 14 14 15 16 15 14 15 15 15 12 7 2 0 3 7 9 10 10 10 13 18 20 19 nan
nan 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 13 20 27 33 35 29 21 14 10 8 8 8 10 13 16 17 18 18 17 16 15 13 11 7 5 5 8 12 18 19 17 14 11 8 8 9 11 12 13 15 18 18 15 11 9 9 9 9 9 8 8 8 9 9 10 11 11 11 10 8 6 7 8 9 11 11 9 7 8 10 14 16 17 16 13 12 11 10 10 9 9 9 10 10 10 10 10 11 15 17 18 16 12 8 6 7 11 14 13 12 9 7 8 11 12 12 10 8 7 6 7 8 9 10 10 10 9 8 7 7 7 8 9 10 12 14 13 10 7 6 6 8 12 14 14 14 15 16 18 20 20 18 16 14 12 10 7 2 -1 -1 3 7 9 9 8 9 13 16 17 16 nan
nan 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 11 13 19 26 31 33 29 21 15 11 8 6 6 8 11 14 16 18 18 18 16 15 14 11 8 6 5 7 12 17 19 19 16 12 10 10 12 14 14 14 15 17 17 15 13 13 14 13 12 10 9 8 7 6 7 8 9 10 10 10 11 11 11 12 11 11 11 10 9 8 8 11 14 15 15 13 12 12 11 11 10 10 10 11 11 11 10 9 10 13 16 16 14 11 8 8 10 13 12 11 9 8 10 13 14 14 13 11 7 4 2 3 5 6 8 9 9 9 8 8 8 9 10 11 14 17 18 15 12 8 7 7 8 10 10 10 12 15 18 21 22 23 21 18 14 9 4 -1 -3 -1 2 6 8 9 8 8 10 13 14 15 14 nan
nan 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 13 18 25 30 32 28 20 12 9 6 5 5 6 9 11 13 15 16 16 16 14 13 10 8 6 5 6 10 13 15 15 14 12 11 13 16 18 16 14 12 11 12 12 12 12 13 14 14 12 10 8 6 5 6 7 9 10 10 11 13 15 15 14 11 9 9 10 10 11 10 11 11 12 12 12 12 12 12 11 10 11 11 12 12 11 10 9 9 11 13 13 13 12 13 13 12 11 10 8 7 9 14 17 16 14 11 9 6 4 2 3 4 6 7 8 8 7 7 8 9 9 10 11 14 17 18 15 11 8 6 7 8 10 12 13 15 18 19 20 20 20 19 16 11 4 -2 -5 -3 2 6 8 10 9 9 9 11 12 13 13 13 nan
nan 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 13 17 23 29 30 27 18 11 9 8 8 8 7 8 8 10 12 13 13 13 12 11 10 9 7 7 7 8 10 11 10 9 9 11 14 18 19 17 13 9 7 6 7 7 7 8 10 12 12 11 8 6 5 6 9 11 12 12 12 13 14 13 10 8 6 6 7 9 11 11 11 11 11 12 12 12 11 11 10 10 10 11 12 12 11 10 9 9 9 10 11 12 13 14 14 12 11 9 9 11 14 18 18 15 11 9 8 7 4 3 5 8 10 10 9 6 6 7 8 10 10 9 9 9 11 13 11 8 5 3 3 7 12 17 21 22 21 19 16 14 14 13 11 6 0 -4 -5 -2 3 6 8 9 10 10 10 11 12 13 13 13 nan
nan 8 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 13 17 22 27 30 25 18 13 12 13 13 12 11 9 9 9 10 11 10 10 9 9 9 9 9 8 7 7 7 8 8 7 7 9 12 15 16 15 12 9 7 7 7 6 5 5 6 8 9 9 7 6 7 9 12 15 16 14 12 10 8 6 5 4 4 6 7 8 9 9 9 10 11 11 11 10 9 9 9 9 10 11 11 12 11 10 10 10 10 11 11 11 12 13 12 11 10 10 12 15 19 21 20 16 12 9 9 8 5 5 7 11 13 12 8 5 5 8 10 11 11 9 6 5 5 7 7 6 3 1 1 5 12 18 23 23 20 16 11 8 7 6 5 2 -2 -4 -4 0 4 7 8 9 9 9 10 10 12 13 14 14 nan
nan 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 13 16 21 26 30 27 21 16 14 14 14 13 12 11 10 10 10 10 10 9 8 7 7 8 9 8 7 6 6 8 8 7 7 8 10 11 11 10 9 8 8 9 9 8 7 7 6 7 6 5 5 7 9 12 16 19 18 14 10 6 3 2 2 4 6 7 8 8 7 7 7 8 9 8 8 7 7 8 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 10 12 15 19 22 22 20 16 12 10 9 8 8 10 12 12 9 5 3 5 10 12 13 12 9 6 3 2 3 5 6 6 6 4 5 8 12 16 17 15 12 8 4 3 3 3 3 0 -1 -0 3 7 10 11 10 9 8 9 10 12 13 14 14 nan
nan 7 8 7 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 9 9 9 10 10 11 11 11 11 12 12 12 15 21 27 31 30 23 17 13 12 11 11 10 9 10 11 12 13 14 12 10 8 6 6 6 6 5 6 7 9 9 8 8 8 9 9 8 8 7 7 7 9 10 10 10 10 9 8 6 5 7 9 12 14 16 18 16 11 6 3 2 5 7 8 9 8 8 8 7 7 7 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 9 9 11 15 20 22 23 20 15 12 11 11 11 11 9 7 2 -0 2 6 11 13 15 14 12 7 3 3 4 7 10 12 11 9 7 7 8 10 12 13 10 6 3 2 3 4 5 4 4 6 8 11 13 13 11 9 7 8 9 11 13 15 14 nan
nan 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 12 14 19 27 31 31 24 16 12 9 8 8 8 8 9 12 15 17 18 17 13 9 5 4 3 3 5 8 10 11 11 10 9 8 9 10 10 9 8 8 8 8 9 9 9 10 10 9 7 7 9 11 13 14 14 13 12 8 4 4 6 11 16 15 12 9 7 6 6 7 8 9 9 9 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 9 8 10 12 13 11 8 5 6 10 14 17 18 19 17 13 10 9 9 9 7 4 1 -0 2 6 10 14 16 16 13 7 4 3 5 8 11 14 15 13 11 9 10 11 13 13 10 6 4 4 5 6 6 7 8 11 13 14 15 14 10 7 6 6 8 10 12 14 14 nan
nan 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 14 18 25 30 31 25 17 11 8 7 7 8 8 9 13 17 20 21 20 15 9 6 4 4 5 7 10 13 15 14 13 12 11 12 13 13 12 12 11 11 9 8 7 7 8 8 9 9 9 9 11 12 12 11 9 8 7 6 8 11 15 18 17 14 10 6 5 5 8 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 10 12 13 11 7 3 2 5 7 9 11 13 15 12 6 3 4 7 9 8 5 3 4 7 10 14 17 16 11 5 2 2 3 5 7 10 14 15 14 12 11 12 13 13 10 7 6 5 6 7 7 9 10 13 14 15 14 11 8 6 5 5 7 9 12 14 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
28 28 31 34 37 38 38 37 36 37 36 36 37 38 35 32 32 32 31 31 30 31 33 32 32 32 31 31 30 30 29 26 29 33 33 31 28 28 26 24 22 20 17 16 19 18 19 17 14 15 18 19 16 11 8 6 5 4 4 4 2 3 4 6 8 10 11 11 11 10 9 9 9 9 8 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 5 6 6 6 6 6 5 4 5 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 16 191 1638 2366 2395 2048 1569 1072 707 757 855 735 453 230 174 162 133 138 173 212 260 311 371 437 490 595 706 789 863 947 1012 990 833 608 441 287 268 364 647 1086 1547 1754 1766 1658 1622 1586 1426 1171 985 944 829 613 423 250 133 81 53 21 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
22 25 27 29 31 34 35 36 36 36 33 30 30 30 28 27 29 32 33 34 33 32 33 32 32 28 26 26 26 27 25 22 25 30 30 28 25 24 24 22 21 21 20 19 18 16 19 19 18 17 17 18 15 11 8 7 6 5 5 4 3 4 6 8 9 10 11 11 11 12 10 9 9 9 8 8 7 7 7 6 6 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 6 6 6 6 5 4 5 5 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6 52 272 1259 1549 1357 1016 677 406 255 262 334 337 264 189 154 142 130 133 142 166 229 310 402 489 559 632 716 798 891 986 1029 960 769 541 413 256 174 173 382 864 1430 1688 1594 1415 1422 1488 1417 1207 1025 974 831 517 325 187 105 66 42 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 26 27 28 31 32 31 30 30 29 28 25 25 22 23 26 30 33 36 36 33 32 30 30 30 22 17 19 24 27 27 26 27 32 30 25 21 20 19 20 22 24 22 18 15 16 22 23 20 20 18 16 14 12 9 9 6 4 4 4 4 6 8 9 10 11 12 11 11 11 9 9 9 8 7 6 6 7 6 5 5 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 6 5 6 5 4 4 4 5 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 56 238 608 709 577 389 226 119 77 92 135 171 172 154 142 146 161 175 181 188 264 353 444 531 606 673 747 829 919 992 992 869 659 444 292 185 143 161 253 615 1113 1410 1373 1239 1298 1398 1354 1190 1041 927 687 332 203 138 92 62 40 19 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 27 26 26 29 28 26 24 24 24 25 24 23 22 26 29 31 33 33 31 29 29 30 33 32 25 22 24 27 28 27 27 28 27 20 19 19 17 17 20 23 24 22 21 21 25 30 33 29 22 17 15 13 11 10 9 6 3 4 5 6 8 9 10 11 11 11 11 11 10 8 9 9 8 7 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 6 4 4 4 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 67 160 223 211 123 66 40 41 61 89 119 141 147 148 159 187 224 254 278 328 408 478 551 611 661 723 797 876 929 883 720 518 336 206 139 143 178 248 478 841 1133 1212 1173 1201 1251 1221 1169 1035 776 460 235 179 140 98 68 46 29 15 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 24 23 23 23 25 25 24 24 25 25 25 25 26 30 31 33 32 29 27 28 30 30 32 31 31 32 34 33 30 27 26 29 27 19 20 23 17 17 20 24 26 27 28 30 32 31 29 26 22 16 15 12 9 6 6 5 3 5 6 8 9 10 11 12 12 11 11 10 10 9 9 7 7 7 7 6 5 4 4 5 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 29 61 71 42 30 29 40 59 82 110 146 177 183 187 208 250 302 354 407 472 541 607 623 624 653 718 788 813 718 551 368 213 116 115 214 261 318 432 632 823 924 951 991 1054 1061 1055 848 547 317 220 187 139 91 59 37 20 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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16 14 11 9 8 8 8 8 9 9 10 13 22 22 20 19 19 17 17 17 17 21 20 16 13 11 8 7 8 8 9 10 13 14 14 12 11 10 11 10 9 11 13 13 12 10 8 7 8 8 9 9 9 10 12 13 13 13 13 13 12 10 8 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 4 16 42 23 9 2 5 18 36 54 52 38 32 56 117 182 190 158 120 80 42 13 0 0 0 1 12 62 138 206 262 274 262 265 283 298 295 269 235 191 144 102 74 57 40 27 22 21 17 10 3 0 0 0 0 0 0 0 0 0 0 0 0 5 21 47 70 54 19 14 11 6 8 23 51 86 87 53 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 11 8 7 8 8 9 9 9 8 10 14 19 20 17 14 11 10 11 12 14 19 22 20 16 13 10 8 9 8 7 7 8 9 8 8 8 8 8 7 8 11 11 13 13 11 8 9 10 10 10 9 9 9 12 12 12 12 12 11 9 8 6 5 4 3 3 3 3 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 24 96 177 132 64 34 35 45 50 45 29 19 32 85 159 195 165 122 96 76 45 15 0 0 0 0 2 17 45 76 108 130 131 149 185 218 232 224 201 162 149 119 77 44 26 15 10 13 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 3 0 0 0 0 0 2 16 59 79 47 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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