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 10 9 8 7 7 7 7 7 7 7 8 9 10 11 12 14 15 17 17 15 11 8 6 7 9 11 11 11 10 10 10 11 12 12 11 10 10 8 7 7 6 7 8 10 11 12 12 12 12 12 12 11 11 11 11 13 13 11 9 7 7 8 9 10 10 11 11 11 11 10 10 10 11 12 13 13 12 11 10 10 9 10 10 10 11 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 9 11 11 10 9 10 10 9 8 8 9 12 16 18 17 15 13 11 10 9 9 8 8 6 5 3 3 3 4 5 8 10 11 11 10 6 3 1 1 3 5 4 4 4 5 6 7 7 5 2 2 5 8 10 10 8 5 3 4 6 9 10 11 12 12 11 11 12 15 18 20 19 18 17 17 14 9 5 4 4 3 3 2 2 4 6 8 nan
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nan -7 -9 -10 -9 -7 -3 1 5 8 9 8 7 8 10 12 16 20 24 25 24 20 16 10 7 6 6 7 9 12 14 14 13 12 10 9 8 8 8 8 9 10 12 14 16 17 18 17 15 13 11 10 11 14 16 18 17 16 13 11 8 8 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 12 14 16 16 15 14 12 11 10 10 10 10 9 8 8 8 9 10 11 11 12 12 12 12 11 10 10 9 9 9 10 11 13 14 15 16 15 14 13 12 11 10 10 10 11 12 12 12 13 13 13 13 13 12 12 12 13 13 13 13 10 8 6 5 5 5 6 6 6 6 6 7 8 8 8 8 8 9 9 10 11 12 12 12 13 13 13 12 12 11 10 10 10 11 11 11 11 11 10 9 8 8 8 9 10 11 12 13 13 nan
nan -7 -6 -3 -0 2 5 7 8 9 8 7 7 8 10 13 16 18 18 16 13 10 6 5 5 5 6 7 9 11 13 14 14 12 10 8 8 7 8 8 9 10 12 13 14 15 16 16 15 14 14 13 14 15 17 17 16 14 12 10 8 8 9 10 10 10 10 9 10 10 10 9 8 9 9 10 10 10 10 11 12 14 14 14 13 12 12 12 12 12 11 9 7 6 7 8 10 11 12 12 11 11 10 10 9 9 9 8 8 8 9 11 12 14 14 14 13 12 11 11 11 10 10 11 12 13 13 13 13 13 13 13 12 12 12 13 13 12 10 6 3 2 2 3 3 4 4 6 7 8 8 8 8 8 8 8 8 9 10 11 12 12 13 13 13 13 13 13 12 12 11 11 12 11 11 11 10 9 9 8 8 8 9 10 11 12 13 13 nan
nan -4 -0 4 8 9 10 10 10 10 9 9 9 10 12 13 14 13 10 6 4 2 3 5 7 8 8 8 8 10 13 14 14 12 10 7 6 7 8 8 10 11 12 12 13 14 14 15 15 15 15 15 14 14 14 14 13 12 10 8 7 8 9 11 11 11 10 10 9 10 9 9 9 9 9 10 9 9 9 9 10 11 12 12 11 11 12 14 14 14 11 9 5 4 7 9 11 12 12 11 9 8 8 9 9 8 8 8 8 8 8 10 12 14 14 14 13 13 12 11 11 10 10 10 11 11 12 12 13 13 13 13 12 12 12 13 12 11 8 4 2 2 2 3 3 3 4 7 9 11 12 10 9 8 8 8 9 9 10 11 11 12 12 13 13 13 13 13 13 13 12 12 11 11 11 10 9 9 8 8 8 8 9 11 12 12 12 11 nan
nan -1 3 7 10 11 11 11 11 11 11 12 13 14 14 13 11 7 5 3 2 3 5 9 12 11 10 8 8 9 12 13 13 12 9 6 6 7 8 9 10 11 11 11 11 12 13 14 14 15 14 14 13 12 12 12 11 10 8 6 5 7 10 12 14 14 12 10 8 8 9 9 9 9 10 10 10 10 9 8 9 9 10 10 10 10 12 14 14 12 10 7 5 5 8 10 12 13 12 9 8 7 7 8 8 8 8 8 9 9 11 12 14 14 14 15 15 14 13 12 11 10 9 9 9 10 11 12 13 13 14 13 13 13 13 13 12 10 7 4 4 4 6 7 6 6 8 10 12 14 15 13 12 11 10 10 10 11 11 11 11 11 12 13 13 14 14 14 14 13 12 11 11 10 10 9 8 8 8 8 8 9 10 11 11 11 11 10 nan
nan 3 5 8 9 10 10 10 11 12 13 14 15 15 14 12 8 5 4 4 5 7 9 13 14 14 12 10 9 9 11 12 12 11 8 6 6 8 9 10 10 9 9 9 9 10 11 11 12 13 13 13 13 13 13 12 11 9 7 5 3 4 8 12 15 15 14 11 8 8 8 8 8 8 9 11 12 12 11 10 9 9 9 9 10 10 12 13 12 10 8 6 5 7 8 10 11 12 11 9 8 7 7 8 8 9 9 9 10 11 12 14 15 15 15 15 16 16 15 13 11 10 10 10 10 11 11 12 13 14 14 14 14 14 13 13 11 9 7 6 7 8 10 11 12 12 13 13 14 15 16 15 14 14 13 13 13 13 12 12 11 11 11 12 13 14 14 14 13 12 11 11 10 10 9 9 8 8 8 9 9 11 12 12 11 10 10 9 nan
nan 6 7 8 8 8 9 9 10 11 13 14 14 13 11 9 7 6 7 7 8 9 10 12 14 15 14 13 11 9 10 11 12 11 10 8 8 9 9 9 8 7 6 7 8 9 10 10 11 12 13 13 13 14 15 16 15 13 10 7 4 4 6 9 12 14 14 12 11 10 9 9 8 8 9 10 12 14 14 13 11 10 9 9 10 11 12 12 11 9 7 6 6 8 9 10 11 12 12 11 9 8 8 8 8 8 9 9 10 11 12 13 13 13 14 15 16 17 16 14 13 11 11 12 12 13 13 13 14 15 15 16 16 15 14 13 11 9 9 9 9 11 13 15 15 15 15 15 15 15 15 15 16 16 16 15 15 14 13 12 11 11 11 12 12 13 13 13 12 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 10 9 10 nan
nan 8 8 8 7 7 8 9 10 10 11 11 10 9 8 8 8 10 10 11 10 9 9 10 12 14 14 13 12 10 9 10 11 12 12 12 11 10 9 9 7 5 5 6 8 9 11 11 11 11 12 12 13 14 16 18 18 16 14 10 7 5 5 7 9 12 14 15 15 14 13 12 10 8 8 9 11 13 16 16 14 12 10 9 10 12 12 12 11 9 8 8 8 9 10 11 12 12 13 12 11 10 9 9 9 9 9 10 10 11 12 11 11 11 12 14 16 16 16 15 14 12 12 12 13 14 14 15 15 16 16 16 16 16 15 14 13 11 11 10 11 13 14 15 15 15 14 14 14 14 14 15 16 16 17 16 15 14 13 12 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 8 9 10 10 9 9 8 8 8 9 10 11 12 13 12 11 10 9 10 11 12 13 13 12 9 7 8 9 11 14 15 14 12 10 8 6 5 5 7 8 10 11 13 13 12 11 10 11 12 14 16 16 16 15 12 10 8 6 6 8 10 14 17 17 17 16 14 12 10 8 9 10 12 15 16 14 12 10 9 10 12 13 13 12 10 9 8 9 10 11 12 12 13 13 12 11 10 9 9 9 10 10 11 11 12 12 11 11 11 12 14 15 16 15 14 13 12 11 12 12 13 14 15 16 16 17 17 17 16 15 15 13 12 11 11 11 12 13 13 12 12 11 11 12 13 13 14 14 14 15 15 14 13 12 11 11 11 11 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 nan
nan 10 10 10 11 12 11 11 10 9 8 9 9 10 11 12 12 12 12 12 12 12 12 11 11 12 12 12 10 8 6 6 7 9 12 15 15 13 11 8 7 6 6 7 9 10 12 14 13 12 10 9 9 10 11 12 13 13 13 12 11 9 8 7 6 9 13 16 18 17 17 15 13 11 9 9 9 11 14 15 13 12 10 9 10 12 14 14 13 11 8 8 9 10 12 12 13 13 12 11 10 9 8 8 10 11 11 12 11 11 12 12 12 12 13 15 16 15 14 13 12 11 11 10 11 11 12 14 15 16 16 16 16 15 15 13 13 12 11 10 10 10 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 nan
nan 18 17 16 15 13 12 11 10 9 9 10 11 12 13 13 12 11 11 11 12 13 13 12 12 12 11 11 9 6 6 5 5 7 10 13 14 13 12 10 8 8 8 9 10 11 12 14 13 12 11 10 9 9 9 10 11 11 12 13 13 11 9 8 6 8 11 14 16 16 16 14 13 11 9 8 9 10 13 14 13 12 11 10 11 13 15 15 13 11 8 8 9 11 12 13 13 13 12 10 8 6 6 7 9 10 11 12 11 10 10 11 12 13 14 16 16 14 13 12 11 11 10 10 9 10 10 12 13 14 15 15 15 14 13 12 11 10 9 8 9 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 11 11 11 12 12 11 11 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 11 12 nan
nan 24 20 17 14 11 10 9 9 9 10 11 11 12 12 12 12 11 10 10 11 12 13 14 13 12 11 9 8 6 6 5 5 6 7 9 11 11 12 11 11 12 13 13 13 13 13 13 12 12 12 12 11 10 10 11 12 13 14 15 15 13 11 9 8 8 10 12 14 14 14 13 12 10 9 8 8 10 12 13 13 12 11 10 11 13 14 13 11 10 8 8 10 11 13 13 13 12 11 9 7 6 5 6 8 9 11 12 12 12 12 13 13 14 15 16 15 14 13 12 12 11 11 10 10 10 10 11 12 13 14 14 14 13 12 11 10 9 8 7 8 9 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 12 nan
nan 15 13 11 9 8 8 8 9 10 11 10 10 10 10 11 12 12 11 10 11 13 14 14 13 11 9 7 6 6 6 6 6 6 6 7 8 8 9 10 12 14 16 16 15 14 12 12 12 13 14 14 14 13 12 13 14 15 16 16 15 14 13 11 9 9 10 11 12 13 13 12 12 11 9 9 8 9 12 13 13 13 12 11 11 12 11 11 10 9 10 10 12 12 12 13 12 10 9 8 7 6 6 7 9 10 11 12 14 15 16 15 15 15 15 15 15 14 13 13 13 12 12 11 11 11 11 12 13 14 14 14 14 13 13 12 11 10 10 9 8 9 11 12 13 14 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 9 9 9 8 8 8 8 9 10 11 13 nan
nan 2 4 6 6 7 7 8 10 11 11 10 10 9 9 10 12 13 13 12 12 13 14 13 11 8 5 3 2 3 4 5 6 7 7 7 7 7 6 7 10 13 15 16 16 14 12 11 12 13 14 15 14 12 13 14 15 15 15 13 12 12 12 12 11 12 12 13 13 13 13 13 13 12 10 9 8 10 12 13 14 13 13 12 11 10 9 10 10 11 12 13 14 14 12 12 11 9 9 8 7 7 8 8 9 10 11 12 14 15 16 16 16 15 14 14 14 14 14 14 13 13 12 12 12 12 12 13 14 15 16 16 16 15 14 14 13 12 12 11 10 10 11 12 14 14 14 14 14 14 14 13 12 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 9 9 8 7 7 7 7 7 7 8 9 11 12 13 nan
nan -0 3 5 7 7 8 9 10 12 13 12 11 10 10 10 12 13 14 13 12 12 12 10 8 5 3 0 -1 -2 -1 1 3 5 8 8 7 6 5 5 7 10 13 14 14 14 12 11 11 12 12 12 11 10 11 12 13 13 12 10 9 8 9 10 12 13 15 16 17 16 15 14 13 13 12 10 10 11 12 13 13 13 12 11 10 8 8 9 11 13 14 14 14 14 13 11 9 9 9 9 9 9 10 10 10 11 11 12 13 14 15 16 16 15 14 14 13 13 13 13 12 12 11 11 11 11 11 13 14 15 16 16 16 16 15 15 14 14 13 12 11 11 11 12 13 14 15 15 15 15 14 13 12 11 11 12 12 13 13 13 13 12 11 10 9 8 8 9 9 10 11 12 12 12 11 10 9 7 7 7 7 8 9 10 11 12 13 14 nan
nan 4 6 7 8 8 9 10 11 13 14 13 12 11 10 11 12 12 12 12 11 11 10 9 8 6 4 3 1 -2 -3 -3 -1 2 5 7 8 7 7 7 9 10 12 13 13 13 12 11 11 10 10 10 9 8 8 9 10 10 11 10 9 8 8 8 9 12 14 16 17 17 17 15 14 13 12 11 11 11 11 12 11 11 10 8 7 8 8 10 13 14 14 13 12 12 12 11 9 8 8 9 10 10 11 11 10 10 10 10 11 12 14 15 15 15 14 13 12 12 12 12 11 10 10 9 8 8 9 10 12 13 15 15 15 15 15 15 14 14 13 12 11 11 11 11 12 13 14 14 14 13 13 12 12 12 12 12 12 12 13 13 12 11 11 10 9 9 9 9 9 10 11 13 13 14 14 13 12 10 9 8 8 9 10 11 12 13 14 15 nan
nan 7 8 9 10 11 11 11 11 12 12 12 11 9 9 10 12 12 11 10 8 7 8 8 8 8 9 9 8 5 0 -1 -2 0 4 6 8 8 9 11 12 13 13 13 13 12 12 12 12 12 11 10 9 8 8 8 8 9 10 11 11 10 9 8 8 9 11 13 15 16 16 14 13 11 11 11 11 12 12 11 11 10 9 7 7 8 10 12 14 14 12 10 9 8 9 9 9 8 8 8 9 10 11 11 10 10 10 9 9 10 12 13 14 14 13 12 12 12 12 11 11 11 10 9 8 7 7 8 9 11 13 14 14 14 13 13 13 13 12 12 11 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 9 9 10 12 13 14 15 14 13 11 10 10 10 10 11 11 12 13 14 15 nan
nan 8 9 10 12 13 13 13 12 11 11 9 7 6 5 6 9 12 12 11 8 6 6 7 8 10 11 13 14 12 9 5 3 4 6 9 11 12 13 15 16 16 15 14 13 13 13 13 13 13 13 12 10 9 8 8 8 8 10 11 11 11 11 10 10 9 10 11 13 14 14 13 11 10 10 10 11 12 12 12 12 12 11 11 10 11 11 12 12 11 9 6 5 5 6 7 7 7 7 7 8 10 11 11 11 11 11 11 10 10 11 12 13 13 13 13 12 12 12 12 12 11 11 10 9 8 7 7 7 9 10 11 12 12 11 11 11 11 10 10 10 10 10 9 10 10 10 11 11 12 12 11 11 10 11 11 11 11 11 10 10 10 10 11 11 11 11 10 9 9 9 10 12 13 13 13 12 12 11 10 10 10 11 11 12 13 14 15 nan
nan 9 10 12 13 14 13 12 10 9 8 6 4 2 2 3 6 10 11 12 12 9 7 8 9 10 12 15 16 15 14 11 9 10 11 13 15 16 17 19 18 17 16 15 14 13 13 13 14 14 14 13 12 10 9 8 8 8 9 11 11 12 12 12 11 11 10 11 11 12 13 12 11 10 9 10 10 11 11 11 12 13 14 14 14 13 12 11 10 8 6 5 4 4 5 6 7 6 6 7 9 11 12 13 13 14 14 14 13 12 11 11 12 13 13 13 12 12 12 12 12 12 12 12 11 10 8 7 7 7 8 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 10 9 10 10 11 12 13 13 12 11 11 10 9 10 10 11 12 13 14 15 nan
nan 11 13 15 15 14 10 7 6 5 7 6 4 2 2 3 6 7 9 11 12 12 11 11 11 12 13 15 16 16 15 15 14 14 16 17 18 18 19 20 20 18 17 15 14 13 13 13 13 14 13 13 12 10 9 8 7 8 10 11 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 11 13 15 16 15 14 12 10 9 7 6 4 4 4 5 5 6 6 7 9 11 13 13 14 15 15 16 16 15 14 12 12 13 14 14 13 13 12 12 12 13 13 13 13 12 11 9 8 7 7 7 8 8 7 7 8 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 11 11 12 12 12 11 10 10 9 9 9 10 11 11 12 13 14 nan
nan 15 15 16 15 13 8 4 1 3 7 8 8 6 5 6 7 7 8 9 10 12 13 15 15 15 15 15 15 15 15 16 16 17 17 17 18 19 19 19 19 18 16 15 14 13 13 12 13 13 14 13 12 10 9 8 8 10 12 12 13 12 11 11 11 12 12 12 11 11 11 12 12 12 12 12 11 11 10 10 11 13 15 16 15 14 12 10 8 6 5 4 3 2 3 3 5 6 8 11 12 13 13 13 14 15 16 16 15 14 13 13 14 14 14 14 13 13 12 13 13 14 14 14 13 11 10 9 9 9 9 9 7 6 7 8 10 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 12 14 nan
nan 17 17 17 15 12 7 2 1 4 8 10 11 10 9 10 11 11 11 11 10 12 14 16 17 18 17 15 15 15 15 15 15 16 16 17 17 18 18 18 18 17 16 15 14 13 12 12 12 13 14 14 13 11 10 9 9 11 12 12 12 11 11 11 12 13 13 13 13 11 11 11 11 12 13 13 13 12 12 11 11 13 14 15 14 12 10 8 7 6 5 4 3 2 1 2 4 6 9 11 13 13 13 13 14 15 16 16 15 15 14 14 14 14 14 14 14 13 12 13 13 13 14 13 13 12 11 11 11 11 11 10 8 6 6 7 9 11 11 11 11 11 11 12 12 12 12 13 12 12 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 11 12 13 13 nan
nan 18 19 18 16 12 8 4 4 6 9 11 11 11 11 13 16 17 17 16 14 14 15 16 17 17 16 16 15 15 16 15 15 15 15 16 16 16 17 17 17 16 15 15 13 12 10 10 11 12 13 14 15 14 13 11 11 11 11 10 10 9 10 12 13 14 15 14 13 11 10 10 11 12 13 14 14 13 13 12 12 14 14 13 11 9 7 6 7 8 7 6 5 3 2 3 5 7 9 11 13 13 13 13 13 15 16 16 15 15 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 8 7 7 8 10 10 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 10 9 8 8 9 10 11 12 12 13 13 nan
nan 18 19 20 17 14 10 7 7 7 9 10 11 12 14 17 20 21 21 20 18 17 16 15 15 15 14 15 16 16 16 16 15 14 13 13 14 14 16 17 17 17 16 15 13 10 9 8 9 11 13 14 14 14 14 13 12 11 11 10 10 9 10 12 14 14 14 14 12 11 10 11 12 14 14 14 13 12 12 12 12 13 12 11 9 6 5 6 9 10 11 10 8 6 6 6 7 9 10 12 12 12 13 13 13 15 16 16 15 15 14 14 13 13 12 12 12 11 11 10 10 10 11 11 11 11 12 11 11 11 12 12 11 10 8 7 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 11 11 12 13 13 13 nan
nan 17 19 18 16 13 11 10 10 9 9 10 11 13 15 17 19 19 19 19 18 17 16 15 14 14 13 14 15 16 16 15 14 12 11 10 11 12 14 17 18 18 17 15 12 10 8 8 8 9 10 11 11 10 11 11 12 13 13 13 12 12 11 12 12 13 13 12 10 9 10 12 14 16 16 15 13 11 11 10 11 10 9 7 6 4 4 7 10 12 13 13 12 10 9 9 10 10 11 11 11 11 12 13 15 16 17 16 16 15 15 15 14 13 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 10 8 7 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 12 12 11 11 11 12 12 12 12 11 10 10 11 11 12 12 12 12 12 12 nan
nan 17 18 17 14 13 12 12 13 14 13 13 12 13 14 14 14 14 14 13 14 15 15 15 15 14 14 14 14 14 14 13 12 11 9 9 9 11 14 17 18 18 17 15 12 10 9 9 8 9 8 7 7 7 7 8 10 13 14 14 14 13 12 11 11 12 12 11 8 7 8 10 13 15 16 15 13 11 10 9 9 7 5 3 2 1 2 6 9 11 13 14 13 11 11 11 12 12 12 12 11 12 12 14 16 18 18 17 16 15 15 15 14 13 13 12 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 12 12 11 9 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 nan
nan 17 17 16 15 15 16 16 18 18 17 16 14 13 12 10 9 9 9 9 11 13 14 15 15 15 14 14 13 12 12 11 11 10 9 9 9 10 13 17 18 17 16 14 12 10 10 10 9 9 8 7 6 6 6 7 9 11 12 13 13 12 12 11 11 11 10 10 7 6 6 8 10 13 15 14 12 10 9 8 7 7 5 3 2 1 2 5 7 9 10 12 12 11 11 11 12 13 13 12 12 13 14 16 18 18 18 17 16 14 14 14 14 13 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 9 11 12 13 12 9 8 8 9 9 10 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 nan
nan 18 17 18 17 17 17 18 18 18 18 16 15 13 10 8 7 6 6 8 9 12 14 14 15 15 14 13 12 11 11 10 9 9 9 9 10 11 14 17 17 16 14 12 11 10 10 10 11 11 11 10 8 7 7 8 9 10 11 12 12 12 11 10 10 10 10 10 9 7 7 8 9 11 12 11 9 8 8 9 9 10 9 7 5 4 4 5 6 8 10 12 13 12 11 11 11 11 12 13 13 14 16 17 18 18 17 16 15 14 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 14 15 14 11 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 8 8 9 10 11 12 13 13 13 12 12 12 11 11 11 12 12 12 nan
nan 17 18 18 18 16 15 15 14 14 14 14 13 11 9 6 5 5 5 7 9 11 13 14 14 14 13 12 12 11 10 9 9 8 8 9 10 12 15 16 16 15 13 11 9 9 10 11 12 13 13 13 12 11 10 9 9 10 11 12 13 12 10 9 9 9 10 11 11 10 9 9 9 10 9 7 7 7 9 11 13 13 12 10 8 6 6 7 8 10 12 15 16 15 13 11 10 11 12 13 14 15 16 17 18 17 16 15 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 15 14 13 11 11 11 11 12 11 11 11 10 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 8 9 9 10 12 13 13 14 13 13 13 12 12 11 11 11 11 11 nan
nan 16 16 17 16 15 13 11 10 10 10 10 9 8 6 5 4 5 5 7 9 11 11 12 13 12 12 11 11 11 10 10 9 8 8 9 10 12 15 16 15 14 13 11 10 10 10 11 12 12 13 13 13 13 12 11 12 12 13 13 13 11 9 8 9 10 12 14 15 13 11 10 9 9 7 6 6 8 11 14 14 13 11 9 7 7 8 9 10 11 13 15 16 15 14 12 11 11 13 14 14 15 15 15 15 15 14 13 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 14 15 15 14 13 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 9 10 11 11 12 13 14 14 14 14 14 13 12 12 11 11 11 11 nan
nan 15 14 15 15 14 12 10 8 8 7 7 6 5 4 3 3 4 5 6 7 9 9 10 10 10 10 10 11 11 11 10 9 8 8 8 9 12 15 15 15 15 13 12 11 10 9 8 8 8 10 11 12 12 12 13 14 14 15 14 12 8 6 7 8 11 14 16 15 13 11 9 8 7 7 7 8 10 12 13 12 10 8 7 7 8 9 10 11 11 12 13 14 15 14 13 12 12 13 14 14 14 13 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 10 9 10 10 12 14 14 15 14 13 12 12 13 14 14 14 14 14 13 12 12 11 11 11 11 11 11 12 12 13 14 14 14 13 12 12 11 10 9 8 8 9 10 11 13 14 15 16 16 15 15 15 14 14 13 12 12 12 12 nan
nan 13 13 14 15 15 15 14 11 9 7 7 6 6 6 6 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 11 10 9 8 8 10 13 15 16 16 14 13 10 9 7 7 6 6 7 8 9 10 11 11 12 14 14 14 12 9 6 5 6 8 11 14 15 14 12 10 8 7 7 9 10 11 12 12 11 9 7 6 5 7 9 10 11 12 12 12 13 13 13 13 13 12 13 13 13 14 13 13 12 12 12 13 12 11 10 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 9 8 9 10 11 12 13 13 14 13 12 12 12 13 14 15 15 14 14 14 13 12 12 12 12 12 12 13 14 15 15 16 16 15 14 12 11 9 8 7 7 8 9 12 15 17 19 19 18 17 16 15 14 14 13 13 13 13 13 nan
nan 11 11 12 15 17 19 19 17 14 11 11 10 10 11 11 11 10 10 10 10 10 9 9 9 10 11 12 12 12 12 11 10 10 9 9 11 14 16 16 16 14 11 8 6 6 6 7 8 9 10 10 11 12 12 12 13 12 11 9 6 6 6 8 9 11 13 13 12 10 8 6 7 9 11 12 13 12 10 8 6 5 5 6 8 11 12 13 13 13 13 12 12 12 12 11 12 12 13 13 13 14 14 14 14 14 14 13 11 10 10 9 9 10 11 11 12 12 13 13 13 13 13 13 13 12 12 10 9 8 8 8 9 10 11 12 12 13 13 12 11 11 12 13 14 14 14 14 14 13 12 12 12 13 13 13 13 14 15 16 16 16 14 13 11 9 8 7 6 7 8 10 13 16 19 20 19 18 17 16 14 13 13 13 13 13 14 14 nan
nan 9 9 11 14 16 19 20 20 18 17 16 15 14 15 15 15 15 15 14 14 13 13 12 11 11 12 13 13 13 13 12 11 11 10 11 13 16 17 17 15 13 10 7 6 6 7 8 10 11 11 12 12 13 12 12 11 10 9 8 8 9 10 11 11 11 11 10 9 7 6 5 6 8 10 11 12 11 9 7 6 5 6 8 10 12 13 14 14 14 13 12 11 11 11 12 12 12 13 13 13 14 15 15 15 14 14 13 12 11 10 10 10 11 11 12 12 13 14 14 14 13 13 13 13 12 11 10 9 8 7 8 9 9 10 11 11 12 12 11 11 11 11 12 13 13 13 13 13 13 12 12 12 13 14 14 14 15 16 16 16 14 13 11 10 9 7 6 6 7 8 9 12 14 16 17 17 17 16 15 14 13 13 13 13 14 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
CAPE
45 37 28 20 16 12 11 9 6 2 1 2 4 4 3 3 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 10 13 16 18 19 19 18 18 14 11 8 6 6 5 5 3 2 1 0 0 0 0 0 2 4 6 8 9 7 5 3 3 5 6 6 5 4 2 0 0 0 1 2 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 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
43 39 28 22 17 14 11 8 4 2 2 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 13 14 15 13 10 9 8 7 5 3 2 1 0 0 0 0 0 0 0 1 2 2 2 3 5 7 9 9 5 3 3 4 4 3 2 2 1 0 0 0 0 1 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 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
39 36 27 21 16 12 9 7 3 2 3 4 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 10 13 14 13 12 8 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 1 3 4 3 3 5 6 7 7 6 5 5 5 4 3 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 1 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
34 31 26 19 14 11 9 6 3 2 3 3 3 4 3 2 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 10 13 14 12 10 8 8 6 5 4 3 2 1 0 0 0 0 1 1 1 1 1 4 10 13 12 10 8 5 4 5 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 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 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
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