Vorticity
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nan 6 6 6 6 7 7 8 8 8 8 8 7 8 8 8 7 7 7 8 9 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 6 7 7 7 7 8 10 11 11 11 11 10 11 12 11 10 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan
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nan 11 11 10 11 11 10 10 10 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 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 9 10 10 11 12 12 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 8 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 7 6 6 6 7 9 10 11 12 12 12 11 11 10 10 10 10 11 11 12 12 12 13 15 17 20 21 21 21 19 18 17 17 17 16 16 14 13 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 10 10 10 10 11 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 9 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 7 6 6 6 8 9 10 11 12 12 13 13 13 12 11 11 10 10 11 11 12 12 13 14 15 17 17 16 14 11 11 12 14 16 17 17 15 11 9 10 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 9 9 9 9 10 10 11 10 9 9 9 9 9 9 9 10 10 9 9 8 8 9 11 12 12 10 9 8 7 8 9 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 8 5 3 2 3 4 6 8 9 7 5 5 9 12 13 11 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 9 10 10 10 10 10 10 9 9 8 9 10 13 14 14 12 11 10 10 10 10 10 9 9 9 9 10 9 10 11 11 12 12 11 10 10 10 10 11 10 10 10 9 7 6 5 5 4 2 2 2 1 -1 -1 4 8 11 10 7 7 8 9 9 9 9 9 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 6 6 7 7 6 5 5 6 6 8 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 13 13 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 12 12 12 10 9 7 5 3 5 9 11 11 8 8 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 7 8 8 7 6 5 5 6 7 8 8 7 6 6 6 6 8 9 9 9 8 8 8 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 11 10 10 9 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 13 14 15 17 17 16 15 15 17 18 19 17 15 15 15 15 14 13 13 12 11 10 10 11 13 16 17 15 12 10 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 8 9 9 9 9 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 8 9 10 11 12 12 13 13 13 14 13 11 10 9 9 10 10 10 9 9 8 8 8 8 9 9 8 8 8 9 9 9 8 8 8 9 9 8 9 9 9 8 9 9 9 10 11 11 11 11 11 11 11 10 9 9 8 9 9 9 9 9 9 10 11 12 12 12 11 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 11 12 13 15 17 18 18 20 21 22 21 20 19 19 20 20 20 19 17 15 14 14 14 15 17 19 17 13 10 9 9 9 9 9 9 9 9 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 8 7 7 6 6 6 6 6 7 8 11 13 15 17 18 19 19 19 19 18 17 16 14 13 13 13 12 11 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 9 9 9 10 10 9 8 8 9 10 11 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 9 10 10 10 10 10 11 11 11 13 14 15 16 16 16 14 14 15 16 17 19 20 20 19 19 19 20 19 18 18 16 12 10 9 11 11 11 11 10 10 10 9 nan
nan 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 10 10 12 14 16 17 15 13 11 10 9 9 9 10 10 10 11 10 10 9 8 7 6 6 6 6 5 5 5 5 4 4 5 5 5 5 6 7 9 11 15 17 19 19 19 19 19 18 18 17 17 16 15 15 15 15 14 12 10 11 11 10 9 8 8 9 10 10 9 9 9 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 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 11 11 12 11 10 9 9 10 10 10 10 10 10 10 10 11 11 10 10 8 8 9 10 11 12 14 14 15 16 19 21 22 21 19 18 15 13 13 14 16 16 15 14 11 10 10 9 nan
nan 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 11 11 11 11 11 11 12 14 17 19 20 20 17 15 13 11 9 9 10 10 9 8 7 6 6 5 5 4 4 4 3 3 3 3 3 4 5 6 6 7 7 8 8 8 8 10 12 14 14 15 15 15 15 15 14 14 13 13 14 15 15 16 15 13 13 13 11 10 9 9 10 10 11 10 10 10 10 10 10 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 11 10 10 10 10 10 9 9 8 9 9 9 8 8 8 7 7 8 8 9 10 10 10 11 13 16 17 17 17 18 18 18 17 15 15 14 13 11 10 8 8 8 9 nan
nan 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 13 14 16 17 17 18 19 19 19 17 14 11 9 8 6 5 5 5 5 6 6 6 5 5 4 4 3 3 4 6 8 9 10 9 9 9 8 6 3 1 0 2 4 6 8 10 11 12 13 12 12 12 11 12 12 13 14 15 16 15 15 13 12 10 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 13 13 13 12 12 11 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 12 11 11 12 14 15 15 13 8 3 1 0 1 2 4 6 7 8 nan
nan 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 11 11 10 11 11 11 12 13 14 15 14 14 14 15 17 19 19 18 15 11 7 4 3 5 6 7 8 8 8 8 8 7 6 5 6 7 8 10 10 10 10 10 10 9 6 0 -3 -5 -5 -3 -1 1 3 5 8 10 11 11 11 11 10 10 11 11 12 13 14 14 13 13 12 13 13 14 14 13 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 10 10 10 8 8 7 7 7 7 8 8 9 9 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 13 13 13 12 10 8 7 6 6 7 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 9 5 -1 -4 -6 -4 -2 1 4 6 8 8 nan
nan 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 11 11 12 12 12 11 11 12 13 15 18 18 16 12 8 5 5 7 8 8 8 9 10 11 11 10 9 8 7 7 8 8 9 9 9 10 11 11 8 5 1 -1 -1 -2 -2 -1 -0 0 2 5 7 9 10 10 10 10 10 10 10 10 10 11 12 12 12 13 15 16 14 12 11 11 11 11 11 11 11 12 11 11 10 10 9 9 9 9 9 8 8 7 8 8 9 8 8 8 9 10 11 11 10 10 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 11 11 11 11 11 10 9 7 5 6 7 8 8 9 10 10 11 11 10 9 10 10 10 10 10 10 10 10 9 9 9 9 8 5 0 -3 -3 -1 1 3 5 6 8 8 9 nan
nan 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 6 6 6 7 8 9 10 10 10 10 10 9 10 10 11 13 15 14 12 10 8 8 8 8 8 8 10 11 11 11 11 10 9 8 7 8 8 8 9 10 10 11 12 12 10 9 8 7 6 5 4 5 3 1 1 2 5 7 9 10 10 10 10 10 10 10 10 10 11 11 12 14 15 14 12 11 10 10 10 10 11 11 11 12 11 11 10 9 9 8 8 7 7 7 7 9 10 9 9 9 9 10 10 11 11 10 10 10 10 10 11 11 10 10 9 9 8 8 8 7 7 8 9 10 10 9 9 10 10 10 9 7 5 6 7 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 7 4 -0 -2 -3 -0 2 5 6 7 8 8 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 7 6 5 5 5 5 5 5 5 5 6 8 9 9 9 9 8 8 8 8 8 9 11 12 13 12 11 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 13 12 11 10 10 9 10 11 11 7 4 2 2 3 6 8 9 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 8 8 7 7 8 8 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 9 8 8 8 8 8 9 8 6 5 6 7 8 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 7 3 -1 -3 -3 -1 2 4 6 6 7 8 9 9 10 nan
nan 10 10 9 8 7 7 7 8 8 7 6 5 5 5 5 6 6 7 7 8 9 9 9 9 8 8 7 7 6 6 6 6 8 11 13 14 12 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 12 12 12 12 11 10 9 8 9 13 15 14 12 8 3 2 3 5 7 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 13 12 12 13 13 12 12 11 10 9 9 8 8 8 9 9 8 8 8 8 9 10 9 8 9 9 10 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 7 7 6 7 7 7 7 7 8 6 5 6 6 7 9 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 7 3 0 0 1 3 5 6 6 7 7 8 9 10 10 nan
nan 10 8 7 6 6 7 7 7 8 8 8 9 9 10 10 10 10 10 11 11 11 10 8 8 8 7 7 7 6 6 6 6 7 10 13 14 12 9 7 8 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 10 8 6 3 4 8 12 14 14 11 7 5 4 4 4 6 8 8 9 9 9 9 9 9 9 8 9 9 9 9 10 10 11 12 12 13 13 12 10 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 9 10 9 9 8 8 8 10 11 12 10 9 9 9 9 8 6 5 4 5 7 7 7 6 6 6 5 6 6 7 8 10 10 11 11 12 12 11 11 10 9 10 10 10 10 10 11 11 12 12 12 11 10 10 10 9 8 7 7 7 8 8 9 10 10 nan
nan 8 7 7 7 8 8 8 7 8 8 10 12 13 14 14 13 13 12 12 12 9 7 6 6 8 8 8 7 7 7 6 7 7 10 12 14 13 10 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 6 3 0 0 3 6 9 10 10 9 8 8 6 5 5 6 6 7 8 8 8 8 8 8 7 7 8 9 9 9 9 9 10 11 11 11 9 6 5 6 7 9 9 9 9 10 10 10 9 9 10 11 12 11 10 9 9 9 9 8 7 6 6 8 10 12 12 10 9 9 8 7 6 4 3 4 6 8 8 7 6 6 6 6 7 7 8 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 11 11 12 12 13 15 17 19 18 15 12 9 7 7 7 8 8 9 9 10 nan
nan 7 7 8 9 10 10 9 8 8 8 10 11 11 12 11 11 11 11 11 10 8 6 5 6 8 9 9 9 8 8 8 8 8 9 12 14 14 12 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 9 8 6 4 2 2 3 5 6 7 8 9 9 9 9 7 7 6 6 7 7 8 8 8 8 8 7 6 7 8 9 9 9 9 9 10 9 9 8 7 7 7 8 9 10 10 9 9 10 9 9 9 10 11 12 11 10 9 9 8 6 5 5 4 5 8 10 11 11 9 9 8 7 5 4 3 5 7 9 9 9 7 7 7 8 9 9 9 10 10 10 10 11 11 12 13 13 12 11 10 10 10 11 11 11 12 12 12 12 14 17 18 16 13 9 7 6 6 6 7 8 9 9 10 nan
nan 7 7 8 9 10 10 10 9 9 9 9 8 7 7 7 8 8 8 9 9 8 7 7 8 10 10 10 10 9 9 8 8 8 9 10 12 12 11 10 10 10 10 10 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 10 10 9 8 8 9 9 9 9 9 11 11 10 10 9 8 6 5 5 5 6 7 9 10 11 10 9 8 7 6 4 4 5 6 8 9 9 8 8 9 10 11 11 11 11 11 10 9 9 10 11 12 13 13 12 11 11 10 11 11 11 12 12 12 12 12 12 13 11 9 7 5 5 5 5 6 7 8 9 9 10 nan
nan 7 7 7 8 8 9 10 10 9 8 7 6 6 6 6 8 9 9 10 9 8 7 8 9 10 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 12 13 13 13 12 11 11 10 10 10 10 9 9 8 8 9 9 9 9 9 9 8 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 9 10 10 10 9 9 10 10 9 10 10 9 7 7 7 8 9 10 11 11 11 10 9 8 7 5 5 5 5 6 8 9 10 10 12 12 13 13 13 13 13 12 10 9 9 9 10 12 13 12 12 11 9 10 10 11 12 12 12 12 12 11 11 10 9 8 6 5 5 5 6 7 8 9 9 10 10 nan
nan 6 6 6 6 7 8 8 8 7 6 6 6 6 7 8 9 10 11 11 10 8 5 6 8 10 11 12 12 12 11 10 9 8 8 8 7 7 7 8 9 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 7 8 12 16 18 18 16 13 12 11 11 11 10 10 9 8 8 8 8 8 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 12 11 10 9 9 9 10 10 11 10 9 9 9 9 10 11 12 12 12 11 10 9 8 7 6 6 7 8 8 10 11 13 14 15 14 14 14 14 15 14 13 10 9 9 10 11 12 12 11 10 9 8 9 10 11 12 12 12 11 10 10 10 10 11 12 10 7 6 6 7 8 9 10 10 11 11 nan
nan 4 4 5 6 7 6 6 5 4 5 6 7 8 8 8 9 10 11 11 10 8 6 6 7 9 11 12 12 13 12 11 11 10 9 8 6 6 7 8 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 9 7 4 6 12 19 23 23 20 15 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 12 12 10 8 6 6 7 8 10 10 9 9 9 10 10 10 11 11 13 13 12 11 10 9 9 8 9 10 11 11 11 12 13 14 14 14 14 14 16 16 15 13 11 10 9 9 10 10 10 9 9 8 8 9 10 11 11 11 11 10 9 9 9 11 13 13 13 10 9 8 9 10 10 11 11 11 12 nan
nan 3 5 6 7 6 5 4 4 4 6 8 9 9 9 9 8 9 9 9 8 6 5 6 7 8 10 11 12 13 13 13 12 11 10 8 7 6 6 7 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 8 6 3 6 13 19 24 24 21 17 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 11 11 13 13 11 8 5 2 0 0 1 4 4 3 3 3 5 7 9 9 10 10 11 11 11 10 10 10 10 10 11 11 10 10 10 10 12 13 13 13 13 14 15 15 14 12 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 11 12 13 13 13 10 10 10 11 11 11 12 12 12 nan
nan 8 9 9 8 6 5 5 6 8 10 10 10 10 9 9 9 8 7 6 5 2 2 3 6 8 9 10 11 12 13 13 13 12 12 10 9 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 5 3 6 12 17 20 20 18 16 14 12 10 10 10 9 9 9 9 10 10 11 11 11 11 10 8 7 7 7 8 9 9 10 10 9 8 8 8 9 10 9 6 3 1 -0 -0 0 1 1 0 -2 -3 -2 1 4 6 7 8 8 9 9 9 9 10 10 10 10 9 8 8 8 8 9 11 12 12 12 12 13 14 14 12 11 9 7 6 6 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 14 14 12 11 11 11 11 12 12 12 12 nan
nan 12 11 10 8 7 7 8 9 10 10 9 8 9 9 9 9 7 6 4 2 -0 -1 0 4 7 8 9 10 12 13 13 13 13 13 13 12 10 9 9 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 8 5 4 6 10 13 14 14 14 14 14 12 10 9 9 9 8 8 9 9 10 10 11 12 12 10 7 5 5 5 6 7 8 8 7 7 6 6 7 8 8 6 4 3 3 5 6 7 7 6 4 3 2 2 3 4 4 4 5 7 9 9 9 8 8 8 9 8 7 7 7 7 8 10 12 12 12 11 11 12 12 12 11 10 8 7 6 6 7 9 10 11 11 10 9 8 9 9 9 9 9 10 11 11 11 11 11 13 14 14 13 12 11 10 11 11 11 11 11 nan
nan 11 10 9 9 9 9 10 9 8 7 7 7 8 9 9 7 6 5 4 4 1 -1 -0 3 6 8 9 10 11 12 12 12 13 14 14 13 12 11 11 11 10 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 8 7 7 8 8 8 7 5 4 6 8 10 10 10 11 13 14 12 10 10 9 9 9 8 8 9 10 11 11 12 11 10 8 6 5 4 4 5 5 5 6 6 6 7 8 9 9 8 7 7 9 10 11 12 12 11 11 11 10 10 8 7 5 6 7 10 11 10 9 8 8 8 9 9 8 8 8 8 10 11 11 11 10 10 10 10 11 11 11 10 9 9 8 8 9 9 10 10 9 9 8 9 9 9 10 11 11 12 13 13 13 12 13 13 13 12 12 11 10 10 10 11 11 10 10 nan
nan 8 8 8 9 10 11 11 10 8 7 8 9 10 10 9 7 6 6 7 7 5 2 1 2 6 8 9 10 11 11 12 12 13 14 14 14 13 12 12 11 10 9 9 8 8 9 9 9 10 10 10 10 9 8 8 9 9 11 11 10 9 8 8 8 7 7 6 4 4 5 8 9 9 9 10 12 13 11 10 9 9 9 9 8 9 10 11 11 12 12 11 9 8 7 6 5 5 4 4 5 6 6 7 7 8 9 9 9 9 9 10 11 11 11 12 13 14 14 13 13 12 11 10 12 14 15 14 12 10 10 10 11 12 12 12 11 10 10 11 11 10 10 9 9 10 10 11 12 12 13 13 11 10 9 9 8 8 8 8 8 9 9 10 10 11 12 13 14 14 14 14 13 12 12 11 11 11 10 10 11 13 13 13 12 11 nan
nan 8 8 8 9 10 10 11 10 10 10 10 11 11 10 9 8 8 8 9 10 8 4 2 2 5 7 8 9 10 11 11 12 14 15 16 15 13 12 12 11 10 9 9 9 9 9 9 9 10 10 11 11 9 7 6 6 7 9 10 10 10 9 9 8 7 6 5 4 4 6 8 9 9 9 10 12 12 10 9 8 9 9 8 8 9 10 11 11 11 11 10 8 7 7 7 7 7 6 6 7 8 9 9 10 11 12 11 11 10 10 10 10 11 12 13 15 16 15 13 12 12 13 14 16 18 18 16 13 13 13 13 14 15 14 14 13 12 12 12 11 10 10 9 10 10 12 13 15 16 16 14 11 9 8 8 8 8 8 8 9 9 10 10 10 12 13 14 15 14 14 13 13 11 10 10 10 10 10 13 16 19 19 17 15 14 nan
nan 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 8 7 5 2 2 4 7 8 9 10 10 11 12 14 16 16 15 13 11 11 10 9 9 8 8 9 10 10 10 10 10 11 10 9 7 5 4 5 6 8 8 9 9 8 7 7 6 5 5 5 7 8 9 9 9 11 11 11 11 9 9 8 8 8 8 9 10 10 10 10 10 9 8 7 7 7 8 8 8 8 9 10 11 13 14 15 15 14 13 13 13 13 14 16 17 18 19 18 15 12 11 12 13 15 17 18 18 16 15 14 14 14 15 14 14 13 12 12 12 12 11 11 11 10 10 11 14 15 17 18 17 13 10 8 7 7 8 8 8 8 9 9 9 9 10 11 12 13 13 13 13 13 12 11 9 9 9 9 11 15 19 21 20 19 19 19 nan
nan 10 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 8 7 6 6 6 5 3 1 3 5 7 9 9 10 11 12 13 15 16 16 13 11 10 10 9 8 7 8 9 10 11 10 10 10 11 11 9 8 6 5 4 5 6 7 8 8 7 7 7 6 6 6 6 7 8 9 9 9 10 11 11 11 10 9 8 7 7 8 10 10 10 9 9 9 8 7 7 7 7 7 7 7 8 9 10 11 13 13 13 13 13 13 14 15 17 19 21 21 21 20 18 13 11 10 12 14 16 19 22 22 19 17 14 13 13 13 12 11 10 10 11 11 11 11 11 11 11 11 12 13 15 16 16 14 10 8 6 7 8 8 8 8 9 9 8 8 8 9 10 11 12 11 12 12 13 11 10 8 7 7 9 11 13 15 16 16 17 19 21 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
110 106 106 101 86 65 51 50 46 42 37 35 34 35 38 40 42 41 39 36 31 22 10 3 1 1 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 1 3 4 4 4 5 5 5 5 5 5 6 7 7 8 8 8 9 9 9 9 8 8 8 8 9 10 11 12 12 10 9 8 8 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 8 8 9 8 8 7 6 6 5 5 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 11 9
132 124 121 115 103 82 59 57 53 49 45 41 40 40 42 46 47 46 43 40 36 29 19 11 7 4 4 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 1 2 3 3 3 4 5 6 6 6 7 7 7 8 8 8 9 9 9 8 8 7 7 8 8 9 9 10 12 12 11 9 8 7 7 6 6 6 7 7 7 6 6 6 5 4 4 3 4 6 6 6 6 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 5 5 6 5 6 7 7 8 8 9 9 10 10 9 9 9 10 10 10 11 12 12 11
148 132 124 119 113 104 81 69 60 54 50 47 45 45 46 49 50 50 48 45 41 36 29 23 17 11 9 7 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 5 5 6 6 7 8 9 8 9 9 9 8 7 6 6 7 7 8 8 8 9 11 11 11 9 8 7 5 5 5 6 5 5 6 5 5 5 4 3 3 5 5 5 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 6 7 8 9 10 10 9 9 8 8 7 9 10 11 12 11
161 139 128 123 122 122 108 86 65 56 53 50 48 48 48 48 50 50 49 47 43 39 36 33 29 19 13 9 8 7 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 4 4 5 5 6 8 10 11 11 10 10 9 7 6 6 7 8 9 9 8 8 8 9 10 11 10 8 6 5 5 5 5 4 4 4 4 4 4 3 2 3 4 5 5 5 4 4 4 4 3 3 2 2 2 2 3 3 3 4 4 4 4 5 5 5 4 4 4 4 5 6 7 8 9 10 10 9 8 7 7 8 9 10 11 10 10
174 150 134 127 128 132 124 101 72 57 53 52 50 49 48 48 48 49 48 46 43 39 37 35 31 24 16 11 8 7 6 4 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 2 2 3 4 4 5 6 9 10 11 11 11 11 10 8 7 7 7 8 9 10 9 9 8 8 9 10 10 8 7 5 5 4 3 3 3 2 2 3 3 2 3 3 4 4 5 4 4 4 4 3 3 2 1 1 1 1 1 2 2 3 3 3 3 4 5 5 5 4 4 3 4 5 7 8 8 8 8 7 7 7 7 8 10 11 10 10 10
179 156 138 130 130 132 132 117 84 63 56 54 53 52 49 48 48 49 47 44 40 37 35 33 30 25 16 9 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 7 9 10 9 10 11 11 9 8 8 7 8 9 10 11 11 11 10 9 10 10 10 9 6 5 4 4 4 4 3 3 3 2 2 3 3 4 4 4 4 3 3 3 3 2 1 1 1 1 1 1 1 1 2 2 2 2 3 4 4 4 4 4 3 4 5 6 7 8 8 7 7 7 7 6 7 8 11 10 10 10
171 152 138 131 129 125 136 129 108 84 67 60 60 57 52 49 48 49 47 43 38 35 33 30 28 23 14 6 4 2 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 1 3 4 4 5 7 8 10 10 10 11 12 11 9 8 8 8 8 9 11 12 13 12 11 11 11 11 10 8 7 6 5 5 4 3 3 2 2 2 2 3 4 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3 4 4 3 4 5 5 7 7 6 6 6 6 5 5 6 9 9 10 10
164 151 140 135 126 123 136 140 129 109 89 78 70 60 54 49 49 48 46 42 38 35 31 29 26 21 13 5 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 1 2 3 3 4 6 8 9 10 10 11 12 11 10 8 8 9 10 10 12 13 14 14 14 14 14 13 12 10 9 8 7 6 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 4 4 5 6 6 5 5 5 4 4 4 5 6 8 8 9
160 155 143 139 127 123 133 140 137 125 112 99 79 63 56 50 48 46 44 40 36 32 30 28 24 18 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 5 7 8 9 10 11 11 11 10 10 10 10 11 12 12 14 15 15 15 14 15 15 14 12 11 10 9 8 6 5 4 4 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 4 5 5 5 4 4 3 3 4 4 4 5 6 7
145 156 151 144 132 124 124 128 133 132 122 108 86 68 58 51 46 43 40 36 30 24 23 22 20 15 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 6 8 9 10 11 11 11 12 12 12 12 12 13 14 14 15 16 16 15 15 15 15 14 12 11 9 9 7 6 5 5 4 4 4 4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 2 2 1 1 2 3 3 4 4 4 4 3 3 3 3 3 4 5 5
117 145 154 146 133 124 111 105 108 114 117 112 96 83 72 58 48 42 37 32 20 16 14 13 11 9 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 2 4 5 8 10 11 12 12 12 13 13 13 13 13 13 14 14 16 17 17 16 15 15 15 14 13 11 10 10 9 7 6 5 5 5 4 4 3 3 2 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 2 2 3 4 2 3 3 3 3 3 4 4 4 5
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21 19 15 12 10 10 10 8 4 3 7 11 15 15 15 13 10 11 13 12 10 11 11 12 10 7 7 6 4 3 4 4 3 2 1 0 0 1 1 1 1 2 3 3 2 2 1 1 2 2 2 2 2 3 2 2 3 3 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 2 5 10 15 16 13 11 16 24 28 29 31 32 32 33 34 34 36 38 43 50 61 68 72 76 81 86 95 100 103 99 90 78 67 60 52 43 36 31 28 27 27 29 27 23 19 16 14 12 12 12 11 12 14 16 19 22 24 23 22 22 23 25
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