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 4 3 2 1 1 1 1 0 1 2 4 5 6 7 8 9 9 9 9 10 10 11 11 11 10 9 8 8 9 10 11 11 11 11 11 12 13 14 15 15 13 11 9 7 5 4 4 5 7 9 11 13 14 14 13 13 13 12 10 8 7 7 7 7 7 8 9 9 8 8 9 10 11 12 12 12 12 13 13 14 15 16 16 15 15 14 13 12 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 10 11 11 11 12 13 13 14 14 14 13 12 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 5 4 5 5 6 6 6 5 6 6 7 7 8 9 10 12 14 15 15 14 14 13 13 13 13 13 14 15 15 16 16 15 15 15 15 16 16 16 16 15 14 13 12 11 10 nan
nan 4 3 2 2 3 3 2 0 -1 0 2 3 4 5 7 8 8 8 8 8 9 10 11 11 10 9 8 7 7 8 9 10 9 9 9 10 12 14 15 15 14 12 9 7 5 4 4 6 8 11 13 14 14 14 13 12 11 9 7 5 5 5 5 6 6 8 9 9 10 10 10 10 12 13 13 13 13 14 14 14 15 16 15 15 15 14 13 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 11 12 12 13 13 12 12 12 11 11 11 11 10 10 10 11 11 12 13 13 14 13 13 12 11 9 8 7 7 7 7 7 7 7 8 8 8 7 7 6 5 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 10 11 11 11 10 10 10 10 10 10 11 13 14 15 16 16 16 16 16 15 15 15 14 14 14 13 12 12 11 nan
nan 3 3 2 3 5 6 5 2 0 -1 -1 1 2 3 5 7 7 7 7 6 7 9 9 10 9 8 7 6 6 7 8 8 8 7 7 8 10 12 14 14 13 11 8 6 4 3 4 6 9 11 13 14 14 13 12 10 8 6 4 3 3 4 4 5 6 8 9 10 11 12 11 11 12 13 14 14 14 14 14 14 14 14 14 14 13 13 12 12 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 12 12 13 13 13 12 10 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 7 6 5 5 4 5 5 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 8 8 8 9 10 11 12 13 14 15 15 16 16 15 14 13 12 12 12 12 12 11 nan
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nan 14 13 13 13 12 12 13 13 12 11 11 11 11 11 11 12 12 12 12 12 11 9 8 8 8 8 9 9 10 10 11 11 12 12 12 11 11 11 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 13 13 14 13 13 12 11 11 11 11 12 12 12 12 13 13 13 13 12 12 11 10 9 8 7 8 9 11 12 12 11 10 8 7 6 5 3 3 3 6 8 10 10 10 9 9 10 12 13 14 13 11 10 9 9 9 9 10 10 9 8 7 8 12 15 18 19 18 16 14 13 13 13 13 13 13 12 11 11 11 11 11 11 12 11 11 11 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 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 nan
nan 12 12 12 13 13 13 13 13 12 11 11 11 11 12 12 12 12 12 12 11 11 10 9 8 7 7 8 8 9 10 11 11 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 11 11 10 9 9 10 10 11 12 13 13 13 13 13 12 12 12 11 10 9 7 6 6 7 9 10 10 9 7 5 5 4 4 4 5 6 8 10 10 10 9 9 9 10 11 12 12 12 11 10 10 9 9 9 10 10 10 10 9 9 11 13 16 18 17 16 14 13 13 13 14 14 13 12 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 9 8 8 8 9 10 10 10 10 10 9 nan
nan 11 11 11 11 12 12 12 11 11 10 10 11 12 12 12 12 12 11 11 11 11 11 10 10 9 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 8 8 9 9 10 11 12 13 13 13 13 13 12 12 12 12 11 9 7 5 6 7 9 11 11 10 7 5 4 4 5 7 7 8 9 11 11 10 8 8 9 10 12 13 13 12 11 11 10 9 9 10 10 11 11 11 10 9 10 12 14 16 16 15 14 13 12 13 13 13 13 12 12 11 11 11 11 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 7 7 8 10 11 11 11 10 9 9 nan
nan 11 11 11 11 11 11 10 10 9 9 10 11 12 12 12 12 11 11 10 10 10 11 11 11 10 9 9 9 9 10 11 11 11 11 10 10 10 9 9 10 10 11 12 12 13 13 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 9 10 11 12 13 13 13 13 13 13 13 13 13 12 11 8 6 5 6 8 11 14 15 13 11 8 7 7 8 9 8 8 9 10 10 9 8 8 9 11 14 14 14 13 12 11 10 10 11 11 12 12 11 10 9 8 10 11 14 15 15 14 13 12 12 13 12 12 12 12 12 12 11 11 11 11 12 12 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 11 11 11 11 11 11 11 9 8 7 7 8 10 12 13 12 12 10 9 9 nan
nan 12 12 12 12 12 11 10 10 9 9 10 11 12 12 12 12 11 11 10 10 10 10 11 11 10 10 10 10 11 11 12 11 11 10 10 10 9 9 9 9 9 10 11 12 13 13 12 12 11 11 11 10 9 9 9 9 8 8 8 8 7 7 8 9 10 11 12 13 13 13 13 12 12 13 13 13 12 10 7 5 5 6 9 11 14 15 14 13 11 11 11 10 8 7 7 8 10 10 9 9 9 11 14 15 15 14 13 12 11 10 10 11 12 13 12 10 9 7 7 9 12 15 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 8 7 6 7 10 12 13 14 13 11 10 9 9 nan
nan 13 13 13 13 12 12 11 10 10 10 11 11 11 12 12 12 11 10 10 9 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 9 9 9 9 9 10 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 7 8 9 10 11 12 12 12 12 12 12 12 12 13 14 13 12 9 7 5 6 7 8 9 11 11 12 12 12 13 12 10 8 7 8 9 11 11 11 10 11 13 15 15 14 12 12 11 11 11 11 12 12 12 11 10 9 8 8 10 13 15 15 14 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 9 8 7 7 8 10 12 13 13 12 10 9 9 10 nan
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nan 13 14 14 14 13 12 12 12 12 12 12 12 12 12 13 13 12 11 11 10 9 8 7 7 7 7 7 8 10 11 12 12 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 13 15 15 14 12 10 8 7 8 8 8 7 7 6 6 7 8 9 10 12 13 13 13 14 14 15 15 15 14 14 15 16 16 15 13 12 12 12 12 12 12 12 11 10 9 8 8 8 9 11 12 13 14 14 13 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 9 10 10 11 nan
nan 12 13 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 8 8 7 7 7 7 9 10 11 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 13 13 12 12 12 13 14 15 14 13 10 8 6 7 7 8 8 7 6 6 6 6 7 8 10 12 13 14 14 15 16 16 15 15 14 14 14 15 15 15 14 13 13 12 12 12 12 12 11 9 7 5 5 7 9 11 13 13 14 14 13 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 10 11 11 nan
nan 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 8 8 7 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 13 12 11 10 9 8 8 8 7 7 6 5 5 5 5 6 7 9 11 13 14 14 14 15 15 14 13 13 12 13 14 14 15 14 13 12 11 11 11 12 11 10 8 5 4 5 8 12 14 14 14 14 14 14 13 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 8 8 9 10 11 11 12 nan
nan 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 12 12 13 13 14 13 13 12 11 10 8 6 5 4 4 4 5 6 8 11 13 14 13 13 13 13 13 12 12 12 12 12 13 14 13 12 11 10 9 9 10 9 7 5 4 5 9 12 15 16 15 14 14 14 13 13 12 12 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 9 8 8 8 9 10 11 12 12 nan
nan 12 12 12 11 12 12 13 13 13 13 12 12 12 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 11 12 12 12 13 14 15 15 17 17 17 17 16 14 12 10 7 6 5 5 5 7 9 11 13 13 12 11 11 11 11 12 12 12 12 13 13 13 13 11 10 8 7 7 7 6 5 5 6 9 12 15 16 15 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 9 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 12 nan
nan 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 9 9 9 10 10 11 11 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 10 11 12 12 12 13 13 13 13 14 14 16 17 18 19 20 19 17 15 12 9 7 6 7 9 10 11 12 10 9 9 9 10 11 12 13 13 13 13 13 13 12 10 8 6 5 6 6 6 7 8 10 13 15 16 16 15 13 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 11 11 12 12 12 12 nan
nan 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 10 10 9 8 9 9 10 11 12 13 13 13 13 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 12 12 12 12 12 12 12 12 12 13 14 15 17 19 20 19 18 15 12 9 8 9 10 11 12 10 8 7 7 8 10 12 13 14 14 14 13 12 11 9 7 5 5 5 7 8 9 10 12 14 15 16 16 16 14 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 nan
nan 13 12 12 12 12 13 13 13 13 13 12 12 11 10 10 10 9 9 8 8 9 9 10 11 12 13 13 13 13 13 13 13 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 12 13 14 16 17 16 15 13 10 9 9 10 11 12 11 9 9 8 8 10 12 14 14 14 13 12 10 8 6 4 4 5 7 9 10 11 13 14 15 16 16 16 15 14 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 12 12 13 12 12 12 12 11 nan
nan 13 13 12 12 12 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 10 10 11 12 12 12 13 13 13 12 12 12 12 12 12 11 10 10 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 10 10 11 12 12 13 12 10 10 9 9 10 10 11 11 10 9 9 11 12 14 14 14 13 10 8 6 4 4 6 8 10 11 12 13 14 15 16 17 16 16 14 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 12 12 13 13 12 12 12 11 11 nan
nan 14 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 11 10 11 11 11 11 11 12 12 12 12 13 13 13 12 12 11 10 9 8 8 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 9 9 10 10 11 11 12 11 11 10 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 8 8 10 12 13 14 14 13 11 9 7 5 5 7 9 11 12 12 13 14 16 17 18 18 16 14 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 11 12 13 13 13 12 12 11 11 11 nan
nan 14 14 14 13 13 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 9 10 11 12 12 13 13 13 13 12 11 10 9 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 14 14 13 12 10 10 9 8 7 7 7 7 7 8 9 9 9 8 8 8 8 9 8 7 7 7 10 12 13 14 13 12 10 8 8 8 10 12 13 13 13 14 15 16 18 19 19 18 16 14 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 11 11 11 10 9 9 9 10 10 11 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 11 13 13 13 13 12 12 12 11 11 nan
nan 15 14 14 13 13 12 12 11 12 12 12 12 13 13 14 14 13 13 12 11 10 10 8 7 6 6 7 7 8 10 11 12 12 13 13 13 12 12 11 10 9 9 9 9 10 11 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 10 12 13 13 14 14 15 15 15 14 13 12 10 10 9 8 8 8 9 10 11 10 9 8 8 8 9 9 8 7 6 7 9 12 13 13 12 11 10 10 12 13 14 14 14 14 14 15 16 18 19 19 19 17 15 14 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 13 13 13 13 12 12 11 10 10 10 11 11 11 11 10 9 9 9 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 11 12 12 13 13 12 12 12 12 12 12 nan
nan 14 14 14 13 12 12 11 11 12 12 13 14 14 15 15 14 14 13 12 10 9 8 7 6 5 5 5 6 7 9 10 12 12 12 12 12 12 12 12 12 10 10 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 9 8 7 7 8 9 10 11 12 12 12 13 14 15 15 15 14 12 11 10 10 10 10 11 12 13 13 13 12 11 11 10 9 8 6 6 7 9 11 11 10 9 8 9 11 12 13 13 12 12 12 14 16 18 19 20 19 18 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 13 12 12 11 10 10 11 12 12 12 11 11 11 10 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 nan
nan 14 14 13 13 12 12 12 12 12 13 14 14 15 15 15 14 13 12 11 10 9 8 7 7 7 6 6 6 7 8 10 12 13 13 12 12 12 12 12 12 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 8 7 6 7 7 8 9 10 10 10 11 12 13 14 14 14 13 12 11 11 10 11 11 12 13 14 14 14 14 13 11 9 7 6 6 8 9 9 8 6 5 6 7 9 10 9 9 9 11 13 16 18 20 20 21 20 18 16 15 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 13 13 13 13 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 12 11 10 9 8 8 8 8 8 8 7 7 7 8 10 12 14 14 14 13 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 9 9 9 9 10 11 12 12 12 12 11 11 11 11 11 11 12 12 13 13 14 13 12 10 9 7 6 7 8 8 8 6 4 4 6 7 9 10 10 10 11 13 15 17 19 20 21 21 20 19 17 15 14 14 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 11 11 11 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan 13 13 13 13 14 14 14 14 14 14 14 13 13 13 12 11 10 10 9 9 8 8 9 9 10 10 9 8 8 8 10 12 14 15 15 15 14 13 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 9 10 11 12 12 13 12 11 10 10 10 10 9 9 8 8 9 10 10 11 11 10 10 10 11 11 11 12 12 12 12 12 11 10 9 9 8 8 8 9 9 8 6 5 5 6 8 10 12 12 13 14 15 16 18 20 21 22 21 20 18 17 15 14 14 13 13 13 13 13 12 12 12 12 12 13 13 13 12 12 13 13 13 13 13 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 12 12 12 11 11 11 12 12 11 12 12 13 13 12 11 10 10 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 11 nan
nan 14 14 14 15 15 15 15 15 14 14 13 13 12 12 11 11 10 10 9 9 9 9 10 11 11 11 10 9 9 9 10 11 13 14 14 14 13 12 12 12 12 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 11 11 9 8 7 7 8 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 7 7 7 7 7 9 11 12 13 14 16 18 20 22 23 23 21 19 17 16 15 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 11 11 11 11 12 12 13 12 12 12 11 11 11 11 11 11 12 12 11 nan
nan 14 15 15 16 16 16 16 15 14 13 13 12 11 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 9 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 10 9 8 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 13 14 15 15 14 13 12 11 10 10 9 9 8 7 6 6 8 10 12 13 16 20 23 25 25 25 23 20 17 16 15 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 12 13 13 14 13 12 12 11 12 13 13 13 13 13 13 12 12 12 11 11 12 12 12 12 nan
nan 15 15 16 16 16 16 15 15 14 12 11 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 12 13 13 13 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 11 11 10 9 8 8 9 9 9 9 10 10 10 10 11 11 12 13 15 16 17 16 14 13 12 11 10 10 9 9 8 7 6 6 8 11 14 17 21 25 27 28 27 25 21 18 16 14 14 14 14 14 14 13 13 13 13 12 12 11 12 12 12 12 12 12 12 13 13 14 13 13 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 14 14 13 13 12 12 12 12 12 12 nan
nan 16 15 15 14 14 14 14 14 14 12 11 9 8 8 9 10 10 10 11 12 12 12 12 12 11 11 11 11 11 10 10 9 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 13 14 15 16 15 14 13 12 11 10 9 9 9 9 8 8 9 11 14 17 20 24 26 27 27 25 22 19 16 15 14 13 13 14 14 14 14 13 13 12 12 12 11 12 12 12 12 13 13 13 13 14 14 14 13 13 12 11 11 10 11 11 11 12 12 13 13 13 12 12 12 12 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 12 12 12 12 12 12 12 nan
nan 15 14 13 13 12 12 13 14 15 14 12 10 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 12 13 14 14 14 13 13 12 11 10 9 9 9 9 9 10 11 13 16 18 20 22 23 23 23 21 18 17 15 14 14 13 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 13 13 13 13 14 14 14 13 12 12 11 10 11 11 12 12 12 13 13 13 12 12 12 12 12 11 11 11 12 12 12 12 13 13 13 12 12 12 12 13 13 13 12 12 13 13 13 12 11 10 10 10 11 12 12 12 nan
nan 13 13 12 12 12 12 12 14 15 15 15 12 9 8 8 9 10 11 12 12 12 12 12 12 13 13 12 12 12 12 11 11 11 10 10 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 12 11 10 10 9 9 9 10 11 12 13 14 15 15 16 17 18 19 18 17 16 15 14 14 13 13 13 13 13 13 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 12 13 13 14 13 13 13 12 12 12 12 12 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 11 12 12 12 nan
nan 12 11 12 12 13 13 12 12 14 16 17 15 12 11 10 10 11 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 11 11 10 9 9 9 10 11 11 11 11 11 12 13 13 15 16 17 16 16 15 14 14 13 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 12 12 12 12 12 12 12 13 13 14 14 14 14 13 13 12 13 13 13 13 13 12 11 11 11 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 12 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 1 1 1 2 2 2 3 4 6 10 12 13 13 12 10 9 8 8 8 8 8 7 7 6 6 5 6 9 12 13 9 4 2 2 2 2 2 2 2 2 3 6 9 14 20 25 26 24 20 15 8 4 2 2 2 3 3 4 4 5 6 10 34 84 165 285 429 551 586 554 507 466 450 466 510 554 492 340 270 274 317 361 397 439 502 570 598 626 664 711 761 801 801 772 733 697 673 653 630 599 549 472 385 316 273 255 261 293 367 418 428 384 281 154 68 27 18 17 19 25 34 44 52 58 55 54 49 37 22 14 11 13 17 21 27 31 40 55 75 101 134 170 189 165 147 228 294 323 324 332 349 378 421 490 610 728 754 713 643 590 511 448 395 356 341 354 402 488 576 609 592 551 542 539
0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 1 1 2 2 4 7 8 9 10 9 7 6 5 5 4 4 4 4 4 3 2 3 4 6 7 7 5 3 2 2 2 2 2 2 2 2 3 5 9 15 22 25 24 21 18 13 7 3 1 1 1 2 2 2 3 4 4 4 13 31 65 125 231 369 460 493 482 455 443 456 496 536 499 348 296 320 379 430 474 512 560 610 636 637 628 614 601 592 578 573 563 538 495 439 388 337 279 214 155 114 94 91 101 130 177 203 197 159 101 64 47 45 51 58 64 70 75 78 80 85 68 49 33 20 11 5 4 6 11 15 17 18 20 29 48 60 69 77 78 68 58 133 237 336 410 484 565 629 702 810 949 1049 1067 1022 936 785 657 530 401 276 180 161 205 290 382 435 452 494 565 617
2 1 0 0 0 0 0 0 0 0 0 1 3 3 3 2 1 1 1 0 0 0 1 2 4 6 7 8 7 6 4 4 3 2 2 2 2 1 0 0 0 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 4 10 16 21 23 21 19 17 15 8 3 2 1 1 1 2 2 2 3 3 3 10 24 48 82 128 225 331 423 490 534 558 572 579 572 529 469 438 432 441 449 445 437 429 417 398 390 383 378 375 374 364 349 325 293 255 213 177 145 113 83 62 51 50 57 69 86 103 104 91 70 51 46 58 78 101 121 130 129 124 120 115 92 62 37 20 10 4 1 2 4 7 11 16 19 24 33 44 41 37 33 29 22 30 67 128 206 292 403 540 678 809 932 1044 1094 1077 1033 987 832 741 622 478 333 219 200 216 252 292 318 323 362 445 541
3 1 0 0 0 0 0 0 0 0 0 1 3 5 5 3 2 1 1 0 0 1 1 2 4 6 8 8 8 7 6 5 4 3 3 3 3 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 4 10 16 20 21 18 17 18 17 11 6 3 2 2 2 3 2 2 2 3 3 9 27 56 87 105 140 192 256 326 393 463 515 549 555 517 457 402 355 314 275 233 203 177 161 161 179 194 215 235 244 235 211 177 141 110 88 76 66 59 53 50 50 54 57 60 69 71 66 57 48 49 56 79 107 135 157 162 143 131 125 111 83 56 31 15 9 5 3 1 1 2 6 13 22 30 36 35 27 20 16 13 8 9 16 32 60 104 164 241 359 505 651 757 807 814 815 846 854 825 753 656 555 458 397 366 359 361 326 308 336 406 495
8 4 1 0 0 0 0 0 0 0 0 1 2 4 4 4 4 3 2 1 1 3 2 3 5 7 9 11 11 9 8 7 6 6 5 5 5 2 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 3 9 15 20 22 21 20 19 17 13 8 5 3 2 2 2 2 1 2 2 2 5 18 62 112 124 125 124 128 139 160 195 217 224 216 197 180 161 143 127 111 96 92 92 97 107 124 141 159 171 172 161 136 108 83 66 60 56 55 54 55 56 58 61 62 61 61 57 52 47 48 60 77 97 116 130 139 142 134 125 113 94 79 66 46 25 14 7 3 1 0 0 1 3 10 19 25 24 17 12 9 9 13 15 13 11 12 19 43 105 197 309 420 464 491 534 609 710 795 829 821 781 727 707 665 641 634 623 553 540 504 457 438
18 12 4 3 4 4 1 0 0 0 0 0 0 2 3 3 5 7 6 3 1 3 3 5 7 9 11 13 13 11 9 7 7 7 6 6 5 3 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 5 11 17 22 25 25 22 18 14 10 6 4 3 2 1 1 1 1 1 1 2 10 62 123 150 146 127 107 90 79 72 69 67 63 58 60 64 67 70 73 78 88 99 109 116 126 131 136 137 134 125 108 88 71 61 60 62 66 72 79 86 87 91 92 88 79 65 59 53 52 64 83 94 99 101 104 105 105 104 98 88 81 83 72 52 30 15 6 2 0 0 0 1 7 16 20 16 10 5 5 8 11 8 4 1 1 3 15 54 124 213 299 307 313 358 444 537 619 700 758 792 824 897 931 930 907 884 868 831 760 662 552
27 17 4 2 2 2 1 1 1 0 0 0 0 0 1 3 6 8 7 3 1 2 3 5 7 9 10 11 10 9 7 7 7 8 7 6 5 4 2 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 4 9 15 20 23 22 20 16 12 7 4 3 2 1 1 1 1 1 1 1 2 12 68 131 168 170 147 125 107 93 84 78 73 69 68 69 74 80 86 91 98 108 114 118 119 122 121 120 118 113 102 90 77 69 67 74 87 99 115 131 141 143 140 132 121 104 77 71 63 58 65 74 78 79 82 90 87 86 86 87 87 82 91 85 65 38 17 7 2 0 0 0 3 10 16 16 8 3 2 2 5 5 4 2 2 2 2 6 20 45 84 136 193 233 276 323 361 405 501 594 668 773 895 989 1042 1059 1063 1031 1001 941 829 650
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