Vorticity
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nan 4 3 2 -1 -2 -3 -3 -2 -1 -0 2 3 4 5 5 6 6 7 8 9 9 9 9 8 7 6 6 7 8 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 7 7 8 10 12 13 14 15 16 16 17 17 17 18 18 19 20 20 21 20 19 19 19 19 19 19 19 18 16 13 11 10 10 9 9 9 9 9 9 9 9 8 7 6 5 5 5 5 5 5 5 5 6 7 8 9 10 11 11 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 9 8 8 7 6 5 4 4 4 4 4 5 6 8 10 12 13 13 13 12 12 11 11 11 11 12 13 13 13 12 11 10 10 11 11 nan
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nan 14 15 15 15 15 15 14 13 12 11 10 9 9 10 11 11 11 11 10 10 9 9 9 9 8 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 12 12 11 11 11 10 10 10 11 11 11 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 11 11 10 9 7 6 5 6 7 8 9 9 9 7 7 7 7 8 9 9 11 13 15 17 16 14 13 13 13 15 17 19 20 21 21 21 19 16 14 10 9 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 10 10 11 11 11 11 nan
nan 13 14 14 15 16 16 15 14 13 11 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 9 9 9 9 10 10 11 12 12 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 8 6 4 4 4 5 7 8 8 7 6 5 5 6 7 8 10 11 13 15 15 14 12 12 12 13 15 17 19 20 21 20 21 20 17 15 11 9 10 11 12 12 12 12 11 12 11 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 10 10 10 11 11 11 nan
nan 11 11 12 13 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 12 13 13 13 12 12 11 10 9 8 9 9 10 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 11 10 11 11 11 12 12 12 12 12 12 12 12 11 10 7 6 5 4 5 5 5 5 5 5 5 5 6 6 8 9 12 14 15 15 14 13 12 11 12 15 18 20 21 20 19 18 18 16 15 12 10 11 11 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 11 11 11 11 nan
nan 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 9 10 10 11 11 12 13 14 13 12 11 10 9 8 8 8 9 10 12 13 14 13 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 15 16 16 16 15 13 11 9 7 6 4 3 2 3 4 6 6 6 6 8 11 15 18 17 16 15 13 12 10 11 14 17 20 20 19 17 16 15 15 14 12 11 11 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 12 13 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 9 10 11 11 11 10 9 9 9 10 11 12 13 13 13 12 11 10 10 9 8 8 8 8 10 11 13 14 14 13 12 11 10 9 8 8 7 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 14 15 16 17 18 18 18 16 15 13 10 8 6 3 2 2 4 6 6 6 6 9 14 19 20 18 16 14 13 11 10 10 12 15 18 19 18 17 15 15 14 13 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 11 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 8 9 10 11 12 13 13 12 11 10 10 9 9 9 8 8 8 9 10 11 12 13 13 13 12 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 15 16 16 16 16 15 14 11 8 4 2 1 3 5 6 6 8 12 17 20 19 16 14 12 11 11 10 10 11 13 15 17 18 17 16 15 14 13 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 nan
nan 14 14 13 13 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 11 12 12 12 12 11 11 10 10 10 9 9 8 8 8 9 10 10 11 12 13 13 12 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 10 10 11 12 12 12 12 12 13 14 14 15 16 15 12 9 4 0 0 2 6 8 10 12 15 19 19 17 15 13 12 11 11 11 11 10 11 12 14 15 15 15 15 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 12 11 11 11 11 10 10 10 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 12 11 11 11 11 nan
nan 14 15 14 14 13 12 11 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 12 13 13 12 11 10 9 8 8 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 11 9 8 8 9 9 10 10 10 11 12 13 14 15 15 14 11 8 4 1 2 5 9 12 14 16 17 18 18 16 15 14 13 12 11 11 11 11 10 10 10 10 11 13 14 15 15 15 14 14 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 11 11 10 10 11 11 12 12 11 11 11 11 nan
nan 14 14 14 14 13 12 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 11 11 12 12 12 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 14 13 13 12 10 8 7 7 7 7 8 9 10 11 13 14 14 14 12 9 7 5 5 6 8 11 14 15 16 16 15 15 15 15 14 13 12 11 10 11 11 9 6 4 4 6 11 16 18 18 17 15 14 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 11 12 11 11 11 nan
nan 13 13 13 12 12 11 10 9 9 10 10 10 10 11 11 10 9 9 9 9 9 9 10 11 11 12 12 12 13 13 13 12 11 10 10 11 11 11 12 12 12 12 11 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 13 14 14 14 12 11 9 8 6 6 6 7 9 10 11 13 13 12 10 8 7 5 6 7 8 10 12 13 13 13 13 13 14 13 12 11 9 8 9 10 9 5 2 -1 -0 6 15 22 24 23 20 16 13 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 nan
nan 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 12 12 12 13 13 13 13 12 11 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 10 10 9 9 10 11 12 12 12 12 12 12 12 13 14 15 16 17 15 14 12 9 7 5 5 6 8 9 11 12 11 10 8 7 5 5 6 7 9 10 11 12 12 12 13 13 12 10 8 6 5 6 7 5 0 -2 -4 2 13 22 27 28 25 20 15 13 13 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 10 nan
nan 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 10 9 9 9 11 12 13 13 14 13 13 13 13 14 15 16 18 20 20 19 17 14 10 8 6 6 7 9 10 11 11 10 8 7 6 5 6 7 8 10 11 12 12 13 13 13 12 9 6 3 2 2 2 0 -2 -3 -0 9 19 25 28 27 23 18 15 14 13 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 11 11 12 12 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 nan
nan 12 12 12 11 11 10 10 11 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 12 12 12 12 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 10 9 9 10 11 12 13 13 14 13 13 13 13 13 14 15 17 19 20 21 21 19 16 13 10 8 8 10 11 11 11 10 9 7 6 6 6 7 8 10 11 12 12 13 13 13 11 7 4 1 -0 1 1 1 1 3 8 16 22 25 26 24 21 18 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 10 10 11 11 11 11 11 10 10 10 11 11 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 11 12 12 12 12 12 12 12 11 11 12 14 16 19 21 21 20 17 15 12 11 11 12 12 11 11 9 7 6 6 6 7 9 10 11 12 13 13 12 10 7 4 2 0 2 4 5 7 8 10 15 20 23 24 24 22 19 17 15 14 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 11 11 11 10 11 11 11 11 11 12 12 13 14 14 14 14 14 13 13 12 12 12 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 12 12 13 13 12 12 11 12 12 12 12 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 10 10 11 11 11 10 9 9 9 10 11 13 16 18 18 18 17 15 13 12 12 12 12 11 10 8 7 7 7 8 9 10 11 12 12 11 8 6 3 2 2 3 7 10 11 13 14 15 18 21 22 22 21 19 18 17 16 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 11 12 12 12 12 12 12 13 13 14 14 14 14 14 13 12 12 12 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 11 12 13 13 13 12 11 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 10 8 8 7 6 6 7 9 10 10 10 10 9 8 7 7 7 7 8 10 12 14 15 16 15 13 12 11 11 11 10 10 9 9 9 9 10 10 10 11 11 10 8 5 3 2 3 6 9 12 14 15 16 17 18 20 21 21 19 18 17 17 17 16 15 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 13 12 12 12 12 13 13 14 14 14 13 13 12 12 12 11 11 11 11 11 nan
nan 13 13 13 13 12 12 12 11 11 10 10 9 9 9 10 11 12 12 12 13 13 14 14 14 13 12 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 8 7 7 7 7 8 9 11 12 12 12 11 9 8 6 6 5 4 5 7 8 10 11 12 12 12 11 11 11 10 10 9 9 9 10 11 10 11 11 11 10 8 5 4 3 4 7 10 13 14 15 16 17 19 20 20 20 18 17 16 16 17 17 16 14 14 13 13 12 12 12 12 12 12 12 11 11 11 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 nan
nan 13 13 13 13 12 12 11 10 10 10 9 10 10 11 12 13 14 15 16 16 15 15 13 12 11 9 8 8 9 10 11 11 12 12 12 11 11 11 11 11 12 12 12 11 11 11 12 12 13 12 12 11 11 11 12 12 12 12 10 8 8 8 9 10 12 13 14 15 15 15 13 11 9 8 6 5 4 5 6 6 7 8 9 9 10 11 11 11 10 9 8 8 9 10 10 10 11 11 11 9 7 5 5 6 8 10 11 12 12 13 15 17 20 20 20 19 16 15 15 16 16 16 16 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 nan
nan 13 13 13 13 12 12 11 10 10 10 10 11 12 13 14 15 16 17 17 16 15 13 11 9 8 7 7 7 9 11 12 12 13 12 12 11 10 10 9 10 12 12 12 12 11 11 12 12 13 12 12 11 11 12 12 12 12 12 10 9 9 10 11 12 14 14 15 16 16 16 16 14 13 11 9 8 7 7 7 7 8 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 11 10 9 8 8 8 9 10 10 10 10 10 12 14 17 19 20 20 18 15 14 14 15 16 16 15 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 nan
nan 12 12 12 12 11 11 11 10 10 11 12 13 14 15 16 17 16 16 15 14 12 11 9 8 7 7 7 8 10 12 13 14 14 13 13 12 11 11 10 10 11 12 12 12 11 11 11 12 12 12 12 11 11 12 12 13 13 12 11 9 9 9 9 10 11 12 12 13 15 16 17 16 15 13 12 10 10 9 9 8 9 10 12 13 14 15 14 13 12 12 11 10 9 9 9 9 9 8 7 7 8 9 10 10 8 8 8 9 10 12 15 17 19 20 20 17 14 14 13 14 15 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 14 13 12 12 12 12 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 10 10 10 10 10 11 13 14 15 16 16 15 14 13 12 11 10 9 9 8 8 7 7 8 10 11 12 13 13 13 12 13 13 13 13 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 13 13 14 13 11 9 7 6 6 7 8 9 9 10 12 13 15 15 15 14 12 11 11 10 10 9 10 11 12 13 15 16 16 15 13 12 11 10 9 8 8 8 6 5 4 6 7 9 9 8 7 7 9 10 12 14 16 18 20 21 20 17 15 14 13 13 15 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 12 12 12 12 11 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 10 10 10 11 11 12 13 14 15 14 14 13 12 11 10 9 9 8 8 8 9 8 8 8 9 10 11 11 11 11 11 12 13 14 15 14 14 13 12 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 11 9 7 6 6 7 8 8 9 9 10 12 13 13 13 12 11 11 11 10 10 10 11 11 11 11 12 12 12 11 10 9 9 9 9 9 7 5 4 4 6 8 10 11 10 10 11 12 13 14 15 17 19 21 22 20 17 15 13 13 13 15 15 15 15 15 14 13 13 13 12 12 12 12 12 12 12 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 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 11 12 12 12 12 12 nan
nan 11 11 11 10 11 11 11 11 11 12 12 12 13 12 11 11 10 9 9 8 8 8 9 9 10 10 9 9 9 10 10 11 11 11 10 10 10 12 13 14 14 13 12 10 9 9 9 10 11 12 13 13 13 13 12 12 12 13 12 12 10 9 9 9 9 9 8 7 7 7 8 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 9 7 6 5 6 8 10 12 13 13 13 14 14 14 15 17 19 20 22 21 19 16 14 13 12 14 15 15 16 15 14 14 13 13 12 12 12 12 12 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 7 7 8 9 10 11 11 11 11 10 11 11 12 12 13 12 11 10 9 10 11 12 13 13 12 10 8 8 8 9 10 11 12 12 13 12 12 13 13 13 13 13 12 11 12 12 12 11 9 7 5 5 6 7 9 9 10 10 10 11 10 10 10 9 9 9 10 11 12 13 14 14 14 14 12 11 9 8 8 8 8 9 9 10 12 12 13 13 14 16 17 19 21 22 22 19 17 15 13 12 12 13 15 15 15 15 14 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 14 14 14 14 14 14 13 13 12 11 10 9 8 7 6 6 6 6 7 7 9 11 12 13 13 12 12 12 12 13 14 14 13 13 12 11 11 11 13 13 14 13 12 11 10 10 10 11 13 13 14 14 15 14 15 15 15 15 14 13 12 12 12 13 14 13 11 8 7 6 5 6 8 8 9 9 10 10 9 9 9 9 10 12 13 15 16 17 17 17 15 14 12 10 9 9 10 10 9 8 7 8 10 12 13 15 17 19 21 23 24 23 20 17 15 13 12 12 12 13 15 15 15 15 14 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 12 nan
nan 15 15 15 15 14 13 13 12 11 10 8 7 6 5 4 4 5 6 7 9 10 12 13 14 13 13 13 14 15 15 14 13 11 10 10 10 11 12 13 14 14 14 12 12 11 12 12 13 14 14 15 16 16 17 16 16 16 15 14 13 12 11 12 13 14 14 12 10 9 8 8 8 8 9 9 9 10 9 9 9 10 10 11 12 13 15 16 16 16 15 14 12 10 9 9 10 11 11 9 7 7 9 11 14 16 19 21 23 25 25 24 21 17 15 14 12 12 12 13 14 15 15 15 15 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 13 13 13 13 12 11 11 11 11 11 nan
nan 15 14 12 11 10 9 9 9 9 8 7 6 5 4 4 5 6 7 9 11 12 12 12 11 11 12 13 14 15 15 13 10 9 8 9 9 11 12 12 13 13 13 12 12 11 11 11 12 12 13 14 15 15 15 14 14 13 13 12 12 11 11 12 12 13 12 12 11 11 10 10 10 10 10 10 11 11 11 10 11 11 11 12 12 12 12 13 14 14 14 13 11 10 9 9 10 11 11 11 10 11 13 15 18 20 22 24 24 24 23 21 18 15 14 13 12 11 12 13 14 15 15 15 14 14 13 13 13 12 12 12 12 12 13 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 12 12 13 14 13 12 11 11 10 11 11 11 nan
nan 12 10 9 8 7 7 7 8 7 7 7 7 6 6 6 7 8 9 10 11 11 12 11 11 10 11 12 13 13 12 10 9 8 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 12 11 11 11 11 11 12 13 14 13 13 11 10 9 9 10 11 12 12 13 14 16 18 20 21 21 22 21 21 19 17 15 14 13 12 11 11 12 13 14 15 15 15 14 14 13 13 12 12 12 12 12 12 13 13 14 14 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 13 12 12 10 10 10 10 11 11 11 nan
nan 9 8 7 7 7 8 10 10 10 10 10 10 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 10 11 12 12 12 12 12 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 12 12 12 11 11 11 11 11 12 12 13 13 13 12 10 9 9 9 10 12 13 13 14 15 15 16 16 16 17 17 17 17 17 16 15 14 13 12 11 11 12 12 14 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 13 12 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 12 nan
nan 10 10 10 10 10 12 13 14 14 14 14 13 12 12 12 12 13 14 13 13 13 12 12 13 13 13 12 12 11 11 11 11 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 10 10 10 10 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 9 9 9 9 10 12 13 14 14 14 14 14 13 13 13 13 14 15 15 15 15 14 13 12 11 11 12 13 14 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 4 5 5 4 3 2 1 1 1 0 0 0 0 1 1 1 2 3 4 6 10 17 26 30 28 22 16 11 8 6 7 11 19 28 34 40 45 49 51 54 57 56 49 39 28 21 18 17 14 14 13 12 11 10 7 5 3 2 2 1 1 2 5 8 13 20 31 46 65 88 123 171 231 300 372 441 453 414 339 252 181 126 98 89 83 72 59 47 38 34 35 57 94 159 260 407 589 749 882 988 1067 1148 1224 1287 1324 1325 1272 1190 1092 974 832 668 509 381 277 178 88 35 10 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 3 3 5 7 9 9 8 10 9 5 2 1 1 2 8 24 46 71 99 127 155 193 216 238 264 301 358 473 604 712 773 777 725 642 537 473 506 309 144 42 1
5 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 1 3 6 12 20 28 28 22 14 8 5 4 4 6 10 17 24 29 35 41 47 55 54 49 41 31 21 16 14 14 13 13 12 11 10 8 6 5 2 2 2 2 4 10 19 30 41 58 80 106 139 183 247 327 407 467 486 453 359 245 146 88 53 29 18 15 14 12 10 7 5 3 2 6 17 46 105 208 376 550 700 825 948 1063 1160 1238 1285 1291 1258 1189 1093 968 813 618 405 234 115 45 14 6 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 3 4 4 3 3 3 2 1 0 0 0 1 2 1 0 0 1 2 7 17 32 54 77 94 104 135 170 207 242 273 299 367 480 599 686 718 667 585 501 434 389 233 88 14 8
6 6 6 4 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 5 11 18 23 19 13 8 6 4 4 4 5 8 12 17 22 29 36 41 42 38 30 20 11 10 9 9 10 11 11 10 9 7 7 4 4 5 6 6 10 19 35 56 82 115 153 195 245 307 384 464 525 542 498 399 277 166 84 37 15 7 4 3 2 2 1 1 0 0 0 0 1 11 39 98 236 398 538 661 792 920 1025 1114 1180 1218 1231 1201 1126 1003 828 592 318 137 42 8 4 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 4 4 4 4 4 4 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 1 4 10 18 30 45 53 58 67 99 142 194 249 298 310 336 394 474 556 605 596 555 513 474 397 246 105 33 35
11 8 7 5 3 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 6 12 18 17 12 8 6 5 5 4 3 4 6 8 10 13 18 21 25 24 19 12 5 5 5 6 7 9 9 8 7 6 5 4 7 10 13 15 17 21 31 53 86 126 173 223 278 339 403 458 497 502 461 380 270 158 75 27 9 3 0 0 0 0 0 0 0 0 0 0 0 2 13 46 176 311 422 514 602 702 822 931 1022 1093 1150 1168 1135 1037 864 601 293 109 26 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 4 4 5 5 5 4 4 4 4 3 3 2 1 1 1 1 1 0 0 0 0 0 0 7 16 25 34 42 37 37 34 37 63 103 144 196 258 322 378 399 391 384 408 432 458 485 509 518 478 370 275 185 101
30 21 12 8 7 8 8 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 6 12 19 22 19 13 8 7 6 5 5 5 6 7 6 5 5 7 11 13 13 8 3 3 3 4 6 7 7 6 4 3 3 4 7 12 16 19 20 19 22 30 44 66 96 132 175 221 269 318 366 405 424 414 345 216 105 40 15 6 2 0 0 0 0 0 0 0 0 0 0 1 9 49 213 333 409 463 519 602 713 802 873 936 1003 1059 1075 1025 887 640 336 136 34 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 4 5 5 5 5 5 4 3 3 2 2 1 1 1 1 1 1 0 0 0 0 0 3 30 58 78 87 91 57 40 36 47 77 118 152 210 302 418 543 562 470 339 279 304 363 436 498 526 506 439 383 323 242
45 36 23 16 14 13 12 7 4 2 1 0 0 0 0 0 1 1 1 1 2 3 4 9 15 23 29 28 19 11 9 7 6 6 6 7 9 7 5 3 4 7 9 10 8 5 3 3 4 6 7 5 3 2 1 2 3 6 10 15 19 20 19 18 18 20 24 29 34 45 66 101 146 201 267 340 408 438 365 251 145 81 44 20 6 1 0 0 0 0 0 0 0 0 1 34 135 352 467 485 480 505 567 638 693 736 776 825 886 930 932 864 699 448 237 93 25 18 14 9 6 6 4 2 0 0 0 0 0 1 2 3 4 5 5 6 7 7 6 6 6 5 4 3 3 3 2 1 1 1 0 0 0 0 0 0 1 5 16 50 84 111 126 124 82 55 47 57 86 120 152 230 368 544 672 650 519 379 362 421 482 529 542 511 485 444 403 362 321
33 28 21 19 19 19 16 12 6 2 0 0 0 1 1 2 3 3 2 2 2 3 4 8 14 20 24 26 17 11 8 6 6 6 7 7 8 7 6 6 6 8 10 13 14 10 4 3 4 6 6 5 2 1 1 1 2 4 8 12 15 16 16 16 15 15 14 13 11 10 11 19 34 65 116 191 292 417 497 480 402 305 213 136 71 32 16 8 3 1 0 0 0 1 12 131 362 591 602 506 427 413 435 482 533 579 616 645 683 727 767 779 733 594 426 272 173 158 162 134 97 66 48 31 21 14 8 3 0 0 1 2 3 3 4 5 6 7 7 7 6 5 5 4 3 3 2 2 1 1 1 0 0 0 0 0 2 9 24 47 70 93 112 114 87 62 51 60 87 114 154 246 393 546 559 537 508 516 624 711 719 666 586 533 516 492 461 425 390
16 13 10 10 8 8 10 12 8 3 0 0 1 4 7 7 5 3 2 2 2 3 3 5 8 13 17 19 12 8 6 6 6 7 7 7 7 6 7 7 7 8 11 19 21 15 7 4 5 6 6 5 3 1 1 2 2 3 5 8 11 13 14 14 13 12 11 9 8 6 5 4 5 10 27 61 126 239 430 592 684 686 595 462 327 238 194 146 93 51 26 16 15 61 179 414 676 771 582 436 350 309 271 290 336 385 421 435 454 489 548 618 673 665 603 518 453 452 479 450 384 299 214 161 130 99 65 29 4 0 0 0 1 2 3 5 6 7 7 7 7 6 5 4 4 3 2 2 1 1 1 1 1 0 0 0 1 5 11 25 40 56 70 78 68 55 53 69 94 118 165 257 392 526 431 388 429 552 731 813 736 654 665 698 689 653 599 540 489
7 3 2 4 2 3 5 4 1 0 0 1 5 11 13 12 7 2 1 1 2 2 3 3 6 10 16 20 14 10 7 7 7 7 8 8 7 7 8 8 8 9 11 20 21 15 8 4 5 6 6 5 4 3 2 2 2 2 3 6 8 11 11 11 10 9 9 8 7 6 4 3 2 2 4 9 29 82 224 448 691 885 963 883 758 674 633 598 548 491 455 446 461 543 747 870 826 607 378 275 222 185 151 143 157 184 210 225 234 256 302 373 457 528 564 573 572 583 607 615 599 544 443 364 318 267 201 117 34 8 1 0 0 1 2 3 5 7 7 7 7 6 5 5 4 3 2 2 2 1 1 1 0 0 0 0 0 1 3 10 17 24 32 40 43 46 57 81 98 118 167 256 384 510 446 383 416 587 809 936 923 877 882 881 823 735 649 590 570
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