Vorticity
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nan 15 10 7 5 4 5 7 9 11 11 11 11 12 14 16 18 21 23 24 25 23 19 11 4 -0 -2 -2 -1 -0 0 1 2 4 5 7 8 9 9 8 7 7 6 7 9 10 12 12 11 10 10 10 11 12 13 12 11 9 8 7 8 8 9 9 8 9 10 10 10 10 10 11 12 12 12 12 12 12 13 14 14 12 10 9 8 8 9 10 12 13 13 15 15 14 13 11 10 9 8 9 11 12 12 12 12 11 10 10 10 10 9 9 8 9 11 12 13 14 15 15 14 14 14 14 14 14 15 15 15 14 14 13 13 12 12 12 12 12 12 11 9 7 4 3 1 2 3 4 5 6 7 8 10 11 11 11 11 10 10 11 12 12 12 12 12 11 11 11 10 9 8 8 8 9 9 9 9 9 10 11 11 12 12 12 11 10 10 11 nan
nan 13 8 6 5 5 6 8 9 11 11 11 13 14 18 22 26 28 26 22 18 12 5 -3 -7 -7 -5 -2 0 2 3 3 3 4 4 5 6 7 8 8 7 6 5 4 5 6 7 9 9 9 9 10 11 12 12 12 10 9 8 8 10 10 11 10 9 9 9 10 9 10 10 11 12 13 13 13 12 12 12 13 13 13 12 11 10 9 10 10 11 12 12 12 13 13 13 13 12 11 11 13 15 15 16 15 14 13 12 12 12 12 11 10 9 10 12 14 15 16 16 16 16 15 15 15 15 16 16 15 15 15 15 15 15 15 15 15 15 15 14 13 10 8 6 5 4 5 6 6 7 8 8 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 11 10 9 8 8 9 9 10 10 11 11 12 12 13 14 15 15 14 13 12 12 12 nan
nan 9 8 7 6 6 6 8 9 11 13 14 16 19 23 28 31 29 22 14 8 2 -2 -6 -6 -5 -1 1 3 5 6 6 5 4 4 5 6 7 8 9 8 7 5 4 3 3 4 5 7 8 9 9 10 10 10 10 9 8 8 9 11 12 12 11 10 9 8 8 9 9 10 11 12 14 13 12 11 11 11 11 12 12 12 12 11 10 10 10 10 11 11 12 14 16 17 16 14 13 13 15 17 18 17 17 15 14 13 13 12 12 12 11 11 13 14 15 15 15 13 13 14 15 15 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 16 15 13 11 10 8 8 7 7 7 8 8 9 10 9 8 8 8 8 9 10 10 11 12 12 12 13 12 11 10 9 9 9 9 10 10 11 12 13 13 13 14 14 15 16 16 16 14 14 13 nan
nan 6 6 6 6 6 6 7 9 11 14 17 20 24 26 29 29 23 15 7 3 0 -1 -0 0 1 2 3 4 5 6 6 5 5 6 7 8 9 9 10 9 9 7 6 5 4 4 4 6 7 8 9 9 9 8 7 7 7 8 9 11 15 14 13 12 9 8 7 8 9 10 11 12 13 13 12 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 12 15 17 18 16 14 13 14 16 18 18 17 16 15 13 12 12 12 12 12 13 14 14 14 14 12 10 8 8 10 12 14 15 16 16 16 16 16 17 17 18 18 18 18 18 18 18 17 17 16 15 14 12 11 10 9 8 9 9 11 12 11 10 9 8 8 9 9 9 10 11 12 12 12 11 11 10 10 10 10 11 10 11 11 12 13 13 13 14 14 15 16 16 16 16 15 13 nan
nan 6 5 5 6 6 7 8 10 12 15 18 21 24 25 25 21 14 7 3 2 3 4 6 6 6 6 6 6 6 6 6 6 6 7 9 11 11 10 10 9 9 8 8 7 6 6 6 6 7 8 9 9 9 7 5 5 5 6 8 12 15 16 16 14 11 8 6 6 7 8 10 11 12 12 11 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 14 16 15 13 12 11 13 15 17 17 16 14 13 12 12 12 11 11 12 13 14 14 12 11 7 5 3 4 6 9 11 12 14 14 15 16 17 18 19 19 20 19 19 18 18 18 18 19 18 18 17 15 13 13 12 12 12 13 14 14 14 13 12 11 11 10 10 10 10 10 11 11 11 10 10 9 9 9 10 10 11 11 12 12 13 13 13 14 14 15 16 16 15 14 13 12 nan
nan 7 7 7 7 8 10 11 12 13 15 18 19 19 19 15 10 6 4 4 4 5 7 7 7 8 8 8 9 8 8 7 7 8 9 11 12 11 10 9 8 8 9 9 9 9 9 8 8 9 10 11 11 10 9 6 4 3 4 5 9 12 15 15 14 12 8 5 4 5 6 7 9 9 10 11 11 11 11 10 9 9 9 9 10 10 9 9 9 9 10 11 12 13 12 10 9 8 10 13 14 14 14 12 11 11 11 11 11 12 12 12 13 12 10 7 4 1 1 3 4 6 7 8 10 12 14 16 18 20 21 21 21 21 20 19 19 19 20 21 21 21 20 18 17 16 16 16 16 17 17 17 16 16 15 14 13 13 12 11 11 10 11 11 11 10 9 8 8 7 7 8 9 11 12 12 13 13 14 14 15 15 15 15 14 13 11 10 nan
nan 9 9 9 10 12 13 14 14 15 15 15 15 14 12 8 5 5 6 7 8 8 7 6 7 7 8 9 10 10 9 9 9 9 10 11 11 10 9 7 7 7 9 10 11 12 12 11 10 10 11 12 13 13 12 10 8 6 4 4 5 8 11 13 14 12 8 6 5 5 5 6 6 7 9 11 12 14 13 11 9 9 9 10 11 11 10 9 9 9 10 11 12 12 12 10 9 8 8 11 12 12 12 11 10 10 11 11 11 12 11 11 10 9 7 5 3 0 1 3 4 5 6 6 8 10 12 14 16 19 21 22 22 22 21 20 20 21 22 22 23 23 22 21 20 19 19 19 18 19 18 18 17 17 16 16 14 14 13 13 12 12 12 12 12 11 10 10 9 8 8 8 8 10 11 11 12 13 13 14 15 15 14 14 13 13 11 11 nan
nan 12 12 12 13 14 16 16 16 16 16 15 14 12 10 7 6 7 8 10 10 9 8 6 5 6 7 8 9 10 9 8 9 9 10 10 10 9 8 7 7 8 10 13 15 16 16 15 12 11 11 11 12 13 14 13 12 10 7 5 4 6 8 10 12 13 11 9 8 7 6 5 5 6 8 10 12 14 12 8 6 5 7 9 11 12 11 10 9 9 9 11 12 12 11 9 8 7 8 10 11 11 11 11 10 10 11 11 11 11 11 10 9 7 6 3 1 0 1 3 4 5 6 7 8 9 10 12 13 15 18 19 20 21 21 21 21 22 23 24 25 25 24 23 22 21 20 20 19 19 18 18 17 17 16 16 15 14 14 14 14 13 13 13 13 12 12 11 11 10 10 9 9 10 10 11 11 12 13 14 14 14 13 12 12 12 12 13 nan
nan 14 15 16 16 16 16 16 16 16 16 15 13 12 11 9 8 8 8 9 10 10 9 8 6 6 6 7 8 9 9 8 8 9 9 10 10 9 9 7 7 8 10 14 17 19 20 17 14 11 10 10 11 12 13 14 14 13 11 8 6 6 7 9 11 13 13 12 10 9 7 6 6 7 9 11 12 13 9 4 3 4 5 8 10 11 11 10 9 8 8 10 11 11 10 9 7 7 8 10 11 11 11 11 11 12 12 12 11 11 10 9 7 6 4 2 1 1 2 4 5 5 6 7 8 8 9 10 11 13 15 16 17 18 19 19 20 21 22 24 25 26 26 25 24 22 21 20 19 19 18 18 17 17 16 16 15 14 14 13 14 14 13 13 12 12 13 13 12 12 12 11 10 10 10 11 11 11 12 13 14 13 12 11 12 13 15 16 nan
nan 16 17 17 17 16 16 15 15 15 15 14 12 11 11 11 10 8 7 8 9 9 10 9 8 7 7 8 10 10 10 9 9 9 9 9 9 9 9 7 6 7 9 13 16 19 20 18 14 12 10 9 10 11 13 15 15 15 14 11 10 8 8 9 10 12 13 13 12 10 9 7 7 9 10 12 13 12 8 5 4 5 7 9 10 10 10 10 9 9 9 10 11 11 10 8 6 7 8 9 10 10 11 11 12 12 13 14 14 13 11 9 7 5 3 1 1 2 3 4 6 6 7 7 8 8 8 9 10 11 13 14 15 15 16 16 17 18 20 22 24 26 27 26 25 24 22 21 20 19 18 18 18 17 17 16 15 14 13 13 13 13 12 12 12 13 14 14 14 14 14 13 12 11 10 10 10 11 12 13 13 12 12 12 14 15 17 18 nan
nan 17 16 15 15 15 14 14 14 14 13 11 10 10 10 11 10 9 8 7 7 8 8 9 8 8 8 9 11 12 11 11 10 9 8 7 7 8 8 8 7 7 9 11 14 17 18 17 15 13 11 10 11 13 15 17 19 19 18 16 14 11 10 10 10 11 12 12 11 10 9 8 8 9 10 12 13 13 10 9 8 8 9 10 11 10 10 9 9 10 11 12 12 10 9 7 6 7 8 9 9 9 10 11 12 13 14 15 15 15 13 11 8 5 3 1 1 3 3 5 6 7 7 8 8 8 9 9 10 11 11 12 13 13 13 13 14 15 17 19 21 24 26 27 27 26 24 22 21 20 19 19 18 18 17 16 15 14 13 13 13 13 13 13 13 14 15 15 16 16 16 15 14 12 11 10 10 10 11 12 13 13 14 15 16 17 17 18 nan
nan 13 12 12 12 12 12 11 12 12 12 10 9 9 9 10 10 10 9 8 7 6 6 6 6 6 5 6 8 10 10 10 10 9 7 7 8 9 9 10 9 8 9 10 12 14 16 17 16 14 13 12 12 14 16 19 21 21 21 19 16 15 13 12 12 12 13 12 10 9 8 7 7 8 9 11 13 14 12 11 10 9 9 9 10 10 10 10 10 12 14 13 12 9 7 6 7 8 9 10 10 11 11 11 12 13 13 14 14 13 12 10 8 6 3 2 2 3 4 5 6 7 7 8 9 9 10 10 10 10 10 11 11 12 12 12 13 14 15 16 19 22 25 27 29 28 27 25 23 22 21 20 19 18 17 16 15 14 14 14 15 15 15 15 15 15 15 15 16 16 17 16 16 14 13 12 11 10 11 12 13 14 15 15 15 16 17 16 nan
nan 9 10 11 11 10 10 9 10 10 10 9 8 8 8 9 9 10 10 10 9 8 6 5 4 3 3 2 3 6 8 9 10 10 9 9 10 11 12 13 12 10 9 9 10 11 13 15 16 15 14 13 12 13 14 15 16 17 16 15 15 15 15 14 14 14 14 12 10 8 7 6 6 7 9 10 12 13 12 10 9 7 7 7 8 9 10 11 12 13 13 11 9 7 5 6 8 9 11 11 12 12 12 11 11 11 12 11 11 10 9 8 7 5 3 3 3 4 5 6 6 6 7 7 8 9 9 9 9 10 10 10 11 11 12 12 13 13 14 15 17 19 23 26 29 30 30 28 26 25 23 22 21 20 19 17 16 16 15 15 15 16 16 16 15 14 13 13 14 15 16 16 16 16 15 14 13 12 12 12 13 14 14 14 14 15 15 14 nan
nan 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 8 7 5 5 4 4 5 6 8 9 10 10 10 10 11 12 13 13 12 10 9 9 10 11 12 13 14 13 11 10 9 10 10 11 11 11 11 12 13 14 14 14 14 13 12 11 9 7 7 7 8 8 9 10 10 10 9 8 7 6 7 8 9 10 12 13 13 11 8 7 6 6 8 10 11 11 12 12 12 12 11 10 9 9 9 8 7 6 6 6 6 4 3 4 4 5 6 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 13 13 14 14 15 17 20 23 28 31 32 32 30 28 27 25 23 22 20 19 18 17 17 16 16 16 15 15 14 12 11 10 10 11 12 14 15 16 17 17 16 15 14 14 13 13 13 13 13 13 13 13 nan
nan 10 11 11 10 9 9 8 7 8 8 8 8 7 7 8 9 8 8 7 8 9 9 9 9 9 8 9 8 8 7 7 8 8 9 9 9 9 10 12 13 13 12 11 11 10 11 11 11 11 11 9 8 7 8 8 10 10 11 11 12 13 12 12 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 10 8 7 6 7 8 10 10 10 11 12 12 12 11 11 10 9 9 8 8 7 7 7 7 7 5 4 4 5 6 6 6 6 6 6 6 6 6 7 7 8 9 10 10 10 11 11 12 13 14 14 14 15 17 19 24 28 31 32 32 30 29 27 24 23 21 20 19 18 18 18 17 16 15 14 13 12 11 10 10 9 10 11 13 15 17 18 18 17 16 15 14 12 12 12 12 13 13 14 nan
nan 9 9 9 9 9 8 8 8 9 10 10 8 6 6 7 10 11 9 7 4 4 6 7 9 10 10 10 10 10 9 8 7 7 8 8 9 9 10 11 12 13 13 13 13 13 13 13 12 12 11 10 8 8 8 9 11 13 14 13 13 13 13 12 11 11 11 12 11 11 10 10 10 10 10 10 10 9 9 8 9 9 10 11 12 13 13 12 10 7 7 7 7 8 10 10 10 10 11 11 12 11 11 12 12 12 11 11 10 9 9 9 9 7 5 4 5 6 7 7 7 7 6 6 5 4 5 6 6 8 8 9 9 10 10 11 11 12 13 13 13 14 15 16 19 23 26 29 30 30 29 27 25 23 22 20 19 19 18 18 17 16 16 15 14 14 14 14 13 11 10 10 12 14 15 17 17 17 16 15 13 12 11 11 12 12 13 14 nan
nan 8 9 9 9 9 8 7 7 9 11 11 9 6 5 6 9 13 13 11 8 6 6 7 9 10 10 10 10 11 11 10 10 9 10 11 11 11 11 12 12 12 12 13 13 14 14 14 13 13 12 10 9 8 9 10 12 14 15 14 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 13 12 10 8 8 8 8 9 9 9 10 10 11 11 12 12 12 13 14 15 14 14 12 11 10 9 8 6 4 4 6 7 8 8 8 8 7 6 5 4 4 5 6 7 8 9 9 9 10 10 10 11 11 12 13 13 14 14 16 19 22 25 28 29 29 28 26 24 23 21 20 19 18 18 17 17 17 16 16 16 17 18 17 15 12 11 12 13 14 15 16 15 15 14 12 11 11 11 11 12 13 14 nan
nan 9 10 12 12 10 7 5 4 7 10 11 9 6 4 5 8 12 14 14 13 11 10 10 11 11 11 11 11 12 13 13 12 12 13 15 15 15 14 14 12 11 11 11 11 12 13 14 14 13 12 11 9 8 9 9 11 12 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 11 11 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 13 14 15 15 15 14 13 12 10 7 5 4 4 5 6 7 8 8 9 8 8 7 6 5 5 5 6 6 7 8 9 9 9 9 9 9 10 11 12 13 13 14 15 17 20 23 25 28 28 28 27 25 24 22 20 19 18 18 17 17 17 18 18 19 19 19 19 17 16 14 14 14 14 13 13 13 13 12 11 11 11 10 10 11 13 14 nan
nan 10 12 13 14 13 9 4 2 4 8 10 9 7 5 5 8 9 11 12 13 14 13 13 13 13 13 12 12 12 12 12 12 12 14 16 17 18 17 15 13 11 10 9 8 10 11 13 14 14 13 12 10 9 9 9 10 11 12 12 12 13 13 13 13 11 11 10 10 10 10 10 10 10 9 9 9 10 9 9 10 11 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 11 12 12 13 13 13 12 11 10 8 5 4 4 5 5 6 7 8 8 9 8 8 7 7 6 5 5 5 5 6 8 9 9 10 9 9 9 10 11 11 12 13 15 16 17 19 22 25 27 27 27 26 25 24 23 21 20 19 18 18 18 18 18 19 19 19 19 19 19 18 17 16 16 15 13 12 12 12 11 11 10 10 9 10 11 12 14 nan
nan 12 12 13 15 15 12 8 4 3 6 7 8 6 5 6 8 8 9 9 10 12 13 13 14 14 13 13 12 11 10 10 9 10 11 13 15 17 17 15 13 11 10 9 9 10 12 14 15 16 15 14 12 11 10 10 10 11 12 12 13 14 15 15 14 13 11 10 10 10 10 10 10 10 9 9 9 10 10 10 11 12 13 13 12 11 9 9 8 8 7 6 6 5 6 7 8 10 11 12 11 11 11 11 11 11 10 10 9 7 6 4 3 4 5 5 6 7 8 8 8 8 7 7 7 6 6 5 5 6 7 8 9 9 9 9 9 8 9 10 11 12 14 15 16 17 19 22 24 25 25 24 23 23 22 22 22 21 21 20 20 19 19 19 19 19 18 18 18 18 18 18 18 17 16 15 13 12 11 11 10 10 9 9 10 11 12 13 nan
nan 12 11 13 15 17 15 12 8 5 6 7 7 7 6 8 9 10 11 11 11 11 12 12 12 13 13 14 13 12 11 10 8 8 8 9 11 12 14 13 13 12 11 11 11 12 13 14 15 16 15 14 12 11 11 10 11 12 12 12 13 14 15 16 15 14 12 11 11 11 10 10 10 9 9 9 9 10 11 12 13 13 12 12 11 9 8 8 8 8 7 6 5 5 5 6 8 10 11 12 12 12 12 12 12 11 10 9 8 7 5 4 3 4 4 5 6 7 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 9 9 9 9 9 9 10 11 12 13 14 16 17 19 21 23 23 22 21 20 19 19 19 20 21 21 21 20 19 18 18 17 17 17 17 17 18 18 18 18 17 17 16 15 14 13 11 10 10 10 10 11 11 12 13 nan
nan 11 10 11 13 14 15 13 11 8 7 7 7 7 7 8 10 12 14 15 16 15 14 13 12 12 13 14 15 14 13 12 10 9 8 7 7 8 8 9 10 10 10 10 11 11 12 11 11 12 12 12 11 11 11 11 12 13 13 13 12 12 13 14 14 14 13 12 11 11 11 10 10 9 8 8 9 10 10 11 11 11 10 9 9 8 8 8 9 9 9 8 7 6 7 8 9 10 11 11 12 12 13 13 12 11 9 8 7 6 5 3 2 3 4 5 6 7 7 7 7 7 7 6 7 7 7 6 6 6 6 7 8 9 9 10 10 10 10 10 11 11 12 13 14 16 18 21 23 23 22 20 18 16 16 16 18 18 19 19 18 16 15 14 14 14 15 16 17 17 18 18 17 16 16 16 16 16 15 13 12 12 12 12 12 12 12 13 nan
nan 10 9 10 11 11 11 11 11 10 8 7 6 6 7 7 9 11 14 17 19 20 19 17 15 14 13 14 15 15 14 12 11 9 8 7 6 6 5 6 6 7 7 8 8 8 8 7 7 8 8 9 10 10 11 12 13 14 14 13 13 12 12 12 13 13 12 11 11 11 11 11 11 10 9 9 9 9 9 8 7 7 7 8 8 9 9 9 10 11 11 11 10 10 10 10 10 11 11 10 10 11 12 11 11 9 7 6 5 5 4 3 3 3 3 4 5 6 7 7 6 6 6 7 7 7 7 6 6 6 6 7 8 9 9 10 11 11 11 11 11 11 11 12 13 15 17 20 22 22 22 20 17 15 14 15 16 16 17 17 16 14 13 12 11 12 14 15 16 17 17 17 16 16 16 16 17 17 17 15 14 13 13 12 12 12 12 12 nan
nan 8 9 10 10 10 9 10 11 12 12 11 10 8 8 7 6 7 8 12 15 18 19 19 18 16 15 15 14 13 12 11 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 13 14 15 15 14 14 13 13 12 13 12 12 10 9 10 11 12 13 13 12 11 10 9 8 7 6 6 6 8 9 10 11 11 11 12 13 14 14 13 12 11 11 10 9 8 9 9 10 10 9 7 5 4 4 4 4 4 3 3 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 11 13 15 18 21 23 22 21 18 15 13 13 14 15 15 16 15 14 13 12 11 11 13 14 15 16 17 16 16 16 16 16 17 17 16 16 15 14 14 13 12 12 11 11 nan
nan 9 9 9 8 8 8 9 11 14 16 16 15 13 11 9 6 4 4 5 7 10 13 15 16 15 15 14 12 11 10 9 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 12 12 13 14 15 15 15 14 14 13 13 13 12 11 11 9 9 10 12 14 15 15 12 10 8 7 6 6 7 7 8 9 10 10 11 11 12 13 14 14 13 12 11 9 8 7 7 8 9 9 10 9 7 5 5 5 5 5 5 4 4 3 3 4 5 7 8 8 8 7 7 6 6 7 7 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 10 11 14 17 20 23 23 22 18 14 13 12 13 13 15 15 15 15 14 13 12 12 12 14 15 15 16 16 16 16 16 16 17 16 15 15 14 15 14 13 12 11 11 10 nan
nan 10 9 8 6 6 7 8 10 13 16 18 18 17 15 12 9 6 4 4 5 6 7 8 10 11 10 10 9 8 8 8 8 9 10 11 12 12 12 11 11 10 9 9 9 10 10 10 11 11 11 11 12 12 12 13 14 14 15 15 14 14 14 13 13 13 12 12 11 10 11 11 12 14 13 12 9 8 7 7 8 9 10 10 9 8 8 9 10 12 14 15 14 13 12 11 10 9 9 9 10 11 11 11 10 8 7 6 6 6 6 6 6 5 4 4 5 7 8 9 10 9 8 7 6 6 6 6 5 5 5 5 6 6 6 7 8 9 9 9 10 9 9 9 9 10 13 16 19 22 22 21 18 15 14 13 13 13 14 14 14 14 14 13 12 11 12 13 15 16 16 16 16 16 16 16 17 17 16 15 15 15 14 13 12 11 10 10 nan
nan 12 10 9 8 8 8 8 9 11 13 15 18 18 17 15 12 11 9 7 7 6 5 5 5 6 6 7 7 7 7 8 9 10 11 12 13 13 12 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 13 14 14 14 14 14 13 13 13 13 13 13 14 14 13 12 11 10 10 10 9 9 8 7 7 8 9 11 11 11 10 9 9 9 10 12 15 17 17 16 15 14 13 13 13 13 13 14 13 13 11 10 9 8 7 7 7 7 7 6 6 6 6 8 9 11 11 11 10 8 7 6 5 5 4 4 4 5 5 5 6 7 8 8 9 10 10 9 9 8 9 10 13 16 18 21 22 21 19 18 16 15 14 13 12 12 12 12 12 12 11 11 12 13 15 16 17 17 16 16 16 17 18 18 17 16 15 15 13 12 11 10 10 10 nan
nan 11 10 9 9 9 9 8 8 9 10 11 13 16 15 15 13 13 12 11 10 9 7 6 5 5 6 6 7 8 8 9 9 10 11 12 12 12 11 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 14 14 14 13 12 12 11 12 12 13 14 14 15 14 13 11 10 9 8 7 6 6 5 6 7 9 10 11 11 11 12 12 12 12 13 15 17 18 19 19 18 17 17 16 16 15 15 14 13 12 11 10 9 8 8 8 8 7 7 7 7 8 9 10 11 12 12 11 9 8 7 6 5 4 4 5 5 5 5 6 6 7 8 8 10 10 9 8 8 9 11 13 16 18 20 21 21 20 18 17 15 14 12 11 11 11 11 11 11 11 11 12 13 14 15 16 16 16 16 16 17 18 18 17 16 16 15 13 12 11 11 10 10 nan
nan 10 8 8 8 9 9 8 7 7 8 8 9 10 12 12 12 12 12 12 11 11 9 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 12 11 10 8 7 8 9 11 13 14 15 15 13 12 11 9 8 8 7 6 6 6 6 7 9 10 11 11 12 13 13 12 12 12 13 15 17 18 19 18 17 16 15 14 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 9 10 10 11 11 11 11 10 9 8 7 6 5 5 5 5 5 5 6 6 7 7 8 9 9 9 9 9 10 12 13 16 18 20 22 21 20 18 16 15 14 13 12 12 12 12 12 12 13 13 13 14 14 14 14 15 16 16 16 17 17 17 17 17 16 15 14 13 12 11 10 10 nan
nan 11 9 8 8 9 10 9 8 8 8 8 8 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 9 8 7 6 6 8 10 12 14 14 14 13 12 11 9 10 11 11 11 10 8 7 7 7 9 9 10 10 10 10 10 9 9 9 11 13 14 15 15 14 13 13 12 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 5 5 5 6 6 6 7 7 8 9 9 9 9 9 10 12 14 16 19 20 21 21 19 18 16 15 14 13 13 13 14 14 15 15 16 16 16 15 14 14 13 13 14 15 16 17 17 18 18 18 17 16 15 14 13 12 12 11 nan
nan 14 13 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 14 14 14 13 13 12 12 12 12 12 12 12 13 13 13 12 12 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 11 12 12 12 13 14 15 14 13 12 11 10 9 10 12 13 15 14 12 9 7 7 7 8 8 8 8 8 8 8 8 9 10 11 12 12 11 10 10 10 9 9 9 10 10 10 11 11 12 12 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 8 7 6 5 5 5 6 6 7 7 8 8 9 9 9 10 11 13 15 17 19 20 21 20 19 17 16 15 14 14 14 15 16 16 17 17 17 16 16 15 14 13 12 12 12 14 15 17 18 18 19 18 18 18 17 16 15 14 13 12 nan
nan 13 14 14 13 13 12 11 10 10 10 10 11 11 11 11 11 12 12 13 13 14 15 16 16 16 15 15 14 13 12 12 13 13 13 14 14 14 14 14 13 11 10 9 9 9 9 10 11 11 11 10 10 10 9 9 9 10 11 14 16 18 19 18 17 15 15 14 12 11 10 9 10 10 11 12 14 14 13 10 8 6 6 6 7 7 7 8 8 8 9 10 10 10 11 10 9 9 9 8 9 9 10 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 11 10 10 9 10 10 10 10 10 9 8 7 5 4 5 5 6 7 7 8 8 9 9 9 10 11 12 14 16 19 20 20 20 18 17 16 15 14 15 15 15 16 17 17 17 17 16 14 13 12 11 11 11 11 12 14 16 17 18 18 18 19 19 18 17 16 16 15 14 nan
nan 12 14 15 15 14 12 11 9 9 9 10 10 11 11 12 12 13 14 14 15 15 15 16 16 16 15 15 13 13 12 12 13 14 14 15 15 15 14 13 12 11 9 8 8 9 10 12 13 12 12 12 10 10 9 9 9 10 13 15 18 20 19 18 16 13 11 11 10 10 9 9 9 9 9 10 11 12 11 10 8 6 6 6 7 7 8 8 9 9 10 10 11 11 10 10 10 10 10 10 11 11 13 13 14 13 12 11 10 10 11 11 12 13 13 13 13 12 12 11 10 9 9 9 10 10 11 11 10 8 7 5 4 5 5 6 6 7 8 8 9 9 10 10 10 12 14 16 18 20 20 20 19 17 16 15 14 14 15 15 16 17 17 16 16 14 13 11 10 10 10 10 10 11 13 15 16 17 17 17 17 17 17 16 16 17 17 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 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 2 8 14 19 23 29 39 51 57 60 66 83 124 178 229 263 255 188 137 102 82 78 79 73 70 64 56 52 61 83 105 116 110 110 103 97 93 81 89 104 121 151 200 193 188 168 129 83 41 19 25 58 91 78 74 73 70 59 38 7 0 0 0 0 0 9 17 18 13 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
2 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 2 2 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 1 3 5 9 15 21 28 39 56 63 71 82 98 132 168 175 187 216 225 260 229 169 115 89 71 75 70 62 61 72 111 156 185 187 199 222 230 224 208 199 199 199 212 222 184 168 155 136 105 63 20 7 13 34 50 48 65 78 78 64 42 7 0 0 4 19 55 71 53 27 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
1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 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 3 7 10 13 13 14 17 27 44 60 69 74 81 104 139 140 129 128 143 182 182 151 107 74 67 106 122 113 102 113 146 191 228 230 206 273 283 264 234 203 179 159 135 121 129 135 140 141 125 90 39 9 8 15 20 20 43 71 88 91 77 7 0 8 34 74 117 113 56 17 7 1 0 0 0 1 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
1 1 1 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 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 2 6 14 25 32 27 21 20 25 35 42 48 55 72 105 144 125 101 83 77 87 89 81 75 89 141 179 174 144 132 156 194 222 237 217 218 221 201 167 128 99 90 77 76 85 91 105 128 135 114 67 20 12 10 8 8 17 35 48 47 31 3 0 13 191 360 360 130 29 1 1 0 0 1 5 8 9 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
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