Vorticity
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nan 2 0 -0 0 2 4 6 8 9 9 9 10 11 14 17 20 24 28 29 27 23 17 8 2 -2 -4 -4 -3 -2 -1 0 1 2 3 5 6 8 9 9 10 10 9 10 11 12 12 12 11 11 10 10 10 11 11 11 9 8 7 7 8 8 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 13 14 15 15 14 14 14 14 15 14 13 12 11 12 12 12 13 12 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 9 9 9 10 9 9 9 10 12 13 15 17 19 19 19 19 18 17 15 14 14 14 14 15 16 16 15 13 12 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 13 13 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 nan
nan 0 1 3 4 5 7 8 9 10 11 11 13 14 16 20 23 25 24 20 16 9 2 -4 -8 -7 -5 -3 -0 2 3 3 3 3 3 4 5 7 8 9 9 9 8 8 9 9 10 10 10 10 10 10 10 11 10 10 9 9 8 8 10 10 10 10 9 9 10 10 10 10 10 11 12 12 12 12 12 12 13 14 14 14 14 14 15 15 15 13 12 11 11 11 11 12 12 12 11 11 10 11 12 13 13 13 12 12 12 12 13 13 14 13 12 12 12 12 12 12 12 10 10 10 12 14 17 19 21 22 21 21 19 18 16 14 13 13 13 14 15 15 14 13 11 10 10 10 11 11 11 11 10 10 9 8 7 7 7 8 8 9 9 10 11 13 13 13 13 13 12 13 13 13 12 13 13 13 13 13 12 12 12 13 13 14 14 14 14 14 nan
nan 2 5 7 8 8 8 9 10 11 13 14 16 18 19 22 23 20 15 8 3 -1 -4 -6 -5 -3 -1 2 4 5 6 6 5 5 5 6 7 8 10 10 10 9 7 6 6 7 7 8 9 9 10 11 11 11 10 10 9 9 9 10 11 12 12 11 10 9 9 9 9 10 10 11 11 12 11 11 11 11 12 12 13 13 13 13 14 15 14 12 10 10 10 10 12 14 15 15 14 13 12 13 14 15 14 14 13 12 12 12 12 13 14 14 14 15 15 14 14 12 10 8 8 10 12 16 19 21 22 22 21 20 19 16 15 14 13 13 14 14 15 16 15 14 13 12 11 11 10 10 10 10 10 11 10 9 8 7 7 7 8 8 10 11 12 13 14 13 13 13 14 14 13 13 13 13 13 13 12 12 12 12 12 12 13 14 15 15 15 14 nan
nan 4 7 8 8 8 9 10 11 12 14 16 19 22 23 23 20 13 6 1 -1 -1 -0 1 2 3 4 6 6 7 7 7 6 6 7 8 10 10 11 11 10 9 7 6 5 6 6 7 8 9 10 11 11 11 10 9 8 8 9 10 11 14 14 13 12 10 9 8 8 9 10 10 11 11 10 10 10 9 10 10 11 11 11 11 12 13 12 10 8 8 9 11 14 16 17 16 15 14 14 14 15 15 15 15 14 13 11 11 11 12 12 14 15 15 15 13 11 9 7 6 7 10 13 16 19 20 21 20 19 18 17 16 15 14 14 14 15 15 16 16 17 16 16 15 14 13 11 10 10 9 11 12 12 11 10 9 9 8 8 8 9 10 11 11 11 12 12 12 13 13 13 13 12 12 12 12 11 11 11 12 12 12 12 13 13 14 13 13 nan
nan 6 7 7 8 8 9 10 12 13 15 18 20 22 23 20 14 5 -0 -2 -1 2 5 6 7 7 8 8 8 8 8 7 7 7 8 10 11 12 11 11 9 8 7 7 7 7 7 7 7 8 9 10 11 11 10 8 7 7 7 8 11 14 15 15 13 10 8 6 6 6 7 8 9 10 10 10 9 9 8 9 10 10 10 10 10 10 10 9 8 8 9 11 14 16 15 14 14 13 14 15 15 15 14 14 13 12 11 10 10 10 11 13 14 14 12 11 8 7 6 7 9 11 13 15 17 18 18 18 17 17 16 16 16 16 15 15 15 15 16 17 18 18 18 18 17 16 15 14 13 13 14 15 15 15 14 14 13 11 10 9 9 9 9 9 8 8 9 9 9 10 11 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 10 10 nan
nan 7 8 8 7 8 10 11 12 13 15 18 18 18 16 12 5 -1 -3 -1 0 3 6 7 8 9 10 10 10 10 9 8 8 8 9 11 12 12 10 9 8 7 8 9 9 9 9 9 9 9 10 11 12 12 11 9 7 6 5 6 8 11 13 13 12 10 6 4 2 3 4 5 7 8 10 10 11 10 10 9 9 9 9 10 10 11 11 10 9 9 9 11 13 14 13 12 11 11 12 13 13 13 12 12 11 10 10 10 9 10 10 11 11 10 9 8 7 7 8 10 11 12 12 13 14 14 15 15 15 15 16 16 16 16 16 15 14 14 15 16 18 19 20 21 21 20 20 19 19 19 19 20 20 20 19 18 17 15 14 12 11 10 9 8 8 7 7 6 6 7 8 10 11 12 12 11 11 11 12 12 12 12 12 12 11 10 9 9 nan
nan 8 8 9 9 9 10 12 12 13 13 14 14 12 9 5 0 -1 1 2 4 5 6 6 8 9 10 10 11 11 10 10 9 10 10 11 11 11 9 8 7 8 10 11 13 13 13 12 11 11 11 12 13 13 12 11 9 7 5 5 6 8 10 12 12 11 7 4 2 2 3 4 5 8 10 11 12 12 12 10 9 9 9 10 12 13 13 11 10 9 9 11 12 13 12 11 10 10 10 11 12 12 11 10 10 9 9 9 9 9 9 8 8 7 6 6 6 8 9 11 12 12 13 13 13 13 13 13 13 14 14 15 15 15 15 14 14 13 14 14 16 17 19 20 21 22 22 22 22 22 22 23 23 23 23 22 21 19 17 16 14 13 12 11 10 9 8 7 7 7 8 10 11 12 12 11 11 11 12 12 12 12 12 12 11 10 9 10 nan
nan 9 10 11 11 12 13 13 12 12 11 10 10 9 7 5 4 5 6 6 7 7 7 7 7 7 8 9 9 10 9 9 10 11 12 12 12 11 9 8 7 8 10 13 15 17 17 15 13 12 11 11 12 13 13 13 11 9 7 6 5 6 8 11 13 13 11 8 7 6 6 6 7 8 9 11 12 12 12 10 9 8 9 10 12 14 14 12 10 8 8 10 12 12 12 11 10 10 9 10 11 11 11 11 11 10 10 10 9 9 9 7 6 5 5 5 6 7 9 10 11 12 13 14 14 14 13 13 13 13 13 14 14 13 13 13 13 12 12 12 13 14 16 17 19 20 20 21 21 22 23 23 24 24 24 24 23 21 20 18 17 16 15 14 13 12 11 10 10 10 11 12 12 12 12 11 12 12 13 13 12 12 11 11 10 10 9 11 nan
nan 12 13 14 15 15 15 14 13 11 10 9 9 10 9 8 8 8 9 9 9 9 9 9 8 7 7 7 8 9 9 9 10 12 12 13 12 11 10 8 7 8 10 13 16 18 19 18 15 12 10 10 11 12 13 13 13 11 10 8 6 7 8 10 13 15 15 13 12 10 9 8 7 8 9 10 11 12 11 9 8 8 9 10 13 13 14 12 11 9 8 10 11 11 11 11 10 10 9 10 10 10 11 12 12 12 12 11 10 9 8 7 6 6 6 5 6 6 7 8 10 11 13 15 15 15 14 13 13 13 12 12 12 13 13 13 12 11 11 10 10 11 12 13 14 16 17 18 19 20 21 23 24 25 25 25 24 22 21 20 19 18 17 16 15 14 13 13 13 13 13 13 12 12 12 12 12 13 13 12 12 11 11 11 11 11 12 13 nan
nan 17 18 18 18 17 16 14 12 10 9 9 9 9 9 9 8 9 9 9 10 10 11 11 10 9 8 9 9 10 10 10 10 11 11 11 10 10 9 8 7 8 10 12 15 17 18 17 14 12 10 9 10 12 14 15 15 14 13 10 9 8 8 10 12 16 17 16 14 13 11 8 7 7 8 9 11 12 10 9 9 9 10 12 13 13 12 11 10 9 9 10 11 11 11 11 10 10 9 9 9 9 10 11 12 13 13 13 12 10 9 8 7 7 7 6 6 6 6 7 8 10 12 14 15 14 14 13 12 11 11 11 11 11 12 12 12 11 10 10 9 9 9 10 11 12 13 14 16 17 19 20 22 24 26 25 24 23 23 22 21 20 19 18 17 16 16 15 15 14 13 13 13 13 12 12 12 12 12 11 11 11 12 12 12 13 14 15 nan
nan 20 19 18 17 16 13 12 11 10 9 9 8 8 8 8 8 8 9 8 8 9 9 10 10 10 10 10 11 12 12 11 10 9 8 7 8 8 8 8 8 8 9 11 13 15 16 16 13 12 10 10 11 13 15 17 18 18 16 14 11 10 9 10 12 15 16 16 14 12 9 7 6 6 8 10 12 13 11 10 9 10 11 12 12 10 8 8 8 9 11 12 13 13 12 11 9 8 7 7 7 7 8 10 12 13 13 13 13 12 11 10 10 9 8 7 6 5 5 6 7 9 11 13 14 14 13 11 10 9 8 9 9 9 10 10 10 10 10 9 9 8 8 8 9 10 11 12 13 15 16 17 19 22 24 25 25 25 24 23 22 21 20 19 19 18 17 17 16 15 14 13 13 12 12 11 11 11 11 11 12 13 14 14 14 14 15 15 nan
nan 15 15 14 13 12 11 10 9 9 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 7 7 8 9 10 11 10 9 8 7 7 8 9 10 10 10 9 9 9 10 12 13 14 14 13 12 11 11 13 15 17 18 19 18 15 13 11 10 10 12 14 15 13 12 9 7 5 5 6 7 9 11 12 11 10 9 9 9 10 9 8 8 8 9 11 14 15 16 15 12 10 7 5 5 6 7 8 9 10 11 11 12 12 13 13 12 12 11 10 9 8 6 6 6 6 7 8 10 12 13 13 12 10 8 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 12 13 14 15 17 19 21 23 24 25 25 25 24 23 22 21 20 18 18 18 17 16 15 14 13 12 12 11 11 11 11 13 14 15 15 15 15 15 15 14 nan
nan 8 9 11 11 10 9 8 8 8 7 7 8 8 8 8 8 9 9 9 9 7 5 4 4 4 4 5 6 8 9 9 9 8 8 9 9 10 11 12 12 11 10 10 9 10 11 13 13 13 12 11 11 11 12 14 14 15 14 13 12 12 13 13 14 14 14 13 10 8 6 4 5 5 7 8 10 10 10 9 8 8 8 8 8 8 9 11 12 14 16 17 16 14 11 8 5 5 5 7 9 10 11 9 9 9 10 10 11 10 10 10 10 10 9 7 7 7 7 7 8 9 10 11 12 12 11 10 7 6 6 6 7 8 8 9 9 8 8 7 7 6 6 6 7 8 9 10 11 11 12 13 15 17 19 21 23 25 27 28 28 27 25 23 21 19 18 17 17 16 15 14 14 13 13 13 12 12 13 14 15 15 16 16 15 15 14 14 nan
nan 6 7 9 9 9 9 8 7 7 7 7 8 8 8 9 8 8 9 9 10 9 8 7 6 5 4 5 5 6 8 8 9 9 9 9 9 10 11 13 13 13 12 10 10 9 10 11 12 12 11 9 8 9 10 11 12 12 11 11 12 13 15 16 16 16 15 13 11 9 7 6 6 7 7 8 9 9 9 9 9 9 9 9 10 10 11 12 13 15 16 15 14 12 9 6 5 6 7 9 11 11 11 9 8 8 8 9 9 8 7 7 7 8 7 7 7 7 8 8 8 9 10 11 12 12 11 9 8 7 6 6 6 8 9 9 9 9 9 8 7 6 6 5 5 6 7 8 9 9 10 11 13 15 17 19 22 24 28 30 31 30 28 26 23 21 18 16 15 14 15 15 15 15 15 15 15 15 15 15 15 15 15 16 15 15 15 15 nan
nan 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 9 8 7 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 12 13 13 13 12 11 11 12 12 11 10 9 8 7 7 9 12 13 14 14 13 13 14 14 14 15 15 15 14 12 10 8 7 8 9 9 9 10 9 9 10 11 11 12 12 12 12 12 12 12 13 14 13 12 11 9 7 7 8 9 11 12 12 11 11 9 9 9 9 8 6 5 5 6 7 8 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 7 7 7 8 9 10 10 10 10 9 8 7 6 6 5 5 5 6 6 7 7 9 11 13 15 17 20 23 27 30 31 31 30 28 26 23 21 18 16 14 15 15 15 16 16 16 17 17 17 17 16 15 15 15 15 15 16 16 nan
nan 7 7 6 7 7 7 7 7 8 9 9 8 7 7 8 10 10 8 6 5 5 7 8 9 10 10 10 10 9 9 8 8 8 9 9 10 10 11 12 13 13 13 13 14 14 15 14 13 12 10 9 7 8 9 11 14 16 16 15 14 13 12 11 11 13 14 13 12 9 7 7 8 9 10 10 10 10 9 9 10 10 11 12 13 13 13 12 12 12 13 13 12 12 11 9 9 9 9 10 11 12 12 12 12 12 11 10 8 6 6 7 8 10 10 10 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 9 10 10 11 11 10 9 9 8 7 6 6 5 5 5 5 6 8 9 11 12 14 17 20 24 27 29 29 29 28 27 25 23 21 18 16 15 14 14 15 16 17 18 18 17 16 15 15 14 14 14 14 15 16 nan
nan 7 7 7 7 7 6 6 6 7 9 10 9 7 6 7 10 12 12 11 9 7 8 8 9 10 10 9 9 10 10 10 9 9 10 11 12 12 13 13 14 14 13 14 15 16 17 17 16 14 12 10 9 9 9 10 12 14 14 14 13 12 11 11 11 12 13 12 11 8 7 7 7 8 9 10 10 9 9 9 9 10 11 12 13 13 13 13 13 14 14 14 13 13 12 11 10 9 9 9 10 12 13 14 15 15 14 12 9 9 10 11 14 15 15 14 13 11 9 8 8 8 8 9 9 10 9 9 9 9 9 9 8 8 8 9 9 10 10 11 10 10 9 8 7 6 5 5 5 5 5 7 8 9 10 12 15 18 21 23 25 26 26 27 26 26 25 23 21 19 16 15 14 14 16 17 17 17 16 15 14 13 13 13 13 14 15 16 nan
nan 8 8 9 9 7 5 3 3 5 8 9 8 7 6 7 10 12 13 14 13 12 11 11 11 11 10 9 9 10 11 11 10 11 12 13 15 16 16 16 15 14 13 13 13 15 16 16 16 15 13 11 10 9 9 9 10 11 12 12 12 12 12 12 13 13 13 12 10 9 8 8 9 9 10 10 9 9 9 10 11 12 13 13 12 12 11 12 13 14 14 13 13 12 11 10 10 10 9 10 11 13 14 15 16 16 16 14 12 13 14 17 20 20 19 17 15 12 11 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 11 11 10 10 9 8 7 6 6 6 5 6 6 7 8 9 10 12 15 17 19 21 23 24 24 25 25 25 24 23 21 19 18 17 17 18 18 18 17 15 14 13 12 12 12 12 13 15 16 nan
nan 8 9 10 11 10 6 3 1 3 6 8 8 7 6 7 9 10 11 12 12 13 13 14 13 13 12 10 9 9 9 10 10 10 12 14 16 17 18 17 16 14 13 12 12 12 14 15 15 14 13 11 9 8 8 9 9 10 11 11 12 13 13 14 14 13 11 10 9 9 9 10 11 11 10 9 9 9 10 11 12 13 13 11 10 9 10 11 12 12 12 11 10 9 8 8 9 10 11 12 13 14 15 15 15 15 14 14 15 17 20 22 24 22 20 17 15 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 6 7 8 10 10 10 10 9 9 8 7 6 6 6 6 7 7 7 8 8 10 12 14 16 18 20 22 23 24 24 24 24 23 22 21 21 20 20 21 20 19 18 17 15 14 13 13 12 12 13 15 16 nan
nan 8 9 11 13 14 11 7 3 3 5 7 7 7 6 7 9 10 10 9 10 11 12 13 13 13 13 11 10 10 9 9 9 10 11 13 14 16 17 16 15 13 12 11 11 11 12 13 13 12 11 10 9 8 8 9 9 10 11 11 11 12 13 14 13 12 10 9 8 8 10 11 12 11 9 8 8 9 11 12 13 12 10 8 7 7 8 9 11 11 10 9 8 7 7 8 9 10 12 13 14 14 13 12 11 11 11 14 17 20 24 26 25 23 20 18 16 15 14 13 12 11 11 10 10 10 9 9 9 9 9 9 8 7 7 6 6 6 7 9 10 10 11 10 9 9 7 7 7 6 7 7 7 8 8 8 9 10 11 12 14 18 21 22 23 23 23 22 21 20 20 20 20 20 21 21 21 20 19 17 16 15 15 14 14 15 16 17 nan
nan 8 8 10 14 16 15 12 9 6 6 7 7 7 6 8 10 11 11 11 10 10 11 11 11 12 13 13 13 12 12 11 11 11 11 12 12 13 14 13 13 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 12 12 12 11 10 10 10 11 12 12 11 10 8 7 7 9 11 13 13 11 8 6 5 5 6 8 10 10 10 10 10 9 10 11 12 13 14 15 14 13 12 10 8 8 8 12 16 19 22 24 23 22 21 19 18 17 15 15 14 13 12 11 11 10 10 10 10 9 9 9 8 8 7 7 7 7 7 8 9 10 11 11 10 9 8 7 7 7 7 8 8 8 9 9 9 9 9 10 12 16 19 20 21 21 21 20 19 19 19 19 19 18 19 20 22 22 22 21 19 18 17 17 17 17 18 18 nan
nan 8 8 9 12 14 15 14 12 9 8 7 7 7 7 8 11 13 14 15 15 13 13 12 12 12 14 15 16 16 16 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 13 12 11 9 8 8 9 11 12 12 10 7 6 5 6 8 9 10 11 12 12 12 13 13 14 15 16 16 16 15 13 10 8 6 4 5 7 10 12 13 14 15 16 17 18 18 17 16 15 15 14 13 13 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 14 16 18 19 20 20 19 18 18 18 18 18 17 17 18 20 22 23 23 22 20 20 19 19 20 19 19 nan
nan 9 9 9 10 11 12 12 12 11 9 8 7 6 7 8 11 13 16 18 19 18 17 16 15 15 16 17 18 19 18 17 15 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 10 11 12 13 13 13 12 11 10 9 9 9 9 9 9 7 7 8 9 11 12 12 13 13 13 12 14 14 14 15 16 15 14 13 11 9 6 4 2 2 3 4 5 5 6 7 8 9 11 12 13 13 14 14 14 14 14 13 13 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 11 13 15 17 18 18 17 17 17 17 17 17 17 16 16 17 18 20 21 21 21 21 21 21 21 20 20 nan
nan 10 11 11 11 10 10 10 11 12 12 10 9 7 7 8 9 11 13 15 17 18 19 18 18 17 17 17 17 17 16 14 11 9 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 9 10 11 12 13 13 13 12 12 11 12 12 12 12 10 9 8 9 10 11 12 13 13 11 10 8 6 5 5 6 7 8 10 12 14 15 14 13 13 12 12 13 13 13 13 14 13 12 11 9 8 5 3 1 1 1 1 2 3 3 4 5 5 6 7 8 9 9 11 12 13 13 14 13 13 13 12 12 11 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 9 9 10 12 13 15 16 16 16 16 16 16 16 17 17 16 15 15 15 17 18 19 20 20 20 20 19 18 nan
nan 12 13 12 10 9 9 10 11 14 15 14 13 10 8 7 6 6 7 8 11 13 15 16 16 16 15 14 13 11 10 9 7 7 7 8 9 10 11 12 12 12 11 11 10 9 9 8 8 8 8 8 9 10 11 12 13 14 13 12 11 11 12 12 12 12 11 10 9 9 9 11 12 13 13 12 10 8 5 3 3 4 7 9 11 13 14 15 14 14 13 14 14 14 14 14 13 12 11 10 9 8 6 5 3 1 1 2 2 3 4 4 5 5 5 5 5 5 5 6 7 9 10 11 13 13 14 14 13 12 12 11 11 10 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 11 12 14 15 16 16 16 16 17 17 17 17 16 14 13 13 14 16 17 18 18 17 17 16 nan
nan 15 14 12 10 10 10 12 14 16 17 17 17 15 11 8 5 3 2 3 5 7 9 11 12 12 11 9 8 7 6 6 6 6 7 8 10 12 13 13 13 12 12 11 11 10 11 11 10 10 9 9 9 10 10 11 12 13 12 11 10 10 10 11 11 11 12 12 13 12 12 13 13 15 14 12 10 8 6 6 7 9 11 12 12 12 12 12 12 13 14 16 16 16 16 15 13 11 9 8 7 7 5 4 3 2 2 3 3 4 5 5 5 5 5 5 5 4 4 5 6 6 8 9 10 11 12 13 13 14 13 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 8 8 9 10 10 10 9 9 9 8 8 8 8 9 11 13 15 16 17 17 17 17 17 17 17 16 14 13 12 12 14 15 16 16 16 16 15 nan
nan 16 15 13 11 10 11 13 15 18 20 21 21 19 15 12 9 6 4 3 4 5 7 7 8 8 8 7 6 6 5 6 6 7 9 10 11 12 13 13 12 12 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 10 9 9 9 10 10 10 12 14 16 16 15 14 14 14 13 12 10 9 9 9 10 12 13 13 12 11 10 10 10 12 14 16 18 18 16 14 11 9 8 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 8 9 10 11 12 13 13 13 13 12 12 11 11 10 10 10 11 10 10 9 9 9 8 7 7 7 7 7 8 9 9 10 10 10 10 9 8 8 8 8 9 11 12 15 17 18 19 18 17 17 17 16 15 14 13 12 12 13 14 15 15 15 15 15 nan
nan 13 12 11 10 9 9 10 12 14 18 20 21 21 17 14 11 10 8 7 6 6 7 7 7 7 7 7 6 6 6 6 7 8 9 10 11 12 12 12 11 10 10 10 10 11 12 12 12 12 12 11 10 9 9 9 10 10 10 9 9 9 9 9 10 11 13 15 16 16 15 14 13 12 12 12 11 10 10 10 10 10 9 9 9 9 10 9 10 11 13 15 16 16 14 12 9 7 7 6 6 6 6 6 6 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 8 9 10 11 12 12 13 12 12 11 10 10 10 10 11 10 10 10 9 9 8 8 7 8 7 7 7 8 8 9 10 11 10 9 8 8 8 8 9 10 12 15 18 20 21 19 17 16 16 15 14 13 13 12 12 13 14 14 15 15 15 15 nan
nan 8 8 8 8 8 8 7 7 8 11 14 15 16 14 12 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 11 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 9 9 9 8 8 7 7 9 10 12 14 15 15 14 13 13 12 11 11 11 12 12 12 11 10 9 8 8 7 8 8 9 10 10 10 11 13 13 12 11 9 8 7 7 8 8 9 9 9 9 10 10 10 9 8 7 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 6 7 8 9 10 10 11 11 11 11 10 10 9 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 8 8 9 10 10 10 9 8 8 8 9 11 13 15 18 21 21 20 18 16 15 15 14 14 13 13 12 13 13 14 14 15 15 14 nan
nan 8 8 8 9 10 10 9 7 7 8 9 10 9 9 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 14 14 13 12 11 10 9 9 8 8 8 8 9 9 8 8 8 8 7 8 8 8 7 7 8 10 12 14 16 16 15 13 12 12 12 11 11 12 12 12 12 12 11 10 9 8 8 9 8 8 9 9 10 11 12 12 11 10 9 8 8 9 9 10 10 9 9 10 10 11 11 11 11 10 9 8 7 6 5 4 4 4 3 3 2 2 2 2 3 4 5 6 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 10 11 12 14 17 19 20 20 19 17 16 15 15 14 14 13 13 13 13 14 14 14 14 14 nan
nan 12 12 12 13 14 14 14 12 11 10 9 9 8 8 7 7 8 8 8 9 10 11 12 12 13 13 12 12 11 11 11 11 12 13 14 16 17 17 17 15 13 11 10 9 8 8 9 9 10 10 9 9 8 7 6 6 7 8 10 11 14 15 16 16 16 16 15 15 14 14 14 13 12 12 12 12 11 10 10 9 9 9 8 9 9 8 9 9 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 9 8 7 6 5 4 3 3 2 2 2 2 2 4 4 5 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 10 9 9 8 7 7 8 7 7 7 6 6 7 8 9 9 9 9 10 10 11 12 13 14 16 18 19 19 19 17 16 15 15 14 13 12 12 13 13 14 14 14 14 nan
nan 15 16 16 16 16 16 15 15 14 14 13 12 11 11 11 11 10 10 10 10 11 12 13 14 14 14 14 13 13 12 12 13 13 15 16 17 18 19 19 17 15 12 10 9 9 9 10 11 12 12 11 10 9 8 7 7 8 10 12 14 16 17 17 16 15 16 16 16 16 15 15 14 12 12 11 11 11 9 8 8 8 8 8 8 8 8 8 9 10 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 8 7 6 5 4 3 3 2 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 10 10 11 10 10 9 8 7 7 7 7 7 7 6 6 6 7 7 8 9 10 10 11 11 11 11 12 13 15 17 19 19 17 16 15 15 14 14 13 13 12 13 13 14 13 13 nan
nan 15 17 17 17 16 16 15 14 13 13 14 14 13 13 13 12 12 11 11 11 11 12 13 14 15 15 15 14 13 13 12 14 15 16 17 17 18 18 17 16 14 12 10 9 10 10 11 12 12 12 11 10 10 9 10 11 12 13 14 15 15 15 14 14 13 14 15 15 16 15 14 13 12 12 12 12 12 11 10 9 8 9 9 9 9 9 8 9 10 11 12 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 11 10 9 8 8 7 6 6 5 4 4 4 4 4 4 5 5 5 5 6 6 7 7 8 9 10 10 11 11 10 10 9 8 7 7 7 7 7 7 6 6 6 6 7 8 9 9 10 10 10 10 10 10 12 13 16 17 16 15 15 15 15 15 14 13 13 13 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
9 10 11 11 9 6 4 2 2 2 2 3 3 2 3 4 6 6 5 8 8 5 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 1 7 17 32 45 47 38 24 13 10 8 5 3 2 7 4 1 0 0 1 7 19 33 40 42 28 16 13 25 47 52 27 4 0 1 13 29 36 31 16 3 0 0 0 0 3 8 13 13 10 5 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
9 10 12 11 9 7 3 2 2 2 2 3 3 2 2 3 4 4 6 7 8 7 4 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 2 10 27 47 58 58 43 20 15 24 28 21 8 4 2 0 0 0 2 4 8 17 27 34 20 9 6 13 32 51 35 13 2 2 8 24 37 40 33 19 3 0 1 7 24 37 43 48 52 52 35 17 8 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
9 10 12 12 10 7 3 1 1 1 1 2 1 1 2 2 3 3 5 6 7 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 29 54 64 56 37 25 37 58 60 37 10 11 5 3 4 4 4 5 14 21 20 8 3 2 9 25 47 46 25 10 6 8 23 41 49 45 29 3 0 14 38 62 68 54 56 72 88 82 67 47 30 16 6 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
10 10 11 12 11 8 4 2 1 1 1 2 2 1 1 2 2 2 3 4 5 6 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 1 5 17 46 58 57 49 45 51 65 74 62 27 11 9 8 7 8 9 17 29 34 27 11 3 1 7 20 39 54 35 21 14 13 24 41 50 42 22 2 0 37 78 99 86 45 45 64 69 55 50 44 39 32 20 6 5 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
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