Vorticity
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nan 15 20 23 27 29 28 25 21 18 16 15 15 15 15 15 14 15 17 20 24 27 29 29 28 25 22 18 14 10 7 5 4 4 4 6 7 8 9 9 10 11 11 11 10 10 10 10 9 10 9 10 12 13 14 14 13 10 9 8 10 12 12 11 10 10 10 10 8 6 6 6 8 9 10 10 11 12 12 13 13 12 10 8 6 6 7 9 11 10 9 9 9 10 12 13 15 16 17 20 20 18 15 12 8 5 4 3 2 2 3 5 8 11 12 14 15 17 18 17 16 14 13 12 12 11 11 11 11 11 12 13 14 15 16 18 20 22 25 26 22 15 7 0 -4 -6 -4 -2 1 4 7 9 9 9 10 10 10 11 11 11 11 11 11 10 10 11 10 9 9 7 7 6 7 7 8 8 8 8 7 7 8 9 11 12 13 13 13 13 nan
nan 20 24 25 26 24 22 19 17 15 14 14 15 16 16 17 18 21 23 25 26 25 22 17 13 11 9 7 6 5 5 5 5 6 7 7 8 8 8 8 9 10 11 11 11 10 9 8 8 8 8 10 12 14 16 16 14 11 9 9 9 11 11 10 9 10 11 12 11 9 7 7 8 9 10 11 11 11 12 12 12 12 11 10 8 8 10 11 11 8 6 5 6 11 16 18 20 20 19 19 18 16 13 11 9 7 6 5 5 5 6 7 10 13 15 17 18 19 20 19 17 15 14 13 12 12 11 11 11 11 12 12 13 15 17 19 21 23 23 21 15 8 1 -5 -9 -10 -9 -7 -3 -0 2 5 6 7 7 8 8 9 10 10 11 11 11 12 12 11 11 9 8 7 7 7 7 8 9 9 10 10 9 9 10 10 11 13 14 15 15 14 nan
nan 23 22 20 18 16 15 15 14 14 13 14 16 18 20 22 24 25 25 22 18 14 9 5 2 2 3 3 4 5 5 6 6 7 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 9 9 10 12 14 14 12 10 9 9 11 12 12 10 9 10 11 13 12 10 9 8 9 9 10 10 10 10 10 10 11 11 11 11 10 10 12 12 10 8 6 5 7 11 17 20 21 21 18 15 13 11 10 9 8 8 7 7 7 8 8 9 10 12 13 14 15 17 18 19 18 17 15 13 13 12 12 11 11 11 10 11 12 15 17 19 19 19 16 12 7 2 -2 -6 -8 -9 -8 -5 -3 0 3 4 4 4 5 5 6 7 9 10 11 11 12 13 14 13 12 11 10 9 9 9 9 10 10 11 11 11 11 11 11 12 13 14 16 16 16 15 nan
nan 21 18 15 13 12 12 12 12 12 13 13 16 20 24 28 29 26 20 13 7 3 1 1 1 2 3 4 6 7 7 7 7 7 8 9 9 9 8 8 8 9 10 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 13 14 13 12 10 10 10 11 10 10 9 9 9 10 10 9 9 8 7 8 9 10 11 11 11 11 12 12 10 9 7 6 9 12 16 18 18 18 14 10 8 7 7 8 8 8 8 8 9 10 11 11 11 12 12 12 12 13 14 16 16 16 16 14 13 12 11 11 11 10 10 10 12 14 16 17 16 15 11 7 3 -0 -3 -5 -6 -5 -4 -1 2 5 8 8 7 5 5 4 5 7 9 10 11 12 13 14 15 15 14 14 14 13 13 13 13 12 12 12 12 12 11 11 12 12 14 16 17 17 16 15 nan
nan 17 15 13 12 11 10 11 11 11 12 13 16 21 26 30 29 22 13 6 2 1 1 3 4 4 4 5 6 8 8 8 8 8 8 9 10 10 9 9 9 10 10 9 9 9 9 8 9 10 11 11 11 10 9 8 7 7 7 9 10 12 13 13 12 10 9 7 5 5 6 7 9 10 10 10 9 7 7 7 8 10 11 11 11 11 11 11 10 8 7 6 9 11 14 15 15 14 10 6 4 4 5 7 8 8 7 8 9 11 12 15 17 17 16 16 15 14 13 13 14 14 14 13 13 12 11 11 10 10 10 11 12 13 13 14 14 12 10 7 5 3 2 0 -1 -0 1 3 6 10 13 14 13 11 9 8 7 8 10 11 12 13 14 15 16 16 16 16 16 16 16 15 14 13 13 12 12 11 11 11 11 12 13 14 15 15 14 13 nan
nan 14 13 13 12 11 10 10 11 11 12 13 16 21 25 26 23 15 8 4 3 3 5 5 5 5 5 6 6 7 8 9 9 9 9 10 11 10 10 9 9 10 11 10 10 9 9 9 9 10 11 13 13 12 12 10 8 7 6 6 6 8 10 12 13 11 7 2 -1 -1 1 4 8 11 12 12 10 9 8 8 9 11 12 12 11 11 10 10 8 7 6 6 8 12 14 15 15 12 9 4 3 3 5 7 8 7 7 7 9 11 13 18 22 22 23 23 23 21 17 14 12 11 10 11 11 11 11 11 10 10 10 11 11 11 10 10 11 11 11 10 9 9 9 8 6 6 7 8 10 14 17 19 18 16 14 13 12 11 11 12 12 13 14 15 15 16 16 16 15 14 13 13 12 12 11 11 11 11 11 11 11 12 13 12 11 10 10 9 nan
nan 12 12 12 11 10 11 11 11 12 12 14 17 18 20 19 15 10 6 5 5 6 7 7 7 7 7 7 7 8 8 9 10 10 11 12 12 11 10 9 8 9 10 11 11 11 11 11 11 12 13 14 15 16 16 15 13 11 8 6 5 6 8 10 12 11 7 2 -0 -1 1 4 9 12 14 14 13 12 11 11 12 12 12 12 12 11 10 8 7 6 6 6 8 13 16 18 17 14 9 4 3 4 5 7 7 6 7 7 8 10 11 16 20 23 26 28 29 27 22 17 13 11 9 9 9 10 11 11 11 11 10 10 10 9 9 9 9 10 11 12 12 13 13 13 12 12 12 12 13 15 18 19 19 18 17 15 14 13 13 12 12 12 13 13 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 10 9 8 8 nan
nan 10 10 11 11 10 11 11 11 11 11 13 16 16 15 14 11 9 8 8 8 8 8 7 7 8 8 8 8 8 8 9 10 10 11 12 12 11 9 7 7 7 9 11 12 14 15 15 14 14 13 14 15 15 16 16 16 14 12 9 7 7 8 11 12 12 10 7 6 6 7 9 12 14 15 15 14 14 13 13 13 13 12 11 11 11 10 8 7 6 5 6 8 13 16 19 20 17 11 7 5 6 6 8 8 6 6 5 6 7 9 12 16 21 26 30 31 28 24 19 15 12 10 10 10 11 11 12 12 12 11 10 10 9 9 9 9 10 11 12 13 14 15 14 14 13 12 12 12 13 14 14 15 15 15 15 14 14 13 12 12 12 12 12 11 11 11 11 12 13 14 14 14 14 13 12 11 11 11 11 11 11 12 11 10 9 8 9 nan
nan 9 10 10 11 11 11 10 8 8 9 11 14 15 15 14 12 12 12 11 11 10 9 8 7 7 8 8 8 8 7 8 9 10 11 13 13 11 9 7 5 5 7 10 13 16 18 19 18 16 15 14 13 13 13 13 13 13 12 10 8 9 9 12 14 14 14 13 13 13 13 13 12 12 13 13 13 13 13 12 12 11 10 9 10 11 10 9 7 5 4 5 7 12 15 18 20 18 13 9 7 7 7 8 8 6 5 4 4 6 9 11 15 20 25 30 30 26 23 19 16 14 12 12 12 12 12 13 13 13 12 11 10 10 10 10 11 11 11 12 13 14 14 14 13 12 11 9 8 8 8 8 9 10 11 11 12 12 11 11 11 11 10 10 9 9 9 9 11 13 14 15 16 16 15 14 13 12 12 11 10 10 10 10 10 10 10 11 nan
nan 10 11 11 11 11 10 9 7 6 8 11 13 15 16 15 15 14 14 13 12 11 10 9 8 7 8 9 9 9 8 7 8 9 11 13 13 12 10 7 5 5 6 9 13 16 20 20 20 18 16 14 12 12 11 11 12 11 11 10 9 9 10 12 14 16 16 17 17 17 15 13 9 8 8 9 10 11 11 11 9 9 8 9 10 11 11 10 8 5 3 3 7 10 15 17 19 17 13 10 8 7 7 7 7 6 5 4 3 4 7 10 15 19 23 26 25 22 19 17 15 14 13 12 13 13 13 13 13 13 12 12 11 11 10 11 11 11 11 12 12 13 12 11 11 10 8 7 6 5 5 6 6 7 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 12 13 15 15 15 15 15 14 13 12 12 11 11 10 11 11 12 13 14 nan
nan 10 10 11 11 11 10 9 8 7 10 13 14 16 17 16 16 15 15 14 13 12 11 9 8 8 9 10 11 11 9 8 8 9 10 12 12 12 11 9 7 7 8 10 12 15 18 19 18 18 16 15 14 13 13 14 15 14 14 12 11 10 11 12 13 15 16 17 17 16 14 10 6 4 4 6 8 10 10 10 8 8 8 9 11 11 11 10 8 5 3 4 8 12 16 18 18 16 12 9 7 6 5 5 5 5 5 5 5 4 7 10 13 18 20 22 21 17 16 14 14 13 13 13 13 13 14 14 13 13 12 12 11 11 11 11 10 10 10 10 10 11 11 10 10 9 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 10 11 12 12 12 12 13 14 14 14 14 14 14 14 14 13 13 13 13 12 12 13 14 15 nan
nan 9 10 10 11 11 10 10 10 10 12 13 15 16 16 16 15 15 15 14 13 12 10 9 8 8 9 10 12 12 11 9 8 8 8 9 10 11 12 12 10 10 11 12 14 16 17 18 17 17 17 17 17 17 19 20 21 20 19 17 15 13 12 12 12 14 15 15 15 14 12 9 6 3 4 6 9 12 11 11 10 9 8 9 10 10 10 9 7 6 5 6 11 14 17 19 16 13 10 8 6 5 4 3 2 4 5 7 9 10 12 14 16 19 21 20 18 15 13 12 13 13 13 13 13 13 13 14 13 13 12 12 12 13 13 12 11 10 9 9 9 10 10 10 10 9 9 8 8 7 7 6 6 7 7 7 7 7 8 9 9 10 11 12 12 13 13 13 13 12 12 12 12 13 13 13 14 14 15 15 15 15 15 14 14 13 14 15 nan
nan 11 13 12 12 11 11 12 11 12 12 14 15 16 16 15 15 14 14 13 13 11 9 7 6 5 5 6 8 9 9 9 7 6 6 7 10 11 13 14 14 13 14 15 17 18 19 19 19 18 18 18 18 20 22 24 25 24 23 20 18 15 13 12 13 14 15 14 13 12 11 9 7 6 6 8 11 14 14 13 12 10 8 7 7 8 8 8 8 8 9 11 14 15 16 16 13 10 8 7 6 4 2 0 1 2 5 8 12 15 17 19 20 22 23 21 17 14 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 15 14 14 12 11 10 10 10 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 10 11 12 13 13 13 12 12 13 13 12 11 11 11 12 13 14 15 15 15 16 16 16 16 14 14 13 13 13 nan
nan 15 15 13 12 12 12 13 13 13 13 14 15 15 15 15 14 14 14 13 12 11 8 6 4 2 0 -1 0 3 5 7 7 8 7 8 10 12 13 14 15 15 15 15 16 18 19 20 19 18 16 15 14 15 18 20 22 22 21 19 17 15 14 12 14 15 16 15 14 12 11 9 9 10 11 12 14 15 16 15 13 11 8 6 5 5 6 9 10 11 13 14 15 15 13 11 9 7 6 6 6 5 2 -0 0 2 4 7 11 14 16 19 21 22 23 20 17 15 14 14 14 14 14 14 13 13 13 13 13 14 15 16 16 16 17 16 16 15 14 12 12 12 12 13 13 13 13 12 12 12 11 10 10 10 9 9 9 10 10 11 12 13 13 13 13 11 10 10 10 10 10 10 11 12 14 15 16 17 17 17 17 16 16 15 13 13 12 12 nan
nan 14 13 12 12 12 13 14 14 13 13 13 14 15 15 15 14 13 13 13 12 12 10 8 6 4 3 1 -1 -1 0 3 5 8 9 10 10 11 12 13 14 14 14 14 14 14 16 16 16 15 13 11 8 8 9 11 15 17 16 16 14 12 11 10 13 16 17 17 15 14 12 11 11 12 13 14 15 15 15 14 12 10 7 6 5 5 7 10 14 16 17 15 14 13 10 8 6 5 6 6 7 6 4 2 2 2 4 6 8 10 12 14 17 19 19 17 15 13 13 14 14 14 14 14 13 13 13 13 14 15 16 16 17 17 17 17 16 16 15 14 13 13 12 13 13 14 14 14 14 13 13 12 12 11 10 9 9 10 12 13 14 14 14 13 11 10 8 7 6 6 8 10 11 13 14 16 17 18 18 18 17 16 15 15 14 13 12 12 nan
nan 12 12 12 12 12 13 14 13 13 12 13 13 13 14 14 14 13 11 10 9 9 9 8 9 9 9 8 6 2 0 0 1 3 6 8 9 9 10 12 13 13 13 13 12 12 13 14 13 12 11 8 6 5 5 7 10 12 14 14 13 11 9 8 11 15 17 17 16 14 12 11 11 12 12 13 13 13 11 11 9 8 7 5 6 7 9 12 16 18 17 14 11 10 8 6 5 5 5 6 7 8 6 5 4 3 3 4 5 6 7 8 10 12 12 12 12 12 12 12 13 13 13 12 12 12 12 13 14 15 15 16 15 15 15 15 14 14 14 14 13 12 11 11 11 12 12 13 13 14 14 13 12 11 11 10 10 10 12 13 14 14 14 13 12 11 9 7 6 5 7 10 11 13 14 16 17 17 17 16 15 15 14 14 14 13 13 13 nan
nan 11 12 12 12 12 12 13 12 12 12 12 11 11 12 14 17 17 14 10 6 5 6 7 9 10 11 12 13 11 7 4 2 2 4 6 8 9 10 12 13 14 14 13 13 12 12 12 13 12 11 9 7 6 6 6 8 10 13 15 14 13 11 9 9 12 14 16 16 14 11 9 9 9 10 10 11 10 8 7 7 8 9 8 9 10 12 14 16 15 13 10 8 6 6 6 6 5 5 5 6 7 7 7 7 6 4 3 3 3 4 5 5 6 7 8 9 10 11 12 12 11 11 11 11 11 12 13 14 14 14 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 12 12 11 11 11 10 11 11 12 12 13 13 13 12 12 12 11 10 8 8 10 12 14 15 16 16 15 15 14 13 13 13 13 13 13 14 14 nan
nan 10 11 11 10 10 10 9 10 10 12 12 11 9 10 12 17 20 20 17 13 9 8 9 9 11 12 13 15 17 16 12 9 6 7 9 11 12 13 14 15 16 15 14 13 12 11 12 12 12 12 10 8 7 6 6 7 8 11 14 14 13 12 10 9 10 12 14 15 14 11 9 8 8 9 9 9 8 7 7 7 9 11 13 13 14 13 13 12 10 8 6 4 4 4 4 4 4 3 3 4 4 6 7 8 9 8 7 6 5 5 5 6 6 6 8 9 10 11 12 12 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 9 8 8 8 9 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 11 11 11 13 15 17 17 16 15 13 12 11 11 12 12 13 13 14 14 nan
nan 9 9 9 9 8 7 6 7 8 12 13 12 10 9 10 14 18 20 21 20 17 15 14 13 13 13 13 14 17 18 18 15 13 13 15 16 16 17 17 17 16 16 14 13 12 11 11 11 12 11 10 8 7 6 6 6 7 9 11 12 12 12 11 10 11 12 13 13 13 11 9 8 8 9 9 9 9 7 8 9 10 12 15 15 15 13 10 8 5 4 3 3 3 2 2 1 1 0 0 1 2 4 7 10 12 14 13 13 11 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 11 12 12 13 12 12 12 12 12 13 14 15 16 16 16 15 13 13 13 15 16 18 17 16 14 12 11 10 10 11 11 12 13 14 15 nan
nan 9 9 10 11 10 9 7 6 7 10 13 13 11 9 9 11 14 16 18 20 20 19 19 18 17 16 15 15 15 16 17 17 16 17 18 20 20 20 19 17 16 14 14 12 11 10 10 10 10 10 9 8 7 7 7 7 7 8 9 10 11 11 11 11 11 11 12 13 12 12 10 9 8 8 9 10 10 9 9 10 11 13 16 16 14 12 8 5 3 2 1 1 1 -1 -2 -3 -2 -0 1 1 3 5 8 11 14 17 18 19 19 17 18 19 19 19 16 15 14 13 12 13 13 13 13 12 11 10 9 9 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 12 13 14 14 15 15 14 14 13 13 13 14 15 15 14 14 13 14 15 16 17 18 18 18 16 15 15 15 16 18 18 17 15 14 11 10 9 10 10 10 11 12 14 15 nan
nan 10 10 12 13 14 13 11 8 8 9 11 12 12 11 11 12 13 14 15 16 19 20 21 22 21 20 19 18 17 16 16 17 17 18 19 20 21 21 19 16 14 13 12 12 11 10 9 9 9 9 8 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 11 12 11 11 10 9 8 7 8 10 11 11 11 12 13 15 16 14 12 9 6 3 1 0 -1 -2 -4 -6 -7 -6 -4 -1 3 4 6 7 9 12 15 19 21 22 23 24 25 26 25 23 20 17 15 13 13 13 13 13 13 12 10 9 9 8 8 9 10 11 12 12 12 12 12 12 12 11 11 11 11 12 13 14 15 15 15 15 15 15 15 15 16 16 16 16 16 15 16 17 18 18 19 19 18 17 16 15 15 16 17 18 17 15 13 11 10 9 10 10 11 12 13 14 15 nan
nan 10 10 12 14 15 15 14 12 9 9 9 11 12 12 14 14 15 16 17 17 18 20 21 22 23 24 24 23 21 20 19 18 19 20 20 20 20 20 17 15 13 12 12 11 11 11 11 10 10 9 8 8 8 8 8 8 8 7 8 9 10 11 11 11 11 11 10 11 10 10 9 9 9 8 8 9 11 13 14 14 15 14 14 12 9 6 4 2 1 -0 -2 -4 -7 -10 -9 -7 -4 0 5 8 9 10 12 14 16 19 21 23 24 24 25 25 23 21 19 16 14 13 12 12 12 12 11 10 9 8 8 9 9 10 11 12 13 14 14 14 14 14 13 12 12 11 11 12 13 14 15 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 16 17 17 17 17 17 16 16 16 17 17 17 17 16 14 12 11 10 11 12 12 13 14 15 16 nan
nan 9 9 10 12 13 13 13 12 11 9 9 9 11 12 13 15 17 18 19 19 19 19 19 20 21 22 23 24 24 23 23 23 23 22 22 21 19 18 16 15 13 12 12 12 12 12 12 12 11 10 10 9 9 9 10 10 9 8 7 7 8 9 11 11 11 10 9 9 9 9 10 10 10 9 9 9 10 12 14 15 15 13 11 9 6 4 3 4 5 4 2 -1 -4 -6 -5 -3 0 4 7 10 11 12 13 14 16 18 20 22 22 22 21 20 18 16 15 14 12 12 11 11 10 10 10 9 9 9 9 9 10 10 11 12 13 14 14 14 14 13 13 12 12 12 12 12 12 14 15 15 15 15 16 17 17 17 17 17 17 17 17 16 15 14 14 13 14 15 16 16 16 16 16 17 17 17 17 16 15 13 12 12 13 14 14 15 15 15 15 nan
nan 9 9 9 9 9 10 11 12 12 10 9 8 8 9 9 11 12 14 16 16 16 15 14 14 15 16 17 18 20 21 22 23 23 21 20 19 18 16 15 14 14 13 12 12 12 11 11 11 11 11 11 10 10 11 12 12 12 10 9 7 7 8 9 10 10 9 8 7 7 9 11 12 13 12 10 10 10 10 10 11 11 9 8 6 5 4 4 8 11 13 12 9 6 3 2 3 5 8 10 12 13 14 14 14 16 18 19 21 22 22 20 17 15 13 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 16 17 18 18 18 18 18 17 17 16 14 13 12 12 12 14 14 15 15 15 15 15 16 17 17 16 15 13 13 13 14 15 16 16 16 15 15 nan
nan 9 9 8 9 9 9 11 13 14 14 14 11 9 7 5 5 5 5 7 8 9 9 10 10 10 10 11 12 14 16 17 18 17 16 16 16 16 16 15 15 15 14 13 11 10 9 9 9 9 9 9 9 10 10 11 12 13 12 11 9 8 8 8 9 9 9 7 6 7 8 11 13 15 14 13 11 9 8 6 5 5 4 4 4 3 3 6 10 15 19 21 19 15 12 9 8 9 11 13 14 14 15 15 15 16 18 20 21 23 23 20 17 14 12 11 10 10 10 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 14 13 13 12 12 12 13 14 15 16 17 18 18 18 17 17 16 15 14 13 12 11 11 12 13 14 15 15 14 15 15 16 16 15 14 12 13 13 14 15 16 16 15 14 13 nan
nan 9 9 9 8 9 10 11 13 15 17 18 17 15 11 8 5 4 3 3 5 6 7 8 9 9 9 9 10 11 12 13 13 14 13 14 15 16 17 17 16 16 15 14 12 10 9 8 8 7 7 7 7 7 8 9 11 12 12 12 10 9 8 8 8 8 8 8 7 7 7 9 11 13 14 13 11 9 6 4 3 2 1 1 1 0 -0 3 6 12 17 22 23 20 17 15 13 13 14 16 16 15 15 15 15 16 18 21 22 23 22 19 16 14 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 12 13 15 16 16 16 15 14 14 13 14 14 14 15 16 17 17 17 16 16 15 14 13 12 11 10 10 11 12 13 14 15 15 15 15 15 15 14 13 12 12 12 13 14 15 14 14 13 12 nan
nan 10 10 10 9 9 10 10 11 13 14 16 17 17 15 13 11 8 7 6 7 7 8 8 9 9 9 10 11 12 12 13 13 14 14 14 15 16 17 17 17 16 16 15 13 11 10 10 9 9 7 6 6 7 7 8 9 10 11 11 11 10 9 8 7 7 8 9 9 8 8 8 8 11 12 11 10 8 7 5 4 5 4 2 -0 -2 -2 -1 1 5 9 16 20 22 21 20 18 17 17 16 16 15 14 14 15 16 17 19 21 21 19 16 15 13 12 11 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 12 12 12 14 15 16 16 16 15 15 14 14 14 14 14 14 15 16 16 16 15 13 12 11 11 10 10 9 10 11 12 14 15 16 17 17 16 15 15 14 13 12 12 12 12 13 13 13 12 12 11 nan
nan 12 12 12 12 11 10 10 9 9 9 10 12 13 13 13 13 12 11 9 8 8 8 7 7 8 9 11 12 13 14 14 14 14 14 14 15 15 16 16 16 16 16 15 14 13 13 13 13 13 11 10 9 8 8 9 9 9 9 10 11 11 10 8 7 7 8 10 11 10 9 8 8 9 9 9 8 6 6 6 7 8 8 6 4 1 1 1 3 5 7 11 16 20 21 21 20 19 18 17 15 15 14 13 13 14 15 17 18 17 16 14 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 12 13 14 15 15 15 15 14 14 14 14 13 13 14 15 15 15 14 12 10 9 8 9 9 10 10 11 12 13 15 17 17 17 17 16 15 15 14 14 13 12 12 12 12 12 12 12 11 11 nan
nan 11 11 11 12 11 10 8 7 6 6 5 5 6 7 8 9 9 10 9 8 7 7 7 7 8 10 12 13 15 15 15 15 14 14 14 14 15 15 15 15 15 15 15 15 15 15 16 16 16 15 14 13 11 10 10 10 9 9 9 10 10 10 8 7 7 9 11 11 11 10 10 9 8 8 7 5 4 4 4 6 8 9 9 7 7 9 10 11 13 13 14 16 17 20 20 20 20 19 18 17 15 14 13 12 12 13 14 15 15 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 13 11 9 7 7 7 8 10 11 12 12 13 14 16 17 17 16 15 14 14 14 14 14 13 13 12 12 12 11 11 11 11 11 nan
nan 9 8 9 9 10 9 8 7 6 6 5 3 2 2 3 4 5 6 7 7 8 8 8 9 10 12 14 15 15 16 15 14 14 14 15 15 16 16 15 15 15 15 15 15 14 14 14 15 15 15 15 14 13 12 11 10 9 9 8 10 9 9 8 7 8 8 10 11 11 10 9 9 9 9 7 6 4 3 3 4 6 7 8 8 9 12 16 17 18 17 16 17 17 18 19 20 21 21 20 19 17 16 14 13 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 12 12 11 10 9 8 8 9 10 10 11 12 13 14 14 14 15 16 15 14 14 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 nan
nan 10 9 10 10 11 11 10 9 9 9 8 7 5 3 3 4 5 6 7 8 9 11 12 14 15 16 16 16 15 15 15 14 15 16 16 17 17 17 17 16 16 15 15 14 13 11 11 11 11 11 12 12 11 11 11 10 9 9 8 9 8 7 7 6 7 8 9 11 10 9 9 8 9 11 11 10 8 5 4 3 4 5 6 7 7 9 12 15 16 16 15 15 15 15 17 19 20 20 20 19 18 16 14 13 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 11 12 13 14 14 13 13 14 14 14 14 14 15 14 13 13 13 13 13 14 14 13 13 12 12 12 12 12 11 12 12 nan
nan 12 12 13 13 14 14 13 13 12 12 12 11 11 11 10 10 11 11 11 13 13 14 15 16 17 16 15 14 13 13 13 13 14 15 16 17 17 17 17 17 16 15 13 11 10 9 9 8 9 9 9 9 9 8 9 9 9 9 9 10 10 8 7 6 6 8 9 9 9 9 9 8 9 11 12 12 11 9 6 5 4 5 5 6 7 6 8 9 11 12 11 11 12 12 13 15 16 17 17 17 15 14 13 13 13 13 12 12 11 10 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 12 13 15 16 17 17 17 16 15 14 14 14 13 13 13 12 12 12 13 14 14 14 14 14 14 13 13 13 12 12 12 12 12 nan
nan 11 13 14 15 15 14 14 13 12 12 12 12 13 14 14 15 15 16 16 16 16 15 14 13 12 11 10 9 9 9 9 10 11 12 13 14 15 15 16 16 15 14 12 10 10 9 9 9 9 9 9 8 8 7 8 8 9 10 11 12 12 11 10 9 8 9 9 8 7 6 6 6 7 9 11 12 13 11 9 6 6 7 7 8 7 6 5 5 5 7 8 8 9 9 10 11 12 13 13 13 13 13 13 14 14 13 13 12 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 11 12 12 12 13 12 12 11 11 11 12 14 15 17 18 19 20 19 19 17 16 14 13 12 12 11 10 11 11 12 14 15 16 16 16 15 15 14 13 13 12 12 12 12 12 nan
nan 10 13 15 15 15 14 13 12 11 11 11 10 11 11 12 13 14 14 15 14 13 12 10 8 6 6 6 6 6 6 6 6 7 9 11 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 9 10 10 11 12 14 14 14 13 12 10 7 6 7 6 5 4 3 4 5 6 9 11 13 12 10 9 8 8 9 9 8 7 5 4 4 5 7 7 8 8 8 9 9 9 10 10 10 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 13 12 12 12 12 13 15 16 18 19 19 20 20 19 18 16 14 13 11 10 9 8 8 9 10 13 15 17 18 18 17 16 15 14 14 13 13 12 12 12 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
1 0 0 1 1 1 2 4 6 7 7 6 6 5 5 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 6 5 5 5 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 7 7 6 5 5 5 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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