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
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nan 36 37 36 34 30 26 22 19 18 16 15 11 7 4 1 -2 -3 -2 0 4 7 10 13 17 22 27 30 32 30 26 22 19 17 15 13 12 13 13 14 14 14 12 10 8 6 5 7 8 10 10 10 10 10 11 11 11 12 13 15 16 14 12 11 11 12 13 14 13 12 10 10 9 10 11 11 12 11 11 10 9 8 8 8 8 10 12 13 12 10 8 7 8 10 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 11 12 12 13 13 14 15 16 17 17 18 16 14 13 11 9 8 7 7 7 8 9 9 10 10 10 11 12 13 14 15 14 14 13 12 12 12 11 10 10 10 12 13 15 16 16 16 17 17 17 17 18 18 17 17 16 15 15 14 13 12 12 12 11 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 nan
nan 37 33 27 22 20 18 17 17 17 16 13 8 3 -1 -6 -9 -9 -3 6 14 21 24 24 23 24 26 27 26 23 19 16 13 12 11 10 10 12 13 14 15 14 13 11 9 8 6 6 7 8 8 8 8 9 10 11 11 12 13 14 15 13 12 13 14 15 16 16 14 13 12 11 11 11 11 11 11 11 10 9 8 9 9 9 9 11 13 14 14 12 11 10 11 14 16 16 15 14 13 11 9 8 8 9 10 10 10 10 9 9 8 7 6 6 6 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 10 10 11 11 11 12 13 13 13 12 11 11 10 9 9 8 8 7 7 8 10 12 14 14 15 15 16 17 17 18 19 20 20 20 19 17 16 15 14 14 13 12 11 11 11 12 11 11 11 11 11 11 10 10 10 10 10 nan
nan 34 29 22 18 16 16 17 17 17 15 10 4 -1 -6 -10 -12 -8 3 15 24 31 30 24 19 18 19 20 20 18 15 12 11 10 10 10 10 11 13 14 14 13 12 11 10 9 8 7 7 7 8 8 8 9 10 10 11 12 12 12 11 10 12 14 16 18 19 18 16 13 12 12 11 11 11 11 10 9 8 8 8 8 9 10 11 12 14 14 14 13 12 12 13 14 16 16 16 15 13 10 8 6 7 8 9 9 10 9 7 5 3 1 1 1 2 3 5 6 6 6 6 7 8 8 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 11 10 9 9 7 7 6 7 7 7 8 9 9 10 10 11 12 13 14 15 16 18 20 21 22 23 22 21 20 18 16 15 14 13 13 13 12 12 12 12 12 12 12 12 11 11 10 9 nan
nan 27 25 23 20 19 17 17 16 14 11 6 0 -6 -9 -11 -7 3 13 23 29 31 27 19 13 12 13 16 17 17 14 11 10 10 10 11 12 13 13 13 13 12 11 10 10 10 9 8 8 8 8 8 9 10 10 10 11 11 12 12 10 8 9 12 15 18 19 18 16 14 12 12 12 12 12 12 11 10 9 9 8 8 9 10 11 12 12 12 12 12 12 12 13 13 14 14 14 14 13 10 7 6 6 7 8 9 9 8 6 3 0 -2 -2 -0 2 4 6 7 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 10 10 9 8 7 7 7 8 9 9 9 9 8 8 9 10 10 11 12 13 14 16 19 21 23 24 25 24 22 20 18 16 16 15 14 13 13 13 13 13 13 12 12 11 11 10 9 nan
nan 21 21 21 20 18 16 14 12 10 7 2 -3 -7 -7 -5 5 16 24 29 30 27 22 15 10 10 11 14 16 15 13 11 10 10 11 12 14 14 13 12 11 10 10 10 11 11 10 10 9 9 9 9 10 11 12 12 13 13 13 13 11 9 8 10 13 16 18 18 18 16 14 14 14 15 15 14 13 13 12 12 12 12 12 12 12 12 10 9 9 8 9 10 12 13 13 14 14 14 12 10 8 7 7 8 9 9 8 7 5 2 -1 -3 -2 1 3 6 8 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 10 10 11 11 12 14 15 18 20 22 24 24 23 22 20 19 18 17 16 15 15 15 14 14 13 12 11 10 9 9 nan
nan 15 15 16 15 13 11 8 7 5 3 -0 -2 -2 1 8 18 25 28 27 26 23 19 14 11 10 11 12 14 14 12 11 10 11 12 15 16 15 13 11 9 8 9 11 12 12 12 12 11 11 11 11 12 12 13 15 15 16 16 15 14 11 9 10 11 14 18 19 20 18 17 15 14 14 15 15 14 14 15 16 17 17 16 15 14 13 10 8 6 6 6 8 11 14 15 16 15 14 12 10 9 9 9 10 10 10 9 7 5 1 -1 -2 0 3 6 8 10 11 12 11 11 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 10 10 10 10 11 11 11 11 12 13 15 17 19 21 23 23 23 22 21 19 18 17 16 16 15 14 13 12 10 10 10 nan
nan 11 11 11 10 8 7 5 3 2 2 2 3 6 10 18 24 25 23 21 19 19 18 15 13 11 12 13 14 14 12 10 10 10 12 15 17 16 14 11 9 8 10 11 11 11 11 11 12 12 13 14 14 14 14 14 15 16 16 16 15 13 11 10 10 13 16 18 19 18 15 13 11 11 12 12 13 13 15 16 18 18 18 17 16 14 12 9 7 6 6 8 12 15 17 18 17 14 12 10 10 11 11 12 12 12 10 7 5 1 -1 -0 2 5 8 10 11 12 11 11 10 10 9 8 8 9 9 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 10 10 11 12 12 11 11 10 10 10 12 14 17 20 23 24 24 23 21 20 19 18 17 16 14 13 12 11 12 nan
nan 9 9 9 8 6 4 3 3 3 4 6 9 12 16 20 23 21 19 17 16 16 16 15 13 11 11 13 14 14 13 10 9 9 11 14 16 17 16 13 11 10 10 9 8 7 7 9 11 14 16 18 17 16 13 12 12 13 14 15 15 14 12 10 9 10 13 15 15 14 12 10 9 9 10 11 11 12 13 13 15 16 17 17 17 16 14 12 10 8 7 8 12 15 17 17 16 14 11 11 11 11 12 13 14 13 11 8 5 1 0 2 5 7 9 11 11 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 11 11 11 10 11 11 12 13 12 12 11 10 10 10 10 11 13 15 18 21 23 23 22 21 21 20 19 16 15 14 13 14 nan
nan 9 8 7 6 5 4 4 5 5 7 10 12 14 17 19 20 19 17 16 15 15 15 14 12 11 10 11 13 14 14 12 10 9 9 12 16 18 18 16 14 13 10 7 5 4 5 8 12 16 18 20 20 16 12 9 9 9 11 13 13 13 11 10 9 9 10 11 11 11 10 9 9 10 10 11 11 11 10 10 11 13 15 17 18 17 17 15 13 10 6 7 10 13 16 17 16 13 10 10 10 11 12 13 13 12 10 7 4 2 2 5 7 9 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 11 13 17 19 21 22 22 22 22 20 18 16 16 16 nan
nan 9 8 7 5 5 6 7 8 9 11 13 14 16 17 19 19 19 17 15 14 14 14 14 12 11 10 11 13 14 14 13 11 9 9 11 14 17 19 20 18 15 11 8 5 4 6 9 13 16 17 18 17 12 8 7 6 6 7 9 10 10 10 10 9 9 9 10 10 10 10 10 10 11 12 12 12 12 10 9 10 11 14 16 17 17 17 15 13 10 6 6 9 12 15 16 16 13 10 10 10 10 11 12 12 10 8 4 2 1 4 7 9 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 10 9 9 10 11 12 13 17 21 23 24 23 21 20 19 18 nan
nan 9 9 7 6 7 8 9 10 11 12 14 17 18 18 18 18 16 15 14 13 12 12 12 12 12 12 13 15 15 14 12 10 9 9 10 12 14 16 18 18 15 12 9 7 6 7 9 11 12 13 11 9 7 6 5 5 5 6 7 8 9 10 10 10 9 10 10 11 11 11 10 11 12 13 14 14 13 11 10 11 12 14 15 15 15 14 13 11 9 7 8 10 12 14 16 15 13 11 10 10 10 10 11 11 9 7 4 2 3 6 8 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 10 10 11 11 10 10 10 10 11 12 12 12 11 10 10 9 8 8 11 15 19 22 24 24 24 22 20 nan
nan 13 11 9 8 8 9 10 10 11 12 15 18 20 19 18 15 14 14 13 12 11 10 10 11 12 12 13 15 15 13 11 9 8 8 8 8 8 9 10 12 12 11 9 8 8 8 9 10 10 9 8 6 6 7 7 8 9 9 9 10 10 10 10 10 9 10 11 12 12 12 11 11 11 13 14 15 14 13 12 13 14 14 14 13 12 11 10 9 8 10 11 13 14 14 14 14 13 11 10 10 10 11 13 12 10 8 5 4 6 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 10 13 16 20 24 25 24 22 nan
nan 17 14 10 8 8 10 10 11 10 11 14 17 20 20 17 14 13 14 14 13 11 10 10 11 11 11 12 13 13 12 10 8 7 7 8 7 6 5 6 8 10 9 9 9 9 10 11 11 11 11 11 11 12 12 12 13 13 14 14 13 12 11 10 10 9 10 11 12 13 14 13 12 11 11 12 13 13 13 13 14 14 14 13 11 9 9 9 9 10 13 14 14 14 13 12 12 11 11 11 11 13 15 15 14 11 8 6 6 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 10 11 10 10 10 9 9 9 9 9 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 14 18 21 22 23 nan
nan 15 12 8 7 8 10 11 11 10 10 12 15 18 18 16 13 13 14 14 14 13 11 11 12 13 13 12 12 11 11 10 8 7 7 7 6 5 5 6 8 9 8 8 8 8 9 11 13 14 16 17 19 19 16 14 12 12 12 13 14 13 13 11 11 10 10 11 12 13 13 13 12 11 11 11 12 12 12 12 12 12 13 12 10 8 8 10 12 14 15 14 13 13 11 11 10 10 11 12 14 16 18 17 14 11 8 7 8 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 9 9 8 9 10 11 11 11 11 10 10 12 15 18 20 nan
nan 11 8 6 6 8 11 13 13 12 11 12 14 16 16 15 14 13 14 14 14 13 12 12 13 15 15 15 13 11 10 9 8 6 7 6 6 6 6 7 9 9 8 7 6 7 8 9 11 13 16 19 21 20 16 12 8 7 8 10 11 13 14 14 13 12 11 10 11 11 12 13 12 12 12 12 13 13 12 11 10 10 10 10 8 8 8 11 14 16 15 13 11 10 10 9 9 9 11 14 16 17 16 14 11 9 8 8 9 10 10 10 9 9 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 9 8 8 9 10 11 11 11 11 11 10 9 10 12 14 nan
nan 9 7 6 7 10 12 14 14 13 12 13 14 15 15 14 14 14 13 13 12 11 11 11 12 13 14 15 15 14 12 11 9 8 8 8 9 9 9 10 10 9 9 8 7 7 7 8 9 11 13 15 16 16 13 9 7 6 8 10 11 12 13 14 14 12 11 10 10 11 12 13 13 14 14 14 14 14 13 12 11 10 10 9 9 9 9 11 13 14 13 11 10 9 8 8 9 11 12 14 14 13 11 9 8 8 9 10 10 9 9 8 8 8 10 11 11 12 11 11 11 11 11 11 10 10 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 10 9 9 9 9 10 10 9 9 8 9 9 9 9 10 10 11 11 11 10 9 9 9 10 nan
nan 12 9 9 9 11 12 13 13 12 12 14 14 15 14 12 12 12 12 12 11 10 11 11 11 12 13 14 16 17 18 16 15 13 13 14 14 14 13 13 11 10 10 9 9 8 8 8 9 10 11 12 13 12 11 9 8 8 10 12 12 12 11 12 11 11 11 10 11 11 12 13 15 16 16 17 16 15 14 13 12 12 11 11 11 11 11 12 13 14 13 11 10 10 9 9 10 11 11 11 10 8 7 7 7 8 9 10 10 9 8 7 7 9 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 8 8 8 8 9 9 9 9 10 10 10 9 9 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 9 8 8 nan
nan 14 13 11 11 12 12 12 12 11 12 13 14 13 12 11 10 10 10 11 12 12 13 14 14 14 15 15 17 20 21 22 21 19 17 17 16 15 14 13 11 10 10 10 10 9 9 9 9 10 11 12 12 12 11 10 10 10 11 12 11 11 10 9 9 9 10 11 11 12 12 13 14 16 17 17 17 16 15 14 13 13 12 12 11 12 12 13 16 17 16 15 13 12 11 11 11 11 10 9 7 6 6 6 7 8 8 9 9 9 9 8 9 10 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 9 8 nan
nan 15 14 13 14 15 15 14 13 12 12 12 12 12 11 10 10 10 10 11 13 14 15 16 17 17 17 18 18 20 21 22 22 21 18 16 15 13 12 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 11 11 11 10 9 8 8 8 9 10 11 12 12 12 12 13 14 15 16 17 16 15 13 12 11 11 11 12 12 13 15 17 18 18 17 15 13 13 13 12 12 12 11 10 8 7 6 7 7 8 9 9 9 9 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 nan
nan 14 14 14 15 16 17 17 16 14 12 12 11 11 11 12 12 13 13 13 13 14 15 16 16 17 18 18 18 18 19 19 19 18 16 14 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 9 10 11 12 12 12 11 11 11 12 13 15 16 16 14 12 10 9 9 11 12 14 15 15 16 17 16 16 14 13 13 13 14 14 15 14 12 9 8 7 7 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 13 nan
nan 12 13 13 14 15 17 18 18 16 13 11 11 11 12 15 17 18 18 17 15 14 14 14 14 15 16 17 18 17 17 16 15 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 9 8 8 9 10 12 12 12 11 10 10 10 11 13 14 15 14 13 11 9 8 9 12 13 15 16 16 16 15 15 14 13 12 12 14 15 15 16 14 12 9 8 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 11 12 12 13 13 12 12 12 12 13 14 nan
nan 11 11 10 11 13 15 17 18 17 14 11 10 10 12 17 20 21 21 20 17 15 14 13 13 14 15 17 17 17 16 14 12 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 10 11 11 11 11 11 11 10 9 10 11 12 12 12 10 9 9 10 11 12 14 14 14 13 11 10 9 10 11 13 14 15 15 15 15 14 13 12 12 13 15 16 16 16 13 10 9 8 7 8 8 8 8 8 9 9 9 10 10 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 11 12 12 12 13 13 13 12 12 12 12 12 13 13 nan
nan 12 10 8 9 11 13 15 17 17 15 12 10 11 12 15 19 19 20 19 18 16 15 13 13 13 14 15 15 15 14 12 11 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 7 7 8 8 9 9 10 11 12 13 14 14 12 11 11 11 11 11 9 9 9 10 11 12 13 13 13 12 11 10 10 10 11 11 12 13 14 14 14 14 13 12 14 17 18 19 18 15 12 10 8 8 8 9 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 10 10 9 8 7 8 8 8 9 10 12 13 14 13 12 12 11 11 11 11 11 12 11 12 nan
nan 13 10 8 9 10 12 14 17 18 17 16 14 13 13 14 15 15 15 15 15 15 15 14 13 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 9 10 10 11 12 12 12 12 11 10 9 8 8 8 8 8 8 9 10 12 14 15 15 14 12 12 11 11 10 9 8 8 9 11 13 14 13 12 11 10 10 9 9 9 9 10 11 12 13 13 13 14 15 18 20 21 20 18 14 11 9 9 9 9 10 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 9 8 8 8 8 8 9 10 11 13 13 13 12 11 10 9 9 9 9 10 10 10 10 nan
nan 14 12 10 8 8 9 11 14 17 19 19 19 17 15 13 12 11 11 11 11 12 13 13 12 10 9 9 8 7 7 7 7 8 8 7 7 7 7 7 8 9 10 11 13 13 14 14 14 14 13 11 11 11 10 10 9 8 9 10 12 14 14 13 12 11 11 11 10 8 7 7 8 11 13 14 13 11 10 9 9 8 7 6 7 9 10 11 12 12 13 15 18 21 22 21 19 16 12 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 11 12 13 13 12 10 9 8 8 7 8 8 9 9 10 10 nan
nan 15 14 11 8 7 7 8 10 14 17 20 20 18 15 12 11 9 8 8 7 8 9 9 9 8 7 7 7 7 7 8 8 9 9 8 7 7 7 7 8 9 10 11 12 13 14 14 15 16 16 16 15 15 15 14 12 10 9 9 10 12 13 12 11 10 10 10 10 8 7 6 7 10 13 14 13 11 9 8 8 8 7 7 7 8 10 11 12 12 12 14 17 19 20 19 17 14 11 10 9 8 7 7 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 12 13 13 13 13 11 8 7 6 6 7 7 8 9 9 10 10 nan
nan 15 14 12 10 9 8 7 9 12 14 17 18 16 13 11 10 9 8 6 5 5 6 7 8 8 8 8 8 8 9 10 10 11 10 9 8 7 8 8 9 10 10 11 12 12 12 13 13 14 15 16 17 17 18 17 16 13 11 9 10 11 11 11 10 10 10 11 11 9 7 6 6 8 12 12 11 10 8 8 9 11 11 10 8 8 9 10 11 12 12 12 13 14 15 15 14 12 10 9 8 7 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 10 10 11 12 13 13 13 12 9 7 6 6 6 7 8 9 9 10 10 10 nan
nan 13 13 12 11 11 10 10 10 11 13 13 14 14 12 11 10 9 8 6 4 4 5 7 9 9 9 9 10 10 11 12 12 12 10 9 8 8 9 10 10 10 11 11 11 10 10 10 10 10 12 13 14 16 17 18 17 15 13 11 10 10 10 10 10 11 12 13 12 11 9 8 6 7 9 9 9 8 8 9 11 12 12 11 9 8 9 11 12 13 12 11 10 10 11 12 12 11 10 8 8 7 6 7 8 8 9 9 8 7 7 6 6 6 6 7 7 7 7 7 7 7 8 9 9 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 10 11 12 13 13 12 12 12 10 8 7 6 6 7 8 9 9 9 10 10 10 nan
nan 11 11 11 11 11 12 13 12 12 12 11 11 11 11 11 10 9 7 5 4 4 6 8 9 10 10 10 11 11 12 13 13 12 10 9 8 9 10 11 11 11 11 11 10 9 8 7 7 7 8 10 11 12 14 16 16 15 13 12 11 10 10 10 11 12 14 14 14 13 11 9 8 7 7 7 8 8 9 10 11 11 11 10 9 9 10 13 14 15 14 11 9 9 9 10 10 10 9 8 7 7 7 7 8 7 7 7 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 8 8 9 9 9 10 11 12 13 14 13 13 12 12 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 9 8 7 7 7 7 8 9 9 9 10 10 10 nan
nan 11 10 10 11 12 13 14 14 13 12 11 11 11 10 10 10 9 8 6 5 5 7 8 10 11 11 11 12 12 13 13 13 12 10 9 8 9 11 12 12 12 11 10 9 8 7 7 6 6 7 8 9 10 11 12 13 13 12 11 10 10 10 12 13 15 16 16 15 13 11 10 7 6 6 7 8 9 10 10 10 10 10 11 11 12 13 15 16 16 15 12 11 10 9 9 10 9 9 8 8 8 8 8 8 7 6 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 11 12 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 12 13 13 12 12 11 10 8 8 7 7 7 7 7 8 9 10 10 10 10 nan
nan 11 11 12 12 13 14 15 16 16 14 13 11 11 11 11 11 11 11 10 9 8 9 10 11 11 12 12 13 13 13 14 13 12 10 8 7 8 11 13 13 12 11 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 12 14 15 17 18 17 16 14 12 10 8 6 7 9 10 11 11 10 10 10 11 13 15 16 17 17 17 16 15 13 12 11 10 10 10 10 9 9 8 8 9 8 7 7 5 5 4 5 6 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 11 12 12 11 11 10 11 11 12 11 11 11 11 11 11 11 10 11 10 10 10 10 10 9 9 9 9 10 11 11 12 13 12 12 12 12 12 12 12 12 12 12 11 9 8 7 7 7 7 7 7 8 9 10 11 11 11 nan
nan 12 13 13 13 13 13 14 15 16 16 15 13 12 12 12 13 15 16 16 15 14 13 13 13 13 13 13 13 13 13 13 13 12 10 8 8 9 11 13 13 13 11 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 9 10 11 12 14 15 16 17 18 17 15 14 13 12 10 9 9 10 12 13 13 12 11 12 14 16 18 19 19 18 17 15 15 13 13 12 11 11 11 10 10 9 9 9 9 9 8 7 6 5 5 6 7 8 9 9 10 10 10 9 8 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 10 10 10 10 9 9 9 9 10 11 11 12 13 13 13 13 13 12 12 12 12 12 12 11 10 9 8 8 7 7 7 7 8 8 9 11 11 12 11 nan
nan 12 15 15 14 12 11 11 11 12 13 14 14 13 13 14 15 17 19 20 20 19 18 16 15 15 14 14 14 14 14 14 13 12 10 8 8 9 11 12 12 12 11 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 12 13 14 15 16 17 16 16 15 13 12 11 11 12 11 11 12 13 14 15 15 16 17 18 20 21 20 18 16 15 13 13 12 12 12 12 11 11 11 11 10 10 11 11 11 11 9 8 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 12 12 12 12 11 10 10 10 10 10 9 9 9 10 11 12 12 13 14 14 14 13 13 13 12 12 11 10 10 9 9 9 8 8 8 8 8 8 9 10 11 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 5 5 6 7 8 8 9 9 9 9 8 7 7 7 6 5 5 5 4 3 2 1 0 0 0 0 1 8 30 77 158 236 254 180 43 10 1 0 0 0 0 0 3 14 38 92 132 144 121 64 24 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 5 6 7 8 9 9 9 8 7 7 7 7 6 5 5 4 3 2 0 0 0 0 0 15 56 125 210 309 360 275 130 16 1 0 0 0 0 0 0 1 8 28 83 126 125 83 28 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 4 4 5 6 8 8 8 8 7 7 7 7 6 5 5 4 4 3 1 0 0 1 14 72 158 253 341 411 422 265 103 9 0 0 0 0 0 0 0 0 2 22 64 99 84 42 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 5 6 6 7 8 7 7 7 7 7 6 5 5 4 3 2 1 0 5 58 160 264 334 374 386 348 220 64 8 1 0 0 0 0 0 0 0 0 10 26 39 34 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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