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
nan 8 9 9 9 9 9 9 10 10 10 11 11 12 12 13 14 14 15 19 22 23 20 18 17 19 21 20 18 15 12 11 9 8 6 4 4 4 6 8 11 14 17 20 20 17 13 10 9 8 8 8 8 7 7 6 6 5 4 3 3 4 5 7 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 7 6 5 5 6 6 6 6 6 6 6 7 8 8 9 10 11 12 12 12 10 9 8 8 8 9 10 11 11 10 7 5 4 4 5 6 7 9 10 12 13 14 14 15 15 14 12 10 9 11 12 12 10 10 11 14 16 18 20 25 30 35 37 34 28 20 14 10 9 10 12 14 16 17 16 15 13 11 10 10 10 10 10 10 10 9 8 7 6 5 4 3 3 2 2 4 6 8 9 9 9 9 9 9 4 -7 nan
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nan 7 3 -0 -4 -5 -5 -4 -1 1 3 5 7 9 12 15 16 18 21 26 30 31 30 25 19 14 9 6 5 4 5 7 8 8 8 9 10 10 10 9 9 8 8 8 9 11 12 13 14 13 12 12 11 10 9 8 9 10 12 13 13 13 11 11 11 11 12 12 10 8 6 5 6 6 7 7 8 9 9 10 9 9 9 9 10 11 11 11 9 6 5 6 8 11 13 14 15 15 15 13 11 9 9 9 9 9 10 9 9 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 9 10 10 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan -2 -6 -7 -7 -5 -2 -0 2 4 5 7 9 11 15 19 22 24 27 28 28 25 19 10 4 0 -1 -0 2 4 7 8 8 8 8 8 9 10 11 11 10 10 9 9 9 9 10 11 11 12 12 11 11 11 10 10 10 11 12 13 12 12 10 10 11 11 11 11 9 8 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 8 10 14 16 17 16 15 14 12 9 8 7 7 8 9 9 9 8 7 6 6 7 8 9 10 11 12 12 12 11 11 11 11 10 10 10 9 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 9 9 10 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan -7 -6 -4 -1 1 2 3 4 5 7 9 12 16 19 23 26 25 23 20 15 9 2 -4 -7 -6 -4 -1 3 6 8 8 7 7 6 6 8 9 10 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 10 10 11 12 13 13 14 12 11 10 10 10 10 10 9 8 8 8 8 8 8 7 7 6 6 7 7 8 8 9 9 10 10 9 8 8 8 10 12 16 18 18 16 15 12 10 9 8 7 8 8 9 10 10 10 10 9 8 7 8 8 9 10 11 12 12 11 11 11 10 10 10 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 7 8 8 9 10 10 10 9 8 8 8 8 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 12 12 12 12 12 12 12 12 nan
nan -5 -2 1 4 5 5 5 6 7 10 13 17 21 24 26 25 20 13 7 2 -3 -5 -7 -5 -4 -1 2 5 8 9 8 7 6 6 6 7 8 10 11 11 11 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 11 12 13 14 12 11 10 10 10 10 9 9 9 9 9 9 9 8 7 5 4 4 5 7 8 9 10 10 10 10 9 9 9 10 11 15 18 18 17 15 12 10 9 9 9 9 9 9 10 10 12 13 14 14 14 12 11 11 11 11 11 11 12 11 11 11 10 9 9 9 8 8 7 7 7 6 6 6 6 6 7 6 7 7 7 7 7 8 8 8 8 7 6 6 7 8 8 9 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 12 13 13 13 13 13 13 12 12 13 13 13 nan
nan -2 1 3 5 6 6 7 8 10 14 20 24 28 28 27 22 12 5 -1 -3 -3 -3 -1 0 1 1 3 6 8 9 9 8 7 7 7 7 8 9 10 10 10 10 9 9 10 9 9 9 10 11 11 11 11 10 10 10 11 11 12 11 10 10 10 10 10 10 9 8 9 9 9 10 10 9 7 6 4 3 4 6 8 9 10 11 10 10 9 8 9 10 13 17 19 19 16 13 10 8 8 9 10 10 10 10 10 11 12 14 16 18 19 18 17 16 14 13 13 12 12 11 11 11 10 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 9 9 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 nan
nan 1 3 4 5 6 7 9 12 15 20 26 30 31 29 24 15 6 0 -2 -2 1 3 5 4 4 4 4 6 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 10 11 10 9 8 9 9 10 10 9 8 8 9 9 10 11 10 9 7 5 4 4 7 9 10 11 11 11 9 8 7 8 10 13 19 21 21 17 14 9 7 7 8 9 10 11 10 10 11 12 14 17 19 21 22 21 20 19 17 15 14 13 12 11 11 10 9 9 8 8 7 7 6 6 5 5 6 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 13 13 13 13 12 12 12 12 13 13 13 nan
nan 4 5 6 6 8 10 12 15 18 23 28 28 26 22 15 7 1 -1 -1 1 3 6 7 7 7 7 7 7 8 8 9 9 9 10 11 10 8 7 7 7 7 8 8 9 10 11 11 10 10 11 11 11 11 10 8 7 7 8 9 10 10 9 9 9 9 9 8 8 8 9 10 12 13 12 11 8 6 5 6 8 10 12 12 12 11 8 6 6 6 8 13 19 22 22 20 15 10 6 5 7 8 10 11 11 11 11 13 14 17 19 21 23 23 22 21 20 18 16 14 13 12 11 10 9 9 8 7 7 6 6 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 13 13 13 13 nan
nan 5 6 7 9 10 13 14 15 17 19 20 20 17 13 7 1 -0 1 2 3 5 7 8 9 10 10 9 9 8 8 9 9 10 11 12 10 8 5 4 4 6 8 9 10 11 12 12 10 10 10 11 12 12 11 9 7 7 7 8 10 10 11 11 10 9 7 6 7 9 11 13 15 16 15 14 11 9 7 7 9 11 12 13 12 10 8 5 4 4 6 11 17 21 22 20 15 10 6 5 6 7 9 10 11 11 12 13 15 17 19 21 23 24 24 23 21 19 17 15 14 12 11 11 10 9 8 7 6 6 6 5 5 5 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 8 8 9 10 11 11 11 11 11 11 12 12 12 13 13 13 13 12 nan
nan 6 8 10 13 14 14 14 13 14 14 14 14 11 9 6 3 3 4 5 6 7 8 9 10 10 11 11 10 8 7 7 9 10 12 13 11 8 5 2 2 4 9 12 14 15 15 13 11 10 11 11 12 13 13 13 11 9 8 9 10 11 12 13 12 10 7 6 7 9 11 14 16 17 17 16 14 11 9 9 10 11 12 12 12 10 7 5 3 3 5 10 15 19 19 18 14 9 6 5 5 7 8 10 11 12 12 13 14 16 19 21 23 24 24 23 21 19 17 15 14 13 12 11 9 8 7 7 6 6 5 5 5 6 6 6 6 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 nan
nan 9 10 12 15 17 15 14 12 11 13 13 12 11 9 8 7 7 7 8 9 9 10 10 10 10 10 11 11 9 8 7 8 10 12 14 13 10 7 3 2 4 9 15 18 19 18 15 13 11 11 12 13 14 14 14 14 13 11 10 11 12 13 13 13 11 9 8 9 10 12 14 16 16 16 16 14 12 10 9 11 12 12 12 11 9 7 5 3 3 5 10 15 18 18 16 13 9 6 5 6 6 8 10 11 13 13 14 15 16 18 21 22 23 23 22 20 18 17 15 14 13 12 10 9 8 7 6 6 5 5 5 5 6 6 6 6 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 10 10 10 11 12 12 12 13 13 13 13 12 nan
nan 13 14 15 16 15 14 13 11 10 11 12 11 11 10 10 9 9 9 10 10 11 12 11 11 10 10 12 13 12 10 8 8 10 11 12 12 11 10 6 4 6 10 16 19 21 19 16 13 12 12 12 13 14 15 15 15 14 12 11 11 12 13 14 14 12 11 10 10 11 12 13 14 14 14 13 12 10 9 9 10 12 12 12 11 8 6 5 4 4 7 12 15 17 17 15 11 8 6 5 6 6 8 10 12 14 15 17 17 18 19 20 21 21 21 20 19 17 16 15 14 13 11 10 9 8 7 6 6 6 5 5 6 6 6 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 10 10 10 11 12 12 12 13 13 13 13 13 nan
nan 18 17 16 14 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 10 10 10 11 13 13 11 10 9 9 9 8 9 10 10 8 6 7 11 15 19 20 18 16 13 12 12 12 14 15 16 16 16 15 13 12 11 12 13 14 14 14 12 11 11 11 11 12 12 12 12 11 11 10 8 9 10 11 11 10 8 6 5 5 5 7 10 14 16 16 15 12 9 6 5 5 5 6 7 10 12 15 17 19 21 22 22 21 20 19 19 18 17 16 15 15 14 12 11 9 8 8 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 10 10 9 10 10 10 10 11 12 12 12 13 13 14 14 13 nan
nan 16 14 12 9 8 8 8 9 10 10 9 9 9 9 9 10 11 11 10 9 8 8 9 9 8 8 9 10 11 11 10 9 7 6 6 7 8 9 9 7 7 11 14 17 19 18 16 13 12 12 13 14 16 17 17 17 16 14 13 12 13 13 14 15 14 13 12 11 10 10 10 11 11 11 11 11 11 9 9 10 10 9 8 5 4 4 5 6 9 13 14 15 13 11 9 6 5 5 6 6 7 8 10 12 15 17 20 22 23 22 21 19 18 17 16 15 15 14 14 13 12 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 nan
nan 9 9 8 7 7 8 9 9 9 9 9 8 8 8 9 10 11 12 12 11 10 8 8 7 6 4 4 6 7 8 8 8 7 7 6 7 8 9 9 8 9 11 13 16 18 17 16 14 12 12 13 14 15 16 16 16 15 15 14 13 13 13 13 14 14 14 13 12 11 10 10 10 11 11 12 11 11 11 10 10 9 8 6 4 3 4 6 9 12 14 13 13 10 7 5 4 4 6 7 8 9 10 11 12 14 16 19 21 21 21 20 18 17 15 14 14 14 13 13 12 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 13 13 nan
nan 6 7 7 8 9 9 10 10 9 9 9 8 9 8 9 9 10 12 12 13 13 11 9 8 6 4 3 3 3 4 5 6 7 9 10 9 10 10 11 11 11 12 14 15 16 16 14 14 13 12 12 13 13 13 13 14 14 14 15 14 12 11 11 11 12 13 13 12 12 11 10 11 11 12 12 12 11 11 10 9 8 6 5 4 4 6 8 11 14 14 12 10 8 6 5 5 5 7 8 9 10 10 10 11 13 14 17 19 19 18 18 17 16 15 14 14 13 13 12 11 10 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 11 11 12 12 12 12 13 13 nan
nan 7 8 9 10 10 10 10 10 10 10 9 8 8 8 9 10 9 9 9 9 11 12 11 10 8 6 5 4 2 1 2 3 5 8 10 11 11 12 13 14 14 14 15 15 16 15 14 13 13 12 12 12 11 11 11 12 13 14 14 13 12 10 9 9 10 11 12 13 12 12 11 12 12 12 12 11 10 10 9 9 8 7 6 6 7 8 10 12 13 12 9 7 6 5 6 6 6 7 8 9 10 10 10 10 11 12 14 16 16 16 16 15 15 14 13 13 13 12 11 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 10 10 11 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 10 10 11 11 11 11 12 12 12 12 13 13 nan
nan 9 10 10 11 11 10 10 10 10 11 10 8 6 6 8 12 12 10 8 5 6 8 10 10 9 7 6 6 5 2 1 0 2 6 8 10 11 12 14 15 16 16 16 16 16 16 15 14 13 12 11 11 11 11 11 12 12 13 13 12 11 10 9 8 9 11 12 12 13 12 12 11 10 10 10 10 9 9 9 8 8 9 8 9 10 11 12 11 10 8 7 6 5 5 6 7 7 8 8 9 10 10 10 10 10 11 12 13 13 14 14 14 14 13 13 12 12 11 11 10 9 9 9 8 8 7 6 6 6 5 5 6 6 6 6 7 7 8 8 9 9 10 10 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 11 12 12 12 12 12 nan
nan 10 10 11 12 12 11 10 9 10 11 10 7 4 3 5 10 14 15 14 10 6 5 6 7 7 7 7 8 9 7 4 2 2 5 8 10 11 13 15 15 16 17 17 17 17 16 15 14 13 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 12 12 13 13 12 10 9 9 8 8 7 7 7 8 9 10 11 11 12 11 11 10 8 7 6 5 6 6 6 7 7 8 9 9 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 10 10 9 9 9 8 8 8 7 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 12 12 12 nan
nan 10 11 13 14 13 10 7 6 6 8 8 5 2 1 3 7 12 16 18 17 12 7 6 6 7 7 8 10 12 12 10 8 7 9 11 12 13 14 16 16 17 17 17 17 16 15 14 13 12 11 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 12 10 9 9 9 8 7 6 6 6 8 10 11 12 12 11 9 7 6 6 7 7 7 7 6 7 8 9 10 11 13 14 15 16 16 16 15 14 13 12 13 13 13 12 12 11 11 10 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 nan
nan 11 13 15 16 14 9 3 0 1 4 6 4 2 1 3 6 9 12 15 17 15 11 9 7 7 8 8 9 11 12 13 12 12 14 15 16 17 17 17 18 17 17 17 17 16 14 13 12 11 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 11 9 8 8 9 10 10 8 7 7 7 9 11 11 11 10 8 6 5 5 6 7 7 7 6 7 9 11 12 14 15 17 18 18 19 18 17 16 15 14 13 13 13 12 11 11 10 10 9 9 9 8 8 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 12 12 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 nan
nan 13 14 16 18 16 10 4 -2 -1 3 5 5 3 3 5 7 8 9 10 12 13 12 10 9 8 8 8 9 10 11 12 14 16 18 19 20 20 20 19 18 17 17 17 17 16 14 13 12 11 10 10 10 10 10 11 10 10 10 10 10 11 11 12 12 12 12 12 13 12 11 10 8 7 7 9 11 12 12 11 10 9 10 11 10 9 8 7 5 4 4 4 4 5 5 6 7 9 12 14 15 16 17 18 20 20 20 19 17 16 15 14 14 13 12 11 10 10 10 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 10 11 12 12 12 12 12 12 12 11 11 12 12 12 12 11 10 10 10 10 10 10 10 11 nan
nan 13 14 17 19 18 14 7 2 1 4 6 7 6 6 8 10 11 10 9 9 10 11 10 9 9 8 8 8 9 10 12 14 17 20 22 22 22 21 19 18 17 17 17 17 16 15 14 12 11 11 11 11 11 11 11 11 10 9 9 10 10 12 12 13 13 14 14 13 11 9 8 8 8 8 9 11 12 14 14 13 12 11 11 9 8 7 6 6 6 5 5 4 4 4 5 7 8 11 14 15 16 17 18 20 21 21 20 18 17 16 15 14 13 12 11 10 10 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 11 nan
nan 11 12 15 17 16 14 10 6 5 6 8 8 8 8 10 13 14 14 13 11 10 11 11 10 9 9 8 8 9 10 12 15 19 22 24 24 23 22 20 18 17 17 17 16 15 14 13 13 12 12 12 13 13 13 12 12 11 10 9 10 10 12 13 13 14 14 13 12 9 7 8 8 9 10 10 10 11 12 13 14 13 12 11 9 8 6 6 7 8 8 7 6 6 5 6 7 9 12 14 16 17 18 18 19 20 21 20 19 17 16 15 14 13 12 11 10 10 9 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 13 12 11 10 10 10 10 10 10 11 nan
nan 8 9 11 12 12 11 9 8 8 8 8 7 7 8 10 14 15 15 14 13 12 12 12 11 11 10 9 9 9 11 12 15 19 20 22 22 21 20 19 18 18 17 16 15 14 13 12 11 12 12 12 12 12 12 13 13 12 11 10 10 10 12 13 13 13 13 12 11 9 8 8 9 11 11 10 10 10 10 10 10 11 10 10 9 7 7 7 8 10 11 11 10 9 8 9 10 11 13 15 16 17 18 19 19 20 21 20 19 17 16 15 13 12 12 11 10 9 9 8 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 12 11 10 10 10 10 10 10 11 nan
nan 6 7 8 8 8 8 8 9 11 11 10 9 7 7 9 13 14 14 14 13 12 12 12 12 12 11 10 10 10 11 12 14 16 17 18 18 18 18 18 17 17 17 16 14 13 12 11 10 10 10 10 9 10 11 12 13 13 11 10 10 11 12 12 12 12 12 12 11 10 9 9 10 11 11 11 10 9 8 7 6 6 6 7 7 7 7 7 9 11 13 14 13 12 11 11 11 12 14 16 17 18 18 19 20 21 21 20 19 17 16 15 13 12 11 11 10 9 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 10 10 11 11 nan
nan 7 8 7 5 5 6 7 10 14 15 13 12 9 8 8 10 12 13 14 14 14 14 13 13 13 12 12 11 10 11 11 12 13 14 15 16 16 16 16 16 16 15 15 14 13 12 11 11 10 9 8 8 8 9 11 12 12 11 10 10 11 12 11 10 10 11 12 12 10 10 9 10 10 12 12 11 9 8 6 5 3 3 3 4 5 6 7 9 11 13 15 15 13 12 11 11 12 14 16 17 18 18 19 20 20 20 19 18 17 15 14 13 12 11 10 10 9 9 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 10 9 6 3 3 5 7 12 15 17 16 15 12 10 9 9 11 12 14 15 15 15 15 15 14 14 13 12 10 10 10 10 11 13 14 14 15 15 15 15 15 14 14 13 13 13 12 11 10 9 8 8 8 9 10 11 10 10 11 11 13 12 9 8 8 10 12 12 11 9 9 9 11 12 13 12 10 9 6 5 5 4 3 3 3 4 6 8 10 11 13 14 13 12 11 10 12 14 16 17 18 18 19 20 20 19 18 17 16 15 13 12 12 11 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 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 9 9 9 8 8 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 12 9 6 4 3 5 7 12 16 18 18 17 14 11 9 9 10 12 14 15 16 16 15 15 15 14 14 13 11 10 9 9 10 11 12 13 14 15 15 15 14 14 13 13 13 13 12 11 10 9 10 10 10 10 10 10 10 10 11 13 14 12 9 7 7 9 11 12 10 9 8 9 11 12 12 10 9 9 8 8 8 7 6 4 4 5 6 8 10 12 14 14 13 12 11 11 11 14 15 16 18 18 19 19 19 18 17 16 15 14 13 12 11 11 10 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 12 12 12 12 13 13 12 12 11 11 11 10 10 nan
nan 10 8 6 5 4 4 6 9 14 17 17 17 15 12 10 10 10 12 14 16 16 16 15 15 15 14 14 13 12 11 10 10 10 11 12 13 13 14 14 14 14 13 12 12 12 12 11 10 9 9 10 11 11 11 11 10 10 10 11 13 14 12 9 7 7 9 11 11 9 8 8 9 11 11 9 8 7 7 8 9 9 8 8 7 7 9 10 11 13 15 18 19 17 15 13 12 12 13 14 14 16 18 19 19 19 18 17 15 14 13 12 12 11 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 5 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 12 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 nan
nan 8 7 6 5 5 5 5 6 9 13 15 15 14 12 11 10 10 11 13 15 16 16 15 15 14 14 14 13 13 12 11 11 11 11 12 12 13 14 14 14 13 12 11 11 11 10 9 8 8 8 9 10 11 12 12 11 11 12 12 13 12 10 8 6 7 8 11 12 10 8 8 8 10 10 8 7 5 5 7 8 9 9 9 9 10 12 13 14 15 17 20 22 21 20 17 15 14 13 13 13 14 15 17 18 19 18 17 16 14 13 12 11 11 10 10 9 9 9 8 8 7 7 6 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 nan
nan 9 8 8 8 7 7 5 5 7 10 12 13 12 11 10 10 9 10 11 13 15 16 15 15 14 14 14 13 13 13 12 13 13 13 13 13 13 14 14 13 12 11 10 9 9 8 8 8 8 8 9 10 11 11 12 12 12 13 13 13 10 7 6 6 7 9 12 13 11 9 7 6 7 9 9 8 7 6 6 7 8 9 10 11 11 12 13 14 15 16 19 21 22 22 20 18 16 14 13 13 12 13 15 16 18 19 18 17 14 12 12 11 10 10 10 9 9 9 8 7 7 7 6 6 6 5 5 5 5 5 5 5 6 7 7 7 8 8 9 9 9 9 10 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 10 nan
nan 11 10 11 12 11 10 9 8 9 10 12 12 11 11 9 9 8 8 9 10 12 13 14 15 14 14 14 13 13 13 14 15 16 16 16 15 14 14 14 13 12 11 9 8 7 7 8 8 8 9 9 10 10 11 11 11 12 13 13 13 10 6 5 5 7 11 13 13 11 9 6 6 7 9 10 10 9 8 6 6 7 9 10 12 13 13 14 14 14 16 18 20 21 22 21 19 17 15 14 13 13 13 14 15 16 18 18 17 15 13 11 11 10 10 9 9 9 8 8 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 nan
nan 11 11 13 14 14 12 10 9 10 12 13 13 12 11 10 9 8 8 9 10 10 11 12 13 14 14 14 14 13 13 14 16 17 18 18 17 16 15 14 13 12 10 9 8 7 8 8 9 9 10 10 11 11 11 11 11 11 12 12 11 9 8 7 7 8 12 13 12 10 8 6 6 8 10 10 11 10 9 7 6 7 8 10 12 13 14 15 15 15 16 17 18 19 19 19 18 17 15 14 13 13 14 14 15 15 16 17 16 14 12 11 10 10 9 9 9 8 8 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 12 11 10 10 10 11 11 12 12 12 12 12 12 12 11 nan
nan 10 12 14 15 14 12 10 9 9 10 12 13 13 12 11 10 10 9 9 10 10 11 12 12 13 13 13 13 13 14 15 16 17 18 18 18 18 17 15 14 12 11 9 8 8 8 9 9 9 10 11 12 13 13 12 12 11 11 10 9 9 10 10 10 10 10 11 11 9 8 6 6 6 8 9 10 10 9 8 7 7 8 9 10 12 13 15 17 17 17 17 17 16 17 16 16 15 15 14 14 14 16 16 16 15 15 15 14 13 12 11 10 10 9 9 8 8 7 7 6 6 5 5 5 4 5 5 5 5 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 10 9 9 9 10 12 12 13 13 13 13 13 13 12 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 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 1 10 19 17 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 10 14 17 21 27 38 48 54 52 52 55 58 59 60 65 77 92 110 136 169 206 242 280 325 386 430 447 443 434 485 530 537 511 474 466 471 387 316 293 309 325 327 344 391 470 564 616 671 725 773 810 840 874 882 859 814 759 735 738 755 767 762 730 693 675 674 673 631 558 474 399 383 482 534 539 541 551 538 488 464 464 537 696 781
1 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 1 3 5 8 3 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 3 5 6 9 14 19 27 36 41 40 33 29 30 36 43 50 54 60 73 98 136 174 221 271 324 384 456 477 469 464 473 506 540 552 534 476 398 365 302 273 287 325 355 349 352 387 450 507 508 533 568 610 657 718 782 797 784 752 711 689 685 689 691 682 654 623 610 609 603 572 516 462 365 262 273 386 503 581 615 610 576 536 528 592 716 819
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 2 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 7 11 16 22 32 36 32 25 20 22 27 34 40 46 51 63 90 131 179 232 292 355 416 469 509 507 503 507 518 529 536 532 475 376 294 223 253 308 359 385 383 382 402 435 456 436 419 427 457 510 582 628 630 630 631 624 615 609 601 597 592 582 564 552 539 521 493 462 438 406 367 344 409 477 530 573 611 648 651 633 674 786 925
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