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 3 4 4 4 5 5 5 5 5 5 4 4 3 3 4 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 4 3 3 4 6 9 14 22 32 41 45 40 27 16 11 10 10 10 10 9 8 6 5 4 3 2 1 -0 -1 -0 1 2 4 6 8 9 8 7 5 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 8 nan
nan 2 3 4 4 4 4 5 5 5 5 4 4 3 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 6 5 4 4 3 3 3 5 9 16 25 36 45 45 37 26 17 13 11 10 10 9 8 7 6 5 5 4 3 2 1 -0 -0 1 2 5 7 9 9 7 5 3 2 3 4 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 nan
nan -1 2 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 5 5 4 4 4 4 3 2 4 8 16 26 37 42 42 35 27 20 16 14 12 10 8 7 7 7 7 7 6 5 3 1 0 1 2 5 7 8 8 7 5 3 3 3 4 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 6 6 6 5 5 4 5 7 nan
nan -4 0 2 2 2 3 3 4 4 4 5 4 4 4 4 4 4 4 5 5 6 5 5 6 6 7 7 7 7 7 8 8 8 7 6 5 5 4 4 3 4 4 3 2 1 3 7 14 24 32 38 38 34 28 25 23 19 14 10 9 9 9 9 9 8 7 6 4 2 2 3 4 6 7 7 7 6 6 6 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 4 3 4 7 nan
nan -6 -2 1 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 7 7 7 7 8 9 9 8 7 5 5 4 3 1 1 4 4 2 0 1 2 5 11 20 28 31 29 27 29 33 31 24 18 15 13 11 10 10 10 9 8 7 5 3 3 4 5 6 7 8 9 11 10 8 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 5 4 3 1 3 8 nan
nan -5 -4 -2 1 2 2 1 2 3 3 4 4 4 4 4 4 4 4 5 6 6 5 4 3 4 5 6 6 6 7 8 9 9 9 8 7 5 5 3 -1 -1 3 5 2 -0 1 4 5 6 11 17 18 16 17 26 35 38 34 29 24 20 17 14 12 11 10 9 8 7 5 4 3 4 5 7 8 10 13 13 11 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 3 1 1 1 4 9 nan
nan -1 -5 -5 -1 2 2 0 1 1 2 3 3 3 3 3 3 3 4 5 6 6 5 3 2 2 3 5 5 5 5 6 8 9 10 10 8 5 4 3 0 0 3 5 2 -1 1 7 9 5 4 6 7 6 9 18 27 33 34 33 31 28 25 21 17 15 12 11 9 8 6 4 3 3 4 6 8 10 12 13 12 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 2 -1 -1 0 3 6 9 nan
nan 2 -3 -5 -1 3 1 -1 -2 -1 1 2 2 3 3 3 3 2 3 4 5 6 5 4 1 -1 -0 3 5 4 2 3 6 8 10 11 9 5 3 2 2 4 5 5 2 -1 1 8 9 3 -1 -0 2 4 7 12 17 21 25 27 29 29 29 28 25 22 18 15 12 10 8 5 3 2 3 5 7 9 11 12 11 9 7 6 5 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 5 2 -2 -4 -1 2 5 8 10 nan
nan 3 -2 -2 3 6 2 -2 -4 -3 -2 -1 -0 1 2 2 2 1 1 2 4 6 7 5 2 -3 -4 0 5 4 1 1 5 7 8 9 8 5 3 2 4 7 8 6 3 0 3 6 4 -1 -4 -2 2 5 8 9 9 10 13 17 20 23 26 28 29 28 25 22 18 14 11 8 6 4 3 4 5 8 11 12 12 10 8 7 6 6 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 3 -2 -5 -3 2 6 7 9 10 nan
nan 2 -0 2 6 8 5 1 -2 -2 -2 -3 -3 -2 -1 0 1 1 0 0 2 5 7 7 4 -1 -5 -2 4 6 5 4 6 6 6 7 7 5 4 4 6 8 9 8 6 4 5 4 -0 -3 -3 -2 1 5 7 7 6 6 7 9 11 14 17 21 25 27 29 28 25 21 16 12 9 6 4 3 4 6 10 12 13 12 11 9 7 6 6 7 6 7 8 8 8 7 7 7 6 6 5 5 5 5 3 -1 -5 -5 -0 6 8 8 9 9 nan
nan 4 2 3 6 6 5 5 4 3 2 -0 -1 -3 -3 -2 0 1 0 0 2 4 7 8 7 4 -1 -2 2 6 8 8 8 8 7 6 5 5 4 5 7 8 9 9 8 7 6 3 1 1 -0 -2 -3 1 6 7 5 5 4 5 6 8 10 13 18 22 26 29 30 27 23 18 14 10 6 4 3 5 9 12 14 15 16 14 10 7 4 3 3 5 7 8 9 9 8 8 7 6 6 5 5 3 -1 -4 -5 -2 4 8 9 9 9 8 nan
nan 5 6 6 4 3 3 4 7 8 7 5 4 2 -0 -0 1 2 3 3 3 4 6 7 7 7 4 1 2 5 8 9 9 8 7 5 4 4 5 6 6 7 8 8 8 8 7 4 4 6 4 -1 -4 -0 5 6 6 5 5 4 4 5 7 10 13 17 21 25 29 30 28 24 19 14 10 7 4 5 7 10 14 19 22 20 13 7 3 0 1 3 6 7 8 9 10 9 8 7 6 6 4 -1 -5 -6 -3 3 6 9 10 10 9 8 nan
nan 5 7 7 4 2 2 3 5 8 8 8 8 8 5 4 4 5 6 6 5 5 6 6 7 7 7 5 5 6 8 9 8 8 6 5 4 5 6 7 7 8 8 8 9 11 10 6 5 8 6 1 -2 1 5 6 6 6 5 4 4 4 6 9 12 13 16 20 24 28 29 28 24 20 15 10 7 6 6 8 13 19 24 22 13 6 3 2 3 4 4 5 7 9 10 10 10 8 7 5 1 -4 -7 -5 1 5 7 10 11 10 9 7 nan
nan 5 6 7 5 4 3 3 4 5 6 7 8 9 8 6 6 7 8 8 7 6 6 6 6 7 7 7 7 7 8 9 8 7 6 4 4 6 7 6 6 6 7 8 10 14 13 8 6 6 4 1 -0 2 5 6 6 6 5 4 4 4 6 9 11 11 12 13 17 21 24 27 27 24 21 16 12 8 7 7 11 16 19 16 9 4 4 5 6 5 5 6 7 9 9 10 10 8 5 2 -2 -5 -4 -0 4 7 9 10 10 10 8 6 nan
nan 6 6 6 6 6 6 5 5 4 4 5 6 7 7 5 5 7 8 8 7 6 6 6 6 6 6 6 6 7 9 10 9 7 6 5 6 6 6 5 3 1 2 5 9 13 13 9 5 3 1 -2 -2 0 3 5 6 6 5 4 3 3 4 8 10 11 9 8 9 12 16 20 25 27 27 23 18 13 9 7 8 11 11 7 4 4 6 7 7 6 7 8 8 8 8 9 8 6 3 0 -1 -2 -1 3 8 11 11 10 9 8 7 5 nan
nan 8 6 5 6 7 7 6 6 5 5 4 5 6 5 4 4 5 6 7 6 6 6 6 6 6 6 6 6 7 9 9 8 6 5 6 7 8 7 5 2 -1 -2 -1 4 9 10 8 6 3 0 -2 -4 -3 0 4 6 5 4 3 2 1 1 5 11 12 9 6 4 4 6 12 21 28 31 28 24 18 13 9 7 6 5 3 4 6 8 8 7 7 9 11 10 8 8 8 7 5 3 3 2 2 2 5 10 13 13 10 8 7 7 6 nan
nan 7 6 6 7 8 7 7 6 6 6 6 6 6 5 4 3 4 5 5 5 5 5 6 6 7 7 6 6 8 8 8 7 6 5 6 8 9 9 7 4 2 0 -1 2 6 8 8 7 6 4 1 -1 -3 -1 3 6 6 4 1 1 0 -3 1 11 14 11 7 5 2 1 6 17 26 28 28 26 23 18 12 7 5 5 5 7 9 9 8 7 8 10 12 12 10 9 8 6 5 5 5 4 4 5 7 10 13 13 11 8 8 7 7 nan
nan 6 6 7 8 8 7 7 7 7 7 7 7 7 7 5 5 5 5 6 5 4 4 5 5 6 7 7 8 8 8 7 6 6 6 6 7 8 8 7 6 6 6 5 4 6 7 7 7 8 7 5 3 2 2 4 6 7 5 2 2 1 -3 0 9 13 12 9 7 3 1 4 13 18 20 22 24 24 21 16 10 7 7 8 10 10 9 8 8 8 11 13 12 11 9 8 7 6 5 4 3 4 6 8 10 11 11 11 10 10 8 7 nan
nan 5 6 8 9 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 6 5 4 4 4 5 6 7 9 9 8 6 6 7 8 7 7 8 7 6 5 6 9 9 8 8 7 7 7 7 8 7 6 6 6 6 7 8 6 5 4 3 1 3 8 11 10 9 7 5 3 6 10 12 12 15 18 21 21 18 14 11 9 10 10 10 9 8 8 8 10 12 11 10 9 9 8 7 5 3 3 5 6 7 8 9 10 10 12 12 10 9 nan
nan 5 6 9 9 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 7 6 5 4 3 3 4 6 8 10 10 8 6 6 7 8 9 8 7 5 4 5 8 10 10 9 8 8 7 7 7 6 6 7 7 7 7 7 7 6 5 4 5 8 10 9 8 7 6 5 5 8 9 9 9 10 14 16 16 16 16 14 11 11 11 10 8 7 7 7 8 9 10 9 8 8 7 6 6 5 5 6 6 7 8 9 9 9 11 12 12 11 nan
nan 6 7 8 7 6 6 6 7 7 7 7 7 6 7 7 7 7 8 8 7 7 6 4 4 3 3 4 7 9 11 10 8 5 6 8 9 9 7 5 3 3 5 7 9 10 10 9 9 8 7 6 6 6 7 7 7 6 7 7 6 6 7 9 9 8 7 6 5 5 6 8 9 9 9 10 12 12 11 12 14 14 13 13 12 10 9 7 7 6 6 7 8 8 8 8 7 6 7 7 7 6 6 7 8 9 8 7 8 10 11 12 nan
nan 8 7 7 7 6 6 7 7 6 7 7 7 7 7 7 6 7 8 8 7 7 6 5 4 3 3 4 6 8 10 10 8 6 7 8 9 9 7 6 4 4 4 5 7 8 10 11 10 9 8 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 6 6 6 7 8 9 9 10 11 11 10 9 9 11 13 15 15 14 11 9 8 7 6 6 6 7 7 7 7 6 7 7 7 6 5 5 6 8 8 7 7 7 8 9 11 nan
nan 8 8 7 7 7 7 7 6 6 7 7 8 8 8 7 6 6 7 7 7 7 6 5 4 4 4 6 8 9 9 8 7 6 7 8 9 9 8 7 6 5 5 4 4 5 8 10 11 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 5 6 8 8 7 8 9 10 11 11 10 9 8 9 12 16 17 16 13 11 9 8 7 6 6 6 6 6 5 5 6 6 5 4 3 3 4 6 7 7 7 8 7 8 9 nan
nan 9 8 8 7 7 7 7 7 6 7 7 8 8 8 7 7 6 6 6 7 7 6 4 4 4 5 6 8 11 11 10 7 6 7 8 9 9 8 7 6 6 7 6 4 3 5 9 10 9 8 8 8 8 7 7 6 6 6 6 7 6 6 6 7 7 6 5 7 9 8 7 7 8 9 9 9 9 9 8 8 11 15 17 17 15 13 11 9 8 7 6 6 6 5 4 3 4 5 4 3 2 2 3 4 5 6 7 8 8 8 8 nan
nan 10 9 8 7 8 9 8 7 7 7 7 7 7 8 8 7 7 6 6 6 6 5 4 5 5 5 5 6 8 12 13 11 8 7 7 8 8 8 7 6 7 7 7 5 4 5 7 9 8 7 7 9 9 9 8 7 7 7 6 6 6 6 6 7 7 7 6 8 9 8 7 7 8 8 8 7 8 8 8 8 11 14 17 18 17 15 12 10 9 7 6 6 6 6 5 3 4 4 4 3 2 1 1 3 4 5 6 6 7 8 8 nan
nan 9 8 7 8 9 10 9 8 7 7 7 6 7 8 8 8 7 7 6 6 5 5 5 6 6 5 4 3 4 8 12 13 11 9 9 9 8 7 6 6 6 7 6 6 6 6 7 7 7 5 6 8 10 10 9 8 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 7 6 7 8 9 10 11 12 14 16 18 17 14 12 10 8 6 6 6 7 7 6 5 5 5 4 3 1 1 3 4 4 4 4 6 7 7 nan
nan 9 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 5 4 3 3 5 8 10 10 10 10 10 9 7 6 6 6 6 5 6 7 8 7 7 6 5 5 7 9 10 9 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 9 8 8 7 6 7 8 10 10 10 9 11 14 18 18 16 14 11 8 6 5 5 6 7 7 7 7 6 6 4 2 2 3 3 3 3 3 5 7 7 nan
nan 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 6 7 7 8 9 10 9 8 7 6 6 7 6 6 7 7 7 7 6 6 6 7 8 8 9 9 9 9 8 8 7 7 7 7 7 6 7 7 7 8 9 9 8 8 7 7 7 8 8 8 7 7 9 13 16 18 18 16 12 9 7 6 5 5 6 7 7 7 7 8 6 4 3 3 3 2 2 3 5 6 7 nan
nan 8 9 9 7 7 8 8 9 8 8 8 7 7 6 6 7 7 7 7 8 8 8 7 7 7 7 6 5 4 5 6 7 7 7 7 8 8 8 8 6 6 7 8 7 6 6 7 7 7 6 6 6 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 10 12 14 16 17 16 14 12 9 8 7 6 6 6 5 5 6 8 8 7 5 4 3 2 2 3 5 6 7 nan
nan 8 10 9 7 7 7 8 8 9 9 8 8 7 6 6 6 7 7 8 9 9 8 7 7 7 7 6 5 4 4 5 7 7 7 6 6 6 6 6 6 6 7 8 8 7 6 7 8 8 8 7 6 6 6 6 6 7 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 9 10 12 12 13 14 14 14 14 13 12 10 8 7 5 4 4 4 6 7 7 7 6 4 2 2 4 5 6 6 nan
nan 8 9 7 6 7 8 9 10 11 11 9 8 7 6 6 6 7 8 9 9 8 8 7 7 7 6 6 5 4 4 5 6 7 8 7 6 5 5 5 5 4 5 7 8 6 5 6 8 9 9 8 7 7 6 6 5 6 6 7 8 9 9 8 7 7 7 7 7 7 7 7 7 8 7 7 8 9 9 9 9 8 9 10 11 11 11 11 12 13 15 15 15 13 10 8 7 6 5 4 4 5 6 7 7 5 4 3 3 5 6 7 nan
nan 8 7 6 6 8 10 12 13 12 11 9 8 7 7 7 7 8 9 9 8 8 8 8 8 7 7 6 5 5 6 7 7 8 8 8 7 6 5 4 4 4 4 6 6 6 5 5 7 8 8 8 8 8 7 7 6 5 5 6 7 8 9 8 8 7 7 7 7 6 6 7 7 7 7 7 8 9 10 9 8 7 8 10 10 10 10 10 11 12 14 16 16 15 12 11 10 8 7 6 5 5 5 5 6 5 4 3 2 3 5 7 nan
nan 8 7 6 7 10 12 14 14 11 9 8 8 8 8 8 9 9 8 8 8 8 9 8 8 8 7 7 7 7 8 8 8 8 8 9 8 8 6 5 4 4 5 6 6 6 5 5 6 7 7 7 7 7 7 8 7 6 6 6 6 7 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 10 11 10 8 7 8 9 10 11 11 11 10 11 12 15 16 16 14 13 11 9 9 8 7 7 6 5 5 4 4 3 2 2 4 5 nan
nan 8 8 8 10 12 13 13 11 8 7 7 8 9 9 9 10 9 8 8 8 8 9 9 8 8 7 7 8 9 9 9 9 8 8 8 8 9 8 6 5 6 6 7 7 7 6 5 6 6 6 6 6 6 7 8 8 7 6 6 6 6 7 7 7 7 8 8 8 7 5 5 5 6 6 7 9 11 11 11 9 8 9 10 12 13 13 12 10 10 11 12 14 14 15 14 12 11 11 10 9 8 7 6 5 4 4 3 2 2 4 5 nan
nan 9 9 10 11 11 11 9 8 7 7 8 8 9 10 10 10 9 8 8 8 9 9 8 8 7 7 8 8 9 9 9 9 8 7 7 7 8 8 7 6 6 7 7 8 8 8 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 8 6 6 5 5 6 7 9 11 11 11 10 10 10 11 12 13 13 11 10 10 11 11 12 12 13 13 13 13 13 12 10 8 7 8 7 6 5 4 3 3 5 7 nan
nan 10 10 9 10 10 9 8 8 8 9 9 8 9 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 8 7 6 6 5 5 6 7 8 7 6 6 7 7 7 6 6 6 6 5 6 8 9 9 8 8 6 5 5 6 8 10 11 11 10 9 10 11 12 12 11 10 10 10 10 10 10 11 12 12 13 14 14 13 11 8 8 9 10 9 7 5 3 3 5 8 nan
nan 9 9 8 9 9 9 9 9 9 9 8 8 10 11 11 9 8 7 7 7 8 8 8 8 8 8 7 6 6 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 7 8 8 7 6 5 5 5 7 8 7 7 7 7 7 7 6 7 7 6 5 5 7 8 9 9 9 8 5 4 5 7 9 10 10 9 9 9 11 11 11 10 10 10 10 10 10 9 10 11 12 13 14 15 14 13 10 9 11 11 11 9 8 6 5 4 7 nan
nan 8 8 9 10 10 9 9 9 8 8 8 9 11 12 10 8 7 7 7 7 8 8 8 9 9 9 8 7 6 6 7 7 7 7 7 7 8 8 7 6 6 7 7 7 7 8 8 7 6 5 5 6 7 7 7 7 7 7 7 6 6 8 8 7 6 6 7 8 8 8 8 8 6 4 5 7 9 9 9 8 8 9 10 10 9 8 8 10 10 10 10 9 9 9 10 11 13 14 15 14 12 11 11 11 11 11 11 10 8 6 5 nan
nan 9 10 11 11 10 9 8 8 8 9 9 10 11 12 10 9 8 8 8 9 9 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 8 9 8 7 6 6 7 7 7 7 7 7 7 7 6 6 7 8 8 7 6 6 7 7 8 8 8 7 6 5 5 7 8 8 8 8 8 9 9 9 8 7 7 8 10 10 10 9 9 8 9 9 10 12 13 13 12 11 11 11 11 11 12 12 12 9 5 nan
nan 10 10 10 11 10 8 8 8 9 9 8 8 9 10 10 10 10 9 9 9 9 8 8 7 8 8 8 7 6 6 6 6 6 7 7 7 7 7 6 7 8 8 8 8 8 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 6 7 8 9 10 10 9 8 8 8 9 10 11 12 12 12 12 11 10 11 12 13 14 12 8 nan
nan 10 10 10 10 10 8 8 9 9 9 7 6 8 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 6 5 5 5 5 6 6 6 7 7 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 6 7 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 6 7 8 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 13 15 14 12 nan
nan 10 10 10 10 10 10 10 10 10 10 7 6 8 10 11 11 11 10 10 10 9 9 8 7 7 8 7 7 6 5 4 4 5 5 6 6 6 6 6 6 7 8 8 9 8 8 8 8 8 8 8 8 7 7 7 6 5 5 5 7 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 11 11 13 14 14 13 nan
nan 11 10 11 10 10 11 11 12 11 9 7 7 10 12 13 12 11 11 11 10 10 9 8 8 7 7 7 7 7 6 5 4 5 5 6 6 6 6 6 6 7 7 8 9 8 8 7 8 8 8 8 8 8 8 8 7 6 5 6 8 9 8 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 9 10 9 9 9 9 10 10 10 10 11 11 12 13 13 nan
nan 10 9 9 9 9 11 11 11 10 8 8 10 13 14 13 12 11 11 11 11 10 9 8 8 8 7 7 7 7 6 5 5 5 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 6 7 7 8 8 8 7 8 8 7 7 7 7 8 9 9 8 9 9 9 9 9 9 9 10 10 11 12 nan
nan 9 9 8 8 9 11 11 10 9 9 10 12 13 14 13 11 11 11 11 11 11 10 9 8 8 8 8 7 7 7 6 5 5 6 7 6 6 6 6 6 6 7 7 8 8 8 7 7 8 8 7 7 7 7 7 7 7 9 10 9 9 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 6 6 7 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 10 11 nan
nan 12 11 10 9 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 7 6 5 5 5 6 7 6 6 6 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 6 6 7 9 10 9 9 8 8 8 7 7 6 6 6 6 6 6 6 7 8 8 7 7 6 6 7 7 7 6 6 6 7 8 8 8 8 7 7 6 5 6 7 7 8 8 8 8 8 9 9 9 9 8 8 9 10 nan
nan 13 13 12 12 11 11 11 11 10 10 10 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 6 5 4 5 7 8 7 6 6 6 6 6 6 6 7 8 8 7 7 7 7 7 7 7 6 6 5 6 8 9 10 10 9 8 8 8 7 7 6 6 6 6 5 5 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 nan
nan 10 10 11 12 11 10 10 9 9 9 8 7 7 8 9 9 9 9 9 9 10 10 10 10 9 9 8 7 6 5 4 4 6 8 9 7 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 6 6 5 5 6 8 10 10 10 9 9 8 8 7 7 7 6 6 6 6 5 5 6 6 6 6 7 7 7 7 6 6 5 5 5 6 6 7 7 6 6 6 6 7 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 nan
nan 7 8 10 11 11 9 8 8 8 8 7 7 8 8 8 8 7 8 8 9 9 9 9 9 8 8 7 6 5 4 4 5 7 9 9 8 6 5 5 6 6 6 6 7 8 9 9 9 8 7 7 6 6 6 6 6 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 6 5 5 4 4 4 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 7 7 nan
nan 6 6 9 10 10 8 7 7 8 8 7 7 8 7 7 6 6 7 7 8 8 8 8 8 8 7 6 5 4 4 5 6 8 9 9 7 6 5 5 5 5 5 6 7 8 9 9 9 8 7 7 6 6 7 7 7 8 9 9 9 9 9 9 8 8 7 6 6 7 7 6 6 4 3 2 2 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 9 9 9 9 8 7 8 9 10 10 9 9 9 9 8 7 nan
nan 6 6 7 8 8 7 7 7 7 7 7 6 6 6 6 5 5 6 7 7 7 7 7 7 7 7 5 4 4 5 6 7 8 9 9 7 6 5 5 5 5 6 6 7 7 8 9 8 8 8 7 7 7 6 6 6 8 9 9 8 8 8 8 8 8 7 6 7 7 7 5 4 3 3 2 2 2 3 3 4 4 4 5 6 7 8 8 7 7 6 6 6 7 8 8 9 10 10 10 9 8 9 10 10 10 9 9 9 9 8 8 nan
nan 7 6 6 6 6 7 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 6 6 7 7 6 4 3 4 6 6 6 7 8 8 7 5 5 4 5 5 6 7 7 8 8 9 9 8 8 7 6 6 5 6 7 8 9 8 8 8 8 8 8 7 7 7 7 7 6 5 4 3 3 3 4 4 4 4 4 4 5 6 8 9 9 8 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 10 9 9 8 8 8 8 nan
nan 7 6 6 6 6 6 6 5 6 6 7 6 6 5 5 5 5 6 6 7 6 6 6 7 7 5 4 3 5 6 6 6 7 8 8 6 4 4 5 5 6 7 7 7 7 8 9 9 9 8 7 6 5 6 7 8 8 8 8 7 7 7 7 7 7 8 8 7 7 6 5 5 5 5 5 6 7 7 6 5 5 6 7 8 9 8 8 8 7 7 6 6 6 7 8 9 10 10 11 11 12 12 12 11 11 10 10 9 9 8 7 nan
nan 7 6 6 6 6 6 5 5 6 7 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 3 3 4 6 6 6 7 8 7 5 4 4 6 7 8 7 7 7 7 8 9 9 9 8 7 6 6 7 9 10 9 9 8 8 7 7 7 7 8 7 7 6 5 4 5 6 6 6 7 7 8 8 8 7 7 7 7 7 8 8 8 7 7 6 6 6 6 7 8 10 10 10 11 11 11 11 11 12 12 13 13 12 11 10 9 nan
nan 7 6 6 6 6 6 5 6 7 8 7 5 5 5 5 5 5 5 6 6 6 6 6 6 5 3 3 3 5 6 6 6 7 7 5 4 4 6 7 8 8 7 6 7 7 8 8 9 8 8 7 7 8 9 10 10 9 9 9 9 8 8 8 7 7 6 6 6 5 5 6 6 6 6 6 6 7 8 8 9 9 8 7 8 8 7 7 7 7 6 6 6 7 8 9 10 10 10 10 9 10 10 10 11 13 14 15 14 13 12 11 nan
nan 6 6 6 6 6 6 6 7 8 8 7 6 6 5 5 5 6 6 6 6 6 6 6 5 4 4 4 5 6 6 6 6 6 5 5 4 5 7 8 8 6 6 6 7 7 7 7 8 8 7 7 7 8 9 9 9 8 8 8 9 8 8 8 7 6 6 6 7 7 8 7 7 6 6 6 6 6 7 9 9 9 9 9 9 8 7 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 10 10 10 11 12 12 13 14 13 13 nan
nan 6 6 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 7 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 5 5 5 7 7 7 7 6 6 7 7 7 6 7 8 7 6 6 7 8 8 8 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 7 7 8 8 8 9 9 9 10 10 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 9 10 10 11 11 11 11 10 11 12 13 13 nan
nan 6 5 5 5 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 6 5 5 6 7 7 7 8 8 7 6 5 5 5 5 6 6 7 7 7 7 6 7 7 7 7 7 8 8 7 6 6 7 7 7 7 6 7 7 7 7 8 8 7 7 7 7 7 6 7 7 8 8 9 9 9 9 9 8 7 7 8 9 10 10 9 7 7 7 7 6 6 6 6 6 7 7 7 8 8 9 10 11 12 13 12 10 9 8 9 11 12 nan
nan 5 5 5 6 5 5 5 6 7 8 8 9 9 9 9 8 8 7 6 5 5 5 6 7 7 7 7 6 6 5 5 5 6 6 6 6 7 6 6 6 6 7 7 8 8 9 9 8 6 6 6 7 7 6 6 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 6 6 7 9 10 10 10 9 8 7 8 7 7 7 6 6 6 6 7 7 8 8 9 10 11 12 12 10 8 7 8 9 11 nan
nan 5 5 5 4 4 5 6 7 8 8 8 9 9 9 9 8 7 6 6 6 7 7 8 7 7 6 6 5 5 4 5 6 7 7 6 6 6 6 6 6 6 7 8 9 9 9 8 7 7 7 7 7 6 6 7 7 8 7 6 6 6 6 7 9 10 10 10 10 8 8 7 7 7 7 8 8 9 8 7 7 7 8 9 10 10 10 10 9 9 8 8 8 7 7 7 6 6 6 7 8 9 9 10 10 10 9 9 9 9 9 10 nan
nan 6 5 4 3 5 6 7 7 8 8 8 9 9 9 8 7 6 6 7 8 9 10 10 8 7 7 6 6 5 5 6 8 7 6 6 6 6 6 6 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 8 7 7 6 6 6 6 7 8 9 10 11 11 9 8 8 8 8 7 7 7 8 9 9 9 8 7 6 6 7 9 10 11 11 10 10 9 9 8 7 7 7 6 6 6 7 8 9 9 10 10 10 10 11 11 11 11 nan
nan 6 6 4 4 6 8 8 8 9 9 9 10 11 11 10 9 9 10 11 11 11 11 10 10 9 8 8 7 7 8 8 8 6 5 5 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 8 6 5 5 5 6 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 6 5 5 6 7 8 9 10 10 9 10 9 8 7 7 7 6 6 6 7 8 8 9 9 10 10 10 10 11 11 11 nan
nan 8 7 7 7 9 9 8 8 10 11 11 13 14 15 14 14 14 14 14 13 12 11 10 10 9 8 8 8 9 9 9 7 5 4 5 6 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 5 5 5 5 6 7 7 8 8 9 9 9 9 10 11 10 10 10 10 10 9 8 8 8 8 7 6 4 5 5 6 6 7 7 8 9 9 9 8 7 7 6 7 7 7 7 7 7 8 8 8 9 9 8 8 8 9 nan
nan 9 9 8 8 8 8 8 8 10 12 13 15 16 16 16 16 15 14 13 12 11 10 10 9 8 7 7 8 8 8 7 5 4 4 5 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 6 5 6 6 7 7 8 9 9 9 8 8 9 10 10 10 9 9 9 9 10 10 9 9 8 8 8 7 5 5 5 6 6 6 6 7 8 10 10 10 9 8 7 7 7 6 6 6 7 7 6 7 7 7 7 7 8 9 nan
nan 9 7 5 4 5 5 6 8 9 11 13 13 14 14 14 14 13 12 11 11 10 9 8 8 7 7 7 7 7 6 4 3 4 5 6 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 8 8 7 8 8 8 8 8 9 10 10 9 9 8 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 8 6 5 5 7 8 8 8 9 10 11 12 12 11 9 8 7 6 5 6 7 6 5 5 5 5 5 5 7 9 nan
nan 7 5 3 1 2 3 5 7 9 10 10 11 11 11 12 12 11 11 11 10 8 6 5 6 6 7 7 7 6 5 5 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 8 8 9 10 10 10 11 12 12 11 8 6 6 7 9 10 9 9 9 11 12 13 12 12 11 9 7 6 7 7 6 5 4 3 2 2 2 3 6 nan
nan 7 6 4 2 1 3 5 7 8 8 7 7 9 10 11 11 11 11 10 8 6 5 5 6 7 8 8 7 7 6 8 9 8 8 7 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 8 10 11 11 10 11 11 11 11 10 11 12 12 11 10 9 9 10 10 9 8 8 9 10 10 11 12 13 13 11 9 8 7 6 5 4 3 1 -1 -1 0 3 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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