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 7 8 9 10 10 10 11 12 12 11 9 8 9 10 11 11 9 8 8 9 10 12 11 10 9 9 9 10 10 10 10 10 11 12 15 17 19 20 20 20 19 19 18 18 19 19 19 19 19 19 18 18 17 16 15 14 14 14 14 13 13 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 11 12 12 11 11 11 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 10 10 9 9 10 11 13 12 9 8 8 9 10 10 9 8 8 8 10 11 11 11 11 10 10 10 10 10 10 10 10 11 13 15 18 19 20 20 19 19 18 18 19 19 19 19 20 20 20 20 20 19 18 17 16 16 16 15 14 13 13 13 13 13 14 13 12 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 9 10 10 9 9 9 11 13 12 10 8 8 9 11 10 9 8 7 7 9 10 11 11 11 10 10 10 11 11 11 10 10 11 12 14 17 18 20 20 19 18 18 18 18 18 19 19 20 20 20 21 21 21 21 20 19 19 18 18 16 16 15 15 15 15 15 15 14 14 14 14 13 13 13 13 12 12 11 11 10 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 10 11 11 10 9 8 11 13 13 12 9 8 10 11 10 10 8 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 12 13 16 18 19 19 19 18 18 18 18 18 18 19 19 19 20 20 21 21 22 22 22 21 20 20 19 18 18 18 18 18 18 18 17 17 17 18 17 16 15 15 14 13 12 11 11 10 9 9 10 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 10 11 11 10 9 9 11 13 13 12 11 11 11 11 11 10 8 6 7 8 9 10 10 10 10 11 11 10 11 11 11 11 11 12 14 16 18 19 18 18 18 18 18 18 18 18 18 18 19 19 19 20 21 21 22 22 22 21 21 21 20 19 20 20 20 20 20 20 20 20 20 20 19 17 16 15 14 13 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 10 11 10 9 8 9 10 11 12 12 12 13 13 13 13 11 9 8 8 9 9 10 10 10 10 10 10 9 9 10 10 11 12 13 15 17 18 18 17 17 17 17 17 18 18 17 18 18 18 18 19 20 20 20 21 21 21 21 21 21 20 20 20 20 20 20 20 20 20 20 19 19 18 18 16 15 14 13 13 13 13 12 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 11 10 9 8 7 7 8 10 11 11 12 14 14 14 13 11 10 9 9 10 10 10 10 9 10 9 9 8 9 9 10 11 12 13 15 16 16 14 14 14 14 16 16 17 17 17 17 17 18 18 19 19 19 19 20 20 20 20 20 19 19 19 19 18 18 19 18 17 17 16 16 16 16 15 15 14 13 12 12 12 12 12 12 12 11 11 11 10 9 9 9 10 9 9 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 10 10 9 7 6 7 8 9 10 11 11 13 14 14 13 11 10 10 10 11 11 11 10 10 10 9 8 8 7 8 9 10 11 11 11 11 9 8 7 8 9 11 12 14 15 15 15 16 17 18 18 18 18 18 18 18 18 18 18 17 17 16 16 16 16 15 14 14 13 12 12 12 12 12 12 11 10 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 10 10 9 8 7 6 7 8 9 10 10 10 11 12 12 11 10 9 9 10 10 10 11 11 11 11 10 8 7 6 7 8 9 9 9 7 5 4 4 3 3 4 4 5 6 8 10 11 14 16 17 17 17 17 17 16 16 16 15 15 14 13 13 13 13 12 11 11 10 9 8 9 9 10 10 9 8 8 8 9 10 10 10 10 10 10 11 10 10 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 nan
nan 9 9 8 7 6 6 7 8 9 10 9 8 9 10 11 11 10 9 9 9 9 9 10 11 11 11 9 8 7 7 8 8 8 8 8 7 6 6 6 6 5 5 4 2 2 3 5 7 11 13 14 14 14 15 15 14 14 13 12 11 10 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 7 7 8 9 10 10 10 9 9 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 nan
nan 9 9 8 7 6 6 7 8 10 9 8 7 8 9 11 11 11 10 10 9 9 9 9 10 10 9 8 7 8 8 9 8 8 8 8 8 9 10 10 10 11 11 11 10 9 9 9 10 11 10 8 8 10 13 13 12 12 11 10 9 8 8 8 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 9 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 6 nan
nan 9 8 8 8 7 7 7 8 9 9 8 8 8 10 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 8 9 10 10 10 10 11 14 17 19 19 19 18 17 15 12 9 8 10 12 12 11 11 10 9 8 8 8 7 7 7 6 6 5 5 6 6 7 7 8 8 9 9 10 11 10 10 9 9 9 9 9 9 9 9 10 9 9 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 nan
nan 9 9 8 8 8 8 7 8 9 9 9 9 9 10 11 11 12 11 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 10 9 8 7 8 10 13 17 18 18 17 16 13 12 12 12 12 11 10 10 10 10 9 9 9 9 8 8 7 6 5 5 6 6 7 7 7 8 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 nan
nan 9 9 9 8 8 8 7 7 8 9 10 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 8 7 7 7 7 8 8 9 9 9 9 8 7 6 6 6 5 6 7 7 6 4 3 3 5 5 5 4 5 5 6 8 9 9 9 9 8 5 3 2 3 5 7 8 8 8 8 9 10 10 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 nan
nan 10 10 9 9 8 7 7 7 7 9 10 11 11 11 11 10 10 10 10 10 9 8 7 8 8 8 7 6 6 6 6 8 9 9 9 9 8 8 8 8 7 5 3 1 -1 -1 -1 -2 -3 -4 -4 -4 -4 -4 -3 -2 -1 1 4 6 6 5 4 2 0 1 4 7 9 9 9 9 9 9 10 10 11 11 10 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 nan
nan 10 10 10 9 9 7 7 7 8 9 10 11 11 11 10 10 9 9 10 10 9 8 7 7 7 7 6 6 6 5 6 7 8 9 9 10 9 9 9 9 8 7 5 4 2 2 1 2 1 0 -1 -1 -2 -3 -4 -4 -5 -4 -2 -1 -1 -0 1 3 4 6 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 nan
nan 11 10 10 9 9 8 7 7 8 9 10 10 10 10 9 9 9 10 11 11 10 8 7 7 7 7 7 7 7 6 6 6 6 7 9 11 10 10 10 9 9 9 8 7 7 7 7 7 8 7 6 5 5 4 3 2 0 -1 -2 -3 -3 -2 1 5 9 10 9 7 5 5 5 7 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 nan
nan 11 10 10 9 9 9 9 8 8 9 9 9 8 7 7 8 9 11 12 11 10 8 7 6 7 8 8 8 8 7 6 5 4 6 9 11 12 11 10 9 9 9 9 9 10 10 11 11 10 10 9 8 8 8 8 7 6 5 3 2 2 2 3 5 7 7 6 5 3 2 3 7 9 10 10 10 10 10 10 10 10 10 11 10 10 10 9 8 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 nan
nan 11 10 10 10 10 11 11 10 10 9 8 8 7 6 7 8 10 12 12 11 9 8 7 7 8 8 9 8 8 7 6 5 5 7 9 11 12 12 10 9 8 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 7 9 10 11 10 11 12 12 11 10 10 10 10 10 10 10 11 11 10 10 9 9 8 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 nan
nan 12 12 12 12 12 12 13 13 12 10 8 7 6 7 8 10 11 11 11 10 9 9 8 8 9 9 8 8 7 6 6 5 6 7 8 10 13 13 10 9 8 8 9 10 11 10 11 11 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 10 13 16 19 21 21 19 16 14 12 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 nan
nan 16 16 15 15 14 13 14 14 14 11 9 7 8 9 11 11 11 10 10 10 9 10 10 10 9 9 8 8 7 6 5 5 6 7 8 10 14 13 12 10 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 10 11 11 12 13 15 19 21 22 21 18 16 14 12 11 10 11 10 10 10 10 10 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 nan
nan 18 17 15 14 13 12 13 13 13 12 10 9 10 12 13 13 11 10 9 10 11 11 10 10 10 10 9 9 8 6 5 5 6 6 7 10 13 13 13 11 9 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 11 12 13 15 17 21 23 22 19 15 12 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 8 nan
nan 15 14 12 10 9 10 11 12 12 11 10 11 12 14 15 14 12 11 10 11 12 12 11 12 12 12 11 10 8 6 6 6 6 6 6 8 10 12 14 13 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 11 12 13 16 19 23 25 23 19 14 11 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 nan
nan 12 11 10 8 8 8 10 10 10 10 11 11 12 14 14 14 13 12 12 13 13 12 12 12 13 12 11 8 6 6 6 6 5 5 5 6 8 12 15 14 12 10 9 8 9 9 9 10 9 9 9 9 9 9 10 10 10 11 11 12 13 16 21 24 22 19 14 11 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 nan
nan 10 10 9 9 9 9 9 9 8 9 10 11 12 14 15 15 15 14 13 13 12 11 11 11 11 10 8 5 4 4 5 5 5 5 6 6 8 13 16 15 13 10 8 7 8 8 9 9 9 9 9 8 8 8 9 9 10 10 11 12 13 14 16 16 13 11 9 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 nan
nan 11 10 10 11 11 11 9 7 7 8 9 10 13 15 16 17 16 15 12 11 11 11 11 11 9 8 6 5 4 4 5 5 6 7 7 7 10 15 16 16 13 9 6 7 7 6 7 8 9 9 9 7 6 7 7 8 9 10 11 11 12 11 9 6 5 6 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 nan
nan 12 11 13 14 14 13 10 8 8 8 10 11 15 17 18 18 17 13 10 10 12 13 13 11 9 8 6 5 5 5 7 8 9 8 7 7 11 14 16 16 12 8 7 6 5 5 6 7 8 10 9 7 6 5 5 7 8 10 11 11 11 9 6 6 7 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 nan
nan 13 13 14 15 15 14 12 10 10 11 12 15 17 18 19 19 17 13 12 12 14 15 13 10 8 7 6 6 7 9 10 10 10 9 8 8 10 13 16 15 12 10 9 7 5 5 5 6 8 10 10 8 7 5 5 7 8 10 11 11 10 9 9 11 14 14 12 9 8 8 9 9 9 9 9 10 10 10 10 9 9 8 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 nan
nan 14 14 14 15 15 15 14 14 14 15 16 18 19 19 20 20 19 17 17 16 15 13 11 10 9 8 8 9 10 11 10 9 9 8 9 10 11 13 15 15 14 12 10 7 6 6 6 7 9 11 10 9 8 7 7 8 9 11 12 12 11 11 12 15 16 14 11 8 8 9 9 10 10 10 10 11 11 11 10 10 9 8 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 nan
nan 15 15 15 15 16 17 18 19 19 19 19 19 19 19 20 20 20 20 20 19 16 14 13 12 11 10 9 9 9 8 7 6 6 7 9 10 12 13 14 15 14 13 10 8 7 7 7 8 10 10 10 9 8 8 9 9 10 12 13 13 13 12 13 13 12 10 8 7 9 10 11 11 11 11 12 12 11 11 10 10 9 10 11 11 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 nan
nan 15 15 16 17 18 20 22 23 24 24 23 22 20 18 18 19 19 19 19 19 18 16 14 12 10 9 8 7 5 4 3 3 4 5 6 8 10 11 13 14 15 14 11 9 8 7 8 9 10 10 10 9 8 9 9 10 12 13 13 13 12 12 12 11 9 8 7 9 10 12 12 12 12 13 12 12 12 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 nan
nan 14 15 15 17 20 22 26 27 29 30 30 29 25 21 18 17 16 17 18 17 15 14 11 9 7 6 5 4 3 3 3 4 4 5 5 6 7 9 11 14 16 16 14 12 9 8 9 9 9 9 9 8 9 9 9 11 12 12 12 12 11 11 11 10 9 8 8 10 12 13 13 13 13 13 13 12 12 12 11 11 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 15 14 14 15 17 20 24 26 29 32 35 37 34 29 24 19 16 16 16 14 12 9 7 5 4 4 4 4 4 4 5 5 5 5 5 6 6 8 11 14 17 17 16 13 10 9 9 9 9 9 9 9 9 9 9 11 11 11 11 11 10 10 10 11 10 9 9 11 13 14 15 15 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 13 12 11 12 12 14 16 19 21 26 31 36 38 36 33 28 23 19 15 13 11 9 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 8 11 13 16 17 16 13 11 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 11 13 14 15 15 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 4 3 2 3 nan
nan 9 8 9 9 9 10 10 11 13 17 22 27 33 36 38 36 32 25 18 13 11 9 9 9 8 7 7 7 6 6 6 6 6 6 6 6 7 8 10 12 14 15 15 13 11 10 9 9 9 10 10 9 8 8 8 8 9 10 9 9 9 9 10 11 11 11 11 11 12 13 15 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 3 1 -1 -3 -3 -3 nan
nan 6 6 7 7 8 8 8 8 8 10 14 19 24 30 35 38 36 30 22 16 12 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 9 10 12 13 14 14 12 11 10 10 11 10 10 9 8 7 7 7 8 9 8 8 9 9 10 11 11 12 11 10 9 9 9 8 8 9 11 11 12 12 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 3 1 -2 -3 -4 -4 -2 -1 nan
nan 3 4 5 6 6 7 7 5 4 4 8 13 18 24 30 35 35 31 25 18 14 12 11 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 11 13 14 13 12 11 11 11 10 9 8 7 7 6 6 7 8 8 8 9 10 10 10 11 12 10 8 5 3 -0 -1 -0 3 5 7 8 10 10 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 5 3 0 -2 -3 -3 -2 1 4 6 nan
nan -0 2 3 4 5 5 5 4 0 -2 1 7 14 20 26 30 31 29 25 20 16 14 13 13 14 14 13 11 9 9 9 8 8 8 8 9 8 7 7 7 8 10 14 15 15 13 11 11 10 10 9 7 7 6 6 5 5 6 7 8 9 9 10 11 12 12 10 8 5 0 -3 -5 -5 -3 -1 -1 -0 3 6 8 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 4 3 1 -1 -0 1 4 6 8 9 nan
nan 0 2 3 5 5 5 5 3 -2 -6 -4 1 8 15 21 24 25 23 22 20 19 17 16 16 15 15 14 11 11 10 9 8 8 8 8 8 7 6 6 5 6 11 15 16 16 14 11 11 10 9 8 7 6 6 5 5 4 4 5 6 7 9 10 12 12 12 11 10 7 4 3 2 1 -1 -3 -4 -5 -2 2 6 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 4 4 4 5 6 8 9 9 9 nan
nan 5 5 6 8 8 7 6 4 -1 -5 -5 -3 3 10 16 18 18 18 19 20 21 20 19 18 17 16 13 12 12 10 9 8 7 7 7 6 5 5 5 5 7 11 14 16 16 14 12 11 10 8 7 7 6 6 6 5 4 4 5 5 6 8 11 12 12 11 11 11 10 9 9 9 8 5 2 0 -0 1 2 4 6 7 8 8 7 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 10 10 nan
nan 8 8 8 9 9 9 9 6 3 -1 -2 -1 3 8 12 14 13 14 16 19 21 21 21 20 19 17 14 12 11 10 8 7 7 8 8 7 7 6 6 6 9 11 13 16 17 15 13 11 9 8 8 7 7 8 8 7 7 7 7 7 7 9 11 11 11 11 11 11 10 11 12 11 10 9 7 7 6 5 3 2 1 1 0 -0 -0 -0 1 3 6 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 nan
nan 9 9 9 8 8 9 9 8 5 3 2 3 6 9 11 11 11 13 15 18 18 19 20 22 22 19 16 13 11 9 8 9 9 10 10 10 9 9 8 9 10 11 13 17 17 16 13 10 9 8 8 8 9 10 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 7 4 1 -3 -6 -8 -9 -7 -5 -3 0 3 5 5 6 7 7 8 8 8 8 9 9 10 11 12 13 14 14 14 12 11 10 10 nan
nan 10 9 8 7 8 9 9 8 6 4 4 6 7 8 9 8 9 11 14 15 15 17 20 23 24 23 20 17 13 11 10 11 11 12 12 11 10 9 10 11 12 12 14 16 16 16 13 10 9 9 9 9 10 11 12 13 13 12 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 8 5 1 -2 -5 -6 -6 -4 -3 -2 -2 -3 -3 -2 0 2 4 6 7 8 8 8 9 9 10 12 13 15 16 16 15 12 11 10 nan
nan 10 9 8 7 7 9 10 9 8 6 6 6 7 7 7 6 7 9 12 13 13 15 17 20 22 24 23 20 17 15 14 13 12 12 11 10 8 8 11 12 13 14 16 16 16 15 12 11 11 10 10 11 11 12 13 13 13 12 11 11 10 9 8 8 8 8 8 9 9 10 10 11 12 12 11 10 9 8 6 5 3 2 3 4 4 3 1 -2 -5 -7 -7 -5 -3 -2 1 3 5 7 8 8 9 9 10 12 14 16 17 16 15 12 11 nan
nan 10 9 8 8 8 9 9 9 9 8 8 8 8 7 6 5 6 8 10 11 12 13 14 15 18 21 23 21 19 17 16 15 14 13 12 10 8 9 10 12 14 16 17 17 17 15 13 12 12 11 11 11 12 12 12 12 12 11 11 10 10 9 8 8 8 8 8 8 9 9 10 11 12 12 12 11 9 8 8 7 7 8 8 8 7 7 4 2 0 -1 -2 -2 -3 -3 -3 -1 1 4 6 7 8 8 9 10 11 13 16 17 16 15 13 nan
nan 10 9 9 8 8 9 9 9 9 10 9 9 8 7 6 5 5 7 9 11 12 12 12 13 15 18 20 19 18 18 17 17 17 16 15 13 11 10 10 11 14 15 17 19 19 17 15 13 12 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 10 11 11 12 12 12 10 9 9 8 8 9 9 9 8 8 8 7 7 6 6 5 3 1 -1 -1 -0 2 4 6 7 7 7 8 9 10 13 15 16 15 15 nan
nan 9 9 9 9 9 9 8 8 9 9 9 9 8 7 5 5 6 7 9 10 11 11 12 13 16 18 18 17 17 17 18 18 18 18 17 15 14 13 11 12 13 15 17 19 19 18 16 14 12 11 12 12 12 11 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 6 5 4 4 4 5 5 5 5 6 6 7 8 9 11 12 13 13 nan
nan 9 9 9 9 9 9 8 8 8 9 9 9 8 6 5 5 6 8 9 9 8 8 10 13 16 17 17 16 15 16 17 17 17 17 16 16 15 14 14 14 15 16 17 18 18 17 16 14 12 12 12 12 12 11 11 12 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 6 5 3 2 3 3 4 5 6 7 8 8 9 10 nan
nan 9 9 9 9 9 9 9 8 8 8 9 9 8 7 5 5 6 8 9 8 6 6 8 11 13 14 14 14 13 13 14 14 14 14 14 14 15 15 15 15 16 17 18 18 18 18 16 14 13 12 12 12 12 12 13 13 12 11 10 9 7 7 8 8 8 9 9 9 9 9 9 9 10 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 8 5 2 0 0 1 2 2 3 4 5 6 7 7 8 nan
nan 10 10 9 9 9 9 8 8 8 8 9 9 9 8 6 5 6 8 9 8 6 6 7 8 10 10 10 10 10 10 11 12 12 12 12 12 12 13 13 14 15 16 17 18 19 19 17 16 14 13 12 13 13 13 14 14 13 11 10 8 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 9 9 7 5 4 3 3 3 3 3 4 4 5 6 7 7 8 nan
nan 11 11 11 10 10 9 9 8 8 8 8 9 8 8 7 7 8 8 9 8 7 6 6 7 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 12 14 16 18 19 20 19 18 16 14 14 14 13 14 15 15 13 12 9 8 8 9 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 10 10 10 9 8 8 8 8 8 7 7 7 6 6 6 7 8 8 9 nan
nan 12 12 12 12 12 11 10 9 8 8 8 8 8 9 9 10 10 10 9 8 7 6 6 6 6 6 7 7 7 6 7 7 8 9 9 10 10 10 9 9 10 12 14 16 18 19 20 20 18 16 15 14 14 15 15 14 14 13 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 12 12 12 11 10 9 9 9 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 8 8 9 9 10 10 nan
nan 12 12 13 13 13 13 12 11 10 8 8 9 9 10 11 12 12 11 10 9 8 7 6 6 5 5 6 6 6 5 4 4 4 5 7 8 9 10 9 9 9 10 12 14 16 18 19 20 19 18 18 16 15 15 14 14 15 15 14 14 14 13 13 12 11 10 10 10 9 9 9 8 7 7 7 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 nan
nan 11 12 12 13 14 14 14 13 11 10 10 11 12 12 12 12 12 11 10 10 9 8 8 7 6 5 5 6 5 4 3 2 2 3 3 5 7 8 9 9 9 10 11 12 14 15 17 18 18 18 18 18 17 17 16 16 16 16 15 15 15 15 14 13 13 12 11 10 10 9 9 8 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 nan
nan 10 10 11 12 12 13 13 13 12 12 13 14 14 14 13 12 11 11 11 11 11 10 10 10 8 7 7 7 6 6 4 4 3 3 3 3 4 5 7 9 10 10 10 11 12 13 14 15 16 16 16 17 18 18 18 17 16 16 15 15 15 14 14 14 13 12 11 10 9 9 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 9 9 10 10 nan
nan 10 10 10 10 10 11 11 11 11 12 13 14 14 14 13 12 12 12 12 12 12 11 11 11 10 9 9 9 8 8 8 7 6 5 5 4 4 4 5 7 9 10 10 10 11 12 12 13 14 15 15 16 17 17 18 17 16 15 14 14 14 13 13 13 13 12 11 10 9 9 9 9 9 10 10 11 10 9 9 8 9 9 9 10 10 10 10 11 10 10 9 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 10 10 nan
nan 10 10 10 10 10 10 9 9 10 11 12 13 13 13 13 13 14 14 14 14 14 13 12 12 12 12 11 11 10 10 9 9 8 8 7 7 5 4 4 6 8 9 10 10 11 11 12 12 13 14 14 14 15 16 16 15 14 13 13 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 11 10 10 8 8 8 9 9 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 9 10 10 10 11 11 11 11 12 13 13 14 15 15 15 15 14 13 13 13 13 13 12 11 10 9 8 9 9 9 7 6 5 5 6 8 9 9 10 11 12 12 12 13 13 13 13 14 14 13 12 11 11 11 11 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 9 8 8 9 10 11 11 11 11 11 11 10 9 8 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 14 14 14 14 14 14 13 12 11 10 9 9 10 10 9 8 7 6 6 6 7 8 9 11 11 12 12 12 13 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 12 13 13 13 12 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 nan
nan 10 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 12 13 13 13 13 13 13 13 14 14 14 13 12 11 11 11 11 11 10 9 8 8 7 7 7 8 10 11 11 11 13 15 16 15 14 13 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 14 13 12 11 10 9 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 nan
nan 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 12 11 11 11 10 10 9 9 10 10 10 11 13 16 17 18 17 16 14 12 12 12 12 12 12 11 11 11 10 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 11 10 9 9 9 9 9 10 10 10 9 9 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 13 12 12 11 11 11 11 10 11 12 13 15 18 18 17 16 15 15 14 13 12 12 12 12 12 12 11 12 13 13 13 13 12 12 12 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 11 10 9 9 10 12 14 15 15 15 15 14 13 13 13 14 15 15 14 13 13 13 13 12 12 12 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 nan
nan 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 9 8 8 8 9 9 9 9 9 10 10 10 11 13 15 17 16 15 13 12 11 11 11 11 10 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 12 11 11 11 10 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 7 6 6 5 5 5 6 6 7 10 14 15 14 13 12 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 nan
nan 10 10 10 10 10 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 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 6 5 4 4 3 3 3 5 8 10 12 14 13 13 12 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
12 8 6 7 12 24 58 110 168 218 247 242 197 163 142 142 167 212 261 311 346 352 327 248 175 140 138 149 166 159 148 133 109 70 29 13 20 40 57 60 70 56 40 45 75 123 148 124 127 245 326 349 387 371 295 280 330 318 320 367 402 292 326 346 303 281 303 263 235 223 207 187 179 166 148 125 99 71 53 44 42 43 51 67 97 136 179 225 256 260 246 220 199 182 151 120 90 69 50 33 18 10 7 5 4 3 3 2 2 2 2 1 1
6 2 0 1 2 6 41 91 148 200 234 239 207 177 162 170 201 249 294 329 347 344 319 271 232 215 212 199 204 197 186 170 140 91 47 22 18 35 69 69 70 72 72 74 92 117 122 109 111 145 134 212 308 335 319 357 369 374 364 314 395 331 274 279 272 229 225 208 188 181 177 163 149 133 114 88 67 49 38 35 39 43 57 77 100 126 149 169 176 168 150 131 126 119 106 91 68 47 31 18 9 5 4 4 3 2 2 2 2 1 1 1 1
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