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 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 12 12 11 10 10 10 10 10 9 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 8 9 12 12 10 9 8 7 7 8 10 14 18 21 20 15 10 7 6 6 7 7 7 7 7 7 6 7 6 6 6 6 6 6 5 4 4 4 5 6 7 8 7 7 5 4 4 5 7 8 8 8 8 9 8 7 7 7 8 6 4 2 3 6 7 8 10 11 10 8 7 6 5 4 4 5 6 7 7 7 8 9 10 11 10 10 8 7 6 5 3 3 4 6 8 9 9 8 6 4 3 4 6 8 8 7 5 4 3 4 4 4 4 4 4 5 6 7 7 8 9 9 9 9 8 8 7 nan
nan 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 10 12 12 11 9 8 8 10 14 19 24 25 23 18 13 9 6 5 5 5 6 6 7 7 7 7 6 5 4 4 5 6 6 6 6 5 5 6 7 8 8 7 6 5 4 4 6 7 8 9 8 9 9 8 6 6 7 7 5 3 2 2 4 6 8 9 9 8 6 6 6 6 6 6 7 7 7 7 7 8 9 11 12 12 11 9 8 7 5 4 4 5 7 8 9 9 8 6 4 2 3 6 7 7 6 4 3 4 4 4 4 4 4 5 6 6 7 8 8 8 8 8 8 8 7 7 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 10 9 9 8 8 7 7 7 7 7 7 8 8 9 11 12 11 10 10 11 15 22 28 29 26 21 16 11 8 6 5 5 5 5 6 7 8 8 7 5 3 2 2 4 6 7 7 7 7 7 8 9 9 9 7 6 4 4 5 6 8 9 9 9 9 8 7 6 6 7 6 5 4 4 3 3 5 8 10 9 6 4 5 6 7 8 8 8 8 8 7 7 8 9 11 12 13 12 10 8 7 6 5 4 5 7 8 8 8 6 4 2 1 3 5 7 6 5 4 4 5 6 6 5 4 4 5 6 7 8 8 9 9 8 8 8 7 7 7 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 9 8 8 8 8 7 7 7 7 7 9 9 9 9 10 11 12 14 18 22 26 28 26 22 18 14 11 8 6 6 5 5 5 6 7 8 7 6 4 1 -0 1 4 7 8 9 9 9 9 10 10 10 9 7 5 4 4 5 7 8 9 10 10 9 8 7 7 7 7 6 5 5 6 5 4 6 9 11 9 5 4 5 7 9 9 8 8 8 8 8 8 8 9 10 12 13 12 11 9 8 7 6 5 5 6 7 7 6 5 3 1 1 2 5 6 5 4 5 5 6 6 7 6 5 5 6 7 8 9 10 10 9 9 8 8 7 6 6 nan
nan 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 7 7 7 7 8 8 9 10 9 9 10 13 16 20 23 24 23 20 17 17 16 14 11 8 7 7 6 5 5 5 7 8 7 6 3 1 1 3 5 8 9 9 10 10 10 11 10 9 8 6 6 5 6 6 7 8 9 10 9 8 8 7 8 8 7 5 5 6 7 6 5 7 9 10 8 5 4 6 9 11 10 9 8 8 8 9 9 9 9 10 12 13 13 11 10 9 7 6 6 6 6 7 6 5 4 2 1 1 3 4 4 5 5 6 7 7 6 6 6 6 7 8 9 11 11 12 11 10 9 8 8 7 6 6 nan
nan 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 9 9 8 8 8 7 7 7 8 8 8 9 10 11 11 13 17 21 23 22 19 14 10 10 12 14 14 13 10 9 8 7 6 5 6 7 7 7 6 4 3 3 5 7 8 9 9 10 10 10 10 9 8 7 6 6 6 7 7 8 9 9 9 8 7 7 8 9 9 8 5 4 6 6 6 6 8 8 8 6 5 5 7 10 12 11 9 7 7 8 9 10 9 9 10 11 12 12 12 10 9 8 7 6 7 7 6 5 4 3 2 2 2 2 3 4 6 8 10 10 9 7 6 6 6 7 9 11 12 13 13 12 11 9 8 7 7 6 5 nan
nan 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 10 10 9 9 9 8 8 7 7 7 8 9 10 10 10 11 12 16 21 24 22 16 11 7 6 7 10 13 14 13 12 10 9 9 7 6 6 7 8 7 5 4 4 5 7 8 8 8 8 9 9 9 9 8 7 7 6 6 6 7 8 8 9 9 9 7 7 7 9 10 9 8 6 4 5 6 6 7 7 7 5 4 4 6 8 11 12 11 9 7 7 9 9 10 10 10 10 11 11 12 11 10 9 8 7 7 7 7 6 5 3 3 2 2 2 1 1 3 6 10 13 13 12 10 8 7 6 7 9 11 13 14 14 13 11 10 8 7 6 6 5 nan
nan 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 9 9 10 10 11 11 12 12 11 11 10 10 10 10 9 9 8 7 7 7 8 10 12 12 11 9 9 11 16 23 24 20 11 5 3 4 7 10 13 14 13 12 11 11 9 8 7 7 7 8 7 5 5 5 6 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 8 8 9 9 8 7 7 8 10 10 8 7 5 5 5 6 7 7 7 5 4 4 5 7 9 11 12 10 8 7 7 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 5 4 3 3 3 2 1 -0 -0 1 5 9 13 14 13 12 11 9 8 8 9 10 12 13 13 13 12 10 9 8 6 6 5 nan
nan 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 10 11 11 10 9 9 8 7 7 7 9 12 14 14 11 8 6 7 13 20 23 18 9 3 2 4 8 12 14 14 13 13 12 11 10 9 8 7 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 9 10 9 6 5 5 5 6 8 9 8 6 4 3 4 5 7 9 10 11 10 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 4 3 3 3 3 2 1 -1 -1 0 3 7 10 12 13 13 12 11 10 9 9 10 11 12 13 13 12 11 10 8 6 6 5 nan
nan 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 8 9 9 10 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 8 10 12 14 14 11 6 2 2 8 16 19 15 9 4 3 6 10 14 15 13 12 12 12 10 9 8 7 6 6 6 8 8 8 7 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 9 9 7 5 4 4 5 7 9 10 9 7 5 3 4 5 6 8 9 10 9 7 6 7 8 9 9 9 9 9 9 9 9 8 9 9 9 9 8 7 5 3 3 3 4 4 3 2 -0 -1 -0 2 4 8 10 11 11 11 11 11 10 10 10 11 12 12 12 12 11 9 8 7 6 6 nan
nan 7 7 7 7 8 8 8 9 9 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 8 10 13 15 14 10 5 0 -2 3 11 14 13 9 6 6 9 13 15 15 13 12 11 10 9 9 8 7 6 5 6 8 9 8 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 8 7 7 8 8 7 7 8 9 8 6 5 4 4 5 6 8 10 9 7 5 4 4 4 6 7 8 9 8 7 6 7 8 8 9 9 10 10 9 9 8 8 8 9 9 8 7 6 4 3 3 3 4 5 4 3 1 1 1 2 3 5 7 9 9 10 10 10 10 10 10 11 11 11 11 11 10 9 8 7 6 6 nan
nan 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 11 11 11 11 11 11 11 10 9 8 7 7 7 7 7 9 12 14 16 14 10 5 1 -0 3 8 11 10 7 7 9 12 14 15 14 12 11 9 8 7 7 7 7 6 5 5 7 9 8 7 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 8 7 7 7 8 7 7 8 8 8 6 5 5 5 5 6 8 9 8 7 5 3 4 4 5 6 8 9 8 7 6 7 8 9 9 10 10 10 9 9 8 8 8 8 8 7 6 5 4 3 3 4 5 6 5 4 3 3 3 3 2 4 6 7 7 8 8 9 9 10 10 10 11 11 10 10 9 8 8 7 6 6 nan
nan 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 11 11 12 11 10 10 11 11 11 10 9 8 7 7 7 7 7 8 11 14 16 16 13 10 7 6 6 8 10 11 8 7 7 10 13 15 14 13 11 9 7 5 5 5 6 6 5 4 5 6 7 7 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 7 8 8 7 6 4 3 3 4 4 6 7 8 8 7 7 7 8 9 10 11 11 11 10 9 8 8 7 7 7 7 6 5 4 4 4 5 6 6 5 5 5 5 5 4 3 3 5 5 5 5 6 7 8 9 9 10 10 10 9 9 9 8 8 7 7 6 nan
nan 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 11 12 11 11 10 10 11 11 11 10 9 8 7 6 6 7 7 8 12 15 16 14 11 10 10 10 12 14 14 12 8 7 8 11 13 14 12 11 9 7 5 3 3 3 5 5 4 4 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 7 8 8 8 7 6 6 6 6 6 6 6 7 8 8 7 5 3 2 3 4 5 6 7 8 7 7 8 8 9 10 11 11 11 11 10 9 8 8 7 7 7 7 7 6 5 4 4 5 6 6 6 6 6 7 6 5 5 5 5 4 4 4 4 5 7 8 9 9 9 9 9 9 9 8 8 8 7 7 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 12 12 11 11 10 10 10 11 11 11 10 9 7 6 6 6 6 7 8 10 13 13 11 9 10 12 14 16 17 14 10 8 7 8 11 12 12 9 8 7 7 5 3 2 2 3 4 3 4 4 5 5 6 6 6 6 7 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 6 6 7 8 7 7 6 5 5 5 5 5 6 7 8 8 6 4 3 2 3 4 5 6 7 7 7 7 8 9 10 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 6 5 5 5 5 5 6 7 8 8 8 7 7 6 6 5 3 3 3 4 5 7 8 8 9 9 8 8 8 8 8 8 7 7 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 12 11 11 10 10 10 11 11 11 9 8 7 6 6 6 6 7 7 8 9 10 9 9 11 14 18 18 16 11 7 6 8 9 11 11 9 7 6 6 7 7 5 3 3 2 3 3 4 4 5 5 5 6 6 7 6 6 5 5 6 6 7 8 9 9 9 8 7 7 7 8 8 7 7 7 7 6 6 5 5 5 5 5 7 8 8 7 5 4 3 3 4 5 5 6 6 6 6 7 8 9 11 11 11 11 10 9 8 8 8 8 8 7 7 8 8 7 7 7 6 5 5 5 6 8 8 8 8 8 8 8 7 5 4 2 2 3 4 5 6 7 8 8 8 8 8 8 8 8 8 7 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 11 11 10 10 10 11 11 10 9 7 6 6 6 6 7 7 6 6 8 9 9 11 14 18 20 18 12 7 5 6 8 10 11 10 7 5 5 7 8 8 7 5 4 3 3 4 4 5 5 5 6 6 7 7 6 5 5 5 6 7 8 9 10 10 9 8 7 5 6 9 11 11 9 8 7 6 6 6 5 5 5 6 10 11 9 6 4 4 4 4 5 5 6 5 5 5 5 6 7 9 11 11 11 11 9 8 7 7 7 8 7 7 7 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 7 6 4 3 3 3 3 5 6 7 8 8 8 8 8 8 8 8 8 7 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 12 13 14 14 13 12 11 11 11 11 11 11 10 8 7 6 5 6 6 7 7 6 6 7 9 10 11 15 19 18 13 8 4 5 7 9 10 10 9 6 6 7 8 9 9 8 7 6 5 4 4 5 5 5 6 6 7 7 7 6 5 5 5 6 8 9 10 11 11 10 9 8 6 7 10 14 14 11 9 7 7 7 6 5 5 6 8 11 12 9 6 4 4 4 4 5 6 6 6 5 5 5 5 6 8 10 11 11 10 9 8 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 8 9 10 9 9 9 10 10 9 8 7 5 4 3 3 3 4 5 7 8 9 9 9 8 8 8 8 8 8 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 13 14 14 14 13 12 12 11 11 11 10 10 9 8 6 5 5 6 7 7 7 7 7 8 9 10 11 15 17 14 8 4 3 6 8 10 10 10 9 8 7 8 9 9 9 9 8 7 6 6 6 6 6 6 7 7 8 8 7 6 5 5 5 6 7 9 10 11 12 12 11 10 9 10 12 14 14 11 9 7 7 7 7 7 7 8 9 10 10 8 5 4 4 4 4 5 6 6 6 5 5 5 5 5 6 8 9 9 9 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 9 12 12 12 11 10 10 10 9 8 7 6 5 4 4 4 4 6 7 8 9 9 9 8 8 8 8 8 8 nan
nan 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 14 13 12 11 12 13 14 14 14 14 15 15 14 13 12 12 12 11 10 10 9 7 6 5 5 7 8 8 7 7 7 7 8 9 11 13 14 11 5 2 4 7 9 10 11 10 10 9 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 7 6 5 5 5 5 6 7 9 11 12 13 13 11 10 10 12 13 12 10 8 7 7 7 7 8 9 10 10 9 7 5 4 4 4 4 4 5 6 6 6 5 5 5 4 5 5 6 7 8 7 7 6 6 6 6 7 7 7 8 8 8 7 7 8 7 6 6 9 12 13 14 13 12 11 10 9 8 8 7 6 5 4 4 5 6 7 9 9 9 9 8 8 8 8 8 8 nan
nan 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 14 14 13 11 11 13 15 16 16 15 15 15 15 15 14 13 13 12 11 10 9 8 7 6 5 6 7 9 8 7 6 7 7 7 8 9 12 13 10 5 4 5 8 10 11 11 11 10 9 8 7 8 8 8 8 9 9 10 9 9 8 7 7 7 7 7 7 7 6 5 5 5 5 5 6 9 11 12 12 12 11 9 9 9 10 9 8 7 7 6 6 6 7 10 11 10 7 5 4 4 4 4 4 4 5 6 5 5 5 4 4 4 4 5 6 7 7 6 6 6 6 7 7 8 8 9 8 8 7 6 6 6 5 4 5 7 10 12 13 14 13 12 11 10 9 9 9 8 6 5 5 6 7 8 9 9 9 9 8 8 8 8 8 8 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 13 13 13 14 13 12 11 12 15 17 17 17 16 15 16 16 15 14 14 13 12 11 10 9 7 6 5 5 6 7 7 7 6 6 7 8 8 7 7 9 11 10 7 6 7 8 10 11 11 11 10 8 7 6 6 7 7 8 9 10 10 10 9 8 6 6 6 6 6 6 6 6 6 6 5 5 5 6 8 10 11 11 10 9 8 9 9 8 7 6 6 6 5 5 4 5 7 8 7 6 5 5 4 5 5 5 5 6 5 5 4 4 4 4 4 4 5 6 7 6 6 6 6 7 7 8 9 9 9 9 8 6 5 5 4 3 3 3 5 8 9 11 12 13 12 11 11 10 10 10 9 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 13 13 14 13 12 12 14 17 18 18 17 16 16 16 16 15 14 14 13 12 11 9 8 7 6 5 5 6 6 5 5 6 7 9 10 8 6 5 7 10 11 8 7 7 8 10 11 12 11 10 8 6 5 5 6 7 8 9 10 11 10 9 7 6 5 5 5 5 6 6 6 7 7 7 6 6 6 7 9 9 9 8 8 8 9 10 9 8 6 6 5 5 4 4 3 4 4 5 6 6 5 4 5 5 6 7 6 5 4 3 3 3 3 4 4 5 6 7 6 6 6 7 8 9 9 9 9 10 9 8 7 7 6 5 4 4 4 6 8 8 9 10 11 12 12 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 14 13 12 13 16 18 18 18 17 17 16 16 16 15 14 13 13 12 10 9 8 6 6 5 5 6 5 5 5 6 8 11 12 11 9 8 8 10 11 9 7 7 8 10 11 12 11 9 7 5 5 5 6 7 8 9 10 10 10 9 8 6 5 5 5 5 6 7 8 8 9 8 7 6 6 6 7 8 8 7 7 9 10 11 11 9 7 6 7 7 7 6 4 2 2 4 6 6 5 4 4 5 7 8 7 6 4 2 3 3 4 4 4 5 6 7 7 7 7 9 10 10 10 9 9 9 9 9 11 12 11 9 7 7 7 8 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 12 12 13 13 13 13 15 17 18 18 19 18 18 17 16 15 15 14 13 12 11 10 8 7 6 5 5 5 5 5 5 5 7 9 12 15 16 16 15 13 11 10 9 7 7 9 10 11 11 10 8 7 6 5 5 6 7 7 8 9 9 10 9 8 7 6 5 5 5 6 7 8 10 10 9 8 7 6 6 6 7 7 8 9 11 12 12 11 10 9 8 10 11 11 10 6 2 2 4 5 5 4 3 4 5 7 9 9 8 5 4 4 6 7 7 6 6 6 6 6 7 8 9 10 11 10 9 8 6 7 10 14 16 16 14 11 11 11 11 11 10 9 9 9 10 11 11 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 12 12 13 14 14 15 17 18 19 19 19 19 18 16 15 14 13 12 11 10 9 8 6 5 5 4 4 4 4 5 6 7 9 13 16 19 21 19 15 12 9 8 7 8 9 10 11 10 10 8 7 6 6 6 6 7 7 7 8 8 9 9 9 8 7 6 5 5 6 7 8 10 10 10 9 7 6 6 6 6 7 9 11 12 12 11 10 10 11 11 13 14 14 11 7 3 3 4 5 5 4 4 5 6 7 9 11 11 10 8 8 10 12 11 8 7 6 6 6 7 8 9 10 10 9 8 6 4 4 7 12 16 17 16 14 13 13 13 13 11 10 10 10 11 11 11 10 10 9 9 10 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 nan
nan 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 12 13 14 14 15 17 19 19 20 20 20 18 16 14 13 12 12 11 9 8 7 6 5 4 3 3 3 5 7 8 8 8 10 13 16 18 18 14 11 8 7 7 8 9 10 10 9 9 8 7 6 6 6 7 7 6 7 7 8 9 9 9 9 8 7 7 6 7 7 8 9 10 10 9 8 7 6 6 7 8 10 12 12 10 9 10 11 13 14 14 13 11 8 5 3 3 4 4 4 5 5 6 6 6 8 11 13 12 10 11 14 16 14 11 8 8 7 7 7 8 9 10 9 8 7 4 2 2 4 8 11 14 15 15 15 15 14 12 11 11 11 12 13 13 12 11 10 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 nan
nan 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 13 14 15 16 17 19 20 21 22 21 19 16 14 12 12 11 10 9 7 6 5 4 4 3 3 3 6 8 9 8 7 7 9 11 12 13 12 9 7 7 7 8 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 9 8 7 9 12 14 14 12 9 5 3 2 2 3 3 3 4 5 6 6 5 5 6 9 10 10 9 11 14 16 15 12 9 9 8 8 8 8 8 8 8 7 6 3 1 1 3 5 8 10 13 15 16 15 13 10 10 10 12 13 14 14 13 12 10 10 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 8 8 nan
nan 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 14 15 15 16 18 20 21 23 23 22 19 16 14 12 11 10 9 8 7 6 5 5 5 4 4 4 6 8 9 8 7 8 10 11 11 11 9 7 6 7 8 8 9 9 9 9 9 9 7 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 8 10 12 11 7 3 0 0 1 2 2 2 2 3 4 6 6 5 4 5 7 7 7 7 9 13 14 13 10 9 8 8 8 8 9 9 8 7 6 5 3 1 1 2 4 6 8 12 15 16 14 9 7 8 10 12 14 14 14 14 13 12 11 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 8 nan
nan 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 10 10 11 11 13 14 15 15 16 18 21 22 23 23 21 19 16 14 12 11 10 9 8 7 6 6 5 6 6 6 6 7 7 7 7 8 13 17 17 13 9 6 4 4 6 9 10 10 9 10 10 10 9 8 7 6 6 6 6 6 6 6 7 7 7 8 9 10 10 10 10 9 8 7 7 6 6 6 7 8 9 9 9 9 8 7 6 6 5 6 7 8 6 3 -0 -1 1 3 3 2 2 2 3 4 5 6 6 6 6 6 6 6 6 8 11 12 10 8 6 6 7 7 9 10 9 7 6 6 5 3 1 0 2 4 6 8 11 14 14 10 5 5 8 11 13 14 15 15 15 15 13 12 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 nan
nan 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 8 9 10 10 10 11 12 13 14 15 15 17 19 21 22 22 22 20 17 15 13 12 11 10 10 8 7 6 6 5 6 7 8 8 7 5 4 5 9 17 22 21 15 8 3 1 2 6 9 10 11 11 12 12 11 10 9 7 6 6 6 6 7 7 7 7 7 7 8 9 9 10 10 10 9 9 7 6 5 4 4 5 7 8 9 9 9 8 8 8 8 6 5 4 4 3 2 1 2 4 5 4 4 4 5 5 6 6 6 7 8 7 6 6 6 6 8 10 10 9 6 4 4 5 7 8 10 10 8 7 6 5 3 0 -1 1 4 7 10 12 13 9 5 3 5 9 12 14 15 15 15 16 16 15 14 12 12 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 nan
nan 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 11 13 14 15 16 16 17 19 21 21 21 19 17 15 13 11 10 10 10 9 8 6 6 5 4 5 7 9 9 8 5 2 4 9 17 22 21 14 7 2 1 2 6 9 11 12 13 14 13 12 10 9 7 6 6 7 8 8 8 7 7 7 7 8 8 9 9 9 10 10 9 7 5 4 4 4 5 6 8 9 9 9 9 9 9 9 7 5 3 2 3 3 4 5 7 7 7 7 7 7 8 8 7 6 6 7 7 7 8 8 7 8 10 10 9 7 5 5 5 6 8 10 11 9 8 6 5 2 -0 -1 1 5 9 13 14 11 5 1 2 5 9 13 15 15 16 16 16 16 16 15 14 13 12 11 11 11 11 11 10 9 9 9 9 9 9 9 8 nan
nan 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 12 14 16 17 17 17 18 19 20 20 19 17 15 13 12 10 10 9 9 8 7 6 5 3 3 3 5 8 9 8 5 3 4 7 12 15 14 11 6 3 3 5 8 11 13 14 15 14 13 12 10 8 7 6 6 7 9 10 9 8 7 7 7 7 7 8 8 8 9 9 9 7 6 4 4 5 6 7 8 9 9 9 9 9 9 8 7 5 3 3 4 6 7 9 9 9 9 8 8 8 8 9 8 6 4 5 6 8 9 9 9 10 10 11 10 10 8 6 5 6 8 10 10 9 7 6 5 3 1 1 2 6 11 15 14 9 3 1 3 6 10 13 15 16 16 16 16 16 17 16 15 14 13 12 12 12 12 12 11 11 10 10 10 10 10 10 9 nan
nan 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 12 13 15 17 20 20 19 18 18 18 17 16 15 13 12 11 10 9 8 6 5 5 5 4 2 1 1 3 6 8 7 5 3 3 4 5 5 4 5 6 6 7 10 13 14 14 14 14 13 12 10 9 8 8 7 7 8 9 10 10 8 7 6 6 6 6 7 7 7 8 8 8 7 6 5 5 7 8 8 9 9 9 8 7 6 6 6 5 4 3 4 6 8 10 11 11 10 9 8 8 8 9 10 9 7 5 4 6 8 9 9 10 10 10 11 12 12 11 8 5 5 7 8 9 8 7 7 6 5 4 3 4 6 10 12 10 6 2 2 4 7 10 13 15 16 17 17 16 17 17 17 16 15 14 14 14 14 14 13 13 12 12 11 11 11 10 10 10 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 13 14 16 19 23 23 21 19 17 16 15 13 12 11 10 9 9 7 5 3 3 4 5 4 3 1 1 3 5 7 7 5 4 4 3 2 1 0 3 7 10 12 15 16 15 13 11 11 11 10 9 9 8 8 7 7 8 9 10 9 8 7 6 5 6 6 6 6 7 7 7 7 7 7 6 7 9 9 9 9 9 8 6 4 3 4 5 5 4 5 6 8 9 10 10 10 9 9 9 9 10 10 11 11 9 7 6 7 9 9 9 9 10 9 10 11 13 12 8 5 5 5 6 6 7 8 8 8 8 7 5 5 7 9 9 6 3 2 3 5 8 11 13 15 17 18 18 18 18 18 17 17 15 15 14 14 14 14 14 14 13 13 12 12 11 11 11 10 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 12 14 16 18 20 22 23 21 19 16 14 12 10 8 6 5 5 5 5 4 3 4 5 6 6 5 5 5 5 6 8 8 8 7 9 10 9 7 6 8 12 15 16 17 16 14 12 10 10 9 9 9 8 8 7 7 7 8 8 9 9 8 8 7 6 6 6 6 6 5 5 5 5 6 6 7 8 9 9 8 7 7 6 4 2 2 3 5 5 5 6 7 8 9 9 8 7 7 8 8 9 10 10 11 12 11 9 9 9 10 11 10 9 9 9 9 10 11 12 10 8 6 4 4 5 6 8 9 10 10 9 7 7 9 10 8 5 1 1 3 5 8 11 13 15 17 18 19 19 18 18 17 15 15 14 13 13 13 13 13 13 13 13 12 12 11 11 11 10 nan
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nan 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 11 11 10 11 11 11 12 12 12 11 10 10 9 9 9 10 12 12 11 11 10 10 11 11 12 11 11 11 10 9 8 7 7 7 7 7 6 6 6 6 6 7 7 8 9 10 10 9 8 7 7 7 8 8 8 9 10 11 11 10 9 8 8 9 10 11 11 11 11 9 6 3 4 7 11 12 12 10 10 11 12 13 14 14 14 13 13 12 12 11 10 11 13 17 22 25 26 27 27 25 21 17 14 12 11 10 9 9 8 8 8 9 9 9 9 10 10 11 10 10 7 7 8 9 10 11 9 8 8 11 16 20 24 25 25 22 18 14 12 11 11 10 9 8 7 7 6 6 5 5 4 3 3 2 2 2 2 2 2 3 4 5 6 7 7 8 9 9 9 9 10 nan
nan 11 10 10 11 11 12 14 14 13 12 11 9 9 9 9 10 11 12 12 11 10 10 11 11 11 10 10 10 11 11 11 10 9 9 10 12 13 12 12 12 12 13 14 14 14 13 13 12 11 9 8 7 7 7 7 7 7 6 6 6 7 8 9 9 10 10 9 8 8 8 8 8 7 8 8 10 10 10 8 7 7 8 9 10 10 10 10 8 5 3 4 9 13 14 12 10 9 10 11 11 12 13 13 13 14 14 14 15 16 18 19 21 22 23 23 22 21 20 17 15 14 13 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 9 7 7 9 12 13 14 11 9 9 14 21 24 24 22 20 18 16 14 14 13 12 11 10 9 8 7 7 6 5 5 4 4 3 3 3 2 2 3 3 4 5 6 7 8 9 9 9 10 10 10 10 nan
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nan 10 8 6 5 5 7 9 11 12 11 10 9 8 7 6 6 6 8 8 8 9 9 10 10 10 10 10 10 11 12 12 12 11 10 11 13 16 19 20 19 17 15 13 13 13 14 15 15 16 14 12 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 8 8 9 9 9 9 8 8 6 5 4 3 4 4 5 6 7 7 7 7 7 8 9 11 12 13 12 11 11 11 11 11 12 13 14 15 17 17 18 17 16 14 14 14 15 16 16 16 16 15 15 15 15 15 15 14 13 12 12 11 11 11 11 11 11 11 11 12 12 14 15 16 16 16 14 11 10 14 20 26 29 28 23 18 16 17 18 18 17 16 13 11 10 10 9 9 8 7 7 6 5 5 4 3 3 3 3 4 5 6 7 8 9 10 10 10 10 10 10 9 nan
nan 9 8 6 5 5 6 7 8 8 8 7 6 5 4 4 4 5 6 7 8 8 9 9 10 10 10 11 12 12 13 13 13 12 12 11 12 15 18 21 22 21 18 15 12 12 12 13 14 16 17 16 14 13 13 13 13 12 12 11 11 11 11 11 11 11 10 9 9 9 8 8 8 9 9 9 9 8 6 5 4 3 3 3 3 4 4 6 6 7 8 8 9 10 11 11 11 11 11 12 12 12 13 13 14 15 16 16 15 13 12 11 12 13 14 15 16 16 16 16 16 16 16 15 15 14 14 14 13 13 12 12 12 12 12 12 12 13 14 15 16 16 16 16 15 14 15 20 24 27 28 26 21 18 18 19 21 21 20 18 15 13 11 11 10 10 9 8 7 6 6 5 4 3 3 3 3 4 5 6 7 8 9 10 10 10 10 10 9 9 nan
nan 10 9 8 7 6 6 7 7 6 5 4 4 3 3 3 4 5 6 7 8 8 9 9 10 10 11 11 12 13 13 13 13 13 14 13 12 12 14 17 20 22 22 20 16 14 13 13 13 15 17 18 18 18 17 17 17 16 15 14 13 13 13 13 13 12 11 11 11 11 11 10 9 9 9 10 10 9 7 6 5 4 4 3 2 3 4 5 6 6 7 8 8 9 9 10 10 11 12 13 13 14 15 15 14 14 14 13 12 10 9 9 10 12 13 15 16 16 16 16 16 15 15 14 14 14 14 14 14 14 13 13 13 13 13 13 14 14 15 15 15 15 15 15 15 16 19 22 24 25 24 22 19 18 19 20 22 23 22 19 17 14 13 12 11 10 9 8 7 6 5 4 4 3 3 3 4 5 6 7 8 8 9 10 10 10 10 9 9 9 nan
nan 11 11 10 9 8 7 7 7 6 5 4 4 4 4 4 5 6 7 8 9 10 9 9 9 9 10 11 11 12 12 13 13 14 15 15 14 11 11 12 15 20 23 23 22 19 16 15 14 14 15 17 17 18 18 18 18 18 18 17 16 15 15 14 14 13 12 10 10 11 12 12 12 12 11 10 10 9 8 7 6 5 5 4 3 4 4 5 6 6 7 7 8 8 9 9 10 11 12 13 14 15 15 15 14 13 12 10 9 7 6 7 9 11 12 14 15 16 16 15 15 14 13 13 12 12 13 13 13 14 13 13 13 13 13 13 13 13 13 14 13 13 13 13 13 14 16 18 19 20 19 18 16 16 18 19 21 22 22 20 18 16 14 12 11 10 8 7 7 6 5 4 3 3 3 4 5 6 7 7 8 9 10 10 10 10 10 9 9 8 nan
nan 12 12 12 11 10 9 8 8 7 7 6 6 6 6 6 7 8 9 10 11 10 9 8 8 8 9 10 11 11 11 12 12 13 14 15 14 11 9 9 11 15 20 22 23 22 19 17 15 14 14 15 14 15 15 16 17 18 18 17 17 17 16 16 15 14 12 10 9 10 12 14 15 15 15 13 12 10 9 8 7 6 6 5 5 6 6 6 6 6 7 7 8 8 9 9 10 12 13 13 14 15 15 15 13 11 9 7 6 4 4 5 8 10 11 12 14 14 15 14 14 13 12 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 11 12 14 15 15 15 14 14 14 15 17 19 20 20 19 17 15 12 11 9 8 7 6 5 4 4 3 3 4 5 6 7 7 8 8 9 9 10 10 10 10 9 8 8 nan
nan 12 12 12 12 12 11 11 10 10 10 9 8 8 8 8 8 9 10 11 11 10 9 8 8 8 9 10 10 10 10 10 11 12 13 13 12 10 8 8 9 11 14 17 19 19 18 17 16 15 15 14 13 12 13 14 15 16 17 17 17 17 17 17 17 17 16 14 13 13 13 14 16 17 18 17 16 14 12 10 9 8 7 7 8 8 8 7 7 6 7 7 7 8 9 10 11 12 13 13 13 14 15 14 12 9 7 5 3 2 3 5 7 9 10 12 13 13 13 14 13 13 12 11 11 10 9 9 9 10 10 10 9 9 8 7 7 7 8 8 9 9 8 8 7 7 7 8 9 11 11 11 11 10 10 10 12 15 17 18 18 17 15 12 10 8 7 6 5 4 4 4 4 4 5 6 6 7 8 8 8 9 9 10 10 10 9 9 8 8 nan
nan 9 10 10 11 13 14 13 13 12 12 11 10 9 9 9 9 10 10 11 11 11 10 10 10 10 9 10 10 10 10 10 11 11 11 10 9 8 7 7 7 8 10 12 13 14 15 16 16 15 15 13 12 11 12 13 14 15 16 17 17 18 19 19 20 20 20 20 20 18 17 16 16 18 20 21 21 19 17 15 14 12 11 10 11 12 11 9 7 7 7 7 7 7 8 10 11 12 12 11 12 13 14 13 11 8 6 3 1 2 3 5 7 9 10 11 12 12 12 12 13 13 12 11 10 9 8 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 7 7 7 7 7 8 8 7 7 6 6 8 10 13 15 16 16 15 13 11 9 7 6 5 5 5 5 5 5 5 6 6 7 7 8 8 9 9 10 10 10 10 9 9 8 8 nan
nan 8 8 9 10 12 14 14 14 13 12 11 10 10 10 9 9 9 9 9 10 11 12 12 12 11 9 9 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 8 9 10 12 13 14 14 13 12 11 11 12 13 14 15 16 17 18 19 20 20 20 21 21 22 23 22 20 18 17 17 20 22 22 22 22 21 20 19 17 16 16 16 15 12 9 7 7 7 7 7 8 9 10 11 11 10 11 12 13 12 10 7 5 3 1 3 5 7 8 10 11 11 11 11 11 11 11 11 11 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 6 5 5 5 6 8 11 14 15 15 14 13 13 11 10 8 6 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 10 10 10 10 9 9 8 8 nan
nan 8 8 8 9 11 12 13 13 12 10 9 9 10 9 9 8 8 8 9 10 11 12 12 11 10 9 8 9 9 10 10 10 10 9 8 8 8 9 9 9 8 7 7 7 8 10 11 11 11 11 10 10 11 12 13 14 15 17 19 19 18 18 16 15 16 17 18 19 20 19 18 17 17 18 20 21 22 23 24 25 25 24 24 23 22 20 16 12 10 8 7 7 7 8 9 9 10 10 10 11 11 11 10 8 6 4 2 1 4 7 9 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 8 8 8 7 7 8 8 9 9 9 8 8 8 9 9 10 11 12 12 12 10 8 7 7 9 11 14 17 19 19 17 15 13 11 11 10 8 7 6 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 10 10 9 9 8 8 8 nan
nan 10 9 8 9 10 11 12 12 11 9 9 9 9 10 9 8 7 8 8 9 10 11 10 10 9 8 8 8 8 8 8 8 8 7 7 8 9 10 11 11 9 7 6 6 7 7 8 9 9 9 9 10 11 12 14 15 16 18 18 17 15 12 10 9 9 11 13 14 15 16 16 16 16 16 18 19 20 21 24 25 26 27 28 28 27 24 21 17 13 11 9 8 8 9 9 9 9 10 11 11 11 10 8 7 5 3 1 2 5 9 11 11 10 9 9 10 9 9 8 6 5 4 5 7 8 9 9 9 8 9 9 9 9 9 9 9 8 8 7 8 8 9 11 12 13 13 12 12 13 16 19 22 24 25 23 20 16 13 11 10 9 8 8 6 6 5 5 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 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 2 2 3 3 3 2 4 4 6 7 8 8 8 8 9 9 10 10 10 10 9 8 7 7 6 5 6 6 5 4 4 5 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 5 34 105 214 321 412 515 607 641 622 584 558 561 610 699 789 797 763 714 675 665 676 686 690 700 722 800 944 1143 1331 1485 1631 1808 2036 2262 2431 2558 2665 2732 2743 2694 2610 2536 2499 2510
0 0 0 0 0 0 0 0 0 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 2 2 3 4 6 8 9 10 10 10 10 9 10 11 11 11 10 8 6 6 7 5 5 6 5 4 4 4 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 1 15 70 179 309 431 539 615 639 620 584 555 553 598 690 774 781 741 697 661 646 656 674 694 722 760 849 989 1168 1364 1524 1667 1868 2151 2405 2566 2647 2687 2722 2741 2711 2643 2576 2546 2559
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