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 7 8 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 8 8 8 8 7 7 6 6 7 8 9 9 10 10 10 11 12 14 15 17 17 17 17 16 16 15 15 15 15 15 14 13 12 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 12 13 15 16 17 18 19 19 17 16 15 13 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 nan
nan 8 9 10 9 9 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 10 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 8 8 8 8 8 8 8 8 7 6 7 8 8 9 10 10 11 11 12 13 15 16 17 18 18 17 17 16 15 14 14 14 14 14 14 13 12 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 9 10 11 12 14 14 14 15 16 17 19 20 20 19 17 16 14 12 11 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 nan
nan 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 7 6 7 8 9 10 10 11 13 13 14 15 15 15 15 15 15 15 14 13 11 10 9 10 10 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 10 11 12 13 13 13 13 14 15 18 20 20 19 17 16 15 13 12 11 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 nan
nan 10 10 9 8 8 7 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 8 9 9 9 9 8 7 7 8 8 8 9 8 8 7 7 8 8 9 10 12 13 13 14 14 13 12 10 10 10 10 9 8 7 6 5 6 6 7 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 10 10 11 11 11 12 13 15 18 19 18 17 16 16 15 14 13 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 9 8 7 7 7 7 7 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 8 8 8 7 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 9 9 9 8 7 7 7 8 9 9 9 9 9 8 7 6 6 7 10 12 12 11 10 9 8 6 5 4 5 6 6 5 5 4 4 4 5 6 6 7 7 8 8 8 8 9 9 10 11 11 12 12 12 11 11 11 11 10 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 8 9 9 9 9 10 11 13 15 17 18 18 18 17 16 16 14 13 12 11 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 nan
nan 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 10 9 8 7 8 8 8 8 8 8 8 9 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 8 7 5 3 4 7 8 8 7 5 3 2 1 2 2 3 5 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 11 11 10 10 9 9 8 8 10 12 15 17 19 20 19 18 17 15 14 14 14 15 15 15 15 14 13 12 11 9 8 8 9 9 9 9 9 9 9 nan
nan 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 10 11 10 9 8 8 8 8 8 9 9 9 9 8 8 7 6 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 7 5 3 2 2 3 3 2 0 -1 -1 0 2 3 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 13 13 13 13 13 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 13 13 12 12 11 11 10 8 7 7 8 11 14 17 18 18 18 17 16 15 15 16 18 20 21 20 19 18 17 14 12 11 10 9 9 9 9 9 9 9 nan
nan 9 10 9 8 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 9 9 9 8 7 6 6 6 6 6 7 7 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 8 9 9 9 9 8 7 7 6 4 2 1 0 -0 -1 -2 -2 -0 2 4 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 12 12 13 13 13 14 14 13 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 12 12 11 10 8 7 6 7 9 11 13 14 15 15 15 15 15 17 18 20 21 22 21 21 20 18 17 15 13 12 10 10 9 9 9 9 nan
nan 10 11 10 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 8 9 10 9 9 8 9 9 9 8 8 7 8 9 9 9 9 9 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 9 9 9 9 9 8 7 6 6 6 6 5 4 2 1 -1 -3 -2 1 3 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 11 11 11 10 9 8 8 8 9 10 11 12 13 14 14 15 16 17 18 19 20 20 20 20 20 19 18 16 14 13 11 10 9 9 nan
nan 10 10 10 8 6 6 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 8 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 10 10 9 9 8 7 6 6 6 6 6 6 7 6 4 1 -2 -2 1 3 4 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 9 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 10 10 11 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 11 12 12 13 14 14 15 16 17 18 18 19 21 22 22 21 20 19 16 13 12 11 nan
nan 9 8 7 7 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 7 6 6 7 7 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 7 6 6 7 8 9 9 9 10 10 9 9 7 6 5 5 5 6 7 7 7 8 7 4 1 1 1 2 2 3 3 4 4 5 5 5 5 5 5 5 6 7 8 9 10 10 10 10 10 10 9 9 8 8 7 7 6 6 7 7 8 8 9 9 10 11 11 11 11 11 11 10 9 9 8 8 8 9 10 10 9 8 8 7 8 9 10 12 13 12 12 10 9 8 8 9 10 10 11 12 13 14 14 15 15 15 17 19 21 23 23 24 24 22 20 17 15 nan
nan 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 8 7 6 5 5 5 6 7 7 7 8 8 7 6 4 3 1 1 2 2 3 3 3 3 4 4 4 5 5 6 7 9 9 10 10 10 10 9 9 9 8 8 7 6 6 5 5 5 5 5 6 6 7 7 8 9 9 10 10 11 11 11 10 9 9 8 9 10 9 8 7 6 5 5 6 7 8 10 12 12 12 11 9 9 8 8 8 9 10 11 12 12 12 12 13 13 15 17 18 21 23 25 26 26 23 21 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 9 8 7 5 5 5 5 6 6 7 7 8 8 8 8 8 7 5 3 1 1 2 2 2 2 2 3 4 4 5 6 7 8 9 10 10 10 9 9 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 8 9 9 10 10 10 9 9 9 10 10 9 8 7 6 5 5 5 6 7 8 9 10 10 10 9 8 8 7 7 8 9 9 10 10 11 11 11 11 12 13 15 18 21 25 27 27 25 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 8 10 10 9 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 7 5 5 5 6 6 7 7 7 8 8 8 8 8 8 7 6 4 2 1 -0 -1 0 2 4 5 5 5 6 8 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 8 8 8 9 10 10 10 9 8 8 7 6 5 5 5 6 6 7 8 8 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 9 10 12 15 19 22 24 26 nan
nan 10 9 8 8 7 7 7 8 7 7 7 7 7 7 7 7 9 11 10 8 7 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 8 9 9 9 8 8 7 7 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 6 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 6 4 1 -2 -3 -1 2 4 5 5 6 8 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 6 6 5 5 4 4 4 4 4 4 5 5 5 6 7 9 10 10 9 9 8 8 7 6 5 5 5 5 6 7 8 9 9 8 8 7 6 6 7 8 8 9 10 10 10 10 9 9 10 12 15 18 21 nan
nan 10 9 8 7 8 8 8 8 8 7 7 7 7 7 7 8 10 11 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 9 9 9 8 8 7 6 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 7 5 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 6 2 -3 -4 -1 3 5 6 6 7 9 9 9 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 6 5 5 5 4 4 3 3 3 3 3 4 5 6 7 8 8 8 9 9 9 9 7 6 5 5 5 6 7 8 8 8 8 8 7 6 7 7 8 8 9 10 11 11 11 10 10 10 10 12 14 nan
nan 9 8 7 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 9 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 7 7 8 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 6 5 5 5 5 6 6 7 8 8 7 7 7 7 7 7 7 7 8 7 3 -1 -3 -1 4 6 6 7 8 10 9 8 7 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 5 6 7 7 8 9 10 10 9 8 7 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 11 12 12 12 12 12 11 11 11 nan
nan 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 10 10 9 8 8 7 7 7 7 7 7 8 8 8 7 7 8 10 9 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 7 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 6 5 5 5 5 6 7 8 9 8 7 7 7 7 7 6 6 7 7 7 5 2 -0 1 5 7 7 8 10 11 9 7 5 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 9 10 10 10 9 8 7 7 7 7 8 8 8 9 10 11 11 11 11 10 10 10 10 11 12 13 13 14 14 14 13 nan
nan 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 7 6 5 5 5 5 6 8 9 9 8 8 7 7 8 7 7 7 7 7 7 6 5 3 4 6 7 8 10 12 12 9 6 3 3 3 3 4 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 10 10 9 9 8 8 8 7 7 7 7 9 11 12 12 12 12 12 11 12 12 13 13 14 15 16 16 16 nan
nan 9 10 9 8 7 7 7 7 7 7 8 8 8 8 9 10 11 10 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 8 8 8 8 8 7 7 6 6 5 6 6 7 7 7 7 8 9 9 9 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 7 6 5 5 5 5 5 7 8 9 9 8 8 8 7 8 7 7 7 7 6 6 7 7 6 6 6 7 10 14 15 12 8 4 2 1 2 3 4 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 8 8 7 6 5 5 6 7 9 11 12 12 13 13 13 14 14 14 15 16 16 17 17 nan
nan 10 10 10 9 8 7 7 7 7 7 8 8 9 9 10 11 10 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 9 9 8 8 8 8 8 7 7 6 5 5 5 6 6 7 7 8 9 10 9 9 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 8 6 5 4 5 5 5 6 8 8 8 8 9 8 8 8 7 7 7 7 6 6 8 8 7 7 7 8 9 11 15 15 11 6 2 -1 -1 2 3 4 5 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 5 4 3 4 6 8 10 11 12 13 13 13 13 14 15 15 15 16 16 nan
nan 10 10 10 9 8 7 7 7 7 7 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 8 8 7 6 6 5 5 5 6 7 8 9 10 10 10 9 8 7 7 7 8 9 10 10 9 9 8 7 7 7 8 8 9 9 9 7 5 4 4 4 5 6 8 8 8 7 8 9 9 8 8 7 7 7 7 6 7 9 8 7 8 8 8 9 11 12 11 8 4 -1 -3 -1 2 4 4 5 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 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 10 9 7 5 3 3 4 5 7 8 8 9 9 9 10 11 12 12 12 12 13 nan
nan 10 10 10 9 8 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 7 8 8 8 8 8 8 8 7 8 8 9 8 8 8 9 8 8 8 9 10 10 9 8 7 6 6 6 6 7 9 10 11 11 10 8 7 7 8 9 10 10 10 9 8 8 7 7 7 7 8 8 9 9 8 7 5 4 4 5 6 7 8 8 8 8 9 9 9 8 7 7 7 7 6 7 8 9 8 8 8 9 8 8 9 9 9 7 3 -1 -2 1 3 4 5 6 7 8 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 10 11 11 10 10 9 9 10 10 10 9 8 6 4 4 4 4 4 4 4 5 5 5 7 8 8 8 9 9 nan
nan 10 10 10 9 8 7 7 6 6 6 6 7 8 9 11 10 9 9 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 8 9 10 11 12 12 10 8 7 6 6 7 8 10 11 11 10 9 8 8 9 10 11 11 10 9 8 7 6 6 6 6 7 8 9 9 9 7 5 3 3 4 5 7 8 9 8 8 8 9 9 9 8 7 7 7 6 6 8 9 9 8 8 9 9 8 8 8 8 7 6 4 3 3 4 4 5 6 6 7 8 9 10 10 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 10 10 10 9 9 7 6 4 3 2 2 2 2 3 3 4 5 6 6 6 6 nan
nan 10 10 10 10 9 8 7 7 6 6 7 7 8 9 10 10 9 9 8 7 7 7 7 7 7 7 6 7 7 7 7 8 8 9 9 8 8 9 9 10 11 12 12 10 8 6 6 7 8 9 10 11 11 10 8 8 8 10 12 12 12 11 10 8 7 6 6 6 6 7 8 9 9 7 5 3 2 3 5 7 8 9 9 9 8 8 8 8 8 8 8 8 7 6 7 9 9 9 8 9 9 9 8 8 7 6 6 6 6 6 7 6 5 5 6 7 7 8 9 10 10 11 11 10 9 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 8 6 4 3 2 2 2 3 3 4 5 5 6 6 5 nan
nan 9 10 10 10 10 9 8 7 7 7 7 8 8 9 10 10 9 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 8 9 9 8 7 8 8 9 10 10 10 9 7 6 6 7 9 10 10 10 10 9 8 8 10 12 13 13 13 12 11 9 8 7 7 7 7 8 9 9 8 6 3 2 3 5 7 9 9 9 9 8 8 7 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 8 8 7 6 6 6 6 7 8 8 8 7 7 7 7 7 8 9 10 11 11 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 7 6 5 4 3 3 3 4 4 6 7 7 7 6 nan
nan 9 10 10 10 10 9 9 8 7 7 8 8 8 8 9 10 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 8 7 7 8 8 9 9 9 8 7 6 7 8 10 10 10 9 9 8 8 9 11 12 13 13 13 12 11 9 8 8 9 9 9 9 8 8 6 4 2 2 4 7 9 10 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 5 6 6 7 8 9 8 8 9 9 8 7 7 8 10 12 13 13 12 10 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 11 11 10 10 10 9 10 10 10 10 9 9 10 9 8 7 7 6 6 5 4 4 4 5 6 7 7 8 nan
nan 9 9 10 10 10 10 9 8 8 8 8 8 7 7 8 9 9 9 8 7 7 6 6 6 6 7 8 8 8 8 8 8 8 9 10 9 8 8 8 8 9 9 8 7 7 7 7 9 10 10 9 8 8 8 8 9 11 12 13 13 13 12 10 8 8 9 11 11 11 9 6 5 4 3 3 5 7 9 10 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 6 5 6 7 8 8 9 8 8 8 9 9 8 8 8 9 12 15 17 15 12 8 4 3 5 6 7 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 10 10 9 9 9 8 8 8 8 8 8 7 6 5 4 5 5 6 7 8 nan
nan 8 8 9 9 10 10 9 9 8 8 8 8 7 7 8 9 9 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 8 8 7 8 9 10 11 12 12 12 11 10 9 8 10 12 13 13 10 6 3 3 3 3 5 7 9 10 10 9 9 8 7 7 7 8 9 9 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 8 8 8 9 8 8 8 8 8 8 8 8 9 10 13 15 16 13 8 1 -2 1 5 6 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 8 9 9 9 9 8 8 7 7 8 8 9 9 8 7 6 5 5 5 6 7 nan
nan 8 8 8 9 10 9 9 9 9 8 8 8 7 7 8 8 9 9 9 8 7 7 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 7 6 6 7 8 8 8 7 7 8 8 9 10 11 11 11 10 9 8 8 10 12 14 15 13 7 1 -0 0 2 5 7 9 10 10 10 9 8 7 6 7 8 10 11 10 9 8 7 7 8 8 8 7 8 8 8 7 7 7 7 8 9 8 8 8 8 8 8 8 7 7 7 8 9 9 10 11 10 6 -2 -9 -7 0 5 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 8 9 9 8 7 6 5 5 5 6 nan
nan 8 8 8 9 9 9 9 9 9 9 8 8 8 7 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 7 7 7 8 9 8 7 7 7 8 9 10 11 11 10 9 8 8 8 9 11 13 15 14 10 3 -2 -3 -0 3 7 10 11 10 9 8 7 7 6 7 8 9 10 10 10 9 7 7 7 7 7 7 7 8 8 8 8 7 7 8 9 8 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 5 -1 -10 -12 -5 2 7 9 9 9 8 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 8 8 7 7 7 8 8 9 9 9 9 8 7 7 6 7 8 8 8 8 7 7 6 6 6 nan
nan 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 8 9 9 8 8 7 7 8 9 11 11 11 9 8 8 8 8 9 10 12 12 11 5 -1 -3 -2 2 7 10 12 11 9 8 7 7 7 7 8 8 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 7 8 9 9 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 7 2 -5 -10 -7 2 8 10 11 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 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 8 7 7 6 6 7 7 8 8 8 7 7 7 6 nan
nan 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 8 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 9 8 7 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 6 1 -2 -1 2 7 11 13 13 10 7 6 6 7 7 8 9 9 9 9 9 9 9 8 8 7 6 6 7 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 7 6 7 8 8 8 8 5 0 -5 -5 3 11 15 14 12 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 nan
nan 9 8 7 7 7 8 8 9 9 9 9 8 8 8 7 7 8 8 9 9 9 8 7 6 6 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 8 8 8 8 9 10 11 11 10 8 7 7 7 6 7 9 10 10 10 10 9 9 8 8 7 6 3 1 -0 2 6 10 13 14 11 8 6 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 7 7 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 8 7 8 7 5 2 1 6 14 20 19 16 13 11 10 9 9 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 nan
nan 8 8 7 7 7 8 8 9 9 9 8 8 8 7 8 8 8 9 9 10 9 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 6 7 7 7 8 9 10 11 10 9 8 8 8 7 6 6 7 9 10 10 10 9 8 8 7 6 4 3 2 3 6 9 12 13 11 8 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 9 15 20 21 18 15 13 11 9 7 6 7 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 nan
nan 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 7 6 6 6 7 7 8 9 10 10 10 9 8 8 9 9 7 6 6 7 8 8 9 9 8 7 6 5 4 3 4 6 9 11 12 11 8 6 6 8 9 10 9 9 8 7 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 9 11 14 15 14 13 11 11 9 6 4 3 6 8 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 7 6 6 7 9 9 9 9 9 8 9 10 10 9 8 7 6 5 6 7 7 8 7 6 5 4 4 5 7 10 11 10 8 5 6 7 9 10 9 9 8 8 7 8 9 9 8 7 8 8 8 7 7 8 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 9 9 9 9 9 9 9 8 7 5 2 -1 2 5 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 nan
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nan 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 7 8 9 9 8 6 6 6 7 8 8 9 10 11 11 11 9 7 6 7 8 9 9 8 7 7 7 7 7 7 8 8 8 7 7 7 8 10 10 9 8 8 8 8 8 9 9 8 8 7 8 7 7 6 7 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 8 8 9 9 7 4 1 -2 -4 -5 -8 -11 -6 1 6 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 nan
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nan 10 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 10 10 11 11 11 12 12 12 12 11 11 10 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 8 8 8 7 7 8 8 9 8 8 8 8 8 9 11 12 12 11 10 10 9 8 8 8 8 9 9 8 8 8 10 13 15 17 16 15 13 12 11 10 9 9 9 9 9 9 10 11 12 14 14 13 12 12 13 17 22 24 26 27 27 27 27 29 29 29 27 26 23 20 16 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 6 6 6 7 7 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 8 9 8 7 6 6 6 8 10 12 12 11 10 10 9 8 8 8 9 9 9 9 8 8 10 13 16 17 16 13 11 9 8 8 8 9 10 11 12 11 11 11 11 12 12 11 11 10 11 12 15 18 20 20 19 17 16 17 21 25 28 29 28 25 21 18 16 16 16 15 14 14 13 13 13 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 5 5 6 6 6 7 8 8 7 7 7 7 6 6 6 6 6 8 9 11 12 12 10 8 7 6 8 10 12 12 11 10 10 10 9 9 9 10 11 12 12 11 10 11 14 17 18 17 13 10 9 8 7 7 8 9 10 11 12 12 12 12 12 10 9 9 10 10 11 12 12 12 13 12 10 8 5 3 4 6 10 12 14 12 12 15 19 21 19 17 15 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 13 12 11 11 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 4 4 4 5 7 8 9 8 8 9 9 10 10 10 9 8 8 10 12 14 14 12 11 10 10 12 13 13 12 11 11 10 10 9 9 9 10 12 13 14 13 12 11 13 16 17 17 14 10 8 7 7 7 8 8 8 8 8 9 10 11 11 11 9 9 9 10 11 12 12 12 12 12 12 13 12 10 6 1 -1 -2 -2 -3 -0 4 10 16 18 16 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 11 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 8 7 6 5 4 3 2 3 6 9 10 10 10 10 10 11 11 12 12 11 9 8 9 11 12 13 12 11 11 13 14 16 16 14 12 11 10 10 9 9 9 10 12 13 14 14 13 11 11 13 14 14 12 10 8 7 7 7 7 8 8 8 7 7 8 8 9 10 10 9 9 9 9 10 11 12 13 13 14 16 18 21 22 21 17 12 9 7 5 7 12 15 16 13 14 15 16 16 15 14 14 14 13 13 13 13 14 15 16 15 14 13 13 12 12 12 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 5 2 0 -0 0 1 3 5 9 11 12 11 11 11 12 12 12 12 10 7 6 7 9 11 12 12 11 11 12 13 15 15 13 12 10 10 9 9 9 10 11 13 14 14 13 12 11 10 10 10 10 10 8 7 7 7 6 6 7 7 7 8 7 8 8 8 9 9 10 10 9 9 8 8 9 11 13 14 14 16 18 20 23 26 28 28 27 25 26 28 30 30 26 23 23 23 23 22 20 19 17 16 15 15 15 18 22 24 22 19 16 15 14 13 13 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 8 9 9 10 10 9 9 9 9 9 9 8 8 6 3 -0 -5 -8 -8 -6 -3 -0 2 5 7 9 9 10 12 12 12 11 10 8 6 5 6 8 11 13 14 12 11 11 11 11 11 11 10 9 9 9 9 10 11 12 13 14 14 13 11 9 8 8 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 9 9 9 9 10 11 11 11 11 10 10 10 11 12 13 14 13 14 15 17 20 24 28 29 30 32 34 35 34 31 30 30 30 30 30 29 27 23 22 20 20 21 24 27 28 24 20 17 15 14 13 13 12 12 12 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 11 9 7 4 4 7 10 12 13 13 13 13 12 12 11 11 11 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 8 6 2 -3 -8 -12 -14 -14 -11 -7 -3 -1 -0 0 1 3 6 9 12 12 10 9 7 6 5 6 9 12 14 15 14 12 10 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 11 9 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 11 13 14 14 13 13 12 12 12 13 13 12 12 13 14 16 19 21 22 22 22 22 21 21 22 23 25 27 29 30 29 28 29 29 29 27 25 22 20 19 18 18 17 16 15 14 14 13 13 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 11 10 6 1 -3 -5 -1 6 10 12 14 14 14 14 13 13 12 12 11 11 11 11 11 11 10 9 8 8 9 10 11 11 10 10 10 9 8 8 8 5 -0 -7 -12 -15 -14 -11 -7 -2 1 2 1 -0 -1 -1 2 4 7 8 7 5 5 5 5 6 8 12 14 15 14 12 10 9 8 8 9 9 10 10 10 11 11 12 13 13 12 11 9 8 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 10 9 9 10 10 10 10 10 10 10 11 12 14 15 15 15 14 13 12 13 13 13 13 12 12 12 13 13 13 12 11 10 10 11 12 13 15 18 19 21 23 26 29 32 32 29 25 21 18 19 23 25 25 23 20 17 15 13 13 nan
nan 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 10 6 -1 -8 -11 -9 -1 8 11 13 15 16 15 14 14 14 13 12 12 11 11 11 11 10 9 8 8 8 10 11 11 11 10 10 9 9 8 7 6 1 -5 -10 -12 -10 -6 -1 3 6 8 7 6 5 4 4 4 4 4 2 -2 -3 -2 -0 3 6 9 12 12 11 9 7 7 7 7 9 10 10 11 12 12 12 12 12 12 11 10 9 7 6 6 7 7 7 7 7 7 6 6 6 7 9 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 12 13 14 15 15 15 14 14 14 13 12 12 12 11 11 10 9 9 8 8 8 8 8 9 10 11 11 12 13 15 19 22 24 25 26 26 24 22 22 23 23 22 20 17 14 13 12 11 nan
nan 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 11 11 10 10 10 9 7 1 -7 -12 -11 -5 3 9 12 14 17 17 15 15 15 15 14 13 12 12 12 11 10 9 8 7 7 8 10 11 12 11 11 10 9 8 8 7 5 1 -2 -4 -2 1 4 7 9 10 10 9 8 8 8 7 6 5 2 -2 -6 -7 -6 -4 -0 4 7 8 7 5 4 4 4 6 8 9 10 10 11 12 12 11 11 10 10 9 8 8 7 7 6 6 6 6 6 7 6 6 5 6 8 10 10 10 9 9 10 10 10 10 9 10 10 11 11 12 12 12 12 12 13 14 15 15 15 13 12 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 12 13 14 15 17 19 22 21 18 13 8 5 4 5 6 7 8 9 9 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 5 -3 -9 -10 -6 0 6 9 11 14 16 17 17 18 18 17 14 13 13 13 12 11 10 8 8 7 7 8 9 11 11 11 10 9 9 8 8 8 7 6 6 7 10 12 13 14 15 14 12 10 8 8 8 8 7 6 4 1 -1 -1 -1 -1 -0 1 1 1 1 3 5 6 7 8 9 9 8 9 10 11 10 10 9 9 9 9 9 8 7 6 5 4 4 5 6 7 7 8 9 11 13 12 10 7 7 9 10 10 10 10 10 10 11 11 12 12 11 10 10 10 11 12 13 14 13 11 10 9 8 7 7 6 6 7 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 13 14 13 8 2 -3 -6 -5 -2 0 4 6 8 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 7 2 -6 -9 -7 -3 3 8 10 11 12 14 17 21 23 22 18 14 13 13 12 12 11 10 9 8 8 7 8 9 10 9 9 8 8 8 9 9 9 9 10 11 13 16 18 18 19 18 16 12 9 8 8 8 8 7 7 7 6 7 7 7 5 4 2 -0 -1 0 3 5 7 9 9 9 7 7 7 8 8 8 8 9 9 9 9 9 8 7 5 4 4 5 5 6 7 9 11 13 14 14 12 8 7 8 9 10 11 11 11 11 11 11 11 10 10 9 8 8 8 8 9 10 11 10 9 9 9 7 6 6 6 6 8 9 9 10 11 11 10 10 10 10 11 11 12 12 12 11 11 11 10 9 6 2 -1 -1 -0 1 2 4 6 8 9 9 nan
nan 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 6 -1 -7 -8 -6 -1 5 9 10 11 11 13 18 23 26 24 18 15 13 13 12 11 10 10 9 9 9 8 8 9 9 8 8 8 9 9 10 10 9 9 10 10 12 14 15 15 13 11 10 9 10 11 12 11 10 9 8 8 9 10 10 10 9 8 6 5 4 4 4 3 3 3 5 5 5 6 7 7 7 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 10 12 13 14 13 12 11 10 10 10 10 10 10 10 10 11 11 10 9 7 6 6 6 7 7 7 7 8 8 8 8 9 9 8 7 7 7 8 9 9 10 12 12 12 11 11 11 11 10 11 11 12 11 10 9 8 6 3 -1 -3 -1 2 5 7 7 8 9 9 10 10 nan
nan 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 4 -4 -8 -8 -5 0 5 9 10 11 11 12 16 22 26 25 20 16 14 12 11 10 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 9 10 10 8 4 1 -0 2 7 12 15 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 9 7 4 1 1 2 3 4 5 6 7 8 8 9 9 8 8 8 7 6 7 9 10 10 10 9 9 11 12 12 11 10 10 11 12 12 12 11 11 10 9 8 8 8 6 5 4 4 4 5 6 6 7 7 8 8 7 7 7 7 8 9 9 10 11 11 11 12 13 13 12 12 11 11 11 10 10 10 11 10 9 8 5 1 -4 -6 -4 -0 4 7 8 9 9 10 10 10 11 nan
nan 10 9 9 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 9 7 1 -6 -8 -7 -4 1 6 9 10 11 11 11 15 20 25 25 22 17 14 12 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 7 3 -4 -6 -4 2 9 15 16 16 16 15 14 13 12 11 11 10 10 11 12 12 13 14 14 13 12 9 7 5 5 4 5 6 7 8 9 8 7 7 7 6 6 7 8 8 8 7 5 6 8 10 11 9 8 9 10 10 10 11 12 12 11 10 9 8 8 6 5 4 5 6 7 7 7 7 8 8 8 7 6 6 6 7 9 10 11 12 12 11 12 13 13 12 12 11 10 10 10 10 10 11 10 10 10 9 6 2 -1 -0 2 6 8 9 10 10 10 11 11 11 11 nan
nan 9 8 8 9 9 10 10 10 10 10 10 10 9 8 9 9 9 10 10 10 7 1 -5 -7 -6 -3 2 6 9 10 11 11 11 14 18 23 25 23 18 14 12 11 10 10 10 10 10 10 9 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 5 1 -3 -0 6 12 17 18 16 15 15 16 16 15 15 14 14 13 14 15 17 18 21 22 22 21 18 15 12 10 8 7 6 6 7 8 9 9 8 7 6 5 5 5 5 5 4 4 6 8 10 11 10 9 9 9 9 8 7 8 9 10 10 11 11 10 9 7 6 7 9 10 11 10 10 10 9 8 6 6 6 6 7 9 10 11 12 12 12 11 12 12 12 12 11 10 10 9 9 10 10 11 11 11 11 11 11 11 12 13 14 13 12 12 11 11 11 11 11 11 11 nan
nan 8 8 9 9 10 10 10 10 10 10 10 9 8 8 8 8 9 10 11 10 8 3 -2 -5 -5 -2 2 6 9 10 11 11 11 13 16 20 24 24 19 15 13 11 10 10 10 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 6 5 8 13 18 21 22 18 14 12 12 13 14 16 17 18 18 20 22 24 26 28 30 30 27 23 18 14 12 12 11 11 10 9 8 8 8 9 10 9 8 6 5 5 5 6 7 9 12 14 15 14 12 11 11 11 10 8 7 7 7 8 11 12 12 10 7 6 7 8 9 10 10 10 10 8 6 5 5 5 6 7 9 11 12 12 12 12 11 11 12 12 12 12 11 10 10 9 9 10 10 10 11 11 11 13 16 19 23 22 19 16 13 12 12 11 11 11 11 11 11 nan
nan 9 9 9 10 10 11 11 10 10 10 10 9 9 8 8 9 9 10 10 10 8 4 -1 -5 -5 -2 3 7 9 11 11 11 11 12 14 18 24 25 21 17 14 11 10 10 11 10 9 8 8 8 7 6 7 8 9 10 9 9 9 9 8 8 8 8 8 10 13 17 19 19 16 13 10 9 9 9 10 13 15 18 20 24 27 29 31 32 31 28 23 19 15 14 15 16 17 18 16 14 12 11 11 12 12 12 10 9 8 8 9 10 12 15 16 16 15 13 12 12 12 12 12 10 9 7 8 10 12 11 8 5 4 5 6 6 6 7 8 8 7 5 5 5 7 8 9 11 12 13 13 13 12 12 11 12 12 11 12 12 11 11 10 10 10 10 10 11 11 11 12 13 16 19 19 17 14 11 10 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 8 3 -3 -6 -6 -2 3 7 10 11 11 11 11 11 12 18 26 28 25 20 14 11 11 10 10 8 8 8 8 7 5 6 7 9 11 11 10 10 10 9 9 8 8 8 9 10 11 12 11 10 8 7 6 6 7 7 8 10 12 14 18 21 23 24 24 24 21 18 16 15 16 17 20 22 25 25 23 21 20 20 20 19 17 14 12 10 10 10 11 12 14 14 13 12 10 9 10 12 12 12 10 9 8 7 8 9 9 7 4 3 4 7 8 7 7 8 7 7 6 6 8 9 11 12 13 14 14 14 13 13 12 12 12 11 11 10 11 11 10 10 10 10 11 11 10 10 11 11 12 13 14 14 11 9 7 7 9 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 8 1 -4 -6 -5 -1 4 8 10 11 11 11 11 11 13 21 28 30 26 19 12 10 11 10 9 7 7 7 7 6 6 8 10 12 12 12 12 11 10 10 9 9 9 9 9 8 8 7 6 4 2 1 2 4 5 7 9 10 12 13 15 17 17 17 15 13 11 10 11 13 15 18 21 24 27 26 25 23 23 24 24 22 18 14 11 10 10 11 12 13 13 12 10 7 7 8 10 11 10 8 7 6 6 7 8 8 7 6 5 7 9 10 10 10 10 10 9 9 10 11 13 14 14 14 14 15 15 14 13 12 12 12 11 10 9 9 10 10 11 11 11 11 11 10 10 10 10 11 12 12 12 10 10 10 9 10 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 9 9 9 10 10 10 10 10 11 10 9 8 8 9 9 6 0 -4 -5 -4 -0 4 8 10 11 11 11 11 11 15 24 30 30 25 15 9 10 10 9 8 6 6 6 6 7 9 10 11 11 11 11 11 10 9 9 9 9 9 8 7 7 7 7 5 1 -3 -4 -2 2 5 8 10 12 13 15 15 15 14 12 10 9 9 10 11 13 15 17 20 22 21 19 17 16 16 17 17 15 13 11 10 10 11 11 13 13 13 11 9 7 7 7 8 7 5 5 5 5 6 8 10 11 11 11 12 13 13 13 12 12 13 13 13 14 16 17 18 18 16 15 14 14 13 12 12 12 12 11 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 12 14 17 17 16 13 12 12 12 12 11 11 11 11 nan
nan 11 11 10 10 10 9 8 9 10 10 10 11 11 11 10 9 8 8 8 8 4 -1 -4 -6 -4 0 5 8 9 10 10 10 11 13 20 28 31 29 21 11 9 9 9 9 7 6 5 5 6 9 10 9 9 9 10 10 10 9 9 8 8 7 7 6 6 7 8 8 5 -2 -6 -6 -3 1 5 8 11 13 15 15 14 13 11 9 9 9 11 12 14 15 17 18 18 16 11 7 4 2 4 6 7 8 8 8 8 9 10 12 12 11 10 7 5 2 2 2 3 2 3 4 6 7 9 11 13 15 17 17 17 17 16 15 14 15 15 16 17 18 18 18 18 17 16 15 13 12 11 12 12 12 11 11 10 9 10 10 10 11 11 11 11 10 10 10 11 11 11 12 11 11 11 13 17 20 21 19 16 14 13 13 12 12 12 12 11 nan
nan 11 11 11 10 10 9 9 9 10 10 10 11 11 11 10 9 8 7 8 7 4 -1 -5 -6 -4 1 4 7 9 10 10 10 12 17 25 31 30 24 15 9 8 9 10 10 8 6 5 5 7 9 9 7 7 9 10 10 9 8 8 8 7 6 5 5 7 9 10 9 3 -4 -6 -4 -1 3 6 9 13 15 15 14 12 11 10 10 11 12 14 15 16 16 17 16 13 7 1 -5 -8 -7 -3 -1 1 3 3 3 3 5 7 9 7 4 1 -3 -6 -6 -5 -4 -3 -3 -0 3 6 8 11 14 17 18 19 19 18 18 17 16 16 17 17 17 16 15 14 13 13 13 13 12 12 11 11 11 12 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 12 12 12 11 11 13 16 19 21 22 19 16 14 13 13 13 12 12 12 nan
nan 11 11 10 10 10 9 9 10 10 10 10 10 10 10 9 8 7 7 8 8 5 2 -2 -4 -2 1 4 6 8 10 10 11 14 20 28 30 25 18 11 9 10 11 12 11 7 5 5 6 9 9 8 7 8 10 10 9 8 8 9 8 6 5 5 7 9 10 11 7 -0 -4 -4 -2 1 6 10 14 17 18 15 13 12 11 11 12 13 14 15 16 16 15 15 13 7 2 -2 -5 -5 -2 -0 0 1 1 -0 -1 -0 2 3 2 -1 -4 -7 -9 -9 -7 -5 -3 -4 -4 -3 0 4 7 10 12 14 16 16 17 16 16 15 15 16 16 16 14 13 11 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 13 17 20 23 22 19 16 14 14 13 13 13 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 7 5 1 -2 -2 -0 2 5 8 9 10 11 15 22 28 26 19 13 10 10 11 12 12 9 6 4 5 7 9 9 8 8 9 9 9 9 9 8 7 5 4 4 6 8 10 11 10 5 -2 -4 -4 -0 5 9 13 17 21 20 17 14 13 13 12 13 13 14 14 14 14 13 12 11 8 7 7 7 9 10 8 7 6 6 4 4 4 3 2 -1 -4 -5 -5 -3 -0 2 4 4 3 2 2 3 4 5 5 5 8 12 15 15 14 12 12 12 12 12 12 11 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 15 19 22 24 22 19 16 15 14 13 13 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 6 2 -1 -2 -1 1 4 7 9 9 11 15 22 25 21 16 13 12 12 12 11 8 6 4 4 6 9 9 9 8 8 9 9 9 9 7 4 2 1 2 4 7 9 11 11 9 3 -2 -4 -3 2 8 11 15 20 24 23 19 16 14 13 12 12 12 12 12 12 11 11 11 10 12 14 16 16 16 16 15 14 14 13 11 10 9 8 6 3 2 3 5 7 8 10 10 10 10 10 10 9 8 5 4 5 10 15 17 15 12 10 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 14 17 20 24 24 22 19 17 16 15 14 13 nan
nan 11 11 11 11 10 10 11 11 10 10 10 10 10 10 9 9 8 8 8 9 9 6 3 -0 -3 -2 -0 3 7 8 9 11 14 20 22 20 17 15 15 13 10 8 6 4 5 7 9 10 10 9 9 8 9 9 9 7 3 -1 -3 -2 1 5 9 11 12 11 8 2 -3 -5 -1 5 9 13 17 23 27 25 21 16 13 11 11 11 11 11 11 10 10 10 10 11 13 15 15 16 17 18 18 18 17 16 13 11 10 10 10 9 9 10 11 11 12 12 13 14 15 16 15 13 10 9 9 13 18 20 18 12 9 8 8 9 10 10 11 10 10 10 10 10 9 10 10 10 10 10 11 12 12 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 15 16 19 23 26 26 24 22 21 19 17 15 nan
nan 11 11 11 10 10 10 11 10 10 11 11 11 11 10 9 9 9 9 9 9 9 7 4 0 -3 -3 -1 3 6 8 9 10 14 19 21 21 19 18 15 12 9 7 6 6 8 10 11 11 10 9 9 9 10 11 10 8 3 0 -0 1 4 8 11 11 11 10 5 -1 -5 -5 1 7 11 15 19 25 27 24 19 14 11 10 10 10 11 10 10 10 11 11 11 12 12 13 13 14 15 17 17 17 16 15 13 13 14 14 15 14 14 14 14 14 15 17 19 21 22 20 17 14 12 11 13 17 19 18 14 9 8 7 8 9 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 15 15 15 15 16 18 22 25 28 29 29 28 25 22 20 nan
nan 11 10 9 9 10 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 9 8 6 1 -3 -4 -2 2 6 8 8 9 13 18 20 22 21 17 13 10 8 8 8 8 9 10 11 12 11 11 11 12 13 13 13 11 8 7 7 6 6 8 9 8 6 3 -2 -6 -7 -3 5 11 14 16 20 23 23 20 16 11 10 10 11 11 11 11 11 11 11 12 12 12 13 13 12 12 13 13 12 12 12 12 13 16 18 19 19 18 17 18 19 21 23 26 27 28 27 22 16 13 11 11 14 16 18 18 14 12 10 10 10 12 12 11 11 10 10 10 11 11 11 11 10 9 9 11 12 12 13 13 12 11 11 10 11 11 11 11 11 11 11 10 10 10 11 11 12 12 13 14 15 16 16 15 16 16 18 21 25 29 30 29 28 27 27 nan
nan 10 9 9 9 10 10 10 10 9 10 11 12 13 12 10 9 9 9 9 9 9 9 7 2 -3 -4 -3 1 5 7 8 9 11 15 20 23 21 15 11 9 9 8 8 9 9 10 12 12 12 12 13 14 14 14 13 12 12 12 11 8 7 7 5 3 0 -3 -7 -8 -4 3 10 13 15 16 18 20 20 18 14 11 11 11 12 12 11 11 11 11 12 12 13 14 14 13 12 11 10 8 7 7 8 9 12 14 16 17 17 17 18 19 22 25 28 28 28 26 23 17 13 12 12 14 17 21 24 24 20 17 15 14 14 14 13 11 10 10 10 10 10 10 10 9 9 8 9 10 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 15 15 14 13 14 16 18 20 21 22 23 25 28 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 8 10 10 10 14 18 15 9 5 3 3 4 3 1 0 0 0 0 2 4 5 5 6 6 6 6 6 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 3 5 4 3 3 4 6 12 23 31 35 38 43 51 56 57 58 57 53 50 46 40 40 50 60 66 75 82 91 105 117 118 112 110 113 113 111 104 94 85 78 86 83 77 71 69 72 81 90 94 107 119 130 142 152 161 174 187 194 197 226 271 300 307 308 302 297 335 462 597 701 796 947 1061 1063 1019 939 789 591 416 308 252 240 240 234 227 219 206 189 172 161 149 142 146 165 195 226 260 298 325 338 326 298 273 265 249 234 205 187
4 5 5 7 11 17 18 12 6 4 3 4 2 1 0 0 0 0 0 0 1 2 3 4 3 3 4 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 1 0 1 2 2 3 10 18 24 28 34 43 49 52 54 50 48 46 50 53 48 45 54 62 69 80 88 92 98 106 108 101 86 83 80 74 68 62 56 46 48 49 47 46 44 45 50 48 52 62 73 85 96 110 126 147 145 134 129 142 175 214 242 241 245 245 243 267 303 322 323 405 632 831 992 1117 1118 957 765 578 435 353 308 280 264 260 255 241 231 216 196 178 170 178 197 214 222 247 282 310 319 311 287 255 242 251 241 223
4 4 4 5 9 13 13 9 5 3 3 3 1 0 0 0 0 0 0 0 0 0 0 1 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 1 6 13 20 24 29 37 43 46 45 41 38 37 39 42 42 42 50 58 62 68 73 75 76 75 76 75 65 59 54 49 44 40 37 34 32 31 33 35 34 35 43 47 46 49 58 68 73 82 103 130 128 113 99 100 124 164 187 184 203 216 223 224 217 211 209 232 334 472 642 833 1004 1084 1113 916 745 625 532 447 372 323 309 299 294 284 266 236 209 204 211 221 233 255 278 299 317 320 298 279 276 284 291 285
4 3 2 2 3 5 6 4 2 1 2 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 3 8 15 20 24 28 29 34 33 30 26 23 22 22 22 25 31 35 38 38 38 36 30 30 30 32 33 34 32 29 24 18 15 14 13 13 14 16 18 23 29 41 47 49 55 65 68 71 88 119 133 128 116 109 120 142 146 149 159 167 175 175 168 176 207 234 265 309 370 452 574 707 949 990 962 929 892 785 625 501 432 396 372 351 335 322 297 278 260 262 273 284 300 320 325 314 301 291 293 311 337 345
4 2 1 0 0 1 2 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 1 4 9 13 15 15 12 17 18 14 10 8 7 4 2 4 7 8 9 10 10 8 4 4 5 6 8 10 11 9 6 3 2 1 1 1 2 4 7 11 16 23 32 41 50 61 69 69 75 91 110 124 131 128 134 140 147 149 145 139 137 121 120 140 172 202 224 244 266 285 306 302 412 616 790 908 976 967 859 739 659 592 521 474 439 411 388 363 334 326 335 335 340 342 319 310 310 312 315 327 368 382
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