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 6 7 9 11 13 11 9 9 9 10 10 9 9 8 8 8 9 9 9 9 11 12 12 12 13 13 13 12 12 12 12 12 12 12 13 12 11 10 9 9 9 9 10 12 14 16 17 17 16 13 9 6 5 5 5 3 4 7 16 29 39 42 41 37 31 24 20 16 13 11 10 9 9 8 7 6 6 5 4 4 3 3 3 2 2 3 3 3 3 4 5 6 6 7 7 8 9 10 10 11 12 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 10 11 11 10 9 9 8 9 10 9 9 9 9 9 10 9 10 11 12 12 12 11 12 12 12 12 12 12 11 11 11 11 12 11 11 10 9 8 8 8 8 10 12 14 17 18 17 14 10 7 5 4 3 1 -1 1 8 18 27 34 38 38 33 28 24 19 14 11 10 9 9 8 7 7 7 6 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 6 6 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan 11 11 10 9 10 11 10 8 7 8 9 10 10 10 10 10 10 10 11 13 14 12 11 10 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 9 8 7 8 9 10 13 16 18 18 15 11 7 4 3 2 0 -1 -2 2 8 15 24 33 35 34 32 29 22 16 13 11 10 9 8 7 7 7 6 6 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 5 6 8 9 11 12 13 13 13 13 13 13 13 13 13 12 11 nan
nan 10 10 9 9 11 11 11 9 8 9 10 10 10 10 10 10 10 11 13 15 15 13 11 11 12 13 13 13 12 12 11 10 9 8 8 8 9 9 8 8 8 7 8 8 10 13 16 18 18 16 11 6 4 2 1 1 0 -1 0 2 6 17 26 30 32 34 31 26 21 18 14 11 9 8 7 6 6 6 6 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 5 6 7 9 10 12 13 13 13 13 13 13 13 13 13 12 nan
nan 9 9 10 10 12 12 11 10 11 11 11 11 10 10 10 10 11 13 15 16 14 12 11 12 13 13 13 13 13 13 12 11 9 8 8 7 6 6 6 8 9 9 9 10 12 14 16 18 19 16 11 7 4 1 1 1 2 2 2 1 4 11 16 21 28 32 31 29 27 23 18 14 12 10 8 7 6 6 5 6 6 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 5 6 6 8 11 13 13 13 13 13 13 14 14 13 11 nan
nan 9 10 10 10 11 12 11 11 12 12 11 11 10 10 10 12 13 14 14 13 11 10 11 13 14 14 13 14 14 13 12 12 11 10 8 6 4 4 7 10 11 12 12 13 15 17 18 20 20 17 13 9 5 3 2 3 3 4 4 3 3 6 9 15 24 28 30 31 30 27 23 20 17 13 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 5 5 5 6 9 11 12 13 13 13 13 14 13 12 11 nan
nan 10 10 9 9 10 10 11 11 11 10 9 9 10 11 12 13 14 14 13 12 10 10 12 13 14 14 14 14 14 13 13 13 13 11 8 6 6 9 12 14 16 16 16 17 18 20 21 22 21 19 16 13 8 6 6 6 5 5 5 4 4 4 5 12 19 22 26 30 31 30 28 26 22 18 15 13 11 10 8 7 7 7 8 8 8 9 9 9 9 9 8 8 7 6 5 5 5 4 4 4 6 8 11 12 12 12 13 13 13 12 11 nan
nan 10 10 9 9 10 10 10 10 9 8 8 9 11 12 12 13 14 13 13 11 10 10 11 13 14 13 12 13 13 14 14 14 13 11 11 11 13 16 18 20 21 20 20 21 22 24 25 26 24 22 19 15 13 12 11 9 8 7 6 6 5 4 5 9 12 16 23 29 30 31 31 30 26 22 20 18 16 14 12 11 9 9 10 10 10 11 12 12 12 12 11 11 9 8 7 6 6 5 4 3 4 6 9 11 11 11 12 13 13 12 11 nan
nan 10 9 9 9 10 10 10 10 8 7 7 10 12 12 12 11 12 12 11 10 10 11 12 14 14 12 11 12 14 14 14 13 12 12 13 15 18 19 19 20 20 20 20 22 25 29 31 30 29 25 20 17 16 15 13 11 9 7 7 7 7 6 5 6 7 12 20 26 28 30 32 30 27 26 24 22 20 19 18 16 14 12 12 11 11 11 12 12 13 13 13 13 12 10 9 9 8 6 5 4 3 5 7 8 10 11 12 12 12 11 11 nan
nan 9 9 9 9 10 10 10 9 7 6 8 11 12 12 10 10 10 10 9 9 10 12 13 14 13 12 13 14 14 13 12 11 11 12 13 14 15 15 14 13 12 13 14 17 21 26 29 31 31 28 22 19 17 15 13 9 7 6 6 6 6 6 5 5 6 11 17 21 26 29 31 29 28 27 25 22 21 21 21 20 18 16 14 13 12 11 11 11 11 12 13 13 14 13 12 11 11 10 8 6 5 5 5 7 9 11 12 12 11 10 10 nan
nan 10 10 10 10 10 11 10 9 7 7 9 11 12 11 10 9 9 9 8 9 10 11 12 13 12 12 13 13 12 11 10 10 11 12 12 12 12 11 9 8 7 8 9 10 12 15 19 23 27 27 24 20 17 15 12 8 6 4 4 4 4 5 5 5 7 10 13 18 24 29 30 29 28 26 22 20 20 21 21 21 20 19 17 16 14 12 11 10 9 10 11 13 14 15 14 14 14 13 12 10 9 7 6 6 8 10 11 11 11 9 9 nan
nan 10 10 10 10 11 11 11 10 8 9 10 12 12 11 10 10 10 9 8 9 9 10 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 11 10 10 10 11 12 12 11 11 11 14 20 23 23 20 18 16 13 9 6 4 3 2 2 3 4 5 7 9 13 18 25 29 29 29 27 23 20 18 17 17 18 19 20 20 20 19 17 15 13 11 10 10 10 12 13 15 15 15 16 15 15 14 13 11 9 8 8 9 10 11 11 10 9 nan
nan 10 10 10 10 11 10 10 10 9 9 10 11 12 12 11 11 10 9 8 9 9 9 10 10 10 9 9 9 9 9 10 11 12 12 12 13 13 13 13 13 14 15 18 22 23 23 21 20 20 21 20 18 17 15 12 9 7 5 4 2 1 1 2 4 6 11 16 22 26 28 29 29 27 23 19 17 15 14 14 16 18 19 20 21 21 20 18 16 14 13 12 12 13 14 15 15 15 15 15 15 14 13 11 10 8 9 10 12 12 12 11 nan
nan 10 10 10 11 11 10 10 10 9 9 10 10 11 11 11 11 9 8 8 9 9 9 9 9 9 8 9 9 9 9 10 11 12 12 12 13 13 13 13 13 13 15 20 28 35 37 35 32 27 22 17 14 13 11 8 6 6 6 5 4 2 1 2 4 9 16 22 24 26 28 29 29 27 23 20 17 13 12 12 13 14 17 19 21 22 23 23 22 20 17 15 14 14 14 15 15 14 14 13 13 13 12 12 11 10 10 11 12 13 14 13 nan
nan 10 10 10 11 11 10 9 9 9 9 9 9 9 10 9 9 8 8 9 10 10 9 9 9 8 8 9 9 9 10 11 13 13 14 14 13 12 11 11 10 11 13 18 26 34 38 37 32 26 19 14 11 9 7 6 5 5 7 8 7 5 4 4 7 13 18 20 21 23 26 28 29 27 24 20 16 13 12 10 10 11 13 15 18 21 23 25 25 24 21 18 16 15 14 14 14 13 12 11 10 10 10 11 11 11 11 12 13 14 15 15 nan
nan 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 8 8 9 10 10 10 10 10 9 9 9 9 10 11 12 14 15 16 16 15 13 11 10 9 9 11 13 16 20 25 28 28 24 18 14 11 10 8 7 7 7 8 9 10 10 10 9 10 11 13 14 14 15 19 25 28 28 27 25 21 17 14 12 10 8 8 9 10 13 16 19 22 24 24 22 19 17 15 14 13 13 12 10 9 9 8 8 9 10 10 11 12 13 14 16 16 nan
nan 9 9 10 10 10 9 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 14 16 17 17 15 13 10 9 9 10 11 13 14 16 18 19 17 15 13 11 11 10 9 9 9 9 10 11 12 13 13 12 12 13 13 12 11 13 18 24 27 29 28 26 22 18 15 12 9 8 7 6 7 8 11 14 17 19 20 19 18 16 14 13 12 11 10 9 9 8 8 7 8 8 9 9 10 11 13 15 16 nan
nan 9 9 9 9 9 8 6 6 6 7 7 7 8 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 13 14 16 17 16 14 12 10 9 9 10 12 12 13 13 13 12 11 11 12 12 11 10 10 9 9 9 10 11 12 13 13 12 11 11 12 12 11 13 17 20 24 26 28 26 23 18 15 12 9 8 6 6 6 6 7 9 12 14 15 15 15 14 13 12 11 10 9 8 8 8 8 7 7 7 7 8 8 9 11 13 15 nan
nan 9 9 8 7 7 6 6 6 6 6 7 8 10 11 11 9 8 9 10 10 10 10 10 10 10 10 10 10 11 12 14 16 16 14 12 11 9 8 8 10 11 12 12 11 11 10 9 11 13 14 13 12 10 8 8 8 9 10 11 12 11 10 9 9 9 10 10 10 11 14 17 22 25 26 23 19 15 12 10 8 7 6 6 6 6 7 8 10 11 12 12 13 12 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 10 12 nan
nan 8 7 5 4 5 6 6 7 7 7 9 11 13 12 10 7 7 9 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 12 10 9 7 5 6 8 11 12 11 11 10 10 10 12 15 16 16 14 11 8 7 7 8 8 9 9 10 10 9 9 8 7 6 6 7 9 13 19 23 25 23 20 16 12 10 8 7 7 7 7 6 6 6 7 9 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 7 7 6 6 7 8 9 nan
nan 6 5 4 5 6 8 8 8 9 10 12 13 13 11 8 7 8 9 10 10 9 9 10 10 10 9 9 9 9 10 12 12 11 10 9 7 4 3 5 8 11 12 11 11 11 11 12 13 15 16 17 16 12 9 8 7 7 6 6 7 8 9 9 8 6 4 2 3 5 10 15 20 23 25 24 21 17 13 10 7 7 7 7 7 7 7 6 7 7 9 10 10 11 11 11 11 11 11 10 9 9 9 8 8 7 6 6 6 6 7 7 nan
nan 6 6 8 9 10 10 10 10 11 11 12 12 11 9 7 7 8 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 10 9 7 5 3 4 6 9 11 11 11 11 12 12 12 13 14 16 18 17 15 12 9 7 7 6 5 5 5 6 6 6 3 -0 -1 1 7 14 20 24 26 26 25 21 17 13 10 7 6 6 6 7 8 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 10 9 8 7 7 6 7 7 7 7 7 nan
nan 8 10 11 11 11 10 10 11 11 10 9 9 9 9 8 8 8 9 9 9 8 8 8 8 6 5 5 6 8 9 10 10 10 9 7 5 4 4 6 8 10 11 12 12 13 12 12 13 14 17 19 19 17 14 10 9 8 8 6 5 4 4 4 3 1 -1 -0 4 11 18 24 26 28 28 25 22 18 14 10 7 5 5 5 6 7 8 8 7 7 7 8 9 9 10 10 10 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 nan
nan 9 10 9 8 7 7 8 9 9 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 6 6 7 9 10 11 11 11 9 8 6 5 4 4 6 8 10 11 13 13 13 12 12 13 15 17 18 19 18 15 12 11 10 10 8 6 5 4 3 2 2 2 3 7 14 20 24 27 29 29 26 23 19 14 10 8 6 5 4 5 6 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 nan
nan 7 7 6 6 7 8 9 9 8 6 6 7 8 8 7 6 6 6 8 10 12 12 10 9 8 8 10 12 12 12 12 10 8 6 5 4 4 5 7 9 11 12 13 13 12 12 12 13 15 16 17 17 16 15 13 12 11 10 9 8 6 4 4 5 5 4 4 7 12 17 23 28 31 30 28 24 19 15 11 9 6 5 4 4 5 6 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 nan
nan 7 8 8 9 11 12 12 10 8 7 8 8 9 8 7 6 5 7 10 13 13 12 9 8 8 9 10 11 12 11 10 8 6 5 4 5 6 7 9 11 13 13 12 12 11 11 12 14 15 15 15 15 13 13 12 11 11 10 10 9 7 6 7 7 6 4 2 4 8 15 23 29 31 32 30 26 21 16 13 10 7 6 5 5 5 5 6 6 7 7 7 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 nan
nan 9 10 11 13 13 13 11 9 8 8 9 10 10 9 8 7 7 10 12 13 10 7 6 6 7 8 9 10 10 10 8 6 5 6 7 8 9 10 11 13 13 12 11 10 10 10 11 13 14 15 15 13 12 11 10 10 10 10 10 9 7 7 8 7 5 2 -0 1 5 14 23 29 32 34 32 28 23 19 15 10 9 7 6 6 5 5 5 6 6 7 7 6 6 6 7 8 8 9 10 10 10 9 9 9 9 9 9 9 10 10 11 nan
nan 10 11 12 12 11 10 8 7 8 9 11 11 11 10 9 8 9 11 11 9 6 5 6 8 9 9 10 10 9 8 7 7 8 9 11 12 12 13 14 14 13 12 10 9 9 9 11 12 13 15 14 13 12 10 8 9 9 9 10 8 7 8 8 7 5 1 0 1 5 13 21 26 32 35 34 30 27 21 16 12 10 9 8 7 7 6 6 6 6 6 7 6 6 6 6 6 7 8 9 9 10 9 9 8 8 8 9 9 10 10 11 nan
nan 10 11 11 10 9 8 7 8 9 11 11 11 11 10 10 9 10 10 9 7 6 7 8 10 11 11 11 11 10 9 10 11 13 14 15 15 15 16 16 15 13 11 9 8 8 9 9 11 12 14 14 13 11 8 8 8 8 9 9 8 8 9 9 8 6 4 3 3 6 12 17 24 32 36 35 33 28 22 17 14 12 10 10 9 9 9 8 7 7 7 7 7 7 6 6 5 5 6 6 8 9 9 9 8 8 8 8 8 9 10 10 nan
nan 11 11 11 10 9 8 8 9 11 11 11 11 11 11 10 10 11 11 10 10 10 10 11 12 13 13 13 13 13 13 15 17 18 19 18 18 17 17 16 14 12 11 10 9 9 8 9 10 11 13 13 13 11 8 8 8 8 9 9 9 9 9 9 9 9 9 6 5 7 10 16 25 32 35 35 34 29 23 19 16 12 11 10 11 11 11 10 9 9 9 9 9 9 8 7 6 5 4 4 5 7 8 8 8 8 7 7 8 8 9 9 nan
nan 11 10 9 8 7 6 7 8 9 9 9 10 11 11 11 12 13 13 13 12 12 13 13 14 15 15 15 15 16 17 18 18 19 20 20 19 17 15 13 12 12 13 13 12 11 9 9 10 11 12 12 12 10 9 8 8 8 9 9 10 9 9 9 10 11 11 8 7 7 9 16 24 30 33 36 35 30 25 21 16 12 11 11 11 12 12 11 11 10 10 11 11 10 10 9 8 6 5 4 4 5 6 7 7 7 8 8 8 8 8 9 nan
nan 8 6 4 3 2 2 3 5 5 5 6 8 10 11 12 14 15 15 14 13 13 13 15 16 16 16 16 16 16 16 16 16 17 17 17 16 14 11 9 10 12 15 15 15 13 11 10 10 10 11 12 12 10 9 8 8 8 9 10 10 9 9 9 10 11 11 10 9 7 9 15 21 27 32 36 35 31 27 21 15 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 7 5 4 4 4 5 6 7 7 8 8 8 8 9 nan
nan 3 1 1 1 1 2 4 4 4 4 4 6 9 10 12 13 14 13 12 12 12 13 15 15 15 15 14 14 14 14 14 14 14 14 14 13 11 9 8 8 11 14 15 15 13 12 10 10 10 10 11 11 10 9 8 8 9 9 10 9 9 9 9 9 10 11 11 10 8 9 13 18 24 32 36 35 32 27 20 16 14 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 11 10 8 7 5 5 5 5 6 7 8 8 8 8 9 nan
nan 4 3 4 6 8 9 10 9 8 8 8 9 9 10 10 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 12 13 13 12 12 10 9 8 8 8 10 12 14 15 14 12 11 10 9 10 11 11 11 11 10 9 10 10 10 9 9 9 8 8 10 11 11 10 8 9 11 15 24 30 33 34 32 27 22 18 15 13 11 11 10 10 10 10 11 11 11 12 12 13 14 14 14 13 12 10 9 7 6 6 6 6 7 6 6 6 7 nan
nan 10 11 12 13 14 14 14 14 13 13 13 12 11 10 10 11 14 15 14 12 11 12 11 11 10 10 10 11 11 11 11 12 12 11 10 9 9 9 9 8 8 10 12 14 15 13 11 9 9 9 11 12 13 12 12 11 10 10 10 9 9 9 8 9 9 10 11 10 9 8 10 15 22 26 29 32 32 28 24 20 16 14 13 12 11 11 10 10 10 10 10 11 11 12 13 14 15 15 15 14 13 10 8 6 5 5 4 2 1 1 3 nan
nan 14 15 15 15 15 15 15 15 15 15 14 13 12 11 13 16 19 19 16 12 11 10 9 9 10 10 10 10 10 10 11 11 11 10 9 9 10 11 10 8 7 8 11 14 15 14 12 9 8 9 11 13 14 14 13 12 11 10 9 9 9 9 9 9 9 10 10 10 10 9 11 15 19 21 25 29 29 28 25 21 18 16 15 14 12 11 11 11 10 10 10 10 10 11 12 13 15 16 17 16 15 13 10 7 4 1 -2 -3 -3 -1 2 nan
nan 15 15 15 16 16 16 17 17 17 16 14 13 13 13 15 18 20 19 15 12 10 9 8 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 11 7 5 6 9 14 16 16 12 8 7 9 12 14 14 14 14 13 12 11 9 8 8 9 9 10 10 10 10 11 11 11 14 15 16 17 20 23 24 25 24 22 20 18 17 15 13 13 12 11 10 10 9 9 8 9 9 11 12 15 16 16 16 14 11 6 2 -3 -4 -4 -2 1 4 nan
nan 15 16 16 18 18 19 19 19 18 15 13 13 13 14 16 18 19 18 15 12 10 9 10 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 9 5 3 4 8 14 17 16 13 9 8 10 12 13 14 14 14 13 12 10 8 7 7 8 9 10 10 10 10 11 11 12 14 15 15 15 15 15 16 19 21 21 22 21 18 16 15 14 13 11 10 10 9 8 7 7 7 8 9 11 13 14 15 14 10 5 -1 -4 -3 -0 3 6 7 nan
nan 15 16 17 19 19 19 19 18 16 13 11 12 13 15 18 20 21 19 16 14 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 13 10 7 3 1 2 8 13 16 15 12 10 10 11 12 12 13 13 14 14 12 9 7 6 6 7 9 10 10 10 10 10 10 12 13 13 14 13 12 12 12 14 17 19 22 22 20 19 17 15 13 12 10 9 8 7 6 6 5 6 7 8 9 11 12 12 9 3 -2 -2 1 5 8 9 9 nan
nan 13 14 15 16 16 15 15 15 13 12 11 12 14 17 20 22 22 19 16 14 13 13 12 11 10 10 10 9 9 9 10 10 10 10 10 11 11 8 5 2 -0 2 7 11 14 14 12 11 12 12 11 10 11 12 14 13 12 9 7 6 6 7 9 10 10 10 9 9 9 10 11 13 13 13 13 13 12 13 14 18 21 23 22 21 18 16 14 12 11 9 7 7 7 6 6 5 6 6 7 8 9 9 7 1 -2 -0 4 8 10 10 10 nan
nan 12 12 13 13 12 12 13 14 13 12 13 14 16 19 21 21 18 16 14 13 13 12 11 10 10 9 10 9 9 9 9 10 10 9 9 10 9 7 4 2 1 3 6 10 13 12 12 11 12 11 10 10 10 11 13 13 12 10 9 7 6 7 8 9 10 10 10 9 9 9 11 12 12 13 14 14 14 13 13 16 18 20 20 19 16 14 13 12 12 10 9 8 8 7 7 7 7 7 7 8 8 8 4 -0 -2 -0 4 8 10 11 12 nan
nan 13 13 12 12 12 12 14 14 14 13 13 14 16 17 18 17 14 13 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 8 7 5 4 4 4 5 9 12 12 11 11 12 11 11 10 11 12 13 13 13 12 11 9 8 7 8 9 10 10 9 9 9 9 10 11 12 12 14 14 14 14 14 13 14 14 14 12 11 11 11 13 13 12 11 10 8 8 9 9 8 8 8 8 8 7 4 -0 -3 -2 3 7 10 11 12 nan
nan 13 13 12 12 11 12 14 14 14 14 13 14 15 15 15 13 12 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 7 6 5 4 5 8 10 11 12 12 12 11 10 10 11 13 14 14 14 13 12 10 9 8 8 9 10 9 9 8 8 9 9 10 11 12 13 13 13 13 13 12 11 11 11 10 10 11 12 14 14 13 11 9 9 10 11 10 9 10 9 9 9 8 5 0 -3 -2 1 5 9 11 11 nan
nan 13 12 11 10 10 12 13 14 13 13 13 14 14 13 13 12 11 10 10 9 9 10 11 12 11 11 10 10 10 10 9 10 10 10 10 10 10 9 7 6 4 3 4 7 9 11 12 12 11 11 10 10 11 13 14 15 14 14 12 11 9 9 9 10 9 9 8 8 8 9 9 10 11 12 12 12 12 13 12 11 11 11 12 12 13 14 15 14 13 10 9 9 9 10 11 12 12 12 11 10 10 9 7 3 -0 -1 -0 3 6 9 11 nan
nan 11 10 10 9 10 11 12 12 12 12 12 12 12 12 11 10 9 9 9 10 11 13 14 14 13 12 11 11 10 10 10 9 9 9 9 9 8 7 6 4 2 2 3 6 8 10 11 11 11 10 9 9 10 12 13 14 14 13 12 11 10 10 10 10 9 9 8 8 8 9 9 9 10 11 11 12 12 12 11 11 12 12 13 14 15 16 15 14 13 11 10 10 10 11 12 13 14 14 14 14 13 11 8 5 2 -0 -0 2 5 8 10 nan
nan 10 10 9 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 12 13 14 14 13 13 13 13 12 11 10 9 8 7 6 6 6 6 6 4 2 1 1 3 6 8 8 9 10 10 9 9 9 9 10 12 13 12 12 12 11 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 12 12 13 13 15 15 16 15 15 14 14 13 13 13 13 14 14 15 17 18 19 18 14 10 8 5 3 3 4 7 9 11 nan
nan 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 10 12 13 14 13 12 12 12 13 13 12 11 9 8 7 6 6 6 6 6 5 4 2 1 2 4 7 8 8 9 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 9 8 8 8 8 8 9 9 10 10 10 11 11 12 12 12 13 14 15 15 15 15 14 15 15 15 15 15 14 14 15 18 21 23 24 22 17 13 11 10 11 11 12 13 14 13 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 12 13 13 12 11 11 12 13 13 12 11 10 9 8 8 8 8 8 7 6 5 4 3 3 4 6 8 9 10 11 11 10 10 9 9 8 8 8 9 9 10 11 11 11 11 10 10 10 9 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 13 14 15 15 15 14 14 15 15 15 15 14 14 15 17 20 21 22 20 17 14 12 11 13 15 18 20 20 19 17 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 11 12 13 13 14 13 12 11 10 10 10 10 10 10 10 9 7 6 5 5 5 7 8 10 11 12 12 11 10 10 9 9 8 7 7 7 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 14 14 14 15 15 15 15 14 14 14 14 14 14 15 17 17 16 14 11 8 7 6 7 10 13 16 19 20 20 21 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 12 12 12 13 14 14 14 13 13 13 12 12 12 12 12 12 11 11 10 9 9 9 9 10 11 11 12 11 11 10 10 10 9 9 8 7 6 7 8 9 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 12 13 13 14 15 15 14 14 13 13 13 13 13 13 14 15 14 12 9 7 6 5 5 4 5 6 8 11 13 16 20 nan
nan 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 12 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 8 7 6 8 9 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 8 9 10 11 12 13 14 14 14 14 13 12 12 12 12 12 13 13 13 12 11 10 9 9 9 8 6 5 4 5 6 7 10 14 nan
nan 11 11 11 11 11 11 11 10 10 9 9 8 8 9 10 12 13 15 15 15 15 15 16 16 16 15 15 14 14 14 15 15 15 15 15 15 14 13 13 13 13 13 12 13 13 12 11 11 10 10 9 9 8 7 8 10 11 11 11 11 10 11 12 12 11 10 9 10 10 10 10 10 10 10 10 10 9 9 8 9 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 8 8 8 7 7 8 nan
nan 11 11 11 11 12 11 11 10 10 9 9 9 11 12 14 15 16 16 15 15 15 15 16 16 16 15 14 15 15 16 17 17 18 18 17 16 14 13 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 12 13 12 12 11 11 12 12 12 12 10 9 9 9 10 10 10 11 11 11 11 10 9 9 9 10 11 12 12 13 13 14 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 8 nan
nan 11 11 11 12 12 12 11 11 10 10 10 12 14 16 16 16 15 14 14 13 14 14 14 14 14 13 14 14 16 17 18 18 19 19 18 16 14 13 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 11 12 13 12 12 11 12 12 12 13 12 11 10 9 9 9 10 11 12 12 12 11 10 9 9 9 9 10 11 12 13 14 14 14 13 12 12 12 12 11 11 11 11 11 12 11 11 11 12 12 12 12 11 11 11 11 10 nan
nan 11 11 11 12 12 12 11 11 11 11 13 15 16 16 15 14 13 13 12 13 13 13 13 12 12 12 13 14 14 15 16 17 17 18 16 15 13 12 11 11 11 11 12 12 13 13 13 13 14 15 14 13 12 11 11 11 11 11 12 12 12 13 13 13 12 11 10 10 9 9 10 10 11 12 12 11 10 9 8 8 8 9 10 11 14 14 14 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 11 nan
nan 11 12 12 11 11 11 10 11 11 12 14 15 15 14 12 12 12 12 12 13 12 12 12 11 11 11 12 13 13 14 14 14 14 14 14 13 12 11 11 11 12 12 13 13 13 13 14 15 16 17 17 15 14 12 12 12 12 11 11 12 13 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 10 9 8 7 7 8 9 11 13 14 14 14 13 12 12 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 nan
nan 12 12 12 12 11 10 10 10 11 12 13 13 13 12 12 11 12 12 12 12 12 12 12 11 11 11 12 13 13 13 13 12 12 12 12 11 11 11 11 11 12 13 13 12 12 13 14 16 17 18 18 17 16 15 15 14 13 12 12 12 12 13 13 13 13 13 12 11 11 10 10 10 10 10 11 11 12 11 11 10 9 8 9 11 12 14 14 14 13 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 nan
nan 13 13 12 12 11 11 10 10 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 12 13 13 12 11 11 12 14 15 16 17 18 19 19 18 18 16 15 14 13 13 12 12 12 13 13 13 12 12 11 11 10 10 10 10 10 11 13 14 13 12 11 10 11 11 12 13 13 13 12 12 12 12 12 12 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 13 nan
nan 13 13 12 12 11 11 10 10 11 11 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 12 13 12 11 10 10 12 13 14 14 15 18 19 20 19 18 17 16 15 15 14 12 11 11 12 13 13 12 12 11 11 11 10 10 10 10 11 13 13 13 13 12 12 12 12 12 13 12 12 12 12 13 13 13 12 10 10 9 10 10 10 10 10 11 11 11 11 12 13 13 13 13 nan
nan 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 12 12 11 9 8 9 11 13 12 12 13 15 17 18 18 17 16 16 16 16 15 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 11 11 11 12 12 11 12 12 12 12 12 11 11 11 12 13 13 13 11 10 10 9 9 10 10 10 11 10 11 11 12 12 13 13 13 13 nan
nan 13 13 13 12 11 11 11 11 11 11 12 12 12 11 11 11 11 12 13 13 13 13 13 12 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 12 11 10 9 8 9 11 13 12 10 10 12 13 15 16 16 16 16 16 16 15 15 15 16 15 14 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 11 11 12 13 12 11 10 9 9 9 10 10 10 10 10 11 11 12 12 13 13 13 13 nan
nan 14 13 13 12 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 12 12 11 10 10 10 11 13 13 14 14 15 15 15 15 15 17 19 18 16 13 11 9 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 12 11 11 9 9 9 10 9 10 10 10 11 11 11 12 12 12 13 13 13 nan
nan 14 14 14 13 12 11 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 12 12 11 10 10 10 10 11 12 12 13 14 16 19 19 19 16 13 11 10 10 11 11 11 11 11 10 10 9 9 9 10 10 11 10 10 10 10 10 10 11 12 12 12 11 9 9 10 9 9 9 10 10 11 11 11 12 12 12 13 13 13 nan
nan 14 14 14 13 12 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 14 14 14 12 10 8 7 6 6 6 7 7 8 11 13 17 19 18 15 13 11 10 11 11 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 14 14 14 13 11 10 10 9 8 9 9 9 10 11 11 11 12 12 13 13 13 13 nan
nan 14 14 14 14 13 12 11 11 11 11 12 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 13 14 15 15 13 11 9 7 5 4 3 2 1 2 3 6 10 15 16 16 15 13 12 11 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 12 14 14 15 14 12 11 10 8 8 9 9 9 10 10 10 11 12 12 13 13 13 14 nan
nan 13 13 13 13 13 12 12 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 12 11 11 11 11 11 10 10 11 11 11 11 11 10 10 11 11 11 11 12 12 12 13 14 15 15 14 13 11 9 7 6 4 2 0 -1 -1 0 3 8 11 15 17 17 16 14 12 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 12 14 15 14 13 12 10 9 9 9 8 8 9 10 10 11 12 12 13 13 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
21 22 22 22 22 22 25 24 25 27 28 28 27 23 19 13 9 6 5 3 2 1 0 1 0 1 1 2 3 5 6 8 11 13 13 15 17 22 29 38 45 47 47 49 50 48 50 44 29 14 9 9 12 16 21 30 40 42 36 24 11 2 1 6 24 61 112 158 183 189 188 186 174 163 154 146 132 119 104 89 77 70 69 71 77 87 99 116 132 162 201 241 281 317 367 430 504 595 690 767 840 904 929 951 941 900 836 764 673 585 500 437 437
18 19 20 20 20 21 24 24 24 24 25 26 24 21 16 12 9 7 5 3 2 1 1 2 3 2 2 3 5 6 6 7 9 12 13 13 15 17 21 28 35 39 42 45 48 50 48 42 30 19 15 16 19 24 30 39 46 45 37 25 14 6 4 10 26 69 112 149 172 181 177 171 159 149 144 140 124 106 89 75 64 54 49 47 48 52 60 72 89 115 148 184 223 265 316 380 462 548 634 722 809 889 930 946 931 887 803 722 639 553 468 394 386
18 18 19 19 18 21 23 24 24 23 24 24 22 18 14 12 8 6 5 4 3 2 2 3 3 3 3 4 5 6 7 7 9 10 11 11 11 13 16 20 24 28 30 33 37 42 46 47 36 27 23 23 26 30 40 49 53 49 36 27 18 10 5 3 10 46 88 126 159 170 167 157 144 135 132 125 110 90 73 61 51 41 35 32 31 33 37 45 60 83 112 144 180 222 272 340 417 504 599 695 781 856 904 921 899 837 752 662 577 501 425 380 374
19 20 19 19 18 20 23 24 24 23 24 23 20 16 13 10 8 6 4 4 3 3 3 3 4 5 4 4 5 7 10 8 9 9 10 9 7 10 14 16 17 17 19 21 26 31 37 46 42 36 31 28 24 32 42 52 58 54 39 28 21 14 8 2 0 18 48 83 125 148 152 144 128 113 112 106 91 72 57 47 37 28 23 24 24 24 23 26 42 65 93 122 152 187 237 297 365 443 537 642 735 802 844 866 841 777 692 598 512 452 405 381 383
20 21 20 20 19 19 21 23 23 23 22 21 18 13 10 8 6 5 4 4 4 4 4 3 5 4 3 3 4 6 8 7 7 8 8 6 5 7 9 11 11 10 12 16 19 21 26 38 43 43 41 35 32 37 46 56 66 59 47 34 24 18 14 8 3 4 13 31 75 110 128 129 116 104 99 91 79 59 47 36 27 20 18 22 23 22 16 8 31 57 83 107 131 162 205 250 301 362 450 563 672 749 772 786 765 713 634 540 466 424 401 394 400
19 21 20 19 19 19 19 21 22 22 21 19 17 13 10 7 6 5 4 4 5 5 4 3 4 4 3 3 3 4 5 5 5 5 5 3 2 4 6 8 8 8 8 10 13 11 14 23 37 50 50 43 40 41 44 51 62 62 54 43 28 21 19 16 10 0 1 6 29 60 92 110 104 94 88 84 75 57 43 31 22 16 17 21 22 19 12 6 20 44 71 92 113 139 170 204 237 286 357 449 559 674 697 696 679 644 572 489 430 404 404 413 423
18 18 18 17 17 18 19 21 22 22 20 18 16 13 10 8 6 5 5 5 5 5 5 3 3 2 2 2 2 2 3 3 3 3 2 1 1 2 3 5 6 5 5 5 6 7 8 13 26 49 49 44 37 32 34 45 54 59 58 52 37 28 24 23 22 7 2 1 5 19 52 77 83 81 75 72 64 53 42 32 20 14 15 19 21 15 8 3 8 24 54 75 95 117 143 172 196 231 277 336 421 542 611 618 582 562 506 442 392 372 388 408 426
15 15 13 11 12 15 18 20 21 21 20 19 16 13 11 8 6 6 6 5 5 5 4 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 2 3 3 3 3 2 3 4 6 8 14 32 38 38 34 28 36 46 55 62 65 56 45 35 28 24 29 18 8 1 0 0 20 36 48 59 58 55 50 44 38 29 17 10 10 14 17 11 5 2 2 6 32 56 79 100 121 148 172 199 232 274 336 425 515 564 516 480 442 392 346 326 348 378 409
15 12 10 10 10 13 15 18 19 20 20 19 17 15 13 9 7 6 6 5 5 4 4 3 2 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 2 2 1 2 2 3 4 6 14 29 40 45 48 44 48 56 68 76 70 57 45 36 30 25 28 26 17 5 2 0 4 9 16 32 36 38 35 29 28 21 11 5 4 9 12 12 7 1 1 4 16 35 58 80 102 127 152 177 207 243 289 348 421 495 479 440 396 353 312 304 324 356 384
16 12 11 10 11 13 14 15 17 17 18 20 20 18 14 11 9 8 7 5 4 3 3 2 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 8 20 40 58 67 76 70 67 74 90 87 73 60 50 42 37 32 30 31 30 13 6 2 0 1 1 7 12 15 14 11 14 15 16 14 5 8 12 15 14 6 3 3 5 13 31 53 76 101 125 150 179 210 244 288 347 405 430 415 368 328 305 306 330 356 362
17 15 13 12 13 14 15 16 17 19 18 18 18 17 14 12 11 10 8 6 4 3 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 5 6 10 24 50 84 108 108 99 97 103 104 88 78 73 67 54 46 40 36 33 32 21 12 4 0 0 0 1 2 3 3 2 4 12 21 21 15 15 19 24 23 14 7 2 1 1 11 23 42 66 93 119 147 175 202 234 281 327 362 374 345 318 300 299 315 326 332
17 17 16 15 15 16 17 17 17 17 18 16 14 13 12 12 12 11 11 10 7 5 3 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 3 4 5 5 7 8 11 23 52 89 107 109 110 117 124 108 84 70 72 72 58 48 43 39 30 27 23 17 7 2 0 0 0 0 1 1 0 0 3 14 15 14 16 22 29 25 18 11 3 0 0 2 5 14 36 62 90 119 147 169 196 228 265 300 328 327 308 287 279 285 288 294
16 16 17 17 16 17 18 18 18 17 15 14 12 10 9 10 11 12 13 13 11 8 6 3 2 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 2 3 4 4 5 6 8 9 16 46 84 107 116 118 128 127 111 81 48 40 36 34 34 35 33 25 20 19 17 6 2 1 0 0 0 1 0 0 0 0 3 4 4 6 15 20 20 19 16 5 1 0 0 1 4 18 39 65 97 127 150 172 198 234 271 297 306 292 268 259 255 249 255
15 14 16 16 16 16 16 17 18 17 15 13 10 8 8 9 10 10 11 14 14 12 9 7 4 3 2 1 1 1 1 1 1 1 0 0 0 0 1 2 2 3 3 3 4 4 5 7 9 42 87 128 148 139 135 123 103 78 45 30 20 15 17 20 20 18 15 11 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 11 12 12 8 4 1 0 0 2 9 22 45 70 95 121 145 165 197 235 261 272 265 252 241 233 229 233
16 14 15 15 15 15 15 15 15 14 12 9 7 7 8 9 10 11 12 14 16 16 13 10 7 6 4 3 2 2 2 1 1 0 0 0 0 0 2 3 4 4 3 2 3 3 4 7 17 55 102 139 152 147 132 112 91 78 62 40 19 7 6 7 8 6 4 3 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 6 7 6 2 0 0 1 3 9 22 36 48 66 91 113 137 167 197 219 226 231 225 211 200 200
16 15 14 13 13 14 14 14 14 12 10 7 7 7 9 12 13 15 16 16 16 15 14 12 10 8 8 5 4 3 3 1 1 0 0 0 0 1 3 5 6 5 3 3 3 5 6 15 43 93 144 165 159 136 109 88 67 59 60 45 20 7 3 2 1 2 3 4 5 7 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 1 0 0 0 0 2 4 8 12 17 33 51 74 105 138 168 184 197 202 190 177 169
15 13 12 11 12 13 14 14 15 13 11 9 9 10 12 15 18 20 20 19 16 14 12 11 10 9 8 7 6 5 4 2 0 0 0 0 1 3 5 7 8 6 4 3 4 5 8 23 70 139 191 195 179 142 101 71 42 29 29 29 16 7 3 1 0 0 1 2 4 7 10 6 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 1 2 2 6 17 37 72 106 149 174 176 186 186 172 159
15 14 12 11 12 12 13 14 14 14 13 12 13 14 15 20 24 27 26 23 18 14 12 10 9 9 8 8 7 5 4 2 1 0 0 0 1 3 6 8 7 5 4 3 3 4 7 21 60 127 190 206 191 156 115 79 39 22 23 21 14 6 2 1 0 1 2 3 6 10 13 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 37 72 100 135 162 159 163 176 173 156
17 15 14 13 12 11 12 13 14 14 15 15 15 16 18 22 26 29 28 23 18 15 13 11 10 9 9 8 7 5 3 2 1 0 0 0 1 2 4 7 6 4 3 2 3 4 5 11 27 62 139 178 177 152 123 105 74 43 29 22 19 13 7 2 0 0 2 6 10 17 19 15 7 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 1 6 32 82 117 125 134 144 151 155 150 135
18 17 15 14 13 12 12 13 15 17 17 16 16 16 19 22 24 24 21 18 16 15 14 13 12 11 11 10 8 6 3 1 0 0 0 0 0 1 2 4 4 4 3 1 2 3 3 4 6 9 70 133 159 149 127 113 95 69 45 39 36 27 13 4 1 0 3 9 17 28 31 23 11 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 1 3 8 20 65 118 130 140 159 168 159 140 121
19 18 16 16 14 13 13 13 15 16 17 17 17 18 23 27 29 28 24 21 18 17 18 17 16 15 14 12 10 7 4 2 0 0 0 0 0 0 1 3 4 5 4 2 2 2 1 1 1 3 33 91 147 145 131 116 102 78 56 53 55 46 22 8 2 2 4 8 17 27 31 24 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 36 80 121 143 159 177 175 164 151
20 18 17 17 16 15 14 14 15 15 15 16 17 19 21 24 27 27 25 23 21 20 20 20 19 18 16 13 11 9 7 3 1 0 0 0 0 0 0 1 3 5 5 3 2 1 1 0 1 2 11 37 109 132 131 120 108 85 64 54 54 49 33 19 9 6 5 7 10 11 8 7 8 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 4 12 19 46 91 132 156 182 205 220 225
20 18 18 17 17 16 14 14 15 15 15 15 16 18 20 22 25 25 24 22 20 20 20 20 20 19 16 14 12 11 9 6 4 2 1 0 0 0 0 0 1 4 5 4 2 1 1 0 0 1 3 9 67 114 128 104 94 83 68 49 35 38 28 14 8 8 4 3 2 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 1 2 7 24 58 100 136 192 223 243 275
21 19 19 18 18 17 16 16 16 16 15 15 16 18 21 24 25 25 23 21 19 18 19 19 19 18 17 15 13 11 10 8 6 4 2 1 1 0 0 0 1 3 4 4 3 1 1 0 0 1 3 7 43 93 132 94 91 92 79 50 27 21 15 6 2 3 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 7 23 39 77 127 168 197 238
22 21 20 19 18 18 18 18 18 18 17 17 19 22 26 28 29 27 24 22 20 18 18 19 20 21 20 18 14 11 9 7 6 5 3 3 2 1 0 0 1 3 5 5 3 2 1 0 0 0 1 10 36 89 152 148 137 126 101 59 31 18 14 13 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 39 78 103 140 179
23 23 22 21 20 20 20 20 20 20 18 19 22 26 31 33 33 30 27 25 23 21 20 22 23 23 21 18 14 11 8 7 6 5 4 3 2 0 0 0 1 3 5 5 4 2 1 1 1 0 1 7 29 104 174 206 197 166 119 76 45 27 21 16 8 3 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 3 12 29 53 91 127
25 25 24 23 22 23 23 22 21 19 19 20 24 29 35 36 34 31 29 28 26 24 21 21 22 21 19 15 12 9 7 5 4 4 3 2 1 0 0 1 2 3 5 5 4 2 1 2 1 1 1 5 31 101 161 194 197 168 127 91 64 44 33 22 11 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 2 9 26 51 77
27 26 26 26 26 26 26 24 20 19 20 22 25 30 36 38 37 33 30 29 28 26 24 23 22 20 17 14 10 8 7 6 5 4 3 3 2 1 0 1 2 3 4 4 4 3 1 1 1 1 0 1 37 86 121 129 134 117 97 77 58 52 38 22 9 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 2 6 15 26 34
29 28 29 28 28 29 28 25 22 22 23 25 29 34 38 40 40 36 33 32 31 29 28 25 22 19 15 12 10 7 6 5 4 3 3 2 1 1 1 1 3 3 3 4 4 3 2 2 2 1 1 2 27 65 99 73 62 51 43 38 22 17 17 15 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 4 9 12 10
31 31 30 30 31 31 30 27 25 25 28 31 35 39 41 41 42 40 38 37 36 34 32 29 25 19 14 11 8 7 5 4 4 3 2 1 0 0 0 1 2 2 2 2 2 2 2 2 2 1 1 4 19 45 76 53 30 13 6 9 4 4 9 14 5 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 1 2 5 12 15
33 33 33 34 34 32 30 29 28 29 34 39 41 42 42 41 42 42 42 43 42 40 36 31 25 17 13 9 7 6 4 3 3 2 1 1 0 0 0 0 2 3 3 3 3 3 3 2 3 2 1 2 9 33 41 34 18 2 0 1 1 2 8 14 8 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 20
35 35 34 34 34 31 31 32 33 34 38 42 45 47 47 45 43 44 46 48 47 39 31 24 17 10 7 6 5 5 4 4 3 2 1 0 0 0 1 3 7 10 10 9 7 4 3 3 3 3 2 1 1 14 20 18 10 1 0 0 0 2 8 7 4 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 18
37 38 36 33 34 35 38 41 43 44 46 49 51 52 51 48 45 44 46 41 35 28 21 13 8 5 5 5 5 6 5 4 3 2 2 2 3 3 5 10 14 15 13 11 8 5 4 3 3 2 2 1 0 2 4 4 3 2 3 3 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12
35 36 37 35 39 45 54 61 56 53 51 53 59 56 53 49 44 41 46 40 33 24 15 9 5 4 4 5 6 5 5 4 3 2 2 3 4 6 7 8 10 10 9 8 6 5 3 2 2 2 2 1 0 0 0 0 0 1 2 2 0 0 2 3 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5
37 33 35 40 44 48 52 56 57 58 57 62 72 61 56 50 44 47 48 43 34 23 14 9 6 5 5 6 6 6 5 4 4 3 4 4 4 5 5 5 5 6 4 5 6 5 3 2 2 2 2 1 1 1 0 0 0 0 0 0 0 3 6 7 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
35 33 36 38 39 41 43 47 49 52 54 53 53 52 52 51 53 56 52 44 33 20 14 9 7 6 6 6 6 6 5 5 4 4 4 4 4 5 4 3 2 3 3 4 5 4 3 2 2 3 3 2 1 1 0 0 0 0 0 0 1 3 4 3 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25 25 26 27 30 35 39 41 42 43 43 41 40 41 43 45 56 61 55 42 30 21 15 11 9 8 7 7 7 6 5 5 5 5 4 4 5 4 4 3 2 2 3 5 5 4 2 1 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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3 6 10 13 17 18 15 13 14 14 7 12 19 23 26 28 31 33 36 32 27 24 21 18 16 15 13 11 9 7 6 6 6 6 5 4 3 3 4 3 3 2 1 2 3 4 3 3 2 1 0 0 1 1 0 0 3 17 39 55 41 18 2 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
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