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 8 9 10 11 10 10 11 12 13 13 12 12 11 11 10 10 10 9 8 7 8 10 11 12 12 11 9 8 8 9 9 9 8 6 5 3 1 1 2 5 8 12 15 17 20 22 24 25 25 23 21 20 18 16 14 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 11 10 9 8 9 9 10 11 11 11 10 10 9 9 10 9 9 9 9 9 8 8 8 9 9 10 10 9 8 7 7 7 7 8 8 9 9 10 10 nan
nan 10 11 12 10 8 8 9 11 13 13 13 12 11 10 10 11 11 10 9 8 9 10 11 12 12 11 9 9 9 9 8 8 7 6 4 2 -0 0 3 6 9 13 16 18 20 22 24 26 26 25 23 21 19 17 15 14 13 12 12 11 11 11 12 12 13 13 13 14 14 14 14 14 12 10 8 8 8 8 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 9 8 7 7 8 8 8 8 9 10 11 11 nan
nan 12 12 11 8 6 7 9 12 13 14 13 13 12 11 11 11 11 11 10 10 10 11 12 11 11 11 10 10 10 9 8 7 7 6 4 0 -2 -1 2 5 9 13 16 17 19 22 25 27 27 26 25 22 19 17 16 14 13 12 11 11 11 11 11 12 13 13 14 14 15 15 16 16 15 12 10 9 8 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 9 8 8 8 8 8 8 8 9 10 11 12 nan
nan 11 10 9 9 9 11 13 14 14 15 14 13 13 13 13 12 12 11 11 11 12 13 13 12 11 11 11 11 10 9 8 8 7 6 3 -1 -2 -2 0 4 9 12 14 16 18 22 25 27 28 28 26 23 20 18 16 14 13 12 11 11 10 10 11 12 13 13 13 14 14 15 15 17 18 15 12 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 9 9 9 8 8 9 10 12 12 nan
nan 10 10 10 12 14 16 17 17 16 16 15 14 14 14 14 13 12 11 11 12 13 14 13 12 12 11 11 11 11 11 9 8 7 6 3 -1 -3 -4 -0 4 7 9 12 15 18 22 24 26 27 28 26 24 21 18 16 14 13 12 11 10 10 11 11 12 13 13 13 13 13 13 14 16 16 15 14 12 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 10 11 12 nan
nan 11 11 12 13 16 17 18 18 17 16 16 15 15 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 7 5 2 -2 -4 -3 1 3 5 7 10 14 18 20 23 24 26 26 26 25 23 20 17 15 13 12 11 10 10 11 12 12 13 13 12 12 12 11 12 13 13 13 13 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 8 9 9 10 10 9 9 10 10 11 11 nan
nan 13 13 13 14 16 17 18 17 17 16 15 15 16 16 17 16 16 15 14 13 12 12 12 12 12 13 13 13 12 11 10 9 8 5 2 -1 -2 -1 2 3 4 5 8 12 16 19 22 24 24 24 25 25 25 23 21 18 16 13 11 10 10 11 11 12 13 13 13 12 11 11 11 11 11 12 12 11 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 10 10 10 10 10 11 nan
nan 13 13 14 15 16 16 16 16 15 14 13 15 17 18 18 19 19 19 18 16 14 13 13 12 11 12 13 13 12 11 11 9 8 6 4 2 1 2 4 4 4 5 7 10 14 18 22 24 23 22 22 24 25 25 24 22 19 15 13 11 10 10 11 11 12 12 13 13 12 11 11 11 10 11 11 11 11 11 11 11 11 12 11 10 10 9 9 9 9 9 9 9 9 8 8 9 10 10 9 9 9 10 11 12 12 12 11 11 11 11 11 nan
nan 11 12 13 14 15 15 14 12 11 10 11 15 18 19 19 20 20 20 19 18 17 16 15 13 12 11 11 11 11 11 11 9 8 7 6 5 5 5 6 6 5 5 6 8 12 17 21 22 21 21 20 21 24 25 26 25 22 19 16 13 11 10 10 10 11 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 11 12 13 14 14 14 13 13 12 11 nan
nan 9 9 9 10 12 12 11 8 6 6 11 16 19 19 19 19 18 18 17 16 16 16 16 14 13 11 10 10 11 11 10 9 7 7 7 7 7 7 6 6 6 7 8 9 12 15 17 18 18 18 18 19 21 23 25 26 25 23 20 16 12 10 10 10 10 11 12 12 12 11 11 11 11 11 10 11 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 8 8 7 7 8 9 9 9 9 10 12 13 14 15 15 16 15 14 13 12 nan
nan 9 9 8 8 10 10 9 7 5 7 12 16 18 18 17 17 16 15 14 14 14 14 14 14 13 11 10 10 11 11 10 8 7 7 8 8 8 7 5 5 5 6 8 9 11 12 13 14 15 16 16 17 19 21 24 25 26 25 23 19 15 12 11 10 10 11 11 11 11 11 11 10 10 10 9 10 10 10 11 12 12 12 12 12 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 11 12 13 14 15 15 16 16 15 14 13 nan
nan 10 10 10 10 10 10 9 8 8 10 13 15 16 15 15 15 14 13 13 13 13 12 12 12 11 10 9 9 10 10 10 9 7 7 7 8 8 7 6 5 4 4 5 8 10 12 13 15 17 17 16 16 17 19 21 23 24 25 24 21 18 15 12 10 10 10 10 11 11 11 10 10 10 9 8 9 9 9 11 12 12 13 13 12 12 12 12 12 11 11 10 10 9 9 9 10 10 11 10 10 11 11 12 13 14 14 15 15 15 14 13 nan
nan 11 12 11 11 10 10 9 9 10 11 12 14 14 13 13 13 12 12 13 13 12 11 11 10 9 8 8 8 8 9 10 9 8 8 8 8 9 9 8 6 5 4 4 6 9 12 16 20 22 21 18 17 16 17 18 19 22 24 24 23 21 18 15 12 11 10 10 11 11 11 11 11 10 9 8 8 8 9 10 11 12 13 13 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 10 10 11 11 12 13 13 14 14 14 13 12 nan
nan 11 12 11 11 10 9 10 10 10 11 11 12 12 12 11 10 10 11 12 12 12 11 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 7 6 5 6 8 12 16 21 23 21 17 14 13 13 13 15 17 20 22 23 23 21 18 15 12 10 10 11 12 12 12 12 11 10 8 8 7 8 9 10 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 12 13 13 13 12 12 nan
nan 11 11 11 10 10 10 10 10 10 10 10 11 11 10 9 9 9 11 12 12 12 11 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 8 8 11 15 18 19 18 14 11 9 8 9 10 12 15 18 21 22 21 19 16 12 11 12 14 14 13 13 13 13 12 10 8 8 8 9 10 11 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 13 13 12 12 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 9 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 12 15 16 16 13 10 8 8 8 8 9 11 14 16 17 17 16 14 13 15 17 19 17 15 13 13 13 13 12 10 9 8 8 9 9 10 11 12 13 13 13 13 12 12 12 12 12 12 12 13 12 12 11 11 11 11 11 10 11 11 12 12 13 12 12 nan
nan 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 11 12 13 13 12 11 11 10 10 10 11 11 10 9 8 9 9 10 11 11 11 10 9 9 9 9 9 9 11 13 14 15 14 12 10 9 9 9 9 10 10 11 12 12 12 12 14 17 21 22 20 16 14 14 14 14 13 12 10 9 8 8 8 8 9 10 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 nan
nan 10 10 9 9 8 8 7 8 8 8 7 7 9 10 10 10 10 10 12 13 13 13 13 12 12 12 12 13 13 12 11 9 8 8 8 8 9 10 11 10 9 9 9 9 9 8 9 11 13 15 15 13 11 10 10 10 10 10 10 9 10 10 10 11 13 17 20 21 19 17 16 15 15 15 14 12 11 10 9 8 7 7 7 8 9 10 10 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 12 12 12 11 11 11 nan
nan 9 9 8 8 8 7 7 8 8 7 7 8 10 11 11 10 10 11 12 13 13 13 12 12 12 13 14 15 14 13 12 10 8 5 5 5 6 8 10 10 10 10 9 9 9 9 9 10 12 15 16 15 13 11 10 9 9 9 9 10 10 10 10 10 12 14 17 20 20 19 19 19 18 16 14 12 12 11 10 9 7 7 6 6 7 8 8 8 8 8 7 7 7 7 8 9 10 10 10 11 11 11 12 11 11 12 12 12 11 11 10 nan
nan 8 7 6 6 7 8 9 9 8 7 8 11 12 12 10 9 10 11 12 12 12 12 12 12 12 13 14 15 15 14 12 10 7 4 3 2 3 6 8 10 11 10 9 9 10 10 9 9 12 15 16 16 14 12 11 10 9 9 9 9 9 10 10 10 11 14 18 20 22 23 23 23 22 18 15 13 12 12 12 11 9 8 7 6 6 7 7 7 7 7 6 6 6 6 6 7 8 8 9 9 10 10 11 11 11 12 12 12 12 11 11 nan
nan 6 5 5 6 8 9 10 10 10 10 11 12 12 10 8 8 10 11 12 12 11 11 12 12 12 12 13 13 13 13 11 9 6 4 2 1 2 4 7 9 10 9 9 10 10 10 9 9 11 14 16 16 14 13 11 10 9 9 9 9 9 9 9 9 11 14 18 21 22 24 25 25 23 19 15 13 13 13 13 13 12 11 9 8 7 7 6 6 6 6 6 5 5 5 5 6 6 7 7 8 8 9 10 11 11 11 12 12 12 12 11 nan
nan 6 6 7 8 9 10 11 12 12 12 11 11 10 8 7 8 10 11 12 11 11 11 11 11 11 11 11 11 11 11 10 8 6 3 1 0 1 3 6 8 9 9 9 10 11 11 10 10 11 14 16 16 14 12 11 10 10 10 10 10 10 9 9 10 12 15 17 18 19 21 24 25 23 20 17 14 13 13 13 13 13 13 12 10 9 8 7 6 6 5 5 5 5 5 5 6 6 6 7 7 8 9 10 11 11 11 11 12 12 12 11 nan
nan 8 9 9 9 8 9 10 13 13 11 9 9 9 8 7 7 8 10 11 11 10 10 11 10 9 9 9 10 11 10 9 7 5 3 1 0 1 3 6 8 8 9 10 10 11 11 10 10 11 14 16 15 14 12 10 9 9 10 11 11 11 11 11 13 15 16 16 15 15 18 21 22 22 21 18 16 14 13 13 13 13 13 13 12 11 10 9 8 7 6 5 5 5 5 5 6 6 6 7 7 8 9 10 11 11 11 11 11 11 11 11 nan
nan 9 9 9 7 6 7 9 11 11 9 8 8 9 9 8 7 8 9 9 10 10 10 10 9 8 9 10 11 11 10 9 7 5 3 1 1 1 3 6 9 10 10 10 10 11 11 11 11 11 13 14 14 13 11 9 8 8 9 10 11 12 13 14 16 16 15 14 12 12 14 17 20 21 21 19 17 15 13 12 12 12 12 12 12 12 12 11 10 9 7 7 6 5 5 6 6 7 7 7 7 8 8 9 10 11 11 11 11 10 10 10 nan
nan 8 8 7 6 7 8 9 10 9 8 7 8 8 9 8 8 7 8 9 10 11 10 9 9 9 9 11 11 11 9 8 7 5 3 2 1 1 4 7 9 11 11 10 10 11 11 11 10 10 12 13 14 13 10 8 7 7 8 10 11 12 14 15 16 15 13 12 10 10 12 14 17 19 20 19 18 16 14 13 12 11 11 11 11 11 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 10 10 10 10 nan
nan 8 8 8 9 10 10 10 9 8 8 8 9 8 9 9 9 8 10 12 12 11 8 7 7 8 9 10 10 9 8 7 6 5 3 3 3 3 5 7 10 11 11 10 11 11 11 11 10 10 11 12 13 12 11 9 7 7 8 9 10 11 12 13 13 13 13 11 10 10 10 11 14 16 18 19 19 18 16 14 12 11 10 10 10 10 11 11 12 12 12 12 11 10 9 9 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 nan
nan 9 9 11 12 12 11 8 6 7 8 9 9 9 9 9 10 11 13 14 12 9 5 4 6 8 9 10 10 9 7 6 5 5 5 5 6 6 7 8 10 11 10 10 11 11 12 11 10 10 10 11 12 12 11 9 8 8 8 9 10 11 11 12 13 14 15 14 12 10 9 10 12 13 15 17 18 18 17 16 14 12 11 10 10 10 10 11 12 12 13 13 13 12 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 nan
nan 9 10 12 12 12 10 7 6 7 9 10 10 10 10 10 11 12 14 13 10 7 4 5 7 8 9 9 9 9 8 7 6 7 7 8 8 9 9 10 10 10 10 10 10 11 12 11 10 9 9 11 12 12 11 9 8 8 8 9 10 10 11 12 15 19 19 18 15 11 9 9 10 10 12 14 16 17 18 17 16 14 13 11 11 10 10 10 11 11 12 13 14 13 13 12 11 10 10 9 9 9 10 10 11 11 12 12 11 11 11 11 nan
nan 10 11 11 11 11 9 7 8 9 11 12 12 11 11 11 11 12 13 12 9 8 7 8 9 9 10 10 10 10 9 10 11 11 11 11 11 11 12 12 12 11 10 10 10 11 11 10 9 8 9 10 11 12 10 9 9 8 9 10 10 11 11 13 17 20 21 21 17 12 11 10 9 9 10 11 13 15 16 17 17 17 15 14 13 12 11 11 10 11 11 12 13 13 13 13 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 nan
nan 11 11 11 11 11 10 10 10 11 12 13 13 13 12 11 12 13 13 12 11 11 11 11 11 11 12 12 13 13 14 15 16 16 16 15 15 14 15 14 12 11 10 10 10 11 11 10 9 8 9 10 11 11 10 9 9 9 10 11 11 11 11 13 16 18 20 20 17 15 13 11 9 8 8 9 10 12 14 16 17 18 17 17 16 14 13 12 11 11 11 11 12 12 13 13 13 12 12 11 10 10 10 11 11 12 13 13 13 13 13 12 nan
nan 11 11 10 10 10 10 11 12 13 14 14 15 14 13 12 13 14 15 15 15 14 14 14 14 14 15 15 16 17 18 18 18 18 18 18 17 17 15 14 12 11 10 10 11 11 10 10 8 8 9 10 11 11 10 9 9 10 11 11 11 11 11 12 13 15 18 19 18 17 16 13 11 9 9 8 9 10 12 13 15 17 18 18 18 17 16 14 13 12 12 11 11 12 12 12 12 12 12 12 11 12 13 14 15 16 16 16 16 15 15 14 nan
nan 10 8 7 8 9 10 13 13 14 15 16 17 17 15 14 14 15 16 17 17 17 17 16 16 17 17 18 19 18 18 17 17 17 17 17 17 16 14 12 10 10 10 11 11 11 11 10 9 9 9 10 11 10 10 9 9 10 11 11 11 11 10 11 11 14 16 18 19 20 18 15 13 11 10 9 9 9 10 11 13 15 17 18 19 18 18 17 16 14 13 12 12 11 11 12 12 12 12 13 14 15 16 18 21 22 23 24 24 22 21 19 nan
nan 8 6 6 7 9 11 13 14 13 14 16 19 20 19 18 16 16 16 17 17 17 17 15 15 16 17 19 20 18 17 16 15 15 15 15 14 12 11 10 9 9 10 11 12 12 11 10 9 9 9 10 10 10 10 9 10 10 10 11 10 10 10 10 11 13 15 17 20 21 20 18 16 13 11 9 9 9 9 10 11 13 14 16 17 18 18 19 18 17 16 15 14 13 13 13 13 13 14 15 17 18 20 22 25 27 28 29 29 28 28 26 nan
nan 8 7 8 9 10 12 13 13 12 13 14 18 21 21 21 20 18 18 17 16 15 14 12 12 13 15 17 18 17 16 14 13 13 13 12 11 10 9 9 9 9 10 11 11 12 11 11 10 10 9 10 10 10 9 9 9 10 10 10 9 9 9 10 11 12 13 16 20 23 23 22 19 15 12 11 11 10 9 9 9 10 12 13 15 17 18 20 20 19 19 18 17 17 16 16 16 17 17 18 19 20 22 23 25 27 28 28 26 23 23 24 nan
nan 9 9 9 10 11 12 12 12 12 12 13 15 18 20 22 22 23 22 19 16 13 11 10 10 11 13 15 15 15 14 13 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 11 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 11 12 15 19 23 25 26 23 18 16 14 12 10 9 9 9 10 11 12 14 16 19 20 21 22 22 21 21 21 21 20 20 20 20 20 20 20 20 21 20 20 18 16 14 11 10 11 nan
nan 8 8 9 9 10 10 11 12 12 12 12 12 14 16 19 23 24 23 19 15 12 10 9 9 11 13 13 13 13 12 11 10 9 8 7 8 8 9 10 10 10 9 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 14 17 20 24 26 24 21 19 18 16 13 12 11 11 11 12 13 15 17 19 21 22 23 23 24 24 24 24 23 23 22 22 21 19 17 16 14 12 8 4 2 3 4 5 6 nan
nan 6 7 7 8 9 10 11 12 11 10 9 11 12 14 17 21 22 22 18 14 11 10 9 10 11 12 12 12 11 11 10 9 8 7 7 8 10 11 11 11 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 12 13 14 16 19 19 19 18 18 18 18 17 16 15 14 14 14 15 16 18 20 21 22 23 24 24 24 24 24 23 23 22 21 18 16 13 10 6 1 -2 -4 -3 2 6 9 9 nan
nan 5 6 7 9 11 11 12 12 10 6 5 8 11 14 16 19 20 19 17 13 12 10 10 11 12 12 12 11 11 10 10 9 8 8 9 10 12 12 12 10 9 9 11 12 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 13 13 13 14 14 13 13 13 15 16 15 15 16 17 17 18 17 17 18 19 20 21 21 22 23 23 23 23 22 21 21 19 17 14 11 8 4 0 -3 -4 -3 1 5 9 11 12 nan
nan 7 8 10 13 14 13 13 12 7 1 0 4 8 12 16 18 18 17 15 13 12 12 12 12 12 12 11 11 10 10 10 9 9 10 10 12 12 12 10 8 7 8 11 13 14 13 11 10 10 10 9 9 10 10 10 10 10 9 8 7 8 9 11 12 13 13 13 14 14 13 12 12 13 13 13 12 12 15 18 20 22 21 19 20 20 20 20 20 21 21 21 21 20 19 18 17 15 13 10 7 5 3 1 1 1 3 6 8 10 10 11 nan
nan 10 11 12 14 14 12 12 12 6 0 -1 1 6 12 16 18 17 14 12 12 13 13 12 11 11 11 10 10 10 9 9 10 10 10 11 11 11 9 7 4 4 7 11 14 15 14 12 10 10 9 9 9 10 10 11 11 10 9 8 7 7 8 10 12 13 13 13 14 14 13 14 14 14 14 13 13 13 15 18 21 22 22 21 21 19 18 17 18 19 19 18 17 17 16 14 13 11 9 7 6 5 5 5 4 5 6 8 9 10 10 10 nan
nan 13 13 13 13 13 12 13 12 8 4 2 3 7 12 15 15 13 11 11 12 13 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 8 6 3 1 2 5 9 14 16 14 12 11 10 10 9 10 10 11 12 12 11 10 9 8 7 8 9 10 12 13 13 13 13 13 15 15 15 15 16 15 16 16 16 18 19 17 15 13 12 11 12 14 16 16 15 14 13 12 11 9 8 7 6 6 6 7 6 5 6 7 8 9 9 9 10 nan
nan 14 14 13 12 12 12 14 14 11 10 8 8 10 11 11 11 10 10 11 12 12 11 10 11 11 10 10 10 10 10 9 9 9 10 10 9 6 4 1 0 2 4 8 13 15 14 13 11 10 10 10 10 10 11 12 13 13 12 10 9 8 8 8 10 11 12 12 12 12 13 14 15 16 16 16 16 16 15 14 13 10 7 4 2 3 4 7 11 12 12 10 9 8 8 8 8 6 6 7 7 8 8 7 7 8 9 10 10 9 9 9 nan
nan 14 14 12 12 11 12 13 14 13 12 12 12 11 10 9 8 8 10 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 7 5 2 2 3 4 7 11 13 14 14 12 11 10 10 10 10 11 12 13 13 13 11 9 9 9 9 10 11 11 11 11 12 13 14 14 15 15 15 15 14 13 12 9 6 3 1 1 2 4 6 7 5 2 1 1 2 4 6 6 6 6 7 8 8 8 9 10 11 11 11 11 10 10 10 nan
nan 13 12 12 11 11 11 12 13 13 12 12 11 11 10 8 7 8 9 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 7 5 3 2 3 6 9 12 14 14 12 11 11 10 10 10 11 12 12 13 12 11 10 9 9 10 11 11 11 11 11 12 12 13 14 15 15 14 14 12 11 10 9 8 7 7 8 8 8 7 3 -2 -6 -6 -4 -3 -2 1 3 5 6 7 7 8 9 10 11 11 11 11 10 10 10 10 nan
nan 12 11 11 11 11 11 12 12 12 11 11 10 10 10 9 7 7 8 9 11 12 13 14 13 13 13 13 12 11 10 10 9 9 9 9 9 8 7 5 3 1 1 4 8 11 12 13 12 12 11 10 10 10 11 11 12 12 11 11 10 10 11 11 12 12 11 11 11 12 12 13 14 14 14 14 12 11 11 11 11 11 11 12 11 11 10 7 4 0 -1 -2 -3 -4 -4 -2 -1 1 4 6 7 9 9 9 9 10 11 10 10 10 11 11 nan
nan 11 10 10 10 11 11 11 11 11 11 10 10 10 10 8 7 7 8 10 12 14 14 13 12 13 14 14 13 12 11 10 9 8 7 6 6 5 5 3 1 -0 1 4 7 9 11 11 12 11 11 11 11 11 11 11 11 11 11 10 10 11 12 12 12 12 12 11 11 11 12 13 14 14 14 14 13 12 11 12 12 12 12 12 11 10 10 8 7 7 7 5 4 2 1 -1 -1 1 5 7 9 10 9 9 9 10 10 10 10 12 14 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 7 9 11 13 13 12 11 11 13 14 15 13 12 10 9 8 7 6 5 4 4 3 2 1 1 2 4 6 9 10 11 12 12 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 13 14 14 14 14 13 13 12 12 12 12 12 12 11 10 10 9 9 10 9 9 8 8 6 5 5 8 10 11 11 9 8 8 9 10 11 11 13 15 16 15 nan
nan 10 9 9 10 10 10 10 9 9 10 10 11 11 10 9 8 8 10 12 13 12 11 11 12 13 14 13 12 11 10 10 10 9 8 7 6 5 4 3 3 3 4 6 8 10 11 12 13 12 12 11 11 11 11 10 10 11 11 11 11 11 12 11 11 10 9 9 10 10 12 12 13 13 13 13 13 12 13 13 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 12 12 11 8 4 3 3 4 6 9 11 13 15 15 15 15 nan
nan 10 9 9 9 10 10 10 9 9 9 10 11 11 10 9 8 9 11 12 12 11 11 12 13 13 13 12 11 11 12 13 13 12 12 11 9 7 6 6 7 7 8 8 9 11 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 12 12 11 11 11 12 12 11 12 12 11 11 11 9 9 10 10 10 10 11 11 11 12 12 10 5 -0 -4 -5 -4 -2 1 4 7 8 9 10 12 15 nan
nan 9 9 9 9 10 10 10 9 9 9 10 10 11 10 9 8 9 10 11 12 12 12 13 14 14 14 13 13 13 14 15 15 14 14 13 12 11 10 11 11 11 10 10 11 12 13 13 12 12 11 11 12 12 12 12 13 12 11 11 10 9 10 10 9 9 10 10 10 11 11 12 12 11 11 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 9 6 3 -1 -3 -3 -2 -2 -1 -1 -1 -1 0 3 6 11 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 10 12 13 14 14 15 15 15 14 14 15 15 16 16 16 15 15 14 14 14 14 14 14 13 12 12 12 13 13 13 12 12 11 12 12 12 13 14 13 13 12 10 9 9 9 9 9 10 10 11 11 11 11 12 11 11 10 9 9 9 10 10 11 12 12 12 12 11 11 11 10 10 10 10 11 11 10 9 8 7 6 5 5 5 4 4 2 -0 -3 -4 -4 -2 -0 2 nan
nan 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 14 14 15 16 16 16 15 15 15 15 16 17 18 18 17 16 16 15 14 15 15 15 14 13 13 13 14 14 13 13 12 12 12 12 13 14 14 14 13 12 11 10 9 9 9 9 10 10 10 10 11 11 11 10 9 9 9 8 8 9 9 10 11 11 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 5 4 2 1 -0 -2 -3 nan
nan 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 14 15 15 15 15 16 16 15 14 14 16 18 19 20 20 19 18 17 15 14 14 14 14 13 13 14 14 15 14 14 14 13 12 12 12 13 14 15 14 14 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 10 11 11 11 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 3 1 nan
nan 10 10 10 11 12 13 13 14 14 13 13 13 14 15 15 14 14 13 14 14 14 14 14 14 13 13 13 16 18 20 20 20 19 18 17 15 14 13 13 13 13 13 14 15 15 15 15 15 14 13 13 12 13 14 15 15 15 15 15 15 14 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 6 nan
nan 10 10 11 12 13 13 14 15 15 15 15 14 14 14 13 13 12 12 13 13 13 13 13 12 11 11 13 14 16 17 18 18 17 17 16 14 13 13 13 13 14 14 15 15 15 16 16 16 15 14 13 12 13 14 16 17 17 17 17 17 16 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 nan
nan 10 11 12 12 13 13 14 14 14 15 15 14 14 12 11 11 11 12 13 13 13 12 12 11 11 11 12 13 14 15 15 15 15 15 14 13 12 12 12 13 14 15 15 15 16 16 17 16 16 14 13 13 13 15 16 17 17 17 18 18 16 15 13 12 11 11 10 9 9 10 10 10 11 11 10 10 9 8 7 7 8 9 10 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 10 10 10 10 10 10 9 8 nan
nan 11 11 12 12 13 13 13 14 14 14 14 13 12 12 11 11 11 12 13 13 13 12 11 11 11 11 12 13 13 14 14 14 13 13 13 12 11 11 10 11 13 14 15 15 15 16 16 16 15 14 14 14 14 15 16 17 17 17 18 17 16 14 13 12 11 11 10 10 10 10 10 10 10 10 10 9 8 7 6 7 8 9 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 nan
nan 11 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 14 13 13 12 11 12 12 12 13 13 14 14 13 12 12 12 12 11 10 10 10 11 13 13 14 15 15 16 15 15 15 15 14 15 15 16 16 17 17 16 16 15 14 13 12 12 11 10 10 10 10 10 10 10 9 9 9 8 7 8 9 10 11 12 12 11 11 11 11 11 11 12 12 12 12 11 11 10 11 11 11 11 11 11 12 12 11 11 11 11 11 10 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 13 12 12 12 12 13 13 14 14 14 13 12 12 12 12 12 11 11 11 11 11 12 13 14 14 15 14 14 15 15 16 16 16 15 16 17 16 16 15 14 13 13 12 12 12 11 11 10 10 9 9 9 9 8 8 9 10 11 12 13 13 13 13 12 12 12 11 11 12 13 14 13 12 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 nan
nan 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 12 12 12 13 13 13 13 14 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 13 14 16 17 17 17 16 16 16 16 17 16 15 14 13 13 12 12 11 11 10 9 9 9 9 9 9 10 11 12 12 13 13 13 13 12 12 12 12 11 12 14 15 15 13 11 9 9 9 10 11 10 11 11 11 11 11 11 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 12 12 11 11 13 15 17 18 18 18 17 17 17 18 17 16 15 15 14 13 12 11 10 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 13 15 15 13 10 8 8 9 10 10 10 10 11 11 10 10 11 11 11 11 12 12 12 nan
nan 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 11 11 10 10 9 10 12 14 16 17 17 18 18 19 19 18 17 17 17 16 15 13 10 9 9 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 13 14 14 12 9 7 6 7 9 9 10 10 10 11 10 10 11 10 10 11 11 11 11 11 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 8 8 9 10 12 13 14 15 17 18 17 18 19 19 19 18 14 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 12 9 6 5 6 7 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 10 10 10 9 9 7 7 7 8 8 9 10 11 13 14 16 17 18 19 19 17 15 13 11 10 11 11 11 11 11 11 10 10 10 9 9 9 9 10 11 11 12 13 12 10 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 nan
nan 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 13 12 12 12 11 11 11 10 11 10 10 9 8 8 7 6 6 7 7 8 9 10 11 11 14 18 17 17 16 14 12 12 12 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 12 11 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 11 11 11 11 11 12 nan
nan 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 10 10 9 8 8 7 7 7 7 6 6 5 5 8 10 12 16 18 17 17 15 13 11 11 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 10 9 8 9 9 8 8 9 9 10 11 11 11 12 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 1 2 3 2 2 1 1 1 1 2 6 10 12 10 7 4 3 3 3 4 5 5 5 5 5 5 5 4 5 10 23 48 84 144 222 284 315 373 409 405 382 380 362 429 496 492 431 418 418 422 428 433 416 404 398 396 394 400 391 386 396 419 459 524 604 686 762 836 946 1046 1119 1166 1203 1212 1193 1144 1079 1036 1080 1127 1153 1149 1155 1114 1076 1051 1034 1002
0 0 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 3 3 3 3 5 7 10 12 13 10 7 4 2 2 3 4 4 4 4 4 4 4 4 4 5 9 19 43 78 126 188 246 284 327 367 390 352 364 391 434 477 490 462 449 445 437 407 407 403 398 399 409 406 407 406 409 424 442 474 521 583 651 717 792 877 959 1025 1069 1106 1119 1110 1077 1006 988 1022 1087 1148 1129 1141 1134 1105 1060 1019 957
0 0 0 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 3 4 6 8 11 12 12 12 11 9 6 4 2 1 2 3 3 3 4 4 3 3 4 6 9 12 24 44 71 110 159 212 255 285 311 375 373 386 420 460 466 447 428 420 430 468 432 409 398 393 396 406 405 403 404 406 428 446 474 518 573 620 677 743 810 870 925 965 1000 1028 1043 1019 969 951 986 1068 1118 1129 1142 1140 1117 1065 993 914
1 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 1 2 4 7 11 12 13 13 11 9 8 7 5 2 2 2 2 3 3 3 4 3 3 3 6 13 20 28 40 52 64 101 139 179 219 259 277 349 397 417 416 418 405 377 350 328 326 392 413 402 390 386 390 396 400 401 400 399 410 425 450 497 540 585 636 693 751 796 843 885 930 988 992 963 937 939 984 1074 1123 1144 1145 1134 1104 1042 957 865
1 1 0 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 12 15 15 12 9 6 5 6 7 4 0 1 1 2 2 3 4 4 4 3 4 8 25 38 48 55 64 68 94 127 160 187 243 278 329 377 407 374 336 311 302 301 263 243 265 301 331 339 354 367 373 374 383 386 388 393 402 419 466 507 548 591 642 700 753 801 841 877 926 931 925 927 950 1004 1069 1100 1109 1114 1099 1061 1005 927 828
2 2 1 2 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 16 17 14 7 3 3 3 3 2 1 0 0 0 1 1 2 3 5 5 4 5 9 25 48 68 77 85 87 98 123 159 162 212 265 306 328 369 346 316 298 298 308 271 232 202 203 244 269 298 324 340 341 348 354 358 362 366 384 415 455 499 538 591 652 714 767 800 837 877 897 907 923 962 1026 1082 1101 1081 1073 1048 1011 960 892 801
4 3 2 2 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 13 14 10 4 3 3 2 1 0 0 0 0 0 0 1 2 3 4 5 5 6 8 16 38 76 87 97 104 110 114 146 154 181 225 275 278 313 331 334 331 351 354 327 293 264 222 230 236 250 273 297 315 325 327 321 319 314 322 343 378 428 471 526 590 654 711 745 789 834 871 892 916 960 1022 1076 1088 1066 1035 996 956 916 856 782
6 5 5 5 6 6 4 3 2 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 4 6 8 9 9 7 5 2 2 2 2 0 0 0 0 0 0 0 1 2 2 3 4 5 6 6 9 18 45 67 88 106 114 108 120 128 138 155 208 226 255 293 334 351 384 390 377 361 368 331 290 256 238 252 266 281 297 307 289 276 265 260 266 286 332 380 438 504 563 620 671 720 769 819 853 887 932 987 1038 1048 1030 990 940 897 863 819 767
12 9 9 9 10 11 11 10 8 7 6 6 5 4 4 4 3 3 2 1 1 0 0 1 2 4 7 10 11 11 9 7 4 3 1 1 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 4 2 9 22 39 62 93 103 103 105 108 111 108 145 185 214 228 285 319 351 379 405 409 400 369 325 275 230 232 244 251 250 273 258 242 221 201 195 209 239 279 330 398 452 512 575 637 692 755 810 852 892 946 989 1008 994 948 893 846 817 786 744
17 15 14 14 16 18 18 17 15 14 13 13 14 13 10 8 8 12 13 11 8 3 1 1 3 5 9 13 14 13 10 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 4 2 4 7 15 31 65 81 90 95 95 99 97 117 156 201 185 219 253 282 309 354 363 351 322 279 219 175 181 219 239 205 217 216 204 182 155 147 151 168 194 225 275 337 405 475 540 604 671 736 794 839 894 945 975 961 907 861 820 795 773 727
16 15 16 18 20 19 18 15 14 13 13 12 11 10 9 9 9 17 28 36 28 15 7 5 8 10 12 16 18 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 3 2 3 4 12 35 59 78 85 84 91 97 106 121 179 187 194 203 214 222 251 271 275 255 222 155 102 84 107 154 159 172 181 176 157 134 118 111 113 125 149 186 237 303 375 434 491 562 640 709 768 837 898 923 892 833 798 779 760 739 710
16 15 16 18 19 16 13 11 10 8 7 6 6 5 5 7 8 11 17 20 24 17 10 10 11 14 20 23 22 17 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 5 5 7 8 6 9 17 37 67 75 78 85 95 106 111 147 174 187 180 182 183 185 194 213 210 192 148 87 29 44 83 110 134 157 151 136 118 101 87 80 84 94 117 160 224 286 344 412 489 558 639 733 816 857 843 798 742 711 707 700 693 681
15 14 15 17 17 15 13 12 12 10 8 6 5 4 4 5 7 8 8 7 7 6 5 5 6 13 19 20 16 10 6 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 14 15 14 12 11 10 15 45 60 70 79 89 106 105 110 140 179 171 178 186 180 162 170 180 172 143 99 53 68 88 98 103 125 122 111 100 88 75 64 57 61 84 121 163 209 270 345 423 512 602 666 680 677 749 742 699 673 657 665 662 659
16 15 16 16 17 17 16 15 15 14 12 9 7 4 3 3 4 4 5 5 5 5 5 4 4 6 7 7 6 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 14 20 21 18 14 13 13 10 25 44 60 72 84 93 90 84 91 135 152 176 198 202 173 168 174 170 146 120 105 100 97 92 81 90 98 98 86 74 63 57 57 62 72 95 129 178 239 314 408 494 566 627 648 705 759 743 686 679 632 628 647 648
16 14 15 16 16 16 15 14 13 12 10 8 6 4 3 2 1 1 3 4 4 5 6 6 6 6 5 4 4 3 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 24 26 21 17 16 19 20 22 33 48 59 70 79 93 95 65 82 110 137 162 194 189 177 177 187 168 151 138 119 97 78 65 64 71 77 68 61 54 49 47 47 59 83 115 155 211 310 405 487 571 641 700 746 722 634 596 627 616 584 596 604
15 13 12 13 14 13 12 11 10 10 9 6 5 4 3 3 3 3 3 4 4 5 5 6 8 9 9 6 5 4 3 2 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 24 31 31 24 20 21 25 25 25 32 39 47 53 54 45 35 38 55 85 116 147 163 160 152 172 163 145 125 104 80 59 47 42 41 43 43 47 46 38 36 42 56 81 123 197 300 368 422 496 577 633 681 686 627 535 523 542 549 537 543 548
12 11 11 12 12 12 12 12 11 10 8 7 5 5 5 5 5 5 5 5 5 5 5 6 7 9 10 8 6 4 3 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 21 33 41 36 27 20 17 17 18 18 18 20 23 21 16 16 16 20 40 47 55 81 106 102 110 110 100 81 63 46 36 30 26 23 21 21 26 30 25 27 36 55 87 137 200 247 303 385 457 529 594 629 600 564 510 490 508 504 492 492 495
10 11 11 12 12 13 13 14 13 11 9 8 7 7 7 7 8 8 8 7 6 5 5 5 6 8 7 6 5 3 2 1 1 2 2 1 0 1 1 1 0 0 0 0 0 0 0 0 1 2 5 7 13 23 36 41 37 28 20 17 16 12 7 5 4 4 4 10 13 11 18 31 31 29 48 58 60 58 53 47 38 28 22 19 15 13 10 9 10 12 10 13 22 39 66 99 143 208 280 327 375 436 487 505 508 498 462 435 457 459 453 445 437
11 11 11 12 13 13 13 12 13 12 11 10 9 8 8 9 8 8 8 7 6 5 5 5 6 6 6 5 3 2 1 1 1 2 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 1 3 5 8 12 23 38 43 38 29 23 19 13 5 1 0 0 0 1 3 3 3 8 12 9 17 29 35 34 31 28 24 20 17 15 9 6 5 3 3 3 1 2 5 11 20 39 71 117 169 227 288 339 367 382 397 399 381 358 372 376 379 382 378
11 11 11 11 12 13 13 12 13 14 14 13 11 10 9 9 8 7 6 6 5 5 6 6 6 6 6 4 2 1 0 0 1 2 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 2 4 5 6 14 29 41 42 38 31 23 15 7 2 0 0 0 0 0 0 0 0 0 1 2 11 23 27 23 23 21 19 18 15 10 6 4 3 1 1 1 0 0 1 4 18 45 86 147 213 267 293 294 259 274 311 305 279 285 303 314 322 336
11 11 11 11 12 13 14 14 14 14 14 14 12 11 10 9 8 7 6 6 5 6 7 7 7 7 6 4 2 1 0 0 0 1 2 3 3 3 2 1 1 0 0 0 0 0 0 0 0 1 2 3 4 4 10 21 35 43 42 34 23 14 8 2 0 0 0 0 0 0 0 0 0 0 1 5 17 25 25 23 22 21 19 17 12 6 3 2 0 0 1 1 0 0 2 8 31 80 150 222 276 299 303 286 264 256 259 245 244 265 276 271 277
12 12 12 12 13 14 15 15 14 13 14 15 13 11 9 7 7 7 6 6 6 7 7 7 7 7 6 5 4 2 1 1 1 2 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 2 5 12 23 33 35 29 18 10 6 3 2 1 0 0 0 0 0 0 0 0 0 2 7 12 13 12 14 16 15 13 9 3 1 0 0 0 1 1 0 0 0 2 8 45 104 171 230 265 283 282 264 211 200 199 189 196 214 211 207
12 11 12 12 13 13 15 17 17 16 15 14 13 11 8 7 7 6 6 6 6 6 6 6 6 7 6 5 4 4 3 3 2 3 3 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 1 2 2 2 2 4 11 20 23 19 10 5 6 8 7 4 2 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 3 17 46 86 136 171 193 251 282 240 187 163 139 117 124 144 151
12 12 13 13 14 14 14 16 17 17 15 12 11 11 9 7 6 6 5 5 5 5 6 6 5 6 6 5 5 4 4 4 3 3 4 3 2 2 2 3 3 2 2 1 0 0 0 0 0 0 0 1 1 1 0 0 5 10 12 9 6 5 8 12 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 20 34 60 94 133 178 216 212 161 129 115 94 84 96 98
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14 15 15 15 16 18 19 20 20 18 16 14 14 15 15 14 12 9 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 3 2 1 1 2 3 3 2 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 2 3 7 5 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 1 2 4 6 8 10 13 15 17 19 26 20 13 14 17 17 26 30
16 16 16 18 18 19 20 21 22 20 18 17 18 19 19 18 15 11 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 2 2 3 2 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 3 4 6 11 9 6 3 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 1 1 1 1 2 4 5 8 8 5 7 11 7 4 5
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18 18 19 20 21 22 25 27 26 25 23 22 20 22 23 23 20 15 12 9 7 6 5 4 4 4 4 3 3 3 3 2 2 2 2 1 0 0 1 2 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 8 12 14 11 8 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 2 6
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18 17 17 18 19 21 24 26 27 26 24 22 23 26 30 34 29 24 19 15 11 9 8 7 6 5 4 3 2 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 9 11 13 12 8 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 1 3
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