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 8 11 12 11 9 8 8 9 9 9 9 9 9 9 9 9 9 9 11 11 11 11 12 13 14 15 16 16 16 16 17 20 21 19 16 11 8 5 4 2 2 2 3 4 5 6 6 7 7 8 8 7 6 6 7 8 12 18 23 26 27 27 26 22 20 20 20 20 20 18 15 11 7 6 6 8 9 10 10 9 9 9 9 10 11 12 12 12 13 13 13 12 12 12 12 11 10 9 9 8 8 8 7 8 8 9 10 11 12 nan
nan 8 9 9 10 12 10 9 7 7 8 9 9 9 10 10 10 10 10 10 11 13 12 10 10 11 12 13 15 16 16 16 15 17 19 21 20 17 13 8 5 3 2 1 1 2 2 4 4 5 6 8 9 9 8 7 6 5 7 11 16 21 24 26 28 26 24 22 20 19 20 21 21 19 15 10 8 6 6 7 9 10 10 10 9 9 10 11 11 12 12 12 13 13 12 12 12 12 12 11 10 10 9 9 9 8 9 9 10 10 11 12 nan
nan 11 10 9 9 10 10 9 7 7 8 9 9 10 11 11 11 11 11 11 13 14 12 10 9 10 11 13 14 15 15 15 15 16 17 19 19 17 13 9 5 3 1 0 0 1 1 2 3 4 5 7 8 8 8 7 5 5 6 9 13 17 22 26 27 26 25 23 19 17 18 19 21 20 17 14 10 8 6 5 7 8 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 12 12 12 12 12 11 10 10 10 10 10 11 11 11 10 nan
nan 10 9 8 8 9 10 9 8 8 9 10 10 10 11 12 12 12 13 14 15 14 12 10 10 10 11 11 12 14 16 16 15 14 14 15 16 16 13 10 6 2 1 0 0 -0 0 0 1 3 4 5 7 8 8 7 6 6 6 7 10 15 22 25 26 26 25 23 19 17 16 16 17 18 18 17 14 11 8 7 7 7 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 12 11 11 11 11 11 10 9 nan
nan 10 9 9 9 10 10 10 10 11 11 11 10 10 11 12 13 14 14 15 15 13 10 10 11 11 11 10 11 14 16 16 15 14 14 14 15 15 14 11 7 3 2 1 0 -0 -0 0 1 2 2 3 5 7 7 7 7 6 6 6 8 14 20 23 25 26 25 23 20 18 15 13 14 15 16 17 17 15 13 12 10 9 10 10 11 11 12 13 13 13 13 12 11 10 9 9 10 10 10 10 11 13 13 13 13 12 12 12 12 12 10 9 nan
nan 10 10 10 10 10 10 10 11 12 12 11 9 9 11 12 14 15 15 14 13 11 10 12 13 13 11 10 11 14 14 15 15 16 16 15 15 15 14 12 8 6 3 2 0 1 1 1 1 2 2 2 4 5 6 7 7 6 5 6 8 13 17 21 25 27 26 23 22 19 15 12 12 12 13 15 16 17 17 16 13 11 11 10 10 11 12 14 15 17 18 17 15 13 11 10 11 11 11 10 10 11 12 13 13 13 13 13 13 12 12 11 nan
nan 11 10 10 10 10 10 10 10 10 9 9 9 10 11 13 14 15 14 13 12 10 11 12 13 13 11 10 10 12 13 14 17 19 17 16 16 15 14 12 10 7 5 3 2 2 2 2 2 3 2 2 3 3 4 6 6 6 6 6 8 10 14 20 25 27 25 24 22 19 16 14 12 9 9 11 12 14 15 14 12 11 10 9 8 9 10 11 14 17 20 21 21 18 14 12 13 13 13 12 12 12 12 13 14 14 14 14 14 14 14 14 nan
nan 11 10 9 10 10 10 10 9 8 7 7 9 12 13 13 14 14 14 13 12 11 11 12 13 14 11 9 10 11 13 16 19 18 17 17 16 15 13 12 10 7 6 4 3 3 3 3 4 4 3 3 3 2 4 5 6 6 6 6 7 8 13 20 25 26 25 23 21 19 18 16 13 9 7 7 8 10 11 11 10 9 7 5 5 5 6 7 10 14 17 21 23 20 16 15 15 15 15 15 14 14 15 15 15 15 15 15 16 16 16 16 nan
nan 10 9 9 10 11 10 10 8 6 5 7 10 13 13 13 12 12 12 12 11 11 11 12 14 14 11 10 10 12 14 15 16 16 16 17 17 15 14 11 9 7 5 4 4 3 3 3 4 4 4 4 4 4 5 6 7 7 7 6 6 7 12 19 23 25 26 23 21 19 18 17 14 10 8 6 6 7 8 8 8 7 6 4 3 2 3 4 6 8 11 15 18 18 17 16 14 14 14 14 15 15 16 16 17 16 16 16 16 16 16 16 nan
nan 9 8 9 10 11 10 9 7 5 5 8 12 14 13 12 11 11 11 11 11 11 12 13 14 13 11 11 13 13 13 12 12 12 14 16 17 16 15 13 11 9 7 6 5 4 3 4 4 4 4 5 5 6 7 7 7 8 7 6 5 6 11 16 21 26 27 24 21 19 18 17 15 13 11 8 7 7 7 8 8 7 6 5 3 2 2 3 4 5 6 10 12 12 13 13 11 11 11 11 12 13 15 16 17 16 16 16 15 15 15 14 nan
nan 9 9 9 10 11 11 9 6 4 6 10 13 14 13 11 10 10 10 10 11 11 12 12 12 12 11 12 12 12 11 10 10 11 13 14 15 16 16 15 14 12 11 10 8 7 7 6 5 4 4 6 6 6 5 5 7 8 8 7 6 7 9 14 21 27 27 25 21 19 17 16 16 15 13 10 9 9 9 9 9 9 7 6 5 3 3 3 3 3 4 6 6 7 8 8 8 8 8 8 9 10 11 13 14 15 15 15 14 13 12 12 nan
nan 9 10 10 11 11 10 9 7 6 7 10 13 14 13 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 13 14 15 17 17 16 15 14 13 11 10 9 8 6 4 5 6 6 5 4 4 7 9 10 10 8 8 9 14 22 27 28 26 23 19 17 16 16 15 14 12 12 11 11 11 10 10 9 7 5 4 4 3 3 3 4 4 4 4 5 5 5 6 6 7 7 7 8 10 11 12 13 13 13 12 11 10 nan
nan 10 10 10 11 10 10 9 8 8 9 11 12 13 12 12 12 12 11 10 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 12 14 16 18 18 18 16 14 12 11 10 9 7 5 4 5 6 6 5 5 7 9 11 13 12 10 9 10 15 22 27 29 29 25 20 17 16 15 15 14 14 14 13 12 12 11 11 10 8 6 5 5 4 3 3 3 4 4 4 4 4 5 6 7 7 7 7 7 7 8 11 12 12 12 12 11 10 nan
nan 10 11 10 10 10 9 8 8 9 9 10 11 12 12 12 11 11 10 10 10 10 10 9 9 9 8 9 9 9 9 9 11 11 11 12 14 16 18 18 17 15 13 11 9 8 7 6 5 5 6 7 7 8 9 10 12 14 16 15 13 11 12 16 22 28 32 32 27 23 19 16 15 15 15 15 14 14 13 13 12 11 10 9 8 7 5 4 4 4 4 4 5 5 5 5 5 6 7 8 8 8 8 7 8 9 11 11 12 11 11 10 nan
nan 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 8 8 9 9 9 10 11 12 13 13 14 14 15 16 17 16 14 12 11 9 8 7 6 6 7 7 7 8 9 11 12 13 16 17 16 14 13 15 18 23 27 30 31 29 25 21 17 16 16 15 15 14 14 13 13 12 11 10 10 9 7 6 6 6 5 5 6 6 6 5 5 5 6 7 8 9 10 9 8 8 9 10 10 11 12 11 10 nan
nan 10 10 10 9 9 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 13 15 16 17 16 15 14 15 15 14 14 12 11 10 9 8 7 8 8 8 7 7 8 10 11 12 13 14 14 14 14 16 19 21 22 24 27 28 27 23 19 17 16 16 15 14 14 13 12 11 11 11 10 9 8 8 7 7 7 7 7 7 7 6 5 5 5 6 7 9 10 10 10 10 9 10 10 11 11 11 11 nan
nan 10 10 10 9 8 8 7 7 8 8 8 8 9 9 9 9 8 8 9 9 10 10 10 10 10 9 10 10 11 13 15 17 18 18 18 15 14 14 14 15 15 14 13 11 10 9 9 9 8 8 7 7 8 8 9 9 9 10 11 12 13 15 17 18 18 20 23 26 26 24 21 19 18 17 16 15 14 13 12 11 11 11 11 10 9 9 9 8 8 8 8 8 8 7 6 6 5 5 6 8 9 10 11 11 10 10 11 11 11 12 12 nan
nan 9 10 9 9 8 7 6 6 7 7 7 7 8 9 10 9 8 8 9 10 10 10 10 10 10 10 10 11 12 14 15 17 17 17 16 15 14 14 16 17 17 16 14 13 11 10 10 10 9 8 8 7 7 8 8 8 8 8 9 10 10 11 12 14 15 17 19 21 22 22 21 21 20 19 17 16 14 13 12 12 11 11 11 11 10 10 10 10 9 9 9 9 8 8 7 6 5 4 5 6 7 9 10 11 11 11 11 11 11 12 12 nan
nan 9 8 8 7 6 5 5 6 6 6 6 7 9 10 10 9 8 9 10 10 10 10 10 10 10 10 10 11 13 14 15 16 15 13 11 10 10 12 16 18 18 18 16 14 12 11 11 10 9 8 8 7 7 7 7 7 8 8 9 10 9 9 10 11 13 15 16 17 18 19 20 22 23 21 19 17 15 14 13 12 12 11 11 11 11 11 11 10 10 9 9 9 9 8 7 6 5 4 3 4 5 7 8 10 10 10 11 11 11 11 12 nan
nan 8 6 5 4 5 5 6 7 7 7 8 10 11 11 9 8 8 10 10 10 10 10 10 10 10 10 10 11 13 14 14 14 12 8 5 4 4 7 12 16 18 18 17 15 13 13 12 11 9 8 7 7 7 7 7 7 8 9 10 10 9 9 9 10 11 12 14 16 17 19 21 24 24 22 20 17 16 14 13 12 12 11 11 11 11 12 12 11 11 10 10 9 9 8 7 6 5 4 3 3 3 4 6 7 8 9 10 9 9 9 10 nan
nan 6 5 4 5 6 7 8 8 9 10 11 12 11 9 7 7 9 10 10 10 9 10 10 10 10 10 10 10 11 12 12 12 9 5 2 -0 -1 3 8 13 17 19 17 15 14 13 12 11 10 9 7 7 7 7 7 7 8 9 9 9 8 8 9 9 10 11 14 17 19 21 23 24 23 21 19 17 16 15 14 13 12 11 11 11 12 12 13 12 12 11 11 10 9 8 7 7 6 5 4 3 3 3 4 5 6 8 8 8 8 8 8 nan
nan 6 6 7 9 9 9 10 11 12 12 12 11 10 8 7 7 9 10 10 9 9 9 9 10 9 8 8 9 9 10 11 10 8 5 2 -1 -1 2 6 11 15 17 16 14 14 13 12 12 12 10 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 11 14 18 21 24 25 24 23 20 17 16 15 15 14 13 12 12 11 11 12 12 13 13 13 12 11 11 10 8 7 7 6 6 5 5 4 3 3 4 5 6 7 7 7 7 7 nan
nan 8 10 10 10 10 9 10 11 12 11 9 9 9 8 7 8 8 9 10 9 8 8 8 8 7 6 6 8 9 10 10 9 8 5 2 -0 -0 1 5 9 13 15 15 14 14 12 11 12 12 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 11 14 18 21 24 25 24 22 19 16 15 14 14 13 13 13 12 12 11 12 12 13 14 14 14 13 12 10 9 8 7 7 7 7 6 5 5 4 4 5 5 6 6 7 6 5 nan
nan 9 10 9 8 6 7 8 10 10 8 7 7 8 8 8 8 8 9 9 8 8 9 9 8 7 7 8 9 10 10 10 9 7 5 3 1 0 1 4 9 12 14 15 15 13 12 11 12 12 11 11 10 8 7 7 7 7 7 8 8 8 8 9 9 10 13 15 18 21 23 24 24 22 19 16 14 13 12 12 12 12 12 12 11 11 12 13 14 15 15 14 13 11 10 9 8 8 8 8 7 7 6 6 5 5 5 6 6 6 6 5 nan
nan 8 8 7 6 7 8 9 9 8 6 6 7 7 8 7 7 6 7 8 10 11 11 10 9 9 10 11 12 12 11 10 8 6 4 3 2 1 3 6 10 13 14 14 14 12 11 11 11 12 13 12 10 8 8 7 7 7 7 8 9 9 9 10 11 12 14 17 19 20 21 23 24 23 20 18 15 13 12 11 11 11 11 11 11 11 11 12 14 15 15 15 13 12 11 10 9 9 9 9 9 8 8 7 6 6 5 6 6 6 6 6 nan
nan 8 8 8 9 10 11 11 9 8 7 7 8 8 8 8 7 6 8 11 13 13 11 9 9 9 10 10 11 11 10 9 6 4 3 3 3 4 5 8 11 13 14 13 13 11 10 11 11 12 13 13 11 9 9 8 8 8 8 8 9 9 10 11 12 13 15 17 18 19 20 23 24 24 22 20 17 14 12 11 10 10 10 10 10 10 10 11 12 13 14 14 13 13 11 10 9 9 9 9 10 9 9 9 8 7 6 6 6 7 7 7 nan
nan 9 9 11 12 12 12 10 8 7 7 8 9 9 9 9 8 9 11 13 13 11 7 6 7 8 8 9 9 9 8 6 4 3 4 5 6 8 8 10 11 12 12 12 11 11 11 11 11 12 13 12 11 10 10 9 9 9 9 9 9 10 11 11 11 13 14 16 17 17 19 22 24 24 24 22 19 17 15 13 11 10 10 10 9 9 9 9 10 11 12 12 12 12 11 10 9 9 9 9 9 10 10 10 9 9 8 7 7 7 8 8 nan
nan 9 10 11 11 10 9 7 6 6 8 9 9 10 10 9 9 10 12 12 10 7 5 6 7 8 8 8 8 8 6 5 4 6 8 10 11 11 12 12 12 11 11 10 10 11 12 11 11 12 12 12 12 11 10 9 9 9 9 9 9 10 11 11 11 12 14 15 15 16 19 21 22 24 24 23 21 20 18 16 14 13 12 11 10 10 10 9 9 9 10 10 10 11 11 10 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 nan
nan 10 10 10 9 8 7 6 6 8 9 9 10 10 10 10 10 11 11 10 8 6 7 8 9 9 9 9 8 7 6 7 9 11 13 14 14 14 15 15 14 12 10 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 11 11 11 11 12 14 15 16 16 18 19 20 23 23 23 23 22 20 19 17 16 14 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 11 11 10 10 10 10 9 nan
nan 10 10 10 9 9 8 8 8 9 9 10 10 11 11 11 11 12 11 11 9 10 10 11 11 11 11 11 11 11 12 14 16 18 19 19 18 18 18 17 15 13 10 8 9 8 8 8 9 9 10 11 11 10 10 9 8 9 9 10 11 11 11 11 12 13 15 16 16 16 16 17 19 21 21 21 21 21 20 20 20 18 16 15 14 14 13 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 9 nan
nan 10 10 9 9 8 7 7 8 9 9 10 11 12 12 13 13 14 13 13 13 13 14 14 14 13 13 14 15 16 18 19 20 21 22 22 21 20 19 19 17 14 10 8 7 7 6 7 8 8 10 10 10 10 9 8 8 8 9 10 12 12 12 12 12 13 16 17 17 16 16 16 18 18 18 19 18 18 19 20 20 19 18 17 16 15 14 14 13 13 12 11 11 11 11 12 12 12 12 11 10 10 9 9 8 9 9 9 10 10 9 9 nan
nan 8 7 6 5 4 4 5 6 7 8 9 11 12 13 14 15 15 15 14 15 15 16 17 17 17 16 16 16 17 17 17 18 18 19 20 20 19 19 19 17 14 9 7 6 6 6 7 7 8 10 10 10 10 8 7 7 8 9 11 12 12 12 12 12 14 15 16 16 16 16 16 16 15 15 15 15 16 17 18 18 18 18 17 16 16 15 15 15 14 14 13 12 12 12 12 13 13 14 14 13 13 12 10 9 9 8 8 8 9 9 9 nan
nan 5 4 3 3 3 4 6 7 7 8 8 10 11 13 14 15 14 14 14 15 16 18 18 17 17 16 16 15 15 15 15 15 16 16 16 16 16 17 17 16 13 9 6 5 5 6 7 8 9 10 11 11 10 8 7 7 8 10 11 12 12 12 12 12 13 13 14 14 15 16 16 15 14 14 13 13 13 14 15 16 17 17 17 17 16 16 16 16 16 15 14 14 13 12 13 13 13 15 15 16 16 14 13 12 10 9 8 8 8 8 8 nan
nan 5 5 5 6 8 9 10 10 10 10 9 10 11 12 12 12 12 13 14 15 16 16 15 15 14 13 13 14 14 14 14 14 14 14 13 12 11 12 13 13 12 10 7 6 7 7 8 8 9 10 11 11 10 8 7 8 8 10 11 11 11 11 11 11 11 11 12 13 14 16 17 16 16 15 13 12 12 12 13 15 16 16 16 17 17 17 17 17 16 16 16 15 14 13 13 13 13 14 15 16 16 16 15 14 12 10 8 6 6 6 6 nan
nan 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 13 14 16 16 15 15 14 13 12 12 12 12 13 13 13 13 13 13 12 11 8 7 8 10 12 12 11 10 10 10 10 10 9 9 9 10 10 10 8 8 8 9 10 10 10 10 10 10 10 10 11 11 12 13 15 17 18 18 15 14 13 13 13 13 14 15 16 16 17 17 17 17 17 17 17 17 16 16 15 14 13 13 13 14 15 16 16 16 15 14 11 7 4 1 1 3 nan
nan 13 13 14 14 14 13 13 13 13 12 12 11 10 10 13 15 18 19 17 14 13 11 10 10 11 12 13 13 12 12 11 11 11 10 8 7 7 8 10 10 11 11 12 13 14 13 12 11 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 14 16 17 16 15 14 14 13 13 13 14 14 15 15 16 17 17 17 17 17 17 17 17 17 16 15 14 14 13 13 14 14 15 15 15 12 9 4 1 -1 -0 3 nan
nan 14 14 14 14 14 14 14 14 14 12 11 10 10 11 13 16 18 18 15 12 10 9 8 10 11 12 12 12 11 11 10 10 9 8 8 9 9 11 11 9 8 9 11 15 17 17 15 13 11 10 10 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 12 12 13 13 13 13 13 14 14 15 15 15 16 16 16 17 17 17 17 17 16 16 15 14 14 13 13 13 14 14 14 12 8 4 1 0 1 3 6 nan
nan 14 15 16 16 16 16 16 15 14 12 10 10 10 11 13 15 17 16 13 11 10 9 10 11 12 12 12 11 10 10 10 10 9 9 10 11 12 13 10 7 5 6 11 16 19 19 16 13 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 11 11 11 12 13 14 15 15 15 15 15 15 15 16 16 16 16 15 15 14 14 13 13 12 12 12 13 13 11 7 3 1 1 3 6 9 11 nan
nan 14 15 16 17 17 16 15 15 13 11 9 9 10 12 14 16 16 15 13 12 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 12 13 11 8 4 1 3 11 17 20 19 16 13 11 11 11 11 11 10 10 9 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 10 12 14 16 17 16 15 15 15 15 14 14 14 14 14 13 13 12 12 11 11 11 11 11 10 8 3 1 1 3 5 9 12 14 nan
nan 14 14 15 15 14 13 13 13 12 10 10 10 12 14 16 17 16 14 13 12 13 13 12 12 11 10 10 10 10 10 10 10 10 11 11 12 11 8 4 0 -2 3 10 16 19 18 15 12 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 9 10 11 11 11 11 11 11 12 12 11 11 10 10 10 12 14 17 18 18 17 15 15 14 14 14 13 13 13 13 12 11 10 10 10 9 9 9 8 5 1 1 2 4 7 10 13 15 nan
nan 13 13 13 13 12 11 11 12 11 11 11 11 13 15 16 16 14 13 12 13 13 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 8 5 1 -2 -2 3 9 14 17 16 13 11 11 10 10 11 11 11 11 10 9 9 9 9 8 7 7 8 10 10 10 10 10 10 11 11 12 12 12 12 11 11 12 14 16 16 16 15 14 13 13 14 15 15 14 13 12 11 11 10 10 9 9 9 8 6 3 1 1 3 5 7 9 11 13 nan
nan 14 14 13 12 11 11 12 12 11 11 12 12 14 15 15 14 12 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 6 4 1 -0 1 4 8 13 16 15 13 11 11 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 10 10 10 9 9 10 11 11 12 12 12 12 12 12 12 13 13 12 10 9 9 10 12 14 17 17 16 14 13 13 12 12 10 10 10 9 8 5 3 2 3 5 7 8 9 10 11 nan
nan 15 14 13 12 11 12 12 12 12 12 12 13 14 14 14 13 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 7 5 4 3 4 4 7 11 14 14 13 12 11 10 10 10 10 11 11 12 13 13 13 12 11 9 9 9 10 9 9 9 10 10 10 11 11 12 12 12 13 13 13 12 10 9 8 8 9 10 12 14 15 15 14 14 14 14 15 14 12 12 12 11 9 6 5 5 6 8 8 9 9 9 10 nan
nan 14 13 11 11 11 11 12 12 12 11 12 13 13 13 13 11 10 10 10 10 9 10 11 12 11 11 10 10 10 10 10 10 10 10 10 9 8 7 6 5 4 4 5 9 12 13 13 12 11 10 10 10 10 11 12 13 14 15 14 13 11 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 11 11 12 13 13 11 10 11 12 13 14 16 16 15 15 14 12 10 8 8 8 9 9 10 10 9 9 10 nan
nan 11 10 10 10 10 11 11 11 11 11 12 12 12 12 10 10 9 9 9 10 11 13 14 14 13 12 12 11 11 10 10 10 9 9 9 8 7 6 5 3 1 1 3 7 10 12 12 12 11 10 10 10 10 11 12 13 14 14 13 12 10 10 9 9 9 9 9 10 10 10 10 11 12 12 12 13 12 12 12 11 11 12 12 13 13 13 13 12 11 11 11 12 12 13 14 15 15 16 15 13 12 11 10 10 10 11 11 10 10 10 10 nan
nan 10 9 9 10 10 11 11 10 11 11 11 11 11 10 9 9 8 9 10 12 14 14 14 13 13 13 13 12 12 11 10 9 8 7 6 5 5 3 2 -1 -3 -1 1 5 8 10 11 11 11 10 9 9 9 10 10 11 12 12 12 11 10 9 9 10 10 10 9 10 10 10 11 11 12 12 13 13 12 12 12 12 12 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 14 16 16 16 15 12 11 11 12 12 12 12 13 13 12 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 9 10 13 14 15 13 12 11 12 13 13 12 11 9 8 8 7 6 5 4 3 1 -1 -3 -3 -2 2 5 8 9 10 11 10 9 8 7 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 13 13 13 14 14 14 13 14 16 18 19 18 15 13 12 13 13 14 14 15 16 16 14 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 13 14 15 13 12 11 11 12 13 12 10 9 8 8 8 8 8 7 6 3 1 -0 -2 -1 1 4 7 9 10 11 11 10 9 7 6 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 13 13 13 14 14 15 17 18 17 15 12 9 9 9 11 13 16 18 19 19 18 17 nan
nan 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 12 13 13 13 12 12 12 13 13 12 11 10 10 10 10 11 11 10 10 8 6 4 3 3 4 5 7 9 10 11 11 10 9 8 7 7 7 6 7 8 8 9 9 9 10 11 11 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 13 13 14 14 15 16 14 11 7 3 2 3 4 6 10 13 15 16 17 19 21 nan
nan 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 12 13 13 14 14 14 14 14 13 13 12 13 13 13 13 12 12 11 9 9 8 8 9 9 10 10 11 10 9 9 8 8 7 7 6 6 6 7 8 9 10 10 10 10 11 11 10 10 9 9 9 10 11 11 11 11 10 11 11 11 11 12 13 13 13 13 13 12 12 12 12 12 13 13 13 14 13 13 11 8 5 3 3 3 3 4 5 5 7 8 11 15 19 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 15 15 16 16 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 12 12 12 12 11 11 10 9 9 8 8 7 7 6 5 6 8 9 10 10 10 10 11 11 11 10 10 9 9 10 11 12 12 12 11 10 10 10 10 11 12 13 13 14 14 13 13 13 12 12 12 12 12 13 12 12 11 10 9 8 8 8 8 7 6 4 3 2 3 5 7 11 nan
nan 9 9 10 10 10 11 11 10 10 9 9 9 9 10 11 12 13 15 16 16 16 16 16 16 16 16 16 15 16 16 16 16 16 16 16 16 15 15 14 14 14 13 13 12 12 11 10 9 8 8 7 6 5 6 7 9 10 11 11 11 11 12 12 11 11 10 9 9 10 11 12 12 11 10 10 10 9 9 10 11 12 13 14 14 14 13 12 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 9 8 6 6 5 5 4 4 nan
nan 9 10 10 10 11 11 11 10 9 8 9 10 11 13 15 15 16 16 16 16 15 16 16 16 16 16 16 16 17 18 19 19 19 19 19 18 16 15 14 13 13 13 13 13 13 12 11 10 8 7 6 5 5 6 8 10 12 12 12 12 12 13 13 12 11 9 9 10 10 11 11 11 10 9 9 9 9 9 10 10 11 13 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 9 8 6 4 nan
nan 10 10 10 10 11 11 11 10 9 9 11 13 15 17 17 16 15 14 14 14 14 15 15 15 15 15 15 16 18 19 20 21 21 21 20 19 17 15 14 12 12 12 12 13 13 13 12 10 9 8 7 5 5 6 7 10 11 12 12 13 14 13 13 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 11 10 10 11 10 10 10 10 10 11 10 10 11 12 12 12 12 11 11 11 10 9 8 nan
nan 10 10 10 11 11 11 11 11 11 12 13 15 16 16 15 14 13 12 12 12 13 13 14 14 14 13 14 15 17 18 19 19 19 20 19 18 17 15 14 12 12 12 13 13 13 13 13 13 12 11 10 8 7 6 7 8 10 11 13 14 14 14 13 12 11 10 10 11 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 12 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 10 10 nan
nan 11 11 11 11 12 12 12 12 12 13 15 15 15 14 12 12 12 12 12 12 13 13 13 13 12 13 13 14 15 15 16 16 17 17 16 16 15 14 13 13 13 14 14 14 14 14 14 14 14 13 12 11 9 8 8 9 10 12 13 14 14 14 14 13 12 11 11 11 10 10 10 10 11 12 12 12 11 10 9 9 9 9 10 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 10 10 nan
nan 11 11 11 12 12 12 12 12 13 14 14 14 13 12 12 11 11 12 12 13 13 13 13 13 12 12 13 13 14 14 14 15 15 14 14 14 13 12 12 13 14 15 16 15 15 14 15 15 15 14 13 13 11 11 11 11 11 12 13 14 14 15 14 13 13 12 11 11 11 10 10 10 11 11 12 11 10 9 8 8 8 9 10 11 11 12 12 12 11 11 11 10 10 11 11 11 11 10 10 11 12 12 11 11 11 11 11 11 11 11 10 nan
nan 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 12 13 13 13 13 13 13 12 13 13 13 14 14 14 14 13 13 12 12 11 11 12 14 16 16 16 15 15 16 16 16 15 14 14 14 14 14 13 13 13 13 14 14 14 14 13 13 12 12 11 11 10 10 10 10 11 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 12 12 11 11 11 11 11 11 10 nan
nan 12 12 12 12 12 12 12 12 11 12 12 12 12 11 11 11 11 12 12 13 13 14 13 13 13 12 13 13 14 14 14 14 13 13 12 12 11 11 11 12 14 15 15 15 15 15 16 17 17 16 16 16 16 16 15 14 14 14 14 14 14 13 13 13 13 12 12 11 11 10 10 10 10 9 9 9 9 10 11 11 11 11 12 11 11 12 12 12 12 13 13 14 14 12 11 11 10 10 11 11 11 12 12 12 12 12 12 11 11 11 10 nan
nan 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 13 13 13 13 13 14 14 13 13 12 12 12 11 11 11 12 13 12 12 12 13 15 16 17 17 17 18 19 19 18 17 16 16 16 16 16 15 14 14 13 12 12 12 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 14 15 14 12 11 10 10 10 11 11 12 12 13 12 13 13 12 12 12 11 11 nan
nan 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 12 12 11 10 10 10 12 14 15 15 15 15 17 19 21 20 19 18 17 17 17 17 16 16 15 14 13 12 11 10 10 10 10 10 10 9 10 11 12 12 12 11 10 10 11 11 11 11 11 12 13 14 14 14 12 10 9 9 9 10 10 11 12 12 12 13 13 13 13 13 13 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 14 13 13 13 13 13 12 12 12 12 12 12 11 11 11 12 12 12 11 10 10 10 11 12 13 13 13 13 13 15 17 18 19 18 18 18 18 17 17 16 17 17 16 15 12 10 9 9 9 10 10 10 11 11 12 12 12 11 10 10 10 10 10 11 11 11 12 13 13 12 11 10 9 8 8 9 10 10 11 12 12 12 13 13 13 13 14 13 13 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 10 11 11 12 12 12 12 11 12 12 13 14 14 14 14 14 15 15 14 15 17 18 18 17 15 11 10 9 9 10 11 11 12 13 12 12 11 10 10 9 10 10 10 11 11 12 12 12 12 10 9 9 8 8 9 10 10 10 11 11 11 12 13 13 13 14 14 14 13 13 nan
nan 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 8 9 10 10 11 13 15 17 18 17 15 13 11 10 11 11 12 13 13 13 12 11 10 9 9 9 10 10 11 11 12 12 12 12 10 10 9 9 9 10 9 9 9 10 10 11 12 12 12 13 14 14 14 13 13 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 12 12 13 13 13 12 11 10 9 8 7 5 5 5 5 6 6 7 8 12 16 16 16 15 13 12 12 12 13 13 13 13 12 11 10 9 9 9 10 10 11 11 11 11 12 11 11 12 11 11 11 10 9 8 9 9 9 10 10 11 12 13 13 13 14 14 14 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 12 13 13 14 14 13 12 10 9 8 7 6 5 5 4 3 3 2 3 6 9 11 14 16 16 16 16 14 13 13 13 13 12 11 10 10 10 10 10 10 11 10 10 10 11 11 12 13 12 11 11 10 8 9 9 8 9 9 10 11 12 12 13 14 14 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
12 11 11 10 10 9 10 9 8 7 7 7 7 5 3 2 1 0 0 0 0 0 0 1 2 2 2 4 5 8 14 23 35 52 66 75 87 101 106 92 74 67 68 71 73 73 72 69 63 57 49 47 46 45 46 47 43 33 20 9 3 2 1 0 5 22 72 158 210 219 206 198 184 179 176 173 161 152 148 146 144 143 136 124 114 113 121 145 173 201 229 256 271 306 350 397 432 466 505 531 540 532 528 523 513 504 501 510 513 518 520 506 470
11 11 10 10 10 10 9 8 7 6 5 5 5 4 3 3 2 1 0 1 0 0 1 1 1 1 2 2 4 7 11 17 30 59 71 79 91 107 111 87 65 54 51 51 51 49 46 42 38 37 34 36 42 47 54 57 52 41 27 12 5 2 2 1 0 5 40 105 170 208 178 165 154 147 147 148 131 127 129 130 128 122 117 111 105 103 111 127 149 179 215 257 294 339 390 440 471 505 532 546 542 519 522 524 524 519 506 514 527 540 543 518 471
12 12 11 11 10 11 10 9 8 6 5 5 4 3 3 2 3 2 1 1 2 1 1 1 1 1 1 2 3 5 7 11 23 59 82 93 103 119 114 92 68 49 36 32 29 26 23 19 17 23 28 35 47 52 57 59 56 48 32 16 7 3 2 1 0 0 19 62 126 190 160 132 116 110 111 109 103 102 110 117 112 107 104 103 104 111 119 132 150 173 204 250 302 363 426 474 506 537 561 566 550 537 532 534 541 542 534 533 543 562 567 541 507
14 13 13 12 10 9 9 9 9 7 5 4 3 3 3 2 2 1 1 1 2 2 1 1 1 1 1 2 3 4 4 7 20 51 84 108 115 125 119 102 79 59 42 31 23 17 10 9 9 14 22 35 53 57 61 63 64 59 40 24 12 5 2 1 0 0 6 25 77 134 141 117 84 81 86 87 88 93 107 111 108 103 101 101 110 123 138 157 177 199 223 253 292 353 419 471 510 546 582 582 568 553 543 546 556 558 559 561 568 590 594 578 553
16 16 14 13 11 10 9 8 9 7 5 4 3 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 2 3 4 6 16 36 66 94 109 116 114 104 89 72 54 39 29 23 6 5 8 13 23 42 56 63 67 70 72 65 51 35 20 9 3 2 1 0 0 2 42 87 116 118 69 65 70 74 74 81 99 105 102 99 96 97 108 124 146 175 201 230 258 279 285 336 394 442 481 516 562 582 583 571 561 568 570 570 575 587 597 610 616 607 578
17 17 15 13 11 10 10 9 9 7 5 3 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 3 4 6 9 20 45 73 95 110 118 112 97 79 60 43 30 21 10 6 8 14 24 46 60 68 71 74 73 69 60 47 28 12 5 3 2 1 0 0 18 50 89 117 84 67 62 61 52 56 64 70 73 69 68 74 88 105 123 155 189 227 265 297 299 321 351 384 418 456 503 547 574 573 578 586 589 590 593 604 613 618 616 602 567
17 16 14 13 11 10 9 9 7 6 4 3 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 2 1 1 3 4 5 7 31 54 76 97 118 114 101 82 59 39 29 21 14 9 10 15 24 37 47 56 68 72 73 72 67 56 37 20 8 3 2 1 0 0 5 19 57 91 94 79 54 43 34 28 24 21 22 26 32 42 58 79 93 114 144 177 213 251 279 300 310 323 347 384 430 479 529 547 565 583 595 595 598 599 598 597 591 568 532
17 15 12 12 11 9 8 8 6 5 4 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 1 3 3 18 39 63 84 101 108 102 83 55 33 27 23 17 12 14 20 23 26 31 41 59 65 67 66 66 57 41 25 12 5 3 1 1 1 0 0 27 56 80 90 50 29 17 9 5 2 2 6 13 23 35 54 70 88 108 123 139 161 201 253 269 278 294 323 369 425 473 507 535 560 579 583 580 570 561 553 548 531 508
17 15 12 10 9 8 8 7 5 5 4 3 3 3 2 3 3 3 2 1 1 1 1 1 1 1 1 1 1 0 0 0 2 2 8 19 35 60 82 96 98 87 53 32 21 17 16 13 17 19 19 18 16 22 38 50 56 56 61 57 46 31 17 8 5 3 2 1 0 0 9 24 45 75 51 29 12 2 1 1 2 5 14 28 40 51 63 82 108 116 113 100 99 161 197 232 260 280 324 373 414 451 491 526 551 559 552 538 528 525 525 521 517
15 13 11 10 9 8 7 6 5 5 6 4 4 4 4 4 4 4 3 2 1 1 0 0 0 0 1 2 2 1 0 0 1 1 2 7 24 47 68 86 96 88 56 33 20 16 17 14 13 13 14 15 9 11 21 33 41 48 55 57 50 36 21 12 7 3 1 1 0 0 1 5 10 30 36 31 18 6 4 4 5 11 24 43 57 69 80 100 131 152 153 126 76 80 105 158 229 262 306 337 359 380 421 467 513 533 527 513 505 508 518 528 535
13 11 10 9 9 8 8 7 6 7 7 6 6 6 6 5 5 5 4 3 2 1 0 0 0 0 1 2 3 2 1 1 1 0 1 1 12 28 51 78 92 82 61 43 32 24 18 14 10 9 11 9 5 4 10 23 31 43 53 57 51 39 27 16 8 4 2 1 0 0 0 0 1 8 19 27 21 12 6 5 9 18 27 38 51 66 86 112 144 180 203 190 143 95 68 84 175 235 289 317 319 313 334 370 422 468 481 481 481 486 499 508 528
12 11 9 8 9 9 9 9 8 8 8 7 7 7 7 6 5 5 5 4 3 2 1 0 0 0 0 1 1 1 2 2 1 0 0 1 3 6 24 62 82 79 69 59 49 39 31 23 16 12 11 8 3 0 2 12 25 39 49 49 46 40 30 19 10 5 3 1 0 0 0 0 0 1 4 12 10 6 3 2 2 6 12 17 23 37 59 86 119 157 200 213 205 168 121 101 156 212 262 297 301 287 265 253 268 308 340 384 422 436 448 456 472
12 10 9 7 8 8 8 9 10 8 7 7 7 6 6 6 5 5 5 5 4 3 2 1 1 1 1 1 2 2 3 2 1 1 0 0 0 1 7 36 64 73 69 59 49 37 29 23 18 14 11 8 4 1 1 7 19 35 47 44 44 41 33 21 12 7 4 1 0 0 0 0 0 0 0 2 2 1 0 0 0 1 3 3 4 13 26 46 73 107 143 172 205 225 201 195 214 241 266 285 286 279 255 214 181 185 205 249 308 345 363 368 384
11 10 8 7 7 8 8 8 9 9 9 8 7 5 5 5 4 4 4 5 5 5 4 3 2 2 2 2 2 2 2 1 1 1 0 0 0 0 1 15 46 71 75 67 48 30 19 15 14 11 10 8 6 5 5 8 17 31 43 48 50 46 36 22 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 22 37 61 86 115 151 191 208 231 253 267 271 271 270 266 258 229 197 171 162 180 231 266 287 302 318
10 10 8 8 7 7 7 7 8 8 8 8 8 6 6 5 4 3 3 4 4 5 5 5 4 3 3 3 2 2 1 1 1 1 0 0 0 0 1 6 31 68 86 75 52 32 19 14 14 14 13 12 12 12 14 18 25 36 45 53 55 49 36 23 12 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 12 20 33 48 64 83 118 154 187 213 230 244 252 252 250 247 238 227 206 181 191 218 238 248 259 279
10 9 8 8 8 8 7 7 7 7 7 8 9 9 8 8 6 5 5 5 5 5 6 6 5 5 4 3 3 2 1 1 0 0 0 0 0 0 1 8 28 67 91 86 68 47 30 22 24 23 18 19 20 21 26 34 43 51 53 56 57 48 36 23 12 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 16 27 37 51 70 93 118 146 174 204 226 232 228 227 236 239 223 211 220 231 236 236 244 263
11 9 8 8 9 8 7 7 7 8 9 10 11 11 11 11 11 10 9 8 6 6 6 5 5 5 4 3 3 3 1 0 0 0 0 0 0 0 2 10 30 69 94 98 84 65 45 33 32 36 35 31 29 31 37 47 57 64 65 60 54 46 35 23 12 6 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 13 21 26 34 48 67 90 117 152 186 201 207 219 236 246 237 241 249 250 249 247 247 255
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11 10 10 9 9 9 8 8 9 12 14 16 17 18 18 17 16 15 14 11 9 7 6 5 5 4 4 4 4 3 2 1 1 0 0 0 2 5 9 12 18 40 65 82 90 77 61 48 36 26 28 30 30 29 29 37 45 49 47 42 41 39 33 24 15 9 7 6 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 3 6 12 23 42 68 102 138 164 175 185 196 204 212 232 242 239 239 247 250
12 12 11 11 10 10 9 9 10 12 14 16 17 17 17 15 13 12 10 9 9 9 8 8 7 6 5 5 4 3 2 2 1 0 0 2 6 11 13 11 9 14 27 42 68 71 64 53 36 20 17 21 23 23 21 24 29 32 33 29 32 34 29 21 16 13 12 11 7 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 1 2 6 17 41 77 116 148 159 159 168 182 189 200 220 234 231 234 236
13 13 12 12 11 10 10 10 10 11 13 16 17 17 16 14 13 11 11 11 11 11 10 11 10 8 6 5 4 4 3 2 1 0 1 3 8 11 9 7 4 4 7 11 33 52 61 63 48 28 14 12 17 19 20 21 25 28 27 24 23 25 24 19 17 16 17 18 13 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 4 20 53 98 138 159 160 155 162 169 176 191 214 223 224 226
12 13 13 13 12 11 11 10 10 11 13 17 18 18 16 14 13 12 12 13 13 13 12 12 11 9 7 6 6 5 5 4 2 1 1 2 4 5 4 2 1 1 3 4 14 31 52 69 59 38 19 10 14 18 21 24 28 30 28 22 18 17 19 19 17 17 20 21 16 9 3 0 0 0 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 27 64 112 150 165 170 173 174 174 181 194 206 214 223
13 13 13 13 13 12 11 10 11 12 14 17 18 18 17 16 14 13 13 13 14 14 13 12 11 10 8 7 7 7 7 6 4 3 2 1 2 2 2 2 3 1 2 2 5 12 37 61 67 55 27 15 15 19 23 27 30 32 28 20 15 13 15 16 15 16 18 19 16 9 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 9 28 63 112 147 170 184 188 183 177 177 190 207 223
13 13 13 14 14 13 11 11 12 13 15 17 19 19 19 18 17 15 14 15 15 14 13 12 10 9 8 8 8 8 8 7 6 5 3 1 1 1 1 2 4 3 2 3 3 4 23 47 66 71 39 25 22 22 24 26 29 28 22 14 11 9 9 8 8 10 11 12 11 7 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 8 24 57 99 134 159 173 177 171 171 182 198 212
14 14 14 15 15 14 12 12 13 13 15 17 20 22 22 20 19 17 16 17 17 16 14 12 10 9 8 8 9 8 8 8 8 7 5 3 2 2 1 2 3 3 3 3 3 3 12 29 49 63 48 37 30 26 24 24 25 23 17 9 6 5 3 3 4 4 4 5 4 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 1 6 18 44 74 102 127 145 150 150 159 178 193
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20 20 20 20 20 20 18 16 16 17 19 21 23 24 26 25 23 22 23 24 24 21 17 13 11 9 8 7 6 6 6 6 6 6 6 6 5 4 2 1 2 3 5 5 4 4 3 3 14 25 36 46 44 39 31 23 15 16 11 6 3 1 0 3 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 1 3 6 14 33 57 79 98 110 121 131
23 23 23 23 22 21 20 18 18 19 22 24 26 27 27 26 24 24 26 26 25 22 19 14 12 9 8 7 6 6 6 6 5 5 6 6 6 4 2 1 2 3 5 6 5 4 2 2 6 13 22 37 41 40 34 22 11 9 7 7 7 2 0 0 2 6 5 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 1 1 5 14 30 50 66 76 82 88
27 26 26 25 24 23 22 21 21 23 25 27 28 28 27 26 26 27 29 29 28 25 22 17 13 11 9 7 6 6 5 5 5 6 7 6 4 2 1 1 2 3 5 7 7 5 3 2 3 6 12 24 30 33 33 22 12 7 5 6 5 1 0 0 2 9 8 5 3 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 1 5 12 22 31 38 44 47
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