Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 11 11 12 12 12 11 11 9 8 7 7 7 7 7 7 6 5 4 2 1 -1 -2 -2 -2 -1 0 2 5 8 11 14 16 19 22 26 31 38 43 49 52 56 57 56 52 47 40 33 27 22 18 16 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 12 12 13 12 12 12 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 10 9 9 9 9 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 9 9 9 10 9 9 10 10 10 10 9 8 8 9 9 9 8 8 7 7 8 9 10 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 10 10 9 9 10 11 12 13 14 15 15 15 14 13 11 10 9 8 7 7 7 7 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 10 9 8 9 11 15 19 21 22 19 17 14 12 12 10 9 6 3 1 1 1 6 13 20 25 28 29 29 30 27 19 9 -3 -6 -4 -1 3 6 7 9 10 11 10 9 8 8 8 8 8 8 7 7 8 8 9 10 12 12 13 12 10 10 11 11 11 10 9 8 nan
nan 9 10 10 10 11 12 12 12 12 11 10 9 8 7 7 7 7 8 7 6 5 4 2 1 -0 -1 -1 -1 -0 1 3 6 9 12 13 15 17 20 24 28 33 38 44 48 53 57 57 57 51 46 38 33 26 22 18 16 14 13 12 12 12 12 11 11 11 11 10 10 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 10 9 8 8 8 9 9 9 8 8 7 8 8 9 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 12 11 10 9 10 10 12 13 14 15 16 15 15 14 12 11 10 9 8 7 7 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 9 8 9 10 13 18 21 21 20 18 15 13 12 11 10 7 4 2 1 1 5 13 20 26 29 30 29 29 27 23 11 0 -3 -3 -0 4 6 7 8 10 10 10 10 9 9 9 9 8 7 7 7 7 7 8 10 11 13 13 12 11 11 11 13 13 12 10 8 nan
nan 10 10 10 10 10 11 12 12 12 12 11 10 9 8 8 8 8 8 8 8 6 5 4 2 1 -0 -1 -1 -0 1 2 4 7 9 11 12 14 17 20 22 26 28 33 37 44 49 55 57 58 56 51 45 38 32 26 21 18 16 15 14 13 12 12 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 11 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 10 9 9 9 8 8 7 8 8 9 9 9 8 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 14 15 15 14 13 12 11 10 10 10 11 12 14 15 16 16 15 15 13 12 10 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 10 9 8 9 12 16 19 21 21 18 16 14 13 12 10 8 5 3 1 1 5 12 19 27 31 30 29 28 26 22 12 5 -1 -3 0 4 6 7 8 9 10 10 10 10 11 10 10 9 8 8 8 8 8 9 9 11 12 13 13 12 11 12 14 15 14 12 9 nan
nan 10 9 9 9 10 10 11 12 12 12 12 12 10 9 8 8 8 9 9 9 8 6 5 3 2 1 0 -0 -0 0 1 3 5 6 8 9 12 13 16 18 20 22 24 27 32 37 43 49 55 58 59 56 53 46 39 31 26 21 19 16 15 14 13 12 11 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 10 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 10 10 9 9 8 7 7 7 7 8 9 9 9 8 8 9 9 9 10 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 12 14 14 15 15 15 14 13 12 11 10 10 11 12 13 15 16 16 16 16 15 13 11 10 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 10 9 8 9 11 14 17 20 20 19 17 15 14 12 11 9 6 4 1 1 4 11 18 28 32 31 29 26 26 22 14 7 -0 -3 -1 2 5 6 7 9 10 11 11 12 13 12 12 11 10 11 11 12 11 10 9 9 10 11 12 12 12 12 14 15 16 15 12 nan
nan 10 9 9 9 9 9 10 11 12 13 13 13 12 10 9 8 8 9 9 9 8 7 6 4 3 2 1 1 0 1 1 2 3 4 5 6 8 10 12 14 16 18 19 21 21 25 28 35 41 49 55 60 61 58 54 46 39 31 26 22 20 17 16 14 13 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 10 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 11 12 13 14 15 15 15 15 14 13 12 11 11 11 11 12 14 15 17 17 17 16 14 12 11 9 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 10 9 8 9 10 13 16 19 20 19 17 16 15 13 12 10 8 5 2 1 4 8 19 29 32 32 29 25 24 22 18 10 0 -4 -3 -0 2 4 5 6 8 12 14 15 16 15 14 13 13 13 14 14 13 11 9 8 8 9 10 11 12 12 13 14 16 17 16 nan
nan 9 8 8 8 8 9 9 10 11 12 13 13 12 11 10 9 8 9 9 9 9 8 6 5 4 3 2 2 1 1 1 2 2 2 3 4 5 7 9 11 13 15 16 17 17 18 19 22 26 34 41 51 57 62 61 58 52 44 37 31 26 22 20 17 15 14 12 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 11 11 12 12 11 11 10 10 9 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 9 9 9 9 9 9 10 10 11 11 11 10 9 8 7 7 6 6 6 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 9 9 10 11 12 13 14 15 15 15 15 14 13 12 11 11 11 12 13 15 16 17 18 17 15 13 11 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 12 12 12 12 11 10 9 8 9 11 15 18 19 19 18 17 15 14 13 11 8 5 3 2 3 9 19 26 31 33 29 26 23 21 19 13 4 -1 -4 -3 -0 1 1 2 7 12 16 18 19 18 17 16 15 15 15 15 14 13 11 9 8 8 10 11 11 12 12 13 14 16 18 nan
nan 8 7 7 7 7 8 9 10 11 12 13 13 13 12 10 9 8 8 8 9 8 8 7 6 5 4 3 3 2 2 2 2 2 2 2 3 3 4 6 8 10 13 15 15 16 15 14 15 17 21 27 35 45 53 59 61 59 55 48 42 35 30 25 22 19 17 15 13 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 7 6 6 6 7 8 9 10 11 11 11 12 12 12 12 12 12 11 10 9 8 8 8 8 7 7 7 6 7 7 8 8 9 9 10 9 9 9 9 9 9 10 11 11 12 11 11 10 8 7 7 6 6 5 6 7 8 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 11 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 8 9 9 11 12 13 14 15 15 15 15 14 13 12 11 11 11 13 14 16 18 18 17 16 13 11 10 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 11 14 17 19 19 19 18 16 15 13 11 8 6 3 2 3 8 16 24 30 33 30 25 21 20 20 15 8 2 -4 -5 -2 -1 -1 -0 5 10 14 18 20 20 20 18 17 15 15 14 14 14 13 12 10 9 9 10 11 11 11 11 12 14 17 nan
nan 6 6 6 6 6 7 8 9 10 11 13 13 13 12 10 9 8 7 8 8 9 8 7 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2 3 5 7 10 13 14 15 13 12 12 12 13 17 22 30 39 48 54 58 58 56 52 46 41 34 30 25 21 18 16 14 12 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 9 9 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 10 10 10 9 9 8 7 6 6 6 7 8 9 9 10 11 12 13 13 14 13 13 12 11 10 9 8 7 7 6 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 8 7 7 6 5 5 5 6 7 8 9 9 10 9 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 8 8 9 9 11 12 13 14 15 15 15 15 14 13 12 11 11 12 14 16 17 18 18 16 14 12 10 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 12 12 13 13 13 13 12 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 10 9 9 9 10 13 16 18 19 19 18 17 16 14 11 9 6 4 2 3 7 13 21 29 33 31 26 21 18 19 16 12 4 -3 -4 -3 -2 -1 -0 2 7 12 16 18 20 20 19 18 16 14 14 14 14 14 14 13 12 11 11 11 11 10 9 11 13 15 nan
nan 4 5 5 5 5 6 7 8 9 11 12 13 14 13 11 9 7 7 7 8 9 9 8 7 6 5 5 4 4 4 3 3 3 2 2 1 1 1 1 2 4 6 10 12 13 12 12 10 10 9 10 13 18 25 34 41 47 51 54 54 53 49 44 39 33 29 24 21 18 16 13 12 11 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 10 9 9 8 7 7 6 6 7 7 8 9 10 11 12 13 14 14 14 13 12 10 9 8 7 6 6 6 5 5 5 6 6 7 8 9 9 9 9 8 9 9 9 10 11 11 12 12 11 10 8 7 6 6 5 5 5 5 6 7 8 9 9 10 9 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 9 9 8 8 8 8 9 10 12 13 14 15 15 15 15 14 13 12 12 12 14 15 17 17 17 16 14 12 10 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 10 9 9 10 12 14 17 19 19 19 17 16 14 11 9 6 4 2 2 5 11 19 28 32 31 28 21 18 17 16 13 5 -0 -2 -2 -1 -1 -0 2 5 10 13 15 18 19 19 19 17 15 13 13 13 13 15 15 15 15 14 12 11 10 9 11 13 14 nan
nan 3 4 4 4 5 5 6 7 8 10 12 14 14 13 11 9 7 6 7 8 9 9 9 8 7 6 6 5 5 4 4 4 3 3 2 1 1 -0 -0 -0 1 3 6 9 10 11 11 10 9 8 8 9 12 17 23 30 35 41 45 48 50 50 49 46 41 36 31 27 23 20 17 15 13 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 10 11 12 14 14 14 13 12 10 9 7 6 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 8 9 9 10 11 11 12 12 11 10 9 7 6 5 5 4 4 5 5 6 7 8 9 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 10 9 8 8 8 8 9 10 11 12 13 14 15 15 15 14 13 12 12 12 13 14 16 16 17 16 15 13 11 10 9 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 12 13 13 13 14 13 13 12 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 11 14 16 19 19 19 18 16 13 11 9 7 4 1 2 4 9 18 26 30 33 29 22 19 16 15 12 6 2 -1 -2 -0 0 0 1 4 8 11 13 15 17 18 18 18 16 14 13 12 13 14 16 17 17 16 14 12 11 11 11 12 13 nan
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CAPE
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7 11 15 16 25 33 37 39 39 37 34 29 25 22 20 17 14 12 10 6 3 3 5 5 3 2 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 8 9 11 11 9 9 8 8 9 10 10 11 11 12 12 11 10 10 11 10 8 6 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 6 7 7 6 6 7 7 8 8 9 10 10 11 10 10 10 11 11 11 12 12 11 11 10 9 8 7 6 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 7 7 7 7 7 7 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 6 8 9 10 11 13 15 16 18 18 18 18 17 16 15 14 13 13 13 13 12 11 10 9 9 9 10 10 11 11 12 11 12 12 14 15 17 19 20 22 22 24 27 28 30 32 35 38 41 44 47 51 54 58 63 72 80 89 94 95 94 87 79 68 64 61 60 61 62 63 66 68 69 71 72 72 72 71 70 68 64 59 50 43 38 36 38 42 46 50 55 59 63 68 73 70 61 52 42 33 28 24 22 21 22 25 24 24 26 33 43 53 60 63 63 63 60 58 59 65 75 85 95 103 106 117 131 151 161 169 175 180 181 171 163 153 140 128 120 121 123 124 125 118 110 104 98 96 96 93 89 85 83 79 75 73 71 69 66 64 62 57 59 63 61 62 65 76 87 100 116 133 148 156 158 159 159 161 164 167 174 183 194 204 211 213 214 213 211 204 194 181 164 148 134 124 114 105 93 80 67 58 56 61 67 74 82 89 90 87 83 79 73 64 63 66 65 61 56 49 43 39 38 40 48 72 94 114 132 151 158 127 88 49 18 9 9 10 11 11 11 9 8 9 9 9 7 6 5 6 8 12 16 20 23 26 27 27 27 24 20 17 14 10 5 2 1 1 1 0 0 1 2 2 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 2 2 1 1 0 0 0 0
5 10 18 23 28 34 39 41 40 38 37 34 29 26 24 23 21 19 16 12 9 9 10 9 8 5 2 2 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 7 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 9 8 7 6 5 4 4 5 5 5 4 4 3 3 3 4 4 4 4 4 5 6 6 6 6 7 8 8 8 9 10 9 10 10 10 10 10 10 10 10 11 11 12 12 13 12 10 9 8 7 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 7 9 10 11 13 15 16 17 17 17 16 16 15 14 12 11 11 11 11 11 10 9 8 8 8 8 8 9 10 10 10 11 12 14 17 19 21 22 24 26 27 30 32 34 37 39 40 43 45 47 50 54 57 62 68 75 83 91 96 93 89 82 74 66 60 58 57 59 60 61 66 69 71 73 73 73 71 69 66 63 58 51 40 36 35 37 41 47 51 54 58 63 67 68 63 53 42 32 26 21 18 17 18 18 21 23 21 23 26 34 46 56 60 61 61 61 58 57 59 68 76 80 88 95 100 117 137 156 167 172 169 168 165 158 148 140 132 124 119 120 122 122 121 114 107 101 97 94 92 88 84 79 77 74 69 67 66 64 61 61 63 62 62 62 58 59 64 73 83 95 114 131 147 155 157 156 152 149 147 147 150 156 167 181 194 201 206 211 213 207 198 182 165 149 135 126 118 109 98 86 71 65 64 68 73 78 84 89 92 92 86 78 68 65 67 73 72 68 60 51 43 35 38 45 56 77 99 119 136 144 139 105 69 32 22 18 18 17 15 11 9 6 5 7 7 5 5 5 6 9 13 18 21 23 25 25 25 22 20 16 12 10 7 5 2 1 0 1 2 2 1 1 2 1 1 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
6 9 14 22 30 34 39 40 40 39 38 37 34 31 29 28 28 26 24 22 18 14 14 15 15 12 9 6 4 2 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 4 5 5 6 7 7 7 8 10 12 12 12 12 11 11 10 9 8 8 7 6 5 6 7 8 7 6 6 5 5 5 6 6 6 5 5 5 5 6 7 7 7 7 8 8 9 9 10 9 10 10 11 11 10 10 9 9 9 10 11 12 12 12 12 12 11 10 8 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 6 7 9 11 12 14 15 16 17 16 16 15 14 13 13 13 12 11 9 9 9 9 9 8 7 7 7 7 7 8 9 10 12 13 15 17 19 21 23 25 27 30 33 35 37 39 41 42 44 46 47 48 50 52 56 63 71 78 86 91 92 88 83 78 73 68 62 58 57 58 61 66 73 73 73 74 75 73 69 65 60 56 48 41 34 34 37 44 49 54 57 59 60 60 63 59 45 33 24 17 16 15 15 17 18 19 20 21 21 25 31 40 50 58 61 61 60 59 55 55 61 68 71 70 80 91 102 120 139 159 167 168 161 151 144 138 134 130 128 125 124 124 124 122 118 112 106 101 97 92 87 82 77 73 70 67 63 61 60 60 59 60 63 65 63 60 56 59 68 79 90 102 118 132 144 151 153 154 154 154 153 152 154 159 171 185 198 212 216 217 216 210 199 179 161 145 133 126 121 115 102 88 76 72 73 81 85 88 89 94 98 96 89 79 65 66 72 77 77 72 62 49 38 32 37 46 60 84 109 128 137 134 111 84 56 30 24 21 17 13 9 5 3 2 1 2 3 3 4 6 10 14 17 21 23 25 25 23 19 14 10 6 4 2 1 1 1 1 1 2 3 3 3 2 2 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
6 5 9 14 22 28 33 36 38 39 39 38 36 33 32 32 32 31 29 27 22 16 16 17 19 20 16 11 7 4 3 2 1 1 1 1 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 5 5 6 8 9 10 12 13 13 13 12 12 12 12 13 13 11 9 8 8 9 10 10 9 9 8 8 8 9 8 7 7 6 6 6 6 7 7 7 7 7 7 8 9 9 9 10 11 12 12 12 11 11 10 10 10 11 11 11 12 13 13 13 13 12 11 10 9 7 6 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 6 6 8 9 11 12 14 15 16 16 15 15 13 12 12 12 13 14 13 12 9 8 8 7 7 6 6 6 6 5 6 8 10 11 13 14 16 18 20 22 24 27 31 34 36 37 39 40 42 42 43 45 44 45 47 50 55 63 73 82 89 91 91 87 83 79 74 69 64 60 58 59 64 70 76 75 74 75 75 71 65 60 55 48 39 36 35 39 45 52 56 58 60 60 59 57 52 41 24 19 16 13 14 16 18 20 20 20 21 22 25 30 38 49 56 60 62 58 55 53 51 53 58 61 62 63 74 88 107 124 141 158 159 156 148 136 131 129 132 134 137 135 134 133 131 126 119 112 105 100 96 91 84 77 72 68 67 64 61 59 59 62 64 64 63 63 62 60 63 72 85 101 113 123 131 140 149 154 158 162 171 172 170 172 175 179 191 204 218 224 224 222 217 206 191 171 153 138 130 126 124 123 109 93 84 82 86 96 100 101 104 109 112 108 97 83 73 74 80 84 79 67 52 37 24 27 35 46 61 92 128 138 133 117 85 57 32 21 13 8 6 4 2 1 0 0 0 1 3 6 9 11 15 17 19 20 21 21 19 16 12 7 4 1 0 0 0 0 0 0 0 1 2 3 4 2 2 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
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6 5 5 5 5 6 7 13 17 20 24 28 34 37 38 38 37 37 36 35 34 33 32 31 30 28 25 22 20 18 16 13 10 7 5 3 1 1 1 1 2 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 6 6 7 8 9 9 10 11 11 11 11 11 12 13 14 15 15 14 13 14 15 15 16 17 16 16 15 15 15 15 14 12 12 11 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 12 13 13 14 15 15 13 13 13 12 12 12 12 13 14 15 15 15 15 14 13 13 12 11 11 11 10 10 10 9 9 8 8 8 7 6 6 6 5 5 5 4 4 4 3 3 3 4 4 4 4 4 5 7 8 8 8 9 9 8 9 9 7 5 4 4 5 5 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 4 5 5 6 7 9 10 11 12 13 13 14 14 13 13 12 11 10 10 11 12 12 12 10 9 8 7 6 5 5 5 5 5 6 5 5 4 4 4 5 6 7 9 11 14 17 20 23 25 26 27 28 27 26 27 28 29 31 35 42 53 63 71 73 75 76 81 86 87 85 80 72 65 60 58 58 60 66 71 76 77 76 73 67 59 49 44 41 40 43 47 52 55 56 49 47 44 37 35 34 29 22 16 15 15 15 16 18 20 21 21 22 22 25 30 37 46 58 62 65 67 68 66 58 52 47 43 42 42 44 47 52 60 73 86 100 109 115 113 111 111 119 122 124 127 128 128 132 132 129 123 114 104 100 96 92 88 84 81 78 76 73 70 67 64 63 61 59 58 60 65 77 82 83 89 100 115 130 142 151 153 157 161 169 186 213 246 268 278 268 256 245 245 238 224 207 192 179 178 173 164 152 144 140 153 165 172 170 161 143 130 121 119 122 133 157 168 168 154 139 127 122 119 113 97 72 44 28 21 18 21 34 54 78 104 125 113 89 57 28 12 7 7 7 6 5 5 7 8 9 10 10 10 10 10 9 7 7 6 6 5 4 2 1 0 0 0 0 0 0 1 3 4 4 3 3 2 2 2 1 1 1 1 2 2 2 2 1 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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