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 8 9 9 11 12 13 14 14 14 14 15 17 21 28 36 48 57 65 69 69 65 59 50 43 35 31 29 29 29 29 27 25 25 24 23 21 20 18 17 17 16 15 15 15 15 14 14 14 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 7 9 10 11 11 9 9 9 9 8 7 6 6 6 6 6 6 6 5 5 5 6 7 8 9 9 10 11 12 13 13 14 14 14 13 13 12 12 12 12 11 11 11 12 13 13 14 14 13 13 13 14 14 15 15 15 14 14 13 13 13 13 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 9 9 9 9 8 8 8 8 8 7 7 6 6 5 5 5 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 7 8 8 9 9 9 10 10 11 11 10 9 8 8 8 8 9 9 10 10 10 10 9 9 8 8 7 8 8 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 10 11 11 12 13 13 13 14 14 14 14 14 14 14 14 15 15 16 16 17 17 18 18 18 18 17 16 15 14 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 9 10 10 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 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 7 7 6 6 7 7 7 7 7 7 7 8 9 9 10 10 11 11 11 10 9 7 6 6 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 11 12 15 17 19 21 23 25 25 24 20 16 13 12 12 14 14 13 11 10 9 8 8 8 8 9 9 9 10 10 10 11 12 11 10 11 11 12 12 12 11 10 10 10 11 nan
nan 8 8 9 9 11 12 13 14 14 14 13 14 16 21 28 37 46 54 62 66 68 66 62 56 49 44 39 34 32 29 27 26 25 25 24 23 21 20 19 18 17 16 16 16 15 15 15 14 13 13 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 8 8 8 7 7 6 6 6 6 6 7 8 10 11 11 10 9 10 9 9 7 6 6 6 6 5 5 5 5 5 6 6 7 8 9 10 10 11 12 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 15 15 15 15 14 14 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 5 5 5 6 7 8 9 9 10 10 10 10 10 9 9 9 9 9 8 7 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 7 8 8 8 9 9 9 10 11 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 14 14 14 14 14 15 15 16 16 17 17 17 17 17 17 16 15 14 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 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 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 7 8 8 9 10 10 11 11 11 10 9 7 6 5 5 5 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 14 16 17 19 21 22 24 24 23 20 17 14 13 13 13 13 12 10 9 9 9 9 9 10 10 11 11 11 11 11 12 12 11 11 10 10 11 11 10 10 10 11 13 14 nan
nan 7 7 8 8 9 11 12 12 13 13 13 13 13 16 21 27 36 44 53 59 64 66 65 62 59 53 48 41 37 31 28 26 25 25 24 23 22 21 20 19 18 18 17 17 16 16 15 15 14 13 12 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 11 12 12 13 12 11 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 8 10 11 11 11 10 10 10 9 7 6 6 6 5 5 5 5 5 5 6 7 8 8 9 10 11 11 12 13 14 14 15 15 14 14 13 13 13 13 12 12 12 12 13 13 13 13 13 13 14 14 14 15 15 15 14 14 14 14 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 5 5 6 7 9 11 10 10 9 9 10 10 9 9 9 9 9 8 7 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 7 7 8 8 8 9 9 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 14 14 14 14 14 15 15 15 16 16 16 16 16 16 16 16 15 15 14 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 10 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 9 9 10 10 11 10 10 8 7 5 4 4 4 4 4 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 12 12 13 15 16 17 18 19 21 24 25 25 22 19 15 13 13 13 12 10 10 9 9 9 9 9 9 11 11 11 11 11 11 12 12 12 11 9 10 9 9 10 10 11 12 13 13 nan
nan 7 7 7 8 8 9 10 11 12 13 13 12 12 12 15 19 26 34 42 50 55 61 63 64 62 59 54 49 42 36 30 27 25 24 23 23 22 22 21 20 20 19 19 18 17 17 16 15 14 14 13 12 12 11 11 10 9 9 9 9 9 10 10 11 12 12 11 11 11 11 12 13 13 12 11 11 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 7 9 10 11 11 12 11 10 9 7 6 6 5 6 6 6 5 5 6 6 7 8 9 9 10 11 12 12 13 14 15 15 15 14 14 13 13 13 13 13 12 12 12 13 13 13 13 13 14 14 14 14 14 15 15 15 15 14 14 14 13 12 11 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 9 11 12 11 10 9 9 10 10 9 9 9 9 9 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 7 7 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 14 13 13 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 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 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 8 6 5 4 4 4 4 4 4 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 10 10 9 9 8 8 8 8 9 10 11 12 13 13 14 14 14 15 16 17 18 20 23 25 26 25 21 17 15 14 13 12 10 9 9 10 10 9 8 8 9 11 11 10 11 11 12 13 13 11 10 8 7 7 8 9 10 11 10 9 nan
nan 6 6 6 7 8 9 9 10 11 12 13 13 12 12 12 14 18 25 31 39 45 51 55 58 60 59 56 53 47 41 35 31 27 25 23 22 21 21 20 20 20 20 19 18 18 17 16 15 14 13 13 12 12 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 8 9 11 12 12 12 10 9 8 7 6 6 5 6 6 6 6 6 7 8 8 9 10 10 11 12 13 13 14 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 14 13 12 11 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 9 10 12 12 11 9 8 9 10 10 9 9 9 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 9 10 10 11 11 10 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 12 12 13 13 13 13 14 14 14 15 15 15 14 14 15 15 15 15 15 14 14 14 14 14 15 15 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 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 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 9 7 6 5 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 10 9 9 8 8 7 7 7 8 9 10 12 13 14 14 14 14 13 14 14 15 16 19 21 23 26 26 23 19 16 14 12 11 11 10 11 12 12 11 10 9 9 11 11 11 11 11 12 13 13 12 10 8 7 7 8 9 10 10 10 9 nan
nan 5 5 6 7 8 8 9 9 10 11 12 13 12 12 11 12 14 18 23 29 36 41 47 50 53 53 53 51 48 44 39 35 31 28 25 23 22 20 19 19 19 19 18 18 17 16 15 14 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 8 10 11 12 11 11 9 8 7 6 5 5 6 6 7 7 6 7 8 9 10 10 11 11 12 13 13 14 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 13 14 14 14 14 15 15 15 15 15 15 16 15 15 15 15 14 13 11 10 8 8 8 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 6 5 6 7 9 11 12 11 10 9 9 9 10 10 9 9 9 9 9 8 8 8 7 7 6 6 6 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 9 10 10 11 11 10 9 8 8 8 8 8 8 9 10 10 11 11 10 9 9 8 8 8 8 8 8 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 12 12 13 13 13 13 13 14 14 15 15 15 15 14 15 15 15 14 14 14 14 13 14 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 9 9 10 10 11 10 10 9 7 6 4 4 3 3 4 4 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 6 7 7 8 9 10 11 12 12 13 14 13 13 12 12 12 13 15 17 20 23 25 24 21 17 13 11 11 11 11 13 13 13 13 12 11 11 12 12 12 11 11 12 12 12 12 11 9 10 9 9 9 10 10 10 9 nan
nan 4 4 5 6 7 8 8 9 9 10 11 12 12 12 12 11 11 14 17 22 28 33 39 42 46 47 48 47 45 42 39 36 33 30 27 25 23 21 19 18 18 17 17 17 16 15 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 10 10 10 10 11 11 11 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 8 9 10 11 11 10 9 7 6 5 5 5 5 6 7 7 7 8 8 10 10 11 11 11 12 13 14 14 15 15 15 15 15 14 14 14 13 13 13 13 13 14 14 14 14 14 14 15 15 15 15 15 15 15 15 16 15 15 15 14 13 12 10 9 8 8 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 6 5 5 6 7 10 11 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 12 12 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 13 13 13 13 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 7 6 6 6 7 7 7 7 7 8 8 9 9 9 10 10 11 10 10 9 8 7 6 5 4 3 3 3 3 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 9 9 9 10 10 11 12 13 14 14 13 12 11 11 11 12 13 16 19 22 22 20 16 12 11 10 10 11 12 13 14 14 13 13 13 13 12 11 11 11 11 11 12 12 11 12 11 11 11 10 9 9 10 10 nan
nan 4 4 4 5 6 8 8 8 9 9 10 11 12 12 12 11 10 11 13 16 20 25 30 35 39 42 42 43 42 40 38 35 32 30 28 26 23 21 19 18 17 16 15 15 15 14 13 13 13 12 13 13 13 14 14 14 14 14 13 13 12 12 11 10 9 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 11 11 10 9 7 5 5 5 4 5 5 6 7 8 8 9 10 10 11 11 12 12 13 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 13 11 9 8 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 7 6 6 5 5 6 7 10 11 12 11 11 11 11 11 10 10 9 9 9 9 8 8 7 6 6 5 5 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 10 10 10 9 9 9 8 8 7 7 8 8 9 10 10 11 11 11 10 9 9 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 8 8 9 10 10 10 11 11 10 10 9 7 6 5 5 4 4 4 3 3 3 4 4 5 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 12 13 14 14 14 14 13 12 11 11 11 12 13 15 16 16 15 13 11 10 9 9 9 10 12 13 13 13 13 13 12 12 11 10 9 9 10 11 10 10 11 10 11 11 10 9 9 10 11 nan
nan 6 4 4 4 5 6 7 8 8 8 9 10 11 12 12 12 11 10 10 11 14 18 23 28 31 35 37 38 38 38 36 34 31 29 27 26 24 22 20 18 17 16 15 14 13 13 13 12 12 12 12 13 14 14 15 16 16 16 15 14 13 12 11 9 8 8 8 8 9 9 10 9 10 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 11 11 9 7 5 4 4 4 4 5 6 7 8 9 9 10 10 11 11 12 12 13 14 14 15 15 15 15 15 15 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 13 12 10 9 8 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 6 6 6 6 6 5 5 6 7 9 11 11 11 11 11 11 10 10 9 8 8 8 8 8 7 6 5 5 4 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 9 9 10 10 9 9 9 8 8 8 8 7 8 8 9 10 11 11 11 11 11 10 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 14 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 7 7 6 6 6 7 7 7 7 8 9 9 10 11 11 11 11 10 9 8 7 6 5 5 4 4 4 4 4 4 4 5 5 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 10 10 10 11 11 12 12 12 13 13 14 14 14 14 13 12 12 12 12 12 13 13 12 12 10 10 8 8 8 9 10 11 13 12 11 11 11 11 11 11 10 9 9 8 8 8 10 10 10 11 10 10 10 11 12 14 nan
nan 7 6 4 4 4 5 6 7 8 8 8 9 10 11 12 12 11 10 9 10 11 13 16 20 24 28 31 33 34 34 34 33 31 29 27 25 24 22 20 19 17 16 14 13 13 12 12 11 11 11 11 11 12 13 14 15 16 16 16 15 14 12 11 9 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 10 11 10 9 7 5 4 4 4 4 5 6 7 8 9 9 10 10 11 11 12 12 13 14 14 15 15 15 15 15 15 15 15 14 14 14 14 14 15 15 15 15 15 15 15 14 14 14 14 14 14 14 13 13 13 13 14 14 14 13 11 10 8 8 8 8 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 8 7 7 6 6 6 6 6 6 6 6 7 8 9 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 6 5 5 4 4 5 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 8 8 9 9 10 10 9 9 8 8 7 7 7 7 8 9 9 10 11 11 12 11 11 10 10 9 8 8 8 9 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 13 13 13 14 14 15 15 15 15 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 10 10 9 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 10 10 11 12 12 11 11 9 8 7 6 5 5 4 5 4 5 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 10 10 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 13 12 11 9 8 8 7 8 10 12 13 13 12 11 10 10 10 10 10 10 9 8 8 8 10 10 11 12 11 11 12 13 14 15 nan
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nan 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 14 14 13 13 13 13 14 14 14 14 14 14 15 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 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 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 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 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 9 8 8 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 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
59 58 58 56 52 48 47 49 51 51 49 43 32 20 13 10 13 21 46 61 71 70 66 64 71 85 92 73 47 32 36 45 43 34 25 20 17 13 9 4 3 3 4 6 8 12 18 25 32 39 47 52 55 57 59 60 61 61 61 62 64 64 61 58 56 55 57 59 59 54 48 45 42 39 40 41 42 43 41 38 34 31 27 25 23 20 16 14 13 12 11 10 11 11 11 11 10 10 9 8 6 5 4 2 1 0 1 0 1 2 2 1 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 4 4 2 3 4 8 13 19 29 44 54 55 50 45 41 35 28 24 21 18 12 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 1 1 1 2 3 4 4 5 6 6 7 8 8 8 8 9 9 8 6 4 4 4 3 3 3 4 4 5 8 11 15 20 24 24 19 16 16 18 22 24 24 24 29 33 35 33 25 21 20 17 17 19 17 15 13 13 16 19 16 8 5 4 5 5 6 6 5 4 3 2 1 1 2 2 2 3 2 2 2 2 3 3 3 3 4 5 7 8 9 12 12 10 7 6 6 6 6 5 5 5 5 6 6 6 6 6 5 4 3 3 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 5 6 7 8 10 9 8 7 7 9 12 15 15 13 14 15 15 14 14 15 16 17 12 12 11 9 7 6 7 7 7 6 4 4 5 5 6 7 7 7 7 7 7 8 7 7 8 8 9 9 8 7 7 7 6 5 5 5 5 5 6 5 5 4 3 4 4 4 4 3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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