Vorticity
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nan 9 8 7 7 7 5 5 7 9 10 11 10 7 5 4 5 5 6 8 10 10 9 6 3 2 3 5 7 7 5 4 5 6 5 4 3 3 4 4 4 4 5 5 6 6 5 6 6 6 6 6 5 5 7 9 10 10 9 8 8 8 8 9 9 7 5 4 4 4 5 4 4 4 4 5 5 6 6 6 5 4 4 5 6 7 7 7 7 6 6 5 5 6 6 6 4 4 6 7 6 6 6 6 5 6 7 9 10 10 10 10 11 11 9 7 6 7 7 4 2 3 4 4 8 12 10 7 4 4 7 10 11 11 11 12 11 10 10 10 9 8 6 3 2 2 3 4 5 6 7 8 7 5 5 5 5 6 6 7 7 8 9 9 10 nan
nan 8 8 7 8 10 8 5 4 7 10 11 11 9 6 5 5 5 6 7 7 8 9 6 2 3 5 8 8 7 6 6 6 4 3 3 4 4 5 5 5 4 5 5 6 7 6 5 5 5 5 5 5 6 7 9 10 10 9 9 8 8 9 10 9 7 4 3 3 4 5 4 3 3 4 5 5 6 7 6 5 5 5 6 6 6 6 5 5 6 6 6 5 6 7 6 4 4 5 7 9 9 7 4 3 4 7 8 10 11 11 10 10 10 10 8 8 8 7 5 4 2 2 6 9 10 8 6 5 7 10 12 12 10 9 10 11 11 10 9 8 8 7 4 2 2 3 5 6 6 7 7 6 6 6 6 6 6 8 8 9 10 11 10 10 nan
nan 7 9 9 9 11 11 5 1 4 9 10 11 9 6 6 5 6 6 5 5 8 9 6 2 2 6 8 6 6 6 7 5 3 4 5 6 6 5 5 5 5 6 6 7 6 5 6 5 5 5 6 7 7 7 8 9 9 10 9 8 7 8 9 10 8 6 4 3 4 5 4 4 4 4 5 6 7 7 7 6 6 6 6 5 5 5 5 5 6 7 6 6 7 7 6 4 3 5 7 9 9 6 3 2 5 8 9 10 11 10 9 8 8 9 9 9 9 8 6 5 5 5 5 6 5 6 8 9 8 9 10 9 7 6 9 11 12 11 10 9 8 7 5 3 4 5 7 8 9 8 7 6 6 6 5 4 5 8 9 11 12 12 11 11 nan
nan 6 10 11 9 9 10 7 3 1 4 8 12 10 6 5 5 6 7 6 6 9 9 5 0 1 6 7 5 5 6 6 4 4 5 7 8 7 6 8 8 8 7 7 7 6 5 5 6 6 7 7 7 7 7 8 8 9 9 9 9 8 7 8 9 9 8 6 4 4 5 5 5 4 4 5 6 7 7 6 6 6 6 5 5 4 5 5 6 7 8 7 7 7 7 6 5 5 6 7 8 8 6 4 4 6 8 8 8 7 7 7 8 8 8 8 9 10 10 9 9 9 8 7 4 1 3 6 7 6 6 6 6 6 7 8 11 12 11 11 10 9 7 5 6 7 8 9 10 12 10 8 6 5 3 2 2 4 6 9 12 13 13 13 12 nan
nan 6 10 10 8 8 10 10 7 3 0 4 8 10 7 4 5 6 7 9 9 8 7 4 1 2 5 6 6 6 7 6 5 5 5 5 8 9 9 9 10 10 9 7 6 6 6 6 6 7 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 10 9 6 4 5 5 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 5 7 7 8 7 6 5 6 8 9 9 8 8 9 10 10 11 10 10 9 6 4 3 5 7 6 5 4 4 6 8 10 11 12 11 11 10 8 7 6 8 8 9 10 11 12 10 9 7 4 3 3 3 4 6 8 11 12 13 14 12 nan
nan 6 8 8 9 9 8 9 9 6 3 2 4 7 7 7 6 5 6 9 11 8 5 4 5 4 3 5 6 7 8 6 5 6 6 5 7 11 12 10 9 8 9 8 6 6 7 6 7 7 8 7 6 6 7 8 7 7 7 7 8 8 8 7 7 9 10 10 9 6 5 5 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 4 5 5 6 6 7 7 7 6 6 7 8 8 8 8 7 6 6 7 7 6 6 7 9 9 8 7 9 9 9 10 10 9 9 8 8 7 7 7 7 7 5 4 5 7 9 10 11 11 10 9 8 6 7 8 8 9 10 10 10 9 8 7 5 4 4 5 6 7 9 9 10 12 13 12 nan
nan 6 6 5 7 9 8 8 10 10 7 4 2 3 5 7 7 6 5 7 10 9 6 6 7 6 4 5 7 8 8 7 6 7 8 7 8 10 11 10 9 8 8 8 7 7 7 8 7 7 7 7 5 6 7 7 7 6 6 7 8 8 7 7 7 8 9 10 11 9 7 6 6 7 7 6 6 5 6 6 6 6 6 6 7 7 7 6 7 6 6 5 5 5 6 6 7 7 6 6 7 8 9 9 9 6 5 5 7 7 7 7 7 8 8 8 8 9 9 8 8 8 9 9 9 10 11 9 7 4 4 6 8 7 7 7 8 10 11 11 10 8 6 5 7 7 9 9 8 7 7 7 7 6 5 5 6 7 7 9 9 9 10 11 11 nan
nan 10 8 3 4 6 8 8 10 11 9 6 3 1 3 7 7 6 5 5 8 10 8 7 8 8 6 5 6 7 9 8 7 8 9 9 8 8 8 9 10 9 8 8 7 7 7 7 6 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 10 11 11 10 9 8 8 9 8 8 7 6 6 6 6 6 7 7 7 6 5 7 6 7 6 6 6 6 7 7 7 8 9 8 8 9 10 9 7 5 6 8 8 7 8 8 8 8 8 9 10 9 9 9 9 9 10 10 10 10 9 8 6 4 5 8 7 6 7 8 9 9 9 10 8 6 6 6 7 8 8 7 7 7 7 7 6 6 7 7 7 8 8 9 10 10 10 11 nan
nan 14 12 6 2 4 8 10 10 10 9 7 3 2 4 6 6 5 5 6 8 10 10 7 8 9 7 6 5 6 8 9 7 8 9 9 8 7 7 9 9 9 8 8 8 7 6 6 6 6 7 8 6 5 6 6 7 7 7 7 7 7 7 8 9 9 9 9 10 12 11 11 10 10 9 9 9 9 8 8 8 7 7 7 7 6 6 7 7 7 8 8 8 8 7 7 8 8 8 9 8 8 9 10 9 8 7 7 8 9 9 9 9 8 8 8 8 7 7 9 10 10 10 10 10 9 8 8 9 9 10 9 6 3 3 5 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 9 10 nan
nan 16 16 9 5 6 8 7 9 12 11 7 3 3 6 5 3 4 5 8 11 10 9 9 8 8 5 4 4 6 8 8 7 8 9 10 8 7 7 7 8 8 8 8 8 7 5 4 5 6 7 8 7 6 6 7 7 7 7 6 6 6 7 8 9 10 9 9 10 11 11 11 10 10 10 10 9 9 9 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 7 8 7 7 8 8 8 8 9 9 9 8 8 8 7 6 6 7 7 8 9 8 7 7 7 8 9 9 10 10 9 6 6 6 7 8 8 8 7 6 6 7 7 7 7 8 9 9 9 9 8 9 9 9 9 10 9 9 9 9 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 6 16 16 12 12 14 18 17 12 10 11 12 12 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 0 2 4 4 4 5 4 4 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 2 1 0 1 5 10 12 12 12 14 23 37 38 32 20 16 16 15 14 14 17 24 32 38 43 47 50 50 49 48 47 44 41 37 36 35 34 31 23 22 23 23 20 18 15 11 8 6 4 3 4 6 6 6 6 6 4 3 1 0 0 0 0 0 3 10 19 24 24 21 17 15 14 14 20 31 40 47 54 67 80 75 54 37 40 51 44 24 11 6 5 7 13 18 14
0 0 0 3 10 17 16 13 13 15 17 16 11 8 9 10 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 5 5 5 4 5 6 6 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 8 13 12 9 10 14 21 31 29 21 16 16 16 15 14 12 13 17 20 24 30 38 43 46 48 50 48 44 39 35 34 32 29 24 21 20 20 17 18 18 16 12 8 5 4 4 6 7 6 6 5 4 3 2 1 0 0 0 1 7 17 24 24 19 14 12 11 10 10 12 17 25 31 37 47 61 77 85 69 54 54 53 40 23 14 11 12 19 25 20
0 0 0 4 12 18 17 15 14 15 17 14 10 8 9 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 4 4 4 5 5 5 6 4 4 3 4 4 4 4 4 5 5 5 5 5 6 5 5 4 6 12 15 10 7 8 10 14 17 18 17 16 18 17 16 14 12 12 12 13 15 19 24 30 36 43 46 47 45 44 43 39 33 23 19 19 19 19 18 18 15 14 11 7 5 6 6 7 7 6 5 4 3 2 2 1 0 1 4 15 25 27 21 14 11 9 8 8 8 10 11 12 18 24 30 38 51 72 84 80 68 60 53 39 25 18 16 23 31 28
0 0 1 5 13 19 18 16 15 14 14 12 10 8 8 6 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 1 1 2 3 5 6 5 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 6 6 7 6 6 6 6 6 5 5 8 16 17 9 8 8 8 10 12 13 14 15 16 15 14 13 12 11 10 11 12 12 15 18 25 33 38 42 47 48 45 39 30 20 17 19 20 17 13 10 9 8 6 6 6 7 7 6 5 4 5 6 8 9 7 6 7 14 26 33 28 20 13 7 3 5 4 6 8 9 9 10 12 18 25 33 48 72 89 85 67 60 52 34 23 20 24 33 34
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0 0 3 10 17 19 16 14 13 13 16 17 12 4 3 3 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 1 2 3 4 3 3 3 4 5 6 7 8 7 6 5 4 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 5 6 6 6 10 14 16 17 15 14 13 13 14 18 26 31 30 28 24 21 18 13 11 9 8 9 8 8 8 8 8 8 8 9 9 11 16 22 26 24 21 20 20 19 17 16 17 16 14 10 6 6 6 6 6 8 10 12 16 24 31 32 26 18 12 9 7 4 1 0 0 0 0 0 0 0 1 3 11 19 27 33 39 44 51 72 91 84 62 43 34 34 36 36
0 1 6 12 17 17 15 13 13 14 17 17 10 4 3 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 1 1 2 3 4 4 4 4 7 12 13 14 16 16 13 6 5 6 6 6 6 5 4 4 4 3 4 4 4 4 4 5 6 6 6 7 15 17 17 14 14 13 12 13 15 21 32 40 44 46 44 43 42 37 28 21 15 12 12 12 14 13 12 12 12 13 14 17 20 23 21 16 14 18 20 22 21 21 21 20 20 18 15 14 12 12 14 15 14 13 16 24 28 21 14 8 4 3 1 0 0 0 0 0 0 0 0 1 5 6 10 18 23 29 36 43 48 60 79 89 75 48 29 23 25 27
0 2 7 12 15 15 13 12 13 16 17 14 6 4 4 3 2 1 0 0 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 4 4 4 6 11 18 20 20 19 18 12 5 5 6 6 6 5 4 4 3 3 3 4 4 5 5 6 7 7 7 6 7 16 17 16 15 14 13 12 13 14 17 23 27 32 39 44 48 51 51 47 43 37 32 28 26 28 27 25 23 21 20 20 21 21 18 13 9 9 14 18 21 22 22 22 22 22 23 21 19 19 20 21 21 20 18 20 23 19 11 6 2 1 1 0 0 0 0 0 0 0 0 0 3 8 8 7 13 16 20 30 42 50 56 68 86 86 58 29 16 15 18
0 4 8 10 12 13 12 12 13 15 15 10 5 4 3 3 2 0 0 0 0 0 0 1 4 6 6 4 2 0 0 0 0 0 1 1 3 5 6 6 5 5 4 4 4 4 4 5 7 12 16 16 12 10 6 4 4 5 5 5 5 4 4 4 4 4 5 5 6 7 8 8 9 8 8 12 18 19 18 16 15 15 14 14 14 13 14 15 18 26 34 40 43 44 47 51 51 49 47 45 41 38 34 30 25 21 18 17 16 15 13 13 15 16 18 20 22 24 26 26 27 28 28 27 25 26 26 25 24 23 25 25 18 9 4 2 3 3 2 0 0 0 0 0 0 0 0 4 8 8 8 12 14 15 22 36 51 59 66 80 91 71 36 14 9 15
1 4 7 8 10 11 12 12 12 12 10 7 5 4 3 1 0 0 0 0 0 0 1 4 8 9 9 7 3 0 0 0 0 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 5 4 4 4 4 5 5 4 4 4 4 5 5 6 7 8 9 9 10 11 13 15 18 20 21 20 18 18 20 20 20 16 14 14 17 23 31 37 41 44 46 48 51 53 53 51 47 42 37 32 27 23 19 17 17 21 26 23 21 22 21 18 18 21 25 28 32 33 33 31 29 28 29 28 26 25 26 28 26 19 12 6 5 6 5 3 1 0 0 0 0 0 0 0 2 6 8 10 12 13 14 19 32 50 64 66 76 95 85 46 17 7 16
1 4 7 8 8 9 10 9 8 8 6 4 4 5 5 2 1 0 0 0 0 0 3 6 8 8 8 8 5 0 0 0 2 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 10 10 12 14 17 19 19 19 22 23 24 26 30 34 37 36 30 24 23 29 39 48 53 54 56 57 60 64 70 73 66 53 42 34 31 28 25 25 29 38 48 50 47 40 30 22 17 17 20 25 29 32 35 36 34 33 33 32 31 29 27 28 28 25 18 11 7 6 6 5 3 0 0 0 0 0 0 0 0 0 3 7 11 14 14 14 20 33 50 67 69 74 98 97 59 25 12 21
0 4 6 7 7 7 7 6 6 6 5 4 5 5 6 3 0 0 0 0 1 5 7 8 7 7 8 8 5 0 0 1 4 6 6 5 4 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 8 9 10 10 10 11 13 18 22 24 24 27 28 28 29 37 47 52 53 52 48 42 37 42 51 58 60 60 59 60 71 81 87 92 90 76 55 40 34 34 35 39 48 57 60 58 52 42 29 19 16 20 26 31 35 40 43 45 45 46 45 44 43 40 38 36 32 27 20 13 9 7 6 5 2 0 0 0 0 0 0 0 0 0 2 6 13 17 17 19 28 42 56 70 75 81 98 101 74 41 25 30
0 4 7 7 7 6 6 6 6 6 5 5 5 5 5 2 0 0 0 3 7 9 10 10 9 8 8 8 5 1 0 1 4 5 6 5 4 2 1 1 2 2 2 3 3 4 5 5 5 4 4 4 4 4 5 6 6 5 5 5 6 6 7 8 9 10 10 10 9 10 14 21 26 29 31 33 32 29 28 32 38 44 48 51 51 48 43 44 52 56 56 54 52 51 53 60 71 83 93 93 79 60 48 42 43 50 55 55 48 39 31 23 16 14 19 30 40 45 49 54 60 61 62 63 63 60 58 57 55 49 40 31 25 22 18 12 8 6 3 2 0 0 0 0 0 0 0 0 1 6 15 22 25 28 41 60 68 74 79 85 96 105 91 59 38 37
1 4 7 8 7 7 6 6 7 6 5 6 6 5 4 2 0 0 2 8 13 14 12 10 9 8 8 6 4 1 0 0 1 0 0 1 2 2 1 1 1 2 2 2 3 3 4 4 5 4 4 5 5 5 6 7 6 6 5 6 7 8 8 8 9 10 9 9 8 9 15 24 28 30 32 32 29 26 24 23 23 25 30 35 36 35 32 33 39 43 42 40 39 40 40 39 42 51 66 82 90 85 73 58 49 50 49 39 25 17 14 12 10 14 25 39 48 50 51 55 59 58 56 58 60 60 60 58 57 53 44 36 31 30 28 20 11 6 4 4 2 1 0 0 0 0 0 0 2 8 20 30 35 37 54 73 79 81 80 74 78 97 100 72 47 42
2 4 7 8 7 6 6 6 6 6 6 6 5 4 3 2 0 0 3 10 15 15 12 10 8 6 5 2 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 4 4 4 4 4 4 5 6 6 6 6 7 6 6 6 7 8 8 8 9 10 10 10 9 9 11 17 21 22 22 23 22 21 20 20 20 19 18 18 20 19 17 15 16 20 22 22 23 24 24 24 24 23 25 32 46 66 82 85 72 57 48 38 24 15 16 22 23 20 22 27 30 28 27 30 33 34 30 29 31 35 40 42 42 42 42 39 35 34 34 31 26 18 10 7 6 6 6 4 1 0 0 0 2 5 14 24 33 38 45 62 78 83 86 81 66 60 75 88 74 53 45
2 4 6 6 6 5 5 5 6 6 6 6 4 4 4 2 1 0 2 8 10 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 6 6 5 4 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 10 10 11 11 10 12 14 16 15 13 12 10 10 10 13 14 15 16 16 15 14 13 11 8 8 9 10 10 10 10 8 6 6 7 9 13 20 32 51 67 69 61 49 33 20 17 24 35 42 40 32 21 12 7 4 7 8 10 8 8 11 15 19 23 26 29 33 34 34 31 29 28 27 24 18 14 12 13 14 11 4 0 0 2 5 10 18 26 34 41 50 64 77 86 94 92 76 59 61 72 67 52 45
2 3 5 4 3 3 4 5 6 7 6 4 3 4 4 3 1 0 0 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 5 5 6 6 6 6 6 6 6 7 8 8 8 8 8 9 10 9 8 10 12 15 15 16 14 10 8 6 4 3 4 6 8 9 10 11 11 12 12 12 11 10 10 9 5 2 1 0 0 0 0 0 3 7 13 26 43 54 56 49 35 21 15 20 33 43 41 28 11 2 1 0 0 1 2 4 6 7 8 12 17 20 25 30 32 32 28 24 24 27 28 26 23 21 22 23 17 7 0 1 4 6 11 18 26 35 41 48 57 70 84 98 108 103 79 60 63 62 51 44
3 2 2 1 1 2 3 5 6 6 5 2 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 4 6 8 8 7 7 7 8 8 7 7 7 7 7 7 8 8 8 9 11 10 8 6 8 10 14 14 14 10 8 7 5 3 2 2 3 4 5 5 5 6 8 10 13 15 16 13 7 2 0 0 0 0 0 0 0 0 1 6 14 28 41 49 47 36 22 12 12 22 31 29 15 3 0 0 0 0 0 1 4 6 6 7 12 16 19 26 30 29 29 26 22 22 25 27 27 26 25 24 22 16 6 1 2 5 6 11 18 27 36 41 44 49 58 68 82 102 117 113 92 76 65 53 44
3 2 0 0 0 2 3 4 5 4 2 1 2 5 5 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 2 3 4 5 8 11 11 9 8 8 8 8 8 8 8 9 10 9 9 9 9 10 11 10 7 6 7 8 10 10 9 7 6 5 3 2 1 1 1 2 2 3 3 4 5 7 12 16 15 10 3 0 0 0 0 0 0 0 0 0 1 4 12 22 31 36 35 28 20 16 16 18 19 15 6 0 0 0 0 0 0 1 3 4 3 5 9 12 15 23 29 27 27 25 22 20 21 22 20 19 18 17 14 8 3 1 3 4 5 10 17 26 35 42 44 46 50 56 63 78 100 122 125 109 86 65 49
3 2 0 0 1 2 3 3 3 2 0 1 3 6 4 0 2 4 3 1 0 0 0 0 0 0 0 0 0 2 3 3 3 2 0 0 1 0 1 2 3 4 5 7 10 12 11 10 10 10 10 9 9 10 14 16 14 11 10 10 10 9 7 6 5 5 5 5 5 4 4 3 2 1 1 0 0 0 1 1 1 1 3 4 6 10 10 6 2 1 0 0 0 0 0 0 0 0 1 4 9 16 23 27 26 21 17 17 20 22 16 8 4 1 0 0 0 0 0 0 0 1 2 1 2 6 7 10 18 23 24 24 25 22 19 17 15 12 10 9 9 8 6 4 3 2 3 4 8 14 22 32 41 45 45 46 49 54 60 72 99 130 138 118 88 62
4 2 0 1 2 3 3 2 2 1 0 2 5 6 5 1 4 5 4 1 0 0 0 0 0 0 0 1 2 2 3 3 3 2 2 2 2 2 2 3 3 4 5 6 6 8 11 12 12 12 11 10 10 12 18 21 18 13 10 10 8 6 4 4 3 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 2 3 5 6 3 1 0 0 0 0 0 0 0 0 0 1 3 8 15 22 25 26 23 17 13 13 15 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 10 14 16 17 18 19 17 14 10 6 3 2 3 3 3 4 4 3 4 5 7 11 18 27 35 39 40 40 43 49 52 56 70 99 126 130 111 84
4 3 2 2 4 4 2 1 1 0 1 3 5 5 3 0 0 3 2 0 0 0 0 0 0 1 2 2 3 4 4 4 3 3 4 4 4 4 3 3 4 5 6 5 5 5 6 8 11 12 11 11 12 14 16 17 14 11 9 8 5 3 2 1 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 1 3 6 13 18 20 20 16 12 9 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 9 10 11 11 10 8 5 2 0 1 0 1 1 3 6 9 10 10 10 13 19 25 29 31 33 35 39 44 46 52 66 92 116 122 108
5 4 4 4 5 4 2 1 0 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 5 5 5 4 4 4 4 5 6 6 5 5 5 5 6 10 13 13 13 14 14 14 12 10 8 7 4 2 1 0 0 0 0 1 2 2 1 1 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 0 0 2 4 6 8 8 6 4 1 1 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 5 4 3 3 3 2 2 8 15 19 18 14 12 12 15 18 20 21 23 26 30 33 36 40 46 64 94 118 121
5 5 5 6 5 3 1 0 0 1 2 3 2 2 2 1 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 4 5 5 6 5 3 3 3 5 6 7 6 5 5 5 5 6 10 13 13 13 14 14 13 11 9 7 5 2 0 0 0 0 0 0 1 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 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 1 2 2 4 6 8 11 13 16 22 30 34 31 26 23 20 16 13 13 13 15 19 23 27 31 38 46 57 79 104 115
5 6 5 6 4 2 1 0 0 1 2 1 1 1 2 2 1 0 0 0 0 0 1 2 3 4 4 4 4 4 5 6 6 6 5 3 1 1 3 5 7 7 7 6 6 6 5 5 6 7 8 8 10 11 11 10 8 7 4 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 15 22 31 40 46 48 44 42 38 31 24 20 18 18 21 28 34 41 56 76 90 99 108 113
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3 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 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 28 41 54 65 72 74 72 68 70 73 78 83 84 82 79 83 99 123
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