For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 0 , 0 , 0 , 0 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 0 , 0 , 0 , 0 ) in Root notation.
l(Lambda) = 0;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 0 , 0 , 1 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 1 , 1 , 1 ) in Root notation.
l(Lambda) = 1;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 1 , 0 , 0 , 1 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 1 , 1 , 1 , 1 ) in Root notation.
l(Lambda) = 1;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 0 , 1 , 0 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 2 , 2 , 1 ) in Root notation.
l(Lambda) = 2;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 3

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 2 , 0 , 1 , 0 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 2 , 2 , 1 ) in Root notation.
l(Lambda) = 2;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 2 , 0 , 1 , 0 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 2 , 2 , 2 , 1 ) in Root notation.
l(Lambda) = 2;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 0 , 1 , 0 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 2 , 2 , 2 ) in Root notation.
l(Lambda) = 2;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 3

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 0 , 1 , 0 , 2 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 1 , 2 , 2 , 2 ) in Root notation.
l(Lambda) = 2;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 0 , 1 , 0 , 2 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 1 , 2 , 2 , 2 ) in Root notation.
l(Lambda) = 2;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 1 , 0 , 0 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 3 , 2 , 1 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 1

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 3 , 1 , 0 , 0 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 3 , 2 , 1 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 1

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 3 , 1 , 0 , 0 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 3 , 3 , 2 , 1 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 3 , 1 , 0 , 0 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 3 , 3 , 2 , 1 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 1 , 1 , 1 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 3 , 3 , 2 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 24
Rank = 14

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 1 , 1 , 1 , 1 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 3 , 3 , 2 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 9

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 1 , 1 , 1 , 1 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 2 , 3 , 3 , 2 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 1 , 1 , 1 , 1 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 2 , 3 , 3 , 2 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 1 , 1 , 1 , 1 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 2 , 3 , 3 , 2 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 0 , 0 , 1 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 2 , 3 , 3 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 1

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 0 , 0 , 1 , 3 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 1 , 2 , 3 , 3 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 1

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 0 , 0 , 1 , 3 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 1 , 2 , 3 , 3 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 0 , 0 , 1 , 3 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 1 , 2 , 3 , 3 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 2 , 0 , 1 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 4 , 3 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 21
Rank = 3

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 2 , 2 , 0 , 1 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 4 , 3 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 3

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 2 , 2 , 0 , 1 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 3 , 4 , 3 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 3

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 2 , 2 , 0 , 1 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 3 , 4 , 3 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 1

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 2 , 2 , 0 , 1 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 3 , 4 , 3 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 2 , 0 , 1 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 3 , 4 , 3 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 2 , 2 , 0 , 1 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 3 , 4 , 3 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 0 , 2 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 3 , 4 , 3 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 21
Rank = 3

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 1 , 0 , 2 , 2 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 3 , 4 , 3 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 3

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 1 , 0 , 2 , 2 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 2 , 3 , 4 , 3 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 1

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 1 , 0 , 2 , 2 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 2 , 3 , 4 , 3 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 3

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 1 , 0 , 2 , 2 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 2 , 3 , 4 , 3 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 1 , 0 , 2 , 2 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 2 , 3 , 4 , 3 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 1 , 0 , 2 , 2 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 2 , 3 , 4 , 3 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 0 , 2 , 2 , 0 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 4 , 4 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 1

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 0 , 2 , 2 , 0 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 4 , 4 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 1

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 0 , 2 , 2 , 0 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 2 , 4 , 4 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 1

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 0 , 2 , 2 , 0 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 2 , 4 , 4 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 1

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 0 , 2 , 2 , 0 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 2 , 4 , 4 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 0 , 2 , 2 , 0 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 2 , 4 , 4 , 2 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 54
Rank = 29

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 42
Rank = 24

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 27
Rank = 18

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 18
Rank = 11

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 12

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 11
Rank = 8

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 3

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 5

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 2

For Mu ( 3 , 2 , 0 , 2 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 4 , 5 , 4 , 3 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 5
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 5 , 0 , 0 , 0 ) and Lambda ( 3 , 2 , 0 , 2 )
That's Mu ( 4 , 3 , 2 , 1 ) and Lambda ( 4 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 5

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 3 , 1 , 0 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 5 , 4 , 2 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 24
Rank = 3

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 1 , 3 , 1 , 0 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 5 , 4 , 2 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 18
Rank = 3

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 1 , 3 , 1 , 0 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 3 , 5 , 4 , 2 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 3

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 1 , 3 , 1 , 0 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 3 , 5 , 4 , 2 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 8
Rank = 2

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 1 , 3 , 1 , 0 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 3 , 5 , 4 , 2 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 1

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 1 , 3 , 1 , 0 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 3 , 5 , 4 , 2 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 2

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 1 , 3 , 1 , 0 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 3 , 5 , 4 , 2 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 1 , 3 , 1 , 0 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 3 , 5 , 4 , 2 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 1 , 3 , 1 , 0 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 3 , 5 , 4 , 2 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 54
Rank = 29

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 42
Rank = 24

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 18
Rank = 11

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 27
Rank = 18

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 3

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 11
Rank = 8

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 12

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 5

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 2

For Mu ( 2 , 0 , 2 , 3 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 3 , 4 , 5 , 4 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 5
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 5 ) and Lambda ( 2 , 0 , 2 , 3 )
That's Mu ( 1 , 2 , 3 , 4 ) and Lambda ( 3 , 4 , 5 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 5

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 0 , 1 , 3 , 1 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 4 , 5 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 24
Rank = 3

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 0 , 1 , 3 , 1 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 4 , 5 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 18
Rank = 3

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 0 , 1 , 3 , 1 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 2 , 4 , 5 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 8
Rank = 2

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 0 , 1 , 3 , 1 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 2 , 4 , 5 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 3

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 0 , 1 , 3 , 1 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 2 , 4 , 5 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 2

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 0 , 1 , 3 , 1 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 2 , 4 , 5 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 1

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 0 , 1 , 3 , 1 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 2 , 4 , 5 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 0 , 1 , 3 , 1 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 2 , 4 , 5 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 0 , 1 , 3 , 1 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 2 , 4 , 5 , 3 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 136
Rank = 48

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +1 t^4 )
Weyl(Mu, Lambda) = 100
Rank = 32

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 56
Rank = 19

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 56
Rank = 19

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 26
Rank = 9

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 29
Rank = 10

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 26
Rank = 9

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 12
Rank = 4

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 12
Rank = 4

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 8
Rank = 4

For Mu ( 3 , 2 , 0 , 2 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 4 , 5 , 4 , 3 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 2 , 0 , 2 , 3 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 3 , 4 , 5 , 4 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 5 , 0 , 0 , 0 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 4 , 3 , 2 , 1 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 3

For Mu ( 0 , 0 , 0 , 5 ) and Lambda ( 3 , 1 , 1 , 3 )
That's Mu ( 1 , 2 , 3 , 4 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 3

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 96
Rank = 29

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 78
Rank = 26

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 52
Rank = 20

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 44
Rank = 18

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 26
Rank = 11

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 30
Rank = 14

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 12
Rank = 5

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 9

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 4

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 9

For Mu ( 3 , 2 , 0 , 2 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 4 , 5 , 4 , 3 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 6

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 2 , 3 , 1 , 1 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 4 , 6 , 5 , 3 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 5 , 0 , 0 , 0 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 4 , 3 , 2 , 1 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 3

For Mu ( 0 , 5 , 0 , 0 ) and Lambda ( 2 , 3 , 1 , 1 )
That's Mu ( 3 , 6 , 4 , 2 ) and Lambda ( 4 , 6 , 5 , 3 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 2

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 96
Rank = 29

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 78
Rank = 26

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 44
Rank = 18

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 52
Rank = 20

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 12
Rank = 5

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 30
Rank = 14

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 26
Rank = 11

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 4

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 9

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 9

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 2 , 0 , 2 , 3 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 3 , 4 , 5 , 4 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 6

For Mu ( 1 , 1 , 3 , 2 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 3 , 5 , 6 , 4 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 5 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 1 , 2 , 3 , 4 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 3

For Mu ( 0 , 0 , 5 , 0 ) and Lambda ( 1 , 1 , 3 , 2 )
That's Mu ( 2 , 4 , 6 , 3 ) and Lambda ( 3 , 5 , 6 , 4 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 2

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 219
Rank = 16

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 174
Rank = 13

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 111
Rank = 10

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 111
Rank = 10

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 51
Rank = 7

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 70
Rank = 8

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 51
Rank = 7

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 31
Rank = 5

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 31
Rank = 5

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 35
Rank = 6

For Mu ( 3 , 2 , 0 , 2 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 4 , 5 , 4 , 3 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 2

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 3

For Mu ( 2 , 0 , 2 , 3 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 3 , 4 , 5 , 4 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 2

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 3

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 2 , 3 , 1 , 1 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 4 , 6 , 5 , 3 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 1 , 1 , 3 , 2 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 3 , 5 , 6 , 4 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 2 , 2 , 2 , 2 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 4 , 6 , 6 , 4 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 5 , 0 , 0 , 0 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 4 , 3 , 2 , 1 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 15
Rank = 3

For Mu ( 0 , 0 , 0 , 5 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 1 , 2 , 3 , 4 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 15
Rank = 3

For Mu ( 0 , 5 , 0 , 0 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 3 , 6 , 4 , 2 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 3
Rank = 1

For Mu ( 0 , 0 , 5 , 0 ) and Lambda ( 2 , 2 , 2 , 2 )
That's Mu ( 2 , 4 , 6 , 3 ) and Lambda ( 4 , 6 , 6 , 4 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 3
Rank = 1

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 +1 t^6 )
Weyl(Mu, Lambda) = 104
Rank = 33

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 89
Rank = 30

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 66
Rank = 23

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 58
Rank = 23

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 41
Rank = 16

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 43
Rank = 18

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 24
Rank = 13

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 27
Rank = 13

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 18
Rank = 10

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 24
Rank = 12

For Mu ( 3 , 2 , 0 , 2 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 4 , 5 , 4 , 3 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 8

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 7

For Mu ( 2 , 3 , 1 , 1 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 4 , 6 , 5 , 3 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 3 , 3 , 2 , 0 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 5 , 7 , 6 , 3 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 5 , 0 , 0 , 0 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 4 , 3 , 2 , 1 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 9

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 0 , 5 , 0 , 0 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 3 , 6 , 4 , 2 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 6
Rank = 4

For Mu ( 0 , 0 , 5 , 0 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 2 , 4 , 6 , 3 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 1 , 5 , 0 , 1 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 4 , 7 , 5 , 3 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 7
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 6 , 0 , 0 , 1 ) and Lambda ( 3 , 3 , 2 , 0 )
That's Mu ( 5 , 4 , 3 , 2 ) and Lambda ( 5 , 7 , 6 , 3 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 3

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 +1 t^6 )
Weyl(Mu, Lambda) = 104
Rank = 33

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 89
Rank = 30

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 58
Rank = 23

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 66
Rank = 23

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 24
Rank = 13

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 43
Rank = 18

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 41
Rank = 16

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 18
Rank = 10

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 27
Rank = 13

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 24
Rank = 12

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 7

For Mu ( 2 , 0 , 2 , 3 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 3 , 4 , 5 , 4 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 8

For Mu ( 1 , 1 , 3 , 2 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 3 , 5 , 6 , 4 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 0 , 2 , 3 , 3 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 3 , 6 , 7 , 5 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 0 , 0 , 0 , 5 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 1 , 2 , 3 , 4 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 9

For Mu ( 0 , 5 , 0 , 0 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 3 , 6 , 4 , 2 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 0 , 0 , 5 , 0 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 2 , 4 , 6 , 3 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 6
Rank = 4

For Mu ( 1 , 0 , 5 , 1 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 3 , 5 , 7 , 4 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 7
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 1 , 0 , 0 , 6 ) and Lambda ( 0 , 2 , 3 , 3 )
That's Mu ( 2 , 3 , 4 , 5 ) and Lambda ( 3 , 6 , 7 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 3

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +3 t^4 +2 t^6 )
Weyl(Mu, Lambda) = 296
Rank = 63

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 248
Rank = 56

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 173
Rank = 45

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 176
Rank = 44

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 92
Rank = 29

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 121
Rank = 35

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 102
Rank = 31

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 64
Rank = 23

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 68
Rank = 24

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 70
Rank = 24

For Mu ( 3 , 2 , 0 , 2 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 4 , 5 , 4 , 3 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 12
Rank = 7

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 38
Rank = 16

For Mu ( 2 , 0 , 2 , 3 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 3 , 4 , 5 , 4 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 10

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 36
Rank = 14

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 2 , 3 , 1 , 1 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 4 , 6 , 5 , 3 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 1 , 1 , 3 , 2 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 3 , 5 , 6 , 4 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 5

For Mu ( 2 , 2 , 2 , 2 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 4 , 6 , 6 , 4 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 0 , 2 , 3 , 3 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 3 , 6 , 7 , 5 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 1 , 3 , 2 , 3 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 4 , 7 , 7 , 5 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 5 , 0 , 0 , 0 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 4 , 3 , 2 , 1 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 26
Rank = 12

For Mu ( 0 , 0 , 0 , 5 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 1 , 2 , 3 , 4 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 48
Rank = 17

For Mu ( 0 , 5 , 0 , 0 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 3 , 6 , 4 , 2 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 18
Rank = 8

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 4

For Mu ( 0 , 0 , 5 , 0 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 2 , 4 , 6 , 3 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 12
Rank = 5

For Mu ( 3 , 1 , 0 , 5 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 4 , 5 , 5 , 5 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 1 , 5 , 0 , 1 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 4 , 7 , 5 , 3 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 1 , 0 , 5 , 1 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 3 , 5 , 7 , 4 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 1 , 0 , 0 , 6 ) and Lambda ( 1 , 3 , 2 , 3 )
That's Mu ( 2 , 3 , 4 , 5 ) and Lambda ( 4 , 7 , 7 , 5 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 12
Rank = 5

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +3 t^4 +2 t^6 )
Weyl(Mu, Lambda) = 296
Rank = 63

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 248
Rank = 56

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 176
Rank = 44

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 173
Rank = 45

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 102
Rank = 31

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 121
Rank = 35

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 92
Rank = 29

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 68
Rank = 24

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 64
Rank = 23

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 70
Rank = 24

For Mu ( 3 , 2 , 0 , 2 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 4 , 5 , 4 , 3 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 10

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 36
Rank = 14

For Mu ( 2 , 0 , 2 , 3 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 3 , 4 , 5 , 4 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 12
Rank = 7

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 38
Rank = 16

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 2 , 3 , 1 , 1 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 4 , 6 , 5 , 3 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 5

For Mu ( 1 , 1 , 3 , 2 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 3 , 5 , 6 , 4 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 2 , 2 , 2 , 2 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 4 , 6 , 6 , 4 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 3 , 3 , 2 , 0 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 5 , 7 , 6 , 3 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 3 , 2 , 3 , 1 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 5 , 7 , 7 , 4 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 5 , 0 , 0 , 0 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 4 , 3 , 2 , 1 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 48
Rank = 17

For Mu ( 0 , 0 , 0 , 5 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 1 , 2 , 3 , 4 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 26
Rank = 12

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 4

For Mu ( 0 , 5 , 0 , 0 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 3 , 6 , 4 , 2 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 12
Rank = 5

For Mu ( 0 , 0 , 5 , 0 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 2 , 4 , 6 , 3 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 18
Rank = 8

For Mu ( 5 , 0 , 1 , 3 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 5 , 5 , 5 , 4 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 1 , 5 , 0 , 1 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 4 , 7 , 5 , 3 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 1 , 0 , 5 , 1 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 3 , 5 , 7 , 4 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 6 , 0 , 0 , 1 ) and Lambda ( 3 , 2 , 3 , 1 )
That's Mu ( 5 , 4 , 3 , 2 ) and Lambda ( 5 , 7 , 7 , 4 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 12
Rank = 5

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +5 t^4 +4 t^6 +2 t^8 )
Weyl(Mu, Lambda) = 544
Rank = 149

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 466
Rank = 133

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 346
Rank = 103

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 346
Rank = 103

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 213
Rank = 71

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 258
Rank = 83

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 213
Rank = 71

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 159
Rank = 58

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 159
Rank = 58

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 168
Rank = 59

For Mu ( 3 , 2 , 0 , 2 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 5 , 4 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 52
Rank = 25

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 103
Rank = 41

For Mu ( 2 , 0 , 2 , 3 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 4 , 5 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 52
Rank = 25

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 103
Rank = 41

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 28
Rank = 16

For Mu ( 2 , 3 , 1 , 1 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 6 , 5 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 33
Rank = 17

For Mu ( 1 , 1 , 3 , 2 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 5 , 6 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 33
Rank = 17

For Mu ( 2 , 2 , 2 , 2 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 6 , 6 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 18
Rank = 11

For Mu ( 3 , 3 , 2 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 5 , 7 , 6 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 0 , 2 , 3 , 3 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 6 , 7 , 5 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 1 , 3 , 2 , 3 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 7 , 7 , 5 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 3 , 2 , 3 , 1 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 5 , 7 , 7 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 5 , 8 , 8 , 5 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 5 , 0 , 0 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 3 , 2 , 1 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 96
Rank = 40

For Mu ( 0 , 0 , 0 , 5 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 1 , 2 , 3 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 96
Rank = 40

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 18
Rank = 10

For Mu ( 0 , 5 , 0 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 6 , 4 , 2 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 54
Rank = 24

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 18
Rank = 10

For Mu ( 0 , 0 , 5 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 2 , 4 , 6 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 54
Rank = 24

For Mu ( 3 , 1 , 0 , 5 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 5 , 5 , 5 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 7

For Mu ( 5 , 0 , 1 , 3 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 5 , 5 , 5 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 7

For Mu ( 1 , 5 , 0 , 1 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 7 , 5 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 9

For Mu ( 1 , 0 , 5 , 1 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 5 , 7 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 9

For Mu ( 2 , 5 , 1 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 5 , 8 , 6 , 3 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 0 , 1 , 5 , 2 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 3 , 6 , 8 , 5 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 0 , 5 , 1 , 3 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 8 , 7 , 5 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 3 , 1 , 5 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 5 , 7 , 8 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 6 , 0 , 0 , 1 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 5 , 4 , 3 , 2 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 24
Rank = 13

For Mu ( 1 , 0 , 0 , 6 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 2 , 3 , 4 , 5 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 24
Rank = 13

For Mu ( 5 , 0 , 0 , 5 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 5 , 5 , 5 , 5 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 0 , 6 , 0 , 2 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 8 , 6 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 2

For Mu ( 2 , 0 , 6 , 0 ) and Lambda ( 2 , 3 , 3 , 2 )
That's Mu ( 4 , 6 , 8 , 4 ) and Lambda ( 5 , 8 , 8 , 5 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 2

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +5 t^2 +7 t^4 +6 t^6 +2 t^8 )
Weyl(Mu, Lambda) = 1136
Rank = 551

For Mu ( 1 , 0 , 0 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +5 t^2 +7 t^4 +6 t^6 +2 t^8 )
Weyl(Mu, Lambda) = 1000
Rank = 504

For Mu ( 2 , 0 , 1 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 2 , 2 , 2 , 1 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +5 t^2 +5 t^4 +2 t^6 )
Weyl(Mu, Lambda) = 784
Rank = 413

For Mu ( 0 , 1 , 0 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 1 , 2 , 2 , 2 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +5 t^2 +5 t^4 +2 t^6 )
Weyl(Mu, Lambda) = 784
Rank = 413

For Mu ( 3 , 1 , 0 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 3 , 2 , 1 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 +1 t^6 )
Weyl(Mu, Lambda) = 536
Rank = 296

For Mu ( 1 , 1 , 1 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +5 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 613
Rank = 338

For Mu ( 0 , 0 , 1 , 3 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 1 , 2 , 3 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 +1 t^6 )
Weyl(Mu, Lambda) = 536
Rank = 296

For Mu ( 2 , 2 , 0 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 4 , 3 , 2 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 416
Rank = 243

For Mu ( 1 , 0 , 2 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 2 , 3 , 4 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 416
Rank = 243

For Mu ( 0 , 2 , 2 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +5 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 424
Rank = 249

For Mu ( 3 , 2 , 0 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 5 , 4 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 180
Rank = 119

For Mu ( 1 , 3 , 1 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 5 , 4 , 2 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 284
Rank = 176

For Mu ( 2 , 0 , 2 , 3 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 4 , 5 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 180
Rank = 119

For Mu ( 0 , 1 , 3 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 2 , 4 , 5 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 284
Rank = 176

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 116
Rank = 83

For Mu ( 2 , 3 , 1 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 6 , 5 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 119
Rank = 84

For Mu ( 1 , 1 , 3 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 5 , 6 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 119
Rank = 84

For Mu ( 2 , 2 , 2 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 6 , 6 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 76
Rank = 57

For Mu ( 3 , 3 , 2 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 7 , 6 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 40
Rank = 32

For Mu ( 0 , 2 , 3 , 3 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 6 , 7 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 40
Rank = 32

For Mu ( 1 , 3 , 2 , 3 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 7 , 7 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 25
Rank = 21

For Mu ( 3 , 2 , 3 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 7 , 7 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 25
Rank = 21

For Mu ( 2 , 3 , 3 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 8 , 8 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 8
Rank = 7

For Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 6 , 9 , 9 , 6 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 5 , 0 , 0 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 3 , 2 , 1 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 304
Rank = 183

For Mu ( 0 , 0 , 0 , 5 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 1 , 2 , 3 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 304
Rank = 183

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 96
Rank = 68

For Mu ( 0 , 5 , 0 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 6 , 4 , 2 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 164
Rank = 108

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 96
Rank = 68

For Mu ( 0 , 0 , 5 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 2 , 4 , 6 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 164
Rank = 108

For Mu ( 3 , 1 , 0 , 5 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 5 , 5 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 62
Rank = 48

For Mu ( 5 , 0 , 1 , 3 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 5 , 5 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 62
Rank = 48

For Mu ( 1 , 5 , 0 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 7 , 5 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 64
Rank = 47

For Mu ( 1 , 0 , 5 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 5 , 7 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 64
Rank = 47

For Mu ( 2 , 5 , 1 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 8 , 6 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 16

For Mu ( 5 , 2 , 2 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 6 , 7 , 6 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 14

For Mu ( 0 , 1 , 5 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 6 , 8 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 16

For Mu ( 0 , 2 , 2 , 5 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 6 , 7 , 6 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 14

For Mu ( 0 , 5 , 1 , 3 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 8 , 7 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 10
Rank = 9

For Mu ( 1 , 3 , 1 , 5 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 7 , 7 , 6 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 9

For Mu ( 3 , 1 , 5 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 7 , 8 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 10
Rank = 9

For Mu ( 5 , 1 , 3 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 6 , 7 , 7 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 9

For Mu ( 1 , 5 , 2 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 9 , 8 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 2

For Mu ( 2 , 2 , 5 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 8 , 9 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 2

For Mu ( 6 , 0 , 0 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 4 , 3 , 2 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 124
Rank = 84

For Mu ( 1 , 0 , 0 , 6 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 2 , 3 , 4 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 124
Rank = 84

For Mu ( 6 , 1 , 1 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 6 , 6 , 5 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 25
Rank = 20

For Mu ( 1 , 1 , 1 , 6 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 5 , 6 , 6 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 25
Rank = 20

For Mu ( 5 , 0 , 0 , 5 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 5 , 5 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 34
Rank = 27

For Mu ( 2 , 2 , 0 , 6 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 6 , 6 , 6 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 14

For Mu ( 6 , 0 , 2 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 6 , 6 , 6 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 14

For Mu ( 0 , 6 , 0 , 2 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 8 , 6 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 16
Rank = 14

For Mu ( 2 , 0 , 6 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 6 , 8 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 16
Rank = 14

For Mu ( 1 , 6 , 1 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 5 , 9 , 7 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 3
Rank = 3

For Mu ( 3 , 6 , 0 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 6 , 9 , 6 , 3 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 1 , 1 , 6 , 1 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 7 , 9 , 5 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 3
Rank = 3

For Mu ( 0 , 0 , 6 , 3 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 3 , 6 , 9 , 6 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 0 , 5 , 0 , 5 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 4 , 8 , 7 , 6 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 4
Rank = 4

For Mu ( 5 , 0 , 5 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 6 , 7 , 8 , 4 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 4
Rank = 4

For Mu ( 7 , 0 , 1 , 0 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 6 , 5 , 4 , 2 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 32
Rank = 25

For Mu ( 0 , 1 , 0 , 7 ) and Lambda ( 3 , 3 , 3 , 3 )
That's Mu ( 2 , 4 , 5 , 6 ) and Lambda ( 6 , 9 , 9 , 6 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 32
Rank = 25