Joseph Moore McConnell and David Meade Bernard Professor Emeritus in the Mathematics Department of the University of Virginia

p=7 answers predicted by Kazhdan-Lusztig polynomials, and further data

p=7 answers predicted by Kazhdan-Lusztig polynomials, and further data

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 ( 3 , 0 , 0 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 3 , 3 , 3 ) in Root notation.
l(Lambda) = 1;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 19

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 3 , 0 , 0 , 3 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 3 , 3 , 3 , 3 ) 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 ( 4 , 0 , 1 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 4 , 4 , 3 ) in Root notation.
l(Lambda) = 2;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 45
Rank = 26

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

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 4 , 0 , 1 , 2 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 4 , 4 , 4 , 3 ) 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 ( 2 , 1 , 0 , 4 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 4 , 4 , 4 ) in Root notation.
l(Lambda) = 2;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 45
Rank = 26

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

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 2 , 1 , 0 , 4 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 3 , 4 , 4 , 4 ) 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 ( 5 , 1 , 0 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 5 , 5 , 4 , 3 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 36
Rank = 10

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

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

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 5 , 1 , 0 , 2 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 5 , 5 , 4 , 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 ( 3 , 1 , 1 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 5 , 5 , 4 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 136
Rank = 64

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

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

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

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) = 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 , 0 , 1 , 5 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 4 , 5 , 5 ) in Root notation.
l(Lambda) = 3;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 36
Rank = 10

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

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

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 2 , 0 , 1 , 5 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 3 , 4 , 5 , 5 ) 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 ( 4 , 2 , 0 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 5 , 6 , 5 , 4 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 110
Rank = 10

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

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

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

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

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

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 4 , 2 , 0 , 3 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 5 , 6 , 5 , 4 ) 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 , 0 , 2 , 4 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 5 , 6 , 5 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 110
Rank = 10

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

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

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

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

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

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 3 , 0 , 2 , 4 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 4 , 5 , 6 , 5 ) 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 , 4 , 4 , 0 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 8 , 8 , 4 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 85
Rank = 20

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 0 , 4 , 4 , 0 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 4 , 8 , 8 , 4 ) in Root notation.
l(Lambda) = 4;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 11

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

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

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

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 0 , 4 , 4 , 0 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 4 , 8 , 8 , 4 ) 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 ( 5 , 2 , 0 , 4 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 6 , 7 , 6 , 5 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 195
Rank = 74

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

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 5 , 2 , 0 , 4 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 6 , 7 , 6 , 5 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 12

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

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

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

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

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

For Mu ( 7 , 0 , 0 , 2 ) and Lambda ( 5 , 2 , 0 , 4 )
That's Mu ( 6 , 5 , 4 , 3 ) and Lambda ( 6 , 7 , 6 , 5 ) 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 , 5 , 3 , 0 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 5 , 9 , 8 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 160
Rank = 40

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 1 , 5 , 3 , 0 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 5 , 9 , 8 , 4 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 44
Rank = 19

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

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

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

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

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

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

For Mu ( 1 , 5 , 3 , 0 ) and Lambda ( 1 , 5 , 3 , 0 )
That's Mu ( 5 , 9 , 8 , 4 ) and Lambda ( 5 , 9 , 8 , 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 , 0 , 0 , 0 ) and Lambda ( 4 , 0 , 2 , 5 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 5 , 6 , 7 , 6 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 195
Rank = 74

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

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

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

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 4 , 0 , 2 , 5 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 5 , 6 , 7 , 6 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 12

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

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

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

For Mu ( 2 , 0 , 0 , 7 ) and Lambda ( 4 , 0 , 2 , 5 )
That's Mu ( 3 , 4 , 5 , 6 ) and Lambda ( 5 , 6 , 7 , 6 ) 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 , 3 , 5 , 1 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 4 , 8 , 9 , 5 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 160
Rank = 40

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 0 , 3 , 5 , 1 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 4 , 8 , 9 , 5 ) in Root notation.
l(Lambda) = 5;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 44
Rank = 19

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

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

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

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

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

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

For Mu ( 0 , 3 , 5 , 1 ) and Lambda ( 0 , 3 , 5 , 1 )
That's Mu ( 4 , 8 , 9 , 5 ) and Lambda ( 4 , 8 , 9 , 5 ) 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 ( 5 , 1 , 1 , 5 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 6 , 7 , 7 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +1 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 400
Rank = 96

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 5 , 1 , 1 , 5 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 6 , 7 , 7 , 6 ) 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 ( 4 , 0 , 1 , 2 ) and Lambda ( 5 , 1 , 1 , 5 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 6 , 7 , 7 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 56
Rank = 19

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 5 , 1 , 1 , 5 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 6 , 7 , 7 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 56
Rank = 19

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 5 , 1 , 1 , 5 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 6 , 7 , 7 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 26
Rank = 9

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 5 , 1 , 1 , 5 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 6 , 7 , 7 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 29
Rank = 10

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 5 , 1 , 1 , 5 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 6 , 7 , 7 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 26
Rank = 9

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

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

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

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

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

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

For Mu ( 2 , 0 , 0 , 7 ) and Lambda ( 5 , 1 , 1 , 5 )
That's Mu ( 3 , 4 , 5 , 6 ) and Lambda ( 6 , 7 , 7 , 6 ) 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 , 5 , 3 , 1 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 600
Rank = 260

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 210
Rank = 116

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 132
Rank = 80

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 110
Rank = 64

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 62
Rank = 43

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 72
Rank = 46

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 30
Rank = 19

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 36
Rank = 27

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 14

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 11

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

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

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

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

For Mu ( 7 , 0 , 0 , 2 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 6 , 5 , 4 , 3 ) and Lambda ( 6 , 10 , 9 , 5 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 18
Rank = 13

For Mu ( 0 , 7 , 2 , 0 ) and Lambda ( 2 , 5 , 3 , 1 )
That's Mu ( 5 , 10 , 8 , 4 ) and Lambda ( 6 , 10 , 9 , 5 ) 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 , 3 , 5 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 600
Rank = 260

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 210
Rank = 116

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 110
Rank = 64

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 132
Rank = 80

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 30
Rank = 19

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 72
Rank = 46

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 62
Rank = 43

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 14

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 36
Rank = 27

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 11

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

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

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

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

For Mu ( 2 , 0 , 0 , 7 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 3 , 4 , 5 , 6 ) and Lambda ( 5 , 9 , 10 , 6 ) in Root notation.
l(Lambda) = 6;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 18
Rank = 13

For Mu ( 0 , 2 , 7 , 0 ) and Lambda ( 1 , 3 , 5 , 2 )
That's Mu ( 4 , 8 , 10 , 5 ) and Lambda ( 5 , 9 , 10 , 6 ) 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 , 4 , 4 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 0
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 1130
Rank = 90

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 428
Rank = 45

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 261
Rank = 34

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 261
Rank = 34

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 117
Rank = 23

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 162
Rank = 26

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 117
Rank = 23

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 73
Rank = 17

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 73
Rank = 17

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 35
Rank = 10

For Mu ( 5 , 2 , 0 , 4 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 6 , 7 , 6 , 5 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 11
Rank = 6

For Mu ( 1 , 5 , 3 , 0 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 5 , 9 , 8 , 4 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 4

For Mu ( 4 , 0 , 2 , 5 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 5 , 6 , 7 , 6 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 11
Rank = 6

For Mu ( 0 , 3 , 5 , 1 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 4 , 8 , 9 , 5 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 4

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

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

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

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

For Mu ( 7 , 0 , 0 , 2 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 6 , 5 , 4 , 3 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 33
Rank = 11

For Mu ( 2 , 0 , 0 , 7 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 3 , 4 , 5 , 6 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 33
Rank = 11

For Mu ( 0 , 7 , 2 , 0 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 5 , 10 , 8 , 4 ) and Lambda ( 6 , 10 , 10 , 6 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 3
Rank = 1

For Mu ( 0 , 2 , 7 , 0 ) and Lambda ( 2 , 4 , 4 , 2 )
That's Mu ( 4 , 8 , 10 , 5 ) and Lambda ( 6 , 10 , 10 , 6 ) 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 , 5 , 4 , 0 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 7 , 11 , 10 , 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) = 540
Rank = 110

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 225
Rank = 60

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 156
Rank = 47

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 134
Rank = 43

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 91
Rank = 34

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 95
Rank = 34

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 52
Rank = 23

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 57
Rank = 25

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 38
Rank = 18

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 24
Rank = 12

For Mu ( 5 , 2 , 0 , 4 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 6 , 7 , 6 , 5 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 13
Rank = 9

For Mu ( 1 , 5 , 3 , 0 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 5 , 9 , 8 , 4 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 8

For Mu ( 0 , 3 , 5 , 1 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 4 , 8 , 9 , 5 ) and Lambda ( 7 , 11 , 10 , 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 , 5 , 3 , 1 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 6 , 10 , 9 , 5 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 3 , 5 , 4 , 0 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 7 , 11 , 10 , 5 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 7 , 0 , 0 , 2 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 6 , 5 , 4 , 3 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 42
Rank = 21

For Mu ( 7 , 1 , 0 , 4 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 7 , 7 , 6 , 5 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 4

For Mu ( 0 , 7 , 2 , 0 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 5 , 10 , 8 , 4 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 6
Rank = 4

For Mu ( 0 , 2 , 7 , 0 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 4 , 8 , 10 , 5 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 1 , 7 , 2 , 1 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 6 , 11 , 9 , 5 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 7
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 8 , 0 , 0 , 3 ) and Lambda ( 3 , 5 , 4 , 0 )
That's Mu ( 7 , 6 , 5 , 4 ) and Lambda ( 7 , 11 , 10 , 5 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 9
Rank = 7

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 5 , 10 , 11 , 7 ) 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) = 540
Rank = 110

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 225
Rank = 60

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 134
Rank = 43

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 156
Rank = 47

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 52
Rank = 23

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 95
Rank = 34

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 91
Rank = 34

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 38
Rank = 18

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 57
Rank = 25

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 24
Rank = 12

For Mu ( 1 , 5 , 3 , 0 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 5 , 9 , 8 , 4 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 7

For Mu ( 4 , 0 , 2 , 5 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 5 , 6 , 7 , 6 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 13
Rank = 9

For Mu ( 0 , 3 , 5 , 1 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 4 , 8 , 9 , 5 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 15
Rank = 8

For Mu ( 1 , 3 , 5 , 2 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 5 , 9 , 10 , 6 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 0 , 4 , 5 , 3 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 5 , 10 , 11 , 7 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 2 , 0 , 0 , 7 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 3 , 4 , 5 , 6 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 42
Rank = 21

For Mu ( 0 , 7 , 2 , 0 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 5 , 10 , 8 , 4 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 4 , 0 , 1 , 7 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 5 , 6 , 7 , 7 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 5
Rank = 4

For Mu ( 0 , 2 , 7 , 0 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 4 , 8 , 10 , 5 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 6
Rank = 4

For Mu ( 1 , 2 , 7 , 1 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 5 , 9 , 11 , 6 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 7
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 3 , 0 , 0 , 8 ) and Lambda ( 0 , 4 , 5 , 3 )
That's Mu ( 4 , 5 , 6 , 7 ) and Lambda ( 5 , 10 , 11 , 7 ) in Root notation.
l(Lambda) = 7;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 9
Rank = 7

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 6 , 11 , 11 , 7 ) 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) = 1340
Rank = 220

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 586
Rank = 120

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 385
Rank = 91

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 396
Rank = 94

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 196
Rank = 57

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 263
Rank = 71

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 222
Rank = 67

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 136
Rank = 45

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 148
Rank = 50

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 72
Rank = 26

For Mu ( 5 , 2 , 0 , 4 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 6 , 7 , 6 , 5 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 24
Rank = 13

For Mu ( 1 , 5 , 3 , 0 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 5 , 9 , 8 , 4 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 40
Rank = 17

For Mu ( 4 , 0 , 2 , 5 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 5 , 6 , 7 , 6 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 40
Rank = 20

For Mu ( 0 , 3 , 5 , 1 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 4 , 8 , 9 , 5 ) and Lambda ( 6 , 11 , 11 , 7 ) 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 ( 5 , 1 , 1 , 5 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 6 , 7 , 7 , 6 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 13
Rank = 9

For Mu ( 2 , 5 , 3 , 1 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 6 , 10 , 9 , 5 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 1 , 3 , 5 , 2 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 5 , 9 , 10 , 6 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 5

For Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 6 , 10 , 10 , 6 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 0 , 4 , 5 , 3 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 5 , 10 , 11 , 7 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

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

For Mu ( 7 , 0 , 0 , 2 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 6 , 5 , 4 , 3 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 54
Rank = 22

For Mu ( 2 , 0 , 0 , 7 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 3 , 4 , 5 , 6 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 100
Rank = 39

For Mu ( 0 , 7 , 2 , 0 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 5 , 10 , 8 , 4 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 8

For Mu ( 4 , 0 , 1 , 7 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 5 , 6 , 7 , 7 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 8

For Mu ( 0 , 2 , 7 , 0 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 4 , 8 , 10 , 5 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 12
Rank = 5

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

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

For Mu ( 1 , 2 , 7 , 1 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 5 , 9 , 11 , 6 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 1

For Mu ( 3 , 0 , 0 , 8 ) and Lambda ( 1 , 5 , 4 , 3 )
That's Mu ( 4 , 5 , 6 , 7 ) and Lambda ( 6 , 11 , 11 , 7 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 22
Rank = 11

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 7 , 11 , 11 , 6 ) 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) = 1340
Rank = 220

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 586
Rank = 120

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 396
Rank = 94

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 385
Rank = 91

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 222
Rank = 67

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 263
Rank = 71

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 196
Rank = 57

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 148
Rank = 50

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 136
Rank = 45

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 72
Rank = 26

For Mu ( 5 , 2 , 0 , 4 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 6 , 7 , 6 , 5 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 40
Rank = 20

For Mu ( 1 , 5 , 3 , 0 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 5 , 9 , 8 , 4 ) and Lambda ( 7 , 11 , 11 , 6 ) 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 ( 4 , 0 , 2 , 5 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 5 , 6 , 7 , 6 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 24
Rank = 13

For Mu ( 0 , 3 , 5 , 1 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 4 , 8 , 9 , 5 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 40
Rank = 17

For Mu ( 5 , 1 , 1 , 5 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 6 , 7 , 7 , 6 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 13
Rank = 9

For Mu ( 2 , 5 , 3 , 1 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 6 , 10 , 9 , 5 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 10
Rank = 5

For Mu ( 1 , 3 , 5 , 2 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 5 , 9 , 10 , 6 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 6 , 10 , 10 , 6 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 3 , 5 , 4 , 0 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 7 , 11 , 10 , 5 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 2
Rank = 1

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

For Mu ( 7 , 0 , 0 , 2 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 6 , 5 , 4 , 3 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 100
Rank = 39

For Mu ( 2 , 0 , 0 , 7 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 3 , 4 , 5 , 6 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 54
Rank = 22

For Mu ( 7 , 1 , 0 , 4 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 7 , 7 , 6 , 5 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 14
Rank = 8

For Mu ( 0 , 7 , 2 , 0 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 5 , 10 , 8 , 4 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 12
Rank = 5

For Mu ( 0 , 2 , 7 , 0 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 4 , 8 , 10 , 5 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 20
Rank = 8

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

For Mu ( 1 , 7 , 2 , 1 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 6 , 11 , 9 , 5 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 7
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 1

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

For Mu ( 8 , 0 , 0 , 3 ) and Lambda ( 3 , 4 , 5 , 1 )
That's Mu ( 7 , 6 , 5 , 4 ) and Lambda ( 7 , 11 , 11 , 6 ) in Root notation.
l(Lambda) = 8;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 22
Rank = 11

For Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 7 , 12 , 12 , 7 ) 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) = 2085
Rank = 425

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 1
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 1008
Rank = 233

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 712
Rank = 179

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 2
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 712
Rank = 179

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 423
Rank = 123

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 512
Rank = 141

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 423
Rank = 123

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 309
Rank = 98

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 309
Rank = 98

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 174
Rank = 59

For Mu ( 5 , 2 , 0 , 4 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 7 , 6 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 94
Rank = 41

For Mu ( 1 , 5 , 3 , 0 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 9 , 8 , 4 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 106
Rank = 41

For Mu ( 4 , 0 , 2 , 5 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 6 , 7 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 94
Rank = 41

For Mu ( 0 , 3 , 5 , 1 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 4 , 8 , 9 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 106
Rank = 41

For Mu ( 5 , 1 , 1 , 5 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 7 , 7 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 48
Rank = 26

For Mu ( 2 , 5 , 3 , 1 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 10 , 9 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 33
Rank = 17

For Mu ( 1 , 3 , 5 , 2 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 9 , 10 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 33
Rank = 17

For Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 10 , 10 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 18
Rank = 11

For Mu ( 3 , 5 , 4 , 0 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 7 , 11 , 10 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 0 , 4 , 5 , 3 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 10 , 11 , 7 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 7
Rank = 5

For Mu ( 1 , 5 , 4 , 3 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 11 , 11 , 7 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 3 , 4 , 5 , 1 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 7 , 11 , 11 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 4
Rank = 3

For Mu ( 2 , 5 , 5 , 2 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 7 , 12 , 12 , 7 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 7 , 0 , 0 , 2 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 5 , 4 , 3 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 186
Rank = 68

For Mu ( 2 , 0 , 0 , 7 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 3 , 4 , 5 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 186
Rank = 68

For Mu ( 7 , 1 , 0 , 4 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 7 , 7 , 6 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 30
Rank = 16

For Mu ( 0 , 7 , 2 , 0 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 10 , 8 , 4 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 57
Rank = 24

For Mu ( 4 , 0 , 1 , 7 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 6 , 7 , 7 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 30
Rank = 16

For Mu ( 0 , 2 , 7 , 0 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 4 , 8 , 10 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 57
Rank = 24

For Mu ( 5 , 1 , 0 , 7 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 7 , 7 , 7 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 11

For Mu ( 7 , 0 , 1 , 5 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 7 , 7 , 7 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 11

For Mu ( 1 , 7 , 2 , 1 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 11 , 9 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 9

For Mu ( 1 , 2 , 7 , 1 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 9 , 11 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 16
Rank = 9

For Mu ( 2 , 7 , 3 , 0 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 7 , 12 , 10 , 5 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 0 , 3 , 7 , 2 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 5 , 10 , 12 , 7 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 3
Rank = 2

For Mu ( 0 , 7 , 3 , 3 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 12 , 11 , 7 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 3 , 3 , 7 , 0 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 7 , 11 , 12 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 8 , 0 , 0 , 3 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 7 , 6 , 5 , 4 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 42
Rank = 21

For Mu ( 3 , 0 , 0 , 8 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 4 , 5 , 6 , 7 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 42
Rank = 21

For Mu ( 7 , 0 , 0 , 7 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 7 , 7 , 7 , 7 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 5

For Mu ( 0 , 8 , 2 , 2 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 12 , 10 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) in Root notation.
l(Lambda) = 9;  l(Mu) = 8
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 2
Rank = 2

For Mu ( 2 , 2 , 8 , 0 ) and Lambda ( 2 , 5 , 5 , 2 )
That's Mu ( 6 , 10 , 12 , 6 ) and Lambda ( 7 , 12 , 12 , 7 ) 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 ( 5 , 5 , 5 , 5 )
That's Mu ( 0 , 0 , 0 , 0 ) and Lambda ( 10 , 15 , 15 , 10 ) 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) = 12216
Rank = 9875

For Mu ( 3 , 0 , 0 , 3 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 3 , 3 , 3 , 3 ) and Lambda ( 10 , 15 , 15 , 10 ) 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) = 7608
Rank = 6398

For Mu ( 4 , 0 , 1 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 4 , 4 , 4 , 3 ) and Lambda ( 10 , 15 , 15 , 10 ) 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) = 6118
Rank = 5221

For Mu ( 2 , 1 , 0 , 4 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 3 , 4 , 4 , 4 ) and Lambda ( 10 , 15 , 15 , 10 ) 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) = 6118
Rank = 5221

For Mu ( 5 , 1 , 0 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 5 , 4 , 3 ) and Lambda ( 10 , 15 , 15 , 10 ) 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) = 4584
Rank = 3983

For Mu ( 3 , 1 , 1 , 3 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 4 , 5 , 5 , 4 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 3
P(Mu,Lambda) = ( +1 t^0 +5 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 4910
Rank = 4259

For Mu ( 2 , 0 , 1 , 5 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 3 , 4 , 5 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) 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) = 4584
Rank = 3983

For Mu ( 4 , 2 , 0 , 3 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 6 , 5 , 4 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 3666
Rank = 3246

For Mu ( 3 , 0 , 2 , 4 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 4 , 5 , 6 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 3666
Rank = 3246

For Mu ( 0 , 4 , 4 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 4 , 8 , 8 , 4 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +5 t^2 +3 t^4 )
Weyl(Mu, Lambda) = 2120
Rank = 1921

For Mu ( 5 , 2 , 0 , 4 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 7 , 6 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 1988
Rank = 1836

For Mu ( 1 , 5 , 3 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 9 , 8 , 4 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 1542
Rank = 1419

For Mu ( 4 , 0 , 2 , 5 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 6 , 7 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 1988
Rank = 1836

For Mu ( 0 , 3 , 5 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 4 , 8 , 9 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +4 t^2 +1 t^4 )
Weyl(Mu, Lambda) = 1542
Rank = 1419

For Mu ( 5 , 1 , 1 , 5 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 7 , 7 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 1449
Rank = 1370

For Mu ( 2 , 5 , 3 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 10 , 9 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 792
Rank = 753

For Mu ( 1 , 3 , 5 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 9 , 10 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 792
Rank = 753

For Mu ( 2 , 4 , 4 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 10 , 10 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 566
Rank = 547

For Mu ( 3 , 5 , 4 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 11 , 10 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 370
Rank = 360

For Mu ( 0 , 4 , 5 , 3 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 10 , 11 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 370
Rank = 360

For Mu ( 1 , 5 , 4 , 3 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 11 , 11 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 259
Rank = 255

For Mu ( 3 , 4 , 5 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 11 , 11 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 259
Rank = 255

For Mu ( 2 , 5 , 5 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 12 , 12 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 112
Rank = 111

For Mu ( 5 , 5 , 5 , 5 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 10 , 15 , 15 , 10 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 1
Rank = 1

For Mu ( 7 , 0 , 0 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 5 , 4 , 3 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 3156
Rank = 2806

For Mu ( 2 , 0 , 0 , 7 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 3 , 4 , 5 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 4
P(Mu,Lambda) = ( +1 t^0 +3 t^2 +2 t^4 )
Weyl(Mu, Lambda) = 3156
Rank = 2806

For Mu ( 7 , 1 , 0 , 4 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 7 , 6 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 1344
Rank = 1256

For Mu ( 0 , 7 , 2 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 10 , 8 , 4 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 1032
Rank = 964

For Mu ( 4 , 0 , 1 , 7 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 6 , 7 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 1344
Rank = 1256

For Mu ( 0 , 2 , 7 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 4 , 8 , 10 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 1032
Rank = 964

For Mu ( 5 , 1 , 0 , 7 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 7 , 7 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 980
Rank = 939

For Mu ( 7 , 0 , 1 , 5 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 7 , 7 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 980
Rank = 939

For Mu ( 1 , 7 , 2 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 11 , 9 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 506
Rank = 485

For Mu ( 1 , 2 , 7 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 9 , 11 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 506
Rank = 485

For Mu ( 2 , 7 , 3 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 12 , 10 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 224
Rank = 218

For Mu ( 9 , 2 , 4 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 10 , 11 , 10 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 50
Rank = 48

For Mu ( 0 , 3 , 7 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 10 , 12 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 224
Rank = 218

For Mu ( 0 , 4 , 2 , 9 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 10 , 11 , 10 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 50
Rank = 48

For Mu ( 0 , 7 , 3 , 3 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 12 , 11 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 148
Rank = 147

For Mu ( 1 , 5 , 1 , 9 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 11 , 11 , 10 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 35
Rank = 34

For Mu ( 3 , 3 , 7 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 11 , 12 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 148
Rank = 147

For Mu ( 9 , 1 , 5 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 10 , 11 , 11 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 35
Rank = 34

For Mu ( 1 , 7 , 4 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 13 , 12 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 56
Rank = 56

For Mu ( 2 , 4 , 7 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 12 , 13 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 56
Rank = 56

For Mu ( 8 , 0 , 0 , 3 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 6 , 5 , 4 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 1698
Rank = 1556

For Mu ( 3 , 0 , 0 , 8 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 4 , 5 , 6 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 5
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 1698
Rank = 1556

For Mu ( 10 , 1 , 3 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 10 , 10 , 9 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 70
Rank = 65

For Mu ( 1 , 3 , 1 , 10 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 9 , 10 , 10 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 7
P(Mu,Lambda) = ( +1 t^0 +1 t^2 )
Weyl(Mu, Lambda) = 70
Rank = 65

For Mu ( 7 , 0 , 0 , 7 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 7 , 7 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 666
Rank = 641

For Mu ( 2 , 4 , 0 , 10 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 10 , 10 , 10 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 50
Rank = 48

For Mu ( 10 , 0 , 4 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 10 , 10 , 10 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 50
Rank = 48

For Mu ( 0 , 8 , 2 , 2 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 12 , 10 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 204
Rank = 202

For Mu ( 2 , 2 , 8 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 10 , 12 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 8
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 204
Rank = 202

For Mu ( 1 , 8 , 3 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 13 , 11 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 77
Rank = 77

For Mu ( 5 , 10 , 0 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 10 , 15 , 10 , 5 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 5

For Mu ( 1 , 3 , 8 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 11 , 13 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 77
Rank = 77

For Mu ( 0 , 0 , 10 , 5 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 5 , 10 , 15 , 10 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 5

For Mu ( 0 , 7 , 0 , 9 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 12 , 11 , 10 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 20
Rank = 20

For Mu ( 9 , 0 , 7 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 10 , 11 , 12 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 20
Rank = 20

For Mu ( 0 , 8 , 5 , 1 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 14 , 13 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 11
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 14
Rank = 14

For Mu ( 1 , 5 , 8 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 13 , 14 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 11
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 14
Rank = 14

For Mu ( 11 , 0 , 3 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 10 , 9 , 8 , 4 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 88
Rank = 81

For Mu ( 0 , 3 , 0 , 11 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 4 , 8 , 9 , 10 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 6
P(Mu,Lambda) = ( +1 t^0 +2 t^2 )
Weyl(Mu, Lambda) = 88
Rank = 81

For Mu ( 10 , 0 , 0 , 10 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 10 , 10 , 10 , 10 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 9
P(Mu,Lambda) = ( +1 t^0 )
Weyl(Mu, Lambda) = 6
Rank = 5

For Mu ( 0 , 9 , 4 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 7 , 14 , 12 , 6 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 20
Rank = 20

For Mu ( 0 , 4 , 9 , 0 ) and Lambda ( 5 , 5 , 5 , 5 )
That's Mu ( 6 , 12 , 14 , 7 ) and Lambda ( 10 , 15 , 15 , 10 ) in Root notation.
l(Lambda) = 10;  l(Mu) = 10
P(Mu,Lambda) = ( )
Weyl(Mu, Lambda) = 20
Rank = 20