Products of the Fundamental basis of SSym

Products of total degree 2

Degree 1 by degree 1:

F₁ · F₁ =

F₁₂ + F₂₁.

Products of total degree 3

Degree 1 by degree 2:

F₁ · F₁₂ =	F₁₂₃ + F₂₁₃ + F₂₃₁.
F₁ · F₂₁ =	F₁₃₂ + F₃₁₂ + F₃₂₁.

Degree 2 by degree 1:

F₁₂ · F₁ =	F₁₂₃ + F₁₃₂ + F₃₁₂.
F₂₁ · F₁ =	F₂₁₃ + F₂₃₁ + F₃₂₁.

Products of total degree 4

Degree 1 by degree 3:

F₁ · F₁₂₃ =	F₁₂₃₄ + F₂₁₃₄ + F₂₃₁₄ + F₂₃₄₁.
F₁ · F₁₃₂ =	F₁₂₄₃ + F₂₁₄₃ + F₂₄₁₃ + F₂₄₃₁.
F₁ · F₂₁₃ =	F₁₃₂₄ + F₃₁₂₄ + F₃₂₁₄ + F₃₂₄₁.
F₁ · F₂₃₁ =	F₁₃₄₂ + F₃₁₄₂ + F₃₄₁₂ + F₃₄₂₁.
F₁ · F₃₁₂ =	F₁₄₂₃ + F₄₁₂₃ + F₄₂₁₃ + F₄₂₃₁.
F₁ · F₃₂₁ =	F₁₄₃₂ + F₄₁₃₂ + F₄₃₁₂ + F₄₃₂₁.

Degree 2 by degree 2:

F₁₂ · F₁₂ =	F₁₂₃₄ + F₁₃₂₄ + F₁₃₄₂ + F₃₁₂₄ + F₃₁₄₂ + F₃₄₁₂.
F₁₂ · F₂₁ =	F₁₂₄₃ + F₁₄₂₃ + F₁₄₃₂ + F₄₁₂₃ + F₄₁₃₂ + F₄₃₁₂.
F₂₁ · F₁₂ =	F₂₁₃₄ + F₂₃₁₄ + F₂₃₄₁ + F₃₂₁₄ + F₃₂₄₁ + F₃₄₂₁.
F₂₁ · F₂₁ =	F₂₁₄₃ + F₂₄₁₃ + F₂₄₃₁ + F₄₂₁₃ + F₄₂₃₁ + F₄₃₂₁.

Degree 3 by degree 1:

F₁₂₃ · F₁ =	F₁₂₃₄ + F₁₂₄₃ + F₁₄₂₃ + F₄₁₂₃.
F₁₃₂ · F₁ =	F₁₃₂₄ + F₁₃₄₂ + F₁₄₃₂ + F₄₁₃₂.
F₂₁₃ · F₁ =	F₂₁₃₄ + F₂₁₄₃ + F₂₄₁₃ + F₄₂₁₃.
F₂₃₁ · F₁ =	F₂₃₁₄ + F₂₃₄₁ + F₂₄₃₁ + F₄₂₃₁.
F₃₁₂ · F₁ =	F₃₁₂₄ + F₃₁₄₂ + F₃₄₁₂ + F₄₃₁₂.
F₃₂₁ · F₁ =	F₃₂₁₄ + F₃₂₄₁ + F₃₄₂₁ + F₄₃₂₁.

Products of total degree 5

Degree 1 by degree 4:

F₁ · F₁₂₃₄ =	F₁₂₃₄₅ + F₂₁₃₄₅ + F₂₃₁₄₅ + F₂₃₄₁₅ + F₂₃₄₅₁.
F₁ · F₁₂₄₃ =	F₁₂₃₅₄ + F₂₁₃₅₄ + F₂₃₁₅₄ + F₂₃₅₁₄ + F₂₃₅₄₁.
F₁ · F₁₃₂₄ =	F₁₂₄₃₅ + F₂₁₄₃₅ + F₂₄₁₃₅ + F₂₄₃₁₅ + F₂₄₃₅₁.
F₁ · F₁₃₄₂ =	F₁₂₄₅₃ + F₂₁₄₅₃ + F₂₄₁₅₃ + F₂₄₅₁₃ + F₂₄₅₃₁.
F₁ · F₁₄₂₃ =	F₁₂₅₃₄ + F₂₁₅₃₄ + F₂₅₁₃₄ + F₂₅₃₁₄ + F₂₅₃₄₁.
F₁ · F₁₄₃₂ =	F₁₂₅₄₃ + F₂₁₅₄₃ + F₂₅₁₄₃ + F₂₅₄₁₃ + F₂₅₄₃₁.
F₁ · F₂₁₃₄ =	F₁₃₂₄₅ + F₃₁₂₄₅ + F₃₂₁₄₅ + F₃₂₄₁₅ + F₃₂₄₅₁.
F₁ · F₂₁₄₃ =	F₁₃₂₅₄ + F₃₁₂₅₄ + F₃₂₁₅₄ + F₃₂₅₁₄ + F₃₂₅₄₁.
F₁ · F₂₃₁₄ =	F₁₃₄₂₅ + F₃₁₄₂₅ + F₃₄₁₂₅ + F₃₄₂₁₅ + F₃₄₂₅₁.
F₁ · F₂₃₄₁ =	F₁₃₄₅₂ + F₃₁₄₅₂ + F₃₄₁₅₂ + F₃₄₅₁₂ + F₃₄₅₂₁.
F₁ · F₂₄₁₃ =	F₁₃₅₂₄ + F₃₁₅₂₄ + F₃₅₁₂₄ + F₃₅₂₁₄ + F₃₅₂₄₁.
F₁ · F₂₄₃₁ =	F₁₃₅₄₂ + F₃₁₅₄₂ + F₃₅₁₄₂ + F₃₅₄₁₂ + F₃₅₄₂₁.
F₁ · F₃₁₂₄ =	F₁₄₂₃₅ + F₄₁₂₃₅ + F₄₂₁₃₅ + F₄₂₃₁₅ + F₄₂₃₅₁.
F₁ · F₃₁₄₂ =	F₁₄₂₅₃ + F₄₁₂₅₃ + F₄₂₁₅₃ + F₄₂₅₁₃ + F₄₂₅₃₁.
F₁ · F₃₂₁₄ =	F₁₄₃₂₅ + F₄₁₃₂₅ + F₄₃₁₂₅ + F₄₃₂₁₅ + F₄₃₂₅₁.
F₁ · F₃₂₄₁ =	F₁₄₃₅₂ + F₄₁₃₅₂ + F₄₃₁₅₂ + F₄₃₅₁₂ + F₄₃₅₂₁.
F₁ · F₃₄₁₂ =	F₁₄₅₂₃ + F₄₁₅₂₃ + F₄₅₁₂₃ + F₄₅₂₁₃ + F₄₅₂₃₁.
F₁ · F₃₄₂₁ =	F₁₄₅₃₂ + F₄₁₅₃₂ + F₄₅₁₃₂ + F₄₅₃₁₂ + F₄₅₃₂₁.
F₁ · F₄₁₂₃ =	F₁₅₂₃₄ + F₅₁₂₃₄ + F₅₂₁₃₄ + F₅₂₃₁₄ + F₅₂₃₄₁.
F₁ · F₄₁₃₂ =	F₁₅₂₄₃ + F₅₁₂₄₃ + F₅₂₁₄₃ + F₅₂₄₁₃ + F₅₂₄₃₁.
F₁ · F₄₂₁₃ =	F₁₅₃₂₄ + F₅₁₃₂₄ + F₅₃₁₂₄ + F₅₃₂₁₄ + F₅₃₂₄₁.
F₁ · F₄₂₃₁ =	F₁₅₃₄₂ + F₅₁₃₄₂ + F₅₃₁₄₂ + F₅₃₄₁₂ + F₅₃₄₂₁.
F₁ · F₄₃₁₂ =	F₁₅₄₂₃ + F₅₁₄₂₃ + F₅₄₁₂₃ + F₅₄₂₁₃ + F₅₄₂₃₁.
F₁ · F₄₃₂₁ =	F₁₅₄₃₂ + F₅₁₄₃₂ + F₅₄₁₃₂ + F₅₄₃₁₂ + F₅₄₃₂₁.

Degree 2 by degree 3:

F₁₂ · F₁₂₃ =	F₁₂₃₄₅ + F₁₃₂₄₅ + F₁₃₄₂₅ + F₃₁₂₄₅ + F₁₃₄₅₂ + F₃₁₄₂₅ + F₃₁₄₅₂ + F₃₄₁₂₅ + F₃₄₁₅₂ + F₃₄₅₁₂.
F₁₂ · F₁₃₂ =	F₁₂₃₅₄ + F₁₃₂₅₄ + F₁₃₅₂₄ + F₃₁₂₅₄ + F₁₃₅₄₂ + F₃₁₅₂₄ + F₃₁₅₄₂ + F₃₅₁₂₄ + F₃₅₁₄₂ + F₃₅₄₁₂.
F₁₂ · F₂₁₃ =	F₁₂₄₃₅ + F₁₄₂₃₅ + F₁₄₃₂₅ + F₄₁₂₃₅ + F₁₄₃₅₂ + F₄₁₃₂₅ + F₄₁₃₅₂ + F₄₃₁₂₅ + F₄₃₁₅₂ + F₄₃₅₁₂.
F₁₂ · F₂₃₁ =	F₁₂₄₅₃ + F₁₄₂₅₃ + F₁₄₅₂₃ + F₄₁₂₅₃ + F₁₄₅₃₂ + F₄₁₅₂₃ + F₄₁₅₃₂ + F₄₅₁₂₃ + F₄₅₁₃₂ + F₄₅₃₁₂.
F₁₂ · F₃₁₂ =	F₁₂₅₃₄ + F₁₅₂₃₄ + F₁₅₃₂₄ + F₅₁₂₃₄ + F₁₅₃₄₂ + F₅₁₃₂₄ + F₅₁₃₄₂ + F₅₃₁₂₄ + F₅₃₁₄₂ + F₅₃₄₁₂.
F₁₂ · F₃₂₁ =	F₁₂₅₄₃ + F₁₅₂₄₃ + F₁₅₄₂₃ + F₅₁₂₄₃ + F₁₅₄₃₂ + F₅₁₄₂₃ + F₅₁₄₃₂ + F₅₄₁₂₃ + F₅₄₁₃₂ + F₅₄₃₁₂.
F₂₁ · F₁₂₃ =	F₂₁₃₄₅ + F₂₃₁₄₅ + F₂₃₄₁₅ + F₃₂₁₄₅ + F₂₃₄₅₁ + F₃₂₄₁₅ + F₃₂₄₅₁ + F₃₄₂₁₅ + F₃₄₂₅₁ + F₃₄₅₂₁.
F₂₁ · F₁₃₂ =	F₂₁₃₅₄ + F₂₃₁₅₄ + F₂₃₅₁₄ + F₃₂₁₅₄ + F₂₃₅₄₁ + F₃₂₅₁₄ + F₃₂₅₄₁ + F₃₅₂₁₄ + F₃₅₂₄₁ + F₃₅₄₂₁.
F₂₁ · F₂₁₃ =	F₂₁₄₃₅ + F₂₄₁₃₅ + F₂₄₃₁₅ + F₄₂₁₃₅ + F₂₄₃₅₁ + F₄₂₃₁₅ + F₄₂₃₅₁ + F₄₃₂₁₅ + F₄₃₂₅₁ + F₄₃₅₂₁.
F₂₁ · F₂₃₁ =	F₂₁₄₅₃ + F₂₄₁₅₃ + F₂₄₅₁₃ + F₄₂₁₅₃ + F₂₄₅₃₁ + F₄₂₅₁₃ + F₄₂₅₃₁ + F₄₅₂₁₃ + F₄₅₂₃₁ + F₄₅₃₂₁.
F₂₁ · F₃₁₂ =	F₂₁₅₃₄ + F₂₅₁₃₄ + F₂₅₃₁₄ + F₅₂₁₃₄ + F₂₅₃₄₁ + F₅₂₃₁₄ + F₅₂₃₄₁ + F₅₃₂₁₄ + F₅₃₂₄₁ + F₅₃₄₂₁.
F₂₁ · F₃₂₁ =	F₂₁₅₄₃ + F₂₅₁₄₃ + F₂₅₄₁₃ + F₅₂₁₄₃ + F₂₅₄₃₁ + F₅₂₄₁₃ + F₅₂₄₃₁ + F₅₄₂₁₃ + F₅₄₂₃₁ + F₅₄₃₂₁.

Degree 3 by degree 2:

F₁₂₃ · F₁₂ =	F₁₂₃₄₅ + F₁₂₄₃₅ + F₁₂₄₅₃ + F₁₄₂₃₅ + F₁₄₂₅₃ + F₄₁₂₃₅ + F₁₄₅₂₃ + F₄₁₂₅₃ + F₄₁₅₂₃ + F₄₅₁₂₃.
F₁₂₃ · F₂₁ =	F₁₂₃₅₄ + F₁₂₅₃₄ + F₁₂₅₄₃ + F₁₅₂₃₄ + F₁₅₂₄₃ + F₅₁₂₃₄ + F₁₅₄₂₃ + F₅₁₂₄₃ + F₅₁₄₂₃ + F₅₄₁₂₃.
F₁₃₂ · F₁₂ =	F₁₃₂₄₅ + F₁₃₄₂₅ + F₁₃₄₅₂ + F₁₄₃₂₅ + F₁₄₃₅₂ + F₄₁₃₂₅ + F₁₄₅₃₂ + F₄₁₃₅₂ + F₄₁₅₃₂ + F₄₅₁₃₂.
F₁₃₂ · F₂₁ =	F₁₃₂₅₄ + F₁₃₅₂₄ + F₁₃₅₄₂ + F₁₅₃₂₄ + F₁₅₃₄₂ + F₅₁₃₂₄ + F₁₅₄₃₂ + F₅₁₃₄₂ + F₅₁₄₃₂ + F₅₄₁₃₂.
F₂₁₃ · F₁₂ =	F₂₁₃₄₅ + F₂₁₄₃₅ + F₂₁₄₅₃ + F₂₄₁₃₅ + F₂₄₁₅₃ + F₄₂₁₃₅ + F₂₄₅₁₃ + F₄₂₁₅₃ + F₄₂₅₁₃ + F₄₅₂₁₃.
F₂₁₃ · F₂₁ =	F₂₁₃₅₄ + F₂₁₅₃₄ + F₂₁₅₄₃ + F₂₅₁₃₄ + F₂₅₁₄₃ + F₅₂₁₃₄ + F₂₅₄₁₃ + F₅₂₁₄₃ + F₅₂₄₁₃ + F₅₄₂₁₃.
F₂₃₁ · F₁₂ =	F₂₃₁₄₅ + F₂₃₄₁₅ + F₂₃₄₅₁ + F₂₄₃₁₅ + F₂₄₃₅₁ + F₄₂₃₁₅ + F₂₄₅₃₁ + F₄₂₃₅₁ + F₄₂₅₃₁ + F₄₅₂₃₁.
F₂₃₁ · F₂₁ =	F₂₃₁₅₄ + F₂₃₅₁₄ + F₂₃₅₄₁ + F₂₅₃₁₄ + F₂₅₃₄₁ + F₅₂₃₁₄ + F₂₅₄₃₁ + F₅₂₃₄₁ + F₅₂₄₃₁ + F₅₄₂₃₁.
F₃₁₂ · F₁₂ =	F₃₁₂₄₅ + F₃₁₄₂₅ + F₃₁₄₅₂ + F₃₄₁₂₅ + F₃₄₁₅₂ + F₄₃₁₂₅ + F₃₄₅₁₂ + F₄₃₁₅₂ + F₄₃₅₁₂ + F₄₅₃₁₂.
F₃₁₂ · F₂₁ =	F₃₁₂₅₄ + F₃₁₅₂₄ + F₃₁₅₄₂ + F₃₅₁₂₄ + F₃₅₁₄₂ + F₅₃₁₂₄ + F₃₅₄₁₂ + F₅₃₁₄₂ + F₅₃₄₁₂ + F₅₄₃₁₂.
F₃₂₁ · F₁₂ =	F₃₂₁₄₅ + F₃₂₄₁₅ + F₃₂₄₅₁ + F₃₄₂₁₅ + F₃₄₂₅₁ + F₄₃₂₁₅ + F₃₄₅₂₁ + F₄₃₂₅₁ + F₄₃₅₂₁ + F₄₅₃₂₁.
F₃₂₁ · F₂₁ =	F₃₂₁₅₄ + F₃₂₅₁₄ + F₃₂₅₄₁ + F₃₅₂₁₄ + F₃₅₂₄₁ + F₅₃₂₁₄ + F₃₅₄₂₁ + F₅₃₂₄₁ + F₅₃₄₂₁ + F₅₄₃₂₁.

Degree 4 by degree 1:

F₁₂₃₄ · F₁ =	F₁₂₃₄₅ + F₁₂₃₅₄ + F₁₂₅₃₄ + F₁₅₂₃₄ + F₅₁₂₃₄.
F₁₂₄₃ · F₁ =	F₁₂₄₃₅ + F₁₂₄₅₃ + F₁₂₅₄₃ + F₁₅₂₄₃ + F₅₁₂₄₃.
F₁₃₂₄ · F₁ =	F₁₃₂₄₅ + F₁₃₂₅₄ + F₁₃₅₂₄ + F₁₅₃₂₄ + F₅₁₃₂₄.
F₁₃₄₂ · F₁ =	F₁₃₄₂₅ + F₁₃₄₅₂ + F₁₃₅₄₂ + F₁₅₃₄₂ + F₅₁₃₄₂.
F₁₄₂₃ · F₁ =	F₁₄₂₃₅ + F₁₄₂₅₃ + F₁₄₅₂₃ + F₁₅₄₂₃ + F₅₁₄₂₃.
F₁₄₃₂ · F₁ =	F₁₄₃₂₅ + F₁₄₃₅₂ + F₁₄₅₃₂ + F₁₅₄₃₂ + F₅₁₄₃₂.
F₂₁₃₄ · F₁ =	F₂₁₃₄₅ + F₂₁₃₅₄ + F₂₁₅₃₄ + F₂₅₁₃₄ + F₅₂₁₃₄.
F₂₁₄₃ · F₁ =	F₂₁₄₃₅ + F₂₁₄₅₃ + F₂₁₅₄₃ + F₂₅₁₄₃ + F₅₂₁₄₃.
F₂₃₁₄ · F₁ =	F₂₃₁₄₅ + F₂₃₁₅₄ + F₂₃₅₁₄ + F₂₅₃₁₄ + F₅₂₃₁₄.
F₂₃₄₁ · F₁ =	F₂₃₄₁₅ + F₂₃₄₅₁ + F₂₃₅₄₁ + F₂₅₃₄₁ + F₅₂₃₄₁.
F₂₄₁₃ · F₁ =	F₂₄₁₃₅ + F₂₄₁₅₃ + F₂₄₅₁₃ + F₂₅₄₁₃ + F₅₂₄₁₃.
F₂₄₃₁ · F₁ =	F₂₄₃₁₅ + F₂₄₃₅₁ + F₂₄₅₃₁ + F₂₅₄₃₁ + F₅₂₄₃₁.
F₃₁₂₄ · F₁ =	F₃₁₂₄₅ + F₃₁₂₅₄ + F₃₁₅₂₄ + F₃₅₁₂₄ + F₅₃₁₂₄.
F₃₁₄₂ · F₁ =	F₃₁₄₂₅ + F₃₁₄₅₂ + F₃₁₅₄₂ + F₃₅₁₄₂ + F₅₃₁₄₂.
F₃₂₁₄ · F₁ =	F₃₂₁₄₅ + F₃₂₁₅₄ + F₃₂₅₁₄ + F₃₅₂₁₄ + F₅₃₂₁₄.
F₃₂₄₁ · F₁ =	F₃₂₄₁₅ + F₃₂₄₅₁ + F₃₂₅₄₁ + F₃₅₂₄₁ + F₅₃₂₄₁.
F₃₄₁₂ · F₁ =	F₃₄₁₂₅ + F₃₄₁₅₂ + F₃₄₅₁₂ + F₃₅₄₁₂ + F₅₃₄₁₂.
F₃₄₂₁ · F₁ =	F₃₄₂₁₅ + F₃₄₂₅₁ + F₃₄₅₂₁ + F₃₅₄₂₁ + F₅₃₄₂₁.
F₄₁₂₃ · F₁ =	F₄₁₂₃₅ + F₄₁₂₅₃ + F₄₁₅₂₃ + F₄₅₁₂₃ + F₅₄₁₂₃.
F₄₁₃₂ · F₁ =	F₄₁₃₂₅ + F₄₁₃₅₂ + F₄₁₅₃₂ + F₄₅₁₃₂ + F₅₄₁₃₂.
F₄₂₁₃ · F₁ =	F₄₂₁₃₅ + F₄₂₁₅₃ + F₄₂₅₁₃ + F₄₅₂₁₃ + F₅₄₂₁₃.
F₄₂₃₁ · F₁ =	F₄₂₃₁₅ + F₄₂₃₅₁ + F₄₂₅₃₁ + F₄₅₂₃₁ + F₅₄₂₃₁.
F₄₃₁₂ · F₁ =	F₄₃₁₂₅ + F₄₃₁₅₂ + F₄₃₅₁₂ + F₄₅₃₁₂ + F₅₄₃₁₂.
F₄₃₂₁ · F₁ =	F₄₃₂₁₅ + F₄₃₂₅₁ + F₄₃₅₂₁ + F₄₅₃₂₁ + F₅₄₃₂₁.

Created 5 August 2002