There are

(and possibly some waiting for verification)

**14 statistics**on**Decorated permutations**in the database:(and possibly some waiting for verification)

St001425Decorated permutations ⟶ ℤ

The number of negatively decorated fixed points of a decorated permutation.

St001426Decorated permutations ⟶ ℤ

The number of positively decorated fixed points of a decorated permutation.

St001538Decorated permutations ⟶ ℤ

Sum of decorated fixed points as signed integers.

St001539Decorated permutations ⟶ ℤ

Number of changes in decorated fixed points.

St001540Decorated permutations ⟶ ℤ

Difference in positively decorated fixed points and negatively decorated fixed points.

St001542Decorated permutations ⟶ ℤ

The dimension of the subspace of the complex vector space for the associated Grassmannian.

St001543Decorated permutations ⟶ ℤ

The largest step for the associated bounded affine permutation.

St001544Decorated permutations ⟶ ℤ

The inversion number of the associated bounded affine permutation.

St001547Decorated permutations ⟶ ℤ

The sum of all indices from every element of the Grassmann necklace.

St001548Decorated permutations ⟶ ℤ

The sum of the indices of the first term of the associated Grassmann necklace.

St001567Decorated permutations ⟶ ℤ

The number of weak exceedances of a decorated permutation.

St001818Decorated permutations ⟶ ℤ

The number of alignments of a decorated permutation.

St001824Decorated permutations ⟶ ℤ

The number of crossed alignments in a decorated permutation.

St001825Decorated permutations ⟶ ℤ

The size of the Grassmannian interval associated with a decorated permutation.