There are 23 statistics on Alternating sign matrices in the database:
(and possibly some waiting for verification)

St000065Alternating sign matrices ⟶ ℤ
The number of entries equal to -1 in an alternating sign matrix.
St000066Alternating sign matrices ⟶ ℤ
The column of the unique '1' in the first row of the alternating sign matrix.
St000067Alternating sign matrices ⟶ ℤ
The inversion number of the alternating sign matrix.
St000076Alternating sign matrices ⟶ ℤ
The rank of the alternating sign matrix in the alternating sign matrix poset.
St000134Alternating sign matrices ⟶ ℤ
The size of the orbit of an alternating sign matrix under gyration.
St000187Alternating sign matrices ⟶ ℤ
The determinant of an alternating sign matrix.
St000193Alternating sign matrices ⟶ ℤ
The row of the unique '1' in the first column of the alternating sign matrix.
St000197Alternating sign matrices ⟶ ℤ
The number of entries equal to positive one in the alternating sign matrix.
St000199Alternating sign matrices ⟶ ℤ
The column of the unique '1' in the last row of the alternating sign matrix.
St000200Alternating sign matrices ⟶ ℤ
The row of the unique '1' in the last column of the alternating sign matrix.
St000227Alternating sign matrices ⟶ ℤ
The osculating paths major index of an alternating sign matrix.
St000332Alternating sign matrices ⟶ ℤ
The positive inversions of an alternating sign matrix.
St000888Alternating sign matrices ⟶ ℤ
The maximal sum of entries on a diagonal of an alternating sign matrix.
St000889Alternating sign matrices ⟶ ℤ
The number of alternating sign matrices with the same antidiagonal sums.
St000890Alternating sign matrices ⟶ ℤ
The number of nonzero entries in an alternating sign matrix.
St000892Alternating sign matrices ⟶ ℤ
The maximal number of nonzero entries on a diagonal of an alternating sign matrix.
St000893Alternating sign matrices ⟶ ℤ
The number of distinct diagonal sums of an alternating sign matrix.
St000894Alternating sign matrices ⟶ ℤ
The trace of an alternating sign matrix.
St000895Alternating sign matrices ⟶ ℤ
The number of ones on the main diagonal of an alternating sign matrix.
St000896Alternating sign matrices ⟶ ℤ
The number of zeros on the main diagonal of an alternating sign matrix.
St000898Alternating sign matrices ⟶ ℤ
The number of maximal entries in the last diagonal of the monotone triangle.
St001030Alternating sign matrices ⟶ ℤ
Half the number of non-boundary horizontal edges in the fully packed loop corresponding to the alternating sign matrix.
St001260Alternating sign matrices ⟶ ℤ
The permanent of an alternating sign matrix.