# SymPy | Permutation.signature() in Python

Permutation.signature() : signature() is a sympy Python library function that returns the signature of the permutation needed to place the elements of the permutation in canonical order.
Signature = (-1)^<number of inversions>

Syntax : sympy.combinatorics.permutations.Permutation.signature()

Return : signature of the permutation.

Code #1 : signature() Example

 `# Python code explaining ` `# SymPy.Permutation.signature() ` ` `  `# importing SymPy libraries ` `from` `sympy.combinatorics.partitions ``import` `Partition ` `from` `sympy.combinatorics.permutations ``import` `Permutation ` ` `  `# Using from sympy.combinatorics.permutations.Permutation.signature() method  ` ` `  `# creating Permutation ` `a ``=` `Permutation([[``2``, ``0``], [``3``, ``1``]]) ` ` `  `b ``=` `Permutation([``1``, ``3``, ``5``, ``4``, ``2``, ``0``]) ` ` `  ` `  `print` `(``"Permutation a - signature form : "``, a.signature()) ` `print` `(``"Permutation b - signature form : "``, b.signature()) `

Output :

Permutation a – signature form : 1
Permutation b – signature form : -1

Code #2 : signature() Example

 `# Python code explaining ` `# SymPy.Permutation.signature() ` ` `  `# importing SymPy libraries ` `from` `sympy.combinatorics.partitions ``import` `Partition ` `from` `sympy.combinatorics.permutations ``import` `Permutation ` ` `  `# Using from  ` `# sympy.combinatorics.permutations.Permutation.signature() method  ` ` `  `# creating Permutation ` `a ``=` `Permutation([[``2``, ``4``, ``0``],  ` `                 ``[``3``, ``1``, ``2``], ` `                 ``[``1``, ``5``, ``6``]]) ` ` `  ` `  `print` `(``"Permutation a - signature form : "``, a.signature()) `

Output :

Permutation a – signature form : 1

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