SymPy | Permutation.signature() in Python
Last Updated :
27 Aug, 2019
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
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import 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())
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Output :
Permutation a – signature form : 1
Permutation b – signature form : -1
Code #2 : signature() Example
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
a = Permutation([[ 2 , 4 , 0 ],
[ 3 , 1 , 2 ],
[ 1 , 5 , 6 ]])
print ( "Permutation a - signature form : " , a.signature())
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Output :
Permutation a – signature form : 1
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