SymPy | Permutation.is_even() in Python

Permutation.is_even() : is_even() is a sympy Python library function that checks whether the permutation is even.

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

Return : true – if the permutation is even; otherwise false

Code #1 : is_even() Example

# Python code explaining
# SymPy.Permutation.is_even()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation

# Using from sympy.combinatorics.permutations.Permutation.is_even() method

# creating Permutation
a = Permutation([[2, 0], [3, 1]])

b = Permutation([1, 3, 5, 4, 2, 0])


print ("Permutation a - is_even form : ", a.is_even)
print ("Permutation b - is_even form : ", b.is_even)

Output :

Permutation a – is_even form : True
Permutation b – is_even form : False

Code #2 : is_even() Example – 2D Permutation

# Python code explaining
# SymPy.Permutation.is_even()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation

# Using from sympy.combinatorics.permutations.Permutation.is_even() method

# creating Permutation
a = Permutation([[2, 4, 0],
                 [3, 1, 2],
                 [1, 5, 6]])


print ("Permutation a - is_even form : ", a.is_even)

Output :

Permutation a – is_even form : True