SymPy | Permutation.mul_inv() in Python

Namachila October 26, 2025

0 1 1 minute read

Permutation.mul_inv() : mul_inv() is a sympy Python library function that returns the mul inverse other*~self, self and other have _array_form.

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

Return : the mul inverse other*~self, self and other have _array_form.

Code #1 : mul_inv() Example

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

Output :

Permutation a – mul_inv form : (3)
Permutation b – mul_inv form : (5)

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

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