Python | SymPy Permutation.full_cyclic_form() method

Permutation.full_cyclic_form() : full_cyclic_form() is a sympy Python library function that returns the permutation in cyclic form, by including the singletons.

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

Return :
permutation in cyclic form

Code #1 : full_cyclic_form() Example

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

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

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

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

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


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

Output :

Permutation a – full_cyclic_form form : [[0, 2, 3, 1], [4, 5]]
Permutation b – full_cyclic_form form : [[0, 3, 5], [1], [2], [4]]

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

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

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

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

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

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

Output :

Permutation a – full_cyclic_form form : [[0, 3, 5, 6, 1, 2, 4]]