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# Python | SymPy Permutation.cyclic_form() method

• Last Updated : 26 Aug, 2019

Permutation.cyclic_form() : cyclic_form() is a sympy Python library function that returns the cyclic notation from the canonical notation, by omitting the singletons.

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

Return :
cyclic notation from the canonical notation

Code #1 : cyclic_form() Example

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

Output :

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

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

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

Output :

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

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