Python E Examples

Example #1

File: universal_cyclotomic_field.py Project: sagemathinc/smc-sage

    def gen(self, n, k=1):
        r"""
        Return the standard ``n``-th root of unity.

        If ``k`` is not ``None``, return the ``k``-th power of it.

        EXAMPLES::

            sage: UCF = UniversalCyclotomicField()
            sage: UCF.gen(15)
            E(15)
            sage: UCF.gen(7,3)
            E(7)^3
            sage: UCF.gen(4,2)
            -1
        """
        return self.element_class(self, libgap.E(n)**k)

Example #2

    def gen(self, n, k=1):
        r"""
        Return the standard primitive ``n``-th root of unity.

        If ``k`` is not ``None``, return the ``k``-th power of it.

        EXAMPLES::

            sage: UCF = UniversalCyclotomicField()
            sage: UCF.gen(15)
            E(15)
            sage: UCF.gen(7,3)
            E(7)^3
            sage: UCF.gen(4,2)
            -1

        There is an alias ``zeta`` also available::

            sage: UCF.zeta(6)
            -E(3)^2
        """
        return self.element_class(self, libgap.E(n)**k)