code: def Ynm_c(n, m, theta, phi):
      r"""
      Conjugate spherical harmonics defined as
  
      .. math::
          \overline{Y_n^m(\theta, \varphi)} := (-1)^m Y_n^{-m}(\theta, \varphi).
  
      Examples
      ========
  
      >>> from sympy import Ynm_c, Symbol, simplify
      >>> from sympy.abc import n,m
      >>> theta = Symbol("theta")
      >>> phi = Symbol("phi")
      >>> Ynm_c(n, m, theta, phi)
      (-1)**(2*m)*exp(-2*I*m*phi)*Ynm(n, m, theta, phi)
      >>> Ynm_c(n, m, -theta, phi)
      (-1)**(2*m)*exp(-2*I*m*phi)*Ynm(n, m, theta, phi)
  
      For specific integers $n$ and $m$ we can evaluate the harmonics
      to more useful expressions:
  
      >>> simplify(Ynm_c(0, 0, theta, phi).expand(func=True))
      1/(2*sqrt(pi))
      >>> simplify(Ynm_c(1, -1, theta, phi).expand(func=True))
      sqrt(6)*exp(I*(-phi + 2*conjugate(phi)))*sin(theta)/(4*sqrt(pi))
  
      See Also
      ========
  
      Ynm, Znm
  
      References
      ==========
  
      .. [1] https://en.wikipedia.org/wiki/Spherical_harmonics
      .. [2] https://mathworld.wolfram.com/SphericalHarmonic.html
      .. [3] https://functions.wolfram.com/Polynomials/SphericalHarmonicY/
  
      """
      return conjugate(Ynm(n, m, theta, phi))
  
imports: from sympy.core.expr import Expr
  from sympy.core.function import Function, ArgumentIndexError
  from sympy.core.numbers import I, pi
  from sympy.core.singleton import S
  from sympy.core.symbol import Dummy
  from sympy.functions import assoc_legendre
  from sympy.functions.combinatorial.factorials import factorial
  from sympy.functions.elementary.complexes import Abs, conjugate
  from sympy.functions.elementary.exponential import exp
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.functions.elementary.trigonometric import sin, cos, cot
label_desc: Use image node_id 1 for calling a global function with example usage: Ynm_c(n, m, theta, phi) and returns: conjugate