code: def test_EndomorphismRing_represent():
      T = Poly(cyclotomic_poly(5, x))
      A = PowerBasis(T)
      R = A.endomorphism_ring()
      phi = R.inner_endomorphism(A(1))
      col = R.represent(phi)
      assert col.transpose() == DomainMatrix(
          [[0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, -1]],
          (1, 16),
          ZZ,
      )
  
      B = A.submodule_from_matrix(DomainMatrix.zeros((4, 0), ZZ))
      S = B.endomorphism_ring()
      psi = S.inner_endomorphism(A(1))
      col = S.represent(psi)
      assert col == DomainMatrix([], (0, 0), ZZ)
  
      raises(NotImplementedError, lambda: R.represent(3.14))
  
imports: from sympy.abc import x, zeta
  from sympy.polys import Poly, cyclotomic_poly
  from sympy.polys.domains import FF, QQ, ZZ
  from sympy.polys.matrices import DomainMatrix, DM
  from sympy.polys.numberfields.exceptions import ClosureFailure, MissingUnityError, StructureError
  from sympy.polys.numberfields.modules import Module, ModuleElement, ModuleEndomorphism, PowerBasis, PowerBasisElement, find_min_poly, is_sq_maxrank_HNF, make_mod_elt, to_col
  from sympy.polys.numberfields.utilities import is_int
  from sympy.polys.polyerrors import UnificationFailed
  from sympy.testing.pytest import raises
label_desc: Use image node_id 53 for calling a global function with example usage: test_EndomorphismRing_represent() without return types