code: def test_Module_compat_col():
      T = Poly(cyclotomic_poly(5, x))
      A = PowerBasis(T)
      col = to_col([1, 2, 3, 4])
      row = col.transpose()
      assert A.is_compat_col(col) is True
      assert A.is_compat_col(row) is False
      assert A.is_compat_col(1) is False
      assert A.is_compat_col(DomainMatrix.eye(3, ZZ)[:, 0]) is False
      assert A.is_compat_col(DomainMatrix.eye(4, QQ)[:, 0]) is False
      assert A.is_compat_col(DomainMatrix.eye(4, ZZ)[:, 0]) is True
  
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 4 for calling a global function with example usage: test_Module_compat_col() without return types