In the square planar XeF₄ molecule, consider the symmetry-adapted linear combination p₁= p_A −p_B +p_C −p_D where p_A, p_B, p_C, and p_D are 2p_z atomic orbitals on the fluorine atoms (clockwise labelling of the F atoms). Using the reduced point group D₄ rather than the full symmetry point group of the molecule, determine which of the various s, p, and d atomic orbitals on the central Xe atom can form molecular orbitals with p₁.