We provide reference implementations using Psi4Numpy , which provides a simple NumPy interface to the Psi4 46 quantum chemistry engine. The code for these reference implementations can be freely accessed in the hilbert package and in the Psi4Numpy project . Furthermore, to provide a no-installation option for interested users to experiment with these implementations, we utilize the ChemCompute project to host the illustrative calculations discussed in the Results section below. Interested users can navigate to to register for a free ChemCompute account. Following registration, interested users can run calculations described in Table in the results section using the link in Ref. 50, the calculations described in Figure using the link Ref. 51, the results described in Table and Figure using the link in Ref. 52, the results illustrated in Figure using the link within Ref. 53, the results illustrated in Figure using the link within Ref. 54, and the results in Figure and 6 in the Appendix using the link within Ref. 55.