Further inspections show that the BSE@GW framework can also accurately predict that the triplet MC states are the lowest excited states. This suggests that the BSE@GW framework has the advantage of naturally including the correct ordering of the triplet states, whereas TDDFT calculations are unable to predict the same results unless specialized tuned range-separated functionals are used. A possible explanation for the correct ordering may be the exact Fock exchange that is included as part of the self-energy operator in equation (7) and consequently added to the quasiparticle energies. All the MC states share a similar composition and are closely clustered, except for the 6th and 7th states, which isolate one MC state from the rest. These lowest triplet MC states are located at similar energies.