SciCode / 70.6 / Write a function to calculate the two SU(3) invariants …

Write a function to calculate the two SU(3) invariants |h|²≡h_(k)h^(k) and ⟨h⟩≡d_(ijk)h^(i)h^(j)h^(k), where h is the expansion coefficients defined in prompt () and d_(ijk) is the tensor defined in prompt (). Sum over all indices. Then use the two invariants to calculate the following terms ψ_(m)≡(2|h|)/(√(3))cos[(1)/(3)(χ+2πm)] with m=1,2,3 and cos(χ)=−√(3)⟨h⟩/|h|³. Return a list containing h₂, h₃, and ψ_(m), in this order.

Write a function to calculate the two SU(3) invariants $|h|^{2} \equiv h_{k} h^{k}$ and $\langle h\rangle \equiv d_{i j k} h^{i} h^{j} h^{k}$, where $h$ is the expansion coefficients defined in prompt () and $d_{ijk}$ is the tensor defined in prompt (). Sum over all indices. Then use the two invariants to calculate the following terms $\psi_{m} \equiv \frac{2|h|}{\sqrt{3}} \cos \left[\frac{1}{3}(\chi+2 \pi m)\right]$ with $m=1,2,3$ and $\cos (\chi)=-\sqrt{3}\langle h\rangle /|h|^{3}$. Return a list containing $h_2$, $h_3$, and $\psi_{m}$, in this order.