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We numerically find out the spectrum of the $3$ spin $1$ Dirac operatorsfound in~\cite{ApbPP}. We give an analytic and numerical proof that they areunitarily inequivalent. Since these operators come paired with an anticommutingchirality operator, we find their spectrums to resemble those of fermions withpositive and negative eigenvalues along with a number of zero modes. We give amethod to count the number of zero modes which can be extended to higher spinson $S_F^2$. An universal relation between the energy eigenvalues of the spin 1Dirac operator and their multiplicities is found. This helps us predict theenergy eigenvalues for an arbitrarily large cut-off $L$, a problem which iscomputationally difficult to handle.

Spectrum of Spin 1 Dirac Operators on the Fuzzy 2-Sphere