The formula for the degree of a coincident root locus $X$ associated with a partition $\lambda=(\lambda_1,\ldots,\lambda_d)$ was determined in the paper by D. Hilbert - Singularitaten der Diskriminantenflache - Math. Ann. 30, 437-441, 1887.
i1 : X = coincidentRootLocus {3,2,2,1,1,1,1} o1 = CRL(3,2,2,1,1,1,1) o1 : CoincidentRootLocus |
i2 : degree X o2 = 1260 |