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(1)   \begin{equation*}     P_{N-1}(x)=\sum_{j=0}^{N-1}{a_jx^j} \end{equation*}

(1)

\frac{1}{3}x^3

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), or there is some \alpha_i
outside the set defining the radical whose coefficient in \rho is at
least 2, in which case the root of least height in \Phi among those
whose \alpha_i-coefficient is 2 is a sum of two positive roots each
having \alpha_i-coefficient equal to 1.