# hilbertPolynomial(SpectralSequencePage) -- the Hilbert polynomial of a spectral sequence page

## Description

Returns the Hilbert polynomials of all modules of the spectral sequence page

As a specific example consider the filtered complex $K$ below, obtained by multiplying the minimal free resolution of the rational quartic space curve by successive powers of the irrelevant ideal.

 i1 : B = QQ[a..d]; i2 : J = ideal vars B; o2 : Ideal of B i3 : C = complete res monomialCurveIdeal(B,{1,3,4}); i4 : K = filteredComplex(J,C,4);

We compute the degree $0$ piece of the $E^3$ page below.

 i5 : E = prune spectralSequence K; i6 : hilbertPolynomial(E^3) +-------------+ o6 = |- 3*P + 4*P | | 0 1| | | |{-4, 4} | +-------------+ o6 : Page