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C.6.2.2 The algorithm of PottierThe algorithm of Pottier (see [Pot94]) starts by computing a lattice
basis
for the integer kernel of using the
LLL-algorithm. The ideal corresponding to the lattice basis vectors
is saturated - as in the algorithm of Conti and Traverso - by inversion of all variables: One adds an auxiliary variable and the generator to obtain an ideal in from which one computes by elimination of . |