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The paper has been presented at the 12th International Conference on Applications of
Computer Algebra, Varna, Bulgaria, June, 2006.
The Weyl group W(E8) acts on the con guration space of
systems of labelled eight lines on a real projective plane. With a system of
eight lines with a certain condition, a diagram consisting of ten roots of the
root system of type E8 is associated. We have already shown the existence
of a W(E8)-equivariant map of the totality of such diagrams to the set...
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