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Atiyah's conjecture concerning configurations of N points in the Euclideanthree-space is verified for the following nonplanar configurations: The first mpoints lie on a line L and the remaining n=N-m (>2) points are the vertices ofa regular n-gon whose plane is perpendicular to L and whose centroid is on L.

Verification of Atiyah's conjecture for some nonplanar configurations with dihedral symmetry