The data for n = 30


The potential
The picture and a description of the configuration
The Gram minimal eigenvalue projection
The Gram middle eigenvalue projection
The Gram largest eigenvalue projection
The Coulomb view
The points in Mathematica format

potential =359.6039417


The minimum and the maximum gram eigenvector projections each give 15 rows of 2's. The Coulomb projection has the degree 5 points with the same band structure found in the icosahedron.

[Graphics:n30pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n30g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n30g2.jpg]

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largest eigenvalue Gram view

[Graphics:n30g3.jpg]

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The Coulomb view

[Graphics:n30coul.jpg]

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The points

{{-0.382819, -0.38301, -0.840686}, {-0.828659, 0.0350304, -0.558657}, {-0.757928, 0.600769, 0.254208}, {0.298149, -0.275352, 0.913941}, {-0.742663, -0.578347, 0.33759}, {0.410933, 0.454639, 0.790214}, {0.0145585, -0.809809, -0.586514}, {-0.236454, 0.734561, 0.636011}, {-0.0802263, 0.810991, -0.579532}, {0.0182354, -0.850688, 0.525354}, {0.384502, 0.869561, 0.309873}, {0.958685, -0.284196, -0.0124967}, {-0.998533, -0.0132968, 0.0524956}, {-0.17408, 0.194021, 0.965428}, {0.815642, 0.0154299, 0.578351}, {-0.358199, -0.437938, 0.824563}, {-0.29811, 0.275365, -0.91395}, {0.37107, 0.387331, -0.843968}, {-0.748332, 0.090281, 0.657152}, {0.255343, -0.228236, -0.939526}, {-0.684378, 0.624458, -0.376401}, {0.851787, 0.148691, -0.502344}, {0.525824, 0.788208, -0.319745}, {0.889517, 0.44274, 0.112878}, {0.663136, -0.51347, -0.544608}, {-0.735798, -0.594271, -0.324719}, {-0.290083, -0.956795, -0.0198921}, {0.637586, -0.621859, 0.454727}, {-0.198907, 0.979767, 0.0221766}, {0.420197, -0.904578, -0.0719219}}

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Copyright by Neubauer, Schilling, Watkins and Zeitlin (1998).