The data for n = 13


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 = 58.85323062


Each of the cylindrical projections show interesting bandology--e.g. (2,2,5,2,2) in the minimum gram eigenvector projection.

[Graphics:n13pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n13g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n13g2.jpg]

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largest eigenvalue Gram view

[Graphics:n13g3.jpg]

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The Coulomb view

[Graphics:n13coul.jpg]

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The points

{{0,0,1.},{0.791401,0,0.611297},{-0.791406,0.00100408,0.61129}, {0.000533997,0.83847,-0.544947},{-0.000530067,-0.838881,-0.544315}, {-0.8074,0.580642,-0.104693},{0.808135,0.57962,-0.104688}, {-0.808207,-0.57964,-0.104013},{0.80747,-0.580668,-0.104008}, {-0.50524,-0.0000799886,-0.862979},{0.505247,-0.000721012,-0.862975}, {-0.000550848,-0.865553,0.500817},{0.000547471,0.865798,0.500393}}

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