The data for n = 18


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 = 120.0844674


The minimum gram eigenvalue projection and the Coulomb projection reveal a very regular bandology of (1,4,4,4,4,1).

[Graphics:n18pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n18g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n18g2.jpg]

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largest eigenvalue Gram view

[Graphics:n18g3.jpg]

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The Coulomb view

[Graphics:n18coul.jpg]

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The points

{{0,0,1.},{0.000119161,0,-1.},{-0.942877,0.263796,-0.203455}, {-0.85328,-0.480169,0.203349},{-0.480221,0.853245,0.203375}, {-0.263823,-0.942877,-0.203423},{0.263785,0.942893,-0.203398}, {0.480144,-0.853271,0.203445},{0.853235,0.480196,0.203472}, {0.942892,-0.263812,-0.203366},{0.710388,-0.198773,0.675158}, {0.642931,0.36181,-0.67508},{0.361816,-0.642898,-0.675109}, {0.198699,0.710416,0.67515},{-0.198819,-0.710388,0.675144}, {-0.361757,0.64285,-0.675185},{-0.642817,-0.361763,-0.675214}, {-0.710417,0.198745,0.675136}}

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