The data for n = 9


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 = 25.75998653


The minimum gram eigenvector projection shows the configuration has bandology (3,3,3), i.e. 3 equilateral triangles rotated 60 degrees against each other.

[Graphics:n9pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n9g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n9g2.jpg]

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largest eigenvalue Gram view

[Graphics:n9g3.jpg]

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The Coulomb view

[Graphics:n9coul.jpg]

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The points

{{0,0,1.},{0.866001,0,-0.500043},{-0.866001,0,-0.500043}, {0,0.703682,-0.710515},{0,-0.703682,-0.710515}, {-0.615369,0.703632,0.355279},{-0.615369,-0.703632,0.355279}, {0.615369,-0.703632,0.355279},{0.615369,0.703632,0.355279}}

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