### 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.

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smallest eigenvalue Gram view

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second largest eigenvalue Gram view

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largest eigenvalue Gram view

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The Coulomb view

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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).